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Number_gap-2026_717 - 5db3e688-3185-4dc6-b815-809336f46796 - (March 30, 2026)

gap 717, 719, 721, 723, 725

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"500 tickets were sold for a concert. \n\nThe ratio of adult tickets to child tickets was 3:2. \n\n40 adult tickets and 20 child tickets were refunded due to bad weather.\n\nWhat is the new ratio of adult to child tickets? Give your answer as a fraction in simplest form."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Adult tickets | \\= $\\dfrac{3}{5}$ $\\times$ 500 = 300 |\r\n| Child tickets | \\= $\\dfrac{2}{5}$ $\\times$ 500 = 200 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Adult tickets after refunds | \\= 300 − 40 = 260 |\r\n| Child tickets after refunds | \\= 200 − 20 = 180 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| New ratio | \\= $\\dfrac{260}{180}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"A nursery has 400 plants. \n\nThe ratio of flowering to non-flowering plants was 3:2. \n\n20 flowering and 40 non-flowering plants were sold. \n\nWhat is the new ratio of flowering to non-flowering plants? Give your answer as a fraction in simplest form."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Flowering plants | \\= $\\dfrac{3}{5}$ $\\times$ 400 = 240 |\r\n| Non-flowering plants | \\= $\\dfrac{2}{5}$ $\\times$ 400 = 160 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Flowering after sales | \\= 240 − 20 = 220 |\r\n| Non-flowering after sales | \\= 160 − 40 = 120 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| New ratio | \\= $\\dfrac{220}{120}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"A bag contains 560 marbles. \n\nThe ratio of red to blue marbles was 3:4. \n\n15 red and 25 blue marbles were removed. \n\nWhat is the new ratio of red to blue marbles? \nGive your answer as a fraction in simplest form."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Red marbles | \\= $\\dfrac{3}{7}$ $\\times$ 560 = 240 |\r\n| Blue marbles | \\= $\\dfrac{4}{7}$ $\\times$ 560 = 320 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Red marbles remaining | \\= 240 − 15 = 225 |\r\n| Blue marbles remaining | \\= 320 − 25 = 295 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| New ratio | \\= $\\dfrac{225}{295}$ |\r\n| | \\= $\\dfrac{5 \\times 45}{5 \\times 59}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"A gym has 630 members. \n\nThe ratio of male to female members was 4:5. \n\n45 male and 30 female memberships lapsed. \n\nWhat is the new ratio of male to female members? Give your answer as a fraction in simplest form."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Male members | \\= $\\dfrac{4}{9}$ $\\times$ 630 = 280 |\r\n| Female members | \\= $\\dfrac{5}{9}$ $\\times$ 630 = 350 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Male members remaining | \\= 280 − 45 = 235 |\r\n| Female members remaining | \\= 350 − 30 = 320 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| ---------------------- |\r\n| New ratio | \\= $\\dfrac{235}{320}$ |\r\n| | \\= $\\dfrac{5 \\times 47}{5 \\times 64}$|\n| |\\= {{{correctAnswer0}}}|\n\r\r\r\n</div>"}]},{"vars":[{"varval":"A warehouse has 800 items. \n\nThe ratio of large to small items was 3:5. \n\n60 large and 40 small items were dispatched. \n\nWhat is the new ratio of large to small items? Give your answer as a fraction in simplest form."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Large items | \\= $\\dfrac{3}{8}$ $\\times$ 800 = 300 |\r\n| Small items | \\= $\\dfrac{5}{8}$ $\\times$ 800 = 500 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Large items remaining | \\= 300 − 60 = 240 |\r\n| Small items remaining | \\= 500 − 40 = 460 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------:| -------------------------------------------- |\r\n| New ratio | \\= $\\dfrac{240}{460}$ |\r\n| | \\= $\\dfrac{20 \\times 12}{20 \\times 23}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\r\n</div>"}]}]

Number_gap-2026_707 - 35cefd8e-12cb-4b58-b838-1820e062d40f - (March 30, 2026)

Gap 707, 709, 711, 713, 715

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"At a school fete there were 80 students and 120 adults. \n\n45% of the students and 30% of the adults bought a raffle ticket. \n\nWhat percentage of the whole group bought a raffle ticket?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Students who bought a ticket | \\= 45% $\\times$ 80 |\r\n| | \\= $\\dfrac{45}{100}$ $\\times$ 80 |\r\n| | \\= $\\dfrac{9}{20}$ $\\times$ 80 |\r\n| | \\= 9 $\\times$ 4 = 36 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Adults who bought a ticket | \\= 30% $\\times$ 120 |\r\n| | \\= $\\dfrac{30}{100}$ $\\times$ 120 |\r\n| | \\= $\\dfrac{3}{10}$ $\\times$ 120 |\r\n| | \\= 3 $\\times$ 12 = 36 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Total who bought a ticket | \\= 36 + 36 = 72 |\r\n| Total in group | \\= 80 + 120 = 200 |\r\n| Percentage | \\= $\\dfrac{72}{200}$ $\\times$ 100 |\r\n| | \\= $\\dfrac{36}{100}$ $\\times$ 100 |\r\n| | \\= {{{correctAnswer0}}}%|\r\n</div>"}]},{"vars":[{"varval":"At a community event there were 80 adults and 120 children. \n\n35% of the adults and 55% of the children enjoyed the event. \n\nWhat percentage of the whole group enjoyed the event?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Adults who enjoyed the event | \\= 35% $\\times$ 80 |\r\n| | \\= $\\dfrac{35}{100}$ $\\times$ 80 |\r\n| | \\= $\\dfrac{7}{20}$ $\\times$ 80 |\r\n| | \\= 7 $\\times$ 4 = 28 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Children who enjoyed the event | \\= 55% $\\times$ 120 |\r\n| | \\= $\\dfrac{55}{100}$ $\\times$ 120 |\r\n| | \\= $\\dfrac{11}{20}$ $\\times$ 120 |\r\n| | \\= 11 $\\times$ 6 = 66 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Total who enjoyed the event | \\= 28 + 66 = 94 |\r\n| Total in group | \\= 80 + 120 = 200 |\r\n| Percentage | \\= $\\dfrac{94}{200}$ $\\times$ 100 |\r\n| | \\= $\\dfrac{47}{100}$ $\\times$ 100 |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>"}]},{"vars":[{"varval":"In a survey, 150 men and 100 women were asked if they exercise daily. \n\n30% of the men and 45% of the women said they exercise daily. \n\nWhat percentage of the whole group exercises daily?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Men who exercise daily | \\= 30% $\\times$ 150 |\r\n| | \\= $\\dfrac{30}{100}$ $\\times$ 150 |\r\n| | \\= $\\dfrac{3}{10}$ $\\times$ 150 |\r\n| | \\= 3 $\\times$ 15 = 45 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Women who exercise daily | \\= 45% $\\times$ 100 |\r\n| | \\= $\\dfrac{45}{100}$ $\\times$ 100 |\r\n| | \\= 45 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Total who exercise daily | \\= 45 + 45 = 90 |\r\n| Total in group | \\= 150 + 100 = 250 |\r\n| Percentage | \\= $\\dfrac{90}{250}$ $\\times$ 100 |\r\n| | \\= $\\dfrac{9}{25}$ $\\times$ 100 |\r\n| | \\= 9 $\\times$ 4 |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>"}]},{"vars":[{"varval":"At a school, 120 students and 80 teachers were surveyed about whether they use public transport. \n\n75% of the students and 25% of the teachers use public transport. \n\nWhat percentage of the whole group uses public transport?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Students who use public transport | \\= 75% $\\times$ 120 |\r\n| | \\= $\\dfrac{75}{100}$ $\\times$ 120 |\r\n| | \\= $\\dfrac{3}{4}$ $\\times$ 120 |\r\n| | \\= 3 $\\times$ 30 = 90 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Teachers who use public transport | \\= 25% $\\times$ 80 |\r\n| | \\= $\\dfrac{25}{100}$ $\\times$ 80 |\r\n| | \\= $\\dfrac{1}{4}$ $\\times$ 80 |\r\n| | \\= 20 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Total who use public transport | \\= 90 + 20 = 110 |\r\n| Total in group | \\= 120 + 80 = 200 |\r\n| Percentage | \\= $\\dfrac{110}{200}$ $\\times$ 100 |\r\n| | \\= $\\dfrac{11}{20}$ $\\times$ 100 |\r\n| | \\= 11 $\\times$ 5 |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>"}]},{"vars":[{"varval":"At a community club, 180 members and 120 non-members were asked if they voted yes in a recent poll. \n\n55% of members and 40% of non-members voted yes. \n\nWhat percentage of the whole group voted yes?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Members who voted yes | \\= 55% $\\times$ 180 |\r\n| | \\= $\\dfrac{55}{100}$ $\\times$ 180 |\r\n| | \\= $\\dfrac{11}{20}$ $\\times$ 180 |\r\n| | \\= 11 $\\times$ 9 = 99 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Non-members who voted yes | \\= 40% $\\times$ 120 |\r\n| | \\= $\\dfrac{40}{100}$ $\\times$ 120 |\r\n| | \\= $\\dfrac{2}{5}$ $\\times$ 120 |\r\n| | \\= 2 $\\times$ 24 = 48 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------------:| -------------------------------------------- |\r\n| Total who voted yes | \\= 99 + 48 = 147 |\r\n| Total in group | \\= 180 + 120 = 300 |\r\n| Percentage | \\= $\\dfrac{147}{300}$ $\\times$ 100 |\r\n| | \\= $\\dfrac{49}{100}$ $\\times$ 100 |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>"}]}]

Number_gap-2026_695 - 832fbed1-6498-428e-b484-c04f3471cf4c - (March 30, 2026)

Gap 695, 697, 699, 701, 703

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Two-thirds of a number is 24. \n\nWhat is three-quarters of twice the number?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| The number | \\= 24 $\\div$ $\\dfrac{2}{3}$ |\r\n| | \\= 24 $\\times$ $\\dfrac{3}{2}$ |\r\n| | \\= 36 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Twice the number | \\= 2 $\\times$ 36 = 72 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Three-quarters of 72 | \\= $\\dfrac{3}{4}$ $\\times$ 72 |\r\n| | \\= $\\dfrac{3}{4}$ $\\times$ 4 $\\times$ 18 |\n| | \\= 3 $\\times$ 18 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Three-fifths of a number is 45. \n\nWhat is two-thirds of three times the number?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| The number | \\= 45 $\\div$ $\\dfrac{3}{5}$ |\r\n| | \\= 45 $\\times$ $\\dfrac{5}{3}$ |\r\n| | \\= $\\dfrac{5}{3}$ $\\times$ 3 $\\times$ 15 |\r\n| | \\= 5 $\\times$ 15 = 75 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Three times the number | \\= 3 $\\times$ 75 = 225 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Two-thirds of 225 | \\= $\\dfrac{2}{3}$ $\\times$ 225 |\r\n| | \\= $\\dfrac{2}{3}$ $\\times$ 3 $\\times$ 75 |\r\n| | \\= 2 $\\times$ 75 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Four-sevenths of a number is 48.\n\nWhat is five-sixths of half the number?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| The number | \\= 48 $\\div$ $\\dfrac{4}{7}$ |\r\n| | \\= 48 $\\times$ $\\dfrac{7}{4}$ |\r\n| | \\= $\\dfrac{7}{4}$ $\\times$ 4 $\\times$ 12 |\r\n| | \\= 7 $\\times$ 12 = 84 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Half the number | \\= 84 $\\div$ 2 = 42 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Five-sixths of 42 | \\= $\\dfrac{5}{6}$ $\\times$ 42 |\r\n| | \\= $\\dfrac{5}{6}$ $\\times$ 6 $\\times$ 7 |\r\n| | \\= 5 $\\times$ 7 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Five-ninths of a number is 60. \n\nWhat is seven-eighths of twice the number?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| The number | \\= 60 $\\div$ $\\dfrac{5}{9}$ |\r\n| | \\= 60 $\\times$ $\\dfrac{9}{5}$ |\r\n| | \\= $\\dfrac{9}{5}$ $\\times$ 5 $\\times$ 12 |\r\n| | \\= 9 $\\times$ 12 = 108 |\r\n</div>\r\n<br>\n\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Twice the number | \\= 2 $\\times$ 108 = 216 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Seven-eighths of 216 | \\= $\\dfrac{7}{8}$ $\\times$ 216 |\r\n| | \\= $\\dfrac{7}{8}$ $\\times$ 8 $\\times$ 27 |\r\n| | \\= 7 $\\times$ 27 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Three-eighths of a number is 42. \n\nWhat is five-sevenths of three times the number?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| The number | \\= 42 $\\div$ $\\dfrac{3}{8}$ |\r\n| | \\= 42 $\\times$ $\\dfrac{8}{3}$ |\r\n| | \\= $\\dfrac{8}{3}$ $\\times$ 3 $\\times$ 14 |\r\n| | \\= 8 $\\times$ 14 = 112 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Three times the number | \\= 3 $\\times$ 112 = 336 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Five-sevenths of 336 | \\= $\\dfrac{5}{7}$ $\\times$ 336 |\r\n| | \\= $\\dfrac{5}{7}$ $\\times$ 7 $\\times$ 48 |\r\n| | \\= 5 $\\times$ 48 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]}]

Number_gap-2026_687 - d2a94bd2-c76c-4e28-8587-e827285bdc8e - (March 30, 2026)

Gap 687,698,691,693,695

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"There are 360 animals at a rescue shelter. \n\nTwo-thirds of the animals are dogs and the rest are cats. 35% of the dogs are puppies. \n\nHow many puppies are at the shelter?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number of dogs | \\= $\\dfrac{2}{3}$ $\\times$ 360 |\n| | \\= $\\dfrac{2}{3}$ $\\times$ 3 $\\times$ 120 |\n| | \\= 2 $\\times$ 120 = 240 | \n\r\n</div>\r\n<br>\n\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number of puppies | \\= 35% $\\times$ 240 |\r\n| | \\= $\\dfrac{35}{100}$ $\\times$ 240 |\r\n| | \\= $\\dfrac{7}{20}$ $\\times$ 240 |\r\n| | \\= 7 $\\times$ 12 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"There are 480 students at a school. \n\nThree-eighths of the students study music and the rest study art. 45% of the music students play piano. \n\nHow many music students play piano?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number of music students | \\= $\\dfrac{3}{8}$ $\\times$ 480 |\n| | \\= $\\dfrac{3}{8}$ $\\times$ 8 $\\times$ 60 |\n| | \\= 3 $\\times$ 60 = 180 |\n\r\n</div>\r\n<br>\n\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number who play piano | \\= 45% $\\times$ 180 |\r\n| | \\= $\\dfrac{45}{100}$ $\\times$ 180 |\r\n| | \\= $\\dfrac{9}{20}$ $\\times$ 180 |\r\n| | \\= 9 $\\times$ 9 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"There are 560 books in a library. \n\nThree-sevenths of the books are fiction and the rest are non-fiction. 15% of the fiction books are mysteries. \n\nHow many mystery books are in the library?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number of fiction books | \\= $\\dfrac{3}{7}$ $\\times$ 560 |\n| | \\= $\\dfrac{3}{7}$ $\\times$ 7 $\\times$ 80 |\n| | \\= 3 $\\times$ 80 = 240 |\r\n</div>\r\n<br>\n\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number of mystery books | \\= 15% $\\times$ 240 |\r\n| | \\= $\\dfrac{15}{100}$ $\\times$ 240 |\r\n| | \\= $\\dfrac{3}{20}$ $\\times$ 240 |\r\n| | \\= 3 $\\times$ 12 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"There are 640 people at a concert. \n\nFive-eighths of the people are adults and the rest are children. 30% of the adults are over 50. \n\nHow many adults over 50 are at the concert?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number of adults | \\= $\\dfrac{5}{8}$ $\\times$ 640 |\r\n| | \\= $\\dfrac{5}{8}$ $\\times$ 8 $\\times$ 80 |\r\n| | \\= 5 $\\times$ 80 = 400 |\r\n</div>\r\n<br>\n\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------- |\r\n| Number of adults over 50 | \\= 30% $\\times$ 400 |\r\n| | \\= $\\dfrac{30}{100}$ $\\times$ 400 |\r\n| | \\= $\\dfrac{3}{10}$ $\\times$ 400 |\r\n| | \\= 3 $\\times$ 40 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"There are 900 workers in an office building. \n\nFour-ninths of the workers are on the upper floors and the rest are on the lower floors. 55% of the upper floor workers are in the finance department. \n\nHow many upper floor workers are in finance?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------------:| -------------------------------------------- |\r\n| Number of upper floor workers | \\= $\\dfrac{4}{9}$ $\\times$ 900 |\r\n| | \\= $\\dfrac{4}{9}$ $\\times$ 9 $\\times$ 100 |\r\n| | \\= 4 $\\times$ 100 = 400 |\r\n</div>\r\n<br>\n\r\n<div class=\"aligned\">\n\r\n| | |\r\n| --------------------------:| -------------------------------------------- |\r\n| Number in finance | \\= 55% $\\times$ 400 |\r\n| | \\= $\\dfrac{55}{100}$ $\\times$ 400 |\r\n| | \\= $\\dfrac{11}{20}$ $\\times$ 400 |\r\n| | \\= 11 $\\times$ 20 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]}]

Number_gap-2026_682 - 3d6896ac-b45b-4cf1-b3cd-96a7230bd62d - (March 30, 2026)

GAP 682-686

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Two numbers multiply together to give 24 and add to give 10.\n\r\n\r\nWhat is the larger of the two numbers?"},{"varval":"Testing factor pairs of 24:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| 1 $\\times$ 24 = 24, 1 + 24 = 25 |\r\n| 2 $\\times$ 12 = 24, 2 + 12 = 14 |\r\n| 3 $\\times$ 8 = 24, 3 + 8 = 11 |\r\n| 4 $\\times$ 6 = 24, 4 + 6 = 10 ✓ |\r\n</div>\r\n<br>\r\nThe two numbers are 4 and 6.\n\r\n$\\therefore$ The larger number is {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Two numbers multiply together to give −18 and add to give 3.\n\r\n\r\nWhat is the larger of the two numbers?"},{"varval":"Testing factor pairs of 18 with opposite signs:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| 1 $\\times$ (−18) = −18, 1 + (−18) = −17 |\r\n| 2 $\\times$ (−9) = −18, 2 + (−9) = −7 |\r\n| 3 $\\times$ (−6) = −18, 3 + (−6) = −3 |\r\n| 6 $\\times$ (−3) = −18, 6 + (−3) = 3 ✓ |\r\n</div>\r\n<br>\n\r\nThe two numbers are 6 and −3.\n\r\n$\\therefore$ The larger number is {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Two numbers multiply together to give −20 and add to give −1.\n\r\n\r\nWhat is the smaller of the two numbers?"},{"varval":"Testing factor pairs of 20 with opposite signs:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| 1 $\\times$ (−20) = −20, 1 + (−20) = −19 |\r\n| 2 $\\times$ (−10) = −20, 2 + (−10) = −8 |\r\n| 4 $\\times$ (−5) = −20, 4 + (−5) = −1 ✓ |\r\n</div>\r\n<br>\n\r\nThe two numbers are 4 and −5.\n\r\n$\\therefore$ The smaller number is {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Two numbers multiply together to give 18 and add to give −9.\n\r\n\r\nWhat is the larger of the two numbers?"},{"varval":"Both numbers must be negative since the product is positive and the sum is negative.\r\n\r\nTesting negative factor pairs of 18:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| (−1) $\\times$ (−18) = 18, (−1) + (−18) = −19 |\r\n| (−2) $\\times$ (−9) = 18, (−2) + (−9) = −11 |\r\n| (−3) $\\times$ (−6) = 18, (−3) + (−6) = −9 ✓ |\r\n</div>\r\n<br>\n\r\nThe two numbers are −3 and −6.\n\r\n$\\therefore$ The larger number is {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Two numbers multiply together to give 24 and add to give −11\n\n\r\nWhat is the smaller of the two numbers?"},{"varval":"Both numbers must be negative since the product is positive and the sum is negative.\r\n\r\nTesting negative factor pairs of 24:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| (−1) $\\times$ (−24) = 24, (−1) + (−24) = −25 |\r\n| (−2) $\\times$ (−12) = 24, (−2) + (−12) = −14 |\r\n| (−3) $\\times$ (−8) = 24, (−3) + (−8) = −11 ✓ |\r\n</div>\r\n<br>\n\r\nThe two numbers are −3 and −8.\n\r\n$\\therefore$ The smaller number is {{{correctAnswer0}}}"}]}]

Number_gap-2026_677 - a8918eb8-c97d-475c-8999-03d95ff03bdf - (March 30, 2026)

Gap 677-681

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Luca made an error when solving a maths problem. \n\nThe correct method required him to add 4 to a number and then multiply the result by 5. Instead, Luca divided the number by 4 and added 5 to get an answer of 8. \n\nWhat is the correct answer?"},{"varval":"Finding the starting number:\r\n\r\n<div class=\"aligned\">\n\r\n| | \n|--------|\n| Luca's wrong answer \\= 8 | \r\n| Reverse add 5 $\\rightarrow$ subtract 5 \\= 8 − 5 = 3 | \n| Reverse divide by 4 $\\rightarrow$ multiply by 4 \\= 3 $\\times$ 4 = 12 | \r\n</div>\r\n<br>\n\r\nApplying the correct operations:\r\n\r\n<div class=\"aligned\">\n\r\n| | \r\n| ------------------------| \r\n| Starting number \\= 12 |\r\n| Add 4 \\= 12 + 4 = 16 | \r\n| Multiply by 5 \\= 16 $\\times$ 5 = 80 |\r\n| $\\therefore$ Correct Answer \\= {{{correctAnswer0}}} | \r\n</div>"}]},{"vars":[{"varval":"Zara made an error when solving a maths problem. \n\nThe correct method required her to subtract 8 from a number and then multiply the result by 3. Instead, Zara multiplied the number by 3 and subtracted 8 to get an answer of 22. \n\nWhat is the correct answer?"},{"varval":"Finding the starting number:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Zara's wrong answer = 22 |\r\n| Reverse subtract 8 $\\rightarrow$ add 8 = 22 + 8 = 30 |\r\n| Reverse multiply by 3 $\\rightarrow$ divide by 3 = 30 $\\div$ 3 = 10 |\r\n</div>\r\n<br>\n\r\nApplying the correct operations:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Starting number = 10 |\r\n| Subtract 8 = 10 − 8 = 2 |\r\n| Multiply by 3 = 2 $\\times$ 3 = 6 |\r\n| $\\therefore$ Correct Answer = {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Benji made an error when solving a maths problem. \n\nThe correct method required him to divide a number by 6 and then add 24. Instead, Benji added 24 to the number and then divided by 6 to get an answer of 9. \n\nWhat is the correct answer?"},{"varval":"Finding the starting number:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Benji's wrong answer = 9 |\r\n| Reverse divide by 6 $\\rightarrow$ multiply by 6 = 9 $\\times$ 6 = 54 |\r\n| Reverse add 24 $\\rightarrow$ subtract 24 = 54 − 24 = 30 |\r\n</div>\r\n<br>\n\r\nApplying the correct operations:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Starting number = 30 |\r\n| Divide by 6 = 30 $\\div$ 6 = 5 |\r\n| Add 24 = 5 + 24 = 29 |\r\n| $\\therefore$ Correct Answer = {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Isla made an error when solving a maths problem. \n\nThe correct method required her to add 12 to a number and then multiply the result by 5. Instead, Isla multiplied the number by 5 and then added 12 to get an answer of 37. \n\nWhat is the correct answer?"},{"varval":"Finding the starting number:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Isla's wrong answer = 37 |\r\n| Reverse add 12 $\\rightarrow$ subtract 12 = 37 − 12 = 25 |\r\n| Reverse multiply by 5 $\\rightarrow$ divide by 5 = 25 $\\div$ 5 = 5 |\r\n</div>\r\n<br>\n\r\nApplying the correct operations:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Starting number = 5 |\r\n| Add 12 = 5 + 12 = 17 |\r\n| Multiply by 5 = 17 $\\times$ 5 = 85 |\r\n| $\\therefore$ Correct Answer = {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Theo made an error when solving a maths problem. \n\nThe correct method required him to subtract 8 from a number and then divide the result by 3. Instead, Theo divided the number by 8 and then subtracted 3 to get an answer of 4. \n\nWhat is the correct answer?"},{"varval":"Finding the starting number:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Theo's wrong answer = 4 |\r\n| Reverse subtract 3 $\\rightarrow$ add 3 = 4 + 3 = 7 |\r\n| Reverse divide by 8 $\\rightarrow$ multiply by 8 = 7 $\\times$ 8 = 56 |\r\n</div>\r\n<br>\n\r\nApplying the correct operations:\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Starting number = 56 |\r\n| Subtract 8 = 56 − 8 = 48 |\r\n| Divide by 3 = 48 $\\div$ 3 = 16 |\r\n| $\\therefore$ Correct Answer = {{{correctAnswer0}}} |\r\n</div>"}]}]

Number_gap-2026_672 - 00f6172d-cef1-4e8c-974e-309dbe45c59a - (March 29, 2026)

Gap 672-676

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jocasta knows that 480 ÷ 16 = 30.\r\nWhat is 4.8 ÷ 0.16?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| -------------------------------------------------- |\r\n| 4.8 ÷ 0.16 | \\= $\\dfrac{4.8}{0.16}$ |\r\n| | \\= $\\dfrac{48}{1.6}$ |\r\n| | \\= $\\dfrac{480}{16}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Casey knows that 756 ÷ 27 = 28.\r\n\r\nWhat is 75.6 ÷ 2.7?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| -------------------------------------------------- |\r\n| 75.6 ÷ 2.7 | \\= $\\dfrac{75.6}{2.7}$ |\r\n| | \\= $\\dfrac{756}{27}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Jono knows that 644 ÷ 28 = 23.\n\r\nWhat is 6.44 ÷ 0.028?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| -------------------------------------------------- |\r\n| 6.44 ÷ 0.028 | \\= $\\dfrac{6.44}{0.028}$ |\r\n| | \\= $\\dfrac{64.4}{0.28}$ |\r\n| | \\= $\\dfrac{644}{2.8}$ |\r\n| | \\= $\\dfrac{6440}{28}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Paul knows that 1125 ÷ 45 = 25.\r\n\r\nWhat is 11.25 ÷ 0.045?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| -------------------------------------------------- |\r\n| 11.25 ÷ 0.045 | \\= $\\dfrac{11.25}{0.045}$ |\r\n| | \\= $\\dfrac{112.5}{0.45}$ |\r\n| | \\= $\\dfrac{1125}{4.5}$ |\r\n| | \\= $\\dfrac{11250}{45}$ |\r\n| | \\= $\\dfrac{1125}{45}$ $\\times$ 10 |\r\n| | \\= 25 $\\times$ 10 |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Lena knows that 875 ÷ 25 = 35.\r\n\r\nWhat is 8.75 ÷ 250?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| -------------------------------------------------- |\r\n| 8.75 ÷ 250 | \\= $\\dfrac{8.75}{250}$ |\r\n| | \\= $\\dfrac{87.5}{2500}$ |\r\n| | \\= $\\dfrac{875}{25000}$ |\r\n| | \\= $\\dfrac{875}{25} \\div 1000$ |\r\n| | \\= $35 \\div 1000$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]}]

Number_gap-2026_667 - be24d1ca-6978-492f-b61b-f3bc210ce769 - (March 29, 2026)

Gap 667-671

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"60% of students at a university are undergraduates.\r\n50% of undergraduates are studying science.\r\n20% of undergraduate science students are in their final year.\r\n\r\nWhat percentage of university students are final year undergraduate science students?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| ---------------------------- |\r\n| Undergraduates | \\= 60% of all students |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| --------------------------------:| ---------------------------- |\r\n| Undergraduate science students | \\= 50% of 60% |\r\n| | \\= 30% of all students |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| -------------------------------------------:| ---------------------------------------- |\r\n| Final year undergraduate science students | \\= 20% of 30% |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>\r\n<br>\r\n\n$\\therefore$ {{{correctAnswer0}}}% of university students are final year undergraduate science students."}]},{"vars":[{"varval":"80% of members at a sports club are adults.\r\n25% of adult members play tennis.\r\n30% of adult tennis players compete in tournaments.\r\n\r\nWhat percentage of all members are adults who compete in tennis tournaments?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| Adult members | \\= 80% of all members |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| Adult tennis players | \\= 25% of 80% |\r\n| | \\= 20% of all members |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| -----------------------------------------:| ---------------------------- |\r\n| Adults competing in tennis tournaments | \\= 30% of 20% |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>\r\n<br>\n\r\n$\\therefore$ {{{correctAnswer0}}}% of all members are adults who compete in tennis tournaments."}]},{"vars":[{"varval":"75% of employees at a company work full time.\r\n40% of full time employees work in sales.\r\n20% of full time sales employees are female.\r\n25% of full time female sales employees are managers.\r\n\r\nWhat percentage of all employees are full time female sales managers?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| Full time employees | \\= 75% of all employees |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| Full time sales employees | \\= 40% of 75% |\r\n| | \\= 30% of all employees |\r\n</div>\r\n<br>\n\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------------:| ---------------------------- |\r\n| Full time female sales employees | \\= 20% of 30% |\r\n| | \\= 6% of all employees |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| -------------------------------------------:| ---------------------------- |\r\n| Full time female sales managers | \\= 25% of 6% |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>\r\n<br>\n\r\n$\\therefore$ {{{correctAnswer0}}}% of all employees are full time female sales managers."}]},{"vars":[{"varval":"60% of people in a town own a car.\r\n45% of car owners also own a bicycle.\r\n20% of those who own both a car and bicycle use both to commute.\r\n50% of those commuters are female.\r\n\r\nWhat percentage of all people in the town are females who commute using both a car and bicycle?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| Car owners | \\= 60% of all people |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| Car and bicycle owners | \\= 45% of 60% |\r\n| | \\= 27% of all people |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| -----------------------------------------:| ---------------------------- |\r\n| Car and bicycle commuters | \\= 20% of 27% |\r\n| | \\= 5.4% of all people |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| -----------------------------------------:| ---------------------------- |\r\n| Female car and bicycle commuters | \\= 50% of 5.4% |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>\r\n<br>\n\r\n$\\therefore$ {{{correctAnswer0}}}% of all people in the town are females who commute using both a car and bicycle."}]},{"vars":[{"varval":"70% of students at a school study a language.\r\n40% of language students study French.\r\n25% of French students also study Spanish.\r\n20% of those studying both French and Spanish are in Year 7.\r\n50% of those Year 7 students are girls.\r\n\r\nWhat percentage of all students are Year 7 girls studying both French and Spanish?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| Language students | \\= 70% of all students |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\n\r\n| | |\r\n| ----------------------------:| ---------------------------- |\r\n| French students | \\= 40% of 70% |\r\n| | \\= 28% of all students |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------------:| ---------------------------- |\r\n| French and Spanish students | \\= 25% of 28% |\r\n| | \\= 7% of all students |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| -----------------------------------------:| ---------------------------- |\r\n| Year 7 French and Spanish students | \\= 20% of 7% |\r\n| | \\= 1.4% of all students |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| -----------------------------------------------:| ---------------------------- |\r\n| Year 7 girls studying French and Spanish | \\= 50% of 1.4% |\r\n| | \\= {{{correctAnswer0}}}% |\r\n</div>\r\n\n<br>\n\n\r\n$\\therefore$ {{{correctAnswer0}}}% of all students are Year 7 girls studying both French and Spanish."}]}]

Number_gap-2026_662 - 0db11db3-2491-43e6-853a-32c0a3fd77f0 - (March 29, 2026)

GAP 662-666

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The value of $\\sqrt{0.25}$ is\r\n\r\nGive your answer as a decimal."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| ---------------------------------------- |\r\n| $\\sqrt{0.25}$ | \\= $\\sqrt{\\dfrac{25}{100}}$ |\r\n| | \\= $\\dfrac{\\sqrt{25}}{\\sqrt{100}}$ |\r\n| | \\= $\\dfrac{5}{10}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"The value of $\\sqrt{0.49}$ is\r\n\r\nGive your answer as a decimal."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| ---------------------------------------- |\r\n| $\\sqrt{0.49}$ | \\= $\\sqrt{\\dfrac{49}{100}}$ |\r\n| | \\= $\\dfrac{\\sqrt{49}}{\\sqrt{100}}$ |\r\n| | \\= $\\dfrac{7}{10}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"The value of $\\sqrt{0.0036}$ is\r\n\r\nGive your answer as a decimal."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| ---------------------------------------- |\r\n| $\\sqrt{0.0036}$ | \\= $\\sqrt{\\dfrac{36}{10000}}$ |\r\n| | \\= $\\dfrac{\\sqrt{36}}{\\sqrt{10000}}$ |\r\n| | \\= $\\dfrac{6}{100}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"The value of $\\sqrt{0.0144}$ is\r\n\r\nGive your answer as a decimal."},{"varval":"<div class=\"aligned\">\r\n\n| | |\r\n| ------------------:| ---------------------------------------- |\r\n| $\\sqrt{0.0144}$ | \\= $\\sqrt{\\dfrac{144}{10000}}$ |\r\n| | \\= $\\dfrac{\\sqrt{144}}{\\sqrt{10000}}$ |\r\n| | \\= $\\dfrac{12}{100}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"The value of $\\sqrt{0.0225}$ is\r\n\r\nGive your answer as a decimal."},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| ---------------------------------------- |\r\n| $\\sqrt{0.0225}$ | \\= $\\sqrt{\\dfrac{225}{10000}}$ |\r\n| | \\= $\\dfrac{\\sqrt{225}}{\\sqrt{10000}}$ |\r\n| | \\= $\\dfrac{15}{100}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]}]

Number_gap-2026-656 - b7d7e1fc-bf32-4b6c-8214-92cdcb928210 - (March 29, 2026)

Gap 656-660

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jordan knows that 24 $\\times$ 35 = 840.\r\n\r\nWhat is 2.4 $\\times$ 3.5?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------:| -------------------------------------------- |\r\n| 2.4 $\\times$ 3.5 | \\= $\\dfrac{24}{10}$ $\\times$ $\\dfrac{35}{10}$ |\r\n| | \\= $\\dfrac{24 \\times 35}{100}$ |\r\n| | \\= $\\dfrac{840}{100}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Mia knows that 56 $\\times$ 43 = 2408.\r\n\r\nWhat is 5.6 $\\times$ 0.43?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------:| --------------------------------------------- |\r\n| 5.6 $\\times$ 0.43 | \\= $\\dfrac{56}{10}$ $\\times$ $\\dfrac{43}{100}$ |\r\n| | \\= $\\dfrac{56 \\times 43}{1000}$ |\r\n| | \\= $\\dfrac{2408}{1000}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Tanya knows that 67 $\\times$ 49 = 3283.\r\n\r\nWhat is 0.67 $\\times$ 0.49?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ---------------------:| ------------------------------------------------ |\r\n| 0.67 $\\times$ 0.49 | \\= $\\dfrac{67}{100}$ $\\times$ $\\dfrac{49}{100}$ |\r\n| | \\= $\\dfrac{67 \\times 49}{10000}$ |\r\n| | \\= $\\dfrac{3283}{10000}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Sam knows that 78 $\\times$ 54 = 4212.\r\n\r\nWhat is 7.8 $\\times$ 0.054?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| ------------------------------------------------ |\r\n| 7.8 $\\times$ 0.054 | \\= $\\dfrac{78}{10}$ $\\times$ $\\dfrac{54}{1000}$ |\r\n| | \\= $\\dfrac{78 \\times 54}{10000}$ |\r\n| | \\= $\\dfrac{4212}{10000}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Alex knows that 93 $\\times$ 76 = 7068.\r\n\r\nWhat is 0.093 $\\times$ 7.6?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| ------------------------------------------------- |\r\n| 0.093 $\\times$ 7.6 | \\= $\\dfrac{93}{1000}$ $\\times$ $\\dfrac{76}{10}$ |\r\n| | \\= $\\dfrac{93 \\times 76}{10000}$ |\r\n| | \\= $\\dfrac{7068}{10000}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]},{"vars":[{"varval":"Chris knows that 84 $\\times$ 65 = 5460.\r\n\r\nWhat is 0.084 $\\times$ 0.65?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------:| -------------------------------------------------- |\r\n| 0.084 $\\times$ 0.65 | \\= $\\dfrac{84}{1000}$ $\\times$ $\\dfrac{65}{100}$ |\r\n| | \\= $\\dfrac{84 \\times 65}{100000}$ |\r\n| | \\= $\\dfrac{5460}{100000}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n</div>"}]}]

Number_692-03-2026 - 1e6a118c-a654-4891-984c-aa4daed14470 - (March 28, 2026)

Gap 690-697 - Basic

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:\r\n\r\nDose for child = (Dose for adult $\\times$ mass of child) $\\div$ 70\r\n\r\nA child of mass 42 kg is given a dose of 12 mL. What is the adult dose of this medicine?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------: | ----------------------------------------- |\r\n| Dose for child | \\= (Dose for adult $\\times$ 42) $\\div$ 70 |\r\n| | |\r\n| 12 | \\= (Dose for adult $\\times$ 42) $\\div$ 70 |\r\n| | |\r\n| Dose for adult | \\= (12 $\\times$ 70) $\\div$ 42 |\r\n| | \\= $\\dfrac{6 \\times 2 \\times 7 \\times 10}{6 \\times 7}$ |\r\n| | \\= 2 $\\times$ 10 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n</div>"}]},{"vars":[{"varval":"A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:\r\n\r\nDose for child = (Dose for adult $\\times$ mass of child) $\\div$ 70\r\n\r\nWhat is the correct dose for a child of mass 35 kg if the adult dose is 20 mL?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------: | -------------------------------------- |\r\n| Dose for child | \\= (20 $\\times$ 35) $\\div$ 70 |\r\n| | \\= $\\dfrac{4 \\times 5 \\times 5 \\times 7}{2 \\times 5 \\times 7}$ |\r\n| | \\= 2 $\\times$ 5 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n</div>"}]},{"vars":[{"varval":"A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:\r\n\r\nDose for child = (Dose for adult $\\times$ mass of child) $\\div$ 70\r\n\r\nWhat is the correct dose for a child of mass 49 kg if the adult dose is 30 mL?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------: | -------------------------------------- |\r\n| Dose for child | \\= (30 $\\times$ 49) $\\div$ 70 |\r\n| | \\= $\\dfrac{3 \\times 10 \\times 7 \\times 7}{7 \\times 10}$ |\r\n| | \\= 3 $\\times$ 7 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n</div>"}]},{"vars":[{"varval":"A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:\r\n\r\nDose for child = (Dose for adult $\\times$ mass of child) $\\div$ 70\r\n\r\nA child receives a dose of 10 mL. The adult dose is 25 mL. What is the mass of the child?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------: | ----------------------------------------- |\r\n| Dose for child | \\= (25 $\\times$ mass of child) $\\div$ 70 |\r\n| | |\r\n| 10 | \\= (25 $\\times$ mass of child) $\\div$ 70 |\r\n| | |\r\n| Mass of child | \\= (10 $\\times$ 70) $\\div$ 25 |\r\n| | \\= $\\dfrac{2 \\times 5 \\times 7 \\times 2 \\times 5}{5 \\times 5}$ |\r\n| | \\= 2 $\\times$ 7 $\\times$ 2 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n</div>"}]},{"vars":[{"varval":"A rule to find the correct dose of a particular medicine for a child, when the mass of the child in kilograms is known is:\r\n\r\nDose for child = (Dose for adult $\\times$ mass of child) $\\div$ 70\r\n\r\nA child of mass 56 kg is given a dose of 8 mL. What is the adult dose of this medicine?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| --------------------: | ----------------------------------------- |\r\n| Dose for child | \\= (Dose for adult $\\times$ 56) $\\div$ 70 |\r\n| | |\r\n| 8 | \\= (Dose for adult $\\times$ 56) $\\div$ 70 |\r\n| | |\r\n| Dose for adult | \\= (8 $\\times$ 70) $\\div$ 56 |\r\n| | \\= $\\dfrac{8 \\times 7 \\times 10}{8 \\times 7}$ |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n</div>"}]}]

Number_2026-03-656 - bad978c9-133f-4121-bc36-b5383b7595f1 - (March 08, 2026)

Numeracy Non-Calc gap

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Geordie was working on the following number pattern:\n\n<div class=\"aligned\">\n\r\n\n>| | |\r\n| ------: | --------------------------- |\r\n| $7^2$ | \\= 4 $\\times$ 10 + 9 |\n| $8^2$ | \\= 5 $\\times$ 11 + 9 |\n| $9^2$ | \\= 6 $\\times$ 12 + 9 |\n| $10^2$ | \\= 7 $\\times$ 13 + 9 |\n\n</div>\r\n<br>\r\n\nFollowing this pattern, what is the value of $97^2$?"},{"varval":"Working with the pattern\n<div class=\"aligned\">\n\r\n\n>| | |\r\n| ------: | --------------------------- |\r\n| $7^2$ | \\= ($7 - 3)\\ \\times\\ (7 + 3) + 9$ |\n| $8^2$ | \\= ($8 - 3)\\ \\times\\ (8 + 3) + 9$ |\n| $9^2$ | \\= ($9 - 3)\\ \\times\\ (9 + 3) + 9$ |\n| $10^2$ | \\= ($10 - 3)\\ \\times\\ (10 + 3) + 9$ |\n\n</div>\r\n<br>\r\n\n<div class=\"aligned\">\n\r\nTherefore\n\n>| | |\r\n| ------: | --------------------------- |\r\n| $97^2$ | \\= $(97 - 3)\\ \\times\\ (97 + 3) + 9$ |\n| | \\= $94\\ \\times 100 + 9$ |\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Tariq was working on the following number pattern:\n\n<div class=\"aligned\">\n\n>| | |\n| --------: | ---------------- |\n| $11^2$ | \\= 121 |\n| $111^2$ | \\= 12 321 |\n| $1111^2$ | \\= 1 234 321 |\n| $11111^2$ | \\= 123 454 321 |\n</div>\n<br>\n\nFollowing this pattern, what is the value of $111111^2$?"},{"varval":"Working with the pattern\n\n<div class=\"aligned\">\n\n>| | |\n| --------: | ---------------- |\n| $11^2$ | \\= 121 |\n| $111^2$ | \\= 12 321 |\n| $1111^2$ | \\= 1 234 321 |\n| $11111^2$ | \\= 123 454 321 |\n</div>\n<br>\n\n<div class=\"aligned\">\nTherefore\n\n>| | |\n| ---------: | ----------------------- |\n| $111111^2$ | \\= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Bianca was working on the following number pattern:\n\n<div class=\"aligned\">\n\n>| | |\n| ----: | ---------------------------- |\n| $6^2$ | \\= 4 $\\times$ 8 + 4 |\n| $7^2$ | \\= 5 $\\times$ 9 + 4 |\n| $8^2$ | \\= 6 $\\times$ 10 + 4 |\n| $9^2$ | \\= 7 $\\times$ 11 + 4 |\n</div>\n<br>\n\nFollowing this pattern, what is the value of $22^2$?"},{"varval":"Working with the pattern\n\n<div class=\"aligned\">\n\n>| | |\n| ----: | ------------------------------------ |\n| $6^2$ | \\= $(6 - 2)\\ \\times\\ (6 + 2) + 4$ |\n| $7^2$ | \\= $(7 - 2)\\ \\times\\ (7 + 2) + 4$ |\n| $8^2$ | \\= $(8 - 2)\\ \\times\\ (8 + 2) + 4$ |\n| $9^2$ | \\= $(9 - 2)\\ \\times\\ (9 + 2) + 4$ |\n</div>\n\n<br>\n<div class=\"aligned\">\nTherefore\n\n>| | |\n| -----: | ------------------------------------- |\n| $22^2$ | \\= $(22 - 2)\\ \\times\\ (22 + 2) + 4$ |\n| | \\= $20\\ \\times\\ 24\\ +\\ 4$ |\n| | \\= $480 + 4$ |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"Kofi was working on the following number pattern:\n\n<div class=\"aligned\">\n\n>| | |\n| ----: | ---------------------------- |\n| $6^2$ | \\= 4 $\\times$ 7 + 8 |\n| $7^2$ | \\= 5 $\\times$ 8 + 9 |\n| $8^2$ | \\= 6 $\\times$ 9 + 10 |\n| $9^2$ | \\= 7 $\\times$ 10 + 11 |\n</div>\n<br>\n\nFollowing this pattern, what is the value of $99^2$?"},{"varval":"Working with the pattern\n\n<div class=\"aligned\">\n\n>| | |\n| ----: | ---------------------------------------- |\n| $6^2$ | \\= $(6 - 2)\\ \\times\\ (6 + 1) + (6 + 2)$ |\n| $7^2$ | \\= $(7 - 2)\\ \\times\\ (7 + 1) + (7 + 2)$ |\n| $8^2$ | \\= $(8 - 2)\\ \\times\\ (8 + 1) + (8 + 2)$ |\n| $9^2$ | \\= $(9 - 2)\\ \\times\\ (9 + 1) + (9 + 2)$ |\n</div>\n\n<br>\n\n<div class=\"aligned\">\nTherefore\n\n>| | |\n| -----: | ------------------------------------------- |\n| $99^2$ | \\= $(99 - 2)\\ \\times\\ (99 + 1) + (99 + 2)$ |\n| | \\= $97\\ \\times\\ 100 + 101$ |\n| | \\= $9700 + 101$ |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"Yara was working on the following number pattern:\n\n<div class=\"aligned\">\n\n>| | |\n| ---------------: | ----------------------- |\n| $5\\ \\times\\ 7$ | \\= $6^2 - 1$ |\n| $6\\ \\times\\ 8$ | \\= $7^2 - 1$ |\n| $7\\ \\times\\ 9$ | \\= $8^2 - 1$ |\n| $8\\ \\times\\ 10$ | \\= $9^2 - 1$ |\n</div>\n<br>\n\nFollowing this pattern, what is the value of $\\ 49 \\times 51$? "},{"varval":"Working with the pattern\n\n<div class=\"aligned\">\n\n>| | |\n| ---------------: | ----------------------- |\n| $5\\ \\times\\ 7$ | \\= $(5 + 1)^2 - 1$ |\n| $6\\ \\times\\ 8$ | \\= $(6 + 1)^2 - 1$ |\n| $7\\ \\times\\ 9$ | \\= $(7 + 1)^2 - 1$ |\n| $8\\ \\times\\ 10$ | \\= $(8 + 1)^2 - 1$ |\n</div>\n<br>\n\n<div class=\"aligned\">\nTherefore\n\n>| | |\n| ----------------: | ----------------------- |\n| $49\\ \\times\\ 51$ | \\= $(49 + 1)^2 - 1$ |\n| | \\= $50^2 - 1$ |\n| | \\= $2500 - 1$ |\n| | \\= {{{correctAnswer0}}} |\n</div>"}]}]

Number_2026-02-650 - bd4f8732-44cc-4675-be85-317ac81e1da7 - (February 26, 2026)

Non-calculator GAP 644-675

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following is equal to $4^3$?"},{"varval":"<div class=\"aligned\">\n\r\n\n| | |\r\n| ------ | ------------------------------------------------------------------ |\r\n| $4^3$ | \\= 4 $\\times$ 4 $\\times$ 4 = 64 |\r\n| $2^6$ | \\= 2 $\\times$ 2 $\\times$ 2 $\\times$ 2 $\\times$ 2 $\\times$ 2 = 64 |\r\n\n</div>\r\n<br>\r\n\nTherefore {{{correctAnswer}}} = $4^3$"}]},{"vars":[{"varval":"Which of the following is equal to $2^4$?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------ | -------------------------------------------- |\r\n| $2^4$ | \\= 2 $\\times$ 2 $\\times$ 2 $\\times$ 2 = 16 |\r\n| $4^2$ | \\= 4 $\\times$ 4 = 16 |\r\n</div>\r\n<br>\r\n\nTherefore {{{correctAnswer}}} = $2^4$"}]},{"vars":[{"varval":"Which of the following is equal to $3^4$?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------ | -------------------------------------------- |\r\n| $3^4$ | \\= 3 $\\times$ 3 $\\times$ 3 $\\times$ 3 = 81 |\r\n| $9^2$ | \\= 9 $\\times$ 9 = 81 |\r\n</div>\r\n<br>\r\n\nTherefore {{{correctAnswer}}} = $3^4$"}]},{"vars":[{"varval":"Which of the following is equal to $8^2$?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------ | --------------------------------- |\r\n| $8^2$ | \\= 8 $\\times$ 8 = 64 |\r\n| $4^3$ | \\= 4 $\\times$ 4 $\\times$ 4 = 64 |\r\n</div>\r\n<br>\r\n\nTherefore {{{correctAnswer}}} = $8^2$"}]},{"vars":[{"varval":"Which of the following is equal to $3^3$?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------- | ---------------------------------- |\r\n| $3^3$ | \\= 3 $\\times$ 3 $\\times$ 3 = 27 |\r\n| $27^1$ | \\= 27 |\r\n</div>\r\n\n<br>\n\r\nTherefore {{{correctAnswer}}} = $3^3$ "}]},{"vars":[{"varval":"Which of the following is equal to $2^6$?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------ | ------------------------------------------------------------------ |\r\n| $2^6$ | \\= 2 $\\times$ 2 $\\times$ 2 $\\times$ 2 $\\times$ 2 $\\times$ 2 = 64 |\r\n| $4^3$ | \\= 4 $\\times$ 4 $\\times$ 4 = 64 |\r\n</div>\r\n<br>\r\n\nTherefore {{{correctAnswer}}} = $2^6$ "}]}]

Number_2026_02_290 - 5bbd19f2-55ab-4600-b244-3e0b7bbe1349 - (February 25, 2026)

Adaptive question gap 290

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these is **not** equal to 24?"},{"varval":"<div class=\"aligned\">\nChecking options:\n\n>>| | |\n| ---------------- | ------ |\n|30 − 4 − 2 | = 24 |\n|4 $\\times$ 5 + 4 | = 24 |\n|3 $\\times$ 10 − 8 | = 22 |\n|3 $\\times$ 8 + 0 | = 24 |\nTherefore 3 $\\times$ 10 − 8 is **not** equal to 24.\n</div>\n\n"}]},{"vars":[{"varval":"Which of the following is **not** equal to 20?"},{"varval":"<div class=\"aligned\">\nChecking options:\n\n>>| | |\n| --------------------- | ------ |\n| 5 $\\times$ 4 | = 20 |\n| 30 − 6 − 4 | = 20 |\n| 3 $\\times$ 5 + 4 | = 19 |\n| 4 $\\times$ 4 + 4 | = 20 |\nTherefore 3 $\\times$ 5 + 4 is **not** equal to 20.\n</div>"}]},{"vars":[{"varval":"Which of the following is **not** equal to 36?"},{"varval":"<div class=\"aligned\">\nChecking options:\n\n>>| | |\n| --------------------- | ------ |\n| 6 $\\times$ 6 | = 36 |\n| 40 − 2 − 2 | = 36 |\n| 5 $\\times$ 8 − 6 | = 34 |\n| 4 $\\times$ 9 + 2 $\\times$ 0 | = 36 |\nTherefore 5 $\\times$ 8 − 6 is **not** equal to 36.\n</div>"}]},{"vars":[{"varval":"Which of the following is **not** equal to 12?"},{"varval":"<div class=\"aligned\">\nChecking options:\n\n>>| | |\n| --------------------- | ------ |\n| 3 $\\times$ 2 + 4 $\\times$ 1 + 2 | = 12 |\n| 20 − 4 + 6 − 10 | = 12 |\n| 5 $\\times$ 3 − 4 | = 11 |\n| 24 $\\div$ 3 + 2 $\\times$ 2| = 12 |\nTherefore 3 $\\times$ 3 + 2 is **not** equal to 12.\n</div>"}]},{"vars":[{"varval":"Which of the following is NOT equal to 30?"},{"varval":"<div class=\"aligned\">\nChecking options:\n\n>>| | |\n| --------------------- | ------ |\n| 5 $\\times$ ( 4 + 2 ) | = 30 |\n| 4 $\\times$ 9 − 2 $\\times$ 3 | = 30 |\n| 8 + 6 $\\times$ 4 | = 32 |\n| ( 7 + 5 − 2 ) $\\times$ 3 | = 30 |\nTherefore 6 $\\times$ 4 + 8 is NOT equal to 30.\n</div>"}]}]

Geometry_02_2026_001 - dfb4f3ac-f1c8-44cc-8a64-8c8d0888d145 - (February 25, 2026)

Gap @324

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Johnno wants to build a 3D model of a cube using matchsticks and clay.\n\nIf he uses one matchstick per edge, how many matchsticks will he need?"},{"varval":"A cube has 12 edges.\n\nTherefore, Johnno will need {{{correctAnswer}}} matchsticks.\n"}]},{"vars":[{"varval":"Wyatt is building a 2D model of a pentagon using matchsticks and clay.\n\nIf he uses one matchstick per side, how many matchsticks will he need?"},{"varval":"A pentagon has 5 sides.\n\nTherefore Wyatt will need {{correctAnswer}} matchsticks."}]},{"vars":[{"varval":"Jill is building a 2D model of an octagon using matchsticks and clay.\n\nIf she uses one matchstick per side, how many matchsticks will she need?"},{"varval":"A octagon has 8 sides.\n\nTherefore Jill will need {{correctAnswer}} matchsticks."}]},{"vars":[{"varval":"Immy is building a 2D model of a decagon using toothpicks and clay.\n\nIf she uses one toothpick per side, how many toothpicks will she need?"},{"varval":"A decagon has 10 sides.\n\nTherefore Immy will need {{correctAnswer}} toothpicks."}]},{"vars":[{"varval":"Blair wants to build a 3D model of a triangular pyramid using toothpicks and glue.\n\nIf she uses one toothpick per edge, how many toothpicks will she need?"},{"varval":"A triangular pyramid has 6 edges.\n\nTherefore, Blair will need {{{correctAnswer}}} toothpicks."}]},{"vars":[{"varval":"Fi wants to build a 3D model of a square based pyramid using matchsticks and clay.\n\nIf she uses one matchstick per edge, how many matchsticks will she need?"},{"varval":"A square based pyramid has 8 edges.\n\nTherefore, Fi will need {{{correctAnswer}}} matchsticks."}]}]

Number, NAP 39-2025 - 5a077faa-3294-4a5a-b9ee-da70b32a282a - (December 04, 2025)

Decimals 5-10

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Four friends measured each other and recorded the measurements in metres correct to 2 decimal places.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-39-2025v0.svg 300 indent vpad\n\n<br>\n\nWhich height measurement must belong to Mila?"},{"varval":"Height order from tallest to shortest is:\n>> Harley\n\n>>Betty\n\n>> Jayce\n\n>> Mila\n\n<br>\n\n$\\therefore$ Mila's height is {{{correctAnswer}}}."}]},{"vars":[{"varval":"Four friends measured each other and recorded the measurements in metres correct to 2 decimal places.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-39-2025v0.svg 300 indent vpad\n\n<br>\n\nWhich height measurement must belong to Jayce?"},{"varval":"Height order from tallest to shortest is:\n>> Harley\n\n>> Betty\n\n>> Jayce\n\n>> Mila\n\n<br>\n\n$\\therefore$ Jayce's height is {{{correctAnswer}}}."}]},{"vars":[{"varval":"Four friends measured each other and recorded the measurements in metres correct to 2 decimal places.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-39-2025v1_1.svg 300 indent vpad\n\n<br>\n\nWhich height measurement must belong to Daisy?"},{"varval":"Height order from tallest to shortest is:\n>> Jules\n\n>> Abby\n\n>> Aina\n\n>> Daisy\n\n<br>\n\n$\\therefore$ Daisy's height is {{{correctAnswer}}}."}]},{"vars":[{"varval":"Four friends measured each other and recorded the measurements in metres correct to 2 decimal places.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-39-2025v1_1.svg 300 indent vpad\n\n<br>\n\nWhich height measurement must belong to Abby?"},{"varval":"Height order from tallest to shortest is:\n>> Jules\n\n>> Abby\n\n>> Aina\n\n>> Daisy\n\n<br>\n\n$\\therefore$ Abby's height is {{{correctAnswer}}}."}]}]

Number, NAP 38-2025 - c5dce3b8-80c7-49dd-8594-da49a1620b20 - (December 04, 2025)

Fractions

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What fraction of the stars are shaded? \n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-38-2025_v0_1.svg 240 indent1 vpad\n"},{"varval":"sm_nogap There are 10 stars altogether.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Fraction shaded|= $\\dfrac{5}{10}$|\n||= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"What fraction of the iguanas are shaded? \n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-38-2025_v1.svg 240 indent1 vpad\n"},{"varval":"sm_nogap There are 8 iguanas altogether.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Fraction shaded|= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"What fraction of the forks are shaded? \n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-38-2025_v2.svg 340 indent1 vpad"},{"varval":"sm_nogap There are 16 forks altogether.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Fraction shaded|= $\\dfrac{4}{16}$|\n| |= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"What fraction of these dogs are **unshaded**? \n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-38-2025_v3.svg 300 indent1 vpad"},{"varval":"sm_nogap There are 14 dogs altogether. \n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Fraction unshaded|= {{{correctAnswer}}} |\n</div>"}]}]

Number, NAP 37-2025 - a8da2062-26ae-40ec-992c-52c573db269b - (December 04, 2025)

Fractions

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Beau shades one third of the boomerangs.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-37-2025_v0.svg 280 indent1 vpad\n\n<br>How many boomerangs did he shade?"},{"varval":"sm_nogap There are 21 boomerangs.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Shaded boomerangs|= 21 $\\div$ 3|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Victor shades one ninth of the rocket-ships.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-37-2025_v1.svg 250 indent1 vpad\n\n<br>How many rocket-ships did he shade?"},{"varval":"sm_nogap There are 18 rocket ships.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Shaded rocket ships|= 18 $\\div$ 9|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Lulu shades half of the stars.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-37-2025_v2.svg 220 indent1 vpad\n\n<br>How many stars did she shade?"},{"varval":"sm_nogap There are 10 stars.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Shaded stars|= 10 $\\div$ 2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Cora shades one third of the arrows.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP-37-2025_v3.svg 250 indent1 vpad\n\n<br>How many arrows did she shade?"},{"varval":"sm_nogap There are 12 arrows.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Shaded arrows|= 12 $\\div$ 3|\n||= {{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAP 35-2025 - e3ebd591-fbef-4de0-84a2-e327c37f7e8e - (December 03, 2025)

Fractions

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jocelyn needs to cut all these oranges in half so she can make juice.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP_35-2025.svg 200 indent3 vpad\n\n<br>How many oranges halves will she have?"},{"varval":"sm_nogap There are 5 whole oranges.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Orange halves|= 5 $\\times$ 2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Paul needs to cut all these pineapples in half.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP_35-2025_v1.svg 200 indent3 vpad\n\n<br>How many pineapple halves will he have?"},{"varval":"sm_nogap There are 4 whole pineapples.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Pineapple halves|= 4 $\\times$ 2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Eric needs to cut all these apples into quarters.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP_35-2025_v2.svg 200 indent3 vpad\n\n<br>How many apple quarters will he have?"},{"varval":"sm_nogap There are 7 whole apples.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Apple quarters|= 7 $\\times$ 4|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Bianca needs to cut all these bananas into thirds.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2025/12/Number_NAP_35-2025_v3.svg 200 indent3 vpad\n\n<br>How many banana thirds will she have?"},{"varval":"sm_nogap There are 5 whole bananas.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Banana thirds|= 5 $\\times$ 3|\n||= {{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAP 36-2025 - 5af51c90-d157-464e-a35f-03b633003f76 - (December 03, 2025)

Fractions

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Julian has 12 logs of equal length and needs to cut them into halves so they fit in his trailer.\n\nHow many half logs will Julian have altogether?"},{"varval":"sm_nogap There are 12 whole logs.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Half logs |= 12 $\\times$ 2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Boris makes sandwiches for his 4 children's lunches.\n\nHe makes 2 sandwiches for each child and cuts each sandwich into quarters.\n\nHow many quarter sandwiches in total will Boris have for his children's lunches?"},{"varval":"sm_nogap There are 4 $\\times$ 2 = 8 whole sandwiches.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|quarter sandwiches |= 8 $\\times$ 4|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Rebecca has made 14 quiches and needs to cut them in half so they fit in her freezer.\n\nHow many half quiches will Rebecca have in her freezer altogether?"},{"varval":"sm_nogap There are 14 whole quiches.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Half quiches |= 14 $\\times$ 2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Brian has 8 pieces of ribbon each a metre long.\n\nHe needs to cut each one into halves to wrap his Christmas presents.\n\nHow many half metre pieces of ribbon will Brian have altogether?"},{"varval":"sm_nogap There are 8 whole metres.\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Half metres |= 8 $\\times$ 2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAP 20-2025 - 89d2ff54-f14c-4ceb-b3e6-031d7f5b8b00 - (December 01, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Nigel bought a skateboard on sale at 10% off the original price. The original price was \\$180.\n\nWhat was the discount Nigel received?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Discount amount\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 10% of \\$180 |\n> > | =$\\dfrac{10}{100}\\ \\times$ \\$180| |\n> > | = \\$18 |\n</div>\n<br>\n\n$\\therefore$ Nigel received an {{{correctAnswer}}} discount\n</div>"}]},{"vars":[{"varval":"Isabella bought a jacket on sale at 20% off the original price. The original price was \\$110.\n\nWhat discount did Isabella receive?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Discount amount = 20% of \\$110\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = $\\dfrac{20}{100}$ $\\times$ \\$110 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ Isabella's discount was {{{correctAnswer}}}\n</div>"}]},{"vars":[{"varval":"Loki bought a television on sale at 25% off the original price. The original price was \\$640.\n\nHow much did Loki receive as a discount?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Discount amount = 25% of \\$640\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = $\\dfrac{25}{100}$ $\\times$ \\$640 |\n> > | = {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Loki's discount was {{{correctAnswer}}}\n</div>"}]},{"vars":[{"varval":"Sachi bought a bike on sale at 15% off the original price. The original price was \\$420.\n\nHow much did Sachi receive as a discount?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Discount amount = 15% of \\$420\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = $\\dfrac{15}{100}$ $\\times$ \\$420 |\n> > | = {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Sachi was given a {{{correctAnswer}}} discount\n</div>"}]}]

Number, NAP 19-2025 - ea782442-da26-48a2-88d4-8e61d7731103 - (December 01, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A family movie pass for 6 movies costs \\$87. An individual movie ticket costs \\$16.50.\n\nHow much does a family save by buying the movie pass instead of paying for 6 individual tickets?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost of 6 individual tickets\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 6 $\\times$ \\$16.50 |\n> > | = \\$99.00 |\n</div>\n<br>\nSavings by buying family movie pass\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$99.00 - \\$87.00 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ The family saves {{{correctAnswer}}} by buying the movie pass\n</div>"}]},{"vars":[{"varval":"Marcus's monthly gym membership costs \\$52. A casual visit to the gym costs \\$8.\n\nHow much does Marcus save by purchasing a monthly membership instead of paying for 8 casual visits?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost of 8 casual visits\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 8 $\\times$ \\$8 |\n> > | = \\$64 |\n</div>\n<br>\nSavings by buying monthly membership\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$64 - \\$52 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ Marcus saves {{{correctAnswer}}} by purchasing a monthly membership\n</div>"}]},{"vars":[{"varval":"A 10-trip train pass costs \\$38.50. A single train trip costs \\$4.80.\n\nHow much does a commuter save by buying a 10-trip pass instead of paying for 10 single trips?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost of 10 single trips\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 10 $\\times$ \\$4.80 |\n> > | = \\$48.00 |\n</div>\n<br>\nSavings by buying 10-trip pass\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$48.00 - \\$38.50 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ The commuter saves {{{correctAnswer}}} by buying a 10-trip pass\n</div>"}]},{"vars":[{"varval":"A family movie pass for 6 movies costs \\$87. An individual movie ticket costs \\$16.50.\n\nHow much does a family save by buying the movie pass instead of paying for 6 individual tickets?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost of 6 individual tickets\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 6 $\\times$ \\$16.50 |\n> > | = \\$99.00 |\n</div>\n<br>\nSavings by buying family movie pass\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$99.00 - \\$87.00 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ The family saves {{{correctAnswer}}} by buying the movie pass\n</div>"}]}]

Number, NAP 18-2025 - 7a6e1641-0add-43e2-a666-0a0adade4223 - (December 01, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Chloe buys a tablet using AfterPay for \\$680. \n\nShe pays it off in 4 equal fortnightly payments.\n\nAfter making 2 payments, how much does Chloe still owe?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$680 $\\div$ 4 |\n> > | = \\$170 |\n</div>\n<br>\nAmount paid after 2 payments\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 2 $\\times$ \\$170 |\n> > | = \\$340 | \n</div> \n<br>\nAmount still owed\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$680 - \\$340 |\n> > | = \\$340 |\n</div>\n<br>\n\n$\\therefore$ Chloe still owes \\$340\n</div>"}]},{"vars":[{"varval":"Oliver purchases a new television for \\$1,560 using AfterPay. \n\nHe makes 4 equal fortnightly payments.\n\nAfter making 1 payment, how much does Oliver still owe?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$1,560 $\\div$ 4 |\n> > | = \\$390 |\n</div>\n\n<br>\nAmount paid after 1 payment\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 1 $\\times$ \\$390 |\n> > | = \\$390 |\n</div>\n\n<br>\nAmount still owed\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$1,560 - \\$390 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ Oliver still owes {{{correctAnswer}}}\n</div>"}]},{"vars":[{"varval":"Zara buys a camera for \\$1,348 using AfterPay and pays it off in 4 equal fortnightly payments.\n\nAfter making 3 payments, how much does Zara still owe?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$1,348 $\\div$ 4 |\n> > | = \\$337 |\n</div>\n<br>\nAmount paid after 3 payments\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 3 $\\times$ \\$337 |\n> > | = \\$1,011 |\n</div>\n\n<br>\nAmount still owed\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$1,348 - \\$1,011 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ Zara still owes {{{correctAnswer}}} \n</div>"}]},{"vars":[{"varval":"Ethan purchases sports equipment for \\$2,184 using AfterPay. He makes 4 equal fortnightly payments.\n\nAfter making 1 payment, how much does Ethan still owe?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$2,184 $\\div$ 4 |\n> > | = \\$546 |\n</div>\n<br>\nAmount paid after 1 payment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 1 $\\times$ \\$546 |\n> > | = \\$546 |\n</div>\n<br>\nAmount still owed\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$2,184 - \\$546 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ Ethan still owes {{{correctAnswer}}}\n</div>"}]}]

Number, NAP 17-2025 - a2e5ff20-5c0c-427f-ab7f-5278e0aec7f8 - (December 01, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sarah wants to buy a new phone that costs \\$460. \n\nShe decides to use AfterPay to purchase it.\n\nCalculate the fortnightly repayments if the phone is to be paid off in 4 equal payments."},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$460 $\\div$ 4 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ Sarah's fortnightly repayment is {{{correctAnswer}}}\n</div>"}]},{"vars":[{"varval":"James purchases a laptop using AfterPay for \\$1,240. \n\nHe chooses to pay it off in 4 equal fortnightly payments.\n\nCalculate the amount of each fortnightly repayment."},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$1,240 $\\div$ 4 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ James's fortnightly repayment is {{{correctAnswer}}}\n</div>"}]},{"vars":[{"varval":"Emma buys a new bicycle that costs \\$765 using AfterPay. \n\nShe makes 4 equal fortnightly payments.\n\nWhat is the total amount Emma has paid after making 3 payments?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$765 $\\div$ 4 |\n> > | = \\$191.25 |\n</div>\n<br>\n\nAmount paid after 3 payments\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 3 $\\times$ \\$191.25 |\n> > | = {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ Emma has paid {{{correctAnswer}}} after 3 payments\n</div>"}]},{"vars":[{"varval":"Liam uses AfterPay to purchase a gaming console for \\$896. \n\nHe pays it off in 4 equal fortnightly payments.\n\nWhat is the total amount Liam has paid after making 3 payments?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Fortnightly repayment\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$896 $\\div$ 4 |\n> > | = \\$224 |\n</div>\n\n<br>\nAmount paid after 3 payments\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 3 $\\times$ \\$224 |\n> > | = {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Liam has paid {{{correctAnswer}}} after 3 payments\n</div>\n"}]}]

Number, NAP 16-2025 - 27c51cb2-eb07-4ea8-ae09-0f4c925f0648 - (November 27, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jasmine makes bracelets that she sells at a school fair for \\$9 each. \n\nThe cost, in dollars, to make the bracelets is found by the rule:\n\n'Cost = 4 × the number of bracelets + \\$20'\n\nHow much profit does Jasmine make if she sells 12 bracelets?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Revenue from 12 bracelets\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 12 $\\times$ \\$9 |\n> > | = \\$108 |\n</div>\n<br>\nCost to make 12 bracelets\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 4 $\\times$ 12 + \\$20 |\n> > | = \\$48 + \\$20 |\n> > | = \\$68 |\n</div>\n\n<br>\nProfit\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$108 - \\$68 |\n> > | = {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\n$\\therefore$ Jasmine makes a profit of {{{correctAnswer}}} \n</div>"}]},{"vars":[{"varval":"Marcus makes wooden toys that he sells at a craft fair for \\$12 each. \n\nThe cost, in dollars, to make the toys is found by the rule:\n\n'Cost = 7 × the number of toys + \\$30'\n\nHow much profit does Marcus make if he sells 15 toys?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Revenue from 15 toys\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 15 $\\times$ \\$12 |\n> > | = \\$180 |\n</div>\n<br>\nCost to make 15 toys\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 7 $\\times$ 15 + \\$30 |\n> > | = \\$105 + \\$30 |\n> > | = \\$135 |\n</div>\n\n<br>\nProfit\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$180 - \\$135 |\n> > | = {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Marcus makes a profit of {{{correctAnswer}}} \n</div>"}]},{"vars":[{"varval":"Aisha bakes cupcakes that she sells at school events for \\$4.50 each. \n\nThe cost, in dollars, to make the cupcakes is found by the rule:\n\n'Cost = 2.5 × the number of cupcakes + \\$18'\n\nHow much profit does Aisha make if she sells 20 cupcakes?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Revenue from 20 cupcakes\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 20 $\\times$ \\$4.50 |\n> > | = \\$90 |\n</div>\n<br>\nCost to make 20 cupcakes\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 2.5 $\\times$ 20 + \\$18 |\n> > | = \\$50 + \\$18 |\n> > | = \\$68 |\n</div>\n\n<br>\nProfit\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$90 - \\$68 |\n> > | = \\$22 |\n</div>\n\n<br>\n\n$\\therefore$ Aisha makes a profit of \\$22\n</div>"}]},{"vars":[{"varval":"Daniel creates greeting cards that he sells online for \\$6 each. \n\nThe cost, in dollars, to make the cards is found by the rule:\n\n'Cost = 3.5 × the number of cards + \\$22'\n\nHow much profit does Daniel make if he sells 24 cards?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Revenue from 24 cards\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 24 $\\times$ \\$6 |\n> > | = \\$144 |\n</div>\n<br>\nCost to make 24 cards\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 3.5 $\\times$ 24 + \\$22 |\n> > | = \\$84 + \\$22 |\n> > | = \\$106 |\n</div>\n<br>\nProfit\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$144 - \\$106 |\n> > | = {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Daniel makes a profit of {{{correctAnswer}}} \n</div>"}]}]

Number, NAP 15-2025 - 810b9087-7a0f-478f-ad21-8f4084928fc6 - (November 27, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Olivia bought 3 notebooks and a pen for \\$9.50. The pen cost \\$2.00. \n\nWhat would 5 notebooks and 2 pens cost?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Cost of 3 notebooks | \\= \\$9.50 - \\$2.00|\n| | = \\$7.50|\n|Cost of 1 notebook | \\= \\$7.50 $\\div$ 3|\n| | = \\$2.50|\n|Cost of 5 notebooks and 2 pens | \\= 5 $\\times$ \\$2.50 + 2 $\\times$ \\$2.00|\n| | = \\$12.50 + \\$4.00|\n| | \\= {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ 5 notebooks and 2 pens would cost {{{correctAnswer}}}\n</div>"}]},{"vars":[{"varval":"At a bakery, Marcus bought 2 muffins and 3 cookies for \\$11.40. Each cookie costs \\$1.80. \n\nWhat would 4 muffins and 1 cookie cost?"},{"varval":"<div class=\"sm_mode\">\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Cost of 3 cookies | \\= 3 $\\times$ \\$1.80|\n| | = \\$5.40|\n|Cost of 2 muffins | \\= \\$11.40 - \\$5.40|\n| | = \\$6.00|\n|Cost of 1 muffin | \\= \\$6.00 $\\div$ 2|\n| | = \\$3.00|\n|Cost of 4 muffins and 1 cookie | \\= 4 $\\times$ \\$3.00 + \\$1.80|\n| | = \\$12.00 + \\$1.80|\n| | \\= \\$13.80 |\n</div>\n<br>\n\n$\\therefore$ 4 muffins and 1 cookie would cost \\$13.80\n</div>"}]},{"vars":[{"varval":"Sofia purchased 4 pencils and 2 erasers for \\$7.20. Each eraser costs \\$1.20. \n\nWhat would 7 pencils and 3 erasers cost?"},{"varval":"<div class=\"sm_mode\">\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Cost of 2 erasers | \\= 2 $\\times$ \\$1.20|\n| | = \\$2.40|\n|Cost of 4 pencils | \\= \\$7.20 - \\$2.40|\n| | = \\$4.80|\n|Cost of 1 pencil | \\= \\$4.80 $\\div$ 4|\n| | = \\$1.20|\n|Cost of 7 pencils and 3 erasers | \\= 7 $\\times$ \\$1.20 + 3 $\\times$ \\$1.20|\n| | = \\$8.40 + \\$3.60|\n| | \\= {{{correctAnswer}}} |\n</div>\n<br>\n\n$\\therefore$ 7 pencils and 3 erasers would cost {{{correctAnswer}}}\n</div>"}]},{"vars":[{"varval":"At a sports store, Chen bought 4 tennis balls and 3 wristbands for \\$18.50. Each wristband costs \\$2.50. \n\nWhat would 6 tennis balls and 2 wristbands cost?\n\n"},{"varval":"<div class=\"sm_mode\">\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Cost of 3 wristbands | \\= 3 $\\times$ \\$2.50|\n| | = \\$7.50|\n|Cost of 4 tennis balls | \\= \\$18.50 - \\$7.50|\n| | = \\$11.00|\n|Cost of 1 tennis ball | \\= \\$11.00 $\\div$ 4|\n| | = \\$2.75|\n|Cost of 6 tennis balls and 2 wristbands | \\= 6 $\\times$ \\$2.75 + 2 $\\times$ \\$2.50|\n| | = \\$16.50 + \\$5.00|\n| | \\= \\$21.50 |\n</div>\n<br>\n\n$\\therefore$ 6 tennis balls and 2 wristbands would cost \\$21.50\n</div>"}]}]

Number, NAP 14-2025 - 6a4abd0b-844f-4f30-be77-e9179c4e2051 - (November 27, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jason works casually at a local cafe. His timesheet for this week is shown below.\n\n<div class=\"sm-table row1-color5 heading-color5\">\n\n>>Jason's Timesheet\n\n>>| Day | Hours Worked |\n|:-:|:-:|\n| Wednesday | 4 hours |\n| Friday | 5 hours |\n| Saturday | 6 hours |\n</div>\n\n<br>\n\nJason earns \\$18 per hour on weekdays and \\$27 per hour (time and a half) on Saturdays.\n\nHow much did Jason earn in total this week?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Earnings | \\= 4 $\\times$ \\$18 + 5 $\\times$ \\$18 + 6 $\\times$ \\$27|\n| | = \\$72 + \\$90 + \\$162|\n| | \\= \\$324 |\n</div>\n\n<br>\n\n$\\therefore$ Jason earned \\$324 this week\n</div>"}]},{"vars":[{"varval":"Emma works casually at a supermarket. Her roster for this week is shown below.\n\n<div class=\"sm-table row1-color1 heading-color1\">\n\n>>Emma's Roster\n\n>>| Day | Hours Worked |\n|:-:|:-:|\n| Tuesday | 3.5 hours |\n| Thursday | 4 hours |\n| Sunday | 5 hours |\n</div>\n\n<br>\n\nEmma earns \\$22 per hour on weekdays and \\$33 per hour (time and a half) on Sundays.\n\nHow much did Emma earn in total this week?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Earnings | \\= 3.5 $\\times$ \\$22 + 4 $\\times$ \\$22 + 5 $\\times$ \\$33|\n| | = \\$77 + \\$88 + \\$165|\n| | \\= \\$330 |\n</div>\n<br>\n\n$\\therefore$ Emma earned \\$330 this week\n\n</div>"}]},{"vars":[{"varval":"Marcus works casually at a hardware store. His timesheet for the week is shown below.\n\n<div class=\"sm-table row1-color4 heading-color4\">\n\n>>Marcus's Timesheet\n\n>>| Day | Hours Worked |\n|:-:|:-:|\n| Monday | 6 hours |\n| Wednesday | 4.5 hours |\n| Saturday | 7 hours |\n</div>\n<br>\n\nMarcus earns \\$24.50 per hour on weekdays and \\$36.75 per hour (time and a half) on Saturdays.\n\nHow much did Marcus earn in total this week?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Earnings | \\= 6 $\\times$ \\$24.50 + 4.5 $\\times$ \\$24.50 + 7 $\\times$ \\$36.75|\n| | = \\$147 + \\$110.25 + \\$257.25|\n| | \\= \\$514.50 |\n</div>\n\n<br>\n\n$\\therefore$ Marcus earned \\$514.50 this week\n</div>"}]},{"vars":[{"varval":"Aisha works casually at a garden centre. Her work schedule for the week is shown below.\n\n<div class=\"sm-table row1-color2 heading-color2\">\n\n>>Aisha's Work Schedule\n\n>>| Day | Hours Worked |\n|:-:|:-:|\n| Tuesday | 5.5 hours |\n| Friday | 6.5 hours |\n| Sunday | 8 hours |\n</div>\n\n<br>\n\nAisha earns \\$26.40 per hour on weekdays and \\$39.60 per hour (time and a half) on Sundays.\n\nHow much did Aisha earn in total this week?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Earnings | \\= 5.5 $\\times$ \\$26.40 + 6.5 $\\times$ \\$26.40 + 8 $\\times$ \\$39.60|\n| | = \\$145.20 + \\$171.60 + \\$316.80|\n| | \\= \\$633.60 |\n</div>\n<br>\n\n$\\therefore$ Aisha earned \\$633.60 this week\n</div>"}]}]

Number, NAP 13-2025 - bcf9a5ba-389b-49c8-b8ac-2d673d2eb779 - (November 27, 2025)

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[{"vars":[{"varval":"Today's prices at Garden Fresh Produce are shown below.\n\n<div class=\"sm-table row1-color1 heading-color1\">\n\n>>Garden Fresh Produce\n\n>>| Product | Cost |\n|:-:|:-:|\n| Cherry tomatoes | \\$4.50/punnet |\n| Lebanese cucumber | \\$3.20/kg |\n| Baby spinach | \\$5.00/bag |\n</div>\n<br>\n\nDaniel is making salads for a family lunch.\n\nHe bought 2 punnets of cherry tomatoes, half a kilogram of cucumber and 1 bag of baby spinach.\n\nWhat was his total bill at Garden Fresh Produce?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= 2 $\\times$ \\$4.50 + $\\dfrac{\\$3.20}{2}$ + \\$5.00|\n| | = \\$9.00 + \\$1.60 + \\$5.00|\n| | \\= \\$15.60 |\n</div>\n\n<br>\n\n$\\therefore$ Daniel's total bill was \\$15.60\n</div>"}]},{"vars":[{"varval":"Today's prices at Tony's Hardware are shown below.\n\n<div class=\"sm-table row1-color3 heading-color3\">\n\n>>Tony's Hardware\n\n>>| Product | Cost |\n|:-:|:-:|\n| Paint brushes | \\$8 each |\n| Sandpaper | \\$12/pack |\n| Masking tape | \\$6/roll |\n\n</div>\n\n<br>\n\nMaria is preparing to paint her bedroom.\n\nShe bought 2 paint brushes, 1 pack of sandpaper and 3 rolls of masking tape.\n\nWhat was her total bill at Tony's Hardware?\n"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= 2 $\\times$ \\$8 + \\$12 + 3 $\\times$ \\$6|\n| | = \\$16 + \\$12 + \\$18|\n| | \\= \\$46 |\n</div>\n<br>\n\n$\\therefore$ Maria's total bill was \\$46\n</div>"}]},{"vars":[{"varval":"Today's prices at The Cheese Shop are shown below.\n\n<div class=\"sm-table row1-color5 heading-color5\">\n\n>>The Cheese Shop\n\n>>| Product | Cost |\n|:-:|:-:|\n| Vintage cheddar | \\$28/kg |\n| Blue cheese | \\$42/kg |\n| Camembert | \\$15 each |\n| Crackers | \\$6.50/box |\n</div>\n<br>\n\nSophie is preparing a cheese platter for a dinner party.\n\nShe bought 250 grams of vintage cheddar, half a kilogram of blue cheese, 1 camembert and 2 boxes of crackers.\n\nWhat was her total bill at The Cheese Shop?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= $\\dfrac{\\$28}{4}$ + $\\dfrac{\\$42}{2}$ + \\$15 + 2 $\\times$ \\$6.50|\n| | = \\$7.00 + \\$21.00 + \\$15.00 + \\$13.00|\n| | \\= \\$56.00 |\n</div>\n\n<br>\n\n$\\therefore$ Sophie's total bill was \\$56.00\n</div>"}]},{"vars":[{"varval":"Today's prices at Riverside Nursery are shown below.\n\n<div class=\"sm-table row1-color8 heading-color8\">\n\n>>Riverside Nursery\n\n>>| Product | Cost |\n|:-:|:-:|\n| Herb seedlings | \\$4.80 each |\n| Potting mix | \\$18/bag |\n| Terracotta pots | \\$22/set of 4 |\n| Plant food | \\$16.50/bottle |\n</div>\n\n<br>\n\nAhmed is setting up a herb garden on his balcony.\n\nHe bought 6 herb seedlings, 1 bag of potting mix, one set of terracotta pots and half a bottle of plant food.\n\nWhat was his total bill at Riverside Nursery?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= 6 $\\times$ \\$4.80 + \\$18 + \\$22 + $\\dfrac{\\$16.50}{2}$|\n| | = \\$28.80 + \\$18.00 + \\$22.00 + \\$8.25|\n| | \\= \\$77.05 |\n</div>\n\n<br>\n\n$\\therefore$ Ahmed's total bill was \\$77.05\n</div>"}]}]

Number, NAP 12-2025 - 13179c7f-53dd-4068-9acb-2facebf70289 - (November 27, 2025)

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[{"vars":[{"varval":"Today's prices for selected fruit and vegetables from the farmer's markets are shown below.\n\n<div class=\"sm-table row1-color1 heading-color1\">\n\n>>Newcastle <br> Farmer's Markets\n\n>>| Product | Cost |\n|:-:|:-:|\n| Fuji Apples | \\$6.50/kg |\n| Bananas| \\$4.00/kg |\n| Broccoli| $6.80/kg |\n| Potatoes | \\$3.50/kg |\n| Strawberries| \\$5.00/punnet |\n\n</div>\n<br>\n\nFreddy bought 2 punnets of strawberries, 1 kilogram of potatoes and half a kilogram of broccoli.\n\nWhat was his total bill at the farmers markets?\n"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= 2 $\\times$ \\$5 + \\$3.50 + $\\dfrac{\\$6.80}{2}$|\n| | = \\$13.50 + \\$3.40|\n| | \\= {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Freddy's total bill was {{{correctAnswer}}}\n\n</div>\n"}]},{"vars":[{"varval":"Today's prices for meat from the butchers are shown below.\n\n<div class=\"sm-table row1-color3 heading-color3\">\n\n>>Bob's Butchery\n\n>>| Product | Cost |\n|:-:|:-:|\n| Sausages | \\$8/kg |\n| Beef mince| \\$12/kg |\n| Rump steak| $25/kg |\n| Pork chops | \\$15/kg |\n| Chicken breast| \\$13/kg |\n\n</div>\n<br>\n\nMisha was providing the meat for a BBQ with friends. \n\nShe bought 2 kg of sausages, 1 kg of beef mince, half a kg of chicken breast and half a kg of pork chops.\n\nWhat was her total bill at the butchers?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= 2 $\\times$ \\$8 + \\$12 + $\\dfrac{\\$13}{2}$ + $\\dfrac{\\$15}{2}$|\n| | = \\$16 + \\$12 + \\$6.50 + \\$7.50|\n| | = \\$28 + \\$14 |\n| | \\= {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Misha's total bill was {{{correctAnswer}}}\n\n</div>\n"}]},{"vars":[{"varval":"Today's market prices from Steve's Seafood are shown below.\n\n<div class=\"sm-table row1-color5 heading-color5\">\n\n>>Steve's Seafood\n\n>>| Product | Cost |\n|:-:|:-:|\n| Lobster tails| \\$30 each |\n| Tiger Prawns| \\$38/kg |\n| Oysters| \\$25/dozen|\n\n</div>\n<br>\n\nBronwyn is cooking dinner for her friends and is serving seafood. \n\nShe bought 3 lobster tails, 1 kg of prawns and half a dozen oysters.\n\nWhat was her total bill at Steve's Seafood?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= 3 $\\times$ \\$30 + \\$38 + $\\dfrac{\\$25}{2}$|\n| | = \\$90 + \\$38 + \\$12.50|\n| | \\= {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Bronwyn's total bill was {{{correctAnswer}}}\n\n</div>\n"}]},{"vars":[{"varval":"The prices from Carol's Coffee Cart are shown below.\n\n<div class=\"sm-table row1-color8 heading-color8\">\n\n>>Carol's Coffee Cart\n\n>>| Product | Cost |\n|:-:|:-:|\n| Cappuccino - Large | \\$6 each |\n| Cappuccino - Medium| \\$5 each|\n| Cappuccino - Small| \\$4 each|\n| Iced donuts| \\$3.20 each|\n| Banana bread | \\$4.50 slice|\n\n</div>\n<br>\n\nJacques is doing a morning tea run for his office buddies. \n\nHe ordered 2 large, 1 medium and 1 small cappuccino's, 2 iced donuts and a slice of banana bread.\n\nWhat was his total morning tea bill?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------- | ---------------------- |\n|Total Bill | \\= 2 $\\times$ \\$6 + \\$5 + \\$4 + 2 $\\times$ \\$3.20 + \\$4.50 |\n| | = \\$21 + \\$6.40 + \\$4.50|\n| | \\= {{{correctAnswer}}} |\n</div>\n\n<br>\n\n$\\therefore$ Jacques' total bill was {{{correctAnswer}}}\n\n</div>\n"}]}]

Number, NAP 11-2025 - 96807dd9-c521-4fbd-8e7c-26b93f327d13 - (November 26, 2025)

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[{"vars":[{"varval":"Alliya paid $2 each for promotional pens for her tutoring business.\n\nIf she paid $340 in total, how many pens did she buy?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Number purchased\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = $\\dfrac{340}{2}$ |\n> > | = {{{correctAnswer}}} pens| \n</div>\n</div>"}]},{"vars":[{"varval":"Matteo paid $5 each for soccer trophies for the end of season presentation.\n\nIf he paid $285 in total, how many trophies did he purchase?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Number purchased\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = $\\dfrac{285}{5}$ |\n> > | = {{{correctAnswer}}} trophies| \n</div>\n</div>"}]},{"vars":[{"varval":"Karl was catering for a party and paid $4 each for pastries.\n\nIf he paid $224 in total, how many pastries did he purchase?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Number purchased\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = $\\dfrac{224}{4}$ |\n> > | = {{{correctAnswer}}} pastries| \n</div>\n</div>"}]},{"vars":[{"varval":"Elena was buying goldfish for the aquarium in her office. \n\nShe spent $183 in total on the goldfish and they cost $3 each.\n\nHow many goldfish did she purchase?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Number purchased\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = $\\dfrac{183}{3}$ |\n> > | = {{{correctAnswer}}} goldfish| \n</div>\n</div>"}]}]

Number, NAP 10-2025 - 03705e6f-6b01-49ec-ab51-e2b55a88de3f - (November 26, 2025)

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[{"vars":[{"varval":"Lacey bought 3 metres of metallic ribbon at $12 per metre.\n\nHow much change did she receive from a $50 note?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Change\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$50 - 3 $\\times$ \\$12 |\n> > | = \\$50 - \\$36 |\n> > | = {{{correctAnswer}}} |\n</div>\n</div>"}]},{"vars":[{"varval":"Jocasta bought 7 kilograms of potatoes at $6 per kilogram.\n\nHow much change did she receive from a $50 note?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Change\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$50 - 7 $\\times$ \\$6 |\n> > | = \\$50 - \\$42 |\n> > | = {{{correctAnswer}}} |\n</div>\n</div>"}]},{"vars":[{"varval":"Karim bought 4 dozen cinnamon scrolls at $8 per dozen.\n\nHow much change did he receive from a $100 note?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Change\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$100 - 4 $\\times$ \\$8 |\n> > | = \\$100 - \\$32 |\n> > | = {{{correctAnswer}}} |\n</div>\n</div>"}]},{"vars":[{"varval":"Noor bought 6 boxes of chocolates at $14 per box.\n\nHow much change did she receive from a $100 note?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Change\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = \\$100 - 6 $\\times$ \\$14 |\n> > | = \\$100 - \\$84 |\n> > | = {{{correctAnswer}}} |\n</div>\n</div>"}]}]

Number, NAP 09-2025 - 06d1d2e7-721f-4cad-9f19-fd8655269165 - (November 26, 2025)

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[{"vars":[{"varval":"Stuart buys a cupcake from the bakery.\n\nThe cupcake costs $2.65.\n\nHow much change will he receive from a $5 note?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = \\$5 - \\$2.65 |\n| | = \\$3 - \\$0.65 |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"James buys a works burger from the cafe.\n\nThe works burger costs $13.70.\n\nHow much change will he receive from a $20 note?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = \\$20 - \\$13.70 |\n| | = \\$7 - \\$0.70 |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"Anne-Marie buys a large skim milk latte from the coffee shop.\n\nThe skim milk latte costs $6.85.\n\nHow much change will she receive from a $20 note?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = \\$20 - \\$6.85 |\n| | = \\$14 - \\$0.85 |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"Georgio bought a new fishing rod for $34.35.\n\nHow much change will he receive from a $50 note?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = \\$50 - \\$34.35 |\n| | = \\$16 - \\$0.35 |\n| | = {{correctAnswer}} |\n\n</div>"}]}]

Number, NAP 08-2025 - c6a9cfd9-309d-41b0-97a8-8d93b9bfabf2 - (November 26, 2025)

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[{"vars":[{"varval":"A pet shop sells small goldfish at $2.60 each or 4 for $10.\n\nWhat is the lowest cost for 10 small goldfish?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Lowest price for 10 goldfish\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 2 $\\times$ \\$10 + 2 $\\times$ \\$2.40 |\n> > | = \\$20 + \\$4.80 |\n> > | = $24.80 |\n</div>\n</div>"}]},{"vars":[{"varval":"A bakery sells bread rolls at $0.80 each or 6 for $4.\n\nWhat is the lowest cost for 15 bread rolls?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Lowest price for 15 bread rolls\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 2 $\\times$ \\$4 + 3 $\\times$ \\$0.80 |\n> > | = \\$8 + \\$2.40 |\n> > | = $10.40 |\n</div>\n</div>"}]},{"vars":[{"varval":"A fruit shop sells beans at $6.50 per kilogram or 2 kilograms for $10.\n\nWhat is the lowest cost for 5 kilograms of beans?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Lowest price for 5 kilograms of beans\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 2 $\\times$ \\$10 + 1 $\\times$ \\$6.50 |\n> > | = \\$20 + \\$6.50 |\n> > | = \\$26.50 |\n</div>\n</div>"}]},{"vars":[{"varval":"Packets of seeds at the native plant nursery cost $1.80 each or 3 for $5.\n\nWhat is the lowest cost for 8 packets of seeds?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Lowest price for 8 packets of seeds\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 2 $\\times$ \\$5 + 2 $\\times$ \\$1.80 |\n> > | = \\$10 + \\$3.60 |\n> > | = \\$13.60 |\n</div>\n</div>"}]}]

Number, NAP 07-2025 - 3cf70ca5-81a4-44d1-9e72-625c361fc956 - (November 25, 2025)

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[{"vars":[{"varval":"A meat pie at the local bakery costs $3.50.\n\nWhat is the cost of 4 pies?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost of 4 pies\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 4 $\\times$ \\$3.50 |\n> > | = 4 $\\times$ \\$3 + 4 $\\times$ 50 cents |\n> > | = $12 + $2 = $14 |\n</div>\n</div>"}]},{"vars":[{"varval":"Entry into the local pool costs $2.20 per person.\n\nWhat is the cost of entry for 5 people?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost for 5 people\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 5 $\\times$ \\$2.20 |\n> > | = 5 $\\times$ \\$2 + 5 $\\times$ 20 cents |\n> > | = $10 + $1 = $11 |\n</div>\n</div>"}]},{"vars":[{"varval":"A six pack of chicken nuggets costs $4.40.\n\nWhat is the cost 4 six packs of nuggets?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost for 4 six packs of nuggets\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 4 $\\times$ \\$4.40 |\n> > | = 4 $\\times$ \\$4 + 4 $\\times$ 40 cents |\n> > | = $16 + $1.60 = $17.60 |\n</div>\n</div>"}]},{"vars":[{"varval":"Sue is selling gingerbread Christmas cookies for $2.30 each.\n\nWhat is the cost of 8 gingerbread Christmas cookies?"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Cost for 8 cookies\n\n<div class=\"aligned\">\n\n> > | |\n> > | ------------------------------------------- |\n> > | = 8 $\\times$ \\$2.30 |\n> > | = 8 $\\times$ \\$2 + 8 $\\times$ 30 cents |\n> > | = $16 + $2.40 = $18.40 |\n</div>\n</div>"}]}]

Number, NAP 06-2025 - b3738bf5-d6ce-46e4-bf59-8dd69f99847f - (November 25, 2025)

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[{"vars":[{"varval":"Bessie buys a pair of shorts for $45. She gives the cashier a $100 note and receives 4 notes as change.\n\nWhich of the notes is **not** in Bessie's change?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = $100 - $45 |\n| | = $55|\n|Notes received: |$20, $20, $10, $5|\n\n</div>\n<br>\n\n$\\therefore$ The {{{correctAnswer}}} note is not included."}]},{"vars":[{"varval":"Eli buys a fishing rod for $25. He gives the cashier a $100 note and receives 3 notes as change.\n\nWhich of the notes is **not** in Eli's change?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = $100 - $25 |\n| | = $75|\n|Notes received: |$50, $20, $5|\n\n</div>\n<br>\n\n$\\therefore$ The {{{correctAnswer}}} note is not included."}]},{"vars":[{"varval":"Josh buys a camping chair for $65. He gives the cashier a $100 note and receives 4 notes as change.\n\nWhich two of the notes are **not** in Josh's change?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = $100 - $65 |\n| | = $35|\n|Notes received: |$20, $5, $5, $5|\n\n</div>\n<br>\n\n$\\therefore$ The {{{correctAnswer}}} notes is are not included."}]},{"vars":[{"varval":"Misha buys a beach cabana for $175. He gives the cashier two $100 notes and receives 3 notes as change.\n\nWhich two of the notes are **not** in Misha's change?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = $200 - $175 |\n| | = $25|\n|Notes received: |$10, $10, $5|\n\n</div>\n<br>\n\n$\\therefore$ The {{{correctAnswer}}} notes is are not included."}]}]

Number, NAP 05-2025 - 929439fc-67c9-49e0-91a6-5aaf07f4a4c5 - (November 25, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Fresh ricotta cheese costs $29.90 per kilogram.\n\nJill bought 500 grams of the cheese.\n\nAbout how much will she have to pay?"},{"varval":"500 grams is half a kilogram.\n\n$29.90 is almost $30.\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| She will pay about | = $\\dfrac{\\$30}{2}$ |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"Rindless bacon costs $19.95 per kilogram.\n\nJosephine bought 250 grams of the bacon.\n\nAbout how much did she have to pay?"},{"varval":"250 grams is quarter of a kilogram.\n\n$19.95 is almost $20.\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| She will pay about | = $\\dfrac{\\$20}{4}$ |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"Grapes cost $15.95 per kilogram.\n\nJosephine bought 500 grams of the grapes.\n\nAbout how much did she have to pay?"},{"varval":"500 grams is half a kilogram.\n\n$15.95 is almost $16.\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| She will pay about | = $\\dfrac{\\$16}{2}$ |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"Apples costs $7.95 per kilogram.\n\nBree bought 250 grams of apples\n\nAbout how much did she have to pay?"},{"varval":"250 grams is a quarter of a kilogram.\n\n$7.95 is almost $8.\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| She will pay about | = $\\dfrac{\\$8}{4}$ |\n| | = {{correctAnswer}} |\n\n</div>"}]}]

Number, NAP 04-2025 - df0a3be1-86c7-4a1d-a350-79320a7e8d13 - (November 25, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Joel has $24.50 and wants to buy some new shin pads for soccer. The shin pads cost $30.\n\nHow much more money does he need?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Extra money | = $30 - $24.50 |\n| | = $30 - $24 - 50 cents |\n| | = $6 - 50 cents |\n| | = {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Duke has $12.05 and wants to buy a snack pack of chicken for lunch. The snack pack is priced at $15.\n\nHow much more money does he need?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Extra money | = $15 - $12.05 |\n| | = $15 - $12 - 5 cents |\n| | = $3 - 5 cents |\n| | = {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Alex has $16.45 and wants to buy a gift card for his brother's birthday. The gift card value is $20.\n\nHow much more money does he need?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Extra money | = $20 - $16.45 |\n| | = $20 - $16 - 45 cents |\n| | = $4 - 45 cents |\n| | = {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Cameron has $18.35 and wants to buy some new swimming goggles. The swimming goggles cost $24.\n\nHow much more money does he need?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Extra money | = $24 - $18.35 |\n| | = $24 - $18 - 35 cents |\n| | = $6 - 65 cents |\n| | = {{{correctAnswer}}} |\n\n</div>"}]}]

Number, NAP 03-2025 - 594bf84c-2ca8-4170-8fb5-880da07bef02 - (November 25, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A kilogram of grapes is priced at $6.90 per kilogram.\n\nIf Julie bought 5 kilograms, about how much would she spend?"},{"varval":"$6.90 is approximately equal to $7\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Estimated cost | = 5 $\\times$ 7 |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"A kilogram of honey is priced at $10.90 per kilogram.\n\nIf Brendan bought 5 kilograms, about how much would he spend?"},{"varval":"$10.90 is approximately equal to $11\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Estimated cost | = 5 $\\times$ 11 |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"The hire charge for a stall at the local market costs $29.95 per stall.\n\nIf Marg hired 3 stalls, about how much would she pay?"},{"varval":"$29.95 is approximately equal to $30\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Estimated cost | = 3 $\\times$ 30 |\n| | = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"The cost of a works burger at the local takeaway is $16.95.\n\nIf Jett bought 4 works burgers, about how much would he pay?"},{"varval":"$16.95 is approximately equal to $17\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Estimated cost | = 4 $\\times$ 17 |\n| | = {{correctAnswer}} |\n\n</div>"}]}]

Number, NAP 01-2025 - d6bf5f5b-339a-4f96-a106-1411e64313a4 - (November 25, 2025)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A bag contains 6 onions and costs $4.\n\nWhat is the most number of onions that can be bought for $20?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of bags | = $\\dfrac{20}{4}$ |\n| | = 5 |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of onions | = 5 $\\times$ 6 |\n| |= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A bag contains 9 apples and costs $10.\n\nWhat is the most number of apples that can be bought for $30?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of bags | = $\\dfrac{30}{10}$ |\n| | = 3 |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of apples | = 3 $\\times$ 9 |\n| | = {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A bag contains 3 kilograms of grapes and costs $5.\n\nWhat is the most number of kilograms of grapes that can be bought for $45?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of bags | = $\\dfrac{45}{5}$ |\n| | = 9 |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of kilograms | = 9 $\\times$ 3 |\n| | = {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A box contains 25 oranges and costs $12.\n\nWhat is the most oranges that can be bought for $48?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of boxes | = $\\dfrac{48}{12}$ |\n| | = 4 |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Number of oranges | = 4 $\\times$ 20 |\n| | = {{{correctAnswer}}} |\n\n</div>"}]}]

Algebra, NAP_40475 - e91b6f1c-10eb-4aa3-ad07-48c4cbe13b33 - (August 29, 2023)

Algebra, NAPX-I3-CA27 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Claude is going on a fishing trip.\n\n\nHe wants to purchase fishing lures before the trip, which are sold in boxes of a dozen lures.\n\n\nThe more boxes of lures that Claude buys, the less it costs per box, as shown in the table below.\n\n<div class=\"sm-table row1-color5 heading-color5\">\n\n>>Fishing lure pricing\n\n>>| Number of boxes | Total Cost |\n|:-:|:-:|\n| 1 | $18.00 |\n| 2 | $35.50 |\n| 3 | $52.50 |\n|4|$69.00|\n\n</div>\n\n<br>If this price pattern continues, how much will it cost for 6 boxes of lures?\n"},{"varval":"Additional boxes reduce in cost by 50 cents.\n\n⇒ 4th box costs an extra $16.50\n\n⇒ 5th box costs an extra $16.00\n\n⇒ 6th box costs an extra $15.50\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| $\\therefore$ Total cost of 6 boxes | \\= $69.00+16.00+15.50$ |\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Tiffany has a market stall where she sells crystals.\n\n\nShe wants to purchase crystals from a wholesaler, which are sold in boxes of five crystals.\n\n\nThe more boxes of crystals that Tiffany buys, the less it costs per box, as shown in the table below.\n\n<div class=\"sm-table row1-color3 heading-color3\">\n\n>>Crystal pricing\n\n>>| Number of boxes | Total Cost |\n|:-:|:-:|\n| 1 | $7.50 |\n| 2 | $14.50 |\n| 3 | $21.00 |\n|4|$27.00|\n\n</div>\n\n<br>If this price pattern continues, how much will it cost for 7 boxes of crystals?\n"},{"varval":"Additional boxes reduce in cost by 50 cents.\n\n⇒ 4th box costs an extra $6.00\n\n⇒ 5th box costs an extra $5.50\n\n⇒ 6th box costs an extra $5.00\n\n⇒ 7th box costs an extra $4.50\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| $\\therefore$ Total cost of 7 boxes | \\= $27.00+5.50+5.00+4.50$ |\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Boyd is running an art class for beginners.\n\n\nHe wants to purchase pencils for his students, which are sold in boxes of 24 pencils.\n\n\nThe more boxes of pencils that Boyd buys, the less it costs per box, as shown in the table below.\n\n<div class=\"sm-table row1-color2 heading-color2\">\n\n>>Pencil pricing\n\n>>| Number of boxes | Total Cost |\n|:-:|:-:|\n| 1 | $15.20 |\n| 2 | $29.60 |\n| 3 | $43.20 |\n|4|$56.00|\n\n</div>\n\n<br>If this price pattern continues, how much will it cost for 6 boxes of pencils?\n"},{"varval":"Additional boxes reduce in cost by 80 cents.\n\n⇒ 4th box costs an extra $12.80\n\n⇒ 5th box costs an extra $12.00\n\n⇒ 6th box costs an extra $11.20\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| $\\therefore$ Total cost of 6 boxes | \\= $56.00+12.00+11.20$ |\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Indira is purchasing Economics textbooks.\n\n\nThe more textbooks that Indira buys, the less it costs per textbook, as shown in the table below.\n\n<div class=\"sm-table row1-color4 heading-color4\">\n\n>>Textbook pricing\n\n>>| Number of books | Total Cost |\n|:-:|:-:|\n| 1 | $75.50 |\n| 2 | $147.50 |\n| 3 | $217.50 |\n|4|$285.00|\n\n</div>\n\n<br>If this price pattern continues, how much will it cost for 7 Economics textbooks?\n"},{"varval":"Additional textbooks reduce in cost by $2.50.\n\n⇒ 4th book costs an extra $67.50\n\n⇒ 5th book costs an extra $65.00\n\n⇒ 6th book costs an extra $62.50\n\n⇒ 7th book costs an extra $60.00\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| $\\therefore$ Total cost of 7 textbooks | \\= $285.00+65.00+62.50+60.00$ |\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Jett is a builder.\n\n\nHe wants to purchase flat head nails for his latest construction job, which are sold in boxes of a fifty nails.\n\n\nThe more boxes of nails that Jett buys, the less it costs per box, as shown in the table below.\n\n<div class=\"sm-table row1-color1 heading-color1\">\n\n>>Nail pricing\n\n>>| Number of boxes | Total Cost |\n|:-:|:-:|\n| 1 | $27.35 |\n| 2 | $54.50 |\n| 3 | $81.45 |\n|4|$108.20|\n\n</div>\n\n<br>If this price pattern continues, how much will it cost for 6 boxes of flat head nails?\n"},{"varval":"Additional boxes reduce in cost by 20 cents.\n\n⇒ 4th box costs an extra $26.75\n\n⇒ 5th box costs an extra $26.55\n\n⇒ 6th box costs an extra $26.35\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| $\\therefore$ Total cost of 7 boxes | \\= $108.20+26.55+26.35$ |\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\n\n</div>\n"}]}]

Algebra, NAP_30375 - baf3af79-0aac-4f8c-bc77-e7b046fe2017 - (August 29, 2023)

Algebra, NAPX-G4-NC25 SA - Same but with decimals in the table and fractions in the question

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table below shows the relationship between the width of a tree's trunk in centimetres and how old it is in months.\n\n<br>\n\n<div class=\"sm-table col1-color1\">\n\n>>| Age in months |12|15|18|21|24|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Width of trunk (cm) | 6.375|6.5|6.625|6.75|6.875|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a tree with a 7$\\frac{1}{4}$ cm wide trunk to be?"},{"varval":"Continuing the pattern adding 0.125:\n\n<div class=\"sm-table col1-color1\">\n\n>>| Age in months | 24|27|30|33|\n|:-:|:-:|:-:|:-:|:-:|\n| Width of trunk (cm) | 6.875|7|7.125|7.25|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the length of a skink in centimetres and how old it is in months.\n\n<br>\n\n<div class=\"sm-table col1-color2\">\n\n>>| Age in months | 4|6|8|10|12|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 8.375|88.5|8.625|8.75|8.875|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a 9$\\frac{3}{8}$ cm skink to be?"},{"varval":"Continuing the pattern adding 0.125:\n\n<div class=\"sm-table col1-color2\">\n\n>>| Age in months | 12|14|16|18|20|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 8.875|9|9.125|9.250|9.375|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the length of an axolotl in centimetres and how old it is in months.\n\n<br>\n\n<div class=\"sm-table col1-color3\">\n\n>>| Age in months | 7|10|13|16|19|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 2.7|2.9|3.1|3.3|3.5|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a 4$\\frac{3}{10}$ cm axolotl to be?"},{"varval":"Continuing the pattern adding 0.2:\n\n<div class=\"sm-table col1-color3\">\n\n>>| Age in months | 19|22|25|28|31|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 3.5|3.7|3.9|4.1|4.3|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the weight of a squirrel in grams and how old it is in days.\n\n<br>\n\n<div class=\"sm-table col1-color4\">\n\n>>| Age in days| 2|4|6|8|10|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Weight in grams (g) | 15.8|16.1|16.4|16.7|17|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a squirrel with a weight of 18$\\frac{1}{5}$ g to be?"},{"varval":"Continuing the pattern adding 0.3:\n\n<div class=\"sm-table col1-color4\">\n\n>>| Age in days| 10|12|14|16|18|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Weight in grams (g) | 17|17.3|17.6|17.9|18.2|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the height of a mushroom in millimetres and how old it is in days.\n\n<br>\n\n<div class=\"sm-table col1-color5\">\n\n>>| Age in days| 20|24|28|32|36|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Height of mushroom (mm) | 30.125|30.5|30.875|31.25|31.625|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a mushroom with a height of 32$\\frac{3}{4}$ mm to be?"},{"varval":"Continuing the pattern adding 0.375:\n\n<div class=\"sm-table col1-color5\">\n\n>>| Age in days| 36|40|44|48|\n|:-:|:-:|:-:|:-:|:-:|\n| Height of mushroom (mm)| 31.625| 32|32.375|32.75|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]}]

Algebra, NAP_20675 - 04357244-2099-4d5a-b64b-4209549acd32 - (August 28, 2023)

Algebra, NAPX-p106742v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A Cartesian plane is shown below..\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20275-min.svg 300 indent vpad\n\nWhich statement is true?"},{"varval":"Points on the $\\large y$-axis : $\\large x$ = 0\n\nPoints below the $\\large x$-axis : $\\large y$ < 0\n\n$\\therefore$ {{{correctAnswer}}} is correct."}]},{"vars":[{"varval":"A Cartesian plane is shown below..\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20275-min.svg 300 indent vpad\n\nWhich statement is true?"},{"varval":"Points on the left of the $\\large y$-axis : $\\large x$ < 0\n\nPoints below the $\\large x$-axis : $\\large y$ < 0\n\n$\\therefore$ {{{correctAnswer}}} is correct."}]},{"vars":[{"varval":"A Cartesian plane is shown below..\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20275-min.svg 300 indent vpad\n\nWhich statement is true?"},{"varval":"Points to the right of the $\\large y$-axis : $\\large x$ > 0\n\nPoints below the $\\large x$-axis : $\\large y$ < 0\n\n$\\therefore$ {{{correctAnswer}}} is correct."}]},{"vars":[{"varval":"A Cartesian plane is shown below..\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20275-min.svg 300 indent vpad\n\nWhich statement is true?"},{"varval":"Points to the right of the $\\large y$-axis : $\\large x$ > 0\n\nPoints above the $\\large x$-axis : $\\large y$ > 0\n\n$\\therefore$ {{{correctAnswer}}} is correct."}]},{"vars":[{"varval":"A Cartesian plane is shown below..\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20275-min.svg 300 indent vpad\n\nWhich statement is true?"},{"varval":"Points to the left of the $\\large y$-axis : $\\large x$ < 0\n\nPoints above the $\\large x$-axis : $\\large y$ > 0\n\n$\\therefore$ {{{correctAnswer}}} is correct."}]},{"vars":[{"varval":"A Cartesian plane is shown below..\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20275-min.svg 300 indent vpad\n\nWhich statement is true?"},{"varval":"Points to the right of the $\\large y$-axis : $\\large x$ > 0\n\nPoints on the $\\large x$-axis : $\\large y$ = 0\n\n$\\therefore$ {{{correctAnswer}}} is correct."}]}]

Algebra, NAP_22045 - d2224e70-260f-4639-aa79-20d69924e797 - (August 28, 2023)

Algebra, NAPX-E4-CA23 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Vlad uses the formula below to estimate the population of wombats in Kosciuszko National Park over a three year period.\n\n>Year 1 = 900\n\n<br>\n\n>Year 2 = Year 1 + $\\dfrac{ \\text{Year 1}}{30}$\n\n<br>\n\n>Year 3 = Year 2 + $\\dfrac{ \\text{Year 2}}{30}$\n\n<br>\n\nEstimate the population of wombats in Kosciuszko National Park in Year 3?"},{"varval":"Year 1 = 900\n\nYear 2 = 900 + $\\dfrac{900}{30}$ = 930\n\nYear 3 = 930 + $\\dfrac{930}{30}$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Morgan uses the formula below to estimate the population of Tasmanian devils in a breeding program over a three year period.\n\n>Year 1 = 300\n\n<br>\n\n>Year 2 = Year 1 + $\\dfrac{ \\text{Year 1}}{10}$\n\n<br>\n\n>Year 3 = Year 2 + $\\dfrac{ \\text{Year 2}}{10}$\n\n<br>\n\nEstimate the population of Tasmanian devils in Year 3?"},{"varval":"Year 1 = 300\n\nYear 2 = 300 + $\\dfrac{300}{10}$ = 330\n\nYear 3 = 330 + $\\dfrac{330}{10}$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Kurt uses the formula below to estimate the population of humpback whales in the Eastern migration over a three year period.\n\n>Year 1 = 40 000\n\n<br>\n\n>Year 2 = Year 1 + $\\dfrac{ \\text{Year 1}}{40}$\n\n<br>\n\n>Year 3 = Year 2 + $\\dfrac{ \\text{Year 2}}{40}$\n\n<br>\n\nEstimate the population of humpback whales in Year 3?"},{"varval":"Year 1 = 40000\n\nYear 2 = 40000 + $\\dfrac{40000}{40}$ = 41000\n\nYear 3 = 41000 + $\\dfrac{41000}{40}$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Bianca uses the formula below to estimate the population of female sea turtles on the Caribbean coast over a three year period.\n\n>Year 1 = 30000\n\n<br>\n\n>Year 2 = Year 1 + $\\dfrac{ \\text{Year 1}}{30}$\n\n<br>\n\n>Year 3 = Year 2 + $\\dfrac{ \\text{Year 2}}{30}$\n\n<br>\n\nEstimate the population of female sea turtles in Year 3?"},{"varval":"Year 1 = 30000\n\nYear 2 = 30000 + $\\dfrac{30000}{20}$ = 31500\n\nYear 3 = 31500 + $\\dfrac{31500}{20}$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Gina uses the formula below to estimate the population of fairy penguins on Phillip Island over a three year period.\n\n>Year 1 = 32000\n\n<br>\n\n>Year 2 = Year 1 + $\\dfrac{ \\text{Year 1}}{16}$\n\n<br>\n\n>Year 3 = Year 2 + $\\dfrac{ \\text{Year 2}}{16}$\n\n<br>\n\nEstimate the population of fairy penguins in Year 3?"},{"varval":"Year 1 = 32000\n\nYear 2 = 32000 + $\\dfrac{32000}{16}$ = 34000\n\nYear 3 = 34000 + $\\dfrac{34000}{16}$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Skippy uses the formula below to estimate the population of kangaroos in New South Wales over a three year period.\n\n>Year 1 = 11.8 million\n\n<br>\n\n>Year 2 = Year 1 + $\\dfrac{ \\text{Year 1}}{10}$\n\n<br>\n\n>Year 3 = Year 2 + $\\dfrac{ \\text{Year 2}}{10}$\n\n<br>\n\nEstimate the population of kangaroos in New South Wales in Year 3?"},{"varval":"Year 1 = 11 800 000\n\nYear 2 = 11 800 000 + $\\dfrac{11 800 000}{10}$ = 12980000\n\nYear 3 = 12 980 000 + $\\dfrac{12 980 000}{10}$ = {{{correctAnswer0}}}"}]}]

Algebra, NAP_23401 - f225f3f2-94ce-49a8-b40b-9f91b8c852a7 - (August 22, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Iggy used this rule to make a number pattern.\n\n* Start with 2.\n\n* To get to the next number, multiply by 2 then add 3.\n\nWhat is the sum of the first three numbers in Iggy's pattern?"},{"varval":"First write down the pattern:\n\n<div class=\"aligned\">\n\n>>| | | |\n| ----------------: | ---------------------- |--------- |\n| First number | \\= 2 ||\n| Second number | \\= 2 $\\times$ 2 + 3| \\= 7 |\n| Third number|\\= 2 $\\times$ 7 + 3| \\= 17 |\n\n</div>\n\n<br>Then find the sum of the numbers\n\n<div class=\"aligned\">\n\n>>| | | \n| ----------------: | ---------------------- |\n| Sum of first 3 terms | \\= 2 + 7 + 17 = {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Ellie used this rule to make a number pattern.\n\n* Start with 4.\n\n* To get to the next number, multiply by 3 then takeaway 1.\n\nWhat is the sum of the first three numbers in Ellie's pattern?"},{"varval":"First write down the pattern:\n\n<div class=\"aligned\">\n\n>>| | | |\n| ----------------: | ---------------------- |--------- |\n| First number | \\= 4 ||\n| Second number | \\= 3 $\\times$ 4 $-$ 1| \\= 11 |\n| Third number|\\= 3 $\\times$ 11 $-$ 1| \\= 32 |\n\n</div>\n\n<br>Then find the sum of the numbers\n\n<div class=\"aligned\">\n\n>>| | | \n| ----------------: | ---------------------- |\n| Sum of first 3 terms | \\= 4 + 11 + 32 = {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Boss used this rule to make a number pattern.\n\n* Start with 10.\n\n* To get to the next number, multiply by 4 then add 5.\n\nWhat is the sum of the first three numbers in Boss's pattern?"},{"varval":"First write down the pattern:\n\n<div class=\"aligned\">\n\n>>| | | |\n| ----------------: | ---------------------- |--------- |\n| First number | \\= 10 ||\n| Second number | \\= 4 $\\times$ 10 + 5| \\= 45 |\n| Third number|\\= 4 $\\times$ 45 + 5| \\= 185 |\n\n</div>\n\n<br>Then find the sum of the numbers\n\n<div class=\"aligned\">\n\n>>| | | \n| ----------------: | ---------------------- |\n| Sum of first 3 terms | \\= 10 + 45 + 185 = {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Jaydah used this rule to make a number pattern.\n\n* Start with 7.\n\n* To get to the next number, multiply by 5 then takeaway 3.\n\nWhat is the sum of the first three numbers in Jaydah's pattern?"},{"varval":"First write down the pattern:\n\n<div class=\"aligned\">\n\n>>| | | |\n| ----------------: | ---------------------- |--------- |\n| First number | \\= 7 ||\n| Second number | \\= 5 $\\times$ 7 $-$ 3| \\= 32 |\n| Third number|\\= 5 $\\times$ 32 $-$ 3| \\= 157 |\n\n</div>\n\n<br>Then find the sum of the numbers\n\n<div class=\"aligned\">\n\n>>| | | \n| ----------------: | ---------------------- |\n| Sum of first 3 terms | \\= 7 + 32 + 157 = {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Joyce used this rule to make a number pattern.\n\n* Start with 12.\n\n* To get to the next number, multiply by 4 then takeaway 8.\n\nWhat is the sum of the first three numbers in Joyce's pattern?"},{"varval":"First write down the pattern:\n\n<div class=\"aligned\">\n\n>>| | | |\n| ----------------: | ---------------------- |--------- |\n| First number | \\= 12 ||\n| Second number | \\= 4 $\\times$ 12 $-$ 8| \\= 40 |\n| Third number|\\= 4 $\\times$ 40 $-$ 8| \\= 152 |\n\n</div>\n\n<br>Then find the sum of the numbers\n\n<div class=\"aligned\">\n\n>>| | | \n| ----------------: | ---------------------- |\n| Sum of first 3 terms | \\= 12 + 40 + 152 = {{{correctAnswer0}}}|\n\n</div>"}]}]

Algebra, NAP_55066 - ad6c984f-95d0-4ca1-bf9a-bdd8cb3efd66 - (August 22, 2023)

Variation: Algebra, NAPX-F4-CA13, NAPX-F3-CA20

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Flame picked a total of 350 kilograms of pumpkins in 5 days.\n\nAfter the first day, she picked 20 more kilograms than the previous day.\n\nHow may kilograms of pumpkins did she pick on the first day?"},{"varval":"Average kilograms per day\n\n>= 350 $\\div$ 5\n\n>= 70\n\n<br>\n\n$\\Rightarrow$ 70 will be midpoint of the 5 kilogram values\n\n\n\n<br>\n\nKilograms each day were:\n\n>30, 50, 70, 90, 110\n\n<br>\n\n$\\therefore$ Kilograms of pumpkins picked on 1st day = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Lenny walked a total of 400 kilometres 5 months.\n\nFor each month after the first month, she walked 30 more kilometres than the previous month.\n\nHow may kilometres did she walk in the first month?"},{"varval":"Average kilometres per month\n\n>= 400 $\\div$ 5\n\n>= 80\n\n<br>\n\n$\\Rightarrow$ 80 will be midpoint of the 5 kilometre values\n\n\n\n<br>\n\nkilometres walked each month were:\n\n>20, 50, 80, 110, 140\n\n<br>\n\n$\\therefore$ Kilometres walked during 1st month = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Ursula did 600 burpees during a 5 day challenge at her gym.\n\nFor each day after the first day, she did 50 more burpees than the previous day.\n\nHow may burpees did she do on the first day of the challenge?"},{"varval":"Average burpees per day\n\n>= 600 $\\div$ 5\n\n>= 120\n\n<br>\n\n$\\Rightarrow$ 120 will be midpoint of the 5 burpee values\n\n\n\n<br>\n\nBurpees each day were:\n\n>20, 70, 120, 170, 220\n\n<br>\n\n$\\therefore$ Number of burpees on 1st day = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Morris ran 400 kilometres during a 5 week challenge at his gym.\n\nFor each week after the first week, he ran 15 more kilometres than he had run the previous week.\n\nHow may kilometres did he run during the second week?"},{"varval":"Average kilometres per week\n\n>= 400 $\\div$ 5\n\n>= 80\n\n<br>\n\n$\\Rightarrow$ 80 will be midpoint of the 5 kilometre values\n\n\n\n<br>\n\nKilometres each week were:\n\n>50, 65, 80, 95, 110\n\n<br>\n\n$\\therefore$ Kilometres run during 2nd week = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Keigan rode 800 kilometres during a 5 week cycling challenge.\n\nFor each week after the first week, he rode 30 more kilometres than he had run the previous week.\n\nHow may kilometres did he ride during the fifth week?"},{"varval":"Average kilometres per week\n\n>= 800 $\\div$ 5\n\n>= 160\n\n<br>\n\n$\\Rightarrow$ 160 will be midpoint of the 5 kilometre values\n\n\n\n<br>\n\nKilometres each week were:\n\n>100, 130, 160, 190, 220\n\n<br>\n\n$\\therefore$ Kilometres run during 5th week = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Kirrily baked a total of 500 cookies in 5 days.\n\nEach day after the first day, she baked 20 more cookies than the previous day.\n\nHow may cookies did she bake on the fourth day?"},{"varval":"Average cookies per day\n\n>= 500 $\\div$ 5\n\n>= 100\n\n<br>\n\n$\\Rightarrow$ 100 will be midpoint of the 5 cookie values\n\n\n\n<br>\n\nCookies each day were:\n\n>60, 80, 100, 120, 140\n\n<br>\n\n$\\therefore$ Cookies baked on 4th day = {{{correctAnswer}}}"}]}]

Algebra, NAP_10095 - f49cbf72-ef8d-4ced-8b45-5100ed1b779d - (August 22, 2023)

Algebra, NAP_10707 with number plane grid

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Autumn is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.\n\nShe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v0q-min.svg 450 indent2 vpad\n\nTwo of the points are ( 3 , 2 ) and ( 8 , 4 ).\n\nWhich of the following is the third point Autumn must connect?\n"},{"varval":"By connecting the points ( 3 , 2 ), **{{correctAnswer}}** and ( 8 , 4 ) we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v0-min.svg 450 indent vpad"}]},{"vars":[{"varval":"Summer is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.\n\nShe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v0q-min.svg 450 indent2 vpad\n\nTwo of the points are ( 4 , 0 ) and ( 9 , 2 ).\n\nWhich of the following is the third point Summer must connect?"},{"varval":"By connecting the points ( 4 , 0 ), **{{correctAnswer}}** and ( 9 , 2 ) we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v1ws-min.svg 450 indent vpad"}]},{"vars":[{"varval":"Winter is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.\n\nShe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v2q.svg 450 indent2 vpad\n\nTwo of the points are ( 3 , 1 ) and ( 7 , 3 ).\n\nWhich of the following is the third point Winter must connect?"},{"varval":"By connecting the points ( 3 , 1 ), **{{correctAnswer}}** and ( 7 , 3 ) we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v2ws.svg 450 indent vpad"}]},{"vars":[{"varval":"April is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.\n\nShe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v2q.svg 450 indent2 vpad\n\n\nTwo of the points are ( 2 , 3 ) and ( 6 , 5 ).\n\nWhich of the following is the third point April must connect?"},{"varval":"By connecting the points ( 2 , 3 ), **{{correctAnswer}}** and ( 6 , 5 ) we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v3ws-min.svg 450 indent vpad"}]},{"vars":[{"varval":"Didier is drawing rectangles on a number plane without crossing the sides of any other rectangles .\n\nHe has 3 more points to join to form another rectangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v4-5q-min.svg 420 indent2 vpad\n\nTwo of the points are ( $-$ 2 , 1 ) and ( 1 , 2 ).\n\nWhich of the following is the third point Didier must connect?"},{"varval":"By connecting the points ( $-$ 2 , 1 ), **{{correctAnswer}}** and ( 1 , 2 ) we obtain another rectangle. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v4ws-min.svg 420 indent vpad"}]},{"vars":[{"varval":"Marley is drawing rectangles on a number plane without crossing the sides of any other rectangles .\n\nShe has 3 more points to join to form another rectangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v4-5q-min.svg 420 indent2 vpad\n\nTwo of the points are ( $-$ 3 , $-$ 2 ) and ( 2 , $-$ 3 ).\n\nWhich of the following is the third point Marley must connect?"},{"varval":"By connecting the points ( $-$ 3 , $-$ 2 ), **{{correctAnswer}}** and ( 2 , $-$ 3 ) we obtain another rectangle. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v5ws-min.svg 420 indent vpad"}]},{"vars":[{"varval":"Bellamy is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.\n\nHe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v6q-min.svg 420 indent2 vpad\n\nTwo of the points are ( $-$ 4 , $-$ 1 ) and ( 2 , 0 ).\n\nWhich of the following is the third point Bellamy must connect?"},{"varval":"By connecting the points ( $-$ 4 , $-$ 1 ), **{{correctAnswer}}** and ( 2 , 0 ) we obtain another parallelogram. \n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v6ws-min.svg 420 indent vpad"}]},{"vars":[{"varval":"Bridgette is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.\n\nShe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v7ws-min.svg 420 indent2 vpad\n\n\nTwo of the points are ( $-$ 4 , $-$ 1 ) and ( $-$ 1 , 4 ).\n\nWhich of the following is the third point Bridgette must connect?"},{"varval":"By connecting the points ( $-$ 4 , $-$ 1 ), **{{correctAnswer}}** and ( $-$ 1 , 4 ) we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v6ws-min.svg 420 indent vpad"}]}]

Algebra, NAP_18018 - a647c8ff-95aa-40b7-b1a4-a8c3bbc221c3 - (August 22, 2023)

Algebra, NAPX-F3-CA18

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ignatius used this rule to make a number pattern.\n\n\n* Start with 1.\n\n\n* To get the next number, multiply by 2 then add 3.\n\n<br>\n\nThe first four numbers in his pattern were 1 , 5 , 13 , 29.\n\n\nWhat was the sixth number in Ignatius' pattern?"},{"varval":"Fifth number\n\n>29 × 2 + 3 = 58 + 3 = 61\n\n<br>\n\n\nSixth number\n\n>61 × 2 + 3 = 122 + 3 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Mo used this rule to make a number pattern.\n\n\n* Start with $-$ 2.\n\n\n* To get the next number, add 3 then multiply the answer by 2.\n\n<br>\n\nThe first four numbers in her pattern were $-$ 2 , 2 , 10 , 26 .\n\n\nWhat was the sixth number in Mo's pattern?"},{"varval":"Fifth number\n\n>(26 + 3) × 2 = 29 × 2 = 58\n\n<br>\n\n\nSixth number\n\n>(58 + 3) × 2 = 61 × 2 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Brock used this rule to make a number pattern.\n\n\n* Start with 6.\n\n\n* To get the next number, multiply by 2 then subtract 5.\n\n<br>\n\nThe first four numbers in his pattern were 6 , 7 , 9 , 13 .\n\n\nWhat was the sixth number in Brock's pattern?"},{"varval":"Fifth number\n\n>13 × 2 $-$ 5 = 26 $-$ 5 = 21\n\n<br>\n\n\nSixth number\n\n>21 × 2 $-$ 5 = 42 $-$ 5 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Jeddah used this rule to make a number pattern.\n\n\n* Start with $-$ 2.\n\n\n* To get the next number, multiply by 2 then add 4.\n\n<br>\n\nThe first four numbers in her pattern were $-$ 2 , 0 , 4 , 12 .\n\n\nWhat was the sixth number in Jeddah's pattern?"},{"varval":"Fifth number\n\n>12 × 2 + 4 = 24 + 4 = 28\n\n<br>\n\n\nSixth number\n\n>28 × 2 + 4 = 56 + 4 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Ted used this rule to make a number pattern.\n\n\n* Start with $-$ 5.\n\n\n* To get the next number, multiply by 2 then add 6.\n\n<br>\n\nThe first four numbers in his pattern were $-$ 5 , $-$ 4 , $-$ 2 , 2 .\n\n\nWhat was the sixth number in Ted's pattern?"},{"varval":"Fifth number\n\n>2 × 2 + 6 = 2 + 6 = 10\n\n<br>\n\n\nSixth number\n\n>10 × 2 + 6 = 20 + 6 = {{{correctAnswer}}}"}]}]

Algebra, NAP_80077 - e65cd497-e625-4c60-a849-ba011ea3bcf2 - (August 21, 2023)

Algebra, NAPX-J4-CA07, NAPX-J3-CA15

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Mia writes the sequence:\n\n\n>>$40,0.4,0.004,0.00004, …$\n\n<br>\nDescribe the rule she uses to write the next number in this sequence.\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| 40 ÷ 100 | \\= 0.4 |\n| 0.4 ÷ 100 | \\= 0.004 |\n| 0.004 ÷ 100 | \\= 0.00004 |\n\n</div>\n\n<br>\n\n$\\therefore$ Rule: {{{correctAnswer}}}"}]},{"vars":[{"varval":"Thomas writes the sequence:\n\n\n>>$18,1.8,0.18,0.018, …$\n\n<br>\nDescribe the rule he uses to write the next number in this sequence."},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| 18 ÷ 10 | \\= 1.8 |\n| 1.8 ÷ 10 | \\= 0.18 |\n| 0.18 ÷ 10 | \\= 0.018 |\n\n</div>\n\n<br>\n\n$\\therefore$ Rule: {{{correctAnswer}}}"}]},{"vars":[{"varval":"Happy writes the sequence:\n\n\n>>$0.0024,0.024,0.24,2.4, …$\n\n<br>\nDescribe the rule he uses to write the next number in this sequence."},{"varval":"<div class=\" aligned\">\n\n| | |\n| ------------: | ---------- |\n| 0.0024 $\\times$ 10 | \\= 0.024 |\n| 0.024 $\\times$ 10 | \\= 0.24 |\n| 0.24 $\\times$ 10 | \\= 2.4 |\n\n</div>\n\n<br>\n\n$\\therefore$ Rule: {{{correctAnswer}}}"}]},{"vars":[{"varval":"Jacques writes the sequence:\n\n\n>>$890,8.9,0.089,0.00089, …$\n\n<br>\nDescribe the rule he uses to write the next number in this sequence."},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| 890 ÷ 100 | \\= 8.9 |\n| 8.9 ÷ 100 | \\= 0.089 |\n| 0.089 ÷ 100 | \\= 0.00089 |\n\n</div>\n\n<br>\n\n$\\therefore$ Rule: {{{correctAnswer}}}"}]},{"vars":[{"varval":"Bernard writes the sequence:\n\n\n>>$0.00202,0.0202,0.202,2.02, …$\n\n<br>\nDescribe the rule he uses to write the next number in this sequence."},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| 0.00202 $\\times$ 10 | \\= 0.0202 |\n| 0.0202 $\\times$ 10 | \\= 0.202 |\n| 0.202 $\\times$ 10 | \\= 2.02 |\n\n</div>\n\n<br>\n\n$\\therefore$ Rule: {{{correctAnswer}}}"}]},{"vars":[{"varval":"Heathcliff writes the sequence:\n\n\n>>$1.01,0.101,0.0101,0.00101, …$\n\n<br>\nDescribe the rule he uses to write the next number in this sequence."},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| 1.01 ÷ 10 | \\= 0.101 |\n| 0.101÷ 10 | \\= 0.0101 |\n| 0.0101 ÷ 10 | \\= 0.00101 |\n\n</div>\n\n<br>\n\n$\\therefore$ Rule: Divide by 10 = Multiply by $\\frac{1}{10}$ = {{{correctAnswer}}}"}]}]

Algebra, NAP_30301 - cf6df751-af68-4847-be21-97c6795ae7a5 - (August 21, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Reba is taking part in a push-up challenge that lasts for 7 days.\n\nOn the first day he completes 22 push-ups. Every day after this he intends to increase the number of push-ups he does by 8.\n\nHow many push-ups will Reba do on the last day of the challenge?"},{"varval":"Strategy 1:\n\nConsider the push-ups Reba completes each day\n\n>Number of push-ups Day 1 = 22\n\n>Number of push-ups Day 2 = 22 + 8 = 30\n\n>Number of push-ups Day 3 = 30 + 8 = 38\n\n>Number of push-ups Day 4 = 38 + 8 = 46\n\n>Number of push-ups Day 5 = 46 + 8 = 54\n\n>Number of push-ups Day 6 = 54 + 8 = 62\n\n>Number of push-ups Day 7 = 62 + 8 = {{{correctAnswer}}}\n\n<br>Therefore, Reba completed {{{correctAnswer}}} push-ups on the seventh day.\n\nStrategy 2: (Advanced)\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Push-ups | = 22 + 8 $\\times$ (day number - 1) |\n| | = 22 + 8 $\\times$ (7 $-$ 1) |\n| | = 22 + 8 $\\times$ 6 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n<br>Therefore, Reba completed {{{correctAnswer}}} push-ups on the seventh day.\n\n\n\n\n\n"}]},{"vars":[{"varval":"Huxley is taking part in a running challenge that lasts for 8 weeks.\n\nDuring the first week he runs a total of 30 kilometres. Every week after that he intends to increase the number of kilometres he runs by 4.\n\nHow many kilometres will Huxley run on the last day of the challenge?"},{"varval":"Strategy 1:\n\nConsider the kilometres Huxley completes each week\n\n>Number of kilometres week 1 = 30\n\n>Number of kilometres week 2 = 30 + 4 = 34\n\n>Number of kilometres week 3 = 34 + 4 = 38\n\n>Number of kilometres week 4 = 38 + 4 = 42\n\n>Number of kilometres week 5 = 42 + 4 = 46\n\n>Number of kilometres week 6 = 46 + 4 = 50\n\n>Number of kilometres week 7 = 50 + 4 = 54\n\n>Number of kilometres week 8 = 54 + 4 = {{{correctAnswer}}}\n\n<br>Therefore, Huxley completed {{{correctAnswer}}} kilometres during the 8th week.\n\nStrategy 2: (Advanced)\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Kilometres | = 30 + 4 $\\times$ (week number - 1) |\n| | = 30 + 4 $\\times$ (8 $-$ 1) |\n| | = 30 + 4 $\\times$ 7 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n<br>Therefore, Huxley completed {{{correctAnswer}}} kilometres during the 8th week."}]},{"vars":[{"varval":"Burt is saving to go on a holiday in 6 months time.\n\nHe already has $470 saved and intends to add a futher $140 each month for the next 6 months.\n\nHow much money will Burt have saved, in total, by the time he goes on holidays?"},{"varval":"Strategy 1:\n\nConsider the amount Burt saves each month\n\n>Amount already saved = $470\n\n>Amount saved after 1 month = 470 + 140 = 610\n\n>Amount saved after 2 months = 610 + 140 = 750\n\n>Amount saved after 3 months = 750 + 140 = 890\n\n>Amount saved after 4 months = 890 + 140 = 1030\n\n>Amount saved after 5 months = 1030 + 140 = 1170\n\n>Amount saved after 6 months = 1170 + 140 = {{{correctAnswer}}}\n\n<br>Therefore, Burt has saved {{{correctAnswer}}} for his holiday.\n\nStrategy 2: (Advanced)\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Savings | = 470 + 140 $\\times$ month number |\n| | = 470 + 140 $\\times$ 6 |\n| | = 470 + 840 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n<br>Therefore, Burt has saved {{{correctAnswer}}} for his holiday."}]},{"vars":[{"varval":"Betty is taking part in a walking challenge that lasts for 5 weeks.\n\nDuring the first week she walks 37 kilometres. Every week after this she intends to increase the number of kilometres she walks by 3.\n\nHow many kilometres will Betty walk during the last week of the challenge?"},{"varval":"Strategy 1:\n\nConsider the kilometres Betty walks each week\n\n>Number of kilometres week 1 = 37\n\n>Number of kilometres week 2 = 37 + 3 = 40\n\n>Number of kilometres week 3 = 40 + 3 = 43\n\n>Number of kilometres week 4 = 43 + 3 = 46\n\n>Number of kilometres week 5 = 46 + 3 = {{{correctAnswer}}}\n\n<br>Therefore, Betty walked {{{correctAnswer}}} kilometres during the 5th week.\n\nStrategy 2: (Advanced)\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Kilometres | = 37 + 3 $\\times$ (week number - 1) |\n| | = 37 + 3 $\\times$ (5 $-$ 1) |\n| | = 37 + 3 $\\times$ 4 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n<br>Therefore, Betty walked {{{correctAnswer}}} kilometres during the 5th week."}]},{"vars":[{"varval":"George is taking part in a 100 metre sprinting challenge and he records his best 100 metre time each week for 6 weeks.\n\nDuring the first week he records a best time of 31 seconds. Every week after this he intends to reduce his weekly best time by 2 seconds.\n\nWhat should George's best time be during the last week of the challenge if he has achieved his goal?"},{"varval":"Strategy 1:\n\nConsider the times George records each week\n\n>Best time week 1 = 31\n\n>Best time week 2 = 31 $-$ 2 = 29\n\n>Best time week 3 = 29 $-$ 2 = 27\n\n>Best time week 4 = 27 $-$ 2 = 25\n\n>Best time week 5 = 25 $-$ 2 = 23\n\n>Best time week 6 = 23 $-$ 2 = {{{correctAnswer}}}\n\n<br>Therefore, George records a best time of {{{correctAnswer}}} seconds during the 6th week of the Challenge.\n\nStrategy 2: (Advanced)\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Push-ups | = 31 $-$ 2 $\\times$ (week number - 1) |\n| | = 31 $-$ 2 $\\times$ (6 $-$ 1) |\n| | = 31 $-$ 2 $\\times$ 5 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n<br>Therefore, George records a best time of {{{correctAnswer}}} seconds during the 6th week of the Challenge."}]}]

Algebra, NAP_20025 - d28a3f74-e861-4941-9476-429293209ed2 - (August 21, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Patience is setting out exam desks in the school hall using the pattern shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v0-min.svg 550 indent vpad\n\nIf this pattern continues until there are six rows, what is the total number of exam desks in the hall when Patience has finished?"},{"varval":"The number of desks in each row is decreasing by 1\n\n>Desks in Row 1 = 8\n\n>Desks in Row 2 = 7\n\n>Desks in Row 3 = 6\n\n>Desks in Row 4 = 5\n\n>Desks in Row 5 = 4\n\n>Desks in Row 6 = 3\n\n<br>\n \nTherefore, the total number of desks = 8 + 7 + 6 + 5 + 4 + 3 = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Arima is planting flowers in his garden using the pattern shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v1-min.svg 550 indent vpad\n\nIf this pattern continues until there are seven rows, what is the total number of flowers in the garden when Arima is finished planting?"},{"varval":"The number of plants in each row is decreasing by 2\n\n>Plants in Row 1 = 14\n\n>Plants in Row 2 = 12\n\n>Plants in Row 3 = 10\n\n>Plants in Row 4 = 8\n\n>Plants in Row 5 = 6\n\n>Plants in Row 6 = 4\n\n>Plants in Row 7 = 2\n\n\n<br>\n \nTherefore, the total number of plants = 14 + 12 + 10 + 8 + 6 + 4 + 2 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Jansui is arranging a display of cakes using the pattern shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v2-min.svg 550 indent vpad\n\nIf this pattern continues until there are 5 rows, what is the total number of cakes in the display when Jansui has finished?"},{"varval":"The number of cakes in each row is decreasing by 3\n\n>Cakes in Row 1 = 13\n\n>Cakes in Row 2 = 10\n\n>Cakes in Row 3 = 7\n\n>Cakes in Row 4 = 4\n\n>Cakes in Row 5 = 1\n\n<br>\n \nTherefore, the total number of Cakes = 13 + 10 + 7 + 4 + 1 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Nat is arranging band members for the parade using a pattern shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v3-min.svg 550 indent vpad\n\nIf this pattern continues until there are six rows, what is the total number of band members in the parade when Nat has finished?"},{"varval":"The number of band members in each row is decreasing by 2\n\n>Band members in Row 1 = 13\n\n>Band members in Row 2 = 11\n\n>Band members in Row 3 = 9\n\n>Band members in Row 4 = 7\n\n>Band members in Row 5 = 5\n\n>Band members in Row 6 = 3\n\n<br>\n \nTherefore, the total number of desks = 13 + 11 + 9 + 7 + 5 + 3 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Faith is planting Christmas trees in rows using the pattern shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v4a-min.svg 650 indent vpad\n\nIf this pattern continues until there are five rows, what is the total number of Christmas trees Faith has planted?"},{"varval":"The number of Christmas trees in each row is decreasing by 5\n\n>Christmas trees in Row 1 = 21\n\n>Christmas trees in Row 2 = 16\n\n>Christmas trees in Row 3 = 11\n\n>Christmas trees in Row 4 = 6\n\n>Christmas trees in Row 5 = 1\n\n<br>\n \nTherefore, the total number of Singers = 21 + 16 + 11 + 6 + 1 = {{{correctAnswer}}}"}]}]

Algebra, NAP_20021 - 15b9c648-92e9-40c7-87dd-3d8e2ec4c800 - (August 20, 2023)

Algebra, NAPX-G3-NC08

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Cata uses sticks to make a pattern.\n\nShe starts with 2 sticks for Design 1.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v1q-min.svg 725 indent vpad\n\nHow many sticks does Cata need for Design 5?"},{"varval":"Strategy One\n\nDrawing design 5:\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v1ws-min.svg 135 indent vpad\n\n∴ {{{correctAnswer}}} sticks are required for design 5 \n\n<br>\n\n\n\nStrategy Two\n\n\n>Design 2 has 4 more sticks than design 1.\n\n>Design 3 has 6 more sticks than design 2.\n\n>Design 4 has 8 more sticks than design 3.\n\n<br>Continuing this pattern,\n\n>Design 5 will have 10 more sticks than design 4 = 20 + 10 = {{{correctAnswer}}} sticks.\n"}]},{"vars":[{"varval":"Alexia uses sticks to make a pattern.\n\nShe starts with 3 sticks for Design 1.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v0q-min.svg 725 indent vpad\n\nHow many sticks does Alexia need for Design 5?"},{"varval":"Strategy One\n\nDrawing design 5:\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v0ws-min.svg 135 indent vpad\n\n∴ {{{correctAnswer}}} sticks are required for design 5 \n\n<br>\n\n\n\nStrategy Two\n\n\n>Design 2 has 6 more sticks than design 1.\n\n>Design 3 has 9 more sticks than design 2.\n\n>Design 4 has 12 more sticks than design 3.\n\n<br>Continuing this pattern,\n\n>Design 5 will have 15 more sticks than design 4 = 30 + 15 = {{{correctAnswer}}} sticks.\n"}]},{"vars":[{"varval":"Felix uses sticks to make a pattern.\n\nHe starts with 3 sticks for Design 1.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v2q-min.svg 725 indent vpad\n\nHow many sticks does Felix need for Design 5?"},{"varval":"Strategy One\n\nDrawing design 5:\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v2ws-min.svg 180 indent vpad\n\n∴ {{{correctAnswer}}} sticks are required for design 5 \n\n<br>\n\n\n\nStrategy Two\n\n\n>Design 2 has 6 more sticks than design 1.\n\n>Design 3 has 9 more sticks than design 2.\n\n>Design 4 has 12 more sticks than design 3.\n\n<br>Continuing this pattern,\n\n>Design 5 will have 15 more sticks than design 4 = 30 + 15 = {{{correctAnswer}}} sticks.\n"}]},{"vars":[{"varval":"Hugh uses sticks to make a pattern.\n\nHe starts with 4 sticks for Design 1.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v3q-min.svg 725 indent vpad\n\nHow many sticks does Hugh need for Design 5?"},{"varval":"Strategy One\n\nDrawing design 5:\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v3ws-min.svg 180 indent vpad\n\n∴ {{{correctAnswer}}} sticks are required for design 5 \n\n<br>\n\n\n\nStrategy Two\n\n\n>Design 2 has 8 more sticks than design 1.\n\n>Design 3 has 12 more sticks than design 2.\n\n>Design 4 has 16 more sticks than design 3.\n\n<br>Continuing this pattern,\n\n>Design 5 will have 20 more sticks than design 4 = 40 + 20 = {{{correctAnswer}}} sticks."}]},{"vars":[{"varval":"Aaron uses sticks to make a pattern.\n\nHe starts with 5 sticks for Design 1.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v4q-min.svg 725 indent vpad\n\nHow many sticks does Aaron need for Design 5?"},{"varval":"Strategy One\n\nDrawing design 5:\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v4ws-min.svg 180 indent vpad\n\n∴ {{{correctAnswer}}} sticks are required for design 5 \n\n<br>\n\n\n\nStrategy Two\n\n\n>Design 2 has 10 more sticks than design 1.\n\n>Design 3 has 15 more sticks than design 2.\n\n>Design 4 has 20 more sticks than design 3.\n\n<br>Continuing this pattern,\n\n>Design 5 will have 25 more sticks than design 4 = 50 + 25 = {{{correctAnswer}}} sticks."}]}]

Algebra, NAP_19001 - 3d081eee-119e-4ee0-b0a6-e3024fae394d - (August 17, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"If the pattern below continues, what is the next image in the pattern?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_19001v01-min.svg 600 indent vpad\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"If the pattern below continues, what is the next image in the pattern?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_19001v1-min.svg 600 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"If the pattern below continues, what is the next image in the pattern?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_19001v2-min.svg 600 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"If the pattern below continues, what is the next image in the pattern?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_19001v3-min.svg 600 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"If the pattern below continues, what is the next image in the pattern?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_19001v4-min.svg 600 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"If the pattern below continues, what is the next image in the pattern?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_19001v5-min.svg 600 indent vpad"},{"varval":"{{{correctAnswer}}}"}]}]

Algebra, NAP_70771 - 14dbafcc-106a-45f5-a5c5-9d501fda05fa - (August 17, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ferris is writing down a number pattern.\n\n>23, 22, 20, 17, <span class=\"sm-text color1\">?</span>\n\n<br>\n\nWhat number should Ferris write down next?"},{"varval":"The amount being subtracted each time is increasing by 1.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 23||\n|2nd number|= 23 $-$ **1**| = 22|\n|3rd number|= 22 $-$ **2**| = 20|\n|4th number|= 20 $-$ **3**| = 17 |\n|<span class=\"sm-text color1\">?</span>| = 17 $-$ **4**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Prince is writing down a number pattern.\n\n>35, 30, 24, 17, <span class=\"sm-text color2\">?</span>\n\n<br>\n\nWhat number should Prince write down next?"},{"varval":"The amount being subtracted each time is increasing by 1.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 35||\n|2nd number|= 35 $-$ **5**| = 30|\n|3rd number|= 30 $-$ **6**| = 24|\n|4th number|= 24 $-$ **7**| = 17 |\n|<span class=\"sm-text color2\">?</span>| = 17 $-$ **8**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Hugo is writing down a number pattern.\n\n>40, 35, 31, 28, <span class=\"sm-text color3\">?</span>\n\n<br>\n\nWhat number should Hugo write down next?"},{"varval":"The amount being subtracted each time is decreasing by 1.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 40||\n|2nd number|= 40 $-$ **5**| = 35|\n|3rd number|= 35 $-$ **4**| = 31|\n|4th number|= 31 $-$ **3**| = 28 |\n|<span class=\"sm-text color3\">?</span>| = 28 $-$ **2**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Pat is writing down a number pattern.\n\n>60, 50, 41, 33, <span class=\"sm-text color4\">?</span>\n\n<br>\n\nWhat number should Pat write down next?"},{"varval":"The amount being subtracted each time is decreasing by 1.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 60||\n|2nd number|= 60 $-$ **10**| = 50|\n|3rd number|= 50 $-$ **9**| = 41|\n|4th number|= 41 $-$ **8**| = 33 |\n|<span class=\"sm-text color4\">?</span>| = 33 $-$ **7**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Bjorn is writing down a number pattern.\n\n>102, 112, 132, 162, <span class=\"sm-text color2\">?</span>\n\n<br>\n\nWhat number should Bjorn write down next?"},{"varval":"The amount being added each time is increasing by 10.\n<div class=\"aligned\">\n\n>||||\n|-:|-|-|\n|1st number|= 102||\n|2nd number|= 102 + **10**| = 112|\n|3rd number|= 112 + **20**| = 132|\n|4th number|= 132 + **30**| = 162 |\n|<span class=\"sm-text color2\">?</span>| = 162 + **40**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Isobel is writing down a number pattern.\n\n>43, 48, 58, 73, <span class=\"sm-text color3\">?</span>\n\n<br>\n\nWhat number should Isobel write down next?"},{"varval":"The amount being added each time is increasing by 5.\n<div class=\"aligned\">\n\n>||||\n|-:|-|-|\n|1st number|= 43||\n|2nd number|= 43 + **5**| = 48|\n|3rd number|= 48 + **10**| = 58|\n|4th number|= 58 + **15**| = 73 |\n|<span class=\"sm-text color3\">?</span>| = 73 + **20**| = {{{correctAnswer}}}|\n\n</div>"}]}]

Algebra, NAP_70770 - c56964ad-5ed6-42bd-b13c-31022b70ca73 - (August 17, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Horatio wrote down the following number pattern?\n\n>7, 8, 10, 13, <span class=\"sm-text color1\">?</span>\n\n<br>\n\nWhat is the number Horatio should write down next? "},{"varval":"The amount being added each time is increasing by one.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 7||\n|2nd number|= 7 + **1**| = 8|\n|3rd number|= 8 + **2**| = 10|\n|4th number|= 10 + **3**| = 13 |\n|<span class=\"sm-text color1\">?</span>| = 13 + **4**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Georgio wrote down the following number pattern?\n\n>26, 27, 29, 32, <span class=\"sm-text color2\">?</span>\n\n<br>\n\nWhat is the number Georgio should write down next? "},{"varval":"The amount being added each time is increasing by one.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 26||\n|2nd number|= 26 + **1**| = 27|\n|3rd number|= 27 + **2**| = 29|\n|4th number|= 29 + **3**| = 32 |\n|<span class=\"sm-text color2\">?</span>| = 32 + **4**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Claudio wrote down the following number pattern?\n\n>18, 19, 21, 24, <span class=\"sm-text color3\">?</span>\n\n<br>\n\nWhat is the number Claudio should write down next? "},{"varval":"The amount being added each time is increasing by one.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 18||\n|2nd number|= 18 + **1**| = 19|\n|3rd number|= 19 + **2**| = 21|\n|4th number|= 21 + **3**| = 24 |\n|<span class=\"sm-text color3\">?</span>| = 24 + **4**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Luigi wrote down the following number pattern?\n\n>9, 11, 15, 21, <span class=\"sm-text color4\">?</span>\n\n<br>\n\nWhat is the number Luigi should write down next? "},{"varval":"The amount being added each time is increasing by 2.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 9||\n|2nd number|= 9 + **2**| = 11|\n|3rd number|= 11 + **4**| = 15|\n|4th number|= 15 + **6**| = 21 |\n|<span class=\"sm-text color4\">?</span>| = 21 + **8**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Juliet wrote down the following number pattern?\n\n>21, 23, 27, 33, <span class=\"sm-text color5\">?</span>\n\n<br>\n\nWhat is the number Juliet should write down next? "},{"varval":"The amount being added each time is increasing by 2.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 21||\n|2nd number|= 21 + **2**| = 23|\n|3rd number|= 23 + **4**| = 27|\n|4th number|= 27 + **6**| = 33 |\n|<span class=\"sm-text color5\">?</span>| = 33 + **8**| = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Angeline wrote down the following number pattern?\n\n>75, 77, 81, 87, <span class=\"sm-text color6\">?</span>\n\n<br>\n\nWhat is the number Angeline should write down next? "},{"varval":"The amount being added each time is increasing by 2.\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|1st number|= 75||\n|2nd number|= 75 + **2**| = 77|\n|3rd number|= 77 + **4**| = 81|\n|4th number|= 81 + **6**| = 87 |\n|<span class=\"sm-text color6\">?</span>| = 87 + **8**| = {{{correctAnswer}}}|\n\n</div>"}]}]

Algebra - 94681d29-424e-4e24-8fd4-4cfe2282cab4 - (August 17, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Johnny created a number pattern by adding four to a number to get the next number.\n\nWhich of these could be the first four numbers in Johnny's pattern?"},{"varval":"The next number is found by adding 4 to the previous number\n\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|Starting number|= 18||\n|2nd number|= 18 + 4|= 22|\n|3rd number|= 22 + 4|= 26|\n|4th number|= 26 + 4|= 30|\n\n<br>$\\therefore$ Johnny's pattern is: {{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"Pearl created a number pattern by adding seven to a number to get the next number.\n\nWhich of these could be the first four numbers in Pearl's pattern?"},{"varval":"The next number is found by adding 7 to the previous number\n\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|Starting number|= 9||\n|2nd number|= 9 + 7|= 16|\n|3rd number|= 16 + 7|= 23|\n|4th number|= 23 + 7|= 30|\n\n<br>$\\therefore$ Pearl's pattern is: {{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"Kym created a number pattern by adding nine to a number to get the next number.\n\nWhich of these could be the first four numbers in Kym's pattern?"},{"varval":"The next number is found by adding 9 to the previous number\n\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|Starting number|= 23||\n|2nd number|= 23 + 9|= 32|\n|3rd number|= 32 + 9|= 41|\n|4th number|= 41 + 9|= 50|\n\n<br>$\\therefore$ Kim's pattern is: {{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"Poh created a number pattern by adding five to a number to get the next number.\n\nWhich of these could be the first four numbers in Poh's pattern?"},{"varval":"The next number is found by adding 5 to the previous number\n\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|Starting number|= 41||\n|2nd number|= 41 + 5|= 46|\n|3rd number|= 46 + 5|= 51|\n|4th number|= 51 + 5|= 56|\n\n<br>$\\therefore$ Poh's pattern is: {{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"Letty created a number pattern by adding eight to a number to get the next number.\n\nWhich of these could be the first four numbers in Letty's pattern?"},{"varval":"The next number is found by adding 8 to the previous number\n\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|Starting number|= 31||\n|2nd number|= 31 + 8|= 39|\n|3rd number|= 39 + 8|= 47|\n|4th number|= 47 + 8|= 55|\n\n<br>$\\therefore$ Letty's pattern is: {{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"Neil created a number pattern by adding eleven to a number to get the next number.\n\nWhich of these could be the first four numbers in Neil's pattern?"},{"varval":"The next number is found by adding 11 to the previous number\n\n<div class=\"aligned\">\n\n||||\n|-:|-|-|\n|Starting number|= 31||\n|2nd number|= 18 + 4|= 42|\n|3rd number|= 22 + 4|= 53|\n|4th number|= 26 + 4|= 64|\n\n<br>$\\therefore$ Neil's pattern is: {{{correctAnswer}}}\n\n</div>"}]}]

Algebra, NAP_40044 - 03e654d0-1753-4d9c-a658-f96ea8339d89 - (August 17, 2023)

Algebra, NAPX-C1-14

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The flags below make a pattern.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_40044v0a-min.svg 550 indent vpad\n\nWhich of these shows the order of the next four flags?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The flags below make a pattern.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_40044v1-min.svg 550 indent vpad\n\nWhich of these shows the order of the next four flags?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The flags below make a pattern.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_40044v2-min.svg 550 indent vpad\n\nWhich of these shows the order of the next four flags?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The flags below make a pattern.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_40044v3-min.svg 550 indent vpad\n\nWhich of these shows the order of the next four flags?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The flags below make a pattern.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_40044v4-min.svg 550 indent vpad\n\nWhich of these shows the order of the next four flags?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The flags below make a pattern.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_40044v5-min.svg 550 indent vpad\n\nWhich of these shows the order of the next four flags?"},{"varval":"{{{correctAnswer}}}"}]}]

Algebra, NAP_70081 - 3da6645a-0552-4119-b1d9-9b054bc6a5fe - (August 16, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"These numbers form a pattern.\n\n>> 17 , 21 , 25 , 29 , <span class=\"sm-text color1\">?</span> , <span class=\"sm-text color1\">?</span>\n\n\n<br>The next 2 numbers in the pattern are:"},{"varval":"The next term is found by adding 4 to the previous term\n\n<div class=\"aligned\">\n\n>>||||\n|-:|-|-|\n|Starting number|= 17||\n|2nd number|= 17 + 4|= 21|\n|3rd number|= 21 + 4|= 25|\n|4th number|= 25 + 4|= 29|\n|5th number|= 29 + 4|= 33|\n|6th number|= 33 + 4|= 37|\n\n<br>Therefore, the next 2 numbers are {{{correctAnswer}}}.\n\n</div>"}]},{"vars":[{"varval":"These numbers form a pattern.\n\n>> 23 , 20 , 17 , 14 , <span class=\"sm-text color2\">?</span> , <span class=\"sm-text color2\">?</span>\n\n\n<br>The next 2 numbers in the pattern are:"},{"varval":"The next term is found by subtracting 3 from the previous term\n\n<div class=\"aligned\">\n\n>>||||\n|-:|-|-|\n|Starting number|= 23||\n|2nd number|= 23 $-$ 3|= 20|\n|3rd number|= 20 $-$ 3|= 17|\n|4th number|= 17 $-$ 3|= 14|\n|5th number|= 14 $-$ 3|= 11|\n|6th number|= 11 $-$ 3|= 8|\n\n<br>Therefore, the next 2 numbers are {{{correctAnswer}}}.\n\n</div>"}]},{"vars":[{"varval":"These numbers form a pattern.\n\n>> 9 , 15 , 21 , 27 , <span class=\"sm-text color4\">?</span> , <span class=\"sm-text color4\">?</span>\n\n\n<br>The next 2 numbers in the pattern are:"},{"varval":"The next term is found by adding 6 to the previous term\n\n<div class=\"aligned\">\n\n>>||||\n|-:|-|-|\n|Starting number|= 9||\n|2nd number|= 9 + 6|= 15|\n|3rd number|= 15 + 6|= 21|\n|4th number|= 21 + 6|= 27|\n|5th number|= 27 + 6|= 33|\n|6th number|= 33 + 6|= 39|\n\n<br>Therefore, the next 2 numbers are {{{correctAnswer}}}.\n\n</div>"}]},{"vars":[{"varval":"These numbers form a pattern.\n\n>> 82 , 73 , 64 , 55 , <span class=\"sm-text color5\">?</span> , <span class=\"sm-text color5\">?</span>\n\n\n<br>The next 2 numbers in the pattern are:"},{"varval":"The next term is found by subtracting 9 from the previous term\n\n<div class=\"aligned\">\n\n>>||||\n|-:|-|-|\n|Starting number|= 82||\n|2nd number|= 82 $-$ 9|= 73|\n|3rd number|= 73 $-$ 9|= 64|\n|4th number|= 64 $-$ 9|= 55|\n|5th number|= 55 $-$ 9|= 46|\n|6th number|= 46 $-$ 9|= 37|\n\n<br>Therefore, the next 2 numbers are {{{correctAnswer}}}.\n\n</div>"}]},{"vars":[{"varval":"These numbers form a pattern.\n\n>> 800 , 400 , 200 , 100 , <span class=\"sm-text color6\">?</span> , <span class=\"sm-text color6\">?</span>\n\n\n<br>The next 2 numbers in the pattern are:"},{"varval":"The next number in the pattern is found by halving the previous number.\n\n<div class=\"aligned\">\n\n>>||||\n|-:|-|-|\n|Starting number|= 800||\n|2nd number|= 800 $\\div$ 2|= 400|\n|3rd number|= 400 $\\div$ 2|= 200|\n|4th number|= 200 $\\div$ 2|= 100|\n|5th number|= 100 $\\div$ 2|= 50|\n|6th number|= 50 $\\div$ 2|= 25|\n\n<br>Therefore, the next 2 numbers are {{{correctAnswer}}}.\n\n</div>"}]},{"vars":[{"varval":"These numbers form a pattern.\n\n>> 1 , 2 , 4 , 8 , <span class=\"sm-text color3\">?</span> , <span class=\"sm-text color3\">?</span>\n\n\n<br>The next 2 numbers in the pattern are:"},{"varval":"The next number in the pattern is found by doubling the previous number.\n\n<div class=\"aligned\">\n\n>>||||\n|-:|-|-|\n|Starting number|= 1||\n|2nd number|= 1 $\\times$ 2|= 2|\n|3rd number|= 2 $\\times$ 2|= 4|\n|4th number|= 4 $\\times$ 2|= 8|\n|5th number|= 8 $\\times$ 2|= 16|\n|6th number|= 16 $\\times$ 2|= 32|\n\n<br>Therefore, the next 2 numbers are {{{correctAnswer}}}.\n\n</div>\n"}]}]

Algebra, NAP_10099 - 60ef1705-9f11-4df3-b981-c699a96b0347 - (August 16, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Greg is building patterns using hexagons.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v0-min.svg 400 indent vpad\n\nHow many hexagons will Greg need to make Pattern 4?"},{"varval":"Each pattern has the bottom row removed.\n\n>>Pattern 1 = 1 + 2 + 3 + 4 + 5 + 6 = 21 hexagons\n\n>>Pattern 2 = 1 + 2 + 3 + 4 + 5 = 15 hexagons\n\n>>Pattern 3 = 1 + 2 + 3 + 4 = 10 hexagons\n\n>>Pattern 4 = 1 + 2 + 3 = {{{correctAnswer}}} hexagons\n"}]},{"vars":[{"varval":"Maui is building patterns using hexagons.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v1-min.svg 400 indent vpad\n\nHow many hexagons will Maui need to make Pattern 4?"},{"varval":"Each pattern has 2 hexagons added.\n\n>>Pattern 1 = 6 hexagons\n\n>>Pattern 2 = 8 hexagons\n\n>>Pattern 3 = 10 hexagons\n\n>>Pattern 4 = {{{correctAnswer}}} hexagons\n"}]},{"vars":[{"varval":"Heather is building patterns using hexagons.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v2-min.svg 350 indent vpad\n\nHow many hexagons will Heather need to make Pattern 4?"},{"varval":"Each pattern has 4 hexagons added.\n\n>>Pattern 1 = 5 hexagons\n\n>>Pattern 2 = 9 hexagons\n\n>>Pattern 3 = 13 hexagons\n\n>>Pattern 4 = {{{correctAnswer}}} hexagons\n"}]},{"vars":[{"varval":"Kendra is building patterns using hexagons.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v3-min.svg 350 indent vpad\n\nHow many hexagons will Kendra need to make Pattern 4?"},{"varval":"Each pattern has 3 hexagons added.\n\n>>Pattern 1 = 5 hexagons\n\n>>Pattern 2 = 8 hexagons\n\n>>Pattern 3 = 11 hexagons\n\n>>Pattern 4 = {{{correctAnswer}}} hexagons"}]},{"vars":[{"varval":"Polly is building patterns using hexagons.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v4.svg 350 indent vpad\n\nHow many hexagons will Polly need to make Pattern 4?"},{"varval":"Each pattern has 3 hexagons added.\n\n>>Pattern 1 = 1 hexagon\n\n>>Pattern 2 = 4 hexagons\n\n>>Pattern 3 = 7 hexagons\n\n>>Pattern 4 = {{{correctAnswer}}} hexagons"}]}]

Algebra, NAP_71000 - 2c733a6a-7487-4d64-87f7-49621c4b3b84 - (August 16, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the first number in this number pattern?\n\n>> <span class=\"sm-text color3\">?</span>, 88, 92, 96, 100 "},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|92 $-$ 88|= 4|\n|96 $-$ 92|= 4|\n|100 $-$ 96|= 4|\n\n<br>Therefore, to get to the first number you do the reverse and take away 4.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color3\">?</span>|= 2nd number $-$ 4|\n||= 88 $-$ 4|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"What is the first number in this number pattern?\n\n>> <span class=\"sm-text color2\">?</span>, 25, 31, 37, 43 "},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|31 $-$ 25|= 6|\n|37 $-$ 31|= 6|\n|43 $-$ 37|= 6|\n\n<br>Therefore, to get to the first number you do the reverse and take away 6.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color2\">?</span>|= 2nd number $-$ 6|\n||= 25 $-$ 6|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"What is the first number in this number pattern?\n\n>> <span class=\"sm-text color1\">?</span>, 60, 52, 44, 36 "},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|52 $-$ 60|= $-$ 8|\n|44 $-$ 52|= $-$ 8|\n|36 $-$ 44|= $-$ 8|\n\n<br>Therefore, to get to the first number you do the reverse and add 8.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color1\">?</span>|= 2nd number $+$ 8|\n||= 60 $+$ 8|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"What is the first number in this number pattern?\n\n>> <span class=\"sm-text color4\">?</span>, 32, 27, 22, 17"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|27 $-$ 32|= $-$ 5|\n|22 $-$ 27|= $-$ 5|\n|17 $-$ 22|= $-$ 5|\n\n<br>Therefore, to get to the first number you do the reverse and add 5.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color4\">?</span>|= 2nd number $+$ 5|\n||= 32 $+$ 5|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"What is the first number in this number pattern?\n\n>> <span class=\"sm-text color5\">?</span>, 110, 113, 116, 119 "},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|113 $-$ 110|= 3|\n|116 $-$ 113|= 3|\n|119 $-$ 116|= 3|\n\n<br>Therefore, to get to the first number you do the reverse and take away 3.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color5\">?</span>|= 2nd number $-$ 3|\n||= 110 $-$ 3|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"What is the first number in this number pattern?\n\n>> <span class=\"sm-text color6\">?</span>, 250, 220, 190, 160 "},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|220 $-$ 250|= $-$ 30|\n|190 $-$ 220|= $-$ 30|\n|160 $-$ 190|= $-$ 30|\n\n<br>Therefore, to get to the first number you do the reverse and add 30.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color6\">?</span>|= 2nd number $+$ 30|\n||= 250 $+$ 30|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]}]

Algebra, NAP_30045 - 6903a926-c046-4c75-99df-9397096f1b9c - (August 16, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Didier has placed numbered cards on the table in a pattern as shown below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v0-min.svg 300 indent2 vpad\n\n\nWhen Didier turns the middle card, what number should be on the card?"},{"varval":"The difference between numbers on cards is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|27 $-$ 21|= 6|\n|45 $-$ 39|= 6|\n\n<br>Therefore the middle card will be:\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n||= 2nd card $+$ 6|\n||= 27 $+$ 6|\n||= {{{correctAnswer}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"Gamora has placed numbered cards on the table in a pattern as shown below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v1-min.svg 300 indent2 vpad\n\n\nWhen Gamora turns the middle card, what number should be on the card?"},{"varval":"The difference between numbers on cards is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|78 $-$ 81|= $-$ 3|\n|69 $-$ 72|= $-$ 3|\n\n<br>Therefore the middle card will be:\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n||= 2nd card $-$ 3|\n||= 78 $-$ 3|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Thor has placed numbered cards on the table in a pattern as shown below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v2-min.svg 300 indent2 vpad\n\n\nWhen Thor turns the middle card, what number should be on the card?"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|32 $-$ 21|= 11|\n|65 $-$ 54|= 11|\n\n<br>Therefore the middle card will be:\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n||= 2nd card $+$ 11|\n||= 32 $+$ 11|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Jansen has placed numbered cards on the table in a pattern as shown below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v3b-min.svg 300 indent2 vpad\n\n\nWhen Jansen turns the middle card, what number should be on the card?"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|52 $-$ 56|= $-$ 4|\n|40 $-$ 44|= $-$ 4|\n\n<br>Therefore the middle card will be:\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n||= 2nd card $-$ 4|\n||= 52 $-$ 4|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Loz has placed numbered cards on the table in a pattern as shown below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v4-min.svg 300 indent2 vpad\n\n\nWhen Loz turns the middle card, what number should be on the card?"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|25 $-$ 19|= 6|\n|43 $-$ 37|= 6|\n\n<br>Therefore the middle card will be:\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n||= 2nd card $+$ 6|\n||= 25 $+$ 6|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Patrick has placed numbered cards on the table in a pattern as shown below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_30045v5-min.svg 300 indent2 vpad\n\n\nWhen Patrick turns the middle card, what number should be on the card?"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|72 $-$ 65|= 7|\n|93 $-$ 86|= 7|\n\n<br>Therefore the middle card will be:\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n||= 2nd card $+$ 7|\n||= 72 $+$ 7|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Algebra, NAP_10060 - e213bebe-d889-4d17-a6e7-6de423b1eb10 - (August 16, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the rule you would use to find the next number in this number pattern?\n\n>> 87, 91, 95, 99, <span class=\"sm-text color3\">?</span>"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|91 $-$ 87|= 4|\n|95 $-$ 91|= 4|\n|90 $-$ 95|= 4|\n\n<br>Therefore to get to the next number add 4.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color3\">?</span>|= last number $+$ 4 = 103|\n|Rule|= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"What is the rule you would use to find the next number in this number pattern?\n\n>> 102, 96, 90, 84, <span class=\"sm-text color4\">?</span>"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|96 $-$ 102|= $-$ 6|\n|90 $-$ 96|= $-$ 6|\n|84 $-$ 90|= $-$ 6|\n\n<br>Therefore to get to the next number takeaway 6.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color4\">?</span>|= last number $-$ 6 = 78|\n|Rule|= {{{correctAnswer}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"What is the rule you would use to find the next number in this number pattern?\n\n>> 34, 46, 58, 70, <span class=\"sm-text color5\">?</span>"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|46 $-$ 34|= 12|\n|58 $-$ 46|= 12|\n|70 $-$ 58|= 12|\n\n<br>Therefore to get to the next number add 12.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color5\">?</span>|= last number $+$ 12 = 82|\n|Rule|= {{{correctAnswer}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"What is the rule you would use to find the next number in this number pattern?\n\n>> 71, 68, 65, 62, <span class=\"sm-text color6\">?</span>"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|68 $-$ 71|= $-$ 3|\n|65 $-$ 68|= $-$ 3|\n|62 $-$ 65|= $-$ 3|\n\n<br>Therefore to get to the next number take away 3.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color6\">?</span>|= last number $-$ 3 = 59|\n|Rule|= {{{correctAnswer}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"What is the rule you would use to find the next number in this number pattern?\n\n>> 135, 142, 149, 156, <span class=\"sm-text color8\">?</span>"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|142 $-$ 135|= 7|\n|149 $-$ 142|= 7|\n|156 $-$ 149|= 7|\n\n<br>Therefore to get to the next number add 7.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color8\">?</span>|= last number $+$ 7 = 163|\n|Rule|= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"What is the rule you would use to find the next number in this number pattern?\n\n>> 118, 109, 100, 91, <span class=\"sm-text color1\">?</span>"},{"varval":"The difference between numbers is:\n<div class=\"aligned\">\n\n>>|||\n|-:|-|\n|109 $-$ 118|= $-$ 9|\n|100 $-$ 109|= $-$ 9|\n|91 $-$ 100|= $-$ 9|\n\n<br>Therefore to get to the next number take away 9.\n\n</div>\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|<span class=\"sm-text color1\">?</span>|= last number $-$ 9 = 82|\n|Rule|= {{{correctAnswer}}}|\n\n</div>\n\n"}]}]

Algebra, NAP_10055 - f392f3b7-972c-404f-b841-dc5e8b26a77f - (August 16, 2023)

Algebra, NAPX-J3-CA04 SA, NAPX-J2-11

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Using the table, a teacher allocates coloured pencils to class groups depending on the number of students in each group.\n\n<br>\n\n<div class=\"sm-table row1-color1\">\n\n>>| Number of <br> students in group | Coloured <br> pencils| \n|:-:|:-:|\n| 2 | 10|\n| 4 | 20|\n| 6 | **?**|\n|8|40|\n\n</div>\n\n<br>Using the pattern in the table, how many pencils should a group of 6 students receive?"},{"varval":"The pattern shows that each student receives\n 5 coloured pencils.\n\n>>Pieces = 5 $\\times$ 6 = {{{correctAnswer0}}}\n\n<br>∴ A group of 6 will be given {{{correctAnswer0}}} pieces."}]},{"vars":[{"varval":"Using the table, a soccer trainer allocates balls to teams depending on the number of players in each training group.\n\n<br>\n\n<div class=\"sm-table row1-color2\">\n\n>>| Number of <br> players in group| Number of <br> balls | \n|:-:|:-:|\n| 6 | 3|\n| 8 | 4|\n| 10 | **?**|\n|12|6|\n\n</div>\n\n<br>Using the pattern in the table, how many balls should a training group of 10 players receive?"},{"varval":"The pattern shows that there is 1 ball for every 2 players.\n\nsm_nogap Number of balls \n\n>>= Players $\\div$ 2\n\n>>= 10 $\\div$ 2\n\n>> = {{{correctAnswer0}}}\n\n<br>∴ A team of 10 will be given {{{correctAnswer0}}} balls."}]},{"vars":[{"varval":"Using the table, a chef allocates cups of flour to a cupcake recipe depending on the number of cupcakes being baked.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| Number of cupcakes <br> being baked | Cups of <br> flour| \n|:-:|:-:|\n| 12 | 2|\n| 24 | 4|\n| 36 | **?**|\n|48|8|\n\n</div>\n\n<br>Using the pattern in the table, how many cups of flour should be allocated for a recipe making 36 cupcakes?"},{"varval":"The pattern shows that there is 1 cup of flour used for every 6 cupcakes baked\n\nsm_nogap Cups of flour \n\n>>= Cupcakes $\\div$ 6\n\n>>= 36 $\\div$ 6\n\n>> = {{{correctAnswer0}}}\n\n<br>∴ A batch of 36 cupcakes will be allocated {{{correctAnswer0}}} cups of flour."}]},{"vars":[{"varval":"Using the table, a caterer allocates mini pies to groups depending on the number of people in each group.\n\n<br>\n\n<div class=\"sm-table row1-color4\">\n\n>>| Number of <br> people in group | Number of <br> mini pies| \n|:-:|:-:|\n| 4 | 16|\n| 6 | 24|\n| 8 | **?**|\n|10|40|\n\n</div>\n\n<br>Using the pattern in the table, how many mini pies should a group of 8 people receive?"},{"varval":"The pattern shows that each person receives 4 mini pies.\n\n>>Mini pies for 8 people = 4 $\\times$ 8 = {{{correctAnswer0}}}\n\n<br>∴ A group of 8 will be given {{{correctAnswer0}}} mini pies."}]},{"vars":[{"varval":"Using the table, a Little Athletics coordinator allocates points depending on the number of events a competitor completes.\n\n<br>\n\n<div class=\"sm-table row1-color5\">\n\n>>| Number of <br> events | Points <br> allocated| \n|:-:|:-:|\n| 2 | 6|\n| 4 | 12|\n| 6 | **?**|\n|8|24|\n\n</div>\n\n<br>Using the pattern in the table, how many points should a competitor completing 6 events receive?"},{"varval":"The pattern shows that each event receives\n 3 points.\n\n>>Points = 3 $\\times$ 6 = {{{correctAnswer0}}}\n\n<br>∴ A competitor completing 6 events will receive {{{correctAnswer0}}} points."}]}]

Algebra, NAP_10022 - 1fdf4327-b705-48f0-86ad-eca3f95d77cc - (August 14, 2023)

Patterns Number, NAPX-p110532v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Dean earns $20 in the first week of his casual job.\n\nHe then earns twice as much as he did the previous week for the next 4 weeks.\n\nDean's total earnings, in dollars, in any given week will be which of the following:"},{"varval":"1st week: $20 (even)\n\n2nd week: 20 + 40 = $60 (even)\n\n3rd week: 60 + 120 = $180 (even)\n\nAny week: even + even = even\n\n∴ Total amount is always an even number."}]},{"vars":[{"varval":"Bindera earns $9 in her first day selling homemade lemondade.\n\nShe then earns twice as much as she did the previous day for the next 4 days.\n\nBindera's total earnings, in dollars, on any given day will be which of the following:"},{"varval":"1st week: $9 (odd)\n\n2nd week: $9 + $18 = $27 (odd)\n\n3rd week: $27 + $54 = $81 (odd)\n\nAny week: odd + even = odd\n\n∴ Total amount is always an odd number."}]},{"vars":[{"varval":"TJ sells 3 watermelons on Monday.\n\nHe then sells twice as many as he did the previous day for the next 4 days.\n\nTJ's total sales on any given day will be which of the following:"},{"varval":"Monday: 3 (odd)\n\nTuesday: 3 + 6 = 9 (odd)\n\nWednesday: 9 + 18 = 27 (odd)\n\nAny week: odd + even = odd\n\n∴ Total amount is always an odd number."}]},{"vars":[{"varval":"Jimmy walks 4 kilometres on the first day of his fitness program.\n\nHe then walks twice as far as he did the previous day for the next 4 days.\n\nJimmy's total distance, in kilometres, on any given day will be which of the following:"},{"varval":"Day 1: 4 kms (even)\n\nDay 2: 4 + 8 = 12 kms (even)\n\nDay 3: 12 + 24 = 36 kms (even)\n\nAny day : even + even = even\n\n∴ Total distance is always an even number."}]},{"vars":[{"varval":"Justine deposits $7 in her money box.\n\nShe then deposits four times as much as she did the previous week for the next 4 weeks.\n\nJustine's total savings, in dollars, in any given week will be which of the following:"},{"varval":"1st week: $3 (odd)\n\n2nd week: 3 + 12 = $15 (odd)\n\n3rd week: 15 + 60 = $75 (odd)\n\n4th week: 75 + 300 = $75 (odd)\n\nAny week: odd + odd = odd\n\n∴ Total amount is always an odd number."}]},{"vars":[{"varval":"Pimm earns $10 in the first week of her casual job.\n\nShe then earns 4 times as much as she did the previous week for the next 4 weeks.\n\nPimm's total earnings, in dollars, in any given week will be which of the following:"},{"varval":"1st week: $10 (even)\n\n2nd week: 10 + 40 = $50 (even)\n\n3rd week: 50 + 200 = $250 (even)\n\nAny week: even + even = even\n\n∴ Total amount is always an even number."}]}]

Algebra, NAP_10021 - 3aa78f5a-ab24-415d-a191-9c8e013075d5 - (August 14, 2023)

Number, NAPX-p110532v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Arlo puts $22 into his piggy bank to start saving money.\n\nHe then puts $7 into the piggy bank at the end of each month.\n\nThe total amount of money in his piggy bank at the end of each month will be which of the following:"},{"varval":"Starting amount = $22 (even)\n\nEnd of 1st month = 22 + 7 = $29 (odd)\n\nEnd of 2nd month = 29 + 7 = $36 (even)\n\n$\\therefore$ Total amount will be either an odd or even number."}]},{"vars":[{"varval":"On Monday Newton harvests 8 pumpkins to sell at the markets.\n\nOn each of the following three days he harvests another 5 pumpkins.\n\nThe total of pumpkins he has ready for market at the end of each day will be which of the following:"},{"varval":"Starting number = 8 (even)\n\nEnd of Tuesday = 8 + 5 = 13 (odd)\n\nEnd of Wednesday = 13 + 5 = 18 (even)\n\nEnd of Thursday = 18 + 5 = 23 (odd)\n\n$\\therefore$ Total number of pumpkins will be either an odd or an even number."}]},{"vars":[{"varval":"Gretchen puts $80 into a savings account to start saving money.\n\nShe then puts $24 into the savings account at the end of each month.\n\nThe total amount of money in hers savings account at the end of each month will be which of the following:"},{"varval":"Starting amount = $80 (even)\n\nEnd of 1st month = 80 + 24 = $104 (even)\n\nEnd of 2nd month = 104 + 24 = $128 (even)\n\nEnd of 3rd month = 128 + 24 = $152 (even)\n\n$\\therefore$ Total amount will be always be an even number."}]},{"vars":[{"varval":"Brandon puts $100 into his savings account to start saving for a holiday.\n\nHe then puts $25 into the savings account at the end of each fortnight.\n\nThe total amount of money in his savings account at the end of each fortnight will be which of the following:"},{"varval":"Starting amount = $100 (even)\n\nEnd of 1st fortnight = 100 + 25 = $125 (odd)\n\nEnd of 2nd fortnight = 125 + 25 = $150 (even)\n\nEnd of 3rd fortnight = 150 + 25 = $175 (odd)\n\n$\\therefore$ Total amount will be either an odd or even number."}]},{"vars":[{"varval":"Midge puts $140 into her savings account to start saving money.\n\nShe then puts $50 into the savings account at the end of each month.\n\nThe total amount of money in Midge's savings account at the end of each month will be which of the following:"},{"varval":"Starting amount = $140 (even)\n\nEnd of 1st month = 140 + 50 = $190 (even)\n\nEnd of 2nd month = 190 + 50 = $240 (even)\n\nEnd of 3rd month = 240 + 50 = $290 (even)\n\n$\\therefore$ Total amount will always be an even number."}]},{"vars":[{"varval":"Jackie puts $25 into her piggy bank to start saving money.\n\nShe then puts $15 into the piggy bank at the end of each month.\n\nThe total amount of money in Jackie's piggy bank at the end of each month will be which of the following:"},{"varval":"Starting amount = $25 (odd)\n\nEnd of 1st month = 25 + 15 = $40 (even)\n\nEnd of 2nd month = 40 + 15 = $55 (odd)\n\n$\\therefore$ Total amount will be either an odd or even number."}]}]

Algebra, NAP_10010 - cf2642d2-4a13-401a-8dc9-26810dc6921f - (August 14, 2023)

Algebra, NAPX-F1-10 (363 difficulty)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This repeating pattern is made by turning a square tile.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10020v0q-min.svg 500 indent vpad\n\nWhich of these tiles comes next in this pattern?"},{"varval":"The square is turned clockwise 90 degrees each time.\n\n$\\therefore$ The next tile in the pattern is:\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"This repeating pattern is made by turning a square tile.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10020v1.svg 500 indent vpad\n\nWhich of these tiles comes next in this pattern?"},{"varval":"The square is turned clockwise 90 degrees each time.\n\n$\\therefore$ The next tile in the pattern is:\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"This repeating pattern is made by turning a square tile.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10020v2q.svg 500 indent vpad\n\nWhich of these tiles comes next in this pattern?"},{"varval":"The square is turned clockwise 90 degrees each time.\n\n$\\therefore$ The next tile in the pattern is:\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"This repeating pattern is made by turning a square tile.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10020v3q.svg 500 indent vpad\n\nWhich of these tiles comes next in this pattern?"},{"varval":"The square is turned anti-clockwise 90 degrees each time.\n\n$\\therefore$ The next tile in the pattern is:\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"This repeating pattern is made by turning a square tile.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10020v4q.svg 500 indent vpad\n\nWhich of these tiles comes next in this pattern?"},{"varval":"The square is turned anti-clockwise 90 degrees each time.\n\n$\\therefore$ The next tile in the pattern is:\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"This repeating pattern is made by turning a square tile.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10020v5q.svg 500 indent vpad\n\nWhich of these tiles comes next in this pattern?"},{"varval":"The square is turned anti-clockwise 90 degrees each time.\n\n$\\therefore$ The next tile in the pattern is:\n\n{{{correctAnswer}}}\n"}]}]

Statistics, NAP_50015 - 5e61c8c8-6826-43fc-9c76-5f994f200234 - (August 09, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table below shows the distances thrown by javelin competitors at the athletics carnival.\n\n<div class=\"sm-table row1-color1 heading-color1\">\n\n>>**Javelin Competition**\n\n>>| **Name** | **Distance in Metres** |\n|:-:|:-:|\n| James | 15 |\n| Allen | 12 |\n| Will | 8 |\n| Kenji | 13 |\n| Owen | 9 |\n\n</div>\n\n<br>What is the difference between the longest throw and the shortest throw?"},{"varval":"sm_nogap Difference between longest and shortest throw\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 15 $-$ 8|\n| \\= {{{correctAnswer}}} metres |\n\n</div>"}]},{"vars":[{"varval":"The table below shows the masses of dogs who weighed in at the vet's on Saturday.\n\n<div class=\"sm-table row1-color2 heading-color2\">\n\n>>**Dog Weigh In**\n\n>>| **Dog** | **Mass in Kilograms** |\n|:-:|:-:|\n| Spot | 24 |\n| Brutus | 59 |\n| Jack | 16 |\n| Bella | 48 |\n| Callie | 37 |\n\n</div>\n\n<br>What is the difference, in kilograms, between the heaviest dog and the lightest dog?"},{"varval":"sm_nogap Difference between heaviest and lightest dog\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 59 $-$ 16|\n| \\= {{{correctAnswer}}} kilograms |\n\n</div>"}]},{"vars":[{"varval":"The table below shows the number of donuts sold at a cafe on different days.\n\n<div class=\"sm-table row1-color3 heading-color3\">\n\n>>**Donut Sales**\n\n>>| **Day** | **Number of Donuts** |\n|:-:|:-:|\n| Monday | 56 |\n| Tuesday | 47 |\n| Wednesday| 29 |\n| Thursday | 74 |\n| Friday | 61 |\n\n</div>\n\n<br>What is the difference in the number of donuts sold on Wednesday compared to Thursday?"},{"varval":"sm_nogap Difference in number of donuts sold\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 74 $-$ 29|\n| \\= 74 $-$ 20 $-$ 9 |\n| \\= 54 $-$ 9 |\n| \\= {{{correctAnswer}}} donuts |\n\n</div>"}]},{"vars":[{"varval":"The table below shows the number of cupcakes sold at a cafe on different days.\n\n<div class=\"sm-table row1-color4 heading-color4\">\n\n>>**Cupcake Sales**\n\n>>| **Day** | **Number of Cupcakes** |\n|:-:|:-:|\n| Wednesday| 34 |\n| Thursday | 27 |\n| Friday | 42 |\n| Saturday | 51 |\n| Sunday | 35 |\n</div>\n\n<br>How many cupcakes were sold in total on Friday and Saturday?"},{"varval":"sm_nogap Total sold on Friday and Saturday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 42 + 51|\n| \\= {{{correctAnswer}}} cupcakes |\n\n</div>"}]},{"vars":[{"varval":"The table below shows the number of pies sold at a bakery last week.\n\n<div class=\"sm-table row1-color5 heading-color5\">\n\n>>**Pie Sales**\n\n>>| **Day** | **Number of Pies** |\n|:-:|:-:|\n| Monday| 71 |\n| Tuesday| 83 |\n| Wednesday| 67 |\n| Thursday | 59 |\n| Friday | 89 |\n| Saturday | 54 |\n| Sunday | 36 |\n</div>\n\n<br>How many pies were sold in total on Wednesday and Saturday?"},{"varval":"sm_nogap Total sold on Wednesday and Saturday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 67 + 54|\n| \\= 60 + 7 + 50 + 4|\n| \\= 110 + 11|\n| \\= {{{correctAnswer}}} pies|\n\n</div>"}]},{"vars":[{"varval":"The table below shows the number of soccer boots sold at an online sports store last week.\n\n<div class=\"sm-table row1-color6 heading-color6\">\n\n>>**Soccer Boot Sales**\n\n>>| **Day** | **Number of Pairs** |\n|:-:|:-:|\n| Monday| 15 |\n| Tuesday| 22 |\n| Wednesday| 17 |\n| Thursday | 30 |\n| Friday | 28 |\n| Saturday | 42 |\n| Sunday | 18 |\n</div>\n\n<br>How many pairs of soccer boots were sold in total on Monday, Tuesday and Wednesday?"},{"varval":"sm_nogap Total sold on Monday, Tuesday and Wednesday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 15 + 22 + 17|\n| \\= 10 + 5 + 20 + 2 + 10 + 7|\n| \\= 40 + 14|\n| \\= {{{correctAnswer}}} soccer boots |\n\n</div>"}]}]

Statistics, NAP_50013 - a8873729-70a2-4f78-b01a-c3df93b1deb4 - (August 09, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sandra walks her dog around the local park every afternoon.\n\nThe table below shows the number of laps she and her dog walked over the last 5 days.\n\n<div class=\"sm-table col1-color3\">\n\n>>| **Day** |Monday|Tuesday|Wednesday|Thursday|Friday|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n|**Laps** | 2|3|3|0|1|\n\n</div>\n\n<br>\n<div class=\"sm-table col1-color3\">\n\n>>|**1 Lap = 3 kilometres** |\n|:-:|\n\n</div>\n\n<br>What is the total distance Sandra and her dog walked on Wednesday afternoon?"},{"varval":"sm_nogap Kilometres walked on Wednesday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 3 $\\times$ 3 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The table below shows the number of laps of the bay Kinglsey paddled his kayak last week.\n\n<div class=\"sm-table row1-color2\">\n\n>>| **Day** |**Laps**|\n|:-:|:-:|\n|Wednesday | 1|\n|Thursday | 3|\n|Friday | 2|\n|Saturday | 4|\n|Sunday | 2|\n\n</div>\n<br>\n<div class=\"sm-table col1-color2\">\n\n>>|**1 Lap = 2 kilometres** |\n|:-:|\n\n</div>\n\n<br>What is the total distance, in kilometres, Kingsley paddled his kayak on Wednesday and Thursday last week?"},{"varval":"sm_nogap Kilometres kayaked on Wednesday and Thursday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 2 $\\times$ (total laps) |\n| \\= 2 $\\times$ (1 + 3) |\n| \\= 2 $\\times$ 4 |\n| \\= {{{correctAnswer}}} kilometres|\n\n</div>\n"}]},{"vars":[{"varval":"The table below shows the number of Park Runs Bligh ran over a six month period.\n\n<div class=\"sm-table row1-color4\">\n\n>>| **Day** |**Laps**|\n|:-:|:-:|\n|September | 1|\n|October | 2|\n|November | 3|\n|December | 2|\n|January | 4|\n|February | 3|\n\n</div>\n<br>\n<div class=\"sm-table col1-color4\">\n\n>>|**1 Park Run = 5 kilometres** |\n|:-:|\n\n</div>\n\n<br>What is the total distance, in kilometres, Bligh ran during November and January?"},{"varval":"sm_nogap Kilometres run on November and January\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 5 $\\times$ (total park runs) |\n| \\= 5 $\\times$ (3 + 4) |\n| \\= 5 $\\times$ 7 |\n| \\= {{{correctAnswer}}} kilometres |\n\n</div>\n"}]},{"vars":[{"varval":"The table below shows the number of bunches of flowers that a florist made last week.\n\n<div class=\"sm-table row1-color5\">\n\n>>| **Day** |**Bunches of Flowers**|\n|:-:|:-:|\n|Monday | 9|\nTuesday | 5|\n|Wednesday | 12|\n|Thursday | 15|\n|Friday | 21|\n|Saturday | 18|\n\n\n</div>\n<br>\n<div class=\"sm-table col1-color5\">\n\n>>|**1 Bunch = 10 flowers** |\n|:-:|\n\n</div>\n\n<br>What is the total number of flowers used in the bunches made on Monday and Tuesday?"},{"varval":"sm_nogap Flowers used on Monday and Tuesday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 10 $\\times$ (total bunches) |\n| \\= 10 $\\times$ (9 + 5) |\n| \\= 10 $\\times$ 14 |\n| \\= {{{correctAnswer}}} flowers |\n\n</div>\n"}]},{"vars":[{"varval":"The table below shows the number of exercise classes Tia attended last week.\n\n<div class=\"sm-table row1-color6\">\n\n>>| **Day** |**Exercise Classes**|\n|:-:|:-:|\n|Monday | 2|\nTuesday | 3|\n|Wednesday | 1|\n|Thursday | 2|\n|Friday | 1|\n|Saturday | 3|\n\n\n</div>\n<br>\n<div class=\"sm-table col1-color6\">\n\n>>|**1 Exercise Class = 30 minutes** |\n|:-:|\n\n</div>\n\n<br>What is the total number of minutes that Tia exercised for on Monday, Wednesday and Friday?"},{"varval":"sm_nogap Minutes exercise on Monday, Wednesday and Friday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 30 $\\times$ (total classes) |\n| \\= 30 $\\times$ (2 + 1 +1) |\n| \\= 30 $\\times$ 4 |\n| \\= {{{correctAnswer}}} minutes |\n\n</div>"}]},{"vars":[{"varval":"The table below shows the number of boxes of apples that Jonathon packed last week.\n\n<div class=\"sm-table row1-color8\">\n\n>>| **Day** |**Boxs of Apples**|\n|:-:|:-:|\n|Monday | 21|\nTuesday | 35|\n|Wednesday | 18|\n|Thursday | 30|\n|Friday | 25|\n\n\n\n</div>\n<br>\n<div class=\"sm-table col1-color8\">\n\n>>|**1 Box = 100 apples** |\n|:-:|\n\n</div>\n\n<br>What is the total number of apples Jonathon packed on Tuesday and Friday?"},{"varval":"sm_nogap Apples packed on Tuesday and Friday\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 100 $\\times$ (total boxes) |\n| \\= 100 $\\times$ (35 + 25) |\n| \\= 100 $\\times$ 60 |\n| \\= {{{correctAnswer}}} apples |\n\n</div>"}]}]

Statistics, NAP_50011 - b89f1d33-1587-4c11-9010-aacaf9856ff4 - (August 09, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The graph below shows the times Kerry spent, in minutes, performing different exercises at the gym over the last fortnight.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_50011_v0-min.svg 380 indent2 vpad\n\nHow many minutes in total did Kerry spend cycling and walking?"},{"varval":"sm_nogap Total time spent Cycling and Walking\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 90 + 60 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The graph below shows the times Kerry spent, in minutes, performing different exercises at the gym over the last fortnight.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_50011_v0-min.svg 380 indent2 vpad\n\nHow many more minutes did Kerry spend doing HIIT than rowing?"},{"varval":"sm_nogap Difference between HIIT and rowing\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 75 $-$ 40 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The graph below shows the outdoor activities chosen by students at the Year 7 camp.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_50011_v2.svg 380 indent2 vpad\n\nHow many students in total chose either high ropes or abseiling?"},{"varval":"sm_nogap Total High Ropes and Abseiling\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 9 + 12 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The graph below shows the outdoor activities chosen by students at the Year 7 camp.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_50011_v2.svg 380 indent2 vpad\n\nHow many more students chose the Giant Swing than Hiking?"},{"varval":"sm_nogap Difference between Giant Swing and Hiking\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 24 $-$ 15 |\n| \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"The graph below shows the favourite subjects of a group of 100 students.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_50011_v4-min.svg 480 indent2 vpad\n\nHow many students in total chose either Technology or English as their favourite subject?"},{"varval":"sm_nogap Total Technology and English\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 10 + 13 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The graph below shows the favourite subjects of a group of 100 students.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_50011_v4-min.svg 480 indent2 vpad\n\nHow many more students chose Maths as their favourite subject than History?"},{"varval":"sm_nogap Difference between Maths and History\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 19 $-$ 9 |\n| \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Statistics, NAP_20051 - 41c1ba27-08be-4c58-9854-dcd569ed5304 - (August 07, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Beenie recorded her classmates favourite colour in a table.\n\n<div class=\"sm-table col1-color1\">\n\n>>| **Colour** | Red| Blue|Green |Other|\n|:-:|:-:|:-:|:-:|:-:|\n|**Number** | 14|5|8|2|\n\n</div>\n\n<br>She then drew a graph to represent the information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20051_v0a-min.svg 420 indent vpad\n\nBeenie has made a mistake in her graph. Which colour is recorded incorrectly?\n\n\n\n"},{"varval":"{{{correctAnswer}}} is drawn incorrectly with a height of 4."}]},{"vars":[{"varval":"Robin recorded the training distances he ran last month in a table.\n\n<div class=\"sm-table col1-color8\">\n\n>>| **Distance** | 5 km| 10 km|15 km|20 km|\n|:-:|:-:|:-:|:-:|:-:|\n|**Number of Runs** | 7|11|2|4|\n\n</div>\n\n<br>He then drew a graph to represent the information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20051_v1-min.svg 420 indent vpad\n\nRobin has made a mistake in his graph. Which distance is recorded incorrectly?\n\n\n\n"},{"varval":"{{{correctAnswer}}} is drawn incorrectly with a height of 8."}]},{"vars":[{"varval":"Melissa recorded the services she performed at her hair dressing studio on Friday and Saturday.\n\n<div class=\"sm-table col1-color3\">\n\n>>| **Service** | Wash|Cut|Blow Dry|Colour|\n|:-:|:-:|:-:|:-:|:-:|\n|**Number** | 12|8|15|7|\n\n</div>\n\n<br>She then drew a graph to represent the information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20051_v2-min-1.svg 420 indent vpad\n\nMelissa has made a mistake in her graph. Which service is recorded incorrectly?"},{"varval":"{{{correctAnswer}}} is drawn incorrectly with a height of 17."}]},{"vars":[{"varval":"Ping recorded the fish he caught over the last month.\n\n<div class=\"sm-table col1-color5\">\n\n>>| **Fish Type** | Bream|Whiting|Flathead|Tailor|\n|:-:|:-:|:-:|:-:|:-:|\n|**Number** | 11|9|10|13|\n\n</div>\n\n<br>He then drew a graph to represent the information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20051_v3a.svg 420 indent vpad\n\nPing has made a mistake in his graph. Which fish type is recorded incorrectly?"},{"varval":"{{{correctAnswer}}} is drawn incorrectly with a height of 14."}]}]

Statistics, NAP_30081 - 147685cc-bde0-415e-96e8-5f2f506f1237 - (August 07, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This graph shows the number of cars cleaned at Shining Car Wash last week.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_30081v0-min.svg 500 indent vpad\n\nHow many more cars were cleaned on Wednesday than on Tuesday?\n"},{"varval":"<div class=\"aligned\">\n\n>| | \n|--------|\n| Cars cleaned on Wednesday = 6 $\\times$ 6 = 36|\n| Cars cleaned on Tuesday = 6 $\\times$ 3 + 6 $\\times$ $\\frac{1}{2}$ = 21|\n| Difference = 36 $-$ 21 = {{{correctAnswer}}}|\n\n</div>\n<br>Therefore, there were {{{correctAnswer}}} more cars cleaned on Wednesday.\n"}]},{"vars":[{"varval":"This graph shows the number of cars cleaned at Shining Car Wash last week.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_30081v0-min.svg 500 indent vpad\n\nHow many cars were cleaned altogether last week?"},{"varval":"<div class=\"aligned\">\n\n>| | | \n|-:|:|\n| Total cars cleaned| = 6 $\\times$ (4.5 + 3.5 + 6 + 4 + 5.5)|\n| |= 6 $\\times$ 23.5 |\n| |= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"This graph shows the number of babies who attended Funtimes Daycare last week.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_30081v1b-min.svg 400 indent vpad\n\nHow many more babies attended on Friday than on Wednesday?"},{"varval":"<div class=\"aligned\">\n\n>| | \n|--------|\n| Babies who attended on Friday = 4 $\\times$ 6 = 24|\n| Babies who attended on Wednesday = 4 $\\times$ 3 = 12|\n| Difference = 24 $-$ 12 = {{{correctAnswer}}}|\n\n</div>\n<br>Therefore, {{{correctAnswer}}} more babies attended on Friday."}]},{"vars":[{"varval":"This graph shows the number of babies who attended Funtimes Daycare last week.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_30081v1b-min.svg 400 indent vpad\n\nHow many babies attended in total last week?"},{"varval":"<div class=\"aligned\">\n\n>| | | \n|-:|:|\n| Total babies| = 4 $\\times$ (4 + 5 + 3 + 5 + 6)|\n| |= 4 $\\times$ 23 |\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"This graph shows the number of dogs groomed at K-Nine's grooming last week.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_30081v5-min.svg 500 indent vpad\n\nHow many more dogs were groomed on Thursday than on Monday?"},{"varval":"<div class=\"aligned\">\n\n| | \n|--------|\n| Dogs groomed on Thursday = 8 $\\times$ 6 = 48|\n| Dogs groomed on Monday = 8 $\\times$ 2 = 16|\n| Difference = 48 $-$ 16 = {{{correctAnswer}}}|\n\n</div>\n<br>Therefore, there were {{{correctAnswer}}} more dogs groomed on Thursday."}]},{"vars":[{"varval":"This graph shows the number of dogs groomed at K-Nine's grooming last week.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_30081v5-min.svg 500 indent vpad\n\nHow many dogs were groomed in total last week?"},{"varval":"<div class=\"aligned\">\n\n>| | | \n|-:|:|\n| Total dogs groomed| = 8 $\\times$ (2 + 5 + 3 + 6 + 4)|\n| |= 8 $\\times$ 20 |\n| |= {{{correctAnswer}}}|\n\n</div>"}]}]

Statistics, NAP_20071 - 1d4c65aa-e5f2-4fe1-af44-c84e83423d23 - (August 07, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Nataya had a market stall selling cookies.\n\nThe graph below shows how many of each type of cookie she sold.\n\nChocolate chip cookies were the most popular.\n\nCoconut were less popular than blueberry but more popular than choc mint.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20071_v0-min.svg 350 indent2 vpad\n\nWhich column on the graph represents blueberry cookies?"},{"varval":"From the information given, the order of popularity is:\n\n1. >Chocolate chip (favourite)\n2. >Blueberry\n3. >Coconut (not as popular as Blueberry but more than choc mint)\n4. >Choc mint\n\nTherefore, **{{{correctAnswer}}}** represents blueberry cookies.\n\n"}]},{"vars":[{"varval":"Sanjay sold comics at the markets on the weekend.\n\nThe graph below shows how many of each type of comic he sold.\n\nStar Wars comics were the least popular.\n\nSpiderman comics were less popular than Marvel Universe but more popular than The Hulk.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20071_v1-min.svg 350 indent2 vpad\n\nWhich column on the graph represents Spiderman comics?"},{"varval":"From the information given, the order of popularity is:\n\n1. >Marvel Universe\n2. >Spiderman (not as popular as Marvel Universe but more than The Hulk)\n3. >The Hulk\n4. >Star Wars (least popular)\n\nTherefore, **{{{correctAnswer}}}** represents Spiderman comics.\n"}]},{"vars":[{"varval":"A group of teenagers were surveyed to find out their favourite sports.\n\nThe graph below shows the results of the survey listing the four most popular sports.\n\nSoccer was the most popular.\n\nNetball was less popular than basketball but more popular than baseball.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20071_v2-min.svg 350 indent2 vpad\n\nWhich column on the graph represents netball?"},{"varval":"From the information given, the order of popularity is:\n\n1. >Soccer (most popular)\n2. >Basketball\n3. >Netball (not as popular as basketball but more than baseball )\n4. >Baseball\n\nTherefore, **{{{correctAnswer}}}** represents netball.\n"}]},{"vars":[{"varval":"Jocelyn sold fruit at the markets on the weekend.\n\nThe graph below shows how many of each type of fruit she sold.\n\nApples were the least popular.\n\nBananas were the less popular than pears but more popular than oranges.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20071_v3-min.svg 350 indent2 vpad\n\nWhich column on the graph represents pears?"},{"varval":"From the information given, the order of popularity is:\n\n1. >Pears \n2. >Bananas(not as popular as Pears but more popular than oranges)\n3. >Oranges \n4. >Apples (least favourite)\n\nTherefore, **{{{correctAnswer}}}** represents pears.\n"}]},{"vars":[{"varval":"Jake was sorting coins from his moneybox.\n\nThe graph below shows how many of each type of coin he had.\n\nHe had more $2 coins than any other coin.\n\nThe number of 50 cent coins was more than $1 coins but less than 20 cent coins.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20071_v4-min.svg 350 indent2 vpad\n\nWhich column on the graph represents $1 coins?"},{"varval":"From the information given the order of popularity is:\n\n1. >$2 coins (Most)\n2. >20 cent\n3. >50 cent (more than $1 coins but less than 20 cent coins)\n4. >$1 coins\n\nTherefore, **{{{correctAnswer}}}** represents $1 coins.\n"}]},{"vars":[{"varval":"Marlon went fishing on the weekend.\n\nHe recorded the number of each type of fish he caught in the graph below.\n\nHe caught more bream than any other type of fish.\n\nTailor numbered more than flathead but not as many as snapper.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_20071_v5-min.svg 350 indent2 vpad\n\nWhich column on the graph represents tailor?"},{"varval":"From the information given the order of popularity is:\n\n1. >Bream (most)\n2. >Snapper\n3. >Tailor (more than flathead but not as many as snapper)\n4. >Flathead\n\nTherefore, **{{{correctAnswer}}}** represents tailor.\n"}]}]

Statistics, NAP_10031 - 9b07f2a2-6cff-4f4e-814e-9fb7907717ba - (August 06, 2023)

SJ Tables

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Three families flew from Melbourne to Queensland for a holiday.\n\nEach person was allowed to carry 21 kilograms of luggage.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v0a-min.svg 330 indent2 vpad\n\n<br>Which family took more than 21 kilograms of luggage per person?\n"},{"varval":"Checking each Option\n\n\nsm_nogap > Option 1: Wilmott allowed baggage = 21 $\\times$ 3 = 63 kg $\\checkmark$\n\n>Option 2: Bergen allowed baggage = 21 $\\times$ 2 = 42 kg $\\checkmark$\n\n>Option 3: Tran allowed baggage = 21 $\\times$ 5 = 105 kg (5 kg overweight)\n\n>Option 2: O'Brien allowed baggage = 21 $\\times$ 4 = 84 kg $\\checkmark$\n\n\n<br>Therefore, the {{{correctAnswer}}} family took more than 21 kg of luggage per person.\n\n"}]},{"vars":[{"varval":"Four groups of friends caught the Indian Pacific train from Sydney to Perth for a holiday.\n\nEach person was allowed to carry 25 kilograms of luggage.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v1a-min.svg 330 indent2 vpad\n\n<br>Which group took more than 25 kilograms of luggage per person?\n"},{"varval":"Checking each Option\n\n\nsm_nogap > Option 1: Group 1 allowed baggage = 25 $\\times$ 5 = 125 kg $\\checkmark$\n\n>Option 2: Group 2 allowed baggage = 25$\\times$ 2 = 50 kg $\\checkmark$\n\n>Option 3: Group 3 allowed baggage = 25 $\\times$ 3 = 75 kg $\\checkmark$\n\n>Option 2: Group 4 allowed baggage = 25 $\\times$ 4 = 100 kg (5 kg overweight)\n\n\n\n<br>Therefore, {{{correctAnswer}}} took more than 25 kg of luggage per person.\n"}]},{"vars":[{"varval":"Four families were travelling by plane to England.\n\nEach person was able to carry a maximum of 7 kilograms of hand luggage.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v2-min.svg 430 indent2 vpad\n\n<br>Which family took more than 7 kilograms of hand luggage per person?\n"},{"varval":"Checking each Option\n\n\nsm_nogap > Option 1: Miscevski family allowed hand luggage = 7 $\\times$ 5 = 35kg $\\checkmark$\n\n>Option 2: Smith family allowed hand luggage = 7 $\\times$ 8 = 56 kg $\\checkmark$\n\n>Option 3: Barnes family allowed hand luggage = 7 $\\times$ 3 = 21 kg (1 kg overweight)\n\n>Option 2: McWilliams family allowed hand luggage = 7 $\\times$ 6 = 42 kg $\\checkmark$\n\n\n\n<br>Therefore, the {{{correctAnswer}}} family took more than 7 kg of hand luggage per person.\n"}]},{"vars":[{"varval":"A company uses 4 barges to transport goods in containers across a river.\n\nEach container can carry a maximum of 600 kilograms.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10031v3a-min.svg 430 indent2 vpad\n\n<br>Which barge had containers holding more than 600 kilograms per container?\n"},{"varval":"Checking each Option\n\n\nsm_nogap > Option 1: Barge 1 allowed container mass = 600 $\\times$ 3 = 1800 kg (100 kg overweight)\n\n>Option 2: Barge 2 allowed container mass = 600 $\\times$ 2 = 1200 kg $\\checkmark$\n\n>Option 3: Barge 3 allowed container mass = 600 $\\times$ 4 = 2400 kg $\\checkmark$\n\n>Option 2: Barge 4 allowed container mass = 600 $\\times$ 1 = 600 kg $\\checkmark$\n\n\n\n<br>Therefore, {{{correctAnswer}}} had containers holding more than 600 kg per container."}]}]

Probability, NAP_10021 - 5042a46c-770c-4f9c-8b7e-d3e9da0b2055 - (August 04, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following pairs of spinners have the same chance of landing on the coloured section?"},{"varval":"Counting the coloured sections:\n\n<div class=\"sm_img_inline\">\n\n>Option 1\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-2-x-5-min.svg 200 indent vpad\n\n>Spinner 1 has 5 sections coloured\n\n>Spinner 2 has 5 sections coloured\n\n<br>\n\n>Option 2\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-5b-x-4b.svg 200 indent2 vpad \n\n>Spinner 1 has 5 sections coloured\n\n>Spinner 2 has 4 sections coloured\n\n<br>\n\n>Option 3\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-3-x-5a.svg 200 indent2 vpad \n\n>Spinner 1 has 3 sections coloured\n\n>Spinner 2 has 5 sections coloured\n\n\n<br>\n\n>Option 4\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-2a-x-6.svg 200 indent2 vpad \n\n>Spinner 1 has 2 sections coloured\n\n>Spinner 2 has 6 sections coloured\n\n<br>\n\n>Therefore, Option 1 spinners have the same chance of landing on\n\n>the coloured sections as they both have 5 sections coloured.\n\n</div>\n\n\n"}]},{"vars":[{"varval":"Which of the following pairs of spinners have the same chance of landing on the coloured section?"},{"varval":"Counting the coloured sections:\n\n<div class=\"sm_img_inline\">\n\n>Option 1\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-2a-x-6.svg 250 indent2 vpad \n\n>Spinner 1 has 2 sections coloured\n\n>Spinner 2 has 6 sections coloured\n\n<br>\n\n>Option 2\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-4-x-4b.svg 250 indent2 vpad \n\n>Spinner 1 has 4 sections coloured\n\n>Spinner 2 has 4 sections coloured\n\n<br>\n\n>Option 3\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-3-x-5a.svg 250 indent2 vpad \n\n>Spinner 1 has 3 sections coloured\n\n>Spinner 2 has 5 sections coloured\n\n\n<br>\n\n>Option 4\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-5b-x-4b.svg 250 indent2 vpad \n\n>Spinner 1 has 5 sections coloured\n\n>Spinner 2 has 4 sections coloured\n\n<br>\n\n>Therefore, Option 2 spinners have the same chance of landing on\n\n>the coloured sections as they both have 4 sections coloured.\n\n</div>\n"}]},{"vars":[{"varval":"Which of the following pairs of spinners have the same chance of landing on the coloured section?"},{"varval":"Counting the coloured sections:\n\n<div class=\"sm_img_inline\">\n\n>Option 1\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-5b-x-4b.svg 200 indent2 vpad \n\n>Spinner 1 has 5 sections coloured\n\n>Spinner 2 has 4 sections coloured\n\n<br>\n\n>Option 2\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-2a-x-6.svg 200 indent2 vpad \n\n>Spinner 1 has 2 sections coloured\n\n>Spinner 2 has 6 sections coloured\n\n<br>\n\n>Option 3\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-3-x-2.svg 200 indent2 vpad \n\n>Spinner 1 has 3 sections coloured\n\n>Spinner 2 has 2 sections coloured\n\n\n<br>\n\n>Option 4\n\n<br>\n\n>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/spinner-8-3-x-3a.svg 200 indent2 vpad \n\n>Spinner 1 has 3 sections coloured\n\n>Spinner 2 has 3 sections coloured\n\n<br>\n\n>Therefore, Option 4 spinners have the same chance of landing on\n\n>the coloured sections as they both have 3 sections coloured.\n\n</div>\n"}]}]

Probability, NAP_10011 - 7dfb48f4-4d22-41e1-84c8-e02d8a418354 - (August 03, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"These identical coloured discs were in a bag.\n\nBrandon selected one disc.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-12-min.svg 220 indent2 vpad \n\nWhich is the colour that is most likely to be selected by Brandon?\n"},{"varval":"Counting the discs of each type:\n\n<div class=\"sm_img_inline\">\n\n>5 $\\times$ \n\n<br>\n\n>4 $\\times$ \n\n<br>\n\n>3 $\\times$ \n\n<br>\n\n>Option 4 is incorrect as there are different numbers of each colour.\n\n<br>Therefore,  is most likely.\n\n</div>"}]},{"vars":[{"varval":"These identical coloured discs were in a bag.\n\nEli selected one disc.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-12-min.svg 220 indent2 vpad \n\nWhich is the colour that is least likely to be selected by Eli?\n"},{"varval":"Counting the discs of each type:\n\n<div class=\"sm_img_inline\">\n\n>5 $\\times$ \n\n<br>\n\n>4 $\\times$ \n\n<br>\n\n>3 $\\times$ \n\n<br>\n\n>Option 4 is incorrect as there are different numbers of each colour.\n\n<br>\n\nTherefore,  is least likely.\n\n</div>"}]},{"vars":[{"varval":"These identical numbered discs were in a bag.\n\nLivvy selected one disc.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad \n\nWhat is the chance that the disc Livvy selected is an even number?\n"},{"varval":"Counting the discs of each type:\n\n<div class=\"sm_img_inline\">\n\n>Even Numbers:\n\n<br>\n\n>3 $\\times$  \n\n<br>\n\n>4 $\\times$ \n\n<br>\n\n>1 $\\times$  \n\n<br>\n\n>2 $\\times$ \n\n<br>\n\n>>Total number of even numbers is 10.\n\n<br>\n\n>Odd Numbers:\n\n<br>\n\n>3 $\\times$  \n\n<br>\n\n>2 $\\times$ \n\n<br>\n\n>3 $\\times$  \n\n<br>\n\n>2 $\\times$ \n\n<br>\n\n>>Total number of odd numbers is 10.\n\n</div>\n\n<br>\n\n>Therefore, the chance that an odd number is selected is {{correctAnswer}}."}]},{"vars":[{"varval":"These identical numbered discs were in a bag.\n\nManni selected one disc.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad \n\nWhat is the chance that the disc Manni selected is an odd number?"},{"varval":"Counting the discs of each type:\n\n<div class=\"sm_img_inline\">\n\n>Even Numbers:\n\n<br>\n\n>3 $\\times$  \n\n<br>\n\n>4 $\\times$ \n\n<br>\n\n>1 $\\times$  \n\n<br>\n\n>2 $\\times$ \n\n<br>\n\n>>Total number of even numbers is 10.\n\n<br>\n\n>Odd Numbers:\n\n<br>\n\n>3 $\\times$  \n\n<br>\n\n>2 $\\times$ \n\n<br>\n\n>3 $\\times$  \n\n<br>\n\n>2 $\\times$ \n\n<br>\n\n>>Total number of odd numbers is 10.\n\n</div>\n\n<br>\n\n>Therefore, the chance that an odd number is selected is {{correctAnswer}}."}]},{"vars":[{"varval":"These identical numbered discs were in a bag.\n\nGay selected one disc.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad \n\nWhat is the chance that the disc Gay selected had a 7 on it?"},{"varval":"The discs have the following numbers:\n\n<div class=\"sm_img_inline\">\n\n<br>\n\n>> \n \n\n \n\n  \n\n\n<br>\n\n>There are no discs with a 7 on them\n\n</div>\n\n<br>\n\nTherefore, the chance that a disc with a 7 on it is selected is {{correctAnswer}}."}]},{"vars":[{"varval":"These identical numbered discs were in a bag.\n\nJulio selected one disc.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/discs-numbered-20.svg 220 indent2 vpad \n\nWhat is the chance that the disc Julio selected is a number less than 10?"},{"varval":"All the discs have numbers less than ten.\n\n<div class=\"sm_img_inline\">\n\n<br>\n\n>> \n \n\n \n\n  \n\n\n<br>\n\n</div>\n\nTherefore, the chance of a number being selected that is less than 10 is {{{correctAnswer}}}."}]}]

Statistics, NAP_10011 - 44d1a5c5-a63e-4e8f-9d93-730bbf38490e - (August 03, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A group of students tallied the different types of pets they owned.\n\nA table of their responses is shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_pets-min.svg 280 indent2 vpad\n\n<br>How many students own a cat?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_pets-ws-min.svg 350 indent2 vpad\n\nTherefore, {{{correctAnswer}}} children own a cat.\n"}]},{"vars":[{"varval":"A group of students tallied the different types of pets they owned.\n\nA table of their responses is shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_pets-min.svg 280 indent2 vpad\n\n<br>How many more cats were owned that fish?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_pets-ws-min.svg 350 indent2 vpad\n\nsm_nogap Difference between cats and fish\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 12 $-$ 6 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n\n\n"}]},{"vars":[{"varval":"A group of students tallied the different types of pets they owned.\n\nA table of their responses is shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_pets-min.svg 280 indent2 vpad\n\n<br>How many pets were owned in total?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_pets-ws-min.svg 350 indent2 vpad\n\nsm_nogap Total pets owned\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 8 + 12 + 6 + 2 + 1 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"A group of students tallied the different types of cars that passed the school during a 10 minute period.\n\nA table of their responses is shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_car-min.svg 280 indent2 vpad\n\n<br>How many Kia cars passed the school in the 10 minute period?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_car_ws-min.svg 350 indent2 vpad\n\nTherefore, {{{correctAnswer}}} Kia cars passed the school in the 10 minute period.\n"}]},{"vars":[{"varval":"A group of students tallied the different types of cars that passed the school during a 10 minute period.\n\nA table of their responses is shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_car-min.svg 280 indent2 vpad\n\n<br>How many more Ford cars passed the school than Hyundai cars?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_car_ws-min.svg 350 indent2 vpad\n\nsm_nogap Difference between Ford and Hyundai\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 15 $-$ 9 |\n| \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A group of students tallied the different types of cars that passed the school during a 10 minute period.\n\nA table of their responses is shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_car-min.svg 280 indent2 vpad\n\n<br>How many cars in total passed the school in the 10 minute period?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Statistics-NAP_10011_car_ws-min.svg 350 indent2 vpad\n\nsm_nogap Total pets owned\n\n<div class=\"aligned\">\n\n>> | |\n| ---------- |\n| \\= 15 + 12 + 9 + 14 |\n| \\= {{{correctAnswer}}} |\n\n</div>\n"}]}]

Number, NAP_11001 - 441ef0ff-21d1-4a8a-9419-cc05a5f6f99c - (August 01, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Complete the number sentence\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 65 $-$ 24 |\n| | \\= 65 $-$ 20 $-$ 4 |\n| | \\= 45 $-$ 4 |\n| | \\= {{{correctAnswer0}}} |\n\n\n</div>\n\n"}]},{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 39 $-$ 13 |\n| | \\= 39 $-$ 10 $-$ 3 |\n| | \\= 29 $-$ 3 |\n| | \\= {{{correctAnswer0}}} |\n\n\n</div>\n"}]},{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 78 $-$ 43 |\n| | \\= 78 $-$ 40 $-$ 3 |\n| | \\= 38 $-$ 3 |\n| | \\= {{{correctAnswer0}}} |\n\n\n</div>\n"}]},{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 84 $-$ 55 |\n| | \\= 84 $-$ 50 $-$ 5 |\n| | \\= 34 $-$ 5 |\n| | \\= {{{correctAnswer0}}} |\n\n\n</div>\n"}]},{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 92 $-$ 38 |\n| | \\= 92 $-$ 30 $-$ 8 |\n| | \\= 62 $-$ 8 |\n| | \\= {{{correctAnswer0}}} |\n\n\n</div>\n"}]},{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 61 $-$ 37 |\n| | \\= 61 $-$ 30 $-$ 7 |\n| | \\= 31 $-$ 7 |\n| | \\= {{{correctAnswer0}}} |\n\n\n</div>\n"}]}]

Measurement, NAP_60092 - 8acc24f2-3cf3-482d-bfab-9f47c47d759f - (July 21, 2023)

SJ Units

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following is greater than 1 metre?"},{"varval":"Compare all options to the conversions\n\n>>1 metre = 100 centimetres = 1000 millimetres\n\n<br>\n\n>>Option 1 = 95 centimetres is less than 1 metres\n\n>>Option 2 = 500 millimetres is less than 1 metre\n\n>>Option 3 = 900 millimetres is less than 1 metre\n\n>>Option 4 = {{{correctAnswer}}} is greater than 1 metre $\\checkmark$\n\n\n<br>$\\therefore$ {{{correctAnswer}}} is greater than 1 metre\n"}]},{"vars":[{"varval":"Which of the following is greater than 2 metres?"},{"varval":"Compare all options to the conversions\n\n>>2 metres = 200 centimetres = 2000 millimetres\n\n<br>\n\n>>Option 1 = 1500 millimetres = 1.5 metres ( $\\times$ )\n\n>>Option 2 = {{{correctAnswer}}} = 2.5 metres ( $\\checkmark$ )\n\n\n>>Option 3 = 50 centimetres = 0.5 metres ( $\\times$ )\n\n>>Option 4 = 150 centimetres = 1.5 metres( $\\times$ )\n\n\n<br>$\\therefore$ {{{correctAnswer}}} is greater than 1 metre"}]},{"vars":[{"varval":"Which of the following is greater than 900 centimetres?"},{"varval":"Compare all options to the conversions\n\n>>900 centimetres = 9 metres = 9000 millimetres\n\n<br>\n\n>>Option 1 = 8000 mm = 800 cm ( $\\times$ )\n\n>>Option 2 = 6 m = 600 cm ( $\\times$ )\n\n>>Option 3 = {{{correctAnswer}}} = 950 cm ( $\\checkmark$ )\n\n>>Option 4 = 8 m = 800 cm ( $\\times$ )\n\n\n<br>$\\therefore$ {{{correctAnswer}}} is greater than 1 metre"}]},{"vars":[{"varval":"Which of the following is greater than 500 centimetres?"},{"varval":"Compare all options to the conversions\n\n>>100 centimetres = 1 metres = 1000 millimetres\n\n>>500 centimetres = 5 metres = 5000 millimetres\n\n<br>\n\n>>Option 1 = 6000 mm = 600 cm ( $\\checkmark$ )\n\n>>Option 2 = 3 m = 300 cm ( $\\times$ )\n\n>>Option 3 = 600 mm = 60 cm ( $\\times$ )\n\n>>Option 4 = 0.5 m = 50 cm ( $\\times$ )\n\n\n<br>$\\therefore$ {{{correctAnswer}}} is greater than 1 metre"}]}]

Measurement, NAP_60091 - 8a2b6734-7ea0-4808-8207-2861b98fd6b5 - (July 21, 2023)

SJ Units

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following is the same as 3 kilometres?"},{"varval":"1 kilometre = 1000 metres\n\n$\\therefore$ 3 kilometres = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 2 kilometres?"},{"varval":"1 kilometre = 1000 metres\n\n$\\therefore$ 2 kilometres = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 10 kilometres?"},{"varval":"1 kilometre = 1000 metres\n\n$\\therefore$ 10 kilometres = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 5 metres?"},{"varval":"1 metre = 100 centimetres\n\n$\\therefore$ 5 metres = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 6 metres?"},{"varval":"1 metre = 1000 millimetres\n\n$\\therefore$ 6 metres = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 8 metres?"},{"varval":"1 metre = 100 centimetres\n\n$\\therefore$ 8 metres = {{{correctAnswer}}}"}]}]

Measurement, NAP_90011 - b3640c95-3be1-4e08-9fa4-bd94e7cacb29 - (July 21, 2023)

SJ Units

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following is the same as 2 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n$\\therefore$ 2 kilograms = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 5 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n$\\therefore$ 5 kilograms = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 3 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n$\\therefore$ 3 kilograms = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 4 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n$\\therefore$ 4 kilograms = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 9 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n$\\therefore$ 9 kilograms = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following is the same as 11 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n$\\therefore$ 11 kilograms = {{{correctAnswer}}}"}]}]

Measurement, NAP_30041 - 832d9fc2-974d-43f0-88d1-301ea8b17c5a - (July 19, 2023)

SJ Units

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which is greater, 2 litres or 2000 millilitres?"},{"varval":"1 litre = 1000 millilitres\n\n2 litres = 2000 millilitres\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which is smaller, 5 kilometres or 4500 metres?"},{"varval":"1000 metres = 1 kilometre\n\n5000 metres = 5 kilometres\n\n4500 metres < 5000 metres\n\nTherefore, {{{correctAnswer}}} is smaller."}]},{"vars":[{"varval":"Which is greater, 1 centimetre or 15 millimetres?"},{"varval":"1 centimetre = 10 millimetres\n\n10 millimetres < 15 millimetres\n\nTherefore, {{{correctAnswer}}} is greater."}]},{"vars":[{"varval":"Which is greater, 5000 grams or 5 kilograms?"},{"varval":"1000 grams = 1 kilogram\n\n5000 grams = 5 kilograms\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which is smaller, 50 centimetres or 1 metre?"},{"varval":"1 metre = 100 centimetres\n\n50 centimetres < 100 centimetres\n\nTherefore, {{{correctAnswer}}} is smaller."}]},{"vars":[{"varval":"Which is greater, 40 centimetres or 400 millimetres?"},{"varval":"1 centimetre = 10 millimetres\n\n4 centimetres = 40 millimetres\n\n40 centimetres = 400 millimetres\n\n$\\therefore$ {{{correctAnswer}}}"}]}]

Measurement, NAP_30031 - f1ab466b-bca3-4540-a1d8-d16433602abe - (July 19, 2023)

SJ Units

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following would be the best estimate for the weight of a cat?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/cat-1-min.svg 150 indent vpad"},{"varval":"A cat would weigh approximately {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following would be the best estimate for the capacity of a carton of milk?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/milk-1-min.svg 150 indent2 vpad"},{"varval":"A carton of milk would have a capacity of approximately {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following would be the best estimate for the weight of a fire truck?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/fire-truck-1-min.svg 250 indent vpad"},{"varval":"A fire truck would weigh approximately {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following would be the best estimate for the height of a fridge?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/fridge-1.svg 100 indent2 vpad"},{"varval":"The height of a fridge would be approximately {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following would be the best estimate for the capacity of a teaspoon?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/spoon-1a-min.svg 150 indent2 vpad"},{"varval":"A teaspoon would have a capacity of approximately {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of the following would be the best estimate for the capacity of a bucket?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/bucket-1-min.svg 180 indent vpad"},{"varval":"A bucket would have a capacity of approximately {{{correctAnswer}}}"}]}]

Measurement, NAP_30013 - 2875024c-a9f0-4530-9ec4-2b2c6ba3018f - (July 19, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which 2 animals are about the same height?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/animals-4b_same-height_1-min.svg 350 indent vpad"},{"varval":"Animals {{{correctAnswer}}} are about the same height."}]},{"vars":[{"varval":"Which 2 children are about the same height?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/kids-4-height_same-min.svg 350 indent vpad"},{"varval":"Children {{{correctAnswer}}} are about the same height."}]},{"vars":[{"varval":"Which 2 cars are about the same length?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/cars-4x4-same_length-min.svg 350 indent vpad"},{"varval":"Cars {{{correctAnswer}}} are about the same length."}]},{"vars":[{"varval":"Which 2 fish are about the same length?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/fish-same_length-min.svg 350 indent vpad"},{"varval":"Fish {{{correctAnswer}}} are about the same length."}]},{"vars":[{"varval":"Which 2 buildings are about the same height?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/buildings-4-same-height-min.svg 350 indent vpad"},{"varval":"Buildings {{{correctAnswer}}} are about the same height."}]},{"vars":[{"varval":"Which 2 pencils are about the same length?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/pencils-x4-same-length-min.svg 250 indent vpad"},{"varval":"Pencils {{{correctAnswer}}} are about the same length."}]}]

Measurement, NAP_30011 - 09bea885-8c81-4cf0-832b-6cbdfe95beec - (July 18, 2023)

SJ Area

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which figure has an area of 6 square units?"},{"varval":"Count the squares in each option\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|Option 1|= 7 square units| \n|Option 2|= 7 square units|\n|Option 3|= 6 square units|\n|Option 4|= 7 square units|\n\n</div>\n\n<br>\n\nTherefore, Option 3 has an area of 6 square units.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which figure has an area of 7 square units?"},{"varval":"Count the squares in each option\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|Option 1|= 6 square units| \n|Option 2|= 7 square units|\n|Option 3|= 8 square units|\n|Option 4|= 9 square units|\n\n</div>\n\n<br>\n\nTherefore, Option 2 has an area of 7 square units.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which figure has an area of 8 square units?"},{"varval":"Count the squares in each option\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|Option 1|= 8 square units| \n|Option 2|= 7 square units|\n|Option 3|= 9 square units|\n|Option 4|= 7 square units|\n\n</div>\n\n<br>\n\nTherefore, Option 1 has an area of 8 square units.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which figure has an area of 9 square units?"},{"varval":"Count the squares in each option\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|Option 1|= 8 square units| \n|Option 2|= 7 square units|\n|Option 3|= 10 square units|\n|Option 4|= 9 square units|\n\n</div>\n\n<br>\n\nTherefore, Option 4 has an area of 9 square units.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which figure has an area of 5 square units?"},{"varval":"Count the squares in each option\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|Option 1|= 6 square units| \n|Option 2|= 7 square units|\n|Option 3|= 6 square units|\n|Option 4|= 5 square units|\n\n</div>\n\n<br>\n\nTherefore, Option 4 has an area of 5 square units.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which figure has an area of 6 square units?"},{"varval":"Count the squares in each option\n\n<div class=\"aligned\">\n\n>>|||\n|-|-|\n|Option 1|= 5 square units| \n|Option 2|= 6 square units|\n|Option 3|= 7 square units|\n|Option 4|= 7 square units|\n\n</div>\n\n<br>\n\nTherefore, Option 2 has an area of 6 square units.\n\n{{{correctAnswer}}}"}]}]

Measurement, NAP_30091 - 149d823b-fe0b-4777-bb7d-544057e4fb7a - (July 17, 2023)

SJ Length

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the correct order from tallest to shortest for these trees?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/trees-1-Order-min.svg 250 indent vpad "},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"What is the correct order from tallest to shortest for these children?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/kids-4-ORDERED-min.svg 300 indent vpad "},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"What is the correct order from shortest to tallest for these yachts?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/boat-4x4-ordered-min.svg 350 indent vpad "},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"What is the correct order from tallest to shortest for these animals?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/animals-4x4-min.svg 350 indent vpad "},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"What is the correct order from shortest to tallest for these farm animals?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/animals-4b-order-min.svg 350 indent vpad "},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"What is the correct order from tallest to shortest for these horses?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/horse-4x4-min.svg 380 indent vpad"},{"varval":"{{{correctAnswer}}}"}]}]

Measurement, NAP_20071 - cd2bf48e-b178-4e19-9a8e-d959b6e1a3e0 - (July 17, 2023)

SJ Length

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Johnny ruled four lines in his science book.\n\nHow many lines are longer than line 2?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/lines-4-min.svg 300 indent vpad\n"},{"varval":"{{{correctAnswer}}} lines are longer than line 2"}]},{"vars":[{"varval":"Messie ruled four lines in his geography book.\n\nHow many lines are longer than line 4?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/lines-4-min.svg 300 indent vpad\n"},{"varval":"{{{correctAnswer}}} lines are longer than line 4"}]},{"vars":[{"varval":"Rebecca cut 4 pieces of ribbon for her textiles class.\n\nHow many pieces of ribbon are longer than ribbon 4?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ribbon-1x4-min.svg 300 indent vpad\n"},{"varval":"{{{correctAnswer}}} pieces of ribbon are longer than ribbon 4"}]},{"vars":[{"varval":"Jayce cut four pieces of ribbon.\n\nHow many pieces of ribbon are longer than ribbon 1?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ribbon-1x4-min.svg 300 indent vpad\n"},{"varval":"{{{correctAnswer}}} piece of ribbon is longer than ribbon 1"}]},{"vars":[{"varval":"George cut 4 pieces of timber in his technology class.\n\nHow many pieces of timber are longer than piece 4?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/plank-1x4a-min.svg 500 indent vpad\n"},{"varval":"{{{correctAnswer}}} pieces of timber are longer than piece 4"}]},{"vars":[{"varval":"Mark cut 4 pieces of timber in his technology class.\n\nHow many pieces of timber are longer than piece 1?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/plank-1x4a-min.svg 500 indent vpad"},{"varval":"{{{correctAnswer}}} piece of timber is longer than piece 1"}]}]

Measurement, NAP_10051 - 958252c2-52a9-403b-a2d5-140832a42976 - (July 17, 2023)

SJ Length

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Percy ruled four lines in his book.\n\nWhich line is the longest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/lines-4-min.svg 300 indent vpad\n"},{"varval":"{{{correctAnswer}}} is the longest."}]},{"vars":[{"varval":"Svetlana ruled four lines in her book.\n\nWhich line is the shortest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/lines-4-min.svg 300 indent vpad\n"},{"varval":"{{{correctAnswer}}} is the shortest."}]},{"vars":[{"varval":"Dane ruled four lines in his book.\n\nWhich line is the longest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/lines-4-2-min.svg 300 indent vpad\n\n\n"},{"varval":"{{{correctAnswer}}} is the longest."}]},{"vars":[{"varval":"Hercules ruled four lines in his book.\n\nWhich line is the shortest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/lines-4-2-min.svg 300 indent vpad\n\n"},{"varval":"{{{correctAnswer}}} is the shortest."}]},{"vars":[{"varval":"Pia cut four lengths of ribbon.\n\nWhich ribbon is the longest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ribbon-1x4-min.svg 300 indent vpad\n\n\n\n"},{"varval":"{{{correctAnswer}}} is the longest."}]},{"vars":[{"varval":"Madge cut four lengths of ribbon.\n\nWhich ribbon is the shortest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ribbon-1x4-min.svg 300 indent vpad\n\n"},{"varval":"{{{correctAnswer}}} is the shortest."}]},{"vars":[{"varval":"Blanco cut four pieces of timber.\n\nWhich piece of timber is the longest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/plank-1x4a-min.svg 500 indent vpad\n"},{"varval":"{{{correctAnswer}}} is the longest."}]},{"vars":[{"varval":"Olive cut four pieces of timber.\n\nWhich piece of timber is the shortest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/plank-1x4a-min.svg 500 indent vpad\n"},{"varval":"{{{correctAnswer}}} is the shortest."}]}]

Number, NAP_20051 - b945db87-b062-4a5c-b699-a1e240b8269a - (July 13, 2023)

SJ Time

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"How long is a quarter of an hour?"},{"varval":"1 hour = 60 minutes\n\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ One quarter of an hour \n\n>>| |\n| --------------------- |\n| = 60 $\\div$ 4 |\n| = {{correctAnswer}} |\n\n</div>\n\n"}]},{"vars":[{"varval":"How long is half an hour?"},{"varval":"1 hour = 60 minutes\n\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ Half an hour \n\n>>| |\n| --------------------- |\n| = 60 $\\div$ 2 |\n| = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"How long is three quarters of an hour?"},{"varval":"1 hour = 60 minutes\n\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ One quarter of an hour \n\n>>| |\n| --------------------- |\n| = 60 $\\div$ 4 |\n| = 15 minutes |\n\n</div>\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ Three quarters of an hour \n\n>>| |\n| --------------------- |\n| = 15 $\\times$ 3 |\n| = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"How long is an hour and a half?"},{"varval":"1 hour = 60 minutes\n\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ Half an hour \n\n>>| |\n| --------------------- |\n| = 60 $\\div$ 2 |\n| = 3 minutes |\n\n</div>\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ An hour and a half \n\n>>| |\n| --------------------- |\n| = 60 + 30 |\n| = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"How long is an hour and a quarter?"},{"varval":"1 hour = 60 minutes\n\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ One quarter of an hour \n\n>>| |\n| --------------------- |\n| = 60 $\\div$ 4 |\n| = 15 minutes |\n\n</div>\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ An hour and a quarter\n\n>>| |\n| --------------------- |\n| = 60 + 15 |\n| = {{correctAnswer}} |\n\n</div>"}]},{"vars":[{"varval":"How long is an hour and three quarters?"},{"varval":"1 hour = 60 minutes\n\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ One quarter of an hour \n\n>>| |\n| --------------------- |\n| = 60 $\\div$ 4 |\n| = 15 minutes |\n\n</div>\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ Three quarters of an hour \n\n>>| |\n| --------------------- |\n| = 15 $\\times$ 3 |\n| = 45 |\n\n</div>\n<div class=\"aligned\">\n\nsm_nogap $\\therefore$ An hour and three quarters \n\n>>| |\n| --------------------- |\n| = 60 + 45 |\n| = {{{correctAnswer}}} |\n\n</div>"}]}]

Measurement, NAP_10027 - 25bac8fb-f887-4313-8aa6-fe1539d629df - (July 13, 2023)

SJ Time

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What time is shown on this smartwatch?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/watch-145-min.svg 150 indent vpad"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n45 minutes past = a quarter to the next hour\n\nTime is {{{correctAnswer}}}"}]},{"vars":[{"varval":"What time is shown on this clock?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/analog-1130-min.svg 150 indent vpad"},{"varval":"60 minutes = 1 hour\n\n30 minutes = half of 1 hour\n\nTime is {{{correctAnswer}}}"}]},{"vars":[{"varval":"What time is shown on this clock?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/analog-615-min.svg 150 indent vpad"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\nTime is {{{correctAnswer}}}"}]},{"vars":[{"varval":"What time is shown on this smartphone?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/android-1045a-min.svg 120 indent2 vpad"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n45 minutes past = a quarter to the next hour\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"What time is shown on this smartphone?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/smartphone-115-min.svg 120 indent2 vpad"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n15 minutes past the hour\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"What time is shown on this smartphone?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/iphone-1145-min.svg 120 indent2 vpad"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n45 minutes past = a quarter to the next hour\n\n{{{correctAnswer}}}"}]}]

Measurement, NAP_10025 - 3b522ad1-d07f-459f-8ae3-21ff7f4b7478 - (July 12, 2023)

SJ Time

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Cayden is catching the train at a quarter to 4.\n\nWhat time is this in digital time?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = one quarter of an hour\n\nA quarter to 4 = 15 minutes before 4 o'clock = {{{correctAnswer}}}\n\n\n"}]},{"vars":[{"varval":"Binky's movie is starting at a quarter past 1.\n\nWhat time is this in digital time?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = one quarter of an hour\n\nA quarter past 1 = 15 minutes after 1 o'clock = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Blake starts his gym class at half past 5.\n\nWhat time is this in digital time?"},{"varval":"60 minutes = 1 hour\n\n30 minutes = one half of an hour\n\nHalf past 5 = 30 minutes after 5 o'clock = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Mandy is catching a train at a quarter to 9.\n\nWhat time is this in digital time?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = one quarter of an hour\n\nA quarter to 9 = 15 minutes before 9 o'clock = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Stephen has a doctor's appointment at a quarter past 10.\n\nWhat time is this in digital time?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = one quarter of an hour\n\nA quarter past 10 = 15 minutes after 10 o'clock = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Aldo's pizza will be ready at half past 8.\n\nWhat time is this in digital time?"},{"varval":"60 minutes = 1 hour\n\n30 minutes = one half of an hour\n\nHalf past 8 = 30 minutes after 8 o'clock = {{{correctAnswer}}}\n"}]}]

Measurement, NAP_10023 - d821666c-db50-4e78-a599-76b8a95e88de - (July 12, 2023)

SJ from Measurement, RAPH14 Q19-21

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which smartwatch shows a quarter past 4?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which smartwatch shows a quarter to 6?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which smartwatch shows a quarter past 8?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which smartwatch shows half past 9?"},{"varval":"60 minutes = 1 hour\n\n30 minutes = half of 1 hour\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which smartwatch shows half past one?"},{"varval":"60 minutes = 1 hour\n\n30 minutes = half of 1 hour\n\n{{{correctAnswer}}}"}]}]

Measurement, NAP_10021 - b955ffed-1e60-4189-aebb-930ec08e16c4 - (July 12, 2023)

SJ - Time -calendar

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The calendar below shows the month of June 2017.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/calendar-June-min.svg 250 indent2 vpad\n\nWhat is the date of the first Friday?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The calendar below shows the month of September 2017.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/calendar-September-min.svg 250 indent2 vpad\n\nWhat is the date of the third Wednesday?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The calendar below shows the month of May 2017.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/calendar-May-min.svg 250 indent2 vpad\n\nWhat is the date of the fourth Friday?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The calendar below shows the month of April 2017.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/calendar-April-min.svg 250 indent2 vpad\n\nWhat is the date of the third Saturday?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The calendar below shows the month of December 2017.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/calendar-December-min.svg 250 indent2 vpad\n\nWhat is the date of the fourth Monday?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The calendar below shows the month of January 2017.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/calendar-January-min.svg 250 indent2 vpad\n\nWhat is the date of the second Thursday?\n\n"},{"varval":"{{{correctAnswer}}}"}]}]

Measurement, NAP_10017 - 58e72d96-b170-4b7d-8a6f-9c2226a4da2b - (July 11, 2023)

Units

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the items below could be used to measure a 4 centimetre caterpillar?"},{"varval":"{{{correctAnswer}}}\n\nA ruler marked in centimetres."}]},{"vars":[{"varval":"Which of the following items would you use to measure 2 litres of water?"},{"varval":"{{{correctAnswer}}}\n\nA jug marked in litres."}]},{"vars":[{"varval":"Which of the following items could be used to calculate the time 4 hours from now?"},{"varval":"{{{correctAnswer}}}\n\nAn analog clock."}]},{"vars":[{"varval":"Which of the following could be used to calculate the outside temperature at lunch time?"},{"varval":"{{{correctAnswer}}}\n\nA thermometer."}]},{"vars":[{"varval":"Which of the following could be used to measure the speed you are travelling in your car?"},{"varval":"{{{correctAnswer}}}\n\nAn odometer."}]},{"vars":[{"varval":"Which of the following could be used to measure a kilogram of flour?"},{"varval":"{{{correctAnswer}}}\n\nA kitchen scale."}]}]

Measurement, NAP_10015 - 17027ea1-b75e-45c2-ac51-28ccbe122c46 - (July 11, 2023)

Sj Measurement 248-333

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which bottle holds the most milk?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which box has the greatest mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which beaker contains the least liquid?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which pumpkin has the least mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which apple has the greatest mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which kettlebell has the least mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which kettlebell has the greatest mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which apple has the smallest mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which pumpkin has the greatest mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which beaker has the most liquid?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which box has the smallest mass?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which bottle holds the least milk?"},{"varval":"{{{correctAnswer}}}"}]}]

Measurement, NAP_10013 - b8692232-592c-4195-90e0-a88a26f2f922 - (July 11, 2023)

SJ Measurement

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which tree is the tallest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/trees-1-min.svg 280 indent vpad"},{"varval":"Tree {{{correctAnswer}}} is the tallest."}]},{"vars":[{"varval":"Which car is the shortest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/cars-4x4-min.svg 180 indent vpad"},{"varval":"Car {{{correctAnswer}}} is the shortest."}]},{"vars":[{"varval":"Which seahorse is the longest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/seahorse-1x4-min.svg 380 indent vpad"},{"varval":"Seahorse {{{correctAnswer}}} is the longest."}]},{"vars":[{"varval":"Which boat is the tallest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/boat-4x4-1.svg 350 indent vpad"},{"varval":"Boat {{{correctAnswer}}} is the tallest."}]},{"vars":[{"varval":"Which animal is the largest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/animals-4x4-min.svg 300 indent vpad"},{"varval":"Animal {{{correctAnswer}}} is the largest."}]},{"vars":[{"varval":"Which horse is the tallest?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/horse-4x4-min.svg 380 indent vpad"},{"varval":"Horse {{{correctAnswer}}} is the tallest."}]}]

Measurement, NAP_10011 - 25140565-009d-43f8-aa53-d8764a977e89 - (July 11, 2023)

SJ Measurement

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Reba wants to measure the length of her loungeroom.\n\nWhich object below should she use?"},{"varval":"{{{correctAnswer}}}\n\nA tape measure\n"}]},{"vars":[{"varval":"Kyra wants to calculate the time 90 minutes from now.\n\nWhich of the objects below should she use?"},{"varval":"{{{correctAnswer}}}\n\nA clock"}]},{"vars":[{"varval":"Floyd has just finished running a marathon and wants to measure how much weight he has lost during his run.\n\nWhich of the items below should he use?"},{"varval":"{{{correctAnswer}}}\n\nScales"}]},{"vars":[{"varval":"Cyrus wants to estimate the outside temperature.\n\nWhich of the objects below should he use?"},{"varval":"{{{correctAnswer}}}\n\nA thermometer"}]}]

Number, NAP_10095 - 3afc4175-6200-4f21-ac99-1aeba81dca97 - (July 05, 2023)

SJ Multiply/Divide From Algebra, NAPX-G2-34 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\n\nIn a card game, John gets 5 cards and earns points.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-35.svg 350 indent vpad\n\n<br>Each white star is worth double the points of each black star.\n\nHow many points is a white star worth?\n\n"},{"varval":"\nJohn's hand is worth the same as having\n 7 black stars.\n\n<div class=\"aligned\">\n\n<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n>| | |\n| ------------: | ---------- |\n| 7 $\\times$ <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 35 |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 35 $\\div$ 7 = 5 |\n\n</div>\n\n</div>\n\n<br>A white star is worth 2 $\\times$ black\n\n<div class=\"aligned\">\n\n\n>| | |\n| ------------: | ---------- |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-white.svg\" style=\"height: 40px;\"> | \\= 2 $\\times$ 5 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n\n"}]},{"vars":[{"varval":"\nIn a card game, Francine gets 5 cards and earns points.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-90.svg 350 indent vpad\n\n<br>Each white star is worth double the points of each black star.\n\nHow many points is a white star worth?"},{"varval":"Francine's hand is worth the same as having 6 black stars.\n\n<div class=\"aligned\">\n\n<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n>| | |\n| ------------: | ---------- |\n| 6 $\\times$ <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 90 |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 90 $\\div$ 6 = 15 |\n\n</div>\n\n</div>\n\n<br>A white star is worth 2 $\\times$ black\n\n<div class=\"aligned\">\n\n\n>| | |\n| ------------: | ---------- |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-white.svg\" style=\"height: 40px;\"> | \\= 2 $\\times$ 15 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"In a card game, Lucy gets 6 cards and earns points.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-96a.svg 350 indent vpad\n\n<br>Each white star is worth double the points of each black star.\n\nHow many points is a white star worth?"},{"varval":"Lucy's hand is worth the same as having 8 black stars.\n\n<div class=\"aligned\">\n\n<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n>| | |\n| ------------: | ---------- |\n| 8 $\\times$ <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 96 |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 96 $\\div$ 8 = 12 |\n\n</div>\n\n</div>\n\n<br>A white star is worth 2 $\\times$ black\n\n<div class=\"aligned\">\n\n\n>| | |\n| ------------: | ---------- |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-white.svg\" style=\"height: 40px;\"> | \\= 2 $\\times$ 12 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"In a card game, Grant gets 6 cards and earns points.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-63.svg 350 indent vpad\n\n<br>Each white star is worth double the points of each black star.\n\nHow many points is a white star worth?"},{"varval":"Grant's hand is worth the same as having 9 black stars.\n\n<div class=\"aligned\">\n\n<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n>| | |\n| ------------: | ---------- |\n| 9 $\\times$ <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 63 |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 63 $\\div$ 9 = 7 |\n\n</div>\n\n</div>\n\n<br>A white star is worth 2 $\\times$ black\n\n<div class=\"aligned\">\n\n\n>| | |\n| ------------: | ---------- |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-white.svg\" style=\"height: 40px;\"> | \\= 2 $\\times$ 7 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"In a card game, Gavin gets 7 cards and earns points.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-22.svg 380 indent vpad\n\n<br>Each white star is worth double the points of each black star.\n\nHow many points is a white star worth?"},{"varval":"Gavin's hand is worth the same as having 11 black stars.\n\n<div class=\"aligned\">\n\n<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n>| | |\n| ------------: | ---------- |\n| 11 $\\times$ <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 22 |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 22 $\\div$ 11 = 2 |\n\n</div>\n\n</div>\n\n<br>A white star is worth 2 $\\times$ black\n\n<div class=\"aligned\">\n\n\n>| | |\n| ------------: | ---------- |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-white.svg\" style=\"height: 40px;\"> | \\= 2 $\\times$ 2 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"In a card game, Trinity gets 7 cards and earns points.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-20.svg 380 indent vpad\n\n<br>Each white star is worth double the points of each black star.\n\nHow many points is a white star worth?"},{"varval":"Trinity's hand is worth the same as having 10 black stars.\n\n<div class=\"aligned\">\n\n<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n>| | |\n| ------------: | ---------- |\n| 10 $\\times$ <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 20 |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-black.svg\" style=\"height: 40px;\"> | \\= 20 $\\div$ 10 = 2 |\n\n</div>\n\n</div>\n\n<br>A white star is worth 2 $\\times$ black\n\n<div class=\"aligned\">\n\n\n>| | |\n| ------------: | ---------- |\n| <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/stars-white.svg\" style=\"height: 40px;\"> | \\= 2 $\\times$ 2 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]}]

Number, NAP_10091 - c43fd9cd-e106-4825-9e03-4f9a082d3034 - (July 04, 2023)

SJ Multiply/divide Algebra, NAPX-J2-28

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Hughes has 71 match sticks.\n\nHe uses 6 match sticks to make two small triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-28-v1.svg 300 indent vpad\n\n<br>What is the largest number of small triangles, like this, that Hughes can make with his 71 match sticks?\n"},{"varval":"\n3 match sticks are used for 1 triangle.\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of triangles\t | \\= 71 $\\div$ 3 |\n| | \\= {{{correctAnswer}}} remainder 2 |\n\n</div>\n\n<br>\n\n\n$\\therefore$ {{{correctAnswer}}} triangles (round down).\n4 match sticks are used for 1 square.\n"}]},{"vars":[{"varval":"Anita has 57 match sticks.\n\nShe uses 8 match sticks to make two small squares.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x2-min.svg 300 indent vpad\n\n<br>What is the largest number of small squares, like this, that Anita can make with her 57 match sticks?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of squares\t | \\= 57 $\\div$ 4 |\n| | \\= {{{correctAnswer}}} remainder 1 |\n\n</div>\n\n<br>\n\n\n$\\therefore$ {{{correctAnswer}}} squares (round down)."}]},{"vars":[{"varval":"Brutus has 81 match sticks.\n\nHe uses 12 match sticks to make two small fish shapes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/fish-2x2-min.svg 180 indent2 vpad\n\n<br>What is the largest number of small fish shapes, like this, that Brutus can make with his 81 match sticks?\n\n\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of small fish\t | \\= 81 $\\div$ 6 |\n| | \\= {{{correctAnswer}}} remainder 3 |\n\n</div>\n\n<br>\n\n\n$\\therefore$ {{{correctAnswer}}} small fish (round down)."}]},{"vars":[{"varval":"Burgess has 94 match sticks.\n\nHe uses 16 match sticks to make these two daisy shapes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x8-min.svg 300 indent vpad\n\n<br>What is the largest number of daisy shapes, like this, that Burgess can make with his 94 match sticks?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of daisies | \\= 94 $\\div$ 8 |\n| | \\= {{{correctAnswer}}} remainder 6 |\n\n</div>\n\n<br>\n\n\n$\\therefore$ {{{correctAnswer}}} daisies (round down)."}]},{"vars":[{"varval":"Bianca has 75 match sticks.\n\nShe uses 8 match sticks to make these two crosses.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x4-cross-min.svg 300 indent vpad\n\n<br>What is the largest number of crosses, like this, that Bianca can make with her 75 match sticks?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of crosses| \\= 75 $\\div$ 4 |\n| | \\= {{{correctAnswer}}} remainder 3 |\n\n</div>\n\n<br>\n\n\n$\\therefore$ {{{correctAnswer}}} crosses (round down)."}]},{"vars":[{"varval":"Beau has 85 match sticks.\n\nHe uses 14 match sticks to make these two shapes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/match-2x7-min.svg 300 indent vpad\n\n<br>What is the largest number of shapes, like this, that Beau can make with his 85 match sticks?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of shapes\t | \\= 85 $\\div$ 7 |\n| | \\= {{{correctAnswer}}} remainder 1 |\n\n</div>\n\n<br>\n\n\n$\\therefore$ {{{correctAnswer}}} shapes (round down)."}]}]

Number, NAP_10087 - 97cd431e-1bf1-4fef-998b-ba9ca6813e6f - (July 04, 2023)

SJ Add/Subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ginger measured the height of her drink bottle by measuring it against her ruler.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/water-ruler-2-min.svg 200 indent3 vpad\n\nWhat is the height of her drink bottle in centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Height | \\= 28 − 4 |\n| | \\= {{{correctAnswer}}} centimetres |\n\n</div>\n"}]},{"vars":[{"varval":"George found a butterfly and measured the width of its wingspan using part of his ruler.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/butterfly-ruler-1-min.svg 350 indent3 vpad\n\nWhat is the width of the butterfly's wingspan, in centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Width | \\= 19 − 13 |\n| | \\= {{{correctAnswer}}} centimetres |\n\n</div>\n"}]},{"vars":[{"varval":"Min measured the length of her diary by measuring it against part of her ruler.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ruler-diary-min.svg 500 indent vpad\n\nWhat is the length of her diary, in centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Length | \\= 43 − 24 |\n| | \\= {{{correctAnswer}}} centimetres |\n\n</div>\n"}]},{"vars":[{"varval":"Virgil measured the length of his pencil using part of his ruler.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ruler-pencil-min.svg 550 vpad\n\nWhat is the length of his pencil, in centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Height | \\= 45 − 27 |\n| | \\= {{{correctAnswer}}} centimetres |\n\n</div>\n"}]},{"vars":[{"varval":"Milo measured the length of the fish he caught, measuring against part of his ruler.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ruler-fish-min.svg 500 indent vpad\n\nWhat is the length of the fish, in centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Height | \\= 49 − 22 |\n| | \\= {{{correctAnswer}}} centimetres |\n\n</div>\n"}]},{"vars":[{"varval":"Iris measured the length of a dart using part of her ruler.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/ruler-dart-min.svg 450 indent2 vpad\n\nWhat is the length of the dart, to the nearest centimetre?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Height | \\= 41 − 26 |\n| | \\= {{{correctAnswer}}} centimetres |\n\n</div>\n"}]}]

Number, NAP_10091 - ca6a5783-cb6f-4659-a58e-fae1698d7164 - (July 04, 2023)

SJ Add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Bev has $66 saved and Mickey has $24 saved.\n\nHow much money should Bev give to Mickey for them each to have the same amount of money?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Difference|= \\$66 $−$ \\$24|\n||= \\$46 $-$ \\$4|\n||= $42|\n\n</div>\n\n<br>Bev needs to give half of the $42 to Mickey.\n\nHalf of $42 is ${{{correctAnswer0}}}.\n\nBev needs to give Mickey ${{{correctAnswer0}}} of her money.\n\n(Check: \\$66 $-$ \\${{{correctAnswer0}}} = $45 and $24 + ${{{correctAnswer0}}} = $45)\n"}]},{"vars":[{"varval":"Bing has saved $75 and Dean has saved $41 .\n\nHow much money should Bing give to Dean for them to each have the same amount of money?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Difference|= \\$75 $−$ \\$41|\n||= \\$35 $-$ \\$1|\n||= $34|\n\n</div>\n\n<br>Bing needs to give half of the $34 to Dean.\n\nHalf of $34 is ${{{correctAnswer0}}}.\n\nBing needs to give Dean ${{{correctAnswer0}}} of his money.\n\n(Check: \\$75 $-$ \\${{{correctAnswer0}}} = $58 and $41 + ${{{correctAnswer0}}} = $58)"}]},{"vars":[{"varval":"Edgar has saved $97 and Allen has saved $45.\n\nHow much money should Edgar give to Allen for them to each have the same amount of money?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Difference|= \\$97 $−$ \\$45|\n||= \\$57 $-$ \\$5|\n||= $52|\n\n</div>\n\n<br>Edgar needs to give half of the $52 to Allen.\n\nHalf of $52 is ${{{correctAnswer0}}}.\n\nEdgar needs to give Allen ${{{correctAnswer0}}} of his money.\n\n(Check: \\$97 $-$ \\${{{correctAnswer0}}} = $71 and $45 + ${{{correctAnswer0}}} = $71)"}]},{"vars":[{"varval":"Arjun has saved $168 and Rishi has saved $92.\n\nHow much money should Arjun give to Rishi for them to each have the same amount of money?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Difference|= \\$168 $−$ \\$92|\n||= \\$78 $-$ \\$2|\n||= $76|\n\n</div>\n\n<br>Arjun needs to give half of the $76 to Rishi.\n\nHalf of $76 is ${{{correctAnswer0}}}.\n\nArjun needs to give Rishi ${{{correctAnswer0}}} of his money.\n\n(Check: \\$168 $-$ \\${{{correctAnswer0}}} = $130 and $92 + ${{{correctAnswer0}}} = $130)"}]},{"vars":[{"varval":"Mei has saved $225 and Xiang has saved $119.\n\nHow much money should Mei give to Xiang for them each to have the same amount of money?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Difference|= \\$225 $−$ \\$119|\n||= \\$115 $-$ \\$9|\n||= $106|\n\n</div>\n\n<br>Mei needs to give half of the $106 to Xiang.\n\nHalf of $106 is ${{{correctAnswer0}}}.\n\nMei needs to give Xiang ${{{correctAnswer0}}} of her money.\n\n(Check: \\$225 $-$ \\${{{correctAnswer0}}} = $172 and $119 + ${{{correctAnswer0}}} = $172)"}]},{"vars":[{"varval":"Niamh has saved $454 and Enya has saved $342.\n\nHow much money should Niamh give to Enya for them each to have the same amount of money?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Difference|= \\$454 $−$ \\$342|\n||= \\$154 $-$ \\$42|\n||= \\$114 $-$ \\$2|\n||= $112|\n\n</div>\n\n<br>Niamh needs to give half of the $112 to Enya.\n\nHalf of $112 is ${{{correctAnswer0}}}.\n\nNiamh needs to give Enya ${{{correctAnswer0}}} of her money.\n\n(Check: \\$454 $-$ \\${{{correctAnswer0}}} = $398 and $342 + ${{{correctAnswer0}}} = $398)"}]}]

Number, NAP_10085 - 497f932f-7cfd-4d83-9687-b5d4bc94646f - (June 29, 2023)

SJ Add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A tourist travelled 2248 kilometres on the first week of their holiday.\n\nThey travelled another 872 kilometres on the second week of their holiday.\n\nWhich of these could be used to calculate the total number of kilometres travelled by the tourist on their two week holiday?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 2248 + 872 | \\= 2000 + 200 + 40 + 8 + 800 + 70 + 2 |\n| | \\= 2000 + 200 + 800 + 40 + 70 + 8 + 2 |\n| | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Tae travelled 1339 kilometres Adelaide to Sydney.\n\nHe then travelled another 981 kilometres from Sydney to Brisbane.\n\nWhich of these could be used to calculate the total number of kilometres Tae travelled from Adelaide to Brisbane?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 1339 + 921 | \\= 1000 + 300 + 30 + 9 + 900 + 80 + 1 |\n| | \\= 1000 + 300 + 900 + 30 + 80 + 9 + 1 |\n| | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A truck weighs 7709 kilograms with no load.\n\nA load of 971 kilograms is added to the truck.\n\nWhich of these could be used to calculate the total weight of the loaded truck?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 7709 + 971 | \\= 7000 + 700 + 9 + 900 + 70 + 1 |\n| | \\= 7000 + 700 + 900 + 70 + 9 + 1 |\n| | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Aziz travelled 1093 kilometres on the first week of his holiday.\n\nHe then travelled another 487 kilometres on the second week of his holiday.\n\nWhich of these could be used to calculate the total number of kilometres travelled by the Aziz on his holiday?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 1093 + 487 | \\= 1000 + 90 + 3 + 400 + 80 + 7 |\n| | \\= 1000 + 400 + 90 + 80 + 3 + 7 |\n| | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Ali cycled 1754 kilometres in total from January to June.\n\nHe then cycled another 496 kilometres from July to December.\n\nWhich of these could be used to calculate the number of kilometres cycled by Ali from January to December?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 1754 + 496 | \\= 1000 + 700 + 50 + 4 + 400 + 90 + 6 |\n| | \\= 1000 + 700 + 400 + 50 + 90 + 4 + 6 |\n| | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Blanch ran a total of 1396 kilometres in 2021.\n\nShe then ran another 784 kilometres in 2022.\n\nWhich of these could be used to calculate the total number of kilometres run by Blanch during 2021 and 2022?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 1396 + 784 | \\= 1000 + 300 + 90 + 6 + 700 + 80 + 4 |\n| | \\= 1000 + 300 + 700 + 90 + 80 + 6 + 4 |\n| | \\= {{{correctAnswer}}}|\n\n</div>"}]}]

Number, NAP_10081 - e1a38d51-3f93-4fe2-853f-768fbf88f532 - (June 29, 2023)

SJ Add subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_mode\">\n\nA company has 345 green highlighters in a warehouse.\n\nAnother 485 highlighters are delivered to the warehouse.\n\nWhich of these could be used to calculate the correct number of highlighters in the warehouse?\n\n</div>\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 345 + 485 | \\= 300 + 40 + 5 + 400 + 80 + 5 |\n| | \\= 300 + 400 + 40 + 80 + 5 + 5 |\n| | \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nA farm has 233 dairy cows in a paddock.\n\nAnother 187 dairy cows are in the milking sheds.\n\nWhich of these could be used to calculate the number of dairy cows, in total, on the farm?\n\n</div>\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 233 + 187 | \\= 200 + 30 + 3 + 100 + 80 + 7 |\n| | \\= 200 + 100 + 80 + 30 + 3 + 7 |\n| | \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nA school has 395 students who walk to school.\n\nAnother 685 students travel to school by bus.\n\nWhich of these could be used to calculate the total number of students who either walk to school or travel by bus?\n\n</div>\n"},{"varval":"\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 395 + 685 | \\= 300 + 90 + 5 + 600 + 80 + 5 |\n| | \\= 300 + 600 + 90 + 80 + 5 + 5 |\n| | \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nOn Monday a gym had 195 members who trained in the morning.\n\nAnother 275 members trained in the afternoon and evening.\n\nWhich of these could be used to calculate the total number of members training at the gym on Monday?\n\n</div>\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 195 + 275 | \\= 100 + 90 + 5 + 200 + 70 + 5 |\n| | \\= 100 + 200 + 90 + 70 + 5 + 5 |\n| | \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nA farmer collects 625 eggs on Monday.\n\nAnother 785 eggs were collected on Tuesday.\n\nWhich of these could be used to calculate the total number of eggs collected on Monday and Tuesday?\n\n</div>\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 625 + 785 | \\= 600 + 20 + 5 + 700 + 80 + 5 |\n| | \\= 600 + 700 + 20 + 80 + 5 + 5 |\n| | \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nA plant nursery has 545 indoor plants.\n\nThe nursery has another 895 plants that are outdoors.\n\nWhich of these could be used to calculate the total number of indoor and outdoor plants in the nursery?\n\n</div>\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 545 + 895 | \\= 500 + 40 + 5 + 800 + 90 + 5 |\n| | \\= 500 + 800 + 40 + 90 + 5 + 5 |\n| | \\= {{{correctAnswer}}}|\n\n</div>\n"}]}]

Number, NAP_10073 - 73655c6d-a221-4344-8ad8-66c3f94cc1cf - (June 29, 2023)

SJ Add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table shows the weights of 5 friends.\n\n<div class=\"sm-table col1-color1 row1-color1 top-left-cell-hidden\">\n\n>| | Annie| Brian| Hamza| Vivian|Cade|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n|Weight (kilograms)| 50| 57|54|55|61|\n\n</div>\n\n<br>\nWho is the second lightest friend?\n"},{"varval":"\nOrdered from lightest to heaviest:\n\n>Annie (50)\n\n>Hamza (54)\n\n>Vivian (55)\n\n>Brian (57)\n\n>Cade (61)\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the second lightest.\n\n"}]},{"vars":[{"varval":"The table shows the lengths of 4 samples of wood.\n\n<div class=\"sm-table col1-color2 row1-color2 top-left-cell-hidden\">\n\n>| | Sample 1| Sample 2| Sample 3| Sample 4|\n|:-:|:-:|:-:|:-:|:-:|\n| Length (centimetres)| 113| 104|118|109|\n\n</div>\n\n<br>\nWhich wood sample is the second longest?\n"},{"varval":"Ordered from shortest to longest:\n\n>Sample 2 (104)\n\n>Sample 4 (109)\n\n>Sample 1 (113)\n\n>Sample 3 (118)\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the second longest.\n"}]},{"vars":[{"varval":"The table shows the times of 4 runners in a 200 metre race.\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>| | Runner 1| Runner 2| Runner 3| Runner 4|\n|:-:|:-:|:-:|:-:|:-:|\n| Time (seconds)| 23| 27|24|26|\n\n</div>\n\n<br>\nWhich runner is the second slowest?\n"},{"varval":"Ordered from fastest to slowest:\n\n>Runner 1 (23)\n\n>Runner 3 (24)\n\n>Runner 4 (26)\n\n>Runner 2 (27)\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the second slowest."}]},{"vars":[{"varval":"The table shows the distances of 4 mountain hikes.\n\n<div class=\"sm-table col1-color4 row1-color4 top-left-cell-hidden\">\n\n>| | Hike 1| Hike 2| Hike 3| Hike 4|\n|:-:|:-:|:-:|:-:|:-:|\n| Distance (kilometres)| 43| 28|37|35|\n\n</div>\n\n<br>\nWhich hike is the second longest?\n\n"},{"varval":"Ordered from shortest to longest:\n\n>Hike 2 (28)\n\n>Hike 4 (35)\n\n>Hike 3 (37)\n\n>Hike 1 (43)\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the second longest."}]},{"vars":[{"varval":"The table shows the running times of 4 movies.\n\n<div class=\"sm-table col1-color5 row1-color5 top-left-cell-hidden\">\n\n>| | Movie 1| Movie 2| Movie 3| Movie 4|\n|:-:|:-:|:-:|:-:|:-:|\n| Time (minutes)| 127|125|119|126|\n\n</div>\n\n<br>\nWhich movie has the second shortest running time?\n"},{"varval":"Ordered from shortest to longest:\n\n>Movie 3 (119)\n\n>Movie 2 (125)\n\n>Movie 4 (126)\n\n>Movie 1 (127)\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the second shortest."}]},{"vars":[{"varval":"The table shows the size of 4 blocks of land in square metres.\n\n<div class=\"sm-table col1-color6 row1-color6 top-left-cell-hidden\">\n\n>| | Block 1| Block 2| Block 3| Block 4|\n|:-:|:-:|:-:|:-:|:-:|\n| Size (sq metres)| 867| 1004|790|640|\n\n</div>\n\n<br>\nWhich block size is the second largest?\n"},{"varval":"Ordered from smallest to largest:\n\n>Block 4 (640)\n\n>Block 3 (790)\n\n>Block 1 (867)\n\n>Block 2 (1004)\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the second largest block."}]}]

Number, NAP_10071 - 0342266a-ddc7-4a16-999c-c9429f92e301 - (June 29, 2023)

SJ Add/subtract From Algebra, NAPX-p124265v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Gina has saved $92.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-13v2.svg 170 indent3 vpad\n\n<br>How much more money does she need to buy the tennis racquet?"},{"varval":"sm_nogap Extra money needed for racquet\n\n<div class=\"aligned\">\n\n>>| | |\n| ------------- | ---------- |\n| | \\= $174 − $92 |\n| | \\= ${{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Andrew has saved $140.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/fishing-rod-1_1-min.svg 250 indent vpad\n\n<br>How much more money does he need to buy the fishing rod?"},{"varval":"sm_nogap Extra money needed for fishing rod\n\n<div class=\"aligned\">\n\n>>| | |\n| ------------- | ---------- |\n| | \\= $213 − $140 |\n| | \\= ${{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Rohan has saved $394.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/bike-2_2-min.svg 270 indent vpad\n\n<br>How much more money does he need to buy the mountain bike?"},{"varval":"sm_nogap Extra money needed for mountain bike\n\n<div class=\"aligned\">\n\n>>| | |\n| ------------- | ---------- |\n| | \\= $500 − $394 |\n| | \\= ${{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Mark has saved $385.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/surfboard-1_1-min.svg 100 indent vpad\n\n<br>How much more money does he need to buy the surfboard?"},{"varval":"sm_nogap Extra money needed for surfboard\n\n<div class=\"aligned\">\n\n>>| | |\n| ------------- | ---------- |\n| | \\= $560 − $385 |\n| | \\= ${{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Thea has saved $67.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/kite-1_1-min.svg 170 indent vpad\n\n<br>How much more money does she need to buy the kite?"},{"varval":"sm_nogap Extra money needed for kite\n\n<div class=\"aligned\">\n\n>>| | |\n| ------------- | ---------- |\n| | \\= $123 − $67 |\n| | \\= ${{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Romi has saved $88.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/shoes-1_1-min.svg 170 indent vpad\n\n<br>How much more money does she need to buy the training shoes?"},{"varval":"sm_nogap Extra money needed for training shoes\n\n<div class=\"aligned\">\n\n>>| | |\n| ------------- | ---------- |\n| | \\= $157 − $88 |\n| | \\= ${{{correctAnswer}}} |\n\n</div>\n"}]}]

Number, NAP_10067 - e690d723-4a91-49e2-9188-7a5cb23fbd7c - (June 28, 2023)

SJ Add/subtract From: Algebra, NAPX-p124052v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The runs scored by Billy and Ray in 4 games of cricket are recorded in the table below.\n\n<br>\n\n\n<div class=\"sm-table col1-color2 row1-color2 top-left-cell-hidden\">\n\n>>| | Billy | Ray |\n|:-:|:-:|:-:|\n|Game 1| 35| 22|\n|Game 2| 78| 64|\n|Game 3| 29| 41|\n|Game 4| 18| 26|\n\n</div>\n\n<br>In which game did Ray score 12 more runs than Billy?"},{"varval":"Consider each game,\n\nGame 1: 35 $-$ 22 = 13 runs (more by Billy)\n\nGame 2: 78 $-$ 64 = 14 runs (more by Billy)\n\nGame 3: 41 $-$ 29 = 12 runs (more by Ray)\n\nGame 4: 26 $-$ 18 = 8 runs (more by Ray)\n\nTherefore, in {{{correctAnswer}}} Ray scored 12 more runs than Billy."}]},{"vars":[{"varval":"The goals scored by Jett and Jax in 4 games of basketball are recorded in the table below.\n\n<br>\n\n\n<div class=\"sm-table col1-color1 row1-color1 top-left-cell-hidden\">\n\n>>| | Jett | Jax |\n|:-:|:-:|:-:|\n|Game 1| 18| 24|\n|Game 2| 44| 29|\n|Game 3| 26| 12|\n|Game 4| 6| 34|\n\n</div>\n\n<br>In which game did Jett score 15 more goals than Jax?"},{"varval":"Consider each game,\n\nGame 1: 24 $-$ 18 = 6 goals (more by Jax)\n\nGame 2: 44 $-$ 29 = 15 goals (more by Jett)\n\nGame 3: 26 $-$ 12 = 14 goals (more by Jett)\n\nGame 4: 34 $-$ 6 = 28 goals (more by Jax)\n\nTherefore, in {{{correctAnswer}}} Jett scored 15 more runs than Jax."}]},{"vars":[{"varval":"The goals scored by Erin and Emily in 4 seasons of netball are recorded in the table below.\n\n<br>\n\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Erin | Emily |\n|:-:|:-:|:-:|\n|Season 1| 67| 64|\n|Season 2| 76| 92|\n|Season 3| 74| 58|\n|Season 4| 46| 20|\n\n</div>\n\n<br>In which Season did Erin score 16 more goals than Emily?"},{"varval":"Consider each season,\n\nSeason 1: 67 $-$ 64 = 3 goals (more by Erin)\n\nSeason 2: 92 $-$ 76 = 16 goals (more by Emily)\n\nSeason 3: 74 $-$ 58 = 16 goals (more by Erin)\n\nSeason 4: 46 $-$ 20 = 26 goals (more by Erin)\n\nTherefore, in {{{correctAnswer}}} Erin scored 16 more goals than Emily."}]},{"vars":[{"varval":"The points scored by Nat and Alex in 4 rounds of trivia are recorded in the table below.\n\n<br>\n\n\n<div class=\"sm-table col1-color4 row1-color4 top-left-cell-hidden\">\n\n>>| | Nat | Alex |\n|:-:|:-:|:-:|\n|Round 1| 27| 32|\n|Round 2| 36| 47|\n|Round 3| 48| 29|\n|Round 4| 42| 31|\n\n</div>\n\n<br>In which round did Nat score 11 more points than Alex?"},{"varval":"Consider each game,\n\nRound 1: 32 $-$ 27 = 5 points (more by Alex)\n\nRound 2: 47 $-$ 36 = 11 points (more by Alex)\n\nRound 3: 48 $-$ 29 = 19 points (more by Nat)\n\nRound 4: 42 $-$ 31 = 11 points (more by Nat)\n\nTherefore, in {{{correctAnswer}}} Nat scored 11 more points than Alex."}]},{"vars":[{"varval":"The goals scored by Zane and Taren in 4 rounds of soccer are recorded in the table below.\n\n<br>\n\n\n<div class=\"sm-table col1-color5 row1-color5 top-left-cell-hidden\">\n\n>>| | Zane | Taren |\n|:-:|:-:|:-:|\n|Round 1| 18| 23|\n|Round 2| 17| 9|\n|Round 3| 16| 22|\n|Round 4| 9| 4|\n\n</div>\n\n<br>In which round did Taren score 5 more goals than Zane?"},{"varval":"Consider each game,\n\nRound 1: 23 $-$ 18 = 5 goals (more by Taren)\n\nRound 2: 17 $-$ 9 = 8 goals (more by Zane)\n\nRound 3: 22 $-$ 16 = 6 goals (more by Taren)\n\nRound 4: 9 $-$ 4 = 5 goals (more by Zane)\n\nTherefore, in {{{correctAnswer}}} Taren scored 5 more goals than Zane."}]},{"vars":[{"varval":"The runs scored by Rich and Viv in 4 games of cricket are recorded in the table below.\n\n<br>\n\n\n<div class=\"sm-table col1-color6 row1-color6 top-left-cell-hidden\">\n\n>>| | Rich | Viv |\n|:-:|:-:|:-:|\n|Game 1| 98| 87|\n|Game 2| 43| 52|\n|Game 3| 105| 86|\n|Game 4| 62| 81|\n\n</div>\n\n<br>In which game did Viv score 19 more runs than Rich?"},{"varval":"Consider each game,\n\nGame 1: 98 $-$ 87 = 11 runs (more by Rich)\n\nGame 2: 52 $-$ 43 = 9 runs (more by Viv)\n\nGame 3: 105 $-$ 86 = 19 runs (more by Rich)\n\nGame 4: 81 $-$ 62 = 19 runs (more by Viv)\n\nTherefore, in {{{correctAnswer}}} Viv scored 19 more runs than Rich."}]}]

Number, NAP_10061 - f111b9fe-c533-43c3-952c-4fba86ee07ff - (June 28, 2023)

SJ Add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Julius did two long bush walks during the school holidays.\n\nHe went 68 kilometres on the first bush walk and 82 kilometres on the second bush walk.\n\nWhich number sentence could be used to find the total number of kilometres that Julius walked?"},{"varval":"sm_nogap Total amount walked\n\n<div class=\"aligned\">\n\n>| | |\n| ------------- | ---------- |\n| | \\= 68 + 82 |\n| | \\= 60 + 8 + 80 + 2 |\n| | \\= 60 + 80 + 10 |\n| | \\= 150 |\n\n</div>\n"}]},{"vars":[{"varval":"Charles had 2 different casual jobs.\n\nLast week he earned $74 from the first and $66 from the second.\n\nWhich number sentence could be used to find the total amount Charles earned last week?"},{"varval":"sm_nogap Total amount earned\n\n<div class=\"aligned\">\n\n>| | |\n| ------------- | ---------- |\n| | \\= 74 + 66 |\n| | \\= 70 + 4 + 60 + 6 |\n| | \\= 70 + 60 + 10 |\n| | \\= 140 |\n\n</div>"}]},{"vars":[{"varval":"Ang bought groceries from 2 different supermarkets.\n\nAt the first he spent $47 and at the second he spent $83.\n\nWhich number sentence could be used to find the total amount of money Ang spent on groceries?"},{"varval":"sm_nogap Total amount spent\n\n<div class=\"aligned\">\n\n>| | |\n| ------------- | ---------- |\n| | \\= 47 + 83 |\n| | \\= 40 + 7 + 80 + 3 |\n| | \\= 40 + 80 + 10 |\n| | \\= 130 |\n\n</div>"}]}]

Number, NAP_10053 - eb61a808-fbfc-49fe-9c7c-a0d926214dc6 - (June 26, 2023)

SJ Add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What number is 10 less than 1037?"},{"varval":"1037 $-$ 10 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"What number is 9 less than 708?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n| 708 $-$ 9 | \\= (708 $-$ 10) + 1 |\n| | \\= 698 + 1 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"What number is 9 less than 404?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n| 404 $-$ 9 | \\= (404 $-$ 10) + 1 |\n| | \\= 394 + 1 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"What number is 19 less than 882?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n| 882 $-$ 19 | \\= (882 $-$ 20) + 1 |\n| | \\= 862 + 1 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"What number is 19 less than 748?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n| 748 $-$ 19 | \\= (748 $-$ 20) + 1 |\n| | \\= 728 + 1 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"What number is 29 less than 977?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n| 977 $-$ 29 | \\= (977 $-$ 30) + 1 |\n| | \\= 947 + 1 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Number, NAP_100051 - 63145424-efc9-44ed-a88b-68cf6a47e30a - (June 26, 2023)

SJ Add/Subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jonas was packing bananas in boxes that he would sell at the market.\n\nHe packed 8 boxes and had an extra 4 kilograms of bananas left over that he would sell individually.\n\nIf each box contained 9 kilograms of bananas, which of the following number sentences shows how many kilograms of bananas there were in total?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ----------------------- | ---------------------- |\n| Total kilograms of bananas | \\= (8 $\\times$ 9) + 4 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Mort was packing tiger prawns in boxes that he would sell at the fish market.\n\nHe packed 11 boxes and had an extra 5 kilograms of tiger prawns left over that he would sell individually.\n\nIf each box contained 8 kilograms of tiger prawns, which of the following number sentences shows how many kilograms of tiger prawns there were in total?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ----------------------- | ---------------------- |\n| Total kilograms of tiger prawns | \\= (11 $\\times$ 8) + 5 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Opal was packing cupcakes in boxes that she would sell at the market.\n\nShe packed 7 boxes and had an extra 5 cupcakes left over that she would sell individually.\n\nIf each box contained 6 cupcakes, which of the following number sentences shows how many cupcakes there were in total?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ----------------------- | ---------------------- |\n| Total cupcakes | \\= (7 $\\times$ 6) + 5 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Winter was packing cookies in boxes that she would sell at the local coffee shop.\n\nShe packed 5 boxes and had an extra 8 cookies left over that she would sell individually.\n\nIf each box contained 10 cookies, which of the following number sentences shows how many cookies there were in total?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ----------------------- | ---------------------- |\n| Total cookies | \\= (5 $\\times$ 10) + 8 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Lennox was packing eggs in cartons that she would sell at the local market.\n\nShe packed 7 cartons and had an extra 11 eggs left over that she would sell individually.\n\nIf each carton contained 12 eggs, which of the following number sentences shows how many eggs there were in total?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ----------------------- | ---------------------- |\n| Total kilograms of bananas | \\= (7 $\\times$ 12) + 11 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Brax was packing grapes in boxes that he would sell at the market.\n\nHe packed 4 boxes and had an extra 70 kilograms of grapes left over that he would sell individually.\n\nIf each box contained 100 kilograms of grapes, which of the following number sentences shows how many kilograms of grapes there were in total?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ----------------------- | ---------------------- |\n| Total kilograms of bananas | \\= (4 $\\times$ 100) + 70 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Number, NAP_10045 - ffe4c8b8-c47f-4499-a159-7afbbc01109a - (June 25, 2023)

SJ Multiply/Divide

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ezra swam 1800 metres during training on Wednesday.\n\nIsaiah swam half as far as Ezra.\n\nHow far did Isaiah swim?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Isaiah's distance | \\= 1800 $\\div$ 2 |\n| | \\= {{{correctAnswer}}} metres|\n\n</div>\n"}]},{"vars":[{"varval":"Jordy has 20 lollipops.\n\nJock has half as many lollipops as Jordy.\n\nHow many lollipops does Jock have?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Jock's lollipops| \\= 20 $\\div$ 2 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Sadie caught 18 fish.\n\nCora caught one third as many fish as Sadie.\n\nHow many fish did Cora catch?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Cora's fish | \\= 18 $\\div$ 3 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Serenity has 28 cupcakes.\n\nBliss has one half the number of cupcakes that Serenity has.\n\nHow many cupcakes does Bliss have?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Bliss's cupcakes | \\= 28 $\\div$ 2 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Mateo picked 64 kilograms of peaches.\n\nConstance picked one half the number of kilograms of peaches that Mateo picked.\n\nHow many kilograms of peaches did Constance pick?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Constance's peaches | \\= 64 $\\div$ 2 |\n| | \\= {{{correctAnswer}}} kilograms|\n\n</div>\n"}]},{"vars":[{"varval":"Wyatt rode 160 kilometres on his bike over the weekend.\n\nCarter rode half as far as Wyatt.\n\nHow far did Carter ride over the weekend?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Carter's distance | \\= 160 $\\div$ 2 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]}]

Number, NAP_10043 - e91c6afa-6092-413e-b4c2-cb60f758bfbb - (June 25, 2023)

SJ Multiply/Divide

<div class="sm_mode"> {{{question}}} What number makes the above number sentence correct? </div>

[{"vars":[{"varval":"80 $\\div$ 8 = 5 $\\times$ <span class=\"sm-text\">?</span>"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|80 $\\div$ 8|= 10|\n|5 $\\times$ <span class=\"sm-text\">?</span>|= 10|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"30 $\\div$ 5 = 2 $\\times$ <span class=\"sm-text\">?</span>"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|30 $\\div$ 5|= 6|\n|2 $\\times$ <span class=\"sm-text\">?</span>|= 6|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"32 $\\div$ 4 = 2 + <span class=\"sm-text\">?</span>"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|32 $\\div$ 4|= 8|\n|2 + <span class=\"sm-text\">?</span>|= 8|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"3 $\\times$ 7 = 17 + <span class=\"sm-text\">?</span>"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|3 $\\times$ 7|= 21|\n|17 + <span class=\"sm-text\">?</span>|= 21|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"13 + 9 = 2 $\\times$ <span class=\"sm-text\">?</span>"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|13 + 9|= 22|\n|2 $\\times$ <span class=\"sm-text\">?</span>|= 22|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"5 $\\times$ 4 = 15 + <span class=\"sm-text\">?</span>"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|5 $\\times$ 4|= 20|\n|15 + <span class=\"sm-text\">?</span>|= 20|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]}]

Number, NAP_10041 - e0caac66-832c-4978-af5b-9c11568103c1 - (June 24, 2023)

SJ Multiply/Divide

<div class="sm_mode"> {{{question}}} What number makes the above number sentence correct? </div>

[{"vars":[{"varval":"\n20 $\\div$ <span class=\"sm-text\">?</span> = 10 $\\div$ 2\n\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|10 $\\div$ 2|= 5|\n|20 $\\div$ <span class=\"sm-text\">?</span>|= 5|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"30 $\\div$ <span class=\"sm-text\">?</span> = 15 $\\div$ 3"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|15 $\\div$ 3|= 5|\n|30 $\\div$ <span class=\"sm-text\">?</span>|= 5|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"40 $\\div$ <span class=\"sm-text\">?</span> = 20 $\\div$ 5"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|20 $\\div$ 5|= 4|\n|40 $\\div$ <span class=\"sm-text\">?</span>|= 4|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"60 $\\div$ <span class=\"sm-text\">?</span> = 30 $\\div$ 3"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|30 $\\div$ 3|= 10|\n|60 $\\div$ <span class=\"sm-text\">?</span>|= 10|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"42 $\\div$ <span class=\"sm-text\">?</span> = 21 $\\div$ 3."},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|21 $\\div$ 3|= 7|\n|42 $\\div$ <span class=\"sm-text\">?</span>|= 7|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"36 $\\div$ <span class=\"sm-text\">?</span> = 18 $\\div$ 6"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|18 $\\div$ 6|= 3|\n|36 $\\div$ <span class=\"sm-text\">?</span>|= 3|\n\n</div>\n<br>\nTherefore, <span class=\"sm-text\">?</span> = {{{correctAnswer}}}"}]}]

Number, NAP_10037 - 4106ceda-2ac7-47d4-9050-05647b32c7c1 - (June 24, 2023)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Cindy had a box of apples.\n\nShe gave 4 of her friends 6 apples each and had 2 apples left over for herself.\n\nHow many apples, in total, were in the box?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total apples|= 4 $\\times$ 6 + 2|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Chablis had a bag of musksticks.\n\nShe gave 4 of her friends 5 musksticks each and had 3 left over for herself. \n\nHow many musksticks, in total, were in the bag?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total musksticks|= 4 $\\times$ 5 + 3|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Paisley had a bag of coins.\n\nShe gave 6 of her friends 3 coins each and had 2 left over for herself. \n\nHow many coins, in total, were in the bag?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total coins|= 6 $\\times$ 3 + 2|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Autumn had a bag of pine cones.\n\nShe gave 3 of her friends 11 pine cones each and had 7 left over for herself. \n\nHow many pine cones, in total, were in the bag?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total pine cones|= 3 $\\times$ 11 + 7|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Quinn had a bunch of flowers.\n\nShe gave 4 of her friends 8 flowers each and had 7 left over for herself. \n\nHow many flowers, in total, were in the bunch?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total flowers|= 4 $\\times$ 8 + 7|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Vickery had a box of apples.\n\nHe gave 5 of his friends 6 apples each and had 5 left over for himself. \n\nHow many apples, in total, were in the box?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total musksticks|= 5 $\\times$ 6 + 5|\n| |= {{{correctAnswer}}}|\n\n</div>"}]}]

Number, NAP_10037 - fe5177de-2baf-4311-a735-31c6bd1b2701 - (June 24, 2023)

SJ Multiply/divide

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Cassie has 14 cookies.\n\nShe needs to divide the cookies into packets of 3.\n\nHow many cookies will she have left over?\n"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|14 $\\div$ 3|= 4 remainder 2|\n\n</div>\n<br>\nTherefore, there will be {{{correctAnswer}}} cookies leftover."}]},{"vars":[{"varval":"Madge has 25 oranges.\n\nShe needs to divide the oranges into packets of 4.\n\nHow many oranges will she have left over?"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|25 $\\div$ 4|= 6 remainder 1|\n\n</div>\n<br>\nTherefore, there will be {{{correctAnswer}}} orange leftover."}]},{"vars":[{"varval":"Bryn has 50 coloured discs.\n\nHe needs to divide the coloured discs into packets of 8.\n\nHow many coloured discs will he have left over?"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|50 $\\div$ 8|= 6 remainder 2|\n\n</div>\n<br>\nTherefore, there will be {{{correctAnswer}}} coloured discs leftover."}]},{"vars":[{"varval":"Bonnie has 33 pairs of socks.\n\nShe needs to divide the pairs of socks into packets of 5.\n\nHow many pairs of socks will she have left over?"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|33 $\\div$ 5|= 6 remainder 3|\n\n</div>\n<br>\nTherefore, there will be {{{correctAnswer}}} pairs of socks leftover."}]},{"vars":[{"varval":"Violet has 36 roses.\n\nShe needs to divide the roses into bunches of 8.\n\nHow many roses will she have left over?"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|36 $\\div$ 8|= 4 remainder 4|\n\n</div>\n<br>\nTherefore, there will be {{{correctAnswer}}} roses leftover."}]},{"vars":[{"varval":"Addison has 51 cupcakes.\n\nShe needs to divide the cupcakes into packets of 4.\n\nHow many cupcakes will she have left over?"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|51 $\\div$ 4|= 12 remainder 3|\n\n</div>\n<br>\nTherefore, there will be {{{correctAnswer}}} cupcakes leftover."}]},{"vars":[{"varval":"Bentley has 23 vintage cars.\n\nHe needs to fit the vintage cars into 5 garages.\n\nHow many vintage cars will be left without a garage?"},{"varval":"sm_nogap Number of cars remaining\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|23 $\\div$ 5|= 4 remainder 3|\n\n</div>\n<br>\nTherefore, there will be {{{correctAnswer}}} vintage cars without a garage."}]}]

Number, NAP_10035 - 86ff14ec-fe5a-44b4-b574-84cc145d4ab1 - (June 24, 2023)

SJ Multiply/Divide

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Mark has these ice creams.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/12x-ice-cream-2-min.svg 400 indent vpad\n\nHe shares the ice creams equally between his 3 friends.\n\nHow many ice creams does each friend receive?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of ice creams each | \\= 12 $\\div$ 3|\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n\n"}]},{"vars":[{"varval":"Jannie has these ice creams.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/12x-ice-cream-2-min.svg 400 indent vpad\n\nHe shares the ice creams equally between his 4 friends.\n\nHow many ice creams does each friend receive?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of ice creams each | \\= 12 $\\div$ 4|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Bernice has these apples.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/15-x-apple-1-min.svg 350 indent vpad\n\nShe shares the apples equally between her 5 friends.\n\nHow many apples does each friend receive?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of apples each | \\= 15 $\\div$ 5|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Candy has these apples.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/15-x-apple-1-min.svg 350 indent vpad\n\nShe shares the apples equally between her 3 friends.\n\nHow many apples does each friend receive?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of apples each | \\= 15 $\\div$ 3|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Jenna has these marbles.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/2-x-marbles-9-min.svg 350 indent vpad\n\nShe shares the marbles equally between her 3 friends.\n\nHow many marbles does each friend receive?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of marbles each | \\= 18 $\\div$ 3|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Nora has these marbles.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/2-x-marbles-9-min.svg 350 indent vpad\n\nShe shares the marbles equally between her 6 friends.\n\nHow many marbles does each friend receive?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of marbles each | \\= 18 $\\div$ 6|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Number, NAP_10031 - 307d977e-4b11-4827-b7fc-c00f23b4e47c - (June 23, 2023)

SJ multiply/divide

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Here are some sheep in a field.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/sheep-4-min.svg 450 indent vpad\n\nWhich of the following is **NOT** a way to work out the total number of legs on the sheep?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of legs | \\= number of sheep $\\times$ 4|\n| |\\= 4 $\\times$ 4|\n| | \\= 16 |\n\n</div>\n\nOption 1 = 8\n\nOption 2 = 16\n\nOption 3 = 16\n\nOption 4 = 16\n\nTherefore , {{{correctAnswer}}} is not a way to work out the number of legs.\n"}]},{"vars":[{"varval":"Here are some birthday cakes with candles.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/3xcake-5.svg 400 indent vpad\n\nWhich of the following is **NOT** a way to work out the total number of candles on the cakes?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of candles | \\= number of cakes $\\times$ 5|\n| |\\= 3 $\\times$ 5|\n| | \\= 15 |\n\n</div>\n\nOption 1 = 15\n\nOption 2 = 9\n\nOption 3 = 15\n\nOption 4 = 15\n\nTherefore , {{{correctAnswer}}} is not a way to work out the number of candles."}]},{"vars":[{"varval":"Here are some birthday cakes with candles.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/7xcake-3-min.svg 300 indent vpad\n\nWhich of the following is **NOT** a way to work out the total number of candles on the cakes?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of candles | \\= number of cakes $\\times$ 3|\n| |\\= 7 $\\times$ 3|\n| | \\= 21 |\n\n</div>\n\nOption 1 = 21\n\nOption 2 = 21\n\nOption 3 = 21\n\nOption 4 = 49\n\nTherefore , {{{correctAnswer}}} is not a way to work out the number of candles."}]},{"vars":[{"varval":"Here are some birthday cakes with candles.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/6xcake-5-min.svg 350 indent vpad\n\nWhich of the following is **NOT** a way to work out the total number of candles on the cakes?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of candles | \\= number of cakes $\\times$ 5|\n| |\\= 6 $\\times$ 5|\n| | \\= 30 |\n\n</div>\n\nOption 1 = 30\n\nOption 2 = 30\n\nOption 3 = 36\n\nOption 4 = 30\n\nTherefore , {{{correctAnswer}}} is not a way to work out the number of candles."}]},{"vars":[{"varval":"Here are some birthday cakes with candles.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/4xcake-7-min.svg 550 indent vpad\n\nWhich of the following is **NOT** a way to work out the total number of candles on the cakes?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of candles | \\= number of cakes $\\times$ 7|\n| |\\= 4 $\\times$ 7|\n| | \\= 28 |\n\n</div>\n\nOption 1 = 16\n\nOption 2 = 28\n\nOption 3 = 28\n\nOption 4 = 28\n\nTherefore , {{{correctAnswer}}} is not a way to work out the number of candles."}]},{"vars":[{"varval":"Here are some cows in a field.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/6xcow-1-min.svg 400 indent vpad\n\nWhich of the following is **NOT** a way to work out the total number of legs on the cows?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Number of legs | \\= number of cows $\\times$ 4|\n| |\\= 6 $\\times$ 4|\n| | \\= 24 |\n\n</div>\n\nOption 1 = 24\n\nOption 2 = 24\n\nOption 3 = 36\n\nOption 4 = 24\n\nTherefore , {{{correctAnswer}}} is not a way to work out the number of legs.\n"}]}]

Number, NAP_10025 - e833645b-8551-4ecc-b182-7b3e91b0fc51 - (June 22, 2023)

SJ Number and Place

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which group of numbers is ordered from smallest to largest?"},{"varval":"Considering each option in order from smallest to largest:\n\nOption 4 is in the correct order. \n\n>> 405, 450, 504, 540\n"}]},{"vars":[{"varval":"\nWhich group of numbers is ordered from smallest to largest?"},{"varval":"Considering each option in order from smallest to largest:\n\nOption 3 is in the correct order. \n\n>> 238, 283, 328, 382"}]},{"vars":[{"varval":"Which group of numbers is ordered from smallest to largest?"},{"varval":"Considering each option in order from smallest to largest:\n\nOption 1 is in the correct order. \n\n>> 576, 657, 675, 765"}]},{"vars":[{"varval":"Which group of numbers is ordered from smallest to largest?"},{"varval":"Considering each option in order from smallest to largest:\n\nOption 2 is in the correct order. \n\n>> 898, 899, 989, 998 "}]},{"vars":[{"varval":"Which group of numbers is ordered from smallest to largest?"},{"varval":"Considering each option in order from smallest to largest:\n\nOption 3 is in the correct order. \n\n>> 767, 770, 780, 787 "}]},{"vars":[{"varval":"Which group of numbers is ordered from smallest to largest?"},{"varval":"Considering each option in order from smallest to largest:\n\nOption 2 is in the correct order. \n\n>> 345, 354, 435, 453"}]}]

Number, NAP 10021 - fce36ddf-00f0-44f1-bd99-7ee0f797da0e - (June 22, 2023)

SJ Number and Place

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which group of numbers is written from largest to smallest?"},{"varval":"Considering each option in order from largest to smallest:\n\nOption 2 is in the correct order. \n\n>> 787, 780, 770, 767\n\n"}]},{"vars":[{"varval":"Which group of numbers is written from largest to smallest?"},{"varval":"Considering each option in order from largest to smallest:\n\nOption 3 is in the correct order. \n\n>> 453, 435, 354, 345\n\n"}]},{"vars":[{"varval":"Which group of numbers is written from largest to smallest?"},{"varval":"Considering each option in order from largest to smallest:\n\nOption 2 is in the correct order. \n\n>> 998, 989, 899, 898\n\n"}]},{"vars":[{"varval":"Which group of numbers is written from largest to smallest?"},{"varval":"Considering each option in order from largest to smallest:\n\nOption 4 is in the correct order. \n\n>> 765, 675, 657, 576\n\n"}]},{"vars":[{"varval":"Which group of numbers is written from largest to smallest?"},{"varval":"Considering each option in order from largest to smallest:\n\nOption 1 is in the correct order. \n\n>> 382, 328, 283, 238\n\n"}]},{"vars":[{"varval":"Which group of numbers is written from largest to smallest?"},{"varval":"Considering each option in order from largest to smallest:\n\nOption 4 is in the correct order. \n\n>> 540, 504, 450, 405\n\n"}]}]

Number, NAP_10012 - 0ae4a819-e386-456c-9ab3-f8e3d902be05 - (June 22, 2023)

SJ Number and Place

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these numbers has the smallest value?"},{"varval":"Arrange the numbers from smallest to the largest. \n\n>>2035 < 2305 < 2350 < 2530\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the smallest number.\n\n"}]},{"vars":[{"varval":"Which of these numbers has the smallest value?"},{"varval":"Arrange the numbers from smallest to the largest. \n\n>>3047 < 3074 < 3407 < 3470\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the smallest number."}]},{"vars":[{"varval":"Which of these numbers has the smallest value?"},{"varval":"Arrange the numbers from smallest to the largest. \n\n>>1021 < 1102 < 1120 < 1201\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the smallest number."}]},{"vars":[{"varval":"Which of these numbers has the smallest value?"},{"varval":"Arrange the numbers from smallest to the largest. \n\n>>709 < 719 < 790 < 791\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the smallest number."}]},{"vars":[{"varval":"Which of these numbers has the smallest value?"},{"varval":"Arrange the numbers from smallest to the largest. \n\n>>123 < 132 < 231 < 312\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the smallest number."}]},{"vars":[{"varval":"Which of these numbers has the smallest value?"},{"varval":"Arrange the numbers from smallest to the largest. \n\n>>4055 < 4505 < 4550 < 5045\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the smallest number."}]}]

Number, NAP_10011 - 6846339c-2aad-4772-80d1-dab180e14812 - (June 19, 2023)

SJ Add/Subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"On Sunday 56 millimetres of snow fell at Perisher. On Monday another 25 millimetres fell.\n\nHow much snow fell, in total, at Perisher on Sunday and Monday?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 56 + 25| = 50 + 6 + 20 + 5|\n|| = 70 + 11|\n| | \\= {{{correctAnswer}}} millimetres|\n\n</div>"}]},{"vars":[{"varval":"During September Jane's tomato plants grew 18 millimetres and in October they grew another 37 millimetres.\n\nHow much did Jane's tomato plants grow during September and October?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 18 + 37| = 10 + 8 + 30 + 7|\n|| = 40 + 15|\n| | \\= {{{correctAnswer}}} millimetres |\n\n</div>"}]},{"vars":[{"varval":"Cyrus bought a 58 millimetre carp for his garden pond. \n\nWhen he measured it the following year it had grown another 23 millimetres.\n\nHow long was Cyrus's carp when he measured it the following year?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 58 + 23| = 50 + 8 + 20 + 3|\n|| = 70 + 11|\n| | \\= {{{correctAnswer}}} millimetres |\n\n</div>"}]},{"vars":[{"varval":"Last week bailey worked for 27 hours and this week he worked 29 hours.\n\nHow many hours, in total, has Bailey worked over the last two weeks."},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 27 + 29| = 20 + 7 + 20 + 9|\n|| = 40 + 16|\n| | \\= {{{correctAnswer}}} hours |\n\n</div>"}]},{"vars":[{"varval":"Last week Maude harvested 87 kilograms of strawberries from her hobby farm. This week she harvested another 72 kilograms of strawberries.\n\nHow many kilograms of strawberries has Maude harvested in the last two weeks?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 87 + 72| = 80 + 7 + 70 + 2|\n|| = 150 + 9|\n| | \\= {{{correctAnswer}}} kilograms |\n\n</div>"}]},{"vars":[{"varval":"Bernice has a weekend market stall. On Saturday she sold 48 kilograms of beans and on Sunday she sold 67 kilograms of beans.\n\nHow many kilograms of beans did Bernice sell on the weekend?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 48 + 67| = 40 + 8 + 60 + 7|\n|| = 100 + 15|\n| | \\= {{{correctAnswer}}} kilograms|\n\n</div>"}]}]

Number, NAP_10007 - 4bc18adb-19ef-4595-a498-a23f7b482afa - (June 19, 2023)

SJ Add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Millie is 18 and her mother is 31 years older than Millie.\n\nHow old is Millie's mother?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 18 + 31| = 10 + 8 + 30 + 1|\n|| = 40 + 9|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Jordy is 27 and his grandmother is 63 years older than Jordy.\n\nHow old is Jordy's grandmother?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 27 + 63| = 20 + 7 + 60 + 3|\n|| = 80 + 10|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Moulan is 16 and her grandfather is 57 years older than Moulan.\n\nHow old is Moulan's grandfather?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 16 + 57| = 10 + 6 + 50 + 7|\n|| = 60 + 13|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Jiah is 26 and her father is 48 years older than Jiah.\n\nHow old is Jiah's father?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 26 + 48| = 20 + 6 + 40 + 8|\n|| = 60 + 14|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Kwan is 38 and his brother is 17 years older than Kwan.\n\nHow old is Kwan's brother?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 38 + 17| = 30 + 8 + 10 + 7|\n|| = 40 + 15|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Aliyeh is 22 and her sister is 29 years older than Aliyeh.\n\nHow old is Aliyeh's sister?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 22 + 29| = 20 + 2 + 20 + 9|\n|| = 40 + 11|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Number, NAP_10009 - 6a60bde2-217f-42a1-966d-8fa006caa5ca - (June 12, 2023)

SJ Financial/Money 3-6

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following groups of coins has the highest value?"},{"varval":"Consider options: \n\nOption 1: \n\n0.50 + 0.20 + 0.50 + 0.20 + 0.20 + 0.10 + 0.10 = $1.80 \n\nOption 2: \n\n0.50 + 0.10 + 0.10 + 0.50 + 0.50 + 0.05 = $1.75\n\nOption 3:\n\n0.50 + 0.50 + 0.10 + 0.10 + 0.50 + 0.05 + 0.10 = $1.85\n\nOption 4:\n\n$1.00 + 0.20 + 0.20 + 0.05 + 0.10 + 0.10 = $1.65\n\nTherefore, Option 3 is the largest.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of the following groups of coins has the smallest value?"},{"varval":"Consider options: \n\nOption 1: \n\n0.50 + 0.20 + 0.50 + 0.20 + 0.20 + 0.10 + 0.10 = $1.80 \n\nOption 2: \n\n$1.00 + 0.20 + 0.20 + 0.05 + 0.10 + 0.10 = $1.65\n\nOption 3:\n\n0.50 + 0.50 + 0.10 + 0.10 + 0.50 + 0.05 + 0.10 = $1.85\n\nOption 4:\n\n0.50 + 0.10 + 0.10 + 0.50 + 0.50 + 0.05 = $1.75\n\nTherefore, Option 2 is the smallest.\n\n{{{correctAnswer}}}\n"}]}]

Number, NAP_10006 - 0b5c5efe-d523-48e4-8787-49f4ef3f78f9 - (June 10, 2023)

SJ Non-calc 7/8 Add/subtract 4/5/6

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"On a fish farm 162 salmon were released in the first month and 128 in the second month.\n\nIn total, how many fish were released in these two months?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 162 + 128| = 100 + 60 + 2 + 100 + 20 + 8|\n|| = 200 + 80 + 10|\n|| = 200 + 90|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"On a farm there are 145 cows and 63 sheep.\n\nIn total, how many animals are there on the farm?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 145 + 63| = 100 + 40 + 5 + 60 + 3|\n|| = 100 + 100 + 8|\n|| = 200 + 8|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"On a science excursion there are 165 year 7 students and 142 year 9 students.\n\nIn total, how many students are there on the science excursion?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 165 + 142| = 100 + 60 + 5 + 100 + 40 + 2|\n|| = 200 + 100 + 7|\n|| = 300 + 7|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"On an Air New Zealand flight there are 243 economy passengers and 87 premium economy passengers.\n\nHow many passengers are on the flight altogether?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 243 + 87| = 200 + 40 + 3 + 80 + 7|\n|| = 200 + 120 + 10|\n|| = 320 + 10|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"In an orchard, there are 125 orange trees and 135 lemon trees.\n\nHow many citrus trees are there in the orchard altogether?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 125 + 135| = 100 + 20 + 5 + 100 + 30 + 5|\n|| = 200 + 50 + 10|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Maryanne watches 2 movies on Saturday afternoon.\n\nThe first movie runs for 127 minutes and the second for 92 minutes.\n\nFor how many minutes, in total, did Maryanne watch movies on Saturday afternoon?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 127 + 92| = 100 + 20 + 7 + 90 + 2|\n|| = 100 + 20 + 90 + 9|\n|| = 100 +110 +9\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Number, NAP_10006 - 334c484e-45be-4e1c-984e-2b66937d7cd6 - (June 08, 2023)

SJ_add/subtract and non-calc

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these gives the largest total?"},{"varval":"sm_nogap Checking options:\n\n<div class=\"aligned\">\n\n>>| | |\n| --------------------- | -------------- |\n| 4 + 200| = 204|\n|20 + 400| = 420|\n|2 + 400| = 402|\n|40 + 200| = 240|\n\n</div>\n<br>\nTherefore, option 2 gives the largest total\n"}]},{"vars":[{"varval":"Which of these gives the smallest total?"},{"varval":"sm_nogap Checking options:\n\n<div class=\"aligned\">\n\n>>| | |\n| --------------------- | -------------- |\n| 4 + 200| = 204|\n|20 + 400| = 420|\n|2 + 400| = 402|\n|40 + 200| = 240|\n\n</div>\n<br>\nTherefore, option 1 gives the smallest total\n"}]},{"vars":[{"varval":"Which of these gives the largest total?"},{"varval":"sm_nogap Checking options:\n\n<div class=\"aligned\">\n\n>>| | |\n| --------------------- | -------------- |\n|3 + 500| = 503|\n|50 + 300| = 350|\n|30 + 500| = 530|\n|5 + 300| = 305|\n\n\n</div>\n<br>\nTherefore, option 3 gives the largest total"}]},{"vars":[{"varval":"Which of these gives the smallest total?"},{"varval":"sm_nogap Checking options:\n\n<div class=\"aligned\">\n\n>>| | |\n| --------------------- | -------------- |\n|3 + 500| = 503|\n|50 + 300| = 350|\n|30 + 500| = 530|\n|5 + 300| = 305|\n\n\n</div>\n<br>\nTherefore, option 4 gives the smallest total"}]},{"vars":[{"varval":"Which one of these gives the largest total?"},{"varval":"sm_nogap Checking options:\n\n<div class=\"aligned\">\n\n>>| | |\n| --------------------- | -------------- |\n|9 + 800| = 809|\n|8 + 900| = 908|\n|80 + 900| = 980|\n|90 + 800| = 890|\n\n\n</div>\n<br>\nTherefore, option 3 gives the largest total"}]},{"vars":[{"varval":"Which of these gives the smallest total?"},{"varval":"sm_nogap Checking options:\n\n<div class=\"aligned\">\n\n>>| | |\n| --------------------- | -------------- |\n|9 + 800| = 809|\n|80 + 900| = 980|\n|8 + 900| = 908|\n|90 + 800| = 890|\n\n\n</div>\n<br>\nTherefore, option 1 gives the smallest total."}]}]

Number, NAP_10005 - 12739f65-285e-406e-88b5-0512d89ceaeb - (June 08, 2023)

SJ add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Bridget has a part time job. \n\nIn February she was paid $65 and $74.\n\nHow much, in dollars, did Bridget earn in February?\n"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $65 + $74| = $60 + $5 + $70 + $4|\n|| = $130 + $5 + $4|\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Nyal is saving for a holiday. \n\nSo far he has saved $84 from mowing lawns and $66 from his birthday money.\n\nHow much, in dollars, has Nyal saved altogether?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $84 + $66| = $80 + $4 + $60 + $6|\n|| = $140 + $4 + $6|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Kyra and Kelly both have part time jobs.\n\nLast week Kyra was paid $39 and Kelly was paid $48.\n\nHow much have they been paid, in dollars, in the last week?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $39 + $48| = $30 + $9 + $40 + $8|\n|| = $70 + $9 + $8|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"James and Vinnie both collect marbles.\n\nJames has 37 and Vinnie has 55.\n\nHow many marbles do they have altogether?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 37 + 55| = 30 + 7 + 50 + 5|\n|| = 80 + 7 + 5|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Jimmy and May are collecting eggs at their uncle's chicken farm.\n\nJimmy has collected 18 eggs and May has collected 24.\n\nHow many eggs have they collected altogether?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 18 + 24| = 10 + 8 + 20 + 4|\n|| = 30 + 8 + 4|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"On Monday the school canteen had 39 bananas and 25 oranges.\n\nHow many pieces of fruit did the canteen have altogether? "},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 39 + 25| = 30 + 9 + 20 + 5|\n|| = 50 + 9 + 5|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Number, NAP_10004 - 0e35b2a8-7cb5-4d7e-90c7-e53d80603b80 - (June 08, 2023)

SJ_Ratio/Rates

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Tina lives 2 kilometres from her school.\n\nShe walks to school at a constant speed of 4 kilometres per hour.\n\nHow many minutes does it take for Tina to walk to school?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------- |-------|\n| 4 kilometres/hour|\\= 4 kilometres/60 minutes |\n| |\\= 2 kilometres/{{{correctAnswer}}} minutes |\n\n</div>\n<br>\nTherefore it takes Tina {{{correctAnswer}}} minutes to walk to school."}]},{"vars":[{"varval":"Jake lives 2 kilometres from his work.\n\nHe walks to work at a constant speed of 6 kilometres per hour.\n\nHow many minutes will it take for Jake to walk to work?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------- |-------|\n| 6 kilometres/hour|\\= 6 kilometres/60 minutes |\n| |\\= 2 kilometres/{{{correctAnswer}}} minutes |\n\n</div>\n<br>\nTherefore it takes Jake {{{correctAnswer}}} minutes to walk to work."}]},{"vars":[{"varval":"Dan lives 5 kilometres from the football stadium.\n\nHe runs to the stadium at a constant speed of 10 kilometres per hour.\n\nHow many minutes will it take for Dan to run to the football stadium?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------- |-------|\n| 10 kilometres/hour|\\= 10 kilometres/60 minutes |\n| |\\= 5 kilometres/{{{correctAnswer}}} minutes |\n\n</div>\n<br>\nTherefore it takes Dan {{{correctAnswer}}} minutes to run to the football stadium."}]},{"vars":[{"varval":"Pixie lives 12 kilometres from the tram station.\n\nShe walks to the station at a constant speed of 8 kilometres per hour.\n\nHow many minutes will it take for Pixie to walk to the station?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------- |-------|\n| 8 kilometres/hour|\\= 8 kilometres/60 minutes |\n||\\= 4 kilometres/30 minutes |\n| |\\= 12 kilometres/{{{correctAnswer}}} minutes |\n\n</div>\n<br>\nTherefore it takes Pixie {{{correctAnswer}}} minutes to walk to the station."}]},{"vars":[{"varval":"Barak lives 50 kilometres from his work.\n\nHe drives to work at a constant speed of 75 kilometres per hour.\n\nHow many minutes will it take for Barak to drive to work?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------- |-------|\n| 75 kilometres/hour|\\= 75 kilometres/60 minutes |\n||\\= 25 kilometres/20 minutes |\n| |\\= 50 kilometres/{{{correctAnswer}}} minutes |\n\n</div>\n<br>\nTherefore it takes Barak {{{correctAnswer}}} minutes to drive to work."}]},{"vars":[{"varval":"Michelle lives 60 kilometres from her work.\n\nShe drives to work at a constant speed of 80 kilometres per hour.\n\nHow many minutes will it take for Michelle to drive to work?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------- |-------|\n| 80 kilometres/hour|\\= 80 kilometres/60 minutes |\n||\\= 40 kilometres/30 minutes |\n||\\= 20 kilometres/15 minutes |\n| |\\= 60 kilometres/{{{correctAnswer}}} minutes |\n\n</div>\n<br>\nTherefore it takes Michelle {{{correctAnswer}}} minutes to drive to work."}]}]

Number, NAP_10003 - 62c22fa1-914c-4466-9eeb-4cc73f83f663 - (June 08, 2023)

SJ_Ratio/Rates

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Esther can run 5 kilometres in 20 minutes.\n\nRunning at the same speed, how long will it take Esther to run 3 kilometres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes per kilometre | = $\\dfrac{20}{5}$ |\n| | = 4 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes for 3 kilometres | = 3 $\\times$ 4 |\n| | = {{{correctAnswer}}} minutes|\n\n</div>"}]},{"vars":[{"varval":"Emilio can run 8 kilometres in 40 minutes.\n\nRunning at the same speed, how long will it take Emilio to run 5 kilometres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes per kilometre | = $\\dfrac{40}{8}$ |\n| | = 5 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes for 5 kilometres | = 5 $\\times$ 5 |\n| | = {{{correctAnswer}}} minutes|\n\n</div>"}]},{"vars":[{"varval":"Izzy can run 3 kilometres in 18 minutes.\n\nRunning at the same speed, how long will it take Izzy to run 7 kilometres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes per kilometre | = $\\dfrac{18}{3}$ |\n| | = 6 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes for 7 kilometres | = 7 $\\times$ 6 |\n| | = {{{correctAnswer}}} minutes|\n\n</div>"}]},{"vars":[{"varval":"Michael can ride 25 kilometres in 50 minutes.\n\nRiding at the same speed, how long will it take Michael to ride 13 kilometres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes per kilometre | = $\\dfrac{50}{25}$ |\n| | = 2 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes for 13 kilometres | = 13 $\\times$ 2 |\n| | = {{{correctAnswer}}} minutes|\n\n</div>"}]},{"vars":[{"varval":"Courtney can walk 5 kilometres in 60 minutes.\n\nWalking at the same speed, how long will it take Courtney to walk 6 kilometres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes per kilometre | = $\\dfrac{60}{5}$ |\n| | = 12 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes for 6 kilometres | = 6 $\\times$ 12 |\n| | = {{{correctAnswer}}} minutes|\n\n</div>"}]},{"vars":[{"varval":"Bron can walk 8 kilometres in 72 minutes.\n\nWalking at the same speed, how long will it take Bron to walk 5 kilometres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes per kilometre | = $\\dfrac{72}{8}$ |\n| | = 9 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Minutes for 5 kilometres | = 5 $\\times$ 9 |\n| | = {{{correctAnswer}}} minutes|\n\n</div>"}]}]

Number, NAP_10002 - d71cb201-6f73-491f-b96a-a7abce2488fa - (June 08, 2023)

SJ_Ratio/Rates

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Freya makes $96 selling 12 cupcakes at the market.\n\nAll her cupcakes are the same price.\n\nHow much money will she make selling 20 cupcakes?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost per cupcake| = 96 $\\div$ 12 |\n| |= $8 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost for 20 cupcakes| = 20 $\\times$ 8 |\n| |= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Bjork makes $1000 selling 10 scarves at the market.\n\nAll her scarves are the same price.\n\nHow much money will she make selling 13 scarves?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost per scarf| = 1000 $\\div$ 10 |\n| |= $100 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost for 13 scarves| = 13 $\\times$ 100 |\n| |= {{{correctAnswer}}} |\n\n</div>\n\n\n"}]},{"vars":[{"varval":"Byron makes $180 selling 20 poetry books on eBay.\n\nAll his poetry books are the same price.\n\nHow much money will he make selling 11 poetry books?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost per poetry book| = 180 $\\div$ 20 |\n| |= $9 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost for 11 poetry books| = 11 $\\times$ 9 |\n| |= {{{correctAnswer}}} |\n\n</div>\n\n\n"}]},{"vars":[{"varval":"Bliss makes $2000 on 10 hair treatments.\n\nAll her hair treatments are the same price.\n\nHow much money will she make for 8 hair treatments?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost per hair treatment| = 2000 $\\div$ 10 |\n| |= $200 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost for 8 hair treatments| = 8 $\\times$ 200 |\n| |= {{{correctAnswer}}} |\n\n</div>\n\n\n"}]},{"vars":[{"varval":"Jack makes $250 000 building 2 granny flats.\n\nAll his granny flats are the same price.\n\nHow much money will he make selling 3 granny flats?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost per granny flat| = 250 000 $\\div$ 2 |\n| |= $125 000 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost for 3 granny flats| = 3 $\\times$ 125 000 |\n| |= {{{correctAnswer}}} |\n\n</div>\n\n\n"}]},{"vars":[{"varval":"Bindy makes $8000 selling 200 tickets to her nature park.\n\nAll the tickets are the same price.\n\nHow much money will she make selling 8 tickets?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost per ticket| = 8000 $\\div$ 200 |\n| |= $40 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| -------|------- |\n|Cost for 8 tickets| = 8 $\\times$ 40 |\n| |= {{{correctAnswer}}} |\n\n</div>\n\n\n"}]}]

Number, NAP_10001 - c9903613-cbe1-43b2-89d5-27a4543dbc7c - (June 07, 2023)

SJ_Ratio/Rates

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Geoff saves $40 each week.\n\nHow long will it take Geoff to save $1600?"},{"varval":"<div class=\"aligned\"> \n\n| | |\n| -----: | -------------------- |\n| Weeks | \\= $\\dfrac{1600}{40}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Anthony saves $300 each month.\n\nHow long will it take him to save $1500?"},{"varval":"<div class=\"aligned\"> \n\n| | |\n| -----: | -------------------- |\n| Months | \\= $\\dfrac{1500}{300}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Joyce saves $25 each week.\n\nHow long will it take for her to save $500?"},{"varval":"<div class=\"aligned\"> \n\n| | |\n| -----: | -------------------- |\n| Weeks | \\= $\\dfrac{500}{25}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Vinh saves $80 per month.\n\nHow many months will it take him to save $560?"},{"varval":"<div class=\"aligned\"> \n\n| | |\n| -----: | -------------------- |\n| Months | \\= $\\dfrac{560}{80}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Vito saves $2.50 per week.\n\nHow long will it take him to save $50?"},{"varval":"<div class=\"aligned\"> \n\n| | |\n| -----: | -------------------- |\n| Weeks | \\= $\\dfrac{50}{2.50}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Chelsea works in a coffee shop and receives tips from customers.\n\nEach day she receives $6 in tips.\n\nHow many days will it take her to have $54 in tips?"},{"varval":"<div class=\"aligned\"> \n\n| | |\n| -----: | -------------------- |\n| Days | \\= $\\dfrac{54}{6}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Number, 234567890 - 03fc61e6-8a68-4f75-a38e-ffdcd42687e1 - (July 18, 2022)

Created new. Q 30 Non Calc 2010

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Barney was picking fruit from his citrus trees.\n\nExactly 40% of the fruit he picked were lemons.\n\nWhat is the smallest number of lemons that he could have picked?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------ | ------------------------------------- |\n| Fraction of lemons | \\= $\\dfrac{40}{100}$ |\n| | \\= $\\dfrac{2}{5}$ |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n$\\Rightarrow$ Smallest number of citrus picked \\= 5\n\n$\\therefore$ Smallest number of lemons picked \\= {{{correctAnswer0}}}\n\n</div>"}]},{"vars":[{"varval":"Po was slicing tomatoes in her restaurant.\n\nExactly 55% of the tomatoes have been sliced.\n\nWhat is the smallest number of tomatoes that she could have already sliced?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------ | ------------------------------------- |\n|Fraction of tomatoes sliced | \\= $\\dfrac{55}{100}$ |\n| | \\= $\\dfrac{11}{20}$ |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n$\\Rightarrow$ Smallest number of tomatoes to be sliced \\= 20\n\n$\\therefore$ Smallest number of tomatoes already sliced \\= {{{correctAnswer0}}}\n\n</div>"}]},{"vars":[{"varval":"Jessie was laying floor tiles in his bathroom.\n\nExactly 46% of the tiles have been laid.\n\nWhat is the smallest number of tiles that he could have already laid?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------ | ------------------------------------- |\n| Fraction of tiles | \\= $\\dfrac{46}{100}$ |\n| | \\= $\\dfrac{23}{50}$ |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n$\\Rightarrow$ Smallest number of tiles to be laid \\= 50\n\n$\\therefore$ Smallest number of tiles already laid \\= {{{correctAnswer0}}}\n\n</div>"}]},{"vars":[{"varval":"Joyce was collecting shells on the beach.\n\nExactly 18% of the shells were pippies.\n\nWhat is the smallest number of pippies that she could have collected?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------ | ------------------------------------- |\n| Fraction of shells| \\= $\\dfrac{18}{100}$ |\n| | \\= $\\dfrac{9}{50}$ |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n$\\Rightarrow$ Smallest number of shells collected \\= 50\n\n$\\therefore$ Smallest number of pippies collected \\= {{{correctAnswer0}}}\n\n</div>"}]},{"vars":[{"varval":"Ali was scuba diving on the Barrier Reef.\n\nExactly 45% of the sharks he sighted were reef sharks.\n\nWhat is the smallest number of reef sharks that he could have sighted?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------ | ------------------------------------- |\n| Fraction of sharks| \\= $\\dfrac{45}{100}$ |\n| | \\= $\\dfrac{9}{20}$ |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n$\\Rightarrow$ Smallest number of sharks sighted \\= 20\n\n$\\therefore$ Smallest number of reef sharks sighted \\= {{{correctAnswer0}}}\n\n</div>"}]},{"vars":[{"varval":"Aubrey recorded the whales he sighted in Hervey Bay during the month of June.\n\nExactly 72% of the whales he sighted were humpbacks.\n\nWhat is the smallest number of humpbacks that he could have sighted?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------ | ------------------------------------- |\n| Fraction of whales| \\= $\\dfrac{72}{100}$ |\n| | \\= $\\dfrac{18}{25}$ |\n\n</div>\n<br>\n<div class=\"aligned\">\n\n$\\Rightarrow$ Smallest number of whales sighted \\= 25\n\n$\\therefore$ Smallest number of humpbacks sighted \\= {{{correctAnswer0}}}\n\n</div>"}]}]

Number, 987654321 - 4af400ac-e767-45ac-a533-b38a3a241541 - (July 14, 2022)

Needs correct Title

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A farmer sells a box of oranges to a supermarket with a 15% markup.\n\n\r\n\r\nThe supermarket then adds a further 20% on the already increased price.\n\n\r\n\r\nWhat is the overall percentage markup on the box of oranges?\n"},{"varval":"Strategy 1\n\n\r\nAssume the box of oranges costs $1.00 (say)\n\n\r\nCost after 15% markup = $1.15\n\n\r\nsm_nogap Cost after further 20% increase\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 1.15 + (20% × 1.15)|\n|= 1.15 + 0.23|\n|= $1.38|\n\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Overall Markup | \\= (1.38 − 1.00) × 100 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\r\n\r\r\n\r\n\nsm_nogap Strategy 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Overall markup | \\= (1 × 1.15 × 1.20) − 1 |\n| | \\= 1.38 − 1.00 |\n|| \\= 0.38|\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"An unrestored Kombi van sells at auction with a 30% markup.\n\n\r\n\r\nThe Kombi is then restored and sold for 60% above the already increased price.\n\n\r\n\r\nWhat is the overall percentage markup on the Kombi van?\n"},{"varval":"Strategy 1\n\n\r\nAssume the Kombi van costs $1.00 (say)\n\n\r\nCost after 30% markup = $1.30\n\n\r\nsm_nogap Cost after further 60% increase\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 1.30 + (60% × 1.30)|\n|= 1.30 + 0.78|\n|= $2.08|\n\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Overall Markup | \\= (2.08 − 1.00) × 100 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\r\n\r\r\n\r\n\nsm_nogap Strategy 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Overall markup | \\= (1 × 1.30 × 1.60) − 1 |\n| | \\= 2.08 − 1.00 |\n|| \\= 1.08|\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A famous painting increased in value in ten years by 25%.\n\n\r\n\r\nThe painting is estimated to increase a further 40% in the next 10 years.\n\n\r\n\r\nWhat is the overall percentage increase in value of the painting after 20 years?\n"},{"varval":"Strategy 1\n\n\r\nAssume the painting is valued at $1.00 (say)\n\n\r\nCost after 25% increase = $1.25\n\n\r\nsm_nogap Value after further 40% increase\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 1.25 + (40% × 1.25)|\n|= 1.25 + 0.50|\n|= $1.75|\n\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Overall increase | \\= (1.75 − 1.00) × 100 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\r\n\r\r\n\r\n\nsm_nogap Strategy 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Overall increase | \\= (1 × 1.25 × 1.40) − 1 |\n| | \\= 1.75 − 1.00 |\n|| \\= 0.75|\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A laptop is sold by the wholesaler with a 15% markup.\n\n\r\n\r\nThe laptop is then sold by the retailer for 40% above the already increased price.\n\n\r\n\r\nWhat is the overall percentage markup on the laptop?\n"},{"varval":"Strategy 1\n\n\r\nAssume the laptop costs $1.00 (say)\n\n\r\nCost after 15% markup = $1.15\n\n\r\nsm_nogap Cost after further 40% increase\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 1.15 + (40% × 1.15)|\n|= 1.15 + 0.46|\n|= $1.61|\n\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Overall Markup | \\= (1.61 − 1.00) × 100 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\r\n\r\r\n\r\n\nsm_nogap Strategy 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Overall markup | \\= (1 × 1.15 × 1.40) − 1 |\n| | \\= 1.61 − 1.00 |\n|| \\= 0.61|\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Courtney's salary increased by 5% last year.\n\n\r\n\r\nHer salary is set to increase by a further 6% this year.\n\n\r\n\r\nWhat is the overall percentage increase in Courtney's salary over the two years?\n"},{"varval":"Strategy 1\n\n\r\nAssume Courtney's salary is $1.00 (say)\n\n\r\nSalary after 5% increase = $1.05\n\n\r\nsm_nogap Cost after further 5% increase\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 1.05 + (5% × 1.05)|\n|= 1.05 + 0.0525|\n|= $1.1025|\n\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Overall Markup | \\= (1.1025− 1.00) × 100 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\r\n\r\r\n\r\n\nsm_nogap Strategy 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Overall markup | \\= (1 × 1.05 × 1.05) − 1 |\n| | \\= 1.1025 − 1.00 |\n|| \\= 0.1025|\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"The price of petrol increased by 22% last month.\n\n\r\n\r\nThe price increase by a further 8% this month.\n\n\r\n\r\nWhat is the overall percentage increase in the price of petrol over the two months?\n"},{"varval":"Strategy 1\n\n\r\nAssume The original price of petrol is $1.00 (say)\n\n\r\nSalary after 22% increase = $1.22\n\n\r\nsm_nogap Cost after further 8% increase\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 1.22 + (8% × 1.22)|\n|= 1.22 + 0.0976|\n|= $1.3176|\n\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Overall Markup | \\= (1.3176− 1.00) × 100 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\r\n\r\r\n\r\n\nsm_nogap Strategy 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Overall markup | \\= (1 × 1.22 × 1.08) − 1 |\n| | \\= 1.3176 − 1.00 |\n|| \\= 0.3176|\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]}]

Number, 133456789 - c4c79513-be07-4555-8bed-50d9022d374c - (July 14, 2022)

Needs a correct Title

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A car dealer decreases the price of a car from $50 000 to $45 000.\n\n\r\n\r\nWhat is the percentage decrease in the price?\n"},{"varval":"sm_nogap Price decrease = 50 000 $−$ 45 000 = $5 000\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Percentage decrease | \\= $\\dfrac{5000}{50000}$ × 100 |\n| | \\= 0.10 × 100 |\n|| \\= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"A department store advertises a sale. John purchases a suit for $300 that was originally priced at $500.\n\n\r\n\r\nWhat is the percentage decrease in the price?\n"},{"varval":"sm_nogap Price decrease = 500 $−$ 300 = $200\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Percentage decrease | \\= $\\dfrac{200}{500}$ × 100 |\n| | \\= 0.40 × 100 |\n|| \\= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"A lounge suite decreases in price from $3300 to $2640.\n\n\r\n\r\nWhat is the percentage decrease in the price?\n"},{"varval":"sm_nogap Price decrease = 3300 $−$ 2640 = $660\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Percentage decrease | \\= $\\dfrac{660}{3300}$ × 100 |\n| | \\= 0.20 × 100 |\n|| \\= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"A supermarket decreases the price of a kilogram of gala apples from $4.50 to $3.60.\n\n\r\n\r\nWhat is the percentage decrease in the price?\n"},{"varval":"sm_nogap Price decrease = 4.50 $−$ 3.60 = $0.90\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Percentage decrease | \\= $\\dfrac{0.9}{4.50}$ × 100 |\n| | \\= 0.20 × 100 |\n|| \\= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"A family holiday to Disneyworld in Florida is reduced in price from $4100 to $3895.\n\n\r\n\r\nWhat is the percentage decrease in the price?"},{"varval":"sm_nogap Price decrease = 4100 $−$ 3895 = $205\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Percentage decrease | \\= $\\dfrac{205}{4100}$ × 100 |\n| | \\= 0.05 × 100 |\n|| \\= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"A family ticket to Taronga Zoo in Sydney reduced in price from $90 to $73.80.\n\nWhat is the percentage decrease in the price?"},{"varval":"sm_nogap Price decrease = 90 $−$ 73.80 = $16.20\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Percentage decrease | \\= $\\dfrac{16.20}{90}$ × 100 |\n| | \\= 0.18 × 100 |\n|| \\= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]}]

30144.1 - 9170455b-f55e-44a7-b2ca-5e98428e1857 - (July 02, 2022)

A version of easier questions on 30144. Without the variable focus.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Brandon purchased one Lacoste Big Croc Tee and one Fila PLR Polo in a sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q35_var1-r.png 900 indent vpad\n\nHow much does Brandon save, in total, off the normal price of these two items?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Big Croc Tee | = 70 $-$ 49 |\n| | = $21 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Polo | = 58 $-$ 43.50 |\n| | = $14.50 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\therefore$ Total savings | = 21 + 14.50 |\n| | = {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Gagadeep purchased one Lacoste Big Croc Tee and one pair of Lacoste Novak Shorts in a sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q35_var1-r.png 900 indent vpad\n\nHow much does Gagadeep save, in total, off the normal price of these two items?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Big Croc Tee | = 70 $-$ 49 |\n| | = $21 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Shorts | = 80 $-$ 56 |\n| | = $24 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\therefore$ Total savings | = 21 + 24 |\n| | = {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Chablis buys her daughter an Ella Coat and Fur Hooded Parka at a sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q35_var2-r.png 900 indent vpad\n\nHow much does Chablis save, in total, off the normal price of these two items? "},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Ella Coat | = 87 $-$ 44 |\n| | = $43 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Parka | = 105 $-$ 55 |\n| | = $50 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\therefore$ Total savings | = 43 + 50 |\n| | = {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Connie buys her daughter a Hooded Gillet and a Crew Neck Sweat at a sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q35_var2-r.png 900 indent vpad\n\nHow much does Connie save, in total, off the normal price of these two items? "},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Gillet | = 75 $-$ 39.20 |\n| | = $35.80 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Crew Neck Sweat | = 45 $-$ 23 |\n| | = $22 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\therefore$ Total savings | = 35.80 + 22 |\n| | = {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Rebecca purchased one pair of Otik workboots and one pair of Carina Square Toe Ballet shoes at a sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q35_var3-r.png 900 indent vpad\n\nApproximately how much does Rebecca save, in total, off the normal price of these two items?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Otik Woorkboots | $\\approx$ 80 $-$ 40 |\n| | $\\approx$ $40 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Ballet shoes | $\\approx$ 20 $-$ 10 |\n| | $\\approx$ $10 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\therefore$ Total savings | $\\approx$ 40 + 10 |\n| | $\\approx$ {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Dale purchased one Asics Travel Polo and one pair of Asics Shorts at a sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q35_var4-r.png 900 indent vpad\n\nApproximately how much does Dale save, in total, off the normal price of these two items?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Polo | $\\approx$ 85 $-$ 60 |\n| | $\\approx$ $25 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Shorts | = 35 $-$ 22 |\n| | = $13 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\therefore$ Total savings | $\\approx$ 25 + 13 |\n| | $\\approx$ {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Pele bought a pair of Shin Guards and one pair of Adidas Gloves at a sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/07/Q35_var5-r.png 900 indent vpad\n\nHow much did Pele save, in total, off the normal price of these two items?"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Shin Guards | = 20 $-$ 14 |\n| | = $6 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Savings on Gloves | = 25 $-$ 17.50 |\n| | = $7.50 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\therefore$ Total savings | = 6 + 7.50 |\n| | = {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]}]

Number and Algebra - e14b9148-b3f3-4de5-8551-c9c59b78393c - (April 28, 2022)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What number is 10 less than 202?"},{"varval":"202 $-$ 10 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"What number is 10 less than 307?"},{"varval":"307 $-$ 10 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"What number is 9 less than 204?"},{"varval":"204 $-$ 9 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"What number is 12 less than 404?"},{"varval":"404 $-$ 12 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"What number is 5 less than 341?"},{"varval":"341 $-$ 5 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"What number is 5 less than 517?"},{"varval":"517 $-$ 5 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"What number is 20 less than 110?"},{"varval":"110 $-$ 20 = {{{correctAnswer}}}"}]}]

Number and Algebra, - 0c4dadfe-a00e-45b0-8397-ec976f18dbe8 - (April 27, 2022)

Number and Algebra, NAP-54123

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sully bought KFC for his soccer team to celebrate their grand final victory.\n\nHe bought 12 wings, 16 drumsticks and 7 breast pieces.\n\nIn total, how many pieces of fried chicken did Sully buy?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 12 + 16 + 7| = 10 + 2 + 10 + 6 + 7|\n|| = 20 + 15|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Clarissa was donating cans of food in her pantry to flood victims\n\nShe donated 23 cans of tuna, 9 cans of soup and 16 cans of beans.\n\nIn total, how many cans of food did Clarissa donate?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 23 + 9 + 16| = 20 + 3 + 9 + 10 + 6|\n|| = 30 + 18|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Strop worked at a animal refuge.\n\nDuring the bushfires, Strop rescued 19 koalas, 13 kangaroos and 9 wombats.\n\nIn total, how many animals did Strop rescue during the bushfires?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 19 + 13 + 9| = 10 + 9 + 10 + 3 + 9|\n|| = 20 + 21|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Charlie wanted to start a reptile park in his backyard.\n\nHe caught 13 blue tongue lizards, 25 geckos and 7 goannas to show visitors when the park opened.\n\nIn total, how many reptiles did Charlie have?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 13 + 25 + 7| = 10 + 3 + 20 + 5 + 7|\n|| = 30 + 15|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Jules supplied coloured shirts for his 3 oztag teams.\n\nHe had 13 blue, 11 yellow and 5 green shirts.\n\nIn total, how many coloured shirts did Jules supply?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 13 + 11 + 5| = 10 + 3 + 10 + 1 + 5|\n|| = 20 + 9|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Vicki is cutting up fruit to make fruit salad for the school canteen.\n\nShe has 9 bananas, 31 strawberries and 12 apples.\n\nIn total, how many pieces of fruit is Vicki using in the fruit salad?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 9 + 31 + 12| = 9 + 30 + 1 + 10 + 2|\n|| = 40 + 9 + 1 + 2|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

DOCS - TO FIX MJD - 298c26ed-39b3-4d09-8cf7-59875e3e9e1b - (October 29, 2021)

correctAnswer: 69.5 prefix: $90 - \dfrac{\sqrt{18^2 + 80^2}}{4}$ = width: 5

<div class="sm_mode"> </div>

[{"vars":null}]

Docs - White text with color background - 20d1f3de-2cd4-47a7-9e11-ec746cdbac20 - (October 26, 2021)

<div class="sm_mode"> The default is a light blue background which is color3 for sm-text in a span such as: here <span class="sm-text">?</span> is the inline item. And you can add the class colorN where N=1..8 for more color control such as here <span class="sm-text color1">?</span>, <span class="sm-text color2">?</span>, <span class="sm-text color3">?</span>, <span class="sm-text color4">?</span>, <span class="sm-text color5">?</span>, <span class="sm-text color6">?</span>, <span class="sm-text color7">?</span>, <span class="sm-text color8">?</span> And fyi, any text can be in the span, such as: <span class="sm-text color6">This text!</span> </div>

[{"vars":null}]

Docs - New Tables with Color and MixAndMatch capabilities - 29fc25d9-dd6c-43cd-a93a-66308afd66b9 - (October 20, 2021)

<div class="sm_mode"> # New and improved tables! - Tables are built in markdown, can use 2 asterisks for bold, 2 greater than signs for indenting, and colons in the tables for right/left/center alignment, and should be surrounded by a div with the options below. - Options that can be mixed and matched in tables are: - sm-table (required) - top-left-cell-hidden - row1-color1 (colorN where N is 1..8) - col1-color1 (colorN where N is 1..8) - heading-color1 (only used if need a spanning heading row at top, and colorN where N is 1..8) ## Examples: ### 1. Merged Title Row A <div class="sm-table row1-color1 heading-color1"> >>Time Spent <br> Training >>| Day | Time | |:-:|:-:| | Monday | 3h 15min | | Tuesday | 2h 10min | | Thursday | 1h 5min | </div> <br> ### 1. Merged Title Row B <div class="sm-table col1-color1 heading-color1"> >>Type II Diabetes in USA >>| Year | 2007 | 2008 | 2009 | |:-:|:-:|:-:|:-:| | Millions | 31.16| 32.4 |32.9| </div> <br> ### 2. Color in title row/column <div class="sm-table col1-color1 row1-color1 top-left-cell-hidden"> >>| | Skateboard | No Skate | |:-:|:-:|:-:| | Bike | 55| 2| | No Bike | 7| 20| </div> <br> ### 3. Color in title column <div class="sm-table col1-color1"> >>| Peter | Number of things: 5 | |:-:|:-:| | Andrew | Number of things: 2| | Rex | Number of things: 7| </div> <br> ### 4. Color in title row <div class="sm-table row1-color8"> >>| A title | B title | C title | |:-:|:-:|:-:| | 1 | 2| 3| | 3 | 7| 20| </div> <br> </div>

[{"vars":null}]

RAPH16 Q67-99 - 6a8675c6-c665-4049-a813-c991ce2bc50a - (September 30, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Five cars are parked side by side.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-67.svg 440 indent vpad\n\nWhich car is parked directly on the left of the red car?"},{"varval":"The cars are facing you so their left side is your right side.\n\nTherefore, the {{{correctAnswer}}} is parked directly on the left of the red car. "}]},{"vars":[{"varval":"Three friends are holding some items in their hands.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-68.svg 440 indent vpad\n\nWhich item is being held by Richard in his right hand?"},{"varval":"The children are facing you so their right side is your left side.\n\nTherefore, the {{{correctAnswer}}} is held by Richard in his right hand.\n"}]},{"vars":[{"varval":"Five stores are located along a street.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-69.svg 550 indent vpad\n\nWhich store is located on the left of the coffee shop?"},{"varval":"The stores are facing you so their left side is your right side.\n\nTherefore, the {{{correctAnswer}}} is located on the left of the coffee shop."}]}]

RAPH16 Q64-66 - 45f56466-184a-4536-9168-528cf32f2d5c - (September 30, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Annie has only these coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-64.svg 440 indent vpad\r\n\nShe buys a slice of cake for $1.25 and a cup of tea for 85 cents.\n\n\r\nHow much money does Annie have left?\r\n"},{"varval":"Calculate total money Annie starts with:\n\n>>0.20 + 1.00 + 0.20 + 0.50 + 0.10 + 0.05 + 0.10 + 0.50 = 2.65\r\n\n<br>\n\nCalculate the total cost of cake and tea:\r\n\n>>1.25 + 0.85 = 2.1\r0\n\n<br>\n\nCalculate the money left:\r\n\n>>2.65 – 2.10 = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"John has only these coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-65.svg 440 indent vpad\r\n\nHe buys an ice cream for $2.10 and a wafer for 50 cents.\r\n\nHow much money does John have left?\r"},{"varval":"Calculate the total money of John:\r\n\n>>1.00 + 0.20 + 0.50 + 0.10 + 0.05 + 0.05 + 0.10 + 0.50 + 0.05 + 1.00 + 0.50 = 4.05\n\n<br>\n\nCalculate the total cost of ice cream and wafer:\r\n\n>>2.10 + 0.50 = 2.6\r0\n\n<br>\n\nCalculate the money left:\r\n\n>>4.05 – 2.60 = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Trisha has only these coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-66.svg 440 indent vpad\n\nShe buys a lollipop for 40 cents and a chocolate bar for $1.10.\r\n\nHow much money does Trisha have left?\r"},{"varval":"Calculate total money Trisha starts with:\n\n>>0.10 + 0.10 + 0.20 + 1.00 + 0.20 + 0.50 + 0.20 + 0.10 + 0.05 + 0.10 = 2.55\r\n\n<br>\n\nCalculate the total cost of lollipop and chocolate bar:\r\n\n>>0.40 + 1.10 = 1.50\n\n<br>\n\nCalculate the money left:\r\n\n>>2.55 – 1.50 = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Corey has only these coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-64.svg 440 indent vpad\n\nHe buys an orange juice for $1.45 and a cupcake for 95 cents.\n\n\nHow much money does Corey have left?\n"},{"varval":"Calculate total money Corey starts with:\n\n>>0.20 + 1.00 + 0.20 + 0.50 + 0.10 + 0.05 + 0.10 + 0.50 = $2.65\n\n<br>\n\nCalculate the total cost of orange juice and cupcake:\n\n>>1.45 + 0.95 = $2.40\n\n<br>\n\nCalculate the money left:\n\n>>2.65 – 2.40 = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Jacinta has only these coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-65.svg 440 indent vpad\n\nShe buys an sandwich for $2.80 and a bottle of water for 95 cents.\n\nHow much money does Jacinta have left?\n"},{"varval":"Calculate total money Jacinta starts with:\n\n>>1.00 + 0.20 + 0.50 + 0.10 + 0.05 + 0.05 + 0.10 + 0.50 + 0.05 + 1.00 + 0.50 = 4.05\n\n<br>\n\nCalculate the total cost of the sandwich and bottle of water\n\n>>2.80 + 0.95 = 3.75\n\n<br>\n\nCalculate the money left:\n\n>>4.05 – 3.75 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Rip has only these coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/RAPH16-66.svg 440 indent vpad\n\nHe buys a soft drink for $1.45 and a yoghurt bar for 70 cents.\n\nHow much money does Rip have left?\n"},{"varval":"Calculate total money Rip starts with:\n\n>>0.10 + 0.10 + 0.20 + 1.00 + 0.20 + 0.50 + 0.20 + 0.10 + 0.05 + 0.10 = 2.55\n\n<br>\n\nCalculate the total cost of soft drink and yoghurt bar:\n\n>>1.45 + 0.70 = 2.15\n\n<br>\n\nCalculate the money left:\n\n>>2.55 – 2.15 = {{{correctAnswer}}}\n"}]}]

RAPH16 Q61-63 - 8271073a-5c8a-40d6-844a-44c202fe5822 - (September 30, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table below shows the weights of four cars.\n\n<div class=\"outline\">\n\n> > | Car| A | B | C | D |\n> > | :-----: | :-: | :-: | :-: | :-: |\n> > | Weight| 2345 kg | 2354 kg | 2355 kg | 2344 kg |\n\n</div>\n\n<br>\nWhich is the second lightest car?"},{"varval":"Arrange the weight of the cars from lightest to the heaviest.\r\n\n>>2344 < 2345 < 2354 < 2355\r\n\n<br>\n\n$\\therefore$ Car A is the 2nd lightest car.\r\n"}]},{"vars":[{"varval":"The table below shows the distance of four places from Evelyn’s house.\n\n<div class=\"outline\">\n\n> > | Place | Park | Market | Mall | Hospital |\n> > | :-----: | :-: | :-: | :-: | :-: |\n> > | Distance | 1670 m | 1770 m | 1660 m | 1760 m |\n\n</div>\n\n<br>\nWhich is the second farthest place from Evelyn’s home?"},{"varval":"Arrange the distance of the places from nearest to the farthest.\r\n\n>>1660 < 1670 < 1760 < 1770\r\n\n<br>$\\therefore$ the hospital is the second farthest place from Evelyn’s house.\r\n"}]},{"vars":[{"varval":"The table below shows the money saved by four friends.\n\n<div class=\"outline\">\n\n> > | Name | Henry | Lei | Janice | Dorian |\n> > | :-----: | :-: | :-: | :-: | :-: |\n> > | Savings | $5632 | $5623 | $5633 | $5622 |\n\n</div>\n\n<br>\nWho has the second largest savings?"},{"varval":"Arrange the savings from smallest to largest.\r\n\n>>5622 < 5623 < 5632 < 5633\r\n\n<br>\n\n$\\therefore$ Henry has the second largest savings.\r\n"}]},{"vars":[{"varval":"The table below shows the distances of four children from the finish line in a running race.\n\n<div class=\"outline\">\n\n> > | Child| Anna | Ben | Carrie | Dennis |\n> > | :-----: | :-: | :-: | :-: | :-: |\n> > | Distance| 185 m | 158 m | 174 m | 147 m |\n\n</div>\n\n<br>\nWhich child has the second shortest distance to travel to the finish line?"},{"varval":"Arrange the distances from the finish line from shortest to the longest. \n\nNote the shortest distance is closest to the finish line.\n\n>>147 < 158 < 174 < 185\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} has the second shortest distance to travel.\n"}]},{"vars":[{"varval":"The table below shows the number of push-ups four gym members have completed in a push-up challenge.\n\n<div class=\"outline\">\n\n> > | Member| Art | Bic | Clint | Dray |\n> > | :-----: | :-: | :-: | :-: | :-: |\n> > | Push-ups| 123 | 321 | 231 | 312 |\n\n</div>\n\n<br>\nWho has done the second largest number of push-ups?"},{"varval":"Arrange the number of push-ups from smallest to largest. \n\n>>123 < 231 < 312 < 321\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} has done the second largest number of push-ups."}]},{"vars":[{"varval":"The table below shows the total distance 4 friends walked on a four day hike.\n\n<div class=\"outline\">\n\n> > | Name| Ariel | Beryl | Christa | Doula |\n> > | :-----: | :-: | :-: | :-: | :-: |\n> > | Distance| 93 km | 89 km | 98 km | 95 km |\n\n</div>\n\n<br>\nWhich friend walked the second smallest distance?"},{"varval":"Arrange the distances from smallest to largest. \n\n>>89 < 93 < 95 < 98\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} walked the second smallest distance."}]}]

RAPH13 Q27-28 - b10cacb5-edaf-42a9-8f2b-47c4d8dd51f6 - (September 15, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Arthur creates a square on the Cartesian plane and labels each vertex.\r\n\nWhat are the coordinates of point X?\n\n\r\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/raph13-27.png 300 indent vpad\n\n"},{"varval":"Looking at the graph the point X is located at the intersection of x = –2 and y = –2"}]},{"vars":[{"varval":"Neil drew a circle on the Cartesian plane.\r\n\nWhat are the coordinates of center?\n\n\r\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/raph13-28.png 300 indent vpad"},{"varval":"Looking at the graph, the center is located at the intersection of x = –2 and y = 1."}]}]

RAPH13 Q25-26 - 5fd1aa21-5a31-4164-9b1f-2a0cb0caf51b - (September 14, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Students were asked to fill the questionnaires on what subject was the most difficult.\r\n\nThe graph shows the results.\n\n\r\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/raph13-25.svg 360 indent vpad\n\n<br> What percentage is Physics?"},{"varval":"Analyzing the graph, Math is 50% and English is 25%.\r\n\nThis makes Physics to be less than 25%.\r\n"}]},{"vars":[{"varval":"People were asked what their favorite colour is.\r\n\nThe graph shows the results.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/raph13-26.svg 360 indent vpad\n\nWhat percentage is Red?"},{"varval":"Analyzing the graph, yellow is 25%.\r\n\nRed is larger than yellow but not twice as much.\r\n"}]}]

RAPH13 Q23-24 - f6a9ec5d-a006-4371-bb90-e89c3a5d72b2 - (September 14, 2021)

Note: MUST BE REFORMATTED WITH MULTI "correctAnswer:" since current formatting as at 2022-06-02 will fail.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A survey was conducted which movie genre was the best.\r\n\nThe table shows the result of the survey but two values are missing.\r\nAltogether:\r\n\n* 52 comedy\r\n\n* 36 action\r\n\n* 41 romance\r\n\r\n\nComplete the table by filling in the missing values.\n\n\r\n<div class=\"outline\">\r\n\r\n\n| Movie Genre | Male | Female |\r\n| :----------:- | :--------: | :--: |\r\n| Comedy | 25 | 27 |\r\n| Action | | 14 |\n| Romance | 28 | |\r\n\r\n\n</div>\r\n"},{"varval":"For Action: 36 – 14 = 22\r\n\nFor Romance: 41 – 28 = 13\r\n"}]},{"vars":[{"varval":" A bakery asked for customers’ feedback on which is the best cake flavor.\r\n\nThe table shows the result of the feedback but three values are missing.\r\n\nAltogether:\r\n\r\n* 11 chocolate\r\n* 24 vanilla\r\n* 27 red velvet\r\n* 19 sponge cake\r\n\r\nComplete the table by filling in the missing values.\n\r\n\n<div class=\"outline\">\r\n\r\n\n| Cake Flavor | Male | Female |\r\n| :----------:- | :--------: | :--: |\r\n| Chocolate | 9 | 2 |\r\n| Vanilla | 7 | |\n| Red Velvet | 12 | |\n| Sponge cake | | 11 |\r\n\r\n\n</div>"},{"varval":"For Vanilla: 24 – 7 = 17\r\n\nFor Red Velvet: 27 – 12 = 15\r\n\nFor Sponge Cake: 19 – 11 = 8\r\n"}]}]

RAPH13 Q21-22 - 9bf9ad33-c4ac-48b3-870d-6470c79b2b18 - (September 14, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"There are 36,422 people in Dubbo. \r\n\nEach day a person uses an average of 154 litres of water.\r\n\r\n\n<br>What is the estimate for the total number of litres used by people in Dubbo per day?\r\n"},{"varval":">> 36,422 ≈ 36, 000 \r\n\n>> 154 ≈ 150\r\n\nTherefore, the estimated total number of litres of water used per day is 36000 x 150.\r\n"}]},{"vars":null}]

RAPH13 Q19-20 - 7e406582-b118-45e8-9e9e-eb1f4ac11149 - (September 14, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":null}]

RAPH13 Q17-18 - 455243c0-3875-4f60-a70f-b5f535187050 - (September 14, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[]}]

Measurement, NAP-H1-20 - 89465d94-242d-4e04-b0d6-83044f6a8284 - (September 10, 2021)

<div class="sm_mode"> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2015-20mc.png 200 indent vpad <br> What time is shown on this clock? </div>

[{"vars":null}]

RAPH14 Q100-102 - 7d33058e-371b-4e57-8c37-dc195361de84 - (September 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Fiona has a rectangular area of grass which is 5 metres long and 4 metres wide.\r\n\nShe plants a fence post in one corner\r and then puts posts every 1 metre around the rectangular area.\r\n\nHow many posts does she use altogether?\r\n"},{"varval":"sm_nogap Starting along a 5-metre side and working around the rectangle:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Posts needed | \\= 6 + 4 + 5 + 3 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Adam has a rectangular backyard which is 7 metres long and 5 metres wide.\r\n\nHe puts a fence post in one corner\r and then puts posts every 1 metre around the entire backyard.\r\n\nHow many posts does he use altogether?\r\n"},{"varval":"sm_nogap Starting along a 7-metre side and working around the yard:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Posts needed | \\= 8 + 5 + 7 + 4 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Lucas has a rectangular vegetable garden which is 9 metres long and 4 metres wide.\r\n\nHe plants a fence post in one corner\r and then plants posts every 1 metre around the whole vegetable garden.\r\n\nHow many posts does he use altogether?\r\n"},{"varval":"sm_nogap Starting along a 9-metre side and working around the rectangle:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Posts needed | \\= 10 + 4 + 9 + 3 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]}]

RAPH14 Q103-105 - a77f16b3-a9db-4bed-9d9d-625060d07f81 - (September 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"John and Steve picked up 35 pizzas for a party.\r\n\nSteve took 7 more pizzas back to the party than John.\r\n\nHow many pizzas did John take back to the party?\r\n"},{"varval":"sm_nogap Strategy one:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| John's pizzas| \\= (35 – 7) $\\div$ 2 |\n| | \\= 28 $\\div$ 2 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n\n<br>\n\nStrategy two (by trial and error):\n\nJohn takes less than half $\\rightarrow$ try 16\n\nIf John 16, Steve 23 $\\rightarrow$ total = 39 (too high)\n\nIf John 15, Steve 22 $\\rightarrow$ total = 37 (too high)\n\nIf John 14, Steve 21 $\\rightarrow$ total = 35 (correct)\n\n\n"}]},{"vars":[{"varval":"Mark and Ivan went fishing together and caught 26 fish together.\r\n\nMark caught 8 more fish than Ivan.\r\n\nHow many fish did Ivan catch?\r\n"},{"varval":"sm_nogap Strategy one:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Ivan's fish| \\= (26 – 8) $\\div$ 2 |\n| | \\= 18 $\\div$ 2 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n\n<br>\n\nStrategy two (by trial and error):\n\nIvan catches less than half $\\rightarrow$ try 12\n\nIf Ivan 12, Mark 20 $\\rightarrow$ total = 32 (too high)\n\nIf Ivan 10, Mark 18 $\\rightarrow$ total = 28 (too high)\n\nIf Ivan 9, Mark 17 $\\rightarrow$ total = 26 (correct)\n"}]},{"vars":[{"varval":"Altogether, Natasha and Shirley scored 34 points in a basketball game.\r\n\nNatasha scored 10 more points than Shirley.\r\n\nHow many points did Shirley score?\r\n"},{"varval":"sm_nogap Strategy one:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Shirley’s points| \\= (34 – 10) $\\div$ 2 |\n| | \\= 24 $\\div$ 2 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n\n<br>\n\nStrategy two (by trial and error):\n\nShirley scores less than half the total points $\\rightarrow$ try 9\n\nIf Shirley 9, Natasha 19 $\\rightarrow$ total = 28 (too low)\n\nIf Shirley 11, Natasha 21 $\\rightarrow$ total = 32 (too low)\n\nIf Shirley 12, Natasha 22 $\\rightarrow$ total = 34 (correct)\n"}]},{"vars":[{"varval":"Altogether, Biggsy and Smacka had saved $67 for a skateboard.\n\nBiggsy has saved $9 more than Smacka.\n\nHow much has Smacka saved?"},{"varval":"sm_nogap Strategy one:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Smacka savings| \\= (67 – 9) $\\div$ 2 |\n| | \\= 58 $\\div$ 2 |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>\r\n\n<br>\n\nStrategy two (by trial and error):\n\nSmacka has saved less than half the total $\\rightarrow$ try 32\n\nIf Smacka 32, Biggsy 41 $\\rightarrow$ total = 73 (too high)\n\nIf Smacka 30, Biggsy 39 $\\rightarrow$ total = 69 (too high)\n\nIf Smacka 29, Biggsy 38 $\\rightarrow$ total = 67 (correct)\n"}]},{"vars":[{"varval":"Crystal and Shandy bought a total of 71 Merino sheep at the auction.\n\nCrystal bought 13 more sheep than Shandy.\n\nHow many sheep did Shandy buy?"},{"varval":"sm_nogap Strategy one:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Shandy's sheep| \\= (71 – 13) $\\div$ 2 |\n| | \\= 58 $\\div$ 2 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n\n<br>\n\nStrategy two (by trial and error):\n\nShandy purchased less than half the total sheep $\\rightarrow$ try 34\n\nIf Shandy 34, Crystal 47 $\\rightarrow$ total = 81 (too high)\n\nIf Shandy 30, Crystal 43 $\\rightarrow$ total = 73 (too high)\n\nIf Shandy 29, Crystal 42 $\\rightarrow$ total = 71 (correct)"}]}]

RAPH14 Q97-99 - 996b96ac-3cc8-4980-b061-095e80bf6a55 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Fredrick made this number sentence with cards.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/RAPH14-Q97-99-var-0.svg 500 indent vpad\n\nWhich of these cards will make the number sentence correct?"},{"varval":"sm_nogap Simplify each side of the expression:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 36 + 10 | \\= 36 + 6 ?? |\r\n| 46 | \\= 42 ?? |\r\n\r\n</div>\n\n\r\n<br>\n\nsm_nogap Checking each option:\r\n\n> 42 + 4 = 46 $\\checkmark$\n\n> 42 – 4 = 38 (Incorrect)\r\n\n> 42 + 6 = 48 (Incorrect)\r\n\n> 42 – 6 = 36 (Incorrect)\r\n"}]},{"vars":[{"varval":"Arianne made this number sentence with cards.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/RAPH14-Q97-99-var-1.svg 500 indent vpad\n\nWhich of these cards will make the number sentence correct?"},{"varval":"sm_nogap Simplify each side of the expression:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 41 + 21 | \\= 41 + 19 ?? |\r\n|62 | \\= 60 ?? |\r\n\r\n</div>\n\n\r\n<br>\n\nThen check each option:\r\n\n>>60 – 2 = 58 (Incorrect)\r\n\n>>60 + 9 = 69 (Incorrect)\r\n\n>>60 + 2 = 62 $\\checkmark$\n\n>>60 – 9 = 51 (Incorrect)\r\n"}]},{"vars":[{"varval":"Bogdan made this number sentence with cards.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/RAPH14-Q97-99-var-2.svg 500 indent vpad\n\nWhich of these cards will make the number sentence correct?"},{"varval":"sm_nogap Simplify each side of the expression:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 52 + 36 | \\= 52 + 39 ?? |\r\n| 88 | \\= 91 ?? |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Check each option:\r\n\n>91 + 3 = 94 (Incorrect)\r\n\n>91 – 3 = 88 $\\checkmark$\n\n>91 + 6 = 97 (Incorrect)\r\n\n>91 – 6 = 85 (Incorrect)\r\n"}]}]

Measurement, RAPH14 Q94-96 - 8027ce88-c011-4852-b70e-100529cf9cda - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Anne is using a broken ruler to measure the length of a pencil.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/94.png 500 indent vpad\n\nWhat is the length of the pencil?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Pencil’s length | \\= 19 – 12 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Selene is using a broken ruler to measure the length of a pin.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/95.png 550 indent vpad\n\nWhat is the length of the pin?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Pin’s length | \\= 16 – 11 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Eugene measured a wooden pin using a broken ruler.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/96.png 500 indent vpad\n\nWhat is the length of the wooden pin?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Length of wooden pin | \\= 19 – 14 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

RAPH14 Q91-93 - e20532e0-6cf2-4760-87c7-0eb69bf10589 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Matt, Trish, and Kent went to a pizza restaurant.\r\n\nMatt and Trish each ate $\\dfrac{1}{8}$ of the pizza served.\r\n\nWhat fraction of the pizza was left for Kent?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Pizza left | \\= 1 – ( $\\dfrac{1}{8}$ + $\\dfrac{1}{8}$ ) |\n| | \\= 1 – $\\dfrac{1}{4}$ |\n| | \\= $\\dfrac{4}{4}$ – $\\dfrac{1}{4}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Ruth, April, and Yoni shared a box of chocolates.\r\n\nRuth and April each ate $\\dfrac{1}{6}$ of the chocolates in the box.\r\n\nWhat fraction of the chocolates were left for Yoni?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Chocolates left | \\= 1 – ( $\\dfrac{1}{6}$ + $\\dfrac{1}{6}$ ) |\n| | \\= 1 – $\\dfrac{2}{6}$ |\n| | \\= $\\dfrac{6}{6}$ – $\\dfrac{2}{6}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Manuel, Jericho, and Tom shared a bucket of fried chicken.\r\n\nManuel and Jericho each ate $\\dfrac{3}{7}$ of the fried chicken.\r\n\nWhat fraction of the fried chicken was left for Tom?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Fried chicken left | \\= 1 – ( $\\dfrac{3}{7}$ + $\\dfrac{3}{7}$ ) |\n| | \\= 1 – $\\dfrac{6}{7}$ |\n| | \\= $\\dfrac{7}{7}$ – $\\dfrac{6}{7}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

RAPH14 Q88-90 - 43df4953-29dd-4483-b824-7a8efcac2ca1 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nAron wrote <span class=\"sm-text color8\">?</span> $–$ 3 = 7\r\n\nIn which of these does the <span class=\"sm-text color8\">?</span> have the same value as above?\r\n\n</div>"},{"varval":"sm_nogap By rearranging the equation: \n\n<div class=\"aligned sm_img_inline\">\n\n|||\n|-:|-|\n| <span class=\"sm-text color8\">?</span> $–$ 3|= 7|\n| <span class=\"sm-text color8\">?</span> |= 7 + 3|\n|3 + 7|= <span class=\"sm-text color8\">?</span> |\n\n</div>\n\n\n"}]},{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nKrishna wrote <span class=\"sm-text color3\">?</span> $–$ 2 = 9 \r\n\nIn which of these does the <span class=\"sm-text color3\">?</span> have the same value as above?\r\n\n</div>\n"},{"varval":"sm_nogap By rearranging the equation:\n\n<div class=\"aligned sm_img_inline\">\n\n|||\n|-:|-|\n| <span class=\"sm-text color3\">?</span> $–$ 2|= 9|\n| <span class=\"sm-text color3\">?</span> |= 9 + 2|\n|9 + 2 |= <span class=\"sm-text color3\">?</span> |\n\n</div>\n\n"}]},{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nMay wrote <span class=\"sm-text color2\">?</span> + 2 = 10\r\n\nIn which of these does the <span class=\"sm-text color2\">?</span> have the same value as above?\r\n\n</div>\n"},{"varval":"sm_nogap By rearranging the equation:\n\n<div class=\"aligned sm_img_inline\">\n\n|||\n|-:|-|\n| <span class=\"sm-text color2\">?</span> + 2|= 10|\n| <span class=\"sm-text color2\">?</span> |= 10 $-$ 2|\n|10 $-$ 2 |= <span class=\"sm-text color2\">?</span> |\n\n</div>\n\n\n"}]}]

Number and Algebra, RAPH14 Q85-87 - 1e60f003-82b0-40e7-a9c9-628667c9ce1e - (September 02, 2021)

{{{question}}}

[{"vars":[{"varval":"Gary thinks of a number.\r\n\nHe writes the clues so his friends can guess it.\r\n\n<div style=\"background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 30px\" >\n\n* The number is less than 600\n* The number has 20 tens\n* The digits in the ones place is the same as the digit in the hundreds place\n\n</div>\n\n<br> What is Gary’s number?"},{"varval":"sm_nogap Check each option:\r\n\n> 22 is less than 600, it doesn’t have 20 tens (Incorrect)\r\n\n> 202 is less than 600, it has 20 tens, and the ones digit is the same as the hundreds digit (Correct)\r\n\n>266 is less than 600, it has 20 tens, and the ones digit is NOT the same as the hundreds digit (Incorrect)\r\n\n>20 is less than 600, it doesn’t have 20 tens (Incorrect)\r\n"}]},{"vars":[{"varval":"Josh thinks of a number.\r\n\nHe writes the clues so his friends can guess it.\n\r\n\n<div style=\"background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 30px\" >\n\n* The number is less than 500\n* The number has 40 tens\n* The digit in the ones place is twice the the digit in the hundreds place\n\n</div>\n\n<br> What is Josh’s number?"},{"varval":"sm_nogap Check each option:\r\n\n>402 is less than 500, it has 40 tens, and the ones digit is half the digit in the hundreds place (Incorrect)\r\n\n>480 is less than 500, it has 48 tens (Incorrect)\r\n\n>40 is less than 500, it only has 4 tens (Incorrect)\r\n\n>408 is less than 500, it has 40 tens, and the ones digit is twice the hundreds digit (Correct)\n"}]},{"vars":[{"varval":"Lily thinks of a number.\r\n\nShe writes the clues so her friends can guess it.\n\n\r\n<div style=\"background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 30px\" >\n\n* The number is less than 900\r\n* The digits in the ones place is the same as the digit in the hundreds place\r\n* The number has 70 tens\r\n\n</div>\n\n<br> What is Lily’s number?"},{"varval":"sm_nogap Check each option:\r\n\n>77 is less than 900, it only has 7 tens (Incorrect)\r\n\n>770 is less than 900, it has 70 tens, and its ones digit is NOT the same as the hundreds digit. (Incorrect)\r\n\n>707 is less than 900, it has 70 tens, and its ones digit is the same as the hundreds digit. (Correct)\r\n\n>70 is less than 900, it only has 7 tens (Incorrect)\r\n"}]}]

Number and Algebra, RAPH14 Q82-84 - 2765e4b0-1628-47d0-88ca-821e56128c2a - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Kristian is using a number line to show a pattern.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/82.svg 550 indent vpad\n\n<br>In Kristian’s pattern, what number comes before 22?"},{"varval":"The pattern has a common difference of 4.\r\n\r\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number before 22 | \\= 22 – 4 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Kristel is using a number line to show a pattern.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/83.svg 600 indent vpad\n\n<br>In Kristel’s pattern, what number comes before 38?"},{"varval":"The pattern has a common difference of 4.\r\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number before 38 | \\= 38 – 4 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Matthew is using a number line to show a pattern.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/84.svg 550 indent vpad\n\n<br>In Matthew’s pattern, what number comes before 14?"},{"varval":"The pattern has a common difference of 5.\r\n\n\r\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number before 14 | \\= 14 – 5 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

RAPH14 Q79-81 - d4026ad7-f4a4-469a-b4ed-9bb94b370eb5 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Henry and Paolo are playing a game where Henry tosses a coin and Paolo guesses if it is heads or tails.\n\nHenry calls heads on the first and second toss and wins both times.\n\nWhich of the following is true for the third toss?\r\n"},{"varval":"Every time a fair coin is tossed the chance of landing on a head or tails is the same.\n\n$\\rightarrow$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"Wally and Katherine are best friends and eat lunch together every weekday.\n\nTo decide where they eat, Wally flips a coin. If it lands on heads, Wally chooses and if it lands on tails, Katherine chooses.\n\nOne week, Katherine chose where they eat for the first four days in a row.\n\nWhich of the following is true for the fifth day?\n"},{"varval":"Every time a fair coin is tossed the chance of landing a head or tails is the same.\n\n$\\rightarrow$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"John and Richard flip a coin to see who will be able to use the family computer for the next hour.\r\n\nRichard calls tails every time and got to use the computer for the first two hours in a row.\n\nWhich of the following is true for the third hour?\r\n"},{"varval":"Every time a fair coin is tossed the chance of landing on a head or tails is the same.\n\n$\\rightarrow$ {{{correctAnswer}}}"}]}]

RAPH14 Q76-78 - ed61c268-3c35-4b8b-b39d-95f47b02c83f - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Terry and Ray have 32 toys altogether.\r\n\nRay has 19 toys.\r\n\nWhich number sentence can be used to find the number of toys Terry has?\r\n"},{"varval":"Total toys $-$ Ray's toys = Terry's toys\n\nTherefore, correct number sentence is:\n\n{{{correctAnswer}}}\n\n"}]},{"vars":[{"varval":"Michael and Andre have saved $92 altogether.\r\n\nMichael has saved $51.\r\n\nWhich number sentence can be used to find the amount of money Andre has saved?\r\n"},{"varval":"Total saved $-$ Michael's savings = Andre's savings\n\nTherefore, correct number sentence is:\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Gerry and David own 37 vintage cars altogether.\r\n\nGerry has 21 vintage cars.\r\n\nWhich number sentence can be used to find the number of vintage cars owned by David?\r\n"},{"varval":"Total vintage cars $-$ Gerry's cars = David's cars\n\nTherefore, the correct number sentence is:\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Altogether, a farmer has 78 cows that live in his paddock.\n\nOne morning, 42 cows are in the shed being milked.\n\nHow many cows are left in the paddock?"},{"varval":"Total cows $-$ cows in shed = cows in paddock\n\nTherefore, the correct number sentence is:\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"A rancher has 46 brumbies living on her property.\n\nShe captures 19 of the brumbies and sells them.\n\nWhich number sentence can be used to find the number of brumbies that remain living on her property?"},{"varval":"Total Brumbies $-$ Brumbies sold = Brumbies left\n\nTherefore, the correct number sentence is:\n\n{{{correctAnswer}}}"}]}]

RAPH Job 12 83-84 - a16532b9-6393-4df3-91d4-1d46fa978302 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following figures when folded will create a square pyramid?"},{"varval":"This figure when folded will create a square pyramid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/83a.svg 150 indent vpad"}]},{"vars":[{"varval":"Which of the following figures when folded will create a trapezoidal prism?"},{"varval":"This figure when folded will create a trapezoidal prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/trap-prism-2.svg 150 indent vpad"}]}]

RAPH Job 12 81-82 - 8b57763b-a16d-4fa0-b786-85bd2248255c - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following spinners will most likely land on the coloured area?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/81c.svg 150 indent vpad\n\nThis spinner has the most area painted therefore has the highest chance of landing on a coloured area.\n\n"}]},{"vars":[{"varval":"Which of the following spinners will most likely land on the coloured area?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/82b.svg 150 indent vpad\n\nThis spinner has the most area painted therefore has the highest chance of landing on a coloured portion of the spinner."}]},{"vars":[{"varval":"Which of the following spinners will most likely land on the coloured area?"},{"varval":"{{{correctAnswer}}}\n\nThis spinner has the most area painted therefore has the highest chance of landing on a coloured portion of the spinner."}]},{"vars":[{"varval":"Which of the following spinners will most likely land on the coloured area?"},{"varval":"{{{correctAnswer}}}\n\nThis spinner has the most area painted therefore has the highest chance of landing on a coloured portion of the spinner."}]},{"vars":[{"varval":"Which of the following spinners is the least likely to land on the coloured area?"},{"varval":"{{{correctAnswer}}}\n\nThis spinner has the least area painted therefore has the smallest chance of landing on a coloured portion of the spinner."}]},{"vars":[{"varval":"Which of the following spinners is the least likely to land on the coloured area?"},{"varval":"{{{correctAnswer}}}\n\nThis spinner has the least area painted therefore has the smallest chance of landing on a coloured portion of the spinner."}]}]

RAPH Job 12 79-80 - 2dd03bf2-d1fd-49a4-a612-8748d806f371 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A group of 7 students scored 57 points in a game.\r\n5 students scored 7 points each.\r\n\nThe other two, Wilson and Harold, scored the remaining points equally.\r\n\nHow many points did Wilson score?\r\n"},{"varval":"Remaining points = 57 $-$ (5 x 7) = 57 $-$ 35 = 22\r\n\nWilson’s points = 22 ÷ 2 = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"12 farmers harvested 156 banana trees in a week.\r\n\n10 farmers harvested 12 banana trees each.\n\r\n\nThe other two, Greg and Ryan, harvested the remaining trees equally.\r\n\nHow many banana trees did Greg harvest?\r\n"},{"varval":"Remaining trees = 156 $-$ (10 x 12) = 156 $-$ 120 = 36\r\n\nGreg’s trees = 36 ÷ 2 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"A team of 6 runners completed a 52 kilometre relay event. \n\nThe first 4 runners ran 9 kilometres each. The other two, Carrie and Michael, ran the remaining distance equally.\n\nHow many kilometres did Carrie run?"},{"varval":"Remaining kilometres = 52 $-$ (4 x 9) = 52 $-$ 36 = 16\n\nCarrie’s kilometres = 16 ÷ 2 = {{{correctAnswer}}}\n"}]}]

RAPH Job 12 77-78 - 0cd7755e-4b7e-4ae9-89ac-fd33b7ab4363 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jay made a figure consisting of squares and 2 of them are painted grey.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/77.svg 200 indent vpad\n\nJay flipped and rotated the figure.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/77s.svg 200 indent vpad\n\nWhich two numbers show the positions of the grey squares?"},{"varval":"The numbers {{{correctAnswer0}}} and {{{correctAnswer1}}} are in the positions of the grey squares. "}]},{"vars":[{"varval":"Omar created a figure which is composed of squares and 2 of them are painted grey.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/78.svg 250 indent vpad\n\nOmar rotated the figure.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/78s.svg 130 indent vpad\n\nWhich two numbers show the positions of the grey squares?"},{"varval":"The numbers {{{correctAnswer0}}} and {{{correctAnswer1}}} are in the positions of the grey squares. "}]}]

Number, RAPH Job 12 75-76 - 9e2fb5e2-333a-4d7e-bc3c-1dc1be2b0fb9 - (September 02, 2021)

SJ add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Complete the number sentence\r\n\n\r\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 26 $-$ 15 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n\n"}]},{"vars":[{"varval":"Complete the number sentence\r\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 84 $-$ 32 |\n| | \\= 84 $-$ 30 $-$ 2 |\n| | \\= 54 $-$ 2 |\n| | \\= {{{correctAnswer0}}} |\n\n\n</div>\n\n"}]},{"vars":[{"varval":"Complete the number sentence\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 92 $-$ 51 |\n| | \\= 92 $-$ 50 $-$ 1 |\n| | \\= 42 $-$ 1 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Complete the number sentence\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 97 $-$ 52 |\n| | \\= 97 $-$ 50 $-$ 2 |\n| | \\= 47 $-$ 2 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 185 $-$ 51 |\n| | \\= 185 $-$ 50 $-$ 1 |\n| | \\= 135 $-$ 1 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Complete the number sentence\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 128 $-$ 47 |\n| | \\= 128 $-$ 40 $-$ 7 |\n| | \\= 88 $-$ 7 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]}]

RAPH Job 12 73-74 - 6ad85265-593b-4efa-96df-b66d37235236 - (September 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A statistic shows that on a certain highway the chance of an accident happening on any day is 5%.\r\n\nWhich of the following describes the chance of having an accident today?\r"},{"varval":"Anything that has 100% chance of occurring is certain to happen.\r\n\nThe chance of an accident happening today is 5%.\r\n\nTherefore, it is **unlikely** to happen since the chance is very low.\t\r\n"}]},{"vars":[{"varval":"According to previous events, the chance of passing the entrance exam for a certain university is around 75%.\r\n\nWhich of the following describes the chance of passing in the university’s entrance exam?\r\n"},{"varval":"Anything that has 100% chance of occurring is certain to happen.\r\n\nThe chance of passing the exam is 75%.\r\n\nTherefore, you are **likely** to pass the exam since the chance is high.\t\r\n"}]}]

RAPH14 Q67-69 - 19746b4f-9c4f-479c-a58e-9cfea1fc5eb4 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_nogap Arthur bought the items shown.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/67.png 650 indent vpad\n\nHe gives the cashier $400\r.\n\nHow much change should Arthur get?\r\n"},{"varval":"sm_nogap Strategy 1 (add up rounded numbers): \n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total cost | \\= 311 + 52 + 19 |\r\n| | \\= $382 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Change | $\\approx$ $400 – $381 |\r\n| | $\\approx$ $19 |\r\n\r\n</div>\r\n\n<br>\n\n$\\rightarrow$ $18.10 is the closest option\n\n<br>\n\nsm_nogap Strategy 2: \n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total cost | \\= 310.50 + 52.30 + 19.10 |\r\n| | \\= $381.90 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Change | \\= $400 – $381.90 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Mary bought each of the following items at her local cafe.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/68.png 350 indent vpad\n\nShe gave the cashier $5.00\r.\n\nHow much change should she receive?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total cost of items | \\= 1.20 + 0.80 + 2.20 |\r\n| | \\= $4.20 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Change | \\= $5 – $4.20 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Raymond bought the items shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/69.png 450 indent vpad\n\nHe gave the store owner $50\r.\n\nHow much change should he get?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total cost of items | \\= 40.80 + 3.20 + 1.50 |\r\n| | \\= $45.50 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Change | \\= $50 – $45.50 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

Geometry, RAPH14 Q64-66 - 1dbbb674-71c6-4cb5-8255-82817d0b470b - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nShawn drew a treasure map.\r\n\nHe marked the treasure with an <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\">.\n\n<br>\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64.png\" width=\"550\"> \n\n\n<br>In which cell is the <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> located?\n\n</div>"},{"varval":"<div class=\"sm_img_inline\">\n\n\nBased on the clues, the rows and columns should be labeled as shown below:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_sol.png 250 indent vpad\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> is located at cell {{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nTrisha drew a map which contains a treasure.\r\n\nShe marked the treasure with an <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> .\n\n</div>\n\n<br>\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/65.png\" width=\"550\">\n\n<div class=\"sm_img_inline\">\n\n<br>In which cell is the <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> located?\n\n</div>"},{"varval":"<div class=\"sm_img_inline\">\n\nBased on the clues, the rows and columns should be labeled as shown below:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/65_sol.png 250 indent vpad\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> is located at cell {{{correctAnswer}}}\n\n</div>\n"}]},{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nJohnny drew a treasure map.\r\n\nHe marked the treasure with an <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> .\n\r\n</div>\n\n<br>\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/66.png\" width=\"550\">\n\n<div class=\"sm_img_inline\">\n\n<br>In which cell is the <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> located?\n\n</div>"},{"varval":"<div class=\"sm_img_inline\">\n\nBased on the clues, the rows and columns should be labeled as shown below:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/66_sol.png 250 indent vpad\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/64_x.png\" width=\"30\" height=\"30\"> is located at cell {{{correctAnswer}}}\n\n</div>"}]}]

RAPH14 Q61-63 - b09b68da-c136-475b-947c-4026ec4839a8 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A group of 8 volunteers collected a total of 64 cans to be recycled.\r\n\nEach volunteer collected the same number of cans.\r\n\nHow many cans did each volunteer collect?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of cans each | \\= $64 \\div 8$ |\r\n| | \\= {{{correctAnswer}}} cans |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"6 farmers picked a total of 42 pumpkins.\r\n\nEach farmer picked the same number of pumpkins.\r\n\nHow many did each farmer pick?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of vegetables | \\= $42 \\div 6$ |\r\n| | \\= {{{correctAnswer}}} pumpkins |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"At a birthday party a total of 48 lollipops were given to 8 children.\r\n\nEach child received the same number of lollipops.\r\n\nHow many did each child receive?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of lollipops | \\= $48 \\div 8$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A charity gave 108 cans of food to 9 families at Christmas.\n\nEach family recieved the same number of cans.\n\nHow many did each family recieve?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of cans | \\= $108 \\div 9$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A teacher has 84 marking pens and gives them to 7 groups in her class for an art project.\n\nEach group recieves the same number of marking pens.\n\nHow many does each group recieve."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of pens | \\= $84 \\div 7$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A horse sale sold a total of 72 horses to 6 breeders.\n\nIf the breeders bought the same number of horses, how many did each one get?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of horses | \\= $72 \\div 6$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A wedding planner hired 112 chairs for a wedding.\n\nThe chairs were split between 7 tables.\n\nIf each table had the same number of chairs, how many did each one have?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Chairs on each table | \\= $112 \\div 7$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A sheep dog rounded up 114 sheep into 6 pens.\n\nEach pen had the same number of sheep in it.\n\nHow many sheep did each pen have?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Sheep in each pen | \\= $114 \\div 6$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Measurement, RAPH14 Q58-60 - fc3f3d68-fad9-4a7a-81c2-9600fb306466 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Molly poured one glass of water into four different containers.\r\n\nWhen full, which container will hold the most water?\r\n"},{"varval":"The container with the largest capacity is:\r\n\n<br>\n\r\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Jonas poured one cup of oil into four different containers.\r\n\nWhen full, which container will hold the most oil?\r\n"},{"varval":"The container with the most capacity is:\n\n<br>\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Kevin poured one cup of liquid into four different containers.\r\n\nWhich container will hold the most liquid when full?\r\n"},{"varval":"The container that can fit the most cups of liquid when full is:\n\n<br>\n\n{{{correctAnswer}}}"}]}]

RAPH14 Q55-57 - ce0eb779-50ad-4552-bfba-ad5732a8ad28 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Richard uses the number sentence 12 $\\times$ 4 = 48 to solve a problem.\r\n\nWhich problem could he solve with this number sentence?\r\n"},{"varval":"{{{correctAnswer}}}\n"}]}]

RAPH14 Q52-54 - 887adc26-ba06-46d2-ac8d-7f43805106d2 - (September 01, 2021)

Needs difficulty

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Oriel bought drinks for each of his 15 friends.\r\n\nHe put the drinks on the tables of his friends who were sitting in groups of 3.\r\n\nWhich of the following shows the 15 drinks in groups of 3?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of groups | \\= 15 $\\div$ 3|\r\n| | \\= 5 |\n\r\n\r\n</div>\r\n\n<br>\n\n\n{{{correctAnswer}}} "}]},{"vars":[{"varval":"Twenty people have participated in an event.\r\n\nThey were asked to form themselves into groups of 4.\r\n\nWhich of the following shows the 20 people in groups of 4?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of groups | \\= 20 $\\div$ 4|\r\n| | \\= 5 |\n\r\n\r\n</div>\r\n\n<br>\n\n\n{{{correctAnswer}}} "}]},{"vars":[{"varval":"Mark owns 16 books and wants to organise them in groups of 4.\r\n\nWhich of the following shows the 16 books in groups of 4?\r\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of groups | \\= 16 $\\div$ 4|\r\n| | \\= 4 |\n\r\n\r\n</div>\r\n\n<br>\n\n\n{{{correctAnswer}}} "}]}]

RAPH14 Q73-75 - 37fab59b-7dd8-4c12-9a86-53a826964021 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Daniella is comparing the weights of four different objects using a balance scale.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73.svg 650 indent vpad\n\n<br> Which object is the heaviest?"},{"varval":"<div class=\"sm_img_inline\">\n\nBy comparing the weight of the objects:\r\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73b.svg\" width=\"50px\" height=\"50px\"> is heavier than <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73c.svg\" width=\"50px\" height=\"50px\"> \r\n\n<br>\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73b.svg\" width=\"50px\" height=\"50px\"> is the same weight as<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73a.svg\" width=\"55px\" height=\"50px\">\r\n\n<br>\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73d.svg\" width=\"50px\" height=\"50px\"> is heavier than <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73a.svg\" width=\"55px\" height=\"50px\"> \r\n\n<br>Therefore, <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/73d.svg\" width=\"50px\" height=\"50px\"> is the heaviest object.\r\n\n</div>\n"}]},{"vars":[{"varval":"Anthony is comparing the weights of four different objects using a balance scale.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74.svg indent vpad\n\n<br>Which object is the heaviest?"},{"varval":"<div class=\"sm_img_inline\">\n\nBy comparing the weight of the objects:\r\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74d.svg\" width=\"55px\" height=\"55px\"> is heavier than <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74a.svg\" width=\"55px\" height=\"55px\">\r\n\n<br>\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74d.svg\" width=\"55px\" height=\"55px\"> is the same weight as <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74c.svg\" width=\"55px\" height=\"55px\"> \r\n\n<br>\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74b.svg\" width=\"55px\" height=\"55px\"> is heavier than <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74c.svg\" width=\"55px\" height=\"55px\">\r\n\n<br>Therefore, <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/74b.svg\" width=\"55px\" height=\"55px\"> is the heaviest object.\r\n\n</div>\n"}]},{"vars":[{"varval":"Kate is comparing the weights of four different objects using a balance scale.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75.svg indent vpad\n\n<br>Which object is the heaviest?"},{"varval":"<div class=\"sm_img_inline\">\n\nBy comparing the weights of the objects:\r\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75c.svg\" width=\"55px\" height=\"55px\"> is heavier than <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75b.svg\" width=\"55px\" height=\"55px\">\r\n\n<br>\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75c.svg\" width=\"55px\" height=\"55px\"> is the same weight as <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75d.svg\" width=\"100px\" height=\"55px\">\r\n\n<br>\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75a.svg\" width=\"55px\" height=\"55px\"> is heavier than <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75d.svg\" width=\"100px\" height=\"55px\">\r\n\n<br>Therefore, <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/75a.svg\" width=\"55px\" height=\"55px\"> is the heaviest object.\r\n\n</div>"}]}]

Probability, RAPH14 Q49-51 - a12974d0-75e2-4b9e-acac-3db334595704 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nPeter spins the arrow on this spinner once.\n\n<br>\n\n>> <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/51.png\" width=\"250\" height=\"250\">\n\n<br>What is the chance of the arrow landing on a <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/51_m.png\" width=\"45\" height=\"45\"> ?\n\n</div>"},{"varval":"<div class=\"sm_img_inline center\">\n\nSince there are more <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/51_m.png\" width=\"45\" height=\"45\"> than <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/51_f.png\" width=\"50\" height=\"50\"> , it is \"likely\" that the arrow will land on <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/51_m.png\" width=\"45\" height=\"45\"> .\n\n</div>\n"}]}]

Measurement, RAPH14 Q70-72 - c2dcca10-2529-499a-8696-a234e11325c2 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Allie made these patterns by painting some squares.\r\n\nAll small squares are the same size.\r\n\nWhich of these patterns has the largest area painted?\r\n"},{"varval":"Count the number of painted squares in each option:\n\n>1st pattern – 20 squares are painted\r\n\t\n>2nd pattern – 22 squares are painted\r\n\n>3rd pattern – 16 squares are painted\r\n\n>4th pattern – 18 squares are painted\r\n\n<br>Therefore, the pattern with the largest area painted is:\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Patrick made these patterns by painting some triangles.\r\n\nAll small triangles are the same size.\r\n\nWhich of these patterns has the largest area painted?\r\n"},{"varval":"Count the number of painted triangles in each option:\n\n>1st pattern – 8 triangles are painted\r\n\n>2nd pattern – 10 triangles are painted\r\n\n>3rd pattern – 6 triangles are painted\r\n\n>4th pattern – 9 triangles are painted\n\r\n\n<br>Therefore, the pattern with the largest area painted is:\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Bella made these patterns by painting some hexagons.\r\n\nAll of the hexagons are the same size.\r\n\nWhich of these patterns has the largest area painted?\r\n"},{"varval":"Count the number of painted hexagons in each option:\n\n>1st pattern – 10 hexagons are painted\r\n\n>2nd pattern – 7 hexagons are painted\r\n\n>3rd pattern – 9 hexagons are painted\r\n\n>4th pattern – 9 hexagons are painted\r\n\n<br>Therefore, the pattern with the largest area painted is:\n\n{{{correctAnswer}}}\n"}]}]

Statistics, RAPH Job 12 71-72 - da886407-ad81-4a61-9a0f-e95d3bcda1ab - (September 01, 2021)

This question had no tables. I worked backwards from the question. Not sure if they were picture graphs but they work. Needs difficulty

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Two groups were sent to the nearby sea to catch some fish.\r\n\r\n\nThe total number of fish caught is shown in the table below.\n\n<br>\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/RAPH-Job-12-71_v0.svg 420 indent vpad\n\nHow many more fishes did Group 1 catch compared to Group 2."},{"varval":"Fishes caught by Group 1 = 6 x 5 = 30\r\n\nFishes caught by Group 2 = 4 x 5 = 20\r\n\nDifference = 30 – 20 = {{{correctAnswer}}} fishes\r\n"}]},{"vars":[{"varval":"Two farmers harvested apples from two different farms.\r\n\r\n\nThe total number of apples harvested is shown in the table below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/RAPH-Job-12-71_v1.svg 450 indent vpad\n\r\n\nHow many more apples were harvested at Farm B compared to Farm A."},{"varval":"Apples harvested at Farm A = 4 x 20 = 80\r\n\nApples harvested at Farm B = 9 x 20 = 180\r\n\nDifference = 180 – 80 = {{{correctAnswer}}} apples\r\n"}]},{"vars":[{"varval":"Two florists harvested flowers from two different gardens.\n\n\nThe total number of flowers harvested is shown in the table below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/garden-pictograph-min.svg 450 indent vpad\n\n\nHow many more flowers were harvested at Garden 2 compared to Garden 1."},{"varval":"Flowers harvested at Garden 1 = 8 x 6 = 48\n\nFlowers harvested at Garden 2 = 11 x 6 = 66\n\nDifference = 66 – 48 = {{{correctAnswer}}} flowers\n"}]},{"vars":[{"varval":"People attending a function were divided into two groups.\n\nThe total number of people attending is shown in the table below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/people-pictograph-min.svg 350 indent vpad\n\nHow many more people were in Group 2 compared to Group 1."},{"varval":"People in Group 1 = 7 x 30 = 210\n\nPeople in Group 2 = 10 x 30 = 300\n\nDifference = 300 – 210 = {{{correctAnswer}}} people \n"}]},{"vars":[{"varval":"Year 7 and Year 8 have been collecting cans for recycling.\n\nThe total number of cans collected is shown in the table below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/recycle-pictograph-2-min.svg 450 indent vpad\n\nHow many more cans were collected by Year 7 compared to Year 8."},{"varval":"Cans collected by Year 7 = 10 x 15 = 150\n\nCans collected by Year 8 = 4 x 15 = 60\n\nDifference = 150 – 60 = {{{correctAnswer}}} cans\n"}]},{"vars":[{"varval":"Two trucks were transporting pineapples to the farmers market.\n\n\nThe total number of pineapples being transported is shown in the table below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Pineapple-pictograph-min.svg 450 indent vpad\n\n\nHow many more pineapples were transported by Truck 1 compared to Truck 2."},{"varval":"Pineapples transported by Truck 1 = 9 x 50 = 450\n\nPineapples transported by Truck 2 = 4 x 50 = 200\n\nDifference = 450 – 200 = {{{correctAnswer}}} pineapples"}]}]

RAPH Job 12 67-68 - c46361f6-ce96-4940-8185-d8cd956baf58 - (September 01, 2021)

Needs difficulty

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What number is being represented by the arrow F?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/67.svg 350 indent vpad"},{"varval":"From the number line each interval is equal to 2.\r\n\nTherefore, the arrow F is pointing to the number 86.\r\n"}]},{"vars":[{"varval":"What number is being represented by the arrow E?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/68.svg 350 indent vpad"},{"varval":"From the number line each interval is equal to 2.\r\n\nTherefore, the arrow E is pointing to the number {{correctAnswer}}.\n"}]}]

Algebra, NAP_10707 - cf4c804b-1af6-4792-ab41-0b210a168321 - (September 01, 2021)

Raph 12 69-70

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Chester is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.\r\n\nHe has 3 more points to join to form another parallelogram.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/69.svg 350 indent vpad\n\nTwo of the points are H2 and C0.\n\nWhich of the following is the third point to connect?\n"},{"varval":"By connecting the points H2, {{correctAnswer}} and C0 we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/69s.svg 350 indent vpad"}]},{"vars":[{"varval":"Rick is drawing 3 triangles on a square grid without crossing the sides of any other triangles.\r\n\nHe has 2 more points to join to form another triangle.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/70.svg 350 indent vpad\n\nOne of the points is E0\r\n\nWhich of the following is the second point to connect?\r\n"},{"varval":"By connecting the points E0 and B2 we obtain another triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/70s.svg 350 indent vpad"}]},{"vars":[{"varval":"Salma is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.\n\nShe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v2.svg 450 indent vpad\n\nTwo of the points are I2 and D0.\n\nWhich of the following is the third point to connect?"},{"varval":"By connecting the points I2, {{correctAnswer}} and D0 we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v2ws.svg 450 indent vpad"}]},{"vars":[{"varval":"Olga is drawing parallelograms on a square grid without crossing the sides of any other parallelograms.\n\nShe has 3 more points to join to form another parallelogram.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v2.svg 450 indent vpad\n\nTwo of the points are C2 and H4.\n\nWhich of the following is the third point to connect?"},{"varval":"By connecting the points C2, {{correctAnswer}} and H4 we obtain another parallelogram. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v3ws.svg 450 indent vpad"}]},{"vars":[{"varval":"Aitana is drawing 3 triangles on a square grid without crossing the sides of any other triangles.\n\nShe has 2 more points to join to form another triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v4.svg 300 indent vpad\n\n\nOne of the points is E1.\n\nWhich of the following is the second point to connect?\n"},{"varval":"By connecting the points E1 and {{correctAnswer}} we obtain another triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10707_v4ws.svg 300 indent vpad"}]}]

RAPH Job 12 65-66 - e2d48b7f-736e-4e76-89ec-7be7b3ccb33d - (September 01, 2021)

Needs difficulty

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these triangles have the least fraction of area shaded?"},{"varval":"All of the triangles have their area shaded by at least $\\dfrac{1}{2}$\n\nExcept for this figure:\n\r\n\n<br>\n\n{{{correctAnswer}}}\n\n<br>Which has only $\\dfrac{1}{4}$ of its area shaded."}]},{"vars":[{"varval":"Which of these parallelograms has the greatest fraction of area shaded?"},{"varval":"All of the parallelograms have their area shaded by less than $\\dfrac{1}{2}$ \r\n\nExcept for this figure:\n\n<br>\n\n\r\n\n{{{correctAnswer}}} \n\n<br>\n\n<br>Which has exactly $\\dfrac{1}{2}$ of its area shaded."}]}]

Number and Algebra, RAPH14 Q46-48 - b738d78d-2e9f-4f0d-99db-a8019b75e3d8 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Gina gave 5 of her friends 9 toys each.\r\n\nWhich of the following can be used to find how many toys, in total, Gina gave to her friends?\n"},{"varval":"sm_nogap Since Gina gave 5 of her friends 9 toys each:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total toys|= 5 $\\times$ 9|\n| |= {{{correctAnswer}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"Oli gave 4 of his friends 3 marbles each.\r\n\nWhich of the following can be used to find how many marbles, in total, Oli gave to his friends?\r\n"},{"varval":"sm_nogap Since Oli gave 4 of his friends 3 marbles each:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total marbles|= 4 $\\times$ 3|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Lance gave 7 of his friends 3 AFL cards each.\n\nWhich of the following can be used to find how many AFL cards, in total, Lance gave to his friends?"},{"varval":"sm_nogap Since Lance gave 7 of his friends 3 AFL cards each:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total cards|= 7 $\\times$ 3|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Jodie gave 5 of her friends 3 donuts each.\n\nWhich of the following can be used to find how many donuts, in total, Jodie gave to her friends?"},{"varval":"sm_nogap Since Jodie gave 5 of her friends 3 donuts each:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total donuts|= 5 $\\times$ 3|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Maureen gave 4 of her friends 8 Easter eggs.\n\nWhich of the following can be used to find how many Easter eggs, in total, Maureen gave to her friends?"},{"varval":"sm_nogap Since Maureen gave 4 of her friends 8 Easter eggs each:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total Easter eggs|= 4 $\\times$ 8|\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Django gave 5 of his friends 9 coloured pencils.\n\nWhich of the following can be used to find how many coloured pencils, in total, Django gave to his friends?"},{"varval":"sm_nogap Since Django gave 5 of his friends 9 coloured pencils each:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Total coloured pencils|= 5 $\\times$ 9|\n| |= {{{correctAnswer}}}|\n\n</div>"}]}]

RAPH14 Q43-45 - d25b34de-8f52-4d9a-977b-91fbd1325e2c - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table shows the total number of dogs that Timothy and Gabbi own.\n\n<br>\n\n<div class=\"outline\">\n\n> > | | German Shepherd| Poodle| Labrador|\n> > | :---: | :------: | :-----: | :------: |\n> > | Gabbi | 1 | 2 | 2 |\n> > | Timothy | 1 | 1 | 3 |\n\n</div>\n\n<br>They draw a picture graph showing the correct number of dogs they own altogether.\r\n\nWhich picture graph did they draw?\r\n"},{"varval":"German Shepherds = 1 +1 = 2\r\n\nPoodles = 2 + 1 = 3\r\n\nLabradors =2 + 3 = 5\r\n\nTherefore, the correct picture graph is:\n\n\r\n{{{correctAnswer}}}"}]}]

RAPH14 Q40-42 - b55d9e96-4be9-494c-a06a-d115b8f1d7f7 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sarah travelled one thousand and eighty-six kilometres from Melbourne to Sydney.\n\n<br>\n\r\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/42.svg 300 indent vpad\n\n<br>The distance can be written as:"},{"varval":"{{{correctAnswer}}}"}]}]

Number, RAPH14 Q37-39 - b10934ed-4194-4fb7-849d-e72bef32e43c - (September 01, 2021)

SJ Add/subtract

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The scale is balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/39.svg 350 indent vpad\n\n<br>What is the weight of the square?"},{"varval":"sm_nogap Since the scale is balanced, both sides must weigh 37 grams.\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Weight of square | \\= 37 $–$ 23 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The scale is balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_1a-min.svg 300 indent vpad\n\n<br>What is the weight of the square?"},{"varval":"sm_nogap Since the scale is balanced, both sides must weigh 45 kilograms.\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Weight of square | \\= 45 $–$ 19 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The scale is balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_2a-min.svg 300 indent vpad\n\n<br>What is the weight of the circle?"},{"varval":"sm_nogap Since the scale is balanced, both sides must weigh 105 grams.\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Weight of circle | \\= 105 $–$ 71 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The scale is balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_3-min.svg 300 indent vpad\n\n<br>What is the weight of the rectangle on the left?"},{"varval":"sm_nogap Since the scale is balanced, both sides must weigh the same.\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Weight of rectangle | \\= 39 $+$ 45 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The scale is balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_4-min.svg 300 indent vpad\n\n<br>What is the weight of the rectangle on the left?"},{"varval":"sm_nogap Since the scale is balanced, both sides must weigh the same.\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Weight of rectangle | \\= 117 + 144 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"The scale is balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/balance-1_5-min.svg 350 indent vpad\n\n<br>What is the weight of the circle?"},{"varval":"sm_nogap Since the scale is balanced, both sides must weigh 195 grams.\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Weight of circle | \\= 195 $–$ 106 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>\n"}]}]

Geometry, RAPH14 Q36 - a4cb7a2f-efc3-4394-a422-80466d846de2 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This pattern is made by turning a tile.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/36.svg 580 indent vpad\n\n<br>Which tile is missing from the pattern?"},{"varval":"{{{correctAnswer}}}"}]}]

RAPH14 Q31-33 - 0cbf2dfc-017f-4c0f-a5c3-45cb4f156254 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jason folded this piece of paper along the dotted lines to make a model.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/31.svg 250 indent3 vpad\n\n<br>Which model did Jason make?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/31sol.svg 450 indent vpad"}]},{"vars":[{"varval":"Michelle has a piece of paper and folded it along the dotted lines to make a figure.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/32.svg?a 200 indent3 vpad\n\n<br>Which model did Michelle make?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/32sol.svg 450 indent vpad"}]},{"vars":[{"varval":"Christopher folded this piece of paper along the dotted lines into a model.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/33.svg 310 indent3 vpad\n\n<br>Which model did Christopher make?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/33sol.svg 550 indent vpad"}]}]

RAPH14 Q28-30 - 16df6d61-0b83-440b-9971-238d9521d59a - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Gabriel has a book which has more than 628 pages but less than 682 pages.\n\nWhich of these could be the number of pages in Gabriel’s book?\r\n"},{"varval":"sm_nogap Check each option:\r\n\n>>665 is more than 628 and less than 682 (Correct)\r\n\n>>620 is less than 628 (Incorrect)\r\n\n>>689 is more than 682 (Incorrect)\r\n\n>>606 is less than 628 (Incorrect\r)\n"}]}]

RAPH14 Q25-27 - 5d14dfac-cba9-4928-a8eb-bf8f8b13c61e - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Some students were asked to name their favourite ice-cream flavour.\r\n\nThe table shows their responses.\n\n\r<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/27.svg 310 indent vpad\n\n<br>How many students were asked, altogether?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total number | \\= 16 + 14 + 14 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]}]

RAPH14 Q22-24 - e0197b33-7dd3-4dbf-a34e-b1f343ad1d41 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jake sold his surfboard and received these notes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/23.svg 550 indent vpad\n\nHow much did Jake sell his surfboard for?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total money | \\= (3 $\\times$ 50) + (2 $\\times$ 10) + 5 |\n| | = 150 + 20 + 5 |\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]}]

Measurement, RAPH14 Q19-21 - ef33b403-1864-4643-bc43-956fd9dd333c - (September 01, 2021)

Raph14-20 Raph14-21 Raph15-25 Raph15-27 SJ: Added_v4,v5,v6 Analog

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which clock shows half-past five?"},{"varval":"{{{correctAnswer}}}\n\n"}]},{"vars":[{"varval":"Which clock shows half-past nine?"},{"varval":"{{{correctAnswer}}}\n\n"}]},{"vars":[{"varval":"Which clock shows quarter to 6?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which clock shows quarter past 11?"},{"varval":"60 minutes = 1 hour\n\n15 minutes = quarter of 1 hour\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which clock shows half-past three?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which clock shows half-past eleven?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which clock shows half-past eight?"},{"varval":"{{{correctAnswer}}}"}]}]

RAPH14 Q16-18 - 20ae6425-ec0e-4556-a88c-6b2189a1da99 - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"An apartment building has 9 flats.\n\nEach flat has 3 beds inside.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Raph14-18.png 250 indent3 vpad\n\n<br>How many beds are there in the apartment building, altogether?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | ----------------- |\n| Number of beds| = 3 $\\times$ 9 |\n| | = {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A large wooden crate contains 5 boxes.\n\nEach box has 12 apples\r in it.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/box_apple-min.svg 250 indent vpad\n\nHow many apples are there in total?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total apples | \\= 5 $\\times$ 12 |\r\n| | \\= {{{correctAnswer}}} apples |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A clothes chest has 3 drawers\r.\n\nEach drawer has 8 pairs of football socks in it.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/drawers_3_a-min.svg 250 indent vpad\n\n\r\nHow many pairs of football socks are in the clothes chest altogether?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total pairs of socks | \\= 3 $\\times$ 8 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A tram has 4 carriages.\n\nEach carriage has seating for 21 passengers.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/tramway-1294365.svg 200 indent vpad\n\n\nHow many seats are on the tram altogether?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Total number of seats | \\= 4 $\\times$ 21 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Jess buys 5 boxes of donuts.\n\nEach box contains 6 donuts.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/donut-2013343.svg 150 indent vpad\n\n\nHow many donuts has Jess purchased altogether?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Total number of seats | \\= 5 $\\times$ 6 |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"James is collecting eggs at his grandparent's farm. \n\nThere are 14 laying boxes and each laying box contains 10 eggs.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/chicken-45929.svg 300 indent vpad\n\n\nHow many eggs will James have to collect altogether?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| Total number of seats | \\= 14 $\\times$ 10 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

RAPH14 Q13-15 - 84234eed-da8c-445b-87f0-ede7535b968e - (September 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Norman has these two shapes\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/13.svg 200 indent vpad\n\nWhich shape could he make by joining them together?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/13-sol.svg 450 indent vpad"}]},{"vars":[{"varval":"Raven has these two shapes.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/14.svg 190 indent vpad"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/14-sol.svg 480 indent vpad\n"}]},{"vars":[{"varval":"William has these two shapes.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/15.svg 200 indent vpad\n\n<br>Which shape could he make by joining them together?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/15_sol.svg 450 indent vpad"}]}]

Math Job 15 103 - 8c668d75-6d16-4db2-ae64-888a744a5ff3 - (August 31, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This is a map of a city.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-103.svg 350 indent vpad\n\nRaymond travelled along the path from the start to end.\r\n\nFor how many metres did Raymond travelled north?"},{"varval":"Mark all the path where he is travelling north.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-103Ans.svg 350 indent vpad\n\nThere are 7 squares that Raymond covered while travelling north.\r\n\nDistance that Raymond travelled north:\r\n\n7 x 20 = {{{correctAnswer0}}}"}]}]

Measurement, Raph15-100 - 14cf19fb-95a9-41c0-a257-4ea2899512d6 - (August 31, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Amira has blocks with six rectangular faces.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-100.svg 40 indent3 vpad\n\n\r\nShe makes this model.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-100_1.svg 200 indent2 vpad\n\nWhat is the height of the model in centimetres?"},{"varval":"Height of a single block:\r\n\n24 ÷ 2 = 12 cm\r\n\r\n\nHeight of the block = 4 $\\times$ short edge of block\n\r\n\nLength of the short edge of the block:\r\n\n12 ÷ 4 = 3 cm\r\n\r\n\nHeight of the model:\r\n\n3 + 12 + 3 = {{{correctAnswer0}}}\r {{{suffix0}}}"}]},{"vars":[{"varval":"Henry has blocks with two square faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-101.svg 50 indent3 vpad\n\nHe makes this model.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-101_1.svg 150 indent2 vpad\n\nWhat is the height of the model in centimetres?"},{"varval":"Height of a single block:\r\n\n16 ÷ 2 = 8 cm\r\n\r\n\nLength of the side of the square block:\r\n\n8 ÷ 2 = 4 cm\r\n\r\n\nHeight of the model:\r\n\n4 + 8 + 4 = {{{correctAnswer0}}}\r {{{suffix0}}}"}]},{"vars":[{"varval":"Charles has blocks with six rectangular faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-102.svg 50 indent3 vpad\n\nHe makes this model.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-102_1.svg 240 indent2 vpad\n\nWhat is the height of the model in centimetres?"},{"varval":"Height of a single block:\r\n\n40 ÷ 2 = 20 cm\r\n\r\n\nLength of the short edge of the rectangular block:\r\n\n20 ÷ 4 = 5 cm\r\n\r\n\nHeight of the model:\r\n\n5 + 20 + 5 = {{{correctAnswer0}}}\r {{{suffix0}}}"}]}]

Number and Algebra, Raph15-97 - 94e89e7e-1b26-406a-a768-64d153462a02 - (August 31, 2021)

Raph15-97 Raph15-98 Raph15-99

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Roger has these cards.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-97.svg 250 indent vpad\n\nHere are two ways Roger can arrange the cards to make a total.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-97_1.svg 340 indent vpad\n\nWhat is the largest total Roger can make using all the cards?"},{"varval":"Largest 3-digit number = 954\r\n\r\n<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Largest number|= 954 + 2 |\n| |= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Patrick has these cards.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-99.svg 250 indent vpad\n\nHere are two ways he can arrange the cards to make a total.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/Math-Job-15-99_1.svg 340 indent vpad\n\nWhat is the largest total Patrick can make using all the cards?"},{"varval":"Largest 3-digit number = 874\n\r\n<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Largest number|= 874 + 3 |\n| |= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Zander has these cards.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-98.svg 250 indent vpad\n\nHere are two ways he can arrange the cards to make a total.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-98_1.svg 350 indent vpad\n\nWhat is the largest total Zander can make using all the cards?"},{"varval":"Largest 3-digit number = 763\n\r\n<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Largest number|= 763 + 1 |\n| |= {{{correctAnswer0}}}|\n\n</div>"}]}]

Number and Algebra, Raph15-94 - d417e17c-1f30-42dd-af45-92393bf19f18 - (August 30, 2021)

Raph15-94 Raph15-95 Raph15-96

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Princess buys a slice of cake and a cup of tea.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-94.png 350 indent vpad\n\nShe pays with a $5 note and gets back $1.30 in change.\n\nHow much does the cake cost?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Cost of cake|= 5 $-$ (2.20 + 1.30) |\n| |= 5 $-$ 3.50 |\n| |= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Candice buys a lollipop and a chocolate bar.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-95.png 300 indent3 vpad\n\nShe pays with a $5 note and gets back exactly $1.00 in change.\n\nHow much does the lollipop cost?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Cost of lollipop|= 5 $-$ (2.90 + 1.00) |\n| |= 5 $-$ 3.90 |\n| |= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"James buys a robot and a toy car from the toy store.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-96.png 350 indent3 vpad\n\nHe pays with a $20 note and gets back $2.20 in change.\n\nWhat price did James pay for the robot?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Cost of robot|= 20 $-$ (5.50 + 2.20) |\n| |= 20 $-$ 7.70 |\n| |= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]}]

Geometry, Raph15-91 - 74fb0c43-96c8-40d4-9761-3794f92edae9 - (August 30, 2021)

Raph15-91 Raph15-92 Raph15-93

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Leo cut a triangular prism from a cube to make this object.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-91.svg 200 indent3 vpad\n\n<br>How many edges does the object have?"},{"varval":"Edges on top face = 5\n\nEdges on bottom face = 5\n\nVertical edges = 5\n\nTotal edges = 5 + 5 + 5 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Sebastian cut a rectangular prism from a cube to make this object.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-92.svg 200 indent3 vpad\n\n<br>How many edges does the object have?"},{"varval":"Edges on top face = 8\n\nEdges on bottom face = 8\n\nVertical edges = 8\n\nTotal edges = 8 + 8 + 8 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Milat had a wooden cube.\n\nHe cut away half of the cube to make this object.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-93.svg 200 indent vpad\n\n<br>How many edges does the object have?"},{"varval":"Edges on top face = 3\n\nEdges on bottom face = 3\n\nVertical edges = 3\n\nTotal edges = 3 + 3 + 3 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Lolo cut a \rpentagonal prism from a cube to make this object.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_Raph15-91_v3.svg 180 indent3 vpad\n\n<br>How many edges does the object have?"},{"varval":"Edges on top face = 9\n\nEdges on bottom face = 9\n\nVertical edges = 9\n\nTotal edges = 9 + 9 + 9 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Lars cut 4 identical rectangular prisms from a cube to make this object.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_Raph15-91_v4a.svg 200 indent3 vpad\n\n<br>How many edges does the object have?"},{"varval":"Edges on front face = 20\n\nEdges on back face = 20\n\nHorizontal edges = 20\n\nTotal edges = 20 + 20 + 20 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Lindley cut 4 identical triangular prisms from a cube to make this object.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_Raph15-91_v5.svg 200 indent3 vpad\n\n<br>How many edges does the object have?"},{"varval":"Edges on front face = 16\n\nEdges on back face = 16\n\nHorizontal edges = 16\n\nTotal edges = 16 + 16 + 16 = {{{correctAnswer}}}"}]}]

Statistics, Raph15-88 - cde427a1-d223-459d-907f-e21f53ebe56e - (August 30, 2021)

Raph15-88 Raph15-89 Raph15-90

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This table shows the types of pizzas a customer of a pizza restaurant ordered each month over a 12 month period.\n\n<div class=\"sm-table col1-color1 row1-color1 top-left-cell-hidden\">\n\n>| | Jan | Feb | Mar| Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec |\n| - | :-: |:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n| Hawaiian | $\\checkmark$ || $\\checkmark$ | $\\checkmark$ |$\\checkmark$ ||| $\\checkmark$ | $\\checkmark$ || $\\checkmark$ ||\n| Pepperoni | $\\checkmark$ | $\\checkmark$ || $\\checkmark$ |$\\checkmark$ || $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ || $\\checkmark$ |\n| Cheese || $\\checkmark$ | $\\checkmark$ || | $\\checkmark$ |$\\checkmark$|| | $\\checkmark$ |$\\checkmark$||\n| Vegetarian | $\\checkmark$ || $\\checkmark$ |$\\checkmark$|| $\\checkmark$ | $\\checkmark$ | $\\checkmark$ ||| $\\checkmark$ |\n\n</div>\n\n<br>\n\nIn how many months did the customer order pepperoni pizza but not vegetarian pizza."},{"varval":"There are {{{correctAnswer}}} months where Faye ordered pepperoni but not vegetarian pizza:\n\n$\\rightarrow$ Feb,\r May\r, Sep, Oct, Dec"}]},{"vars":[{"varval":"This table shows the different flavours of ice cream Irene ate over a 12-month period.\n\n<div class=\"sm-table col1-color8 row1-color8 top-left-cell-hidden\">\n\n>| | Jan | Feb | Mar| Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec |\n| - | :-: |:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-|\n| Chocolate | $\\checkmark$ || $\\checkmark$ | $\\checkmark$ |$\\checkmark$ ||| $\\checkmark$ | $\\checkmark$ || $\\checkmark$ ||\n| Strawberry | $\\checkmark$ | $\\checkmark$ || $\\checkmark$ |$\\checkmark$ || $\\checkmark$ | | $\\checkmark$ | $\\checkmark$ |||\n| Cookies n cream | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | | $\\checkmark$ |$\\checkmark$| | | $\\checkmark$ |$\\checkmark$| $\\checkmark$ |\n| Vanilla || $\\checkmark$ | $\\checkmark$ |$\\checkmark$|| $\\checkmark$ | | $\\checkmark$ |$\\checkmark$|$\\checkmark$| $\\checkmark$ |$\\checkmark$ |\n\n</div>\n\n<br>\n\nIn how many months did Irene eat vanilla ice cream but not chocolate ice cream."},{"varval":"There are {{{correctAnswer}}} months where Irene ate vanilla but not chocolate ice cream.\r\n\n$\\rightarrow$ Feb, Jun, Oct, Dec"}]},{"vars":[{"varval":"This table shows the months when a fruit grower picked different types of fruit.\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>| | Jan | Feb | Mar| Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec |\n| - | :-: |:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-|\n| Apple | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ ||||||| $\\checkmark$ | $\\checkmark$ |\n| Cherry | $\\checkmark$ | $\\checkmark$ |||||||$\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ |\n| Peach ||| $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ |$\\checkmark$||||$\\checkmark$ ||\n| Orange |$\\checkmark$|||||| $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ | $\\checkmark$ |\n\n</div>\n\n<br>\n\nDuring how many months did the fruit grower pick cherries but not peaches."},{"varval":"There are {{{correctAnswer}}} months where the farmer harvested cherries but not peach.\r\n\n$\\rightarrow$ Jan, Feb, Sep, Oct, Dec"}]}]

Math Job 15 87 - 561efc5a-84b5-4320-868d-b9bc841fdbd3 - (August 27, 2021)

SJ Added Multiply/divide (v3-v5)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A shop sells apples in boxes.\r\n\nA small box has 4 apples.\r\n\nA medium box has 9 apples.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-87.svg 300 indent vpad\n \r\n\r\nKira buys a total of 50 apples.\r\n\nShe buys 2 medium boxes and a number of small boxes.\r\n\nHow many small boxes does Kira buy?\r"},{"varval":"sm_nogap Number of apples in 2 medium boxes:\r\n\n>>2 x 9 = 18\r\n\nsm_nogap Number of apples needed:\r\n\n>>50 $-$ 18 = 32\r\n\nsm_nogap Number of small boxes:\r\n\n>>32 ÷ 4 = {{{correctAnswer0}}}\r"}]},{"vars":[{"varval":"A shop sells donuts in trays and boxes.\r\n\nEach tray holds 5 donuts.\r\n\nEach box holds 10 donuts.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-85.svg 200 indent vpad\n\nJudy buys a total of 60 donuts.\r\n\nShe buys 3 boxes and some trays.\r\n\nHow many trays does Judy buy?\r"},{"varval":"<div class=\"sm_mode\">\n\nsm_nogap Number of donuts in 3 boxes:\r\n\n>>3 x 10 = 30\r\n\nsm_nogap Number of donuts needed:\r\n\n>>60 $-$ 30 = 30\r\n\nsm_nogap Number of trays:\r\n\n>>30 ÷ 5 = {{{correctAnswer0}}}\r\n\n</div>"}]},{"vars":[{"varval":"A shop sells cookies in trays and boxes.\r\n\nEach tray holds 6 cookies.\r\n\nEach box holds 12 cookies.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-86.svg 200 indent vpad\n \r\n\r\nJ-Dawg buys a total of 90 cookies.\r\n\nHe buys 4 boxes and some trays.\r\n\nHow many trays does J-Dawg buy?\r"},{"varval":"sm_nogap Number of cookies in 4 boxes:\r\n\n>>4 x 12 = 48\r\n\nsm_nogap Number of cookies needed:\r\n\n>>90 $-$ 48 = 42\r\n\nsm_nogap Number of trays:\r\n\n>>42 ÷ 6 = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"A shop sells pears in boxes.\n\nA small box has 3 pears.\n\nA medium box has 6 pears.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/pear-boxes-min.svg 200 indent vpad\n \n\nAmie buys a total of 45 pears.\n\nShe buys 4 medium boxes and a number of small boxes.\n\nHow many small boxes does Amie buy?\n\n"},{"varval":"sm_nogap Number of pears in 4 medium boxes:\n\n>>4 x 6 = 24\n\nsm_nogap Number of pears needed:\n\n>>45 $-$ 24 = 21\n\nsm_nogap Number of small boxes:\n\n>>21 ÷ 3 = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"A shop sells capsicums in boxes.\n\nA small box has 3 capsicums.\n\nA medium box has 6 capsicums.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/bell-peppers-box-min.svg 300 indent vpad\n \n\nBillie buys a total of 27 capsicums.\n\nShe buys 2 medium boxes and a number of small boxes.\n\nHow many small boxes does Billie buy?\n"},{"varval":"sm_nogap Number of capsicums in 2 medium boxes:\n\n>>2 x 6 = 12\n\nsm_nogap Number of capsicums needed:\n\n>>27 $-$ 12 = 15\n\nsm_nogap Number of small boxes:\n\n>>15 ÷ 3 = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"A shop sells cupcakes in boxes.\n\nA small box has 10 cupcakes.\n\nA medium box has 15 cupcakes.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/cakes-box-min.svg 400 indent vpad\n \n\nBodhi buys a total of 75 cupcakes.\n\nHe buys 3 medium boxes and a number of small boxes.\n\nHow many small boxes does Bodhi buy?\n"},{"varval":"sm_nogap Number of cupcakes in 3 medium boxes:\n\n>>3 x 15 = 45\n\nsm_nogap Number of cupcakes needed:\n\n>>75 $-$ 45 = 30\n\nsm_nogap Number of small boxes:\n\n>>30 ÷ 10 = {{{correctAnswer0}}}"}]}]

Number and Algebra, Raph15-82 - ec040d4c-e4ec-495c-ae03-9912e13f808f - (August 25, 2021)

Raph15-82 Raph15-83 Raph15-84

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ramon cuts a 100-centimetre rod into two pieces.\r\n\nThe longer piece is four times the length of the shorter piece.\r\n\nWhat is the length of the longer piece?\r"},{"varval":"sm_nogap Equal parts = 4 + 1 = 5\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Length of 1 part |= 100 $\\div$ 5|\n||= 20 centimetres|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Length of longer piece |= 4 $\\times$ 20|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Lina cuts a 12-metre length of ribbon into two pieces.\r\n\nThe longer piece is five times the length of the shorter piece.\r\n\nWhat is the length of the longer piece?\r"},{"varval":"sm_nogap Equal parts = 5 + 1 = 6\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Length of 1 part |= 12 $\\div$ 6|\n||= 2 metres|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Length of longer piece |= 5 $\\times$ 2|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Karen cuts a 9-centimetre stick into two pieces.\r\n\nThe longer piece is two times the length of the shorter piece.\r\n\nWhat is the length of the longer piece?\r"},{"varval":"sm_nogap Equal parts = 2 + 1 = 3\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Length of 1 part |= 9 $\\div$ 3|\n||= 3 centimetres|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Length of longer piece |= 2 $\\times$ 3|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Number and Algebra, Raph15-79 - 505486b3-4e67-4366-8746-aafb65b09476 - (August 25, 2021)

Raph15-80 Raph15-81

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Monica hangs 3 flags on a horizontal pole to make a banner.\n\nAny flags next to each other share a pin.\n\nShe uses 4 pins.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-80.svg 350 indent3 vpad\n\n<br>How many pins would Monica use to hang 8 flags next to each other?"},{"varval":"1 flag = 2 pins\n\n2 flags = 3 pins\n\n$\\rightarrow$ 8 flags = {{{correctAnswer0}}} pins"}]},{"vars":[{"varval":"Light posts are placed every 100 metres on a road.\r\n\nFor the 300 metres of road below, there are 4 light posts.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-79.svg 550 indent vpad\n\n<br>How many lights posts are there for a 900 metre road?"},{"varval":"100 metre road = 2 light posts\n\n200 metre road = 3 light posts\n\n$\\rightarrow$ 900 metre road = {{{correctAnswer0}}} light posts"}]},{"vars":[{"varval":"Electric towers are installed for every 2 kilometres.\r\n\nFor the 6 km distance below, there are 4 electric towers.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-81.svg 550 indent vpad\n\n<br>How many electric towers are there for a distance of 12 km?"},{"varval":"2 km distance = 2 towers\n\n4 km distance = 3 towers\n\n$\\rightarrow$ 12 km distance = (12 $\\div$ 2) + 1 = {{{correctAnswer0}}} towers"}]}]

Geometry, Raph15-76 - df7139ae-87d6-4db8-9a2e-b9ab9daf0c64 - (August 25, 2021)

Raph15-77 Raph15-78

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Josie put one shape on top of another shape to make this figure.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-76.svg 120 indent vpad\n\n<br>Which two shapes could Josie have used?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-76d.svg 150 indent2 vpad\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-76Ans.svg 100 indent3 vpad"}]},{"vars":[{"varval":"Tim put one shape on top of another shape to make this figure.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-77.svg 155 indent3 vpad\n\nWhich two shapes could Tim have used?"},{"varval":"{{{correctAnswer}}}\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-77Ans.svg 150 indent3 vpad"}]},{"vars":[{"varval":"Ana put one shape on top of another shape to make this figure.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-78.svg 170 indent3 vpad\n\n<br>Which two shapes could Ana have used?"},{"varval":"{{{correctAnswer}}}\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-78Ans.svg 170 indent3 vpad"}]}]

Number and Algebra, Raph15-73 - 091aeda5-0300-48b6-8dae-a79151dd7c61 - (August 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jack has $2.20 in 20-cent coins.\r\n\nHow many 20-cent coins does Jack have?\r"},{"varval":"One strategy:\n\n$2.20 = 220 cents\r\n\n>5 $\\times$ 20 = 100 cents\r\n\n>10 $\\times$ 20 = 200 cents\r\n\t\n>11 $\\times$ 20 = 220 cents\r\n\n<br>Therefore, Jack has {{{correctAnswer0}}} 20-cent coins.\r"}]},{"vars":[{"varval":"Kim has $1.30 in 5-cent coins.\r\n\nHow many 5-cent coins does Kim have?\r"},{"varval":"One strategy:\n\n$1.30 = 130 cents\r\n\n>10 $\\times$ 5 = 50 cents\r\n\n>20 $\\times$ 5 = 100 cents\r\n\t\n>26 $\\times$ 5 = 130 cents\r\n\n<br>Therefore, Kim has {{{correctAnswer0}}} 5-cent coins.\r"}]},{"vars":[{"varval":"Hailey has $1.80 in 5-cent coins.\r\n\nHow many 5-cent coins does Hailey have?\r"},{"varval":"One strategy:\n\n$1.80 = 180 cents\r\n\n>10 $\\times$ 5 = 50 cents\r\n\n>20 $\\times$ 5 = 100 cents\r\n\n>30 $\\times$ 5 = 150 cents\r\n\t\n>36 $\\times$ 5 = 180 cents\r\n\n<br>Therefore, Hailey has {{{correctAnswer0}}} 5-cent coins.\r"}]},{"vars":[{"varval":"Danielle has $4.60 in 20-cent coins.\n\nHow many 20-cent coins does Danielle have?"},{"varval":"$4.60 = 460 cents\r\n\n>5 x 20 = 100 cents\r\n\n>10 x 20 = 200 cents\n\n>20 x 20 = 400 cents\r\n\n>23 x 20 = 460 cents\r\n\n<br>\nTherefore, Danielle has {{{correctAnswer0}}} 20-cent coins.\r"}]},{"vars":[{"varval":"Herb has $12.50 in 50-cent coins.\n\nHow many 50-cent coins does Herb have?"},{"varval":">2 x 50 = $1\n\n>20 x 50 = $10\n\n>25 x 50 = $12.50\n\n<br>\nTherefore, Herb has {{{correctAnswer0}}} 50-cent coins.\r"}]}]

Math Job 15 70 - 0e98ba25-1793-475f-9383-bea8c3e3b2f3 - (August 24, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This graph shows how much money Benny saves each month.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-70.svg 500 indent2 vpad\n\n<br>On how many months did Benny save at least $55?"},{"varval":"Months where Benny saved at least $55:\r\n\nFebruary, March, May, June, September and November.\n\n$\\rightarrow$ Saved at least $55 in {{{correctAnswer}}} months"}]},{"vars":[{"varval":"This graph shows how many pizzas Johan cooks each day.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-71.svg 500 indent3 vpad\n\n<br>On how many days did Johan bake at least 5 pizzas?"},{"varval":"Days where 5 or more pizzas were cooked:\n\nMonday, Wednesday, Saturday and Sunday.\n\n$\\rightarrow$ At least 5 pizzas cooked on {{{correctAnswer}}} days."}]},{"vars":[{"varval":"This graph shows how many customers a barber shop has each day over a week.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-72.svg 500 indent3 vpad\n\n<br>On how many days did the barber shop have at least 6 customers?"},{"varval":"Days where shop had 6 customers or more:\n\nMonday, Thursday and Sunday\n\n$\\rightarrow$ At least 6 customers on {{{correctAnswer}}} days"}]}]

Measurement, Raph15-67 - b83be445-2845-4c8f-8385-cd94e7c5c439 - (August 24, 2021)

Raph15-68 Raph15-69

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Dorothy has this picture on her computer.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-67.svg 150 indent3 vpad\n\n<br>She makes the picture half as high and twice as wide.\n\n\r\nHow will the picture look after he does that?\r"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Carmella is given this picture in her art class.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-68.svg 150 indent3 vpad\n\n<br>She redraws the picture twice as wide with the same height.\n\nWhat will Carmella's drawing look like?\r"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Greg has this picture on his laptop.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-69.svg 150 indent3 vpad\n\n<br>He makes a copy of the picture with the same width but half as high.\n\n\r\nHow will the picture look now?\r"},{"varval":"{{{correctAnswer}}}"}]}]

Statistics, Raph15-64 - 5ded4dd4-fe0f-46ff-89f6-383f5ce839dd - (August 23, 2021)

Raph15-65 Raph15-66

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This table shows the favourite sport of 600 people.\n\n<div class=\"outline\">\n\n> > | Favourite Sport | Number of people|\n> > | ------ | :----------------: |\n> > | Basketball| 245 |\n> > | Baseball| 132 |\n> > | Soccer| 120 |\n> > | Tennis | 103 |\n\n</div>\n<br>\nWhich of these is true?"},{"varval":"Number who prefer baseball = 132\n\nNumber who prefer tennis = 103\n\nCorrect statement: {{{correctAnswer}}}"}]},{"vars":[{"varval":"This table shows the favourite fruit of 500 people.\n\n<div class=\"outline\">\n\n> > | Favourite Fruit | Number of people|\n> > | ------ | :----------------: |\n> > | Apple | 85 |\n> > | Orange | 92 |\n> > | Banana | 67 |\n> > | Strawberry | 256 |\n\n</div>\n\n<br>\nWhich of these is true?"},{"varval":"Number who like strawberries = 256\n\nTotal people = 500\n\nCorrect statement: {{{correctAnswer}}}"}]},{"vars":[{"varval":"This table shows the grade level of 800 students.\n\n<div class=\"outline\">\n\n> > | Grade level | Number of people|\n> > | ------ | :----------------: |\n> > | Grade 1 | 176 |\n> > | Grade 2 | 155 |\n> > | Grade 3 | 298 |\n> > | Grade 4 | 171 |\n\n</div>\n\n<br>\nWhich of these is true?"},{"varval":"Number of students in 3rd grade = 298\n\nTotal students = 800\n\nCorrect statement: {{{correctAnswer}}}"}]}]

Math Job 15 63 - cfbc9538-035d-4fc6-ae45-9e40cea6df59 - (August 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Lyle had a circular piece of paper.\n\n\r\nHe folded it in half twice and cut a piece out as shown.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-63.svg 450 indent vpad\n\nHow will the piece of paper look when he unfolds it?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-63opt.svg 450 indent vpad\n"},{"varval":"The top-left quadrant of paper {{{correctAnswer}}} is similar to Lyle’s paper.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-63ans.svg 150 indent vpad\n"}]}]

Geometry, Raph15-61 - f81e6894-4451-4576-be24-c4be0838fad0 - (August 23, 2021)

Raph15-61 Raph15-62 Raph15-63

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jane had a circular piece of paper.\n\r\nShe folded it in half twice and cut a piece out as shown.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-61.svg 400 indent vpad\n\nWhich image shows the paper after it has been unfolded?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-61opt.svg 400 indent vpad"},{"varval":"The shape cut out in the top left quadrant is the same in each quadrant.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-61ans.svg 200 indent3 vpad\n\n<br>The unfolded paper is {{{correctAnswer}}}."}]},{"vars":[{"varval":"Paula had a circular piece of paper.\n\r\nShe folded it in half twice and cut a piece out as shown.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-62.svg 400 indent vpad\n\nWhich image shows the paper after it has been unfolded?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-62opt.svg 400 indent vpad"},{"varval":"The shape cut out in the top left quadrant is the same in each quadrant.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-62ans.svg 150 indent3 vpad\n\n<br>The unfolded paper looks like {{{correctAnswer}}}."}]},{"vars":[{"varval":"Lin had a circular piece of paper.\n\nShe folded it in half twice and cut a piece out as shown.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-63.svg 450 indent vpad\n\nWhich image shows the paper after it has been unfolded?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-63opt.svg 450 indent vpad"},{"varval":"The shape cut out in the top left quadrant is the same in each quadrant.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-63ans.svg 150 indent3 vpad\n\n<br> <br>The unfolded paper looks like option {{{correctAnswer}}}."}]}]

Number, RAPH12-1 - eaf0f4b5-ddd3-4d70-b0bb-255b2c7c8a21 - (August 23, 2021)

RAPH12-1

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Yohan went to the store to buy some chips.\r\n\nIt costs $15 to buy 5 bags of chips.\r\n\nIf each bag of chips costs the same, how many bags of chips could he buy for $54?\r\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Cost of 1 bag | \\= 15 $\\div$ 5 |\n| | \\= $3 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Number of bags | \\= 54 $\\div$ 3 |\n| | \\= {{{correctAnswer}}} bags |\n\n</div>\n\n"}]},{"vars":[{"varval":"Julia wants to buy a T-shirt in a mall.\r\n\nA certain shop sells 2 T-shirts for the cost of $14.\r\n\nIf each T-shirt costs the same, how many T-shirts can she buy if she has $91?\r\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Cost of 1 shirt | \\= 14 $\\div$ 2 |\n| | \\= $7 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Number of bags | \\= 91 $\\div$ 7 |\n| | \\= {{{correctAnswer}}} shirts |\n\n</div>"}]},{"vars":[{"varval":"Bryn went to the store to buy some apples.\n\nIt costs $16 to buy 4 kilograms of apples.\n\nIf each kilogram of apples costs the same, how many kilograms of apples could he buy for $68?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Cost of 1 kilogram | \\= 16 $\\div$ 4 |\n| | \\= $4 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Number of kilograms | \\= 68 $\\div$ 4 |\n| |= (60 $\\div$ 4) + (8 $\\div$ 4) |\n| |= 15 + 2 |\n| | \\= {{{correctAnswer}}} kilograms |\n\n</div>\n\n"}]},{"vars":[{"varval":"Ingrid went to the market to buy some flowers.\n\nIt costs $42 to buy 6 bunches of flowers.\n\nIf each bunch of flowers costs the same, how many bunches of flowers could she buy for $84?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Cost of 1 bunch | \\= 42 $\\div$ 6 |\n| | \\= $7 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Number of bunches | \\= 84 $\\div$ 7 |\n| | \\= {{{correctAnswer}}} bunches |\n\n</div>\n\n"}]},{"vars":[{"varval":"Ester went to the market to buy some potatoes.\n\nIt costs $27 to buy 9 bags of potatoes.\n\nIf each bag of potatoes costs the same, how many bags of potatoes could she buy for $90?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Cost of 1 bag | \\= 27 $\\div$ 9 |\n| | \\= $3 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Number of bags | \\= 90 $\\div$ 3 |\n| | \\= {{{correctAnswer}}} bags |\n\n</div>\n\n"}]},{"vars":[{"varval":"Marcus went to the store to buy some socks.\n\nIt costs $28 to buy 4 pairs of socks.\n\nIf each pair of socks costs the same, how many pairs of socks could he buy for $63?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Cost of 1 pair of socks | \\= 28 $\\div$ 4 |\n| | \\= $7 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Number of pairs of socks | \\= 63 $\\div$ 7 |\n| | \\= {{{correctAnswer}}} pairs|\n\n</div>\n\n"}]}]

Measurement, Raph15-58 - d9d4a705-1d97-45d5-91ce-6584945ac162 - (August 20, 2021)

Raph15-59 Raph15-60

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-58.svg 440 indent vpad\n\nCatherine’s birthday is October 27.\n\nKyle’s birthday is 8 days after Catherine’s birthday.\n\nOn which day of the week is Kyle’s birthday?"},{"varval":"Count 8 days after October 27.\n\n\rIt will be {{{correctAnswer}}}.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-58Ans.svg 350 indent vpad"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-59.svg 450 indent vpad\n\nMark’s birthday is November 29.\n\nRon’s birthday is 5 days after Mark’s birthday.\n\nOn which day of the week is Ron’s birthday?\r"},{"varval":"Count 5 days after November 29.\r\n\nIt will be {{{correctAnswer}}}.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-59Ans.svg 350 indent vpad"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-60.svg 450 indent vpad\n\nHarold’s birthday is December 8.\n\nTyrone’s birthday is 9 days before Harold’s birthday.\n\nOn which day of the week is Tyrone’s birthday?\r"},{"varval":"Count 9 days before December 8.\n\nIt will be {{{correctAnswer}}}.\n\r\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-60Ans.svg 350 indent vpad"}]}]

Math Job 15 55 - 40948884-a408-466d-aa01-b7aad3cc9a52 - (August 20, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Nora shaded these 4 shapes on grid paper.\n\nWhich shape has the **least** shading?\r"},{"varval":"Count the number of shaded squares for each shape (2 half triangles are equal to 1 square).\n\r\n>A = 12\r\n\n>B = 9\r\n\n>C = 13\n\n>D = 12\r\n\r\n\n<br>The shape with the least shading is:\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Karen shaded these 4 shapes on grid paper.\n\n\rWhich shape has the **least** shading?\r"},{"varval":"Count the number of shaded squares for each shape (2 half triangles are equal to 1 square).\n\n>A = 11\n\n>B = 12\r\n\n>C = 15\r\n\n>D = 9\r\n\r\n\n<br>The shape with the least shading is\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Nobe shaded these 4 shapes on grid paper.\n\nWhich shape has the **least** shading?\r"},{"varval":"Count the number of shaded squares for each shape (2 half triangles are equal to 1 square).\r\n\n>A = 12\r\n\n>B = 16\r\n\n>C = 13\r\n\n>D = 15\r\n\r\n\n<br>The shape with the least shading. is\n\n{{{correctAnswer}}}"}]}]

Number and Algebra, Raph15-52 - b80a05df-f00c-4183-b8b9-7dedf2de907f - (August 20, 2021)

Raph15-53 Raph15-54

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table shows the weights of 5 friends.\n\n<div class=\"outline\">\n\n> |Name |Annie|Brian|Hamza|Vivian|Cade|\n> |:-:|:-:|:-:|:-:|:-:|:-:|\n|Weight (pounds)|110|126|119|122|135|\n\n</div>\n\n<br>\nWho is 9 pounds lighter than the heaviest person?"},{"varval":"Heaviest person $\\rightarrow$ Cade at 135 pounds.\n\n\r9 pounds lighter = 135 $-$ 9 = 126 pounds\r\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"The table shows the cost of 5 items.\n\n<div class=\"outline\">\n\n> > |Name |Bicycle|Phone|Bag|Shoes|Laptop|\n> > |:-:|:-:|:-:|:-:|:-:|:-:|\n|Price|$597|$522|$468|$471|$556|\n\n</div>\n\n<br>\nWhich item is $41 cheaper than the most expensive item?"},{"varval":"Most expensive $\\rightarrow$ Bicycle at $597.\n\n\\$41 cheaper = 597 $-$ 41 = $556 \n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"The table shows the ages of 5 grandparents.\n\n<div class=\"outline\">\n\n> > |Name |Linda|Barbara|William|James|Mary|\n> > |:-:|:-:|:-:|:-:|:-:|:-:|\n|Age|92|85|74|98|86|\n\n</div>\n\n<br>\nWho is 6 years younger than the oldest person?"},{"varval":"Oldest $\\rightarrow$ James at 98.\n\n6 years younger = 98 $-$ 6 = 92 \n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"The table shows the highest individual scores in cricket of 5 batsmen.\n\n<div class=\"outline\">\n\n> > |Name |Vivian|Ricky|Gary|Darryl|Alistair|\n> > |:-:|:-:|:-:|:-:|:-:|:-:|\n|Score|291|257|275|277|263|\n\n</div>\n\n<br>\nWho has a highest score of 14 runs less than the highest individual score of all 5 batsmen?"},{"varval":"Highest individual score $\\rightarrow$ Vivian at 291.\n\n14 runs less = 291 $-$ 14 = 277 \n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"The table shows the quokka population in a nature reserve over a 5-month period.\n\n<div class=\"outline\">\n\n> > |Month |May|June|July|August|September|\n> > |:-:|:-:|:-:|:-:|:-:|:-:|\n|Population|352|379|355|339|382|\n\n</div>\n\n<br>\nWhich month recorded a quokka population of 27 less than the highest population over the 5-month period?"},{"varval":"Highest population $\\rightarrow$ September at 382\n\n382 $-$ 27 = 355 \n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"The table shows the number of sea turtles tagged each month by a research group over a five month period.\n\n<div class=\"outline\">\n\n> > |Month |Aug|Sep|Oct|Nov|Dec|\n> > |:-:|:-:|:-:|:-:|:-:|:-:|\n|Turtles tagged|34|41|28|46|39|\n\n</div>\n\n<br>\nWhich month recorded the number of turtles tagged at 7 less than highest number tagged over the five months?"},{"varval":"Highest number tagged $\\rightarrow$ Nov at 46\n\n46 $-$ 7 = 39 \n\n$\\therefore$ {{{correctAnswer}}}"}]}]

Number and Algebra, Raph15-49 - 1292892b-eced-4b37-873c-8aa2903fab13 - (August 19, 2021)

Raph15-50 Raph15-51

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-49.svg 300 indent vpad\n\nWhat number is marked with X on this number line?"},{"varval":"Determine the number pattern\n\n60 – 30 = 30\r\n\n$\\rightarrow$ Numbers increase by 30\r\n\r\nMissing number = 90 + 30 = {{{correctAnswer}}}\r"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-51.svg 280 indent vpad\n\nWhat number is marked with X on this number line?"},{"varval":"Determine the number pattern\n\n30 – 15 = 15\r\n\n$\\rightarrow$ Numbers increase by 15\r\n\r\n\nMissing number = 45 + 15 = {{{correctAnswer}}}\r"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-50.svg 290 indent vpad\n\nWhat number is marked with X on this number line?"},{"varval":"Determine the number pattern\n\n40 – 20 = 20\n\n\r\n$\\rightarrow$ Numbers increase by 20\r\n\r\n\nMissing number = 60 + 20 = {{{correctAnswer}}}\r"}]}]

Geometry, Raph15-46 - 594f6a8c-3371-4bc1-82b3-54217d8b3793 - (August 19, 2021)

Raph15-47 Raph15-48

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Amanda is looking at some books in the direction shown by the arrow.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-46.svg 340 indent1 vpad\n\n<br>What does she see?"},{"varval":"Looking from the direction of the arrow, 3 books have the same height.\n\n\r\nThe shortest book is 2nd from the left.\n\n<br>\n\r\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Jalepeno is looking at some boxes in the direction shown by the arrow.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-47.svg 340 indent vpad\n\nWhat does he see?"},{"varval":"Looking from the direction of the arrow, 2 boxes in the centre are the shortest and of the same height.\n\n\r\nThe 2 outer boxes are the tallest and also of the same height.\n\n<br>\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Hamed is looking at some boxes in the direction shown by the arrow.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-48.svg 340 indent vpad\n\nWhat does he see?"},{"varval":"Looking from the direction of the arrow, the 2 two boxes on the left are smallest and of the same height.\n\n<br>\n\r\n{{{correctAnswer}}}"}]}]

Number and Algebra, Raph15-43 - e0df8c92-47fb-452d-a7d5-7b6f7b1a7fdd - (August 19, 2021)

Raph15-44 Raph15-45

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Mara cut some whole oranges into quarters.\r\n\nAll the quarters are shown below.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-43-rev.png 340 indent3 vpad\n\n<br>How many whole oranges did Mara cut?"},{"varval":"sm_nogap There are 16 quarters.\r\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Whole oranges|= 16 $\\div$ 4|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Tina cut some whole pizzas into thirds.\n\nAll the slices are shown below.\n\n<br>\n\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-44.png 440 indent3 vpad\n\n<br>How many whole pizzas did Tina cut?"},{"varval":"sm_nogap There are 9 thirds.\r\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Whole pizzas|= 9 $\\div$ 3|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Malika cut some whole lemons in half.\n\n\r\nAll the halves are shown below.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-45.png 440 indent vpad\n\n<br>How many whole lemons did Malika cut?"},{"varval":"sm_nogap There are 10 halves.\r\n\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|Whole lemons|= 10 $\\div$ 2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]}]

NAPX-G2-39 SA - fdc278fa-bd5f-475e-b537-f8e9042ee8e9 - (August 19, 2021)

<div class="sm_mode"> Emma and Tulip both competed in the shot put at their school's athletics carnival. Emma's best throw was 7.34 metres. Tulip's best throw was 6.56 metres. What was the difference, in centimetres, between their best throws? </div>

[{"vars":null}]

Measurement, Raph15-40 - bb2a0166-f5fb-482f-8dd6-8dd6f0fd0c67 - (August 18, 2021)

Raph15-41 Raph15-42 SJ v3 - v5

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Aaron is using crayons to measure this piece of cardboard.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-40.svg 440 indent3 vpad\n\n<br>What is the total length of all four sides?"},{"varval":"Length = 6 crayons\n\nWidth = 4 crayons\n\n<div class=\"aligned\">\n\n\n| | |\n|-:|-|\n|Total length|= 6 + 4 + 6 + 4|\n| | = {{{correctAnswer}}}|\n\n\r\n</div>"}]},{"vars":[{"varval":"Helga is using spoons to measure a table.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-41.svg 440 indent3 vpad\n\n<br>What is the total length of all four sides?"},{"varval":"Length = 8 spoons\n\nWidth = 5 spoons\n\n<div class=\"aligned\">\n\n| | |\n|-:|-|\n|Total length|= 8 + 5 + 8 + 5|\n| |= {{{correctAnswer}}} |\n\n\r\n</div>"}]},{"vars":[{"varval":"Tray is using erasers to measure this paper.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-42.svg 440 indent3 vpad\n\n<br>What is the total length of all four sides?"},{"varval":"Length = 4 erasers\n\nWidth = 3 erasers\n\n<div class=\"aligned\">\n\n\n| | |\n|-:|-|\n|Total length|= 4 + 3 + 4 + 3|\n| |= {{{correctAnswer}}} |\r\n\n</div>"}]},{"vars":[{"varval":"Donovan is using crayons to measure this equilateral triangle.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/triangle-equilateral-crayon-min.svg 250 indent3 vpad\n\n<br>What is the total length of all three sides?"},{"varval":"Side length = 2 crayons\n\n<div class=\"aligned\">\n\n\n| | |\n|-:|-|\n|Total length|= 2 + 2 + 2|\n| |= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Christian is using crayons to measure this equilateral triangle.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/triangle-equilateral-crayon-3.svg 250 indent3 vpad\n\n<br>What is the total length of all three sides?"},{"varval":"Side length = 3 crayons\n\n<div class=\"aligned\">\n\n\n| | |\n|-:|-|\n|Total length|= 3 + 3 + 3|\n| |= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Betty is using crayons to measure this square.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/square-crayon-4-min.svg 200 indent3 vpad\n\n<br>What is the total length of all four sides?"},{"varval":"Side length = 4 crayons\n\n<div class=\"aligned\">\n\n\n| | |\n|-:|-|\n|Total length|= 4 + 4 + 4 + 4|\n| |= {{{correctAnswer}}} |\n\n</div>"}]}]

Number and Algebra, Raph15-37 - 37d4babc-66ea-4936-aee6-9c8caaa3fcd4 - (August 18, 2021)

Raph15-38 Raph15-39

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Gary needs to buy 23 apples to make pies.\n\n\rThe apples are sold in packets of 8.\n\n\rHow many packets does he need to buy?\r"},{"varval":"sm_nogap Number of packets:\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|23 $\\div$ 8|= 2 remainder 7|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>\n"}]},{"vars":[{"varval":"Martin needs to buy 27 hotdogs for a camping trip.\n\nThe hotdogs are sold in packets of 7.\n\nHow many packets does he need to buy?\r"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|27 $\\div$ 7|= 3 remainder 6|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]},{"vars":[{"varval":"Sheila needs to buy 19 flowers.\n\nThe flowers are sold in bouquets of 6.\n\nHow many bouquets does she need to buy?\r"},{"varval":"sm_nogap Number of bouquets needed\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|19 $\\div$ 6|= 3 remainder 1|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]},{"vars":[{"varval":"Cassandra is buying 23 toffee apples for a party.\n\nThey are sold in bags of 5.\n\nHow many bags does she need to buy?\r"},{"varval":"sm_nogap Number of bags needed\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|23 $\\div$ 5|= 4 remainder 3|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]},{"vars":[{"varval":"Blart is buying 37 donuts for his office morning tea.\n\nThey are sold in bags of 5.\n\nHow many bags does he need to buy?\r"},{"varval":"sm_nogap Number of bags needed\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n| 37 $\\div$ 5|= 7 remainder 2|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]},{"vars":[{"varval":"Delilah is buying 33 crystals for her shop.\n\nThey are sold in boxes of 4.\n\nHow many boxes does she need to buy?\r"},{"varval":"sm_nogap Number of boxes needed\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n| 33 $\\div$ 4|= 8 remainder 1|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]},{"vars":[{"varval":"Alma is buying 44 cards from the newsagent.\n\nThey are sold in packets of 3.\n\nHow many packets does she need to buy?\r"},{"varval":"sm_nogap Number of packets needed\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n| 44 $\\div$ 3|= 14 remainder 2|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]},{"vars":[{"varval":"Cassie needs to buy 14 pencils for her class.\n\nThe pencils are sold in packets of 3.\n\nHow many packets does she need to buy?\r"},{"varval":"sm_nogap Number of packets\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|14 $\\div$ 3|= 4 remainder 2|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]},{"vars":[{"varval":"Arthur needed to buy 14 eggs from the market.\n\nThe eggs are sold in cartons of 6 eggs.\n\nHow many cartons does Arthur need to buy?\r"},{"varval":"sm_nogap Number of cartons\n\n<div class=\"aligned\">\n\n>|||\n|-:|-|\n|14 $\\div$ 6|= 2 remainder 2|\n| |= {{{correctAnswer}}} (round up)|\n\n</div>"}]}]

Math Job 15 34 - 55ab5558-7303-4eac-9d21-58d840045b4d - (August 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 22 + <span class=\"sm_box\"> ` ` ` ` </span> |= 48|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 48 $-$ 22|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 28 + <span class=\"sm_box\"> ` ` ` ` </span> |= 67|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 67 $-$ 28|\n||= {{{correctAnswer0}}}|\n\n</div> "}]},{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 34 + <span class=\"sm_box\"> ` ` ` ` </span> |= 53|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 53 $-$ 34 |\n||= {{{correctAnswer0}}}|\n\n</div> "}]},{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 25 + <span class=\"sm_box\"> ` ` ` ` </span> |= 49|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 49 $-$ 25 |\n||= {{{correctAnswer0}}}|\n\n</div> "}]},{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 13 + <span class=\"sm_box\"> ` ` ` ` </span> |= 36|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 36 $-$ 13 |\n||= {{{correctAnswer0}}}|\n\n</div> "}]},{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 22 + <span class=\"sm_box\"> ` ` ` ` </span> |= 79|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 79 $-$ 22 |\n||= {{{correctAnswer0}}}|\n\n</div> "}]},{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 17 + <span class=\"sm_box\"> ` ` ` ` </span> |= 95|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 95 $-$ 17 |\n||= {{{correctAnswer0}}}|\n\n</div> "}]},{"vars":[{"varval":"Fill in the box to make this number sentence correct."},{"varval":"<div class=\"aligned\">\n\n| | |\n|-:|-|\n| 28 + <span class=\"sm_box\"> ` ` ` ` </span> |= 93|\n| | |\n| | |\n|<span class=\"sm_box\"> ` ` ` ` </span> |= 93 $-$ 28 |\n||= {{{correctAnswer0}}}|\n\n</div> "}]}]

Math Job 15 33 - 492357cb-f67d-4c33-ac47-0cc4c831d5f3 - (August 18, 2021)

Was same question as Geometry, Raph15-31 so have changed image in v0

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Matt has started to make a model of a triangular pyramid using toothpicks and clay.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/Tripyramid-min.svg 200 indent vpad\n\nHow many more toothpicks does Matt need to finish the model?\n"},{"varval":"A triangular pyramid has 6 edges.\n\r\nTherefore, Matt needs {{{correctAnswer}}} more toothpick.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/Tripyramid_ws-min.svg 150 indent vpad"}]},{"vars":[{"varval":"Navi has started to make a model of a triangular prism using toothpicks and putty.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/tri-prism-min.svg 260 indent vpad\n\nHow many more toothpicks does Navi need to finish the model?"},{"varval":"A triangular prism has 9 edges.\n\nTherefore, Navi needs {{{correctAnswer}}} more toothpicks.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/tri-prism_ws-min.svg 230 indent vpad"}]},{"vars":[{"varval":"Aiesha has started to make a model of a rectangular prism using toothpicks and clay.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/rect-prism-min.svg 200 indent vpad\n\nHow many more toothpicks does Aiesha need to finish the model?"},{"varval":"A rectangular prism has 12 edges.\n\nTherefore, Aiesha needs {{{correctAnswer}}} more toothpicks.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/rect-prism_ws-min.svg 160 indent vpad"}]},{"vars":[{"varval":"Antony has started to make a model of a rectangular pyramid using toothpicks and clay.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/rect-pyr-min.svg 220 indent vpad\n\nHow many more toothpicks does Antony need to finish the model?\n"},{"varval":"A rectangular pyramid has 8 edges.\n\nTherefore, Antony needs {{{correctAnswer}}} more toothpicks.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/rect-pyr-ws-min.svg 180 indent vpad"}]}]

Geometry, Raph15-31 - 3c1bbe85-ea68-4716-90c9-c846e9d0e07b - (August 18, 2021)

Raph15-32 Raph15-33

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"John has started to make a model of a square pyramid using sticks and clay balls.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-31.svg 300 indent vpad\n\nHow many more sticks does John need to finish the model?"},{"varval":"A square pyramid has 8 edges.\r\n\nTherefore, John needs {{{correctAnswer}}} more sticks.\r"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nDonna has started to make a model of a rectangular prism using sticks and clay balls.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-32.svg 340 indent vpad\n\nHow many more sticks does Donna need to finish the model?\n\n</div>"},{"varval":"A rectangular prism has 12 edges.\n\nTherefore, Donna needs {{{correctAnswer}}} more sticks.\r"}]},{"vars":[{"varval":"Carl has started to make a model of a triangular pyramid using rods and clay balls.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-33.svg 340 indent vpad\n\nHow many more rods does Carl need to finish the model?"},{"varval":"A triangular pyramid has 6 edges.\n\n\r\nTherefore, Carl needs {{{correctAnswer}}} more rods.\r"}]}]

Geometry, Raph15-28 - 4c907f72-e2e5-4a02-bcab-67b65c486883 - (August 18, 2021)

RAPH15-28 RAPH15-29 RAPH15-30

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these will look most like a cube when closed?"},{"varval":"A cube has 6 square faces.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these will look most like a sphere when closed?"},{"varval":"A sphere has the shape of a ball.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these will look most like a cone when closed?"},{"varval":"{{{correctAnswer}}}"}]}]

Number and Algebra, Raph15-22 - ac8b4d07-acb6-4140-8055-61b9cf8b23c4 - (August 17, 2021)

Raph15-22 Raph15-23 Raph15-24

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which phone is the most expensive?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-22.png 380 indent3 vpad"},{"varval":"The highest price = $541\n\n$\\rightarrow$ Phone {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which pack of cookies has the lowest calories?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-23.png 350 indent3 vpad"},{"varval":"The lowest calories of any pack = 789\n\n$\\rightarrow$ Packet {{{correctAnswer}}} "}]},{"vars":[{"varval":"Which car travelled the longest distance?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/10/Math-Job-15-24.png 420 indent3 vpad"},{"varval":"The longest distance travelled was 321 km.\n\n$\\rightarrow$ Car {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which desktop monitor is the most expensive?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/Number-_Raph-15-20-min.svg 420 indent2 vpad"},{"varval":"The highest price = $342\n\n$\\rightarrow$ Desktop monitor {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which mountain bike is the least expensive?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/bikes_v4_2-min.svg 500 indent vpad"},{"varval":"The lowest price = $748\n\n$\\rightarrow$ Mountain bike {{{correctAnswer}}}\n"}]}]

Number and Algebra, Raph15-19 - d93e2f42-4f83-494e-be14-c29dd8313829 - (August 16, 2021)

Raph15-19 Raph15-20 Raph15-21

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Lisa and Andy both worked in part time jobs. \n\nLisa earned $36 while Andy earned $37.\n\nHow much, in dollars, did they earn altogether?\r"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 36 + 37| = 30 + 6 + 30 + 7|\n|| = 60 + 6 + 7|\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Ramon is making a cabinet. \n\nHe bought 35 nails and 46 screws.\n\nHow many nails and screws did he buy altogether?\r"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 35 + 46| = 30 + 5 + 40 + 6|\n|| = 70 + 5 + 6|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A restaurant owner purchased 29 lettuces and 45 eggplants from the market.\n\nHow many vegetables did he purchase in total?\r"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 29 + 45| = 20 + 9 + 40 + 5|\n|| = 60 + 9 + 5|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A bull catcher caught 127 bulls in the first week of a job and 86 in the second week.\n\nIn total, how many bulls did he catch?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 127 + 86| = 100 + 20 + 7 + 80 + 6|\n|| = 100 + 100 + 7 + 6|\n|| = 200 + 13|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Leisa collected 128 football cards in April and 175 more cards in May.\n\nIn total, how many football cards did Leisa collect in April and May?"},{"varval":"sm_nogap One strategy:\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 128 + 175| = 100 + 20 + 8 + 100 + 70 + 5|\n|| = 200 + 90 + 8 + 5|\n|| = 290 + 13|\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Statistics, Raph15-18 - dc1bd39b-7ac6-43f2-bbff-f3a62e4162a7 - (August 16, 2021)

Raph15-17 Raph15-18 SJ Corrected setup so workedSolution variable added as more than one variant.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Dennis has 18 pieces of fruit.\n\n10 are apples and 8 are oranges.\n\n\r\nWhich of these correctly shows the number of each fruit?\r"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Emile has 22 students.\n\n10 are boys and 12 are girls.\n\nWhich of these correctly shows this tally?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Jody runs a pet sanctuary and has 32 pets.\n\n13 are cats and 19 are dogs.\n\nWhich of these correctly shows this tally?"},{"varval":"{{{correctAnswer}}}"}]}]

Number, Raph15-13 - cbec8675-9f0b-489d-aabb-48966f2a26ee - (August 16, 2021)

Raph15-13 Raph15-14

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Alfred has some boxes of crayons and 6 extra crayons.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Raph15-14.png 580 indent2 vpad\r\n\n\n<br>How many crayons does Alfred have in total?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Total number of crayons|= (12 $\\times$ 3) + 6 |\n| |= 36 + 6 |\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"James buys a number of boxes of cupcakes and 4 extra cupcakes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Raph15-13.png 540 indent vpad\r\n\n<br>How many cupcakes does James have in total?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Total number of cupcakes|= (5 $\\times$ 8) + 4 |\n| |= 40 + 4 |\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Pollo collects eggs from his hen house.\n\nOne morning, he collected enough eggs to fill 3 cartons and with 9 eggs left over.\n\nIf each carton holds 12 eggs, how many eggs has Pollo collected in total."},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|:|\n| Total number of eggs | \\= (3 $\\times$ 12) + 9 |\n| | \\= 36 + 9 |\n| | \\= {{{correctAnswer}}} |\n\n\n</div>"}]},{"vars":[{"varval":"Steve was packing apples in boxes that he would sell at the market.\n\nHe packed 12 boxes and had an extra 5 apples left over that he would sell individually.\n\nIf each box contained 9 apples, how many apples were there in total?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ----------------------- | ---------------------- |\n| Total number of apples | \\= (12 $\\times$ 9) + 5 |\n| | \\= 108 + 5 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Johan has some boxes each containing some donuts and 5 extra donuts.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/donuts-boxes-8-min.svg 400 indent2 vpad\n\n\n<br>How many donuts does Johan have in total?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Total number of donuts|= (8 $\\times$ 3) + 5 |\n| |= 24 + 5 |\n| |= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Briony has some boxes of pencils and 12 extra pencils.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/box-5-pencils12A-min.svg 450 indent2 vpad\n\n\n<br>How many pencils does Briony have in total?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -:|-|\n|Total number of pencils|= (5 $\\times$ 15) + 12 |\n| |= 75 + 12 |\n| |= {{{correctAnswer}}}|\n\n</div>"}]}]

Number, Raph15-10 - 4fdf71a7-8d85-4cef-a72b-dbe5364f4f41 - (August 13, 2021)

Raph15-10 Raph15-11 Raph15-12

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Angus is counting down by twos.\n\r\n28, 26, 24, 22, <span class=\"sm-text color2\">?</span>\n\r\nWhich number comes next?\r"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm-text color2\">?</span>|= last number $-$ 2|\n||= 22 $-$ 2|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Wendy is counting down by twos.\n\n\r\n47, 45, 43, 41, <span class=\"sm-text color3\">?</span>\n\n\r\nWhich number comes next?\r"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm-text color3\">?</span>|= last number $-$ 2|\n||= 41 $-$ 2|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Almira is counting down by ones.\n\n74, 73, 72, 71, 70, <span class=\"sm-text color3\">?</span>\n\nWhich number comes next?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm-text color3\">?</span>|= last number $-$ 1|\n||= 70 $-$ 1|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Callum is counting down by fours.\n\n43, 39, 35, 31, <span class=\"sm-text color3\">?</span>\n\nWhat is the next number in this pattern?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm-text color3\">?</span>|= last number $-$ 4|\n||= 31 $-$ 4|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Albert wrote down a number pattern.\n\n25, 29, 33, 37, <span class=\"sm-text color2\">?</span>\n\nWhat is the next number in the pattern?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm-text color2\">?</span>|= last number + 4|\n||= 37 + 4|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Jevin writes down a number pattern.\n\n15, 22, 29, 36, <span class=\"sm-text color2\">?</span>\n\nWhat is the next number in Jevin's pattern?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm-text color2\">?</span>|= last number + 7|\n||= 36 + 7|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Clinton writes down a number pattern.\n\n63, 55, 47, <span class=\"sm-text color4\">?</span>\n\nWhat number should Clinton write next?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm-text color4\">?</span>|= last number $-$ 8|\n||= 47 $-$ 8|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Jerome created a number pattern by adding four to a number to get the next number.\n\nWhich of these could be the first four numbers in Jerome's pattern?"},{"varval":"17 + 4 = 21\n\n21 + 4 = 25\n\n25 + 4 = 29\n\n$\\therefore$ Jerome's pattern is: 17, 21, 25, 29"}]},{"vars":[{"varval":"Chapelle created a number pattern by adding six to a number to get the next number.\n\nWhich of these could be the first four numbers in Chapelle's pattern?"},{"varval":"15 + 6 = 21\n\n21 + 6 = 27\n\n27 + 6 = 33\n\n$\\therefore$ Chapelle's pattern is: 15, 21, 27, 33"}]},{"vars":[{"varval":"Leonardo wrote down the following number pattern?\n\n4, 5, 7, 10, <span class=\"sm-text color2\">?</span>\n\nWhat number should Leonardo write down next? "},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|2nd number|= 4 + 1 = 5|\n|3rd number|= 5 + 2 = 7|\n|4th number|= 7 + 3 = 10 |\n|<span class=\"sm-text color2\">?</span>| = 10 + 4 = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Bonacci is writing down a number pattern.\n\n>17, 15, 12, 8, <span class=\"sm-text color2\">?</span>\n\n<br>\n\nWhat number should Bonacci write down next?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|2nd number|= 17 $-$ 2 = 15|\n|3rd number|= 15 $-$ 3 = 12|\n|4th number|= 12 $-$ 4 = 8 |\n|<span class=\"sm-text color2\">?</span>| = 8 $-$ 5 = {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Isaac creates a number pattern.\n\n4, 7, 12, 19, <span class=\"sm-text color3\">?</span>\n\nWhat number should Isaac write down next?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|2nd number|= 4 + 3 = 7|\n|3rd number|= 7 + 5 = 12|\n|4th number|= 12 + 7 = 19 |\n| <span class=\"sm-text color3\">?</span>| = 19 + 9 = {{{correctAnswer}}}|\n\n</div>"}]}]

Geometry, NAP_12001 - 28540a32-9d0c-42df-8c3a-ab72da76db1f - (August 13, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This is a map of a zoo.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-9.svg 320 indent vpad\n\nWhich enclosure is furthest away from the entrance?\n"},{"varval":"By looking at the path inside the zoo, the zebra's enclosure {{{correctAnswer}}} is the furthest from the entrance."}]}]

Geometry, Math Job 15 8 - b00336ba-4031-4699-81c4-05a44a57486c - (August 13, 2021)

Needs difficulty

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This is a map of a playground.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-8.svg 280 indent vpad\n\nWhich equipment is furthest away from the ice cream store?"},{"varval":"The slide, {{{correctAnswer}}}, is on the other side of the playground opposite to the ice cream store and is therefore, furthest from the ice cream store."}]}]

Geometry, Math Job 15 7 - a2b7f036-736e-4367-a0f2-76535cea2849 - (August 13, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This is a map of a village.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-7.svg 280 indent vpad\n\nWhich of these houses is furthest away from the market?"},{"varval":"Houses {{{correctAnswer}}} and D are further away from the market than houses B and C.\n\n\r\nBetween house {{{correctAnswer}}} and house D, house {{{correctAnswer}}} is further because it has a bigger horizontal distance from the market.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-7-Ans.svg 280 indent vpad\n"}]}]

Raph 15-4 - f7b7c148-bcb6-4bf8-8c9f-b6af5ac45c77 - (August 12, 2021)

RAPH 15-4 RAPH 15-5

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Four horses are walking up a hill.\n\r\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/horse-4-min.svg 300 indent2 vpad\n\n<br>Which horse is second from the bottom?\r"},{"varval":"Bottom = Horse D\n\n2nd from the bottom = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Four cars are travelling down the hill.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-5.svg 300 indent2 vpad\n\n<br>Which one is second from the top?\n\r"},{"varval":"Top = Vehicle A\n\n2nd from top = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Four vehicles are travelling down the hill.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/carx4-hill-min.svg 300 indent2 vpad\n\n<br>Which one is second from the bottom?\n\n"},{"varval":"Bottom = Vehicle D\n\n2nd from bottom = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Four friends are standing in a line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/kids-4-min.svg 250 indent2 vpad\n\n<br>Which one is second from the left?\n\n"},{"varval":"Furthest left = Friend A\n\n2nd left = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Four dogs are standing in a line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/dog-4a-min.svg 300 indent vpad\n\n<br>Which one is second from the right?\n\n"},{"varval":"Furthest right = Dog D\n\n2nd right = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Four farm animals are standing in a line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/animals-4b-min.svg 350 indent2 vpad\n\n<br>Which one is second from the left?"},{"varval":"Furthest left = Animal A\n\n2nd left = {{{correctAnswer}}}"}]}]

Math Job 15 2 - 7c2d9ea0-a354-4b33-a79d-bc66428e783d - (August 12, 2021)

SJ: I changed these images for v1 and v2 as the others uploaded really slowly in the online tests.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which building is the shortest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/buildings-4v0-min.svg 300 indent vpad\n"},{"varval":"Shortest = Lowest\n\n\r\nTherefore, building {{{correctAnswer}}} is the shortest.\r"}]},{"vars":[{"varval":"Which of the children is the tallest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/children-4-min.svg 300 indent vpad"},{"varval":"Tallest = Highest\n\nTherefore, child {{{correctAnswer}}} is the tallest.\r"}]},{"vars":[{"varval":"Which building is the tallest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/buildings-4v0-min.svg 300 indent vpad\n"},{"varval":"Tallest = Highest\n\nTherefore, building {{{correctAnswer}}} is the tallest.\n"}]},{"vars":[{"varval":"Which of the children is the shortest?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/children-4-min.svg 300 indent vpad"},{"varval":"Shortest = Lowest\n\nTherefore, child {{{correctAnswer}}} is the shortest.\n"}]},{"vars":[{"varval":"Which plane is flying the furthest from the ground?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/aeroplane-2-abcd-min.svg 300 indent vpad"},{"varval":"Furthest from the ground = Highest\n\nTherefore, plane {{{correctAnswer}}} is the furthest from the ground.\n"}]},{"vars":[{"varval":"Which plane is flying the closest to the ground?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/aeroplane-2-abcd-min.svg 300 indent vpad"},{"varval":"Closest to the ground = Lowest\n\nTherefore, plane {{{correctAnswer}}} is closest to the ground."}]}]

Math Job 15 1 - 943f75ba-0ab4-4aec-8d2e-ca13f6469c01 - (August 12, 2021)

<div class="sm_mode"> Which tree is the tallest? sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Math-Job-15-1.svg 280 indent vpad </div>

[{"vars":null}]

Number, NAPX-p120695v01 - 596ae487-d50a-4600-90d0-62a820154457 - (August 12, 2021)

<div class="sm_mode"> Which decimal is equivalent to $\dfrac{3}{5}$? </div>

[{"vars":null}]

Number, NAPX-p123495v01 - a242a531-fc04-4aa0-9531-08c2a089b916 - (August 12, 2021)

Number, NAPX-J2-26

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A cupcake recipe contains $\\dfrac{3}{5}$ cup of flour.\n\n\r\n\r\nWhich of the following represents the same amount of flour?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{3}{5}$|= $\\dfrac{3 \\times 2}{5 \\times 2}$|\n||= $\\dfrac{6}{10}$|\n\n</div>"}]},{"vars":[{"varval":"A cupcake recipe contains $\\dfrac{3}{4}$ cup of sugar.\n\n\r\n\r\nWhich of the following represents the same amount of sugar?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{3}{4}$|= $\\dfrac{3 \\times 3}{4 \\times 3}$|\n||= $\\dfrac{9}{12}$|\n\n</div>"}]}]

Number, NAPX-p73018v02 - f7553545-0a5c-4b50-9383-d0450af9db3a - (August 12, 2021)

Number, NAPX-p73018v01 Number, NAPX-I2-27

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jonah, Murray, and Colin shared a box full of kiwi fruit.\n\n\r\n\r\nJonah and Murray took $\\dfrac{4}{11}$ of the box of kiwi fruits each.\n\n\r\n\r\nWhat fraction was left for Colin?"},{"varval":"sm_nogap Fraction that Jonah and Murray took\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{4}{11} + \\dfrac{4}{11}$|\n|= $\\dfrac{8}{11}$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Fraction left for Colin\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $1 - \\dfrac{8}{11}$|\n|= $\\dfrac{3}{11}$|\n\n</div>"}]},{"vars":[{"varval":"Karl, Mary and Lily shared a whole pizza.\n\nMary and Lily ate $\\dfrac{2}{5}$ of the whole pizza each.\n\nWhat fraction of the pizza was left for Karl?"},{"varval":"sm_nogap Fraction that Mary and Lily ate\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{2}{5} + \\dfrac{2}{5}$|\n|= $\\dfrac{4}{5}$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Fraction left for Karl\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $1 - \\dfrac{4}{5}$|\n|= $\\dfrac{1}{5}$|\n\n</div>\n\n\r\n\n"}]},{"vars":[{"varval":"Curly, Larry and Moe share a bag of strawberries.\n\n\r\n\r\nCurly and Larry get $\\dfrac{1}{8}$ of the strawberries each.\n\n\r\n\r\nWhat fraction of the bag of strawberries does Moe get?"},{"varval":"sm_nogap Fraction that Curly and Larry receive\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{8} + \\dfrac{1}{8}$|\n|= $\\dfrac{2}{8}$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Fraction left for Moe\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $1 - \\dfrac{2}{8}$|\n|= $\\dfrac{6}{8}$|\n\n</div>\n\n\r\n\n"}]}]

Number, NAPX-p73124v02 - e731672f-120a-47e9-919c-f1f67c9f8c32 - (August 12, 2021)

Number, NAPX-p73124v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Julian was driving into town and hit a kangaroo $\\dfrac{3}{4}$ of a kilometre into his trip.\n\n\r\n\r\nWhich of these represent where Julian hit the kangaroo?"},{"varval":"Each spacing is worth $\\dfrac{1}{4}$ km.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Number-NAPX-p73124v02-iv.png 240 indent vpad\r\n"}]},{"vars":[{"varval":"Axe went jogging and stopped after $\\dfrac{2}{6}$ of a kilometre to take a rest.\n\n\r\n\r\nWhich of these represents where Axe stopped jogging?"},{"varval":"Each spacing is worth $\\dfrac{1}{6}$ km.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-29-1-1.png 240 indent vpad\r"}]}]

Number, NAPX-p123318v01 - 56dbb6b4-631f-4378-a4ef-b838574f4913 - (August 12, 2021)

Number, NAPX-J2-25

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Stu is weighing different types of balls used in his favourite sports.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-25-v2_2-768x393.png 380 indent vpad\n\n\r\n<br>Stu knows that a cricket ball weighs more than a baseball but less than a soccer ball.\n\n\r\n\r\nWhich of these could be the weight of a cricket ball?"},{"varval":"0.36 kg is greater than 0.15 kg and less\r than 0.4 kg"}]},{"vars":[{"varval":"Oscar, Khan and Paul are weighing their grapes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-25-v1-768x357.png 460 indent vpad\r\n\n<br>Khan's grapes weigh more than Paul's, but less than Oscar's grapes.\n\n\r\n\r\nWhich of these could be the weight of Khan's grapes?"},{"varval":"0.4 kg \n\n\r\nSince 0.25 < 0.4 < 0.6"}]}]

RAPH14 Q10-12 - 7ead2261-c1d0-4c3f-9bad-58fa76ef0dd2 - (August 11, 2021)

Raph14-10 Raph14-11 Raph14-12 Redid the graphs. Changed "table" to "graph" in var0 and var2 question. Used Police Officer instead of Policeman and changed Businessman to Carpenter in var2.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Students are asked what is their favourite colour.\n\nThe results are recorded in the graph\nbelow.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Raph-14-Q10-12_v0.svg 500 indent vpad\n\n<br>Which statement is true?"},{"varval":"The bar representing the colour orange is the smallest.\n\nTherefore, orange is the favourite colour of the smallest number of students."}]},{"vars":[{"varval":"The graph below shows the amount of vegetables, by weight in kilograms, that were harvested at a farm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Raph-14-Q10-12_v1.svg 500 indent vpad\n\n<br>Which statement is true?"},{"varval":"The bar representing potatoes is the tallest. \n\nTherefore, more potatoes were picked than any other vegetable."}]},{"vars":[{"varval":"Students were asked what they wanted to be when they grew up.\n\nTheir answers are recorded in the graph below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Raph-14-Q10-12_v2.svg 500 indent vpad\n\n<br>Which statement is true?"},{"varval":"The bar representing nurse is the taller than police officer.\n\nTherefore, more students want to be a nurse than a police officer. "}]}]

Number, NAPX-p116764v04 - ca6ded96-4c08-4202-b4c5-c3b7d14c6cbe - (August 11, 2021)

Number, NAPX-p116764v02 Number, NAPX-p116764v03 Number, NAPX-p116764v01 Number, NAPX-I2-19

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Pringle has 55 twenty-cent coins in his money pouch.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q38-300x283.png 240 indent vpad\n\nHow much money does Pringle have?"},{"varval":"5 twenty-cent coins = $1.00\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ 55 twenty-cent coins\t |= 11 × $1.00|\n||= $11.00|\n\n</div>"}]},{"vars":[{"varval":"Peach had 8 fifty-cent coins and 15 twenty-cent coins in her purse.\n\n\r\n\r\nHow much money did she have in total?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total|= 8 × 50¢ + 15 × 20¢|\n||= $4 + $3|\n||= $7|\n\n</div>\n"}]},{"vars":[{"varval":"Sheena has 26 twenty-cent coins in her piggy bank.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q37.png 200 indent vpad\n\nHow much money does Sheena have?"},{"varval":"5 twenty-cent coins = $1.00\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ 26 twenty-cent coins\t |= 5 × $1.00 + 20 cents\t|\n||= $5.20|\n\n</div>\n"}]},{"vars":[{"varval":"Richie had 45 twenty cent coins in his pocket.\n\n\r\n\r\n\r\n\r\nHow much money did he have in total?"},{"varval":"Since 5 × 20¢ = $1\n\n\r\n<div class=\"aligned\">\n\n|||\n|-|-|\n|45 × 20¢|= 9 × $1|\n||= $9|\n\n</div>"}]},{"vars":[{"varval":"Cassius had 25 twenty-cent coins in his pocket.\n\n\r\n\r\nHow much money did he have in total?"},{"varval":"Since 5 × 20¢ = $1,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|25 × 20¢|= 5 × $1|\n||= $5|\n\n</div>"}]}]

Number, NAPX-p123173v02 - b36edfb0-6552-4be0-9267-2649794c1c56 - (August 11, 2021)

Number, NAPX-p123173v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Gordon buys $\\dfrac{1}{5}$ of a kilogram of grapes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-20-v3-300x204.png 160 indent vpad\n\n<br>Which is another way to write $\\dfrac{1}{5}$ of a kilogram?"},{"varval":"$\\dfrac{1}{5}$ kilogram = 0.2 kilogram"}]},{"vars":[{"varval":"Carrie purchases $\\dfrac{7}{10}$ of a kilogram of gold.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-gold_rev.svg 145 indent vpad\n\nWhich is another way to write $\\dfrac{7}{10}$ of a kilogram?"},{"varval":"$\\dfrac{7}{10}$ kilogram = 0.7 kilogram"}]}]

Number, NAPX-p116838v04 - 4f51ef0f-a9e5-47e4-acc0-0c513f57bb35 - (August 11, 2021)

Number, NAPX-p116838v03 Number, NAPX-p116838v02 Number, NAPX-I2-16

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In a bakery Michelle bought one slice of cake, one donut and a croissant.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/raph8-q32.svg 400 indent vpad\n\n<br>She gave the cashier $10.00.\n\n\r\n\r\nHow much change should Michelle receive?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total cost|= 1.35 + 1.20 + 0.75|\n||= $3.30|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Change|= 10 $-$ 3.3|\n||= $6.70|\n\n</div>\n"}]},{"vars":[{"varval":"Alexander went shopping and bought the following items.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q31-768x469.png 400 indent vpad\n\n<br>He gave the cashier $50.\n\n\r\n\r\nHow much change should Alexander receive?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total cost|= 9.50 + 12.10 + 11.40|\n||= $33.00|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Change|= 50 $-$ 33.00|\n||= $17.00|\n\n</div>\n"}]},{"vars":[{"varval":"Marvin buys the following items.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-16-v3.svg 400 indent vpad\n\n<br>He gives the shop owner $40.\n\n\r\n\r\nHow much change should she get?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total cost|= $6.20 + $7.30 + $21.50|\n||= $35|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Change|= 40 $-$ 35|\n||= $5|\n\n</div>\n"}]},{"vars":[{"varval":"Cynthia buys the following items.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-16-v1.svg 400 indent vpad\n\n<br>Cynthia gives the shop owner $50.\n\n\r\n\r\nHow much change should she get?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total cost|= $4.40 + $5.20 + $31.40|\n||= $41|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Change|= 50 $-$ 41|\n||= $9|\n\n</div>\n"}]}]

Number, NAPX-I2-17 - 8a84a808-cf36-4c12-950b-046b1fc432e3 - (August 11, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sylvester painted squares white and grey on the grids pictured below.\n\n\r\n\r\nAll the squares in the grids are the same size.\n\n\r\n\r\nWhich grid has the largest area painted grey?"},{"varval":"The largest area painted grey is 16 squares.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Betty painted squares white and grey on the grids pictured below.\n\n\r\n\r\nAll the squares in the grids are the same size.\n\n\r\n\r\nWhich grid has the smallest area painted white?"},{"varval":"The smallest area painted white is 9 squares.\n\n{{{correctAnswer}}}\n"}]}]

Number, NAPX-J2-12 - fba4c21f-bf08-4ae1-ab46-77b24e5bbc19 - (August 11, 2021)

<div class="sm_mode"> Mischa has poured cordial into some measuring cups. She makes them all exactly one quarter full. Mischa counts by quarters to find out, in total, how many full cups of cordial she has. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-12-v1_1.svg 440 indent vpad Which number does Mischa count next? </div>

[{"vars":null}]

Number, NAPX-p116746v01 - 14fb3f67-9f3a-461a-8f1a-f88c706b7c4f - (August 11, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-07-v2_1.png 420 indent vpad\n\nWhich set of coins shows the **same** amount of money as the coins above?​"},{"varval":"\n\nCoins need to add up to:\n \n$1 + 50¢ + 20¢ + 5¢ = $1.75\n\n \n\nConsider the 2nd option:\n\n\nsm_nogap 50¢ + 10¢ + 10¢ + 50¢ + 50¢ + 5¢\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 175¢|\n|= $1.75|\n\n\n</div>\n\n<br>\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-07-v2b-768x141.png 420 indent vpad\n\nWhich set of coins shows the **same** amount of money as the coins above?​"},{"varval":"\n\nCoins need to add up to:\n \n50¢ + 10¢ + 10¢ + 50¢ + 50¢ + 5¢ = $1.75\n \n\nConsider the 1st option:\n\n\nsm_nogap $1 + 50¢ + 20¢ + 5¢ \n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 175¢|\n|= $1.75|\n\n\n</div>\n\n<br>\n\n{{{correctAnswer}}}"}]}]

Docs - Colored background bullet points with border - 9830b366-b4bd-47ed-b908-dc91aecf7849 - (August 11, 2021)

Note: For these special HTML backbround bullet points, you cannot use them inside an sm_mode div. <div style="background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 30px" > * It is **greater than 3000** but less than five hundred * First table with a color background * A third row </div> <br> <div style="background-color: lightcyan; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 30px" > * It is greater than 3000 but less than five hundred * First **table with a color** background * A third row </div>

[{"vars":null}]

Docs - Simple number sentence question - 46df76e3-e498-45f6-a410-cd3e9e2f6d00 - (August 11, 2021)

<div class="sm_mode"> Complete the number sentence </div>

[{"vars":null}]

Number, NAPX-K2-01 v1 - 85d7bb8e-4fbb-4294-abb5-a796bce668e2 - (August 11, 2021)

Number, NAPX-K2-01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these coins has the greatest value?"},{"varval":"The $2 coin has the greatest value.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/cropped-2aud.png 70 indent vpad"}]},{"vars":[{"varval":"Which of these coins has the greatest value?"},{"varval":"The $1 coin has the greatest value.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/nap-K2-01f.svg 90 indent vpad"}]},{"vars":[{"varval":"Which of these coins has the greatest value?"},{"varval":"The $2 coin has the greatest value.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/2aud.png 100 indent vpad"}]},{"vars":[{"varval":"Which of these coins has the least value?"},{"varval":"The 10 cent coin has the least value.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/10cau.png 120 indent vpad\n"}]},{"vars":[{"varval":"Which of these coins has the least value?"},{"varval":"The 20 coin has the least solution.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/11/nap-K2-01c.svg 110 indent vpad\n"}]}]

Number, NAPX-G2-32 - a9ccf6a8-e872-4d8f-900e-a868e706fbae - (August 10, 2021)

<div class="sm_mode"> Which of these has the same value as 6.37? </div>

[{"vars":[]}]

Number, NAPX-H2-28 SA - f4b7fb13-7d2f-442c-a42d-969b3d72b29c - (August 10, 2021)

<div class="sm_mode"> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-H2-28-v1_1.svg 340 indent vpad What number is the arrow pointing to on this number line? </div>

[{"vars":null}]

Docs - Special rules and formatting - 5035a551-f882-4edb-9344-1bbee1139c98 - (August 10, 2021)

<div class="sm_mode"> ### Special Rules/Restrictions for variables/answers and workarounds... The markdown we specify in variables and answers is stored in a format called yaml that has the following restrictions: * Colons are used to delimit fields, so if you have just numbers and colons, the system gets confused and you must backslash the colons. This probably only will occur with clock times as per the following: * 12:12 will fail since it is numbers and colons only, and should instead be 12:12 * 1:2:3 should be 1:2:3 * 12:12 pm is ok since it has a space then pm so the system knows its text. * Answer is 1:2:3 is ok also for the same reason. * There are reserved words in the yaml language that if we want them in variables/answers we have to treat in a certain way. * The reserved words are: * yes no on off true false y n * Just like with clock times above, a reserved word alone is a problem, but with other text it is no problem! For example: * Problem: * yes * true * But the following are no problem: * yes is the answer * it is in fact true * To encode a reserved word as a variable for example, do the following: 1. Instead of Yes, make the variable be <span>Yes</span> 2. Refer to {{{variable}}} with the three curly brackets not just the normal two - - - ### Force a space to be rendered This is a sentence where all spaces are collapsed (normal). This is a sentence with a forced extra space. - - - ### Red box ** NOTE: THIS IS NOW OLD/DEPRECATED as at 2021-08-10 ** No spaces: <span class="sm_box"></span> One space inside: <span class="sm_box"> ` ` </span> Two spaces inside: <span class="sm_box"> ` ` ` ` </span> </div>

[{"vars":null}]

Docs - Katex - dcc20f09-e59d-40f4-bd0e-2801ef99d5c1 - (August 10, 2021)

<div class="sm_mode"> ## Docs - Katex ### Dollar sign within katex/latex $$\text{\textdollar 9000 here is the dollar sign}$$ or even easier is to specify a backslash before the dollar sign either inside or outside the katex: $$\$9\alpha$$ ### Percentage Sign To use percentage sign, use a backslash. $$\%$$ ### When bold text is not working Make sure to put proper break tag, for example: Grant joined the two objects below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/12/nap-b4-nc09.svg 160 indent3 vpad <br> Which object below could **not** be made using Grant's 2 objects? - - - ### Force katex font (1em size) Force the use of katex fonts and over-ride the SmarterMaths default of using the system font. This is required in rare cases where a katex symbol/instruction is not rendering appropriately (due to issues in using the system font for rendering that particular instruction.) You can use the class="sm_katex-font" inside any div or span tag to force the katex-font. For example: * Using system font: $$\ne 123 2^2 \alpha$$. Notice the not equals symbol does not render correctly. * Forcing the katex font: <span class="sm_katex-font">$$\ne \angle$$</span>$$123 2^2 \alpha$$. Notice the not equals symbol now renders correctly. And the remaining katex is specified *outside* of the span so it continues to match/use the system font. </div>

[{"vars":null}]

Docs - Tables - c51bddd0-81f9-45bd-8ac1-f9ada07da212 - (August 10, 2021)

<div class="sm_mode"> ### Table Please see [GitHub flavoured markdown](https://github.github.com/gfm/#tables-extension-) for further details such as using the colon to right/left align the cell contents. Table Notes: 1. SmarterMaths indenting format (greater than signs on the first line) works with tables, but will be put on all lines if you use Rich Text to edit...both are fine. 2. If you edit these tables in Rich Text mode although it will space out the table appropriately in markdown mode which can be convenient, it will also unfortunately remove any colon right or left alignment if you've specified them, so be careful or you may have to reapply your alignment. 3. Specify a table type with a div tag specifying a class as shown * Table type "no-outline" has the following format: <div class="no-outline"> > > | Name | Distance | > > | ------ | ----------------- | > > | Billy | 56 656 | > > | Sandra | {{correctAnswer}} | </div> * Table type "outline" has the following format: <div class="outline"> > > | Name | Distance | > > | ------ | ----------------- | > > | Billy | 56 656 | > > | Sandra | {{correctAnswer}} | </div> * Table type "aligned" has the following format: sm_nogap Example table that can be used for alignment. (Leave header row empty but defined, and colons define alignment. No indent is default except for 3rd example below.) <div class="aligned"> | | | | --------------------- | -------------- | | 10 km/hr x 30 min | \= 10 x 0.5 hr | | $$ \therefore $$ eggs | \= 70% yolk | </div> <br> sm_nogap And another example below (no indent): <div class="aligned"> | | | | --------------------- | ------------------------------------------- | | $$ \text{Distance} $$ | \= $$ \text{speed} \times \text{time} $$ | | | \= $$ \text{speed} \times \dfrac{30}{60} $$ | | | \= {{correctAnswer}} | </div> <br> sm_nogap 3rd example - when only one column (indent used here): <br> sm_nogap Total distance travelled <div class="aligned"> > > | | > > | ------------------------------------------- | > > | \= $$ \text{speed} \times \text{time} $$ | > > | \= $$ \text{speed} \times \dfrac{30}{60} $$ | > > | \= {{correctAnswer}} | </div> Note: End of sm_mode div is below. </div>

[{"vars":null}]

Docs - Markdown indenting and images - 8d8eee61-838c-4403-8cb1-790815660f87 - (August 10, 2021)

Docs 2

<div class="sm_mode"> * The sm_mode in the div (above it is viewable in the editor) with a closing tag at the bottom of this post modifies some of the regular markdown functionality, as show in this post below. - - - #### Please note: This page functions as a reference for post encoding usage, and will continue to be updated. - - - ### Markdown Please see [this link](https://www.markdownguide.org/basic-syntax/) to understand how to use markdown. This is a sentence in it's own paragraph. Notice there is a blank line above and below it. And another regular line. But this one is one the same line as the last...you need a blank line in markdown to signal a new paragraph. Please read this in the editor, and then see how it actually prints out in the right hand pane, the preview/viewer. #### 1a. Spaces and new lines Spaces and blank lines are treated differently in markdown.\ They are all collapsed into a single space as indicated by this line, which is actually on a new line in the editor, but doesn't have a blank line above/below. In these cases, multiple spaces and even a new line is all translated into a single space. #### 1.b How to have text be immediately on the next line without a new paragraph If you want a new line but don't want to have an extra spacing line, or you already have one, but need another, then use the backward slash\ such as this line\ To skip a line, you can use a single space with a backslash\ \ \ \ such as on the lines above this one. #### 1.c When the backslash newline won't work, do this... Sometimes this will not work (specifically if the next line is a markdown block) and you can use the "sm_nogap" indication, as shown below. sm_nogap This is a special line (used here before an indent block, but can be used anywhere) that has no margin below. > This is an indented markdown block.\ > and another! <br> #### 1.d Another way of achieving blank lines * Every so often you may need to force a new line(s) with one or more <br> (without the backslashes) tag but that should be an exception! Use sparingly. - - - ### Indenting text > This is an indented markdown block. To indent, just put a greaterthan sign on the first line of a block of text.\ > and another line! > > and yet another on a new line. Notice that the greater than sign is a markdown code, so you can either have a blank line above/below OR use the continuation backslash line to ensure the text continues on the next line. > > > and now 2 levels of indent\ > > and another one at 2 levels\ > > \ > > and some more with formulas $$\therefore x^2 \alpha$$ on this line > > and now back to one level of indent > > $$\alpha$$ and some more\ > Images can be embedded here also, but the indent setting on the image over-rides any number of the greater than signs. e.g. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/06/Functions-2ADV-F1-EQ-Bank-6.svg 200 indent vpad - - - ### Image with indent (note indent can be indent2 or indent3 also) * You can remove the vpad or the indent at the end of the line to NOT indent and NOT vertical pad, but normally you would want those. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/06/Functions-2ADV-F1-EQ-Bank-6.svg 200 indent vpad - - - ### Side by side images (note indent can be indent2 or indent3 also) sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/06/Functions-2ADV-F1-EQ-Bank-6.svg 200 indent vpad sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/06/Functions-2ADV-F1-EQ-Bank-6.svg 200 indent vpad sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/06/Functions-2ADV-F1-EQ-Bank-6.svg 200 indent vpad </div>

[{"vars":null}]

Docs - Colored markdown table templates - 5ebf8f0d-88fc-40e9-9d6a-eb2b1f43ba78 - (August 10, 2021)

Markdown tables

<div class="sm_mode"> In the tables, you can use color1 through color19 ... mostly you should use no color (the default is light blue when no color is specified) or color 1 through color6 which are from our color palette for images and are duplicated here for the tables. In addition, when no coloring at all is required, use color_white. For example: #### Tables with outline Default (no color explicitly specified) <div class="outline"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 1 (color1) <div class="outline color1"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 2 <div class="outline color2"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 3 <div class="outline color3"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 4 <div class="outline color4"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 5 <div class="outline color5"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> Color 6 <br> <div class="outline color6"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 7 <div class="outline color7"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> Color 8 <br> <div class="outline color8"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> Color 9 <br> <div class="outline color9"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> Color 10 <br> <div class="outline color10"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 11 <div class="outline color11"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 12 <div class="outline color12"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 13 <div class="outline color13"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 14 <div class="outline color14"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 15 <div class="outline color15"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 16 <div class="outline color16"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 17 <div class="outline color17"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 18 <div class="outline color18"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color 19 <div class="outline color19"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> Color White (color_white) <div class="outline color_white"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> #### Tables with no-outline <div class="no-outline"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color1"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color2"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color3"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color4"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color5"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color6"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color7"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color8"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color9"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color10"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color11"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color12"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color13"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color14"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color15"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color16"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color17"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color18"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color19"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> <div class="no-outline color_white"> > | WHITE | YELLOW | BLUE | > | :-----------: | :----------: | :------------: | > | 34 | 2 | 1 | </div> <br> The one below this inside a variable {{{question1}}} </div>

[{"vars":[{"varval":"<div class=\"outline color2\">\n\n> | WHITE | YELLOW | BLUE |\n> | :-----------: | :----------: | :------------: |\n> | 123 | 234 | 345 |\n\n</div>"}]}]

Number, NAPX-p73014v03 - 645c582e-7c2e-44f8-9c56-7396066d5ab1 - (August 03, 2021)

Number, NAPX-p73014v02 Number, NAPX-p73014v01 Number, NAPX-p117011v01 Number, NAPX-I2-26

{{{question}}}

[{"vars":[{"varval":"Idriss thinks of a number.\n\n\r\n\r\nHe writes these clues for his classmates.\n\n\n\n<div style=\"background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 20px\" >\n\n* **The number is an odd number**\n* **It is greater than 300 but less than 500**\n* **The tens digit is the same as its hundreds digit**\n\n</div>\n\n\n\n<br>\n\nWhat is Idriss' number?"},{"varval":"By elimination:\n\n\r\nNumber is between 300 and 500 ⇒ Eliminate 665.\n\n\r\nTen's digit = hundred's digit\n\n\r\n⇒ Eliminate 363 and 477.\n\n\r\n$\\therefore$ Number must be 447."}]},{"vars":[{"varval":"Fatima thinks of a number.\n\n\r\n\r\nShe writes these clues so her friends can guess it.\r\n\n\n\n\n<div style=\"background-color: lightcyan; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 20px\" >\n\n* **The number is an even number**\n* **It is greater than 100 but less than 1000**\n* **The tens digit is the same as its hundreds digit**\n\n</div>\n\n<br>\n\nWhat is Fatima's's number?"},{"varval":"By elimination:\n\n\r\nNumber is even ⇒ Eliminate 355 and 883\n\n\r\nTen's digit = hundred's digit\n\n\r\n⇒ Eliminate 808.\n\n\r\n$\\therefore$ Number must be 992."}]},{"vars":[{"varval":"Yasmine thinks of a number.\n\n\r\n\r\nShe writes these clues so her friends can guess it.\n\n\n<div style=\"background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 20px\" >\n\n* **The number is an odd number**\n* **It is greater than 500 but less than 800**\n* **The ones digit is the same as its hundreds digit**\n\n</div>\n\n<br>\n\nWhat is Yasmine's number?"},{"varval":"By elimination: \n\n\r\nNumber is odd ⇒ Eliminate 606\n\n\r\nOne's digits = hundred's digit\n\n\r\n⇒ Eliminate 655 and 779.\n\n\r\n$\\therefore$ Number must be 737."}]},{"vars":[{"varval":"\r\nJade writes a number on a piece of paper and covers it.\n\n\r\n\r\nShe gives her friend the following clues about her number.\n\n\n\n<div style=\"background-color: lightcyan; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 20px\" >\n\n* **The number is less than 1000**\n* **The number has 80 tens**\n* **The digit in the ones place is half the digit in the hundreds place.**\n\n</div>\n\n<br>\n\n\r\nWhat is Jade's number?"},{"varval":"Consider the following clues,\n\n\r\nNumber has 80 tens,\n\n\r\n⇒ Number is 3 digits, starting with 80_\n\n\r\n\r\n\r\nThe “ones” digit is half the “hundreds” digit,\n\n\r\n$\\therefore$ Number must be 804."}]},{"vars":[{"varval":"Wyatt writes a number on a piece of paper and hides it.\n\n\r\n\r\nHe gives his friend the following clues about his number.\n\n<br>\n\n<div style=\"background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 20px\" >\n\n* **The number is less than 600**\n* **The number has 40 tens**\n* **The digit in the ones place is two less than the digit in the hundreds place.**\n\n</div>\n\n<br>\n\n\r\nWhat is Wyatt's number?"},{"varval":"Consider the following clues,\n\n\r\nNumber has 40 tens,\n\n\r\n⇒ Number is 3 digits, starting with 40_\n\n\r\n\r\n\r\nThe “ones” digit is two less than the “hundreds” digit,\n\n\r\n$\\therefore$ Number must be 402."}]}]

Number, NAPX-p117048v03 - 259fba87-a843-4e3a-ae20-e2409b1b48dc - (August 03, 2021)

Number, NAPX-H2-25

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these pairs of numbers has a difference of 23?"},{"varval":"51 $-$ 28 = 23\r\n\n$\\therefore$ 28 and 51"}]},{"vars":[{"varval":"Which of these pairs of numbers has a difference of 19?"},{"varval":"77 $-$ 58 = 19\n\n\r\n$\\therefore$ 58 and 77"}]}]

Number, NAPX-G2-11 - 2fc57b8a-0542-4cf0-8866-97a32054bba3 - (August 03, 2021)

Number, NAPX-p124236v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-11v1.svg 320 indent vpad\n\nWhat is the missing number on this number line?"},{"varval":"sm_nogap Each interval is worth an extra 25.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Missing number|= 75 + 25|\n||= 100|\n\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-11v2.svg 320 indent vpad\n\nWhat is the missing number on this number line?"},{"varval":"sm_nogap Each interval is worth an extra 20.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Missing number|= 60 + 20 + 20|\n||= 100|\n\n</div>"}]}]

Number, NAPX-p124169v01 - 1bbfb948-dce1-4ff4-846e-4fda6b1a43ee - (August 02, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In which one of these numbers does the numeral 4 represent 4 hundreds?"},{"varval":"6427\n\n\r\nsm_nogap In this number:\n\n\r\n>> 6 → thousands\n\n\r\n>> 4 → hundreds\n\n\r\n>> 2 → tens\n\n\r\n>> 7 → ones"}]},{"vars":[{"varval":"In which one of these numbers does the numeral 3 represent 3 hundreds?"},{"varval":"1304\n\nsm_nogap In this number:\n\n\r\n>> 1 → thousands\n\n\r\n>> 3 → hundreds\n\n\r\n>> 0 → tens\n\n\r\n>> 4 → ones"}]}]

Number, NAPX-p116817v03 - f2b29104-e960-49f6-b5b8-eab93864f3f6 - (August 02, 2021)

Number, NAPX-p116817v02 Number, NAPX-p116817v01

<div class="sm_mode"> {{{question}}} What number makes the above number sentence correct? </div>

[{"vars":[{"varval":"3 $\\times$ <span class=\"sm-text\">?</span> = 87\n\n"},{"varval":"sm_nogap Test each option:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|3 × 29|= 3 × 20 + 3 × 9|\n||= 60 + 27|\n||= 87|\n\n</div>"}]},{"vars":[{"varval":"3 $\\times$ <span class=\"sm-text\">?</span> = 81"},{"varval":"sm_nogap Test each option:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|3 × 27|= 3 × 20 + 3 × 7|\n||= 60 + 21|\n||= 81|\n\n</div>"}]},{"vars":[{"varval":"5 $\\times$ <span class=\"sm-text\">?</span> = 65"},{"varval":"sm_nogap Test each ooption:\n\n<div class=\"aligned\">\n\n\r\n\r\n|||\r\n|-|-|\r\n|5 × 13|= 5 × 10 + 5 × 3|\r\n||= 50 + 15|\r\n||= 65|\n\n\r\n\r\n</div>"}]},{"vars":[{"varval":"4 $\\times$ <span class=\"sm-text\">?</span> = 68"},{"varval":"sm_nogap Test each option:\n\n<div class=\"aligned\">\n\n\r\n\r\n|||\r\n|-|-|\r\n|4 × 17|= 4 × 10 + 4 × 7|\r\n||= 40 + 28|\r\n||= 68|\n\n\r\n\r\n</div>"}]}]

Number, NAPX-p116801v02 - 52c8e888-f32c-4660-b3f5-3c1b1007b8e4 - (July 28, 2021)

Number, NAPX-p116801v01 Number, NAPX-H2-05

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What number is 10 less than 1005?"},{"varval":"1005 $−$ 10 = 995"}]},{"vars":[{"varval":"What number is 10 less than 1108?"},{"varval":"1108 $−$ 10 = 1098"}]},{"vars":[{"varval":"What number is 10 less than 2002?"},{"varval":"2002 $−$ 10 = 1992"}]}]

Number, NAPX-p116663v04 - 11f06ce6-501f-4bbb-a804-234df4f0b153 - (July 28, 2021)

Number, NAPX-p116663v01 Number, NAPX-I2-06 Number, NAPX-I2-p116663v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Danica travelled a total of two thousand, nine hundred and nine kilometres from Brisbane to Adelaide.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q12.svg 280 indent3 vpad\n\n<br>The distance travelled can be written as:"},{"varval":"Two thousand, nine hundred and nine = 2909"}]},{"vars":[{"varval":"Pamela skips rope. In one hour she completed five thousand two hundred and five skips.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-06-v2.svg 250 indent3 vpad\n\n<br>The number of skips can be written as:"},{"varval":"sm_nogap Five thousand two hundred and five contains:\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|⇒ 5 “thousands”|\n|⇒ 2 “hundreds”|\n|⇒ 0 “tens”|\n|⇒ 5 “ones”|\n\n\r\n</div>\n\n<br>\n\n\r\n$\\therefore$ Five thousand two hundred and five = 5205"}]},{"vars":[{"varval":"Olive skips rope.\n\r\nIn twenty-five minutes she completed two thousand and thirty nine skips.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-06-v1.svg 200 indent3 vpad\n\n<br>The number of skips can be written as:"},{"varval":"sm_nogap Two thousand and thirty nine contains:\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|⇒ 2 “thousands”|\n|⇒ 0 “hundreds”|\n|⇒ 3 “tens”|\n|⇒ 9 “ones”|\n\r\n\r\n\r</div>\n\n<br>\n\n\r\n$\\therefore$ Two thousand and thirty nine = 2039"}]},{"vars":[{"varval":"Arnie competed in the World Championship for the most push-ups in one hour.\n\r\nHe completed two thousand and eighty six push-ups in one hour.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-I2-06-v3.svg 400 indent vpad\n\n\r\n<br>The number of push-ups can be written as:"},{"varval":"\r\nsm_nogap Two thousand and eighty six contains:\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|⇒ 2 “thousands”|\n|⇒ 0 “hundreds”|\n|⇒ 8 “tens”|\n|⇒ 6 “ones”|\n\n</div>\n\n<br>\n\r\n$\\therefore$ Two thousand and eighty six = 2086"}]}]

Number, NAPX-p116787v02 - f6434ff4-52fb-4337-88f8-4b9d5a19aac6 - (July 26, 2021)

Number, NAPX-p116787v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-TLA-3-v2.svg 360 indent vpad\n\n<br>Which arrow points to the number that is halfway between 10 and 26?"},{"varval":"sm_nogap Halfway between 10 and 26\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{10 + 26}{2}$|\n|= $\\dfrac{36}{2}$|\n|= 18|\n\n</div>\n\n<br>\n\n$\\rArr C$ points to halfway."}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-TLA-3-v1.svg 330 indent vpad\n\n<br>Which arrow points to the number that is halfway between 18 and 30?"},{"varval":"sm_nogap Halfway between 18 and 30\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{18 + 30}{2}$|\n|= $\\dfrac{48}{2}$|\n|= 24|\n\n</div>\n\n<br>\n\n$\\rArr B$ points to halfway."}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-03-v2.svg 460 indent vpad\n\n<br>Which arrow points to the number that is halfway between 15 and 45?"},{"varval":"Solution 1\n\nsm_nogap Halfway between 15 and 45\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{15 + 45}{2}$|\n|= $\\dfrac{60}{2}$|\n|= 30|\n\n</div>\n\n<br>\n\nSolution 2\n\n\r\n(This point can be found by the three interval jumps needed from both 15 and 45 to get to 30)\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-03-v2-Answer.svg 450 indent vpad\n\n<br>$\\rArr B$ points to halfway."}]}]

Number, NAPX-p116616v03 - 690d1ebc-2e9f-4ee1-b76f-7cc23fefd09f - (July 26, 2021)

Number, NAPX-p116616v02 Number, NAPX-p116616v01 Number, NAPX-I2-03

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Eric owns a book which has more than 258 pages but less than 285 pages.\n\n\r\n\r\nWhich of these could represent the number of pages in Eric’s book?"},{"varval":"Check each option:\n\n\r\n287 is more than 285 ⇒ incorrect\n\n\r\n294 is more than 285 ⇒ incorrect\n\n\r\n249 is less than 258 ⇒ incorrect\n\n\r\n262 is more than 258 and less than 285 ⇒ correct"}]},{"vars":[{"varval":"Harold is travelling between Alice Springs and the Davenport Ranges.\n\n\r\n\r\nHe knows it is less than 476 kilometres but more than 448 kilometres.\n\n\r\n\r\nWhich of these could be the number of kilometres that Harold has to travel?"},{"varval":"468 is less than 476 and more than 448."}]},{"vars":[{"varval":"Nick is travelling between Margaret River and Geraldton.\n\n\r\n\r\nHe knows it is more than 646 kilometres but less than 664 kilometres.\n\n\r\n\r\nWhich of these could be the number of kilometres that Nick has to travel?"},{"varval":"662 is more than 646 and less than 664."}]},{"vars":[{"varval":"Kate is travelling from Byron Bay to Port Macquarie.\n\n\r\n\r\nShe knows that it is more 357 kilometres but less than 375 kilometres.\n\n\r\n\r\nWhich of these could be the number of kilometres that Kate has to travel?"},{"varval":"373 is more than 357 and less than 375."}]}]

Number, NAPX-H2-01 - aaca9f15-6982-4987-b23e-e6ea02927286 - (July 26, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"James rolled a dice once.\n\nThe number he rolled was odd and greater than one.\n\nWhich of these numbers could James have rolled?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Kin rolled a dice once.\n\nThe number he rolled was even and greater than two.\n\nWhich of these numbers could Kin have rolled?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Leilani rolled a dice once.\n\nThe number she rolled was odd and greater than three.\n\nWhich of these numbers could Leilani have rolled?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Armani rolled a dice once.\n\nThe number he rolled was even and greater than two.\n\nWhich of these numbers could Armani have rolled?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Huxley rolled a dice once.\n\nThe number he rolled was odd and less than three.\n\nWhich of these numbers could Huxley have rolled?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Scarlett rolled a dice once.\n\nThe number she rolled was even and greater than four.\n\nWhich of these numbers could Scarlett have rolled?"},{"varval":"{{{correctAnswer}}}"}]}]

Number, NAPX-J2-01 - d3784e3a-6a96-4a0d-8e2a-db8d49c99c21 - (July 26, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which one of these gives an answer of 63?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which one of these gives an answer of 49?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which one of these gives an answer of 85?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which one of these gives an answer of 97?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which one of these gives an answer of 59?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which one of these gives an answer of 105?"},{"varval":"{{{correctAnswer}}}"}]}]

Geometry, NAPX-G1-35 SA - 8d456c6c-cbb7-4b69-98a2-55e684ecaf32 - (July 23, 2021)

<div class="sm_mode"> This is a map of a pathway through Valentine's school. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-G1-351.png 600 indent vpad <br>Valentine walked along the path from the start to the end. For about how many metres did Valentine walk west? </div>

[{"vars":null}]

Geometry, NAPX-p72864v01 - da2aff43-42d8-4039-a45f-05c1f1638b25 - (July 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Nathan places a notepad along a line of symmetry of a hidden figure.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX7-23-1-300x260.png 200 indent vpad\n\nHow many points does the whole figure have?"},{"varval":"Number of points = {{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX7-23-1-1-300x286.png 160 indent vpad\n"}]},{"vars":[{"varval":"A piece of paper is placed along a line of symmetry of a flower.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-I3-NC10_1.svg 265 indent3 vpad\n\n<br>\n\nHow many petals does the flower have?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"A calculator is placed along a line of symmetry of a hidden figure.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v2.svg 205 indent3 vpad\n\n<br>\n\nHow many points does the whole figure have?"},{"varval":"Number of points = {{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v2a.svg 160 indent vpad"}]},{"vars":[{"varval":"A truck partially hides a sign along a line of symmetry.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v3.svg 255 indent3 vpad\n\n<br>\n\nHow many points does the whole sign have?"},{"varval":"Number of points = {{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v3a.svg 160 indent vpad"}]},{"vars":[{"varval":"Georgiou has completed half of his new logo design.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v4qa.svg 125 indent3 vpad\n\n<br>\n\nHow many points will the completed logo have?"},{"varval":"Number of points = {{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v4wsa.svg 250 indent vpad"}]},{"vars":[{"varval":"A calculator is placed along a line of symmetry of a hidden figure.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v5q.svg 205 indent3 vpad\n\n<br>\n\nHow many points does the whole figure have?"},{"varval":"Number of points = {{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p72864v01_v5ws.svg 200 indent vpad"}]}]

Geometry, NAPX-E1-21 - 3deb4e6f-146a-47ef-ad4b-48778fec53b1 - (July 23, 2021)

<div class="sm_mode"> Which of these letters has one line of symmetry? </div>

[{"vars":[]}]

Geometry, NAPX-p116721v03 - 7fea2b28-20ad-4f92-ae4e-087d0dd1913d - (July 23, 2021)

Geometry, NAPX-p116721v02 Geometry, NAPX-I2-08

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sarah drew a straight line on a shape.\n\n\r\n\r\nThe line divided the shape into two rectangles.\n\n\r\n\r\nWhich of these could have been Sarah’s shape?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q16-sol.svg 400 indent vpad\n\nDrawing any horizontal straight line on this shape divides it into two rectangles."}]},{"vars":[{"varval":"Troy drew a straight line through a shape.\n\n\r\n\r\nThe line divided the shape into two equal quadrilaterals.\n\n\r\n\r\nWhich of these could not have been Troy’s shape?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q15-b.svg 100 indent vpad\n\nDrawing a diagonal line will produce two quadrilaterals (4 sides)."}]},{"vars":[{"varval":"Colin drew a straight line on a shape.\n\n\r\n\r\nThe line divided the shape into two triangles.\n\n\r\n\r\nWhich shape below could not have been Colin's original shape?"},{"varval":"All other shapes with 4 sides could have been divided into 2 triangles.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-08d-v1.svg 100 indent vpad\n"}]}]

Geometry, NAPX-B1-19 - 8232c4dd-92e7-44ec-95cd-cc2902a786df - (July 23, 2021)

<div class="sm_mode"> Brandon is making a pattern by turning this shape a quarter turn clockwise in each box. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2009-19mc-rev-768x140.png 600 indent vpad <br>What will the shape in the last box look like? </div>

[{"vars":null}]

Geometry, NAPX-I1-22 - f255bf9b-bf27-4a92-ad10-393d21f03e91 - (July 23, 2021)

<div class="sm_mode"> Henry drew a map. He plans on leaving his house, walking to the bike shop, and then riding to the waterfall. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-I1-225-768x342.png 500 indent vpad <br>In which cell is the waterfall located? </div>

[{"vars":null}]

Geometry, NAPX-p116732v03 - 3eb97a23-71a7-4817-bedc-b60e56360868 - (July 23, 2021)

Geometry, NAPX-p116732v01 Geometry, NAPX-I2-13

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A bridge is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q26.svg 400 indent2 vpad\n\n<br>The angle $\\large y\\degree$ is marked from the foot of the bridge to the diagonal support.\n\n\r\n\r\nThe value of angle $\\large y\\degree$ is\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q26-sol.svg 400 indent vpad\n\n<br>The angle from the foot to the diagonal support is {{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13-v2.svg 120 indent vpad\n\nThe angle marked $\\ \\large x$$\\degree$ is"},{"varval":"A right angle is 90$\\degree$\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13ans-v2.svg 180 indent vpad\n\n$\\therefore$ The angle marked $\\ \\large x$$\\degree$ is {{{correctAnswer}}}"}]},{"vars":[{"varval":"A door wedge is pictured in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13-v1.svg 160 indent vpad\n\n<br>The angle marked $\\ \\large x$$\\degree$ is"},{"varval":"A right angle (bottom right in diagram) is 90$\\degree$\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-13-v1.svg 160 indent vpad\n\n<br>$\\therefore$ The angle marked $\\ \\large x$$\\degree$ is {{{correctAnswer}}}"}]}]

Geometry, NAPX-p110494v02 - cf06c874-ae9f-42c2-bfaa-534ac32e02fd - (July 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Michael’s house is shown in the map.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q20.svg 550 indent vpad\n\n<br>Michael travels to work by driving 5 kilometres west, and then walking 3 kilometres south and then 1 kilometre west.\n\nIn which cell on the map is Michael’s work?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q20-SOL.svg 340 indent vpad\n\nEach grid width (or height) on the map represents 1 kilometre.\n\n\r\n$\\therefore$ Michael’s work is at {{{correctAnswer}}} on the map."}]},{"vars":[{"varval":"\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-C1-08-300x231.png 240 indent vpad\n\nPeter moves the marker left 3 squares and then up 2 squares.\n\n\r\n\r\nWhat cell does Peter move the marker to?"},{"varval":"3 squares left: E3 $\\ \\rightarrow$ B3\n\n2 squares up: B3 $\\ \\rightarrow$ {{{correctAnswer}}}"}]}]

Geometry, NAPX-p121310v02 - 50be1d6c-6cbb-4bcb-aa23-f38de21e7e5d - (July 22, 2021)

Geometry, NAPX-K2-10

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Krusty takes off in a helicopter and heads for Sun Island.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-10v3.svg 400 indent3 vpad\n\n<br>In which direction is Krusty flying?"},{"varval":"Krusty is flying north-west"}]},{"vars":[{"varval":"Corey takes off in a helicopter and heads for Hat Island.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-10v1.svg 400 indent3 vpad\n\n<br>In which direction is Corey flying?\n"},{"varval":"Corey is flying south-west."}]}]

Geometry, NAPX-J2-22 - b9be8cec-649c-47e7-b6f9-270df37d6a9b - (July 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nRashid uses balls and sticks to make a model of a triangular pyramid.\n\nEach stick is the same length.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-22_1.svg 200 indent2 vpad\n\n<br>Rashid is given 4 more balls to change his model into a cube.\n\n\r\n\r\nHow many more sticks will Rashid need to make the cube?\n\n"},{"varval":"Rashid will need {{{correctAnswer0}}} more sticks (a total of 12).\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-22-v1.svg 170 indent2 vpad"}]},{"vars":[{"varval":"Riley uses balls and sticks to make a model of a triangular pyramid.\n\nEach stick is the same length.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-22_1.svg 200 indent2 vpad\n\n<br>Riley is given 6 more balls to change her model into a pentagonal prism.\n\n\r\n\r\nHow many more sticks will Riley need to make the pentagonal prism?\n"},{"varval":"A pentagonal prism has 5 edges at each end.\n\nRiley will need {{{correctAnswer0}}} more sticks (a total of 15).\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v1a.svg 200 indent2 vpad"}]},{"vars":[{"varval":"Ringo uses balls and sticks to make a model of a triangular pyramid.\n\nEach stick is the same length.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-22_1.svg 150 indent2 vpad\n\n<br>Ringo is given 8 more balls to change his model into a hexagonal prism.\n\n\r\n\r\nHow many more sticks will Ringo need to make the hexagonal prism?\n"},{"varval":"A hexagonal prism has 6 edges at each end.\n\nRingo will need {{{correctAnswer0}}} more sticks (a total of 18).\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v2.svg 200 indent2 vpad"}]},{"vars":[{"varval":"Rishi uses balls and sticks to make a model of a square pyramid.\n\nEach stick is the same length.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v3.svg 200 indent2 vpad\n\n<br>Rishi is given 7 more balls to change his model into a hexagonal prism.\n\n\r\n\r\nHow many more sticks will Rishi need to make the hexagonal prism?"},{"varval":"A hexagonal prism has 6 edges at each end.\n\nRishi will need {{{correctAnswer0}}} more sticks (a total of 18).\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v3aws.svg 220 indent2 vpad"}]},{"vars":[{"varval":"Valentina uses balls and sticks to make a model of a square pyramid.\n\nEach stick is the same length.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v3.svg 200 indent2 vpad\n\n<br>Valentina is given 3 more balls to change her model into a cube.\n\n\r\n\r\nHow many more sticks will Valentina need to make the cube?"},{"varval":"Valentina will need {{{correctAnswer0}}} more sticks (a total of 12).\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-J2-22_v4ws.svg 200 indent2 vpad"}]}]

Measurement, NAPX-p124026v01 - 04907f4d-e610-4678-8aa2-4d452c163246 - (July 21, 2021)

<div class="sm_mode"> Clarence made these solid prisms out of identical cubes. Which prism has the largest volume? </div>

[{"vars":[]}]

Geometry, NAPX-p120861v01 - 1c66d046-b863-41a7-b1b8-02e4b23a5175 - (July 21, 2021)

Geometry, NAPX-H2-27

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which net folds into a 3D object with 8 edges?"},{"varval":"Consider the 3D object after folding in option 1:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/03/naplan-Y5-2016-4mciii.png 120 indent vpad\n\nThis 3D object has 8 edges."}]},{"vars":[{"varval":"Which net folds into a 3D object with 6 edges?"},{"varval":"Consider the net in option 4:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-H2-27-v1-Answer.svg 100 indent vpad\n\nThe 3D object after folding has 6 edges."}]},{"vars":[{"varval":"Which net folds into a 3D object with 9 edges?"},{"varval":"Consider the 3D object after folding in option 3:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-H2-27-v2b.svg 170 indent vpad\n\nThis 3D object has 9 edges."}]},{"vars":[{"varval":"Which net folds into a 3D object with 12 edges?"},{"varval":"Consider the 3D object after folding in option 4:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-H2-27-v1b.svg 170 indent vpad\n\nThis 3D object has 12 edges."}]},{"vars":[{"varval":"Which net folds into a 3D object with 15 edges?"},{"varval":"Consider the 3D object after folding in option 2:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p120861v01_v4a.svg 190 indent vpad\n\n\nThis 3D object has 15 edges."}]},{"vars":[{"varval":"Which net folds into a 3D object with 10 edges?"},{"varval":"Consider the 3D object after folding in option 4:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p120861v01_v4b.svg 170 indent vpad\r\n\r\n\r\n\nThis 3D object has 10 edges."}]}]

Geometry, NAPX-C1-18 - da4c36d2-8115-4bd9-8f0d-6c5c0fcfe070 - (July 21, 2021)

<div class="sm_mode"> Lucy went camping. The tent she pitched is shown below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-C1-181-300x155.png 300 indent3 vpad <br>Lucy's tent is most like a </div>

[{"vars":null}]

Geometry, NAPX-J2-09 - bcd04314-3684-4f8a-bfe7-0dda19bf1137 - (July 21, 2021)

<div class="sm_mode"> Sarah makes a sculpture using identical cubes. There were six cubes in the bottom three rows. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-09-v1.svg 200 indent3 vpad <br>How many cubes did Sarah put in the top two rows altogether? </div>

[{"vars":null}]

Geometry, NAPX-D1-20 - 967d1e46-52cb-47e4-8250-ed8298307d53 - (July 21, 2021)

<div class="sm_mode"> Rory made a tower using cylinders. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2011-20mc-300x266.png 180 indent3 vpad <br>Which of these shows Rory's tower from above? </div>

[{"vars":[]}]

Geometry, NAPX-p116580v01 - 0819bd98-6951-483d-ac10-f31f2a73ec19 - (July 21, 2021)

Geometry, NAPX-J2-06

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Fiona is standing **inside** a tree house. She looks through a window with four shapes in it.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-06-v2.svg 140 indent3 vpad\n\n<br>The shapes can be seen from both sides of the window.\n\n\r\n\r\nHow would the window look when viewed from **outside** the tree house?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-06-v2b.svg 140 indent vpad "}]},{"vars":[{"varval":"Vince is standing **inside** a pre-school classroom. He looks through a window with four shapes in it.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-06-v1.svg 140 indent3 vpad\n\n<br>The shapes can be seen from both sides of the window.\n\n\r\n\r\nHow would the window look when viewed from **outside** the classroom?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-06-v1d.svg 140 indent vpad"}]}]

Geometry, NAPX-p116636v03 - 62315683-afb0-4b6e-b354-2cdf1ac2999a - (July 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Gary folded this piece of paper along the dashed lines to make a solid figure.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q8.svg 320 indent2 vpad\n\n<br>Which of these models did Gary make?\n"},{"varval":"By folding the paper along the dashed lines we could obtain a figure of:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q8-sol.svg 120 indent3 vpad"}]},{"vars":[{"varval":"Lance folded this piece of cardboard along the dotted lines to make a solid figure.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q7.svg 260 indent2 vpad\n\n<br>Which of these models did Lance made?"},{"varval":"By folding the cardboard along the dotted lines we could obtain a figure of:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q7-solution.svg 200 indent3 vpad\n"}]},{"vars":[{"varval":"Albert folded this piece of paper along the dotted lines to make a model.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-04-v2.svg 200 indent2 vpad\n\n<br>Which of these models did Albert make?​"},{"varval":"The net folds into a triangular prism\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The net below is folded to form a prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-06-v1.svg 260 indent vpad\n\nWhich prism could it make?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/NAP-H3-NC01d.png 160 indent vpad"}]},{"vars":[{"varval":"The net below is folded to form a prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-H3-NC01.svg 250 indent vpad\n\nWhich prism could it make?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-H3-NC01d.svg 160 indent2 vpad"}]}]

Geometry, NAPX-p124059v02 - 62a9b296-59db-4bb3-bc89-3184e35ade8b - (July 21, 2021)

<div class="sm_mode"> Nancy is making a rectangular prism using plastic balls and sticks. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/03/NAPX5-TLA-2-v2.svg 260 indent vpad <br>How many more sticks does Nancy need to finish the rectangular prism? </div>

[{"vars":null}]

RAPH12 Q61-62 - 3962cf34-28d5-420e-823d-d5bb7cca34db - (July 20, 2021)

Changed var0 as solution was incorrect. I still question whether the LHS of the reflection should also be included. Also whether the reflection line should be included in the worked solution image. This question is visually much more difficult than var1. Both need difficulty.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A letter V was written on a piece of paper.\r\n\nThe paper was folded along the dotted line as shown in the figure below.\n\n\r\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/RAPH12-Q61-62_v0_b.svg 200 indent vpad\n\nWhich of the following represents the reflected image if it was folded along the line?"},{"varval":"By folding the piece of paper along the dotted line we obtain a reflection of\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Raph-12-Q61-62_ws_v0.svg 480 indent vpad\n"}]},{"vars":[{"varval":"A curve was drawn on a piece of paper using wet paint.\r\n\nThe paper is then folded along the dotted line.\r\n"},{"varval":"By folding the piece of paper along the dotted line we obtain a reflection of\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/62sol.svg 450 indent vpad\n\n"}]}]

Measurement, NAPX-p116903v02 - 60b85d36-ae60-45c2-ab1e-1dc666df7491 - (July 19, 2021)

Measurement, NAPX-p116903v01 Measurement, NAPX-I2-18

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Banjo compared the weight of four different solid figures by using a balancing scale.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q35-1-300x239.png 180 indent vpad\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q35-2-300x252.png 180 indent vpad\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q35-3-300x261.png 180 indent vpad\n\n<br>Which of the four objects is the heaviest?"},{"varval":"By inspection:\n\n\r\nSphere → heavier than the cube.\n\n\r\nSphere → same weight as the cylinder.\n\n\r\nPentagonal prism → heavier than the cylinder.\n\r\n \r\n\r\n$\\therefore$ Pentagonal prism is the heaviest."}]},{"vars":[{"varval":"Bjorn balances four objects on a set of scales, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-v2.svg 600 indent vpad\n\n<br>Which object is the heaviest?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-ball.svg 60 indent vpad\n\nBowling ball → heavier than barrel and money bag \n\n\r\nMoney bag → heavier than gold\n\n\r\n$\\therefore$ Bowling ball must be the heaviest."}]},{"vars":[{"varval":"Angelina balances four objects on a set of scales, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-v1.svg 600 indent vpad\n\n<br>Which object is the heaviest?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-18-gold_rev.svg 75 indent vpad\n\nMoney bag → heavier than bowling ball and barrel\n\n\r\nGold → heavier than the money bag\n\n\r\n$\\therefore$ Gold must be the heaviest."}]}]

Measurement, NAPX-H1-27 - 6ae8ad2e-2209-4a1b-899e-48722ef4ba6c - (July 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The scales are balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2015-27mc.png 420 indent vpad\n\n<br>Which one of these weighs the least?\n"},{"varval":"4 cubes weigh the same as 1 triangle.\n\n\n3 balls weigh the same as 1 triangle.\n\n\n⇒ A cube must be the lightest.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"These scales are balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/balance_1-min.svg 220 indent vpad\n\n<br>Which one of these weighs the least?"},{"varval":"2 cubes weigh the same as 1 pyramid.\n\n4 balls weigh the same as 1 pyramid.\n\n⇒ A ball must be the lightest.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"These scales are balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/balance_2-min.svg 220 indent vpad\n\n<br>Which one of these weighs the least?"},{"varval":"2 pyramids weigh the same as 1 cube.\n\n3 balls weigh the same as 1 cube.\n\n⇒ A ball must be the lightest.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"These scales are balanced.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/banana-fruit-min.svg 390 indent vpad\n\nWhich piece of fruit weighs the least?\n\n\n"},{"varval":"3 bananas weigh the same as 2 pears.\n\n4 apples weigh the same as 2 pears.\n\n⇒ An apple must weigh the least.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"These scales are balanced.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/vegetable-balance-min.svg 390 indent vpad\n\nWhich vegetable weighs the least?\n\n\n"},{"varval":"2 egg plant weigh the same as 1 pumpkin.\n\n4 carrots weigh the same as 1 pumpkin.\n\n⇒ A carrot must weigh the least.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"These scales are balanced.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/balance-kitchen-min.svg 350 indent vpad\n\nWhich item weighs the least?"},{"varval":"4 glasses weigh the same as 1 vase.\n\n5 mugs weigh the same as 1 vase.\n\n⇒ A mug must weigh the least.\n\n{{{correctAnswer}}}"}]}]

Measurement, NAPX-K2-40 - 80122082-6846-4a89-8016-9631f2e486fe - (July 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Valerie looked at the calendar on 23 March.\n\nShe plans to go to the theatre on 15 April and circled this on the calendar below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-40.svg 220 indent3 vpad\n\nWhat day of the week is 23 March?"},{"varval":"Working backwards:\n\n\r\n>>1 April → Tuesday (from calendar)\n\n\r\n>>31 March → Monday (31 days in March)\n\n\r\n>>24 March → Monday \r\n\n<br> \r\n\r\n$\\therefore$ 23 March is a {{{correctAnswer}}}"}]},{"vars":[{"varval":"Curtly looked at the calendar on 5 March.\n\nHe plans to go to the cricket on 15 April and circled this on the calendar below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-40.svg 220 indent3 vpad\n\nWhat day of the week is 5 March?"},{"varval":"Working backwards:\n\n\r\n>>1 April → Tuesday (from calendar)\n\n\r\n>>31 March → Monday (31 days in March)\n\n>>24 March → Monday \n\n>>17 March → Monday \n\n>>10 March → Monday \n\r\n>>3 March → Monday \r\n\n<br> \r\n\r\n$\\therefore$ 5 March is a {{{correctAnswer}}}"}]},{"vars":[{"varval":"Jevin looked at the calendar on 14 May.\n\nHe plans to go to the AFL the following month on 9 June, shown in the calendar below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-17.svg 220 indent3 vpad\n\n<br>What day of the week is 14 May?"},{"varval":"Working backwards:\n\n\r\n>>1 June → Friday (from calendar)\n\n\r\n>>31 May → Thursday (31 days in May)\n\n>>24 May → Thursday \n\n>>17 May → Thursday \n\n<br> \r\n\r\n$\\therefore$ 14 May is a {{{correctAnswer}}}"}]}]

Measurement, NAPX-J2-40 - 2e637bcd-ae37-40fb-afdb-cae89a7defd9 - (July 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Grant takes 15 minutes to walk to the beach for board training.\n\n\r\n\r\nLast week he arrived at training at 4:05 pm, which was 25 minutes late.\n\n\r\n\r\nAt what time would Grant leave home to arrive at board training on time?"},{"varval":"sm_nogap Start of training\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4:05 less 25 minutes|\n|= 3:40 pm|\n\n</div>\n\n\r<br>\n\r\n\r\nsm_nogap $\\therefore$ Time to leave home\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 3:40 less 15 minutes|\n|= {{{correctAnswer}}}|\n\r\n\n</div>"}]},{"vars":[{"varval":"Yves took 25 minutes to walk to her job interview.\n\nWhen Yves arrived at 11:15 am, she was told she was 35 minutes late.\n\nAt what time should Yves have left home to arrive at her job interview on time?"},{"varval":"sm_nogap Time of job interview\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 11:15 less 35 minutes|\n|= 10:40 pm|\n\n</div>\n\n\r<br>\n\r\n\r\nsm_nogap $\\therefore$ Time to leave home\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 10:40 less 25 minutes|\n|= {{{correctAnswer}}}|\n\r\n\n</div>"}]}]

Measurement, NAPX-p116865v04 - 615dbb11-cfbe-4835-a465-8a1f9c2c8ae7 - (July 19, 2021)

Measurement, NAPX-p116865v03 Measurement, NAPX-p116865v02 Measurement, NAPX-p116865v01 Measurement, NAPX-p124595v01 Measurement, NAPX-G2-17

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\r\nScott expects his wine to be delivered on the 28th March.\n\nHe is told by the distributor that its delivery will be delayed by 5 days.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/Measurement-NAPX5-TLA-6-v2-300x300.png 260 indent3 vpad\n\n<br>What day of the week will the wine now be delivered?"},{"varval":"28th March is a Thursday.\n\n\r\n$\\therefore$ 5 days later is a Tuesday."}]},{"vars":[{"varval":"Marty expects his gold mining drench to be delivered on the 28th of June.\n\nDelays at customs mean it will be delivered 6 days later.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/03/naplan-Y5-2015-9mc-rev-300x300.png 260 indent3 vpad\n\n<br>Which day of the week should the drench now be delivered?"},{"varval":"28th June is a Tuesday.\n\n\r\n$\\therefore$ 6 days later is a Monday."}]},{"vars":[{"varval":"Abbey's birthday is on the 3th of August.\n\nHer sister Lily had her birthday 6 days earlier.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-09-v2.png 330 indent3 vpad\n\n<br>Which day of the week was Lily's birthday in 2017?"},{"varval":"3rd August was on a Thursday.\r\n\n$\\therefore$ Lily's birthday was on a {{{correctAnswer}}}."}]},{"vars":[{"varval":"Basil's birthday is on the 29th of August.\n\nHis father's birthday is 6 days later.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-09-v2.png 330 indent3 vpad\n\n<br>Which day of the week was his father's birthday in 2017?"},{"varval":"29th August was a Tuesday.\n\n\r\n$\\therefore$ Father's birthday was on {{{correctAnswer}}}."}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-17.svg 260 indent3 vpad\n\nDavid has a dentist appointment on 4 June.\n\n5 days before the appointment, David's tooth fell out.\n\nOn which day of the week did his tooth fall out?"},{"varval":"Working backwards:\n\n\r\n1 day before 4 June → Sunday\n\n\r\n2 days before 4 June → Monday\n\n$\r\\therefore$ 5 days before 4 June → {{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-17.svg 240 indent3 vpad\n\nThe French Open women's tennis final was held on 2 June.\n\n\r6 days before the final, Lleyton arrived in Paris.\n\nOn what day of the week did Lleyton arrive in Paris?"},{"varval":"Working backwards:\n\n\r\n1 day before 2 June → Friday\n\n\r\n2 days before 2 June → Thursday, etc...\n\n$\r\\therefore$ 6 days before 2 June → {{{correctAnswer}}}"}]},{"vars":[{"varval":"Stella's birthday is on the 30th of March.\n\r\nBlanche's birthday is four days after Stella's.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2015-17mc.png 290 indent2 vpad\n\n\n<br>Which day of the week does Blanche's birthday fall on in 2014?"},{"varval":"30th March ⇒ Thursday\n\n\r\nOne day after ⇒ Friday\n\n\r\nTwo days after ⇒ Saturday\n\n$\\therefore$ Four days after ⇒ {{{correctAnswer}}}"}]}]

Measurement, NAPX-E1-14 - c5e6b615-387c-44a4-971d-e7e3b8aa5660 - (July 19, 2021)

<div class="sm_mode"> Lin's alarm clock is upside down. When he looked at it, he saw this. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-E1-141-292x300.png 200 indent2 vpad <br>At what time did he look at his alarm clock? </div>

[{"vars":null}]

Measurement, NAPX-H1-17 - 09360345-3da2-4fc7-a4dc-99faec091697 - (July 19, 2021)

<div class="sm_mode"> Stella's birthday is on the 30th of March. Blanche's birthday is four days after Stella's. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2015-17mc-300x300.png 240 indent2 vpad <br>Which day of the week does Blanche's birthday fall on in 2014? </div>

[{"vars":null}]

Measurement, NAPX-P116571v02 - 59aa1dcd-d972-4988-a918-9edde87ed490 - (July 19, 2021)

SJ v3 - v7 added

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"How many months are there in 2 years?"},{"varval":"sm_nogap Months in 2 years\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 2 × 12|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"How many months are there in 4 years?"},{"varval":"sm_nogap Months in 4 years\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × 12|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"How many months are there in one and a half years?"},{"varval":"sm_nogap Months in one and a half years\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 12 + $\\dfrac{1}{2}\\ \\times$ 12|\n|= 12 + 6|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"How many months are there in 3 years?"},{"varval":"sm_nogap Months in 3 years\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 3 × 12|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"How many months in 5 years?"},{"varval":"sm_nogap Months in 5 years\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 5 × 12|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"How many months in two and a half years?"},{"varval":"sm_nogap Months in two and a half years\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 2 $\\times$ 12 + $\\dfrac{1}{2}\\ \\times$ 12|\n|= 24 + 6|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"How many months in half a year?"},{"varval":"sm_nogap Months in half a year\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2}\\ \\times$ 12|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"How many months in a quarter of a year?"},{"varval":"sm_nogap Months in a quarter of a year\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{4}\\ \\times$ 12|\n|= {{{correctAnswer}}}|\n\n</div>"}]}]

RAPH12 Q59-60 - 044b7e7e-25c1-4b2f-9c37-9ba6496fcf34 - (July 19, 2021)

Corrected English. Difficulty needed.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A pattern was made by Nathalie as shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/59.svg 550 indent vpad\n\nWhich of the following, when repeated, will result in the pattern shown above?"},{"varval":"{{{correctAnswer}}}\n\nRepeating this pattern three times will result in the pattern above."}]},{"vars":[{"varval":"A unique pattern is shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/09/60.svg 650 indent vpad\n\nWhich of the following, when repeated, will result in the pattern shown above?"},{"varval":"{{{correctAnswer}}}\n\nRepeating this pattern two times will result in the pattern above."}]}]

RAPH12 Q53-54 - 36abfd22-be5d-492c-847d-0ab5b8df0409 - (July 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Timothy attended a meeting which started a\rt 8:30 a.m.\n\nThe meeting ended at 11:16 a.m.\n\n\rFor how long was the meeting held?\n"},{"varval":"From 8:30 a.m. to 9:00 a.m., 30 minutes have passed.\r\n\nFrom 9:00 a.m. to 11:00 a.m., 2 hours have passed.\r\n\nFrom 11:00 a.m. to 11:16 a.m., 16 minutes have passed.\r\n\nTotal time = 2 hours 46 minutes\r\n"}]},{"vars":[{"varval":"Morty attended a seminar about lifestyle which started at 2:05 p.m.\n\nThe seminar ended at 4:23 p.m.\n\nFor how long was the seminar held?\r\n"},{"varval":"Starting from 2:05 p.m. up to 2:23 p.m., 18 minutes have passed.\r\n\nFrom 2:23 p.m. to 4:23 p.m., 2 hours have passed.\r\n\nTotal time = 2 hours 18 minutes\r\n"}]}]

RAPH12 Q55-56 - 3777ca8a-18cc-4a34-a58d-c8367a34f98f - (July 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A moon and star image is shown below\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/55.svg 200 indent vpad\n\nThe image is rotated a quarter of a turn in a clockwise direction\r\n\nWhich of the following is the resulting position of this image?\r\n"},{"varval":"After rotating the image by 90° (a quarter turn) clockwise, the resulting image is:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/55sol.svg 400 indent vpad"}]},{"vars":[{"varval":"A cowboy boot is shown in the image below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/56.svg 200 indent vpad\n\nIt is rotated two quarter turns in an anti-clockwise direction. \n\nWhich of the following is the resulting position of this image?\r\n"},{"varval":"After rotating the image by 2 quarter turns or 180°, the resulting image is:\t \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/56sol.svg 350 indent vpad"}]}]

RAPH12 Q57-58 - 37e930b6-a42d-42dc-b48d-50ad0245b013 - (July 19, 2021)

Needs difficulty

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/57.svg\" style=\"height: 50px;\"> represents $\\dfrac{4}{7}$\r\n\r\nWhich of the following represents a whole?\r\n\n\n</div>"},{"varval":"Each pointed figure represents $\\dfrac{1}{7}$\r\n\nTherefore, 7 figures represent a whole\n\n\r\n{{{correctAnswer}}}\n\n"}]},{"vars":[{"varval":"<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/58.svg\" style=\"height: 35px;\"> represents $\\dfrac{1}{3}$\r\n\r\nWhich of the following represents a whole?\r\n\n\n</div>"},{"varval":"<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/58.svg\" style=\"height: 35px;\"> represents $\\dfrac{1}{3}$ $=$ $\\dfrac{2}{6}$\n\nTherefore a single spiral represents $\\dfrac{1}{6}$ of a whole\r\n\nTherefore, 6 spirals represent a whole\n\n\r\n{{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"<div class=\"sm_img_inline\" style=\"height: 20px\">\n\n\n<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2025/11/RAPH12-Q57-58v2_6.svg\" style=\"height: 35px;\"> represents $\\dfrac{3}{4}$\n\nWhich of the following represents a whole?\n\n\n</div>"},{"varval":"In this figure $\\dfrac{6}{?}$=$\\dfrac{3}{4}$\n\nEach star figure represents $\\dfrac{1}{8}$ as $\\dfrac{6}{8}$=$\\dfrac{3}{4}$\n\nTherefore, 8 figures represent a whole\n\n\n{{{correctAnswer}}}\n\n"}]}]

Measurement, Raph12-51/52 - 4c6f643c-ef2b-404b-b289-9ee6d85c6e06 - (July 19, 2021)

NAP-F2-18

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Flint has his birthday on the 21st of May.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/51.svg 250 indent3 vpad\n\n<br>His father’s birthday is 12 days after his.\r\n\nWhat day is his father’s birthday?\r\n"},{"varval":"Counting 12 days from May 21:\n\nDay 10 $\\rightarrow$ Monday, 31-May\n\nDay 11 $\\rightarrow$ Tuesday, 1-Jun\n\nDay 12 $\\rightarrow$ Wednesday, 2-Jun\n\n$\\therefore$ Father’s birthday is on {{{correctAnswer}}}."}]},{"vars":[{"varval":"Trish’s graduation day is on April 6.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/52.svg 250 indent3 vpad\n\n<br>She plans to go to a concert 8 days before her graduation.\r\n\nWhat day is the concert on?\r\n"},{"varval":"Counting 8 days backwards from Apr 6:\n\nDay 5 $\\rightarrow$ Thursday, 1-Apr\n\nDay 6 $\\rightarrow$ Wednesday, 31-Mar\n\nDay 7 $\\rightarrow$ Tuesday, 30-Mar\n\nDay 8 $\\rightarrow$ Monday, 29-Mar\n\n$\\therefore$ The concert is on a {{{correctAnswer}}}.\n"}]}]

Statistics, NAPX-p108432v02 - 09fb99db-ac6f-4e26-a6d3-19b57d3ba7d5 - (July 17, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The graph below represents data gathered from 9 professional workers.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_72.svg 340 indent vpad\n\n<br>What kind of data could be represented in the graph shown above?\n"},{"varval":"{{{correctAnswer}}}\n\n* Each data category needs to have many numerical possibilities\n\n* The chosen pair need a general relationship where one moves higher at the same time as the other. \n\nAge and salary is the most likely.\n"}]},{"vars":[{"varval":"The graph below represents data gathered from a winter clothing store.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_NAPX-p108432v02_v1.svg 340 indent3 vpad\n\n<br>What kind of data could be represented in the graph shown above?\n"},{"varval":"{{{correctAnswer}}}\n\n* Each data category needs to have many numerical possibilities\n\n* The chosen pair need a general relationship where one moves lower at the same time as the other gets higher. \n\nTemperature and sales is the most likely.\n"}]},{"vars":[{"varval":"The graph below represents data gathered about a beach.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_NAPX-p108432v02_v2.svg 340 indent3 vpad\n\n<br>What kind of data could be represented in the graph shown above?\n"},{"varval":"{{{correctAnswer}}}\n\n* Each data category needs to have many numerical possibilities\n\n* The chosen pair need a general relationship where one moves higher at the same time as the other. \n\nNumber of people at the beach and temperature are most likely.\n\n"}]},{"vars":[{"varval":"The graph below represents data gathered from a class of 20 students.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_NAPX-p108432v02_v3.svg 340 indent3 vpad\n\n<br>What kind of data could be represented in the graph shown above?\n"},{"varval":"{{{correctAnswer}}}\n\n* Each data category needs to have many numerical possibilities\n\n* The chosen pair need a general relationship where one moves higher at the same time as the other. \n\nScore on a Quiz and Hours of Study is the most likely.\n"}]},{"vars":[{"varval":"The graph below represents data gathered from a person at the gym.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_NAPX-p108432v02_v4.svg 340 indent3 vpad\n\n<br>What kind of data could be represented in the graph shown above?\n"},{"varval":"{{{correctAnswer}}}\n\n* Each data category needs to have many numerical possibilities\n\n* The chosen pair need a general relationship where one measurement moves lower as the other moves higher. \n\nInitially the heartrate is high and as times goes by the heartrate returns to normal. \n\nSo Minutes since the gym class completed and Heart rate are most likely.\n"}]},{"vars":[{"varval":"The graph below represents data gathered from 14 university students.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_NAPX-p108432v02_v5.svg 340 indent3 vpad\n\n<br>What kind of data could be represented in the graph shown above?\n"},{"varval":"{{{correctAnswer}}}\n\n* Each data category needs to have many numerical possibilities\n\n* The chosen pair need a general relationship where one moves higher at the same time as the other. \n\nWeight of Backpack and Number of Books is the most likely.\n"}]}]

Number, Raph12-49/50 - 34c070d1-4d52-4163-b18d-1d1a087ec937 - (July 17, 2021)

NAP-F2-19

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A fruit stall sold half of its pineapples in the first hour at a market.\r\n\nIt then sold 9 more and had 3 pinepples left to sell.\r\n\nHow many pineapples did the stall have for sale at the start of the day?\r\n"},{"varval":"Working backwards:\n\nAdd the 9 pineapples sold to the 3 that were left\n\n$\\rightarrow$ 12 pineapples after 1 hour\n\n$\\rightarrow$ 12 pineapples were half of the starting number\n\n$\\therefore$ Pineapples for sale = 12 $\\times$ 2 = {{{correctAnswer}}}\r\n"}]},{"vars":[{"varval":"Kelly shared half of her sherbet cones with her friends at school.\r\n\nShe then gave 13 more sherbert cones to her AFL team mates.\r\n\nNow she had 7 sherbert cones left.\r\n\nHow many sherbert cones did Kelly have at the start?\r\n"},{"varval":"Working backwards:\n\nAdd the 13 to the 7 sherbert cones left.\n\n$\\rightarrow$ 20 sherbert cones\n\n$\\rightarrow$ 20 sherbert cones is half of the starting number\n\n$\\therefore$ Sherbert cones at start = 20 $\\times$ 2 = {{{correctAnswer}}}\r"}]}]

Number, Raph12-47/48 - 5d42ff9d-0407-48f0-b77f-db51790936a0 - (July 17, 2021)

NAP-F2-20

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Lester has a goal of cycling a total distance of 6200 metres.\r\n\nHis GPS tracker recorded that he had travelled 4286 metres.\r\n\nWhat distance does he still need to cycle to reach his goal?\r\n"},{"varval":"One strategy:\n\nSubtract thousands first, then hundreds, then the balance (as per the solution).\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Distance left | \\= 6200 – 4286 |\r\n| | \\= 2200 – 286 |\r\n| | \\= 2000 – 86 |\r\n| | \\= {{{correctAnswer}}} metres |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Derek has a goal of jogging a total distance of 4150 metres.\r\n\nHis GPS tracker shows he has already jogged a distance of 2317 metres.\r\n\nHow much further does he have to jog to reach his goal?\r\n"},{"varval":"One strategy:\n\nSubtract thousands first, then hundreds, then the balance (as per the solution).\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Distance left | \\= 4150 – 2317 |\r\n| | \\= 2150 – 317 |\r\n| | \\= 1850 – 17 |\r\n| | \\= {{{correctAnswer}}} metres |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Carol's research shows the number of privately owned tigers in Texas in 2019 is 6734.\n\nIn 2020, there are 4816 privately owned tigers in Texas.\n\nWhich number shows the reduction of tigers owned privately between 2019 and 2020?"},{"varval":"One strategy:\n\nSubtract thousands first, then hundreds, then the balance (as per the solution).\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Distance left | \\= 6734 – 4816 |\r\n| | \\= 2734 – 816 |\r\n| | \\= 1934 – 16 |\r\n| | \\= {{{correctAnswer}}} tigers |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Dick was flying his helicopter to a destination 3407 kilometres away.\n\nHis radar showed that he had flown 1721 kilometres.\n\nHow much further does Dick need to fly to reach his destination?"},{"varval":"One strategy:\n\nSubtract thousands first, then hundreds, then the balance (as per the solution).\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Distance left | \\= 3407 – 1721 |\r\n| | \\= 2407 – 721 |\r\n| | \\= 1707 – 21 |\r\n| | \\= {{{correctAnswer}}} kilometres |\r\n\r\n</div>\r"}]}]

Geometry, Raph12-45/46 - 0eb061f0-4bb0-48b0-b8a2-49f820f9f031 - (July 16, 2021)

NAP-F2-21

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Keira’s shoe print is shown in the picture below:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/45.svg 120 indent3 vpad\n\nWhich shoe below could have made the print?"},{"varval":"The correct shoe has the mirror image of the shoe print.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/45sol.svg 300 indent vpad"}]},{"vars":[{"varval":"Tristan has the glove shown below and is trying to find its pair.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/46.svg 120 indent3 vpad\n\n<br>Which of the following is the pair of Tristan’s gloves?"},{"varval":"The correct pair of the glove is the mirror image.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/46sol.svg 250 indent vpad"}]}]

Statistics, Raph12-43/44 - ddc87b6b-ec4b-4690-ad68-6b50a88a9a31 - (July 16, 2021)

NAP-F2-22

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A survey of four villages asked people if they had gone to hospital in the last 3 years.\n\r\nThe results are shown in the graph below.\n\n\r\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/43.svg 550 indent vpad\n\nWhich village had the highest total number of people that had been to hospital in the last 3 years?"},{"varval":"sm_nogap Calculate the total of each village:\r\n\n> Village A = 25 + 35 = 60\r\n\n>Village B = 40 + 20 = 60\r\n\n>Village C = 45 + 30 = 75\r\n\n>Village D = 30 + 35 = 65\r\n\n<br>\n\nTherefore, {{{correctAnswer}}} has the most number of people that owns a pet.\r\n"}]},{"vars":[{"varval":"Four companies were asked how many men and women work in the company.\r\n\nThe results are shown in the graph below.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/44.svg 550 indent vpad\n\nWhich company has the highest total number of employees?"},{"varval":"sm_nogap Calculate the total employees in each company:\n\r\n\n>Company A = 35 + 40 = 75\r\n\n>Company B = 25 + 45 = 70\r\n\n>Company C = 45 + 35 = 80\r\n\n>Company D = 40 + 45 = 85\r\n\n<br>\n\nTherefore, {{{correctAnswer}}} has the highest number of employees.\r\n"}]},{"vars":[{"varval":"Two coffee shop franchises, Cafe A and Cafe B, are the only two coffee shops that sell coffee at four different shopping centres.\n\nPeople were asked at each shopping centre whether they purchased their coffee from Cafe A or Cafe B.\r\n\nThe results are shown in the graph below.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Raph12-43-44_v2a.svg 550 indent vpad\n\nWhich shopping centre had the highest number of people completing the survey?"},{"varval":"Calculate the total people surveyed at each shopping centre:\n\r\n\n>Cafeteria A = 20 + 45 = 65\r\n\n>Cafeteria B = 35 + 15 = 50\r\n\n>Cafeteria C = 45 + 10 = 55\r\n\n>Cafeteria D = 40 + 20 = 60\r\n\n<br>\n\nTherefore, {{{correctAnswer}}} had the highest number of people completing the survey.\r\n"}]},{"vars":[{"varval":"Four soccer clubs were asked how many men and women were registered to play in the 2022 season.\r\n\nThe results are shown in the graph below.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Raph12-43-44_v3.svg 580 indent vpad\n\nWhich soccer club has the highest total number of players?"},{"varval":"Calculate the total players registered at each club:\n\r\n\n>Club A = 110 + 70 = 180\r\n\n>Club B = 120 + 90 = 210\r\n\n>Club C = 95 + 110 = 205\r\n\n>Club D = 90 + 115 = 205\r\n\n<br>\n\nTherefore, {{{correctAnswer}}} has the highest number of players.\r\n"}]},{"vars":[{"varval":"Four companies recorded the sales of Product A and Product B in 2019.\r\n\nThe results are shown in the graph below.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Raph12-43-44_v4.svg 550 indent vpad\n\nWhich company had the highest total sales of the two products in 2019?"},{"varval":"Calculate the total sales for each company:\n\r\n\n>Company A = 1700 + 1800 = 3500\r\n\n>Company B = 1400 + 1900 = 3300\r\n\n>Company C = 1600 + 1700 = 3300\r\n\n>Company D = 1700 + 1600 = 3300\r\n\n<br>\n\nTherefore, {{{correctAnswer}}} had the highest total sales.\r\n"}]},{"vars":[{"varval":"Four hardware companies were asked how many men and women customers purchased goods between 8 am and 7 pm on Thursday.\r\n\nThe results are shown in the graph below.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Raph12-43-44_v5_1.svg 550 indent vpad\n\nWhich company has the highest total number of customers?"},{"varval":"Calculate the total customers for each company:\n\r\n\n>Company A = 5200 + 3600 = 8800\r\n\n>Company B = 4500 + 5100 = 9600\r\n\n>Company C = 4300 + 4900 = 9200\r\n\n>Company D = 5000 + 4200 = 9200\r\n\n<br>\n\nTherefore, {{{correctAnswer}}} had the highest number of customers.\r\n"}]}]

RAPH14 Q7-9 - 4b881146-6a95-45cc-a4b6-f44701a72132 - (July 16, 2021)

Raph14-8 Raph14-9 These questions all use cents in the questions and the images were all of coins in Euro. I have added an image to var0 but it is grainy. Is it possible for Myca to get new images for these questions?

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Beth has 7 five-cent coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Raph-14-Q7-9.svg 250 indent vpad\n\nHow much money does Beth have altogether?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total money | \\= 5 $\\times$ 7 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Jane received 6 twenty-cent coins from her friend.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/raph14_q8.svg 320 indent vpad\n\nHow much money does Jane have altogether?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total money | \\= 20 $\\times$ 6 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Jonathan has 6 five-cent coins.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/08/raph14_q9.svg 250 indent vpad\n\nHow much money does Jonathan have altogether?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total money | \\= 5 $\\times$ 6 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

Measurement, RAPH14 Q4-5 - 2aa08309-993a-4a7f-926a-01efb3a07f30 - (July 16, 2021)

RAPH14-4 RAPH14-6 Changed some grammar and deleted an extra full stop but can't see much else wrong with these questions.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Carl and Joshua each had a pen.\n\nThey each measured their pen against a line of identical pins.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Raph14-5.png 550 indent vpad\n\n<br>Which of the following statements is true?\n"},{"varval":"Joshua’s pen measures almost the length of 3 pins whilst Carl’s pen measures around 2 pins.\r\n\nTherefore, {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Andrea and Kelly each had a spoon.\r\n\nThey measured their spoons using paddle pop sticks.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/08/Raph14-6.png 550 indent vpad\n\n<br>Which of these statements is true?\n"},{"varval":"Andrea’s spoon measures around 2 and a half paddle pop sticks, whilst Kelly’s spoon measures around 3 paddle pop sticks.\r\n\nTherefore, {{{correctAnswer}}}\r\n"}]},{"vars":[{"varval":"Juliet and Roman each had a pencil.\n\nThey each measured their pencil against a line of identical paperclips.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/paperclip-1-pencil-1-min.svg 550 indent vpad\n\n<br>Which of the following statements is true?\n"},{"varval":"Roman’s pencil measures the length of 5 paperclips whilst Juliet’s pencil measures 4 paperclips.\n\nTherefore, {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Siren and Atlas each had a feather.\n\nThey each measured their feather against a line of identical paperclips.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/feather-paperclip-1-min.svg 550 indent vpad\n\n<br>Which of the following statements is true?\n"},{"varval":"Atlas’s feather measures about the length of 5 and a half feathers whilst Siren’s feather measures about 3 feathers.\n\nTherefore, {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Molly and Joy each had a highlighter.\n\nThey each measured their highlighter against a line of identical pushpins.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/pushpins-1-highlighters-min.svg 550 indent vpad\n\n<br>Which of the following statements is true?\n"},{"varval":"Molly’s highlighter measures about the length of 4 and a half pushpins and Joy’s highlighter measures about 4 and a half pushpins.\n\nTherefore, {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Andrew and Sue each caught a fish.\n\nThey each measured their fish against a line of identical pens.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/Fish-pens-min.svg 550 indent vpad\n\n<br>Which of the following statements is true?\n"},{"varval":"Andrew’s fish measures about the length of 3 and a half pens whilst Sue’s fish measures about 3 pens.\n\nTherefore, {{{correctAnswer}}}\n"}]}]

RAPH14 Q1-3 - dba3a604-20b9-444a-8048-4b54a19b246c - (July 16, 2021)

Raph14-1 Raph14-2 Raph14-3 Changed some punctuation and re-worded one variant but can't see anything else wrong with these questions.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Who has the most hearts?"},{"varval":"sm_nogap Check each option:\r\n\n>Mary has 7 hearts\r\n\n>Sharon has 11 hearts\r\n\n>Hina has 9 hearts\r\n\n>Julia has 8 hearts\r\n\n<br>\n\nTherefore, Sharon has the most hearts."}]},{"vars":[{"varval":"Which group has the most diamonds?"},{"varval":"sm_nogap Check each option:\r\n\n>Oxford has 9 diamonds\r\n\n>Lincoln has 11 diamonds\r\n\n>Rutherford has 6 diamonds\r\n\n>William has 13 diamonds\r\n\n<br>\n\nTherefore, the William's group has the most diamonds. \n"}]},{"vars":[{"varval":"Who has the most leaves?"},{"varval":"sm_nogap Check each option:\r\n\n>John has 8 leaves\r\n\n>Neil has 11 leaves\r\n\n>Adrian has 12 leaves\r\n\n>Ryan has 14 leaves\r\n\n<br>\n\nTherefore, Ryan has the most leaves.\r\n"}]}]

Statistics, NAPX-p121677v01 - 0dd0f5b2-3c05-4628-90e4-40926afeb42a - (July 16, 2021)

<div class="sm_mode"> Bruno is in Year 5. He wants to know the most popular colour for boys in Year 5. Which of these would best help Bruno to know the answer? </div>

[{"vars":null}]

Algebra, NAPX-p106742v01 - 628ba37b-814a-49d9-9f73-57a5818e8fd4 - (July 16, 2021)

<div class="sm_mode"> A Cartesian plane is shown below.. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_85.svg 350 indent vpad Which statement is true? </div>

[{"vars":null}]

Measurement, NAPX-p117004v01 - e5cc8777-b02e-43e7-b2f0-ac5cc955fce1 - (July 16, 2021)

Measurement, NAPX-p73132v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the perimeter of the shape below given each square has a side length of 1 cm.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-21-v2.svg 280 indent vpad"},{"varval":"sm_nogap Starting at the bottom right and moving clockwise:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= 6 + 1 + 1 + 1 + 1 + 1 + 3 + 2 + 1 + 3|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Each square in the figure has a side length which measures 1 centimetre.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX7-21-2-3-300x228.png 200 indent vpad\n\n<br>What is the perimeter of the figure?"},{"varval":"Starting at the bottom right corner and\r\nmoving clockwise:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX7-21-2-2-283x300.png 200 indent vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= 4 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 2|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Probability, NAPX-p116940v01 - ba23107c-59ca-4b71-96e1-b8d26c29008f - (July 15, 2021)

Probability, NAPX-p116940v02 Probability, NAPX-p116940v03 Probability, NAPX-p116940v04

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The arrow pictured below is spun once:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-20-v2.svg 200 indent3 vpad\n\n<br> Which shape is the spinner least likely to land on?"},{"varval":"Least likely to land on the shape that takes up the\r\nthe smallest area on the target.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"A spinning wheel has 3 different colours.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q39.png 220 indent3 vpad\n\n<br> Which colour in the wheel is most likely to land on?"},{"varval":"By inspection, grey is the most likely as it it shades the\r\nlargest area of the wheel."}]},{"vars":[{"varval":"A small disk is thrown onto the table top pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/NAPX5-TLA-12-v1.svg 200 indent3 vpad\n\n<br> It has an equal chance of landing in any square.\r\n\r\nWhich numbered square is the disk least likely to land in?"},{"varval":"Only 1 square is numbered 4 (all other numbers have 2 squares).\n\n$\\therefore$ Least likely to land in square 4"}]},{"vars":[{"varval":"A spinning wheel has sections labelled with different numbers.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/p116940v03.png 200 indent3 vpad\n\n<br> If the spinner has an equal chance of landing in each section, which of the numbers is the spinner most likely to land on?"},{"varval":"Since the spinner is divided into 8 equal sections and each number has\r 2 sections, all numbers are equally likely."}]}]

Probability, NAPX-K2-12 - 117aa253-ec32-4e16-8580-ddf9d6750f26 - (July 15, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Eight buttons, numbered 1 to 8, are placed in a bag.\r\n\r\nRobin picks three buttons out of the bag without looking.\r\n\r\nOnce chosen, a button is not put back into the bag.\r\n\r\nThe first button is number 2.\r\n\r\nWhich of the following cannot happen?"},{"varval":"Once number 2 is picked, it cannot be\r picked again (no replacement).\n\n$\\therefore$ The third button cannot be 2."}]},{"vars":[{"varval":"Six buttons, numbered 1 to 6, are placed in a bag.\r\n\r\nBarney picks four buttons out of the bag without looking.\r\n\r\nOnce chosen, a button is not put back into the bag.\r\n\r\nThe first three buttons Barney chose, in order, are 5, 1 and 3.\r\n\r\nWhich of the following cannot happen?"},{"varval":"Once numbers 5, 3 and 1 are picked, they cannot be\r picked again (no replacement).\n\n$\\therefore$ The 4th button chosen cannot be odd $\\rightarrow$ only even numbers left."}]},{"vars":[{"varval":"Seven buttons, numbered 1 to 7, are placed in a bag.\r\n\r\nZac picks four buttons out of the bag without looking.\r\n\r\nOnce chosen, a button is not put back into the bag.\r\n\r\nThe first two buttons Zac chose are 6 and 2.\r\n\r\nWhich of the following cannot happen?"},{"varval":"Once numbers 6 and 2 are picked, they cannot be\r picked again (no replacement).\n\n$\\therefore$ The 3rd and 4th picks cannot both be even $\\rightarrow$ only one even number is left."}]}]

Probability, NAPX-D1-18 - b6471d27-ac9d-4ec7-8315-37d6ef3bf8d5 - (July 15, 2021)

SJ v1 - v5

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ricky has three boxes of balls.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2011-18mc.png 450 indent vpad\n\n<br>He picks one ball out of each box.\n\nWhich of these could be the balls he chooses?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Nicholas has three boxes of Christmas decorations.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/christmas-dec-box-min.svg 600 indent vpad\n\n<br>He picks one decoration out of each box.\n\nWhich of these could be the decorations he chooses?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The Grinch has three boxes of Christmas decorations.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/christmas-dec-box-min.svg 600 indent vpad\n\n<br>He picks one decoration out of each box.\n\nWhich of these could be the decorations he chooses?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Scarlett has three boxes of Christmas decorations.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/christmas-dec-box-min.svg 600 indent vpad\n\n<br>She picks one decoration out of each box.\n\nWhich of these could be the decorations she chooses?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Jett has organised his t-shirts into three colour groups as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/t-shirt-x-9a-min.svg 200 indent vpad\n\n<br>He picks one t-shirt from each group.\n\nWhich of these could be the t-shirts he chooses?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Norman has organised his t-shirts into three colour groups as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/t-shirt-x-9a-min.svg 200 indent vpad\n\n<br>He picks one t-shirt from each group.\n\nWhich of these could be the t-shirts he chooses?"},{"varval":"{{{correctAnswer}}}"}]}]

Probability, NAPX-F1-13 - 94204647-2fc7-4e8f-b17c-f8c45d740154 - (July 15, 2021)

<div class="sm_mode"> Which of these is more likely to have the spinner land on grey? </div>

[{"vars":[]}]

Probability, NAPX-p116547v01 - 8927536d-3e40-474f-8a45-e8eebcb189c4 - (July 15, 2021)

Probability, NAPX-J2-02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Shapes are drawn on the balls below and placed in a bag.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-02-v1.svg 300 indent vpad\n\nBilly reaches into the bag and takes out a ball without looking.\r\n\r\nWhich type of ball is he least likely to take out?"},{"varval":"Counting the balls of each type:\n\n<div class=\"sm_img_inline\">\n\n>6 $\\times$ \n\n>5 $\\times$ \n\n>3 $\\times$ \n\n>2 $\\times$ \n\n$\\therefore$ Least likely is \n\n</div>"}]},{"vars":[{"varval":"Shapes are drawn on the balls below and placed in a bag.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-02-v1.svg 350 indent vpad\n\nBigalow reaches into the bag and takes out a ball without looking.\r\n\r\nWhich type of ball is he most likely to take out?\n"},{"varval":"Counting the balls of each type\n\n<div class=\"sm_img_inline\">\n\n>6 $\\times$ \n\n>5 $\\times$ \n\n>3 $\\times$ \n\n>2 $\\times$ \n\n$\\therefore$ Most likely is \n\n</div>"}]}]

Measurement, NAPX-p124408v02 - aaab9862-2fdc-457a-a3ae-bb84ed628802 - (July 15, 2021)

Number, NAPX-I2-17

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jane made 4 patterns on a grid paper.\n\n\r\n\r\nWhich pattern has the most shading?"},{"varval":"Consider the shading on each option: \n\n\r\nOption 1: 10 squares + 2 triangles = 11 squares\n\n\r\nOption 2: 6 squares + 6 triangles = 9 squares\n\n\r\nOption 3: 6 squares + 8 triangles = 10 squares\n\n\r\nOption 4: 6 squares + 8 triangles = 10 squares\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-12a-v3.svg 140 indent vpad"}]},{"vars":[{"varval":"Sylvester painted squares white and grey on the grids pictured below.\n\n\r\n\r\nAll the squares in the grids are the same size.\n\n\r\n\r\nWhich grid has the largest area painted grey?"},{"varval":"16 squares painted grey is the most.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-17-v1c.svg 140 indent vpad"}]}]

Measurement, NAPX-p116876v03 - 861a843a-8fd3-40df-b000-b8f95a8e6550 - (July 15, 2021)

Measurement, NAPX-p116876v04 Measurement, NAPX-p116872v01 Measurement, NAPX-H2-10

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ella builds the shape below using identical small blocks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-TLA-5-v1.svg 180 indent3 vpad\n\n<br>What is the smallest number of blocks Ella needs to build a cube?\n"},{"varval":"The smallest cube will be 3 × 3 × 3\n\nExtra cubes needed (by row):\n\n\r\nBottom row = 2\n\n\r\n2nd row = 3\n\n\r\nTop row = 5\n\n\r\n$\\therefore$ {{{correctAnswer}}} blocks needed"}]},{"vars":[{"varval":"Flanno builds the shape below using identical small blocks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-TLA-5-v2.svg 200 indent2 vpad\n\n<br>What is the smallest number of blocks Flanno needs to build a cube?"},{"varval":"The smallest cube will be 3 × 3 × 3\n\nExtra cubes needed (by row):\n\n\r\nBottom row = 1\n\n\r\n2nd row = 5\n\n\r\nTop row = 7\n\n\r\n$\\therefore$ 13 blocks needed"}]},{"vars":[{"varval":"Xavier builds the shape below using identical small blocks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-10-v2.svg 200 indent2 vpad\n\n<br>What is the smallest number of blocks Xavier needs to build a cube?"},{"varval":"The smallest cube will be 3 × 3 × 3\n\nExtra cubes needed (by row):\n\n\r\nBottom row = 1\n\n\r\n2nd row = 5\n\n\r\n3rd row = 8\n\n\r\n$\\therefore$ Smallest number of blocks = {{{correctAnswer}}}"}]},{"vars":[{"varval":"This is a view of a solid made by stacking 24 identical cubes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-10-v1.svg 200 indent3 vpad\n\n<br>How many cubes are completely hidden in this view?"},{"varval":"Hidden cubes:\n\n\r\nBottom row = 6\n\n\r\n2nd row = 3\n\n\r\n3rd row = 1\n\n\r\n$\\therefore$ {{{correctAnswer}}} cubes are completely hidden."}]}]

Measurement, NAPX-G1-14 - a16958fe-9cfa-4e15-9525-126c2b43713f - (July 15, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Derek used pencils to measure his desk.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-G1-14-300x155.png 300 indent vpad\n\n<br>What is the total length of all four sides?"},{"varval":"sm_nogap Length of all 4 sides\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 6 + 3 + 6 + 3|\n|= {{{correctAnswer}}}|\n\n</div>"}]}]

Measurement, NAPX-D1-08 - fc664c19-84bb-41c7-8fc4-82deaf12917d - (July 15, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The shapes below are made up of identical squares.\n\nWhich shape covers the largest area?"},{"varval":"Option 1 has the greatest number of squares (10) and therefore the largest area.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"The shapes below are made up of identical squares.\n\nWhich shape covers the largest area?"},{"varval":"Option 3 has the greatest number of squares (16) and therefore the largest area.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"The shapes below are made up of identical squares.\n\nWhich shape covers the largest area?"},{"varval":"Option 2 has the greatest number of squares (12) and therefore the largest area.\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"The shapes below are made up of identical squares.\n\nWhich shape covers the largest area?"},{"varval":"Option 4 has the greatest number of squares (13) and therefore the largest area.\n\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"The shapes below are made up of identical squares.\n\nWhich shape covers the smallest area?"},{"varval":"Option 2 has the least number of squares (9) and therefore the smallest area.\n\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"The shapes below are made up of identical squares.\n\nWhich shape covers the smallest area?"},{"varval":"Option 3 has the least number of squares (9) and therefore the smallest area.\n\n{{{correctAnswer}}}"}]}]

Measurement, NAPX-K2-02 - 841678d1-f2aa-4383-a9a5-5dfa1551a07a - (July 15, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these holds about the same amount of water as a kettle?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these would hold about the same amount of water as a bucket?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/bucket-1-min.svg 150 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these would hold about the same amount as a cup of coffee?\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/coffee-1-min.svg 250 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these would hold about the same amount as a teaspoon?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/spoon-1.svg 150 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these would hold about the same amount as a can of drink?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/soda-1-min.svg 100 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these would hold about the same amount as a sandpit?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/sandpit-1-min.svg 280 indent2 vpad"},{"varval":"{{{correctAnswer}}}"}]}]

Algebra, NAPX-p169224v01 - e9f09699-2b44-48df-b8d7-ee3dda6ad604 - (July 15, 2021)

Algebra, NAPX-p169224v02 SJ v2-5

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A delivery company uses a formula to determine the cost of shipping different sizes of boxes.\r\n\r\n\nThe formula they use is as follows:\r\n\r\n\n>>Size of box = length + width + height\r\n\r\n\n<br>\n\nThe maximum size that can be shipped is 240 cm.\r\n\r\nWhich box is oversized?"},{"varval":"Check each option:\r\n\nOption 1 - 100 + 80 + 60 = 240\r\n\nOption 2 - 70 + 60 + 90 = 220\r\n\nOption 3 - 90 + 90 + 50 = 230\r\n\nOption 4 - 90 + 110 + 50 = 250 (Oversized)"}]},{"vars":[{"varval":"A company ships crates overseas and uses a formula for calculating the size and cost of shipping.\r\n\r\n\nThe formula is shown below:\r\n\r\n\n>>Size of crate = Length + Width + Height\r\n\r\n\n<br>\n\nThe maximum size of crates to be shipped overseas is 350 cm.\r\n\r\nWhich of the following crates is oversized?"},{"varval":"Check each option:\r\n\nOption 1 - 200 + 60 + 80 = 340\r\n\nOption 2 - 150 + 130 + 90 = 370 (Oversized)\r\n\nOption 3 - 160 + 100 + 70 = 330\r\n\nOption 4 - 130 + 120 + 100 = 350"}]},{"vars":[{"varval":"A furniture company uses a formula to determine the cost of shipping different sizes of furniture crates.\n\n\nThe formula they use is as follows:\n\n\n>>Size of box = length + width + height\n\n\n<br>\n\nThe maximum size that can be shipped is 640 cm.\n\nWhich crate is oversized?"},{"varval":"Check each option:\n\nOption 1 - 200 + 300 + 140 = 640\n\nOption 2 - 150 + 260 + 190 = 600\n\nOption 3 - 290 + 190 + 180 = 660 (Oversized)\n\nOption 4 - 130 + 270 + 210 = 610 "}]},{"vars":[{"varval":"Australia Post uses a formula to determine the cost of delivering boxes of different sizes.\n\n\nThe formula they use is as follows:\n\n\n>>Size of box = length + width + height\n\n\n<br>\n\nThe maximum size that can be shipped is 360 cm.\n\nWhich box is oversized?"},{"varval":"Check each option:\n\nOption 1 - 170 + 120 + 80 = 370 (Oversized)\n\nOption 2 - 250 + 30 + 30 = 310\n\nOption 3 - 140 + 140 + 60 = 340\n\nOption 4 - 190 + 110 + 60 = 360"}]},{"vars":[{"varval":"A delivery company uses a formula to determine the cost of shipping boxes of different sizes.\n\n\nThe formula they use is as follows:\n\n\n>>Size of box = length + width + height\n\n\n<br>\n\nThe maximum size that can be shipped is 580 cm.\n\nWhich box is oversized?"},{"varval":"Check each option:\n\nOption 1 - 220 + 240 + 90 = 550\n\nOption 2 - 370 + 80 + 130 = 580\n\nOption 3 - 20 + 250 + 300 = 570\n\nOption 4 - 160 + 180 + 250 = 590 (Oversized)"}]},{"vars":[{"varval":"A delivery company uses a formula to determine the cost of shipping crates of different sizes.\n\n\nThe formula they use is as follows:\n\n\n>>Size of box = length + width + height\n\n\n<br>\n\nThe maximum size that can be shipped is 425 cm.\n\nWhich box is oversized?"},{"varval":"Check each option:\n\nOption 1 - 165 + 85 + 160 = 410\n\nOption 2 - 205 + 90 + 130 = 425\n\nOption 3 - 195 + 105 + 130 = 430 (Oversized)\n\nOption 4 - 230 + 110 + 80 = 420"}]}]

Statistics, NAPX-p72862v02 - effe08c2-ea57-46fe-ba9c-4caddae52697 - (July 14, 2021)

Statistics, NAPX-p72862v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A group of students were asked what job they would like when they grow up.\r\n\r\nThe results are represented in the graph below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX7-22-2.svg 350 indent2 vpad\n\n<br>How many students were asked?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Students asked | \\= 5 + 6 + 4 + 7 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"There were different coloured new model cars in a car show.\r\n\r\nThe colours were represented in the graph below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX7-22-1.svg 350 indent2 vpad\n\n<br>How many new model cars were in the car show?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| New model cars | \\= 3 + 2 + 5 + 3 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

Statistics, NAPX-p116802v04 - 236c31dd-bca5-4c0e-8b63-23bfd8dffb81 - (July 14, 2021)

Statistics, NAPX-p116802v02 Statistics, NAPX-p116802v01 Statistics, NAPX-I2-14

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In a neighborhood 10 villagers were asked if how many pets they own.\r\n\r\nThe results were: 3, 2, 1, 1, 1, 4, 2, 4, 5, 2\r\n\r\nSelect the dot plot that displays the data recorded."},{"varval":"A dot represents the number of persons that owns N pets\r\n\nWriting the data in order:\r\n\n1, 1, 1, 2, 2, 2, 3, 4, 4, 5\n\n\n$\\therefore$ The correct dot plot is:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q28-a.svg 200 indent2 vpad"}]},{"vars":[{"varval":"Ten school children were asked how many times they went to the beach last month.\r\n\r\nTheir answers were: 5, 3, 0, 2, 0, 1, 5, 5, 4, 1\r\n\r\nWhich of the dot plots below correctly displays the data​?"},{"varval":"Writing the data in order:\r\n\n0, 0, 1, 1, 2, 3, 4, 5, 5, 5\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-14-v3c.svg 150 indent2 vpad"}]},{"vars":[{"varval":"Nine school children were asked how many brothers and sisters they have in their family.\r\n\r\nTheir answers were: 1, 1, 3, 0, 4, 2, 2, 1, 0\r\n\r\nWhich of the dot plots below correctly displays the data​?"},{"varval":"Writing the data in order:\r\n\n0, 0, 1, 1, 1, 2, 2, 3, 4\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-14-v2b.svg 120 indent2 vpad"}]},{"vars":[{"varval":"Writing the data in order:\r\n\n0, 0, 1, 2, 2, 2, 3, 3, 4, 5\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-14-v1d.svg 140 indent2 vpad"},{"varval":"Ten school children were asked how many sick days they had off school last month.\r\n\r\nTheir answers were: 0, 3, 2, 2, 1, 5, 3, 4, 2, 0\r\n\r\nWhich of the dot plots below correctly displays the data"}]}]

Statistics, NAPX-p116609v03 - 2b4ddc98-3dd3-40eb-80b4-83faa9e5e0cb - (July 14, 2021)

Statistics, NAPX-I2-02 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In a school, a group of students were given a list of 4 subjects and asked to pick their favourite.\r\n\r\nA table of their responses is shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/NAPX-p116609v03-SA.png 490 indent2 vpad\n\n<br>How many students were asked this question altogether?"},{"varval":"Mathematics = 5 + 5 + 5 + 2 = 17\r\n\nScience = 5 + 5 = 10\r\n\nEnglish = 5 + 1 = 6\r\n\nHistory = 5 + 5 + 1 = 11\r\n\n<br>\n\n$\\therefore$ Total = 17 + 10 + 6 + 11 = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"Over one hour, Cher recorded the colour of all cars that drove past her school for a class project.\r\n\r\nThe results were recorded in the table below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-02-SA-v1.svg 280 indent vpad\n\nHow many cars drove past Cher's school in the hour?"},{"varval":"sm_nogap Number of cars\n\n<div class=\"aligned\">\r\n\r\n>> | |\r\n| ---------- |\r\n| \\= 7 + 17 + 13 + 6 |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Demeter records the number of items she recycles in one week.\r\n\r\nThe tally table shows Demeter's results.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/STATISTICS-NAPX-K2-04v1-SA-table2.svg 280 indent2 vpad\n\n<br>How many items does Demeter recycle in total?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total items | \\= 4 + 2 + 7 + 17 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Nellie records the number of items she recycles in one week.\n\nThe tally table shows Nellie's results.\n\r\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/STATISTICS-NAPX-K2-04v1-SA-table-1.svg 280 indent2 vpad\n\n<br>How many items does Nellie recycle in total?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total items | \\= 7 + 13 + 2 + 5 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Sharnie records the number of items she recycles in one week.\r\n\r\nThe tally table shows Sharnie's results.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-04v1.svg 280 indent vpad\n\n<br>How many items does Sharnie recycle in total?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total items \t | \\= 9 + 12 + 3 + 1 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]}]

Statistics, NAPX-p121677v01 - 64bf931f-32e9-4436-ba51-abc0d8c006ff - (July 14, 2021)

Removed repeated sentence. Added categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Bruno is in Year 5. He wants to know the most popular colour for boys in Year 5.\r\n\r\nWhich of these would best help Bruno to solve this problem?"},{"varval":"The best data will come from Year 5 boys.\n\n$\\therefore$ He should ask all the Year 5 boys.\n"}]}]

Statistics, NAPX-J2-04 - 2665e441-019c-4e62-9836-9b3f574c8e62 - (July 14, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Four friends were asked what pets they owned.\n\n<br>\n\n<div class=\"sm-table col1-color8 row1-color8 top-left-cell-hidden\">\n\n>>| | dog | cat | horse | goldfish | budgie|turtle|\n|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n| Chandler | $\\checkmark$| $\\checkmark$|$\\checkmark$|$\\checkmark$|||\n| Ross | $\\checkmark$| $\\checkmark$|$\\checkmark$||||\n| Phoebe | $\\checkmark$| ||$\\checkmark$|$\\checkmark$|$\\checkmark$|\n| Monica | | $\\checkmark$||$\\checkmark$|$\\checkmark$||\n\n</div>\n\n\n<br>Who had both a cat and a budgie as pets?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Four friends were asked what pets they owned.\n\n<br>\n\n<div class=\"sm-table col1-color2 row1-color2 top-left-cell-hidden\">\n\n>>| | dog | cat | horse | goldfish | budgie|turtle|\n|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n| Marcus | $\\checkmark$| $\\checkmark$|$\\checkmark$|$\\checkmark$|||\n| Brett | $\\checkmark$| $\\checkmark$|$\\checkmark$||||\n| Raine | $\\checkmark$| ||$\\checkmark$|$\\checkmark$|$\\checkmark$|\n| Mila | | $\\checkmark$||$\\checkmark$|$\\checkmark$||\n\n</div>\n\n\n<br>Who had both a dog and a turtle as pets?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Four friends were asked what rides they went on at Luna Park.\n\n<br>\n\n<div class=\"sm-table col1-color5 row1-color5 top-left-cell-hidden\">\n\n>>| | Dodgem cars | Tango Train | Hair Raiser | Wild Mouse | Ferris Wheel|turtle|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Chris |$\\checkmark$| $\\checkmark$||$\\checkmark$|| \n| Bluey | $\\checkmark$| $\\checkmark$|$\\checkmark$|||\n| Penny | $\\checkmark$||||$\\checkmark$|\n| Jules | | $\\checkmark$|$\\checkmark$|$\\checkmark$||\n\n</div>\n\n\n<br>Who went on both the Dodgem Cars and the Wild Mouse?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Four workers recorded the days they worked last week.\n\n<br>\n\n<div class=\"sm-table col1-color4 row1-color4 top-left-cell-hidden\">\n\n>>| | Monday | Tuesday | Wednesday | Thursday | Friday|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Booth | | $\\checkmark$|$\\checkmark$|$\\checkmark$||\n| TJ | $\\checkmark$| $\\checkmark$||||\n| James | $\\checkmark$| |$\\checkmark$|$\\checkmark$|$\\checkmark$|\n| Harry | | |$\\checkmark$|$\\checkmark$||\n\n</div>\n\n\n<br>Who worked both Monday and Wednesday last week?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Four friends were asked what sports they watch on TV.\n\n<br>\n\n<div class=\"sm-table col1-color1 row1-color1 top-left-cell-hidden\">\n\n>>| | AFL | Tennis | Golf | Netball | \n|:-:|:-:|:-:|:-:|:-:|\n| Greg | $\\checkmark$| |$\\checkmark$|$\\checkmark$|\n| Annie | $\\checkmark$||$\\checkmark$||\n| Maree | $\\checkmark$|$\\checkmark$||$\\checkmark$|\n| Carl | | $\\checkmark$||$\\checkmark$|\n\n</div>\n\n<br>Which friend watches Netball but **not** tennis?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Four friends were asked what sports they played.\n\n<br>\n\n<div class=\"sm-table col1-color7 row1-color7 top-left-cell-hidden\">\n\n>>| | Football | Netball | Baseball | Basketball | \n|:-:|:-:|:-:|:-:|:-:|\n| Ricky || |$\\checkmark$|$\\checkmark$|\n| Ross | | $\\checkmark$|$\\checkmark$||\n| Maryanne | $\\checkmark$| ||$\\checkmark$|\n| Mikaila| | $\\checkmark$||$\\checkmark$|\n\n</div>\n\n\n<br>Which sport do both Ricky and Ross play?\n"},{"varval":"{{{correctAnswer}}}"}]}]

Statistics, NAPX-H2-02 - d36e93af-eb80-44a9-b30b-c12d57462fcb - (July 14, 2021)

<div class="sm_mode"> Ziggy threw darts at the board below. He hit the board with every throw. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/03/naplan-Y5-2015-2mca.png 200 indent vpad <br>He recorded each time he hit a colour in the table below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-02-v1.svg 250 indent vpad <br>How many darts did Ziggy throw in total? </div>

[{"vars":null}]

Probability, NAPX-p121546v01 - 49a8f5af-e1cf-4245-8a1b-dbc7da87e67d - (July 14, 2021)

<div class="sm_mode"> Seven buttons, numbered 1 to 7, are placed in a bag. Shelley picks four buttons out of the bag without looking and without replacement. The first button is number 6. Which of the following cannot happen? </div>

[{"vars":null}]

Statistics, NAPX-K2-06 v1 - 75cb1d2a-6684-4694-a64a-521419b64478 - (July 14, 2021)

Statistics, NAPX-K2-06

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table shows the time (in seconds) some children can run 100 meters.\n\n<br>\n\n<div class=\"outline color7\">\n\n>> | Name | Time (seconds) |\n> | :-----------: | :----------: |\n> | Rog | 18 |\n> | Ty | 19 |\n> | Ian | 20 |\n> | Sue | 13 |\n\n</div>\n\n<br>\n\nWhich column graph correctly shows the data in the table?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The table shows the time (in seconds) some children can run across a football field.\r\n\n<br>\n\n<div class=\"outline color4\">\n\n>> | Name | Time (seconds) |\n> | :-----------: | :----------: |\n> | Di | 16 |\n> | Meg | 12 |\n> | Ian | 17 |\n> | Pip | 14 |\n\n</div>\n\n<br>Which column graph correctly shows the data in the table?"},{"varval":"{{{correctAnswer}}}"}]}]

Algebra, NAPX-p116562v01 - b74ffd1d-204e-4173-82f6-08fc02823379 - (July 14, 2021)

<div class="sm_mode"> Kris has these candy canes. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-03-v2.svg 400 indent vpad <br>He gives half of them to his friend Jasper. How many candy canes does Jasper get? </div>

[{"vars":[]}]

Algebra, NAPX-p116602v02 - 3eba59f2-e59e-4828-b8b1-a5c929835f7b - (July 14, 2021)

Number, NAPX-p116602v03 Algebra, NAPX-p116602v01 Algebra, NAPX-p116602v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\r\nJordan lives in Perth and receives 10 cents for every glass bottle she recycles at the depot.\r\n\r\nJordan takes 33 glass bottles to the depot.\r\n\r\nHow much money will she receive?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| 33 $\\times$ 10¢ | \\= 330¢ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"George wants to make doughnuts that cost him 10 cents to make each.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q2.svg 300 indent vpad\n\nIf he makes 28 of these donuts, how much will it cost him?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Total money earned | \\= 28 $\\times$ 10 cents |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Karl recycles the plastic bottles his family use and receives 10 cents for each bottle he recycles.\r\n\r\nLast month, he collected 43 plastic bottles.\r\n\r\nHow much will he receive?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| 43 $\\times$ 10¢ | \\= 430¢ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Arnie recycles aluminum cans and receives 10 cents per can at the local recycling depot.\r\n\r\nArnie has collected 84 aluminum cans.\r\n\r\nHow much will he receive from the depot?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| 84 $\\times$ 10¢ | \\= 840¢ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"May sells buttons at the local market and receives 10 cents per button.\n\nLast week may sold 56 buttons.\n\nHow much will she receive from her button sales?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 56 $\\times$ 10¢ | \\= 560¢ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Jewel makes 10 cents profit for every jar of jam she sells at her market stall.\n\nLast week may sold 92 jars of jam.\n\nHow much will Jewel receive from her jam sales?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------- | ---------- |\n| 92 $\\times$ 10¢ | \\= 920¢ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]}]

Algebra, NAPX-p122115v03 - 272d2e46-a05a-41d6-9faa-484889d7839e - (July 13, 2021)

Algebra, NAPX-p122115v02 Algebra, NAPX-p122115v01 Added categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Calvin had 72 coloured pencils.\r\n\r\nHe lined them up so there are 8 pencils in each row.\r\n\r\nHow many rows are there?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of rows | \\= 72 $\\div$ 8 |\r\n| | \\= 9 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Vivian had 54 cricket balls.\r\n\r\nHis club had 6 cricket teams.\r\n\r\nHe gave the same number of balls to each team.\r\n\r\nHow many balls did each team receive?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of rows | \\= 54 $\\div$ 6 |\r\n| | \\= 9 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Pablo caught 56 blowfish.\r\n\r\nHe lined them up in rows so there were 7 blowfish in each row.\r\n\r\nHow many rows are there?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of rows | \\= 56 $\\div$ 7 |\r\n| | \\= 8 |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-H2-16 - 7396c5f6-fed4-474d-923d-3b19a85695ed - (July 13, 2021)

SJ v2-v5 Multiply/divide

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Aditi had 78 blocks.\r\n\r\nShe built identical shapes that were made up of 15 blocks each.\r\n\r\nShe had 3 blocks left over.\r\n\r\nHow many shapes did Aditi make?"},{"varval":"Strategy 1\n\n2 shapes = 30 blocks\n\n4 shapes = 60 blocks\n\n5 shapes = 60 + 15 = 75 (3 blocks left)\n\n<br>\n\nStrategy 2\n\n78 $\\div$ 15 = 5 remainder 3\r\n\n$\\therefore$ Aditi made 5 shapes."}]},{"vars":[{"varval":"Godiva made 83 chocolates.\r\n\r\nShe placed them in boxes of 7 chocolates.\r\n\r\nWhat is the maximum number of boxes she can fill up?"},{"varval":"sm_nogap Boxes that can be filled\r\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| | \\= 83 $\\div$ 7 |\r\n| | \\= 11 remainder 6 |\r\n\r\n</div>\r\n\r\n\n<br>\n\n\r\n\r\n$\\therefore$ Godiva can fill up 11 boxes."}]},{"vars":[{"varval":"Lecretia had 92 sweets for Halloween.\n\nShe put them into bags containing 11 sweets each.\n\nShe had 4 sweets left over.\n\nHow many bags did Lecretia fill?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------: | ---------- |\n|Sweets that fit in the full bags | \\= 92 - 4 = 88 |\n|Number of bags|= 88 $\\div$ 11|\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\n$\\therefore$ Lecretia can fill up {{{correctAnswer}}} bags."}]},{"vars":[{"varval":"Danielle had 35 litres of milk.\n\nShe poured the milk into bottles, each with a capacity of 4 litres.\n\nShe had 3 litres left over.\n\nHow many bottles did Danielle fill?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------: | ---------- |\n|Milk that fits into the full bottles | \\= 35 - 3 = 32 |\n|Number of bottles|= 32 $\\div$ 4|\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\n$\\therefore$ Danielle can fill up {{{correctAnswer}}} bottles."}]},{"vars":[{"varval":"Bonn had 50 guitar strings.\n\nHe packaged them in bags, each containing 6 strings.\n\nHe had 2 strings left over.\n\nHow many bags did Bonn fill?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------: | ---------- |\n|Strings that fit into the full bags | \\= 50 - 2 = 48 |\n|Number of bags|= 48 $\\div$ 6|\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\n$\\therefore$ Bonn can fill up {{{correctAnswer}}} bags."}]},{"vars":[{"varval":"Merlin had 57 eggs.\n\nHe packed them into cartons, each of which held 6 eggs.\n\nHe had 3 eggs left over.\n\nHow many cartons did Merlin fill?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------: | ---------- |\n|Eggs that fit in the full cartons | \\= 57 - 3 = 54 |\n|Number of cartons|= 54 $\\div$ 6|\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n<br>\n\n$\\therefore$ Merlin can fill up {{{correctAnswer}}} cartons."}]}]

Algebra, NAPX-p116672v03 - 0884196c-8b1b-4ed3-8222-d7d708dcbd47 - (July 13, 2021)

Algebra, NAPX-p116672v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Rudy uses the number sentence 24 – 6 = 18\r\n\r\nWhich of the following problems can he solve with this number sentence?"},{"varval":"Rudy has 24 slices of cake and gave 6 slices to his friends. \r\n\nExpressing this as an equation:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Slices Rudy has left\t | \\= 24 − 6 |\r\n| 18 | \\= 24 − 6 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Shawn uses the number sentence 20 $\\times$ 6 = 120\r\n\r\nWhich of the following problems can he solve with this number sentence?"},{"varval":"Shawn has 20 nephews and gives 6 toys to each one.\r\n\nExpressing this as an equation:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Total toys to nephews | \\= 20 $\\times$ 6 |\r\n| 120 | \\= 20 $\\times$ 6 |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-I2-40 SA - c123c451-c2d3-4e51-b559-53d9aa2ca065 - (July 13, 2021)

<div class="sm_mode"> There are 56 students in year 7 at a school. Every student is either right-handed or left-handed. There are 6 times more right-handers than left-handers. How many left handers are there in Year 7? </div>

[{"vars":null}]

Algebra, NAPX-p116562v01 - e71287b0-32fd-4870-b3c4-a5bb89277b74 - (July 13, 2021)

Added detail to the question. Added categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Tom bought these apples.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2009-16mc.png 350 indent vpad\n\nHe put a quarter of the apples in his fridge.\r\n\r\nHow many apples did Tom put in his fridge?\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total apples \t | \\= 3 $\\times$ 8 |\r\n| | \\= 24 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\Rarr$ Apples put in fridge | \\= $\\dfrac{1}{4} \\ \\times\\ 24$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-I2-36 SA - 40e9f72b-94b1-4860-8c3b-4bf8b24716c8 - (July 13, 2021)

GAP-644-675

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A group of 8 friends are planning a trip to Leyland Brothers World.\n\nLunch will cost $7 per person.\n\nEntry will cost $13 per person.\n\nHiring a bus for transport will cost $180 for the whole group.\n\nWhat is the expected total cost of the trip for the whole group?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ---------------- | ----------------------------- |\n| Lunch/entry cost | \\= 8 $\\times$ (7 + 13) = $160 |\n| Bus hire | \\= $180 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| ----------------------- | ------------------------------------ |\n| $\\therefore$ Total Cost | \\= 160 + 180 |\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\n\n\n\n</div>"}]},{"vars":[{"varval":"A school is organising a science excursion to Crystalview Observatory.\r\n\r\nA worksheet pack costs $6 per student.\r\n\r\nEntry costs $12 per student.\r\n\r\nHiring a bus costs $150 for the whole school group of 8 students.\r\n\r\nWhat is the total expected cost of the excursion?"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------- | ------------------------------- |\r\n| Worksheet/entry cost | \\= 8 $\\times$ (6 + 12) = $144 |\r\n| Bus hire | \\= $150 |\r\n\n</div>\r\n<br>\r\n\n<div class=\"aligned\">\r\n\n| | |\r\n| ----------------------- | ------------------------------------ |\r\n| $\\therefore$ Total Cost | \\= 144 + 150 |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\n</div>"}]},{"vars":[{"varval":"A community club is running a day program at Harborview Aquatic Centre.\n\n\r\nA snack pack costs $5 per participant.\n\n\r\nEntry costs $15 per participant.\n\n\r\nA coach is hired for $160 for the whole group of 9 participants.\n\n\r\nWhat is the total expected cost for the whole group?"},{"varval":"<div class=\"aligned\">\n\n\r\n| | |\r\n| ----------------------- | ------------------------------- |\r\n| Snack/entry cost | \\= 9 $\\times$ (5 + 15) = $180 |\r\n| Coach hire | \\= $160 |\r\n\n</div>\r\n<br>\r\n\n<div class=\"aligned\">\r\n\n| | |\r\n| ----------------------- | ------------------------------------ |\r\n| $\\therefore$ Total Cost | \\= 180 + 160 |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\n</div>"}]},{"vars":[{"varval":"A sporting team is travelling to compete at Ridgeline Sports Complex.\n\n\r\nA meal costs $9 per player.\n\n\r\nAn entry fee costs $11 per player.\n\n\r\nA minibus is hired for $175 for the whole team of 10 players.\n\n\r\nWhat is the total expected cost for the whole team?"},{"varval":"<div class=\"aligned\">\n\n\r\n| | |\r\n| ----------------------- | -------------------------------- |\r\n| Meal/entry cost | \\= 10 $\\times$ (9 + 11) = $200 |\r\n| Minibus hire | \\= $175 |\r\n\n</div>\r\n<br>\r\n\n<div class=\"aligned\">\r\n\n| | |\r\n| ----------------------- | ------------------------------------ |\r\n| $\\therefore$ Total Cost | \\= 200 + 175 |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\n</div>"}]},{"vars":[{"varval":"A family reunion is being held at Ferndale Heritage Park.\n\n\r\nA lunch pack costs $8 per person.\n\n\r\nEntry costs $14 per person.\n\n\r\nA bus is hired for $200 for the whole family group of 11 people.\n\n\r\nWhat is the total expected cost for the whole group?"},{"varval":"<div class=\"aligned\">\n\n\r\n| | |\r\n| ----------------------- | -------------------------------- |\r\n| Lunch/entry cost | \\= 11 $\\times$ (8 + 14) = $242 |\r\n| Bus hire | \\= $200 |\r\n\n</div>\r\n<br>\r\n\n<div class=\"aligned\">\r\n\n| | |\r\n| ----------------------- | ------------------------------------ |\r\n| $\\therefore$ Total Cost | \\= 242 + 200 |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\n</div>"}]},{"vars":[{"varval":"A youth group is attending a workshop at Sandstone Learning Centre.\n\n\r\nA materials kit costs $7 per person.\n\n\r\nEntry costs $13 per person.\n\n\r\nA coach is hired for $220 for the whole group of 12 people.\n\n\r\nWhat is the total expected cost for the whole group?"},{"varval":"<div class=\"aligned\">\n\n\r\n| | |\r\n| ----------------------- | -------------------------------- |\r\n| Materials/entry cost | \\= 12 $\\times$ (7 + 13) = $240 |\r\n| Coach hire | \\= $220 |\r\n\n</div>\r\n<br>\r\n\n<div class=\"aligned\">\r\n\n| | |\r\n| ----------------------- | ------------------------------------ |\r\n| $\\therefore$ Total Cost | \\= 240 + 220 |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\n</div>"}]}]

Algebra, NAPX-K2-38 - a67bba12-2ae0-4865-9023-bacdd48362cb - (July 13, 2021)

<div class="sm_mode"> Gillian has 84 brochures to give out at a conference. She puts an equal number of brochures onto each table at the conference and has none left over. Select the option that shows the number of tables that could not be at the conference. </div>

[{"vars":null}]

Algebra, NAPX-G2-31 SA - df1f231b-9bf9-4a65-a7a8-02fd4b80973e - (July 13, 2021)

<div class="sm_mode"> Heston used 500 grams of sugar to make 16 cookies. How many grams of sugar will he need to make 24 cookies? </div>

[{"vars":null}]

Number, NAPX-p72911v01 - 96b781b5-6cef-40d8-b8c2-2c57dfc9b3ab - (July 13, 2021)

Algebra, NAPX-p72911v02 Number, NAPX-I3-NC14, NAPX-I2-30

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Patrick earns money by doing some part time jobs.\r\n\r\nFor each job he completes he earns $2.00\r\n\r\nHe records the number of jobs he does in a week using the table below.\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-30-1.png 380 indent vpad\n\n<br>If Patrick does the same jobs for two weeks, how much money will he earn altogether?"},{"varval":"sm_nogap Total jobs in 1 week\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ------------- | ---------- |\r\n| \\= 4 + 5 + 8 |\r\n| \\= 17 |\r\n\r\n</div>\n\n\nsm_nogap $\\therefore$ Money earned in 2 weeks\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ------------- | ---------- |\r\n| \\= 2 $\\times$ (17 $\\times$ 2) |\r\n| \\= 2 $\\times$ 34 |\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"John donates money to 4 different charities.\r\n\r\nHe gives $5 each time he donates.\r\n\r\nHe records the number of donations he makes in a month using the table below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX5-30-2-768x277.png 390 indent2 vpad\n\n<br>If John makes the same number of donations for 2 months in a row, how much money will he donate altogether?"},{"varval":"sm_nogap Total number of donations in 1 month\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ------------- | ---------- |\r\n| \\= 5 + 6 + 2 + 3 |\r\n| \\= 16 |\r\n\r\n</div>\n\n\nsm_nogap $\\therefore$ Money donated in 2 months\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ------------- | ---------- |\r\n| \\= 2 $\\times$ (16 $\\times$ 5) |\r\n| \\= 2 $\\times$ 80 |\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Mia does odd jobs around the house to earn pocket money.\r\n\r\nShe gets $4 per job.\r\n\r\nThe table below shows all the jobs she did in one week.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-NC14.svg 200 indent3 vpad\n\n<br>If Mia does the same jobs for two weeks, how much money will she earn altogether?"},{"varval":"sm_nogap Total jobs in 1 week\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ------------- | ---------- |\r\n| \\= 6 + 4 + 3 |\r\n| \\= 13 |\r\n\r\n</div>\n\n\n\nsm_nogap $\\therefore$ Money earned in 2 weeks\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ------------- | ---------- |\r\n| \\= 2 $\\times$ 13 $\\times$ 4 |\r\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-p123314v01 - 207aace6-ac13-4cec-8fe1-b69fff212a40 - (July 13, 2021)

<div class="sm_mode"> Bonnie earned $4 each time she fed her neighbour's horses when they were on holidays. In Summer, she fed the horses 7 times each week for 4 weeks in a row. How much money did Bonnie earn during this time? </div>

[{"vars":null}]

Algebra, NAPX-I2-32 - 065b1d38-9192-457e-868d-b37f677ffdab - (July 13, 2021)

<div class="sm_mode"> Olivia had a bag of 37 lollipops. She gave an equal number of lollipops to 7 of her friends and kept the rest for herself. If her friends were given the highest number of lollipops possible, how many did Olivia keep for herself? </div>

[{"vars":[]}]

Algebra, NAPX-p122115v01 - 971807bf-86e9-4e73-8d77-d68b3b15fc3e - (July 13, 2021)

Algebra, NAPX-p122115v02 Algebra, NAPX-p122115v03

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Pablo caught 56 blowfish.\r\n\r\nHe lined them up in rows so there were 7 blowfish in each row.\r\n\r\nHow many rows are there?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of rows | \\= 56 $\\div$ 7 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Vivian had 54 cricket balls.\r\n\r\nHis club had 6 cricket teams.\r\n\r\nHe gave the same number of balls to each team.\r\n\r\nHow many balls did each team receive?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of rows | \\= 54 $\\div$ 6 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Calvin had 72 coloured pencils.\r\n\r\nHe lined them up so there are 8 pencils in each row.\r\n\r\nHow many rows are there?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of rows | \\= 72 $\\div$ 8 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-p123670v01 - 2ad72796-0900-4b65-ad24-fa9f542bdece - (July 13, 2021)

Algebra, NAPX-K2-34

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Torvil has 18 scarves.\r\n\r\nDean has 5 less scarves than Torvil.\r\n\r\nWhich of these shows how to work out the total number of scarves they have altogether?"},{"varval":"Torvil's scarves = 18\r\n\nDean's scarves = 18 − 5\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total scarves | \\= 18 + 18 − 5 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Bilbo has 14 rings.\r\n\r\nGandalf has 7 more rings than Bilbo.\r\n\r\nWhich of these shows how to work out the total number of rings they have altogether?"},{"varval":"Bilbo's rings = 14\r\n\nGandalf's rings = 14 + 7\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total rings | \\= 14 + 14 + 7 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Bailey has saved $54.\r\n\r\nLogan has saved $8 more than Bailey.\r\n\r\nWhich of these shows how to work out the total savings they have altogether?"},{"varval":"Bailey's savings = $54\r\n\nLogan's savings = $54 + $8\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total savings | \\= 54 + 54 + 8 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Rachel has knitted 15 soft toys for charity.\r\n\r\nCharli has knitted 4 soft toys less than Rachel.\r\n\r\nWhich of these shows how to work out the total number of soft toys they have knitted altogether?"},{"varval":"Rachel's soft toys = 15\r\n\nCharli's soft toys = 15 − 4\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total soft toys | \\= 15 + 15 − 4 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Gayle collected 34 eggs from her chickens yesterday.\r\n\r\nToday Gayle collected 8 more eggs than yesterday.\r\n\r\nWhich of these shows how to work out the total number of eggs Gayle collected altogether?"},{"varval":"Yesterday's eggs = 34\r\n\nToday's eggs = 34 + 8\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total eggs | \\= 34 + 34 + 8 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Samantha baked 90 cupcakes today.\r\n\r\nYesterday she baked 24 more cupcakes than today.\r\n\r\nWhich of these shows how to work out the total number of cupcakes Samantha has baked altogether?"},{"varval":"Today's cupcakes = 90\r\n\nYesterday's cupcakes = 90 + 24\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total cupcakes | \\= 90 + 90 + 24 |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-p124657v01 - afe91030-c95a-4034-bb60-3556f34327e0 - (July 13, 2021)

Algebra, NAPX-G2-27 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\n| 400 | \\= 80 $\\times$ <span class=\"sm_box\"> ` ` ` ` </span> |\r\n| | |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= $\\dfrac{400}{80}$ |\n| | |\n| | \\= $\\dfrac{4 \\times 10 \\times 10}{2 \\times 4 \\times 10}$ |\r\n| | \\= 5 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Complete the number sentence"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 300 | \\= 60 $\\times$ <span class=\"sm_box\"> ` ` ` ` </span> |\r\n| | |\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= $\\dfrac{300}{60}$ |\n| | |\n| | \\= $\\dfrac{3 \\times 10 \\times 10}{3 \\times 10 \\times 2}$ |\r\n| | \\= 5 |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-p124011v02 - 7229627a-d391-4fa9-b06a-9a1c496b56af - (July 13, 2021)

Algebra, NAPX-p124011v01 Algebra, NAPX-J2-30

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Seamus uses the number sentence 7 × 14 = 98 to solve a problem.\r\n\r\nWhich of the following could be the problem?"},{"varval":"14 nerf guns $\\times$ $7 per gun = $98\r\n \r\n\r\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"Lelei uses the number sentence 6 × 42 = 252 to solve a problem.\r\n\r\nWhich of the following could be the problem?"},{"varval":"42 shirts × $6 per shirt = $252\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"Dimitry uses the number sentence 32 × 8 = 256 to solve a problem.\r\n\r\nWhich of the following could be the problem?"},{"varval":"8 ties × $32 per tie = $256\n\n$\\therefore$ {{{correctAnswer}}}"}]}]

Algebra, NAPX-p122508v02 - 88fd10f5-e570-4f62-8dfc-91faf19efce4 - (July 13, 2021)

Algebra, NAPX-K2-20

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"On Thursday, Sandra went to the doctor and was given 21 tablets.\r\n\r\nSandra was to take 5 tablets each day starting from Thursday.\r\n\r\nOn which day did she take the last tablet?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of days | \\= 21 $\\div$ 5|\r\n| | \\= 4 remainder 1 |\r\n\r\n</div>\r\n\n<br>\n\n$\\Rarr$ Last tablet taken on the 5th day.\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"On Tuesday, Dinesh went to the doctor and was given 28 tablets.\r\n\r\nDinesh was to take 6 tablets each day starting from Tuesday.\r\n\r\nOn which day did Dinesh take the last tablet?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of days | \\= 28 $\\div$ 6|\r\n| | \\= 4 remainder 4 |\r\n\r\n</div>\r\n\n<br>\n\n$\\Rarr$ Last tablet taken on the 5th day.\n\n$\\therefore$ {{{correctAnswer}}}"}]}]

Algebra, NAPX-B1-16 SA - b30a082c-e4fe-4a98-941e-1ad353f44249 - (July 13, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2009-16mc.png 400 indent vpad\n\nJoe put half of the apples in his fridge.\r\n\r\nHow many apples did Joe put in his fridge?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Total apples | \\= 3 $\\times$ 8 |\r\n| | \\= 24 |\r\n\r\n</div>\n\n\r\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\Rarr$ Apples put in fridge | \\= $\\dfrac{1}{2} \\ \\times 24$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Jonah's soccer team got oranges at half time.\r\n\r\nThe quarters of oranges were put in a container.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-G1-15.png 350 indent vpad\n\n<br>How many whole oranges were cut into quarters and put in the container?"},{"varval":"There are 16 orange quarters in the container.\r\n\n$\\Rarr$ Each orange is cut into 4 quarters.\r\n\n$\\therefore$ 4 full oranges are needed."}]}]

Measurement, NAPX-p169867v02 - 8a854de5-d467-48aa-8e3f-515bf1f6ad95 - (July 13, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Emily walks for 17 minutes to get from her house to Diamond Station.\n\n\r\n\r\nShe then travels by train to Ruby Station.\n\n\r\n\r\nEmily then walks 21 minutes to the supermarket where she works.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/p169867v02-768x240.png 400 indent vpad\n\nIf Emily's shift starts at 6:30, what is the latest time she can leave home to arrive on time?"},{"varval":"Working backwards from arriving at the supermarket at 6:30\n\n\r\n6:30 less 21 minutes walking = 6:09\n\n\r\n1st train to arrive before 6:09 leaves Diamond Station at 5:55\n\n\r\n5:55 less than 17 minutes walking = 5:38\n\n\r\n$\\therefore$ Emily must leave her house by 5:38."}]},{"vars":[{"varval":"It takes Terry 32 minutes to walk from his home to Train Station A.\n\nHe then travels by train to Station C.\n\n\r\nTerry then walks to an amusement park which takes him 18 minutes.\n\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/p169867v01-300x109.png 300 indent vpad\n\nWhat is the latest time that Terry can leave his home to arrive at the amusement park by 5:00?"},{"varval":"Working backwards from arriving at the amusement park at 5:00\n\n\r\n5:00 less 18 minutes walking = 4:42\n\n\r\n1st train to arrive before 4:42 leaves Station A at 3:40\n\n\r\n3:40 less than 32 minutes walking = 3:08\n\n\r\n$\\therefore$ Terry must leave his house by 3:08."}]}]

Measurement, NAPX-K2-40 - 35ce8ac1-3c51-4812-ad3c-bd283beef99c - (July 13, 2021)

I can't find anything wrong with this question. I have done 4 more variants and added staging_suejones in the categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Valerie looked at the calendar on the 23rd of March.\n\n\r\n\r\nShe plans to go to the theatre on the 15th of April and circled this on the calendar below.\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-40.svg 200 indent vpad\n\nWhat day of the week is the 23rd of March?"},{"varval":"Working backwards:\n\n\r\n1 April → Tuesday (from calendar)\n\n\r\n31 March → Monday (31 days in March)\n\n\r\n24 March → Monday \r\n \r\n\r\n$\\therefore$ 23 March is a {{{correctAnswer}}}"}]},{"vars":[{"varval":"Ben looked at the calendar on the 18th of March.\n\n\r\n\r\nHe plans to go to a midweek football game on the 15th of April and circled this on the calendar below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-40.svg 200 indent vpad\n\nWhat day of the week is the 18th of March?"},{"varval":"Working backwards:\n\n\r\n1 April → Tuesday (from calendar)\n\n\r\n31 March → Monday (31 days in March)\n\n\r\n24 March → Monday \n\r\n \r\n\r\n17 March → Monday \n\n$\\therefore$ 18 March is a {{{correctAnswer}}}"}]},{"vars":[{"varval":"Margaret looked at the calendar on the 10th of March.\n\n\r\n\r\nShe has an appointment with the doctor on the 15th of April and circled this on the calendar below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-40.svg 200 indent vpad\n\nWhat day of the week is the 10th of March?"},{"varval":"Working backwards:\n\n\r\n1 April → Tuesday (from calendar)\n\n\r\n31 March → Monday (31 days in March)\n\n\r\n24 March → Monday \n\r\n \r\n\r\n17 March → Monday \n\n$\\therefore$ 10 March is a {{{correctAnswer}}}"}]},{"vars":[{"varval":"Michael looked at the calendar on the 1st of March.\n\n\r\n\r\nHe has booked a flight to Queensland on the 15th of April and circled this on the calendar below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-40.svg 200 indent vpad\n\nWhat day of the week is the 1st of March?"},{"varval":"Working backwards:\n\n\r\n1 April → Tuesday (from calendar)\n\n\r\n31 March → Monday (31 days in March)\n\n\r\n24 March → Monday \n\r\n17 March → Monday\n\n10 March → Monday\n\n3 March → Monday\n\n$\\therefore$ 1 March is a {{{correctAnswer}}}"}]},{"vars":[{"varval":"Chase looked at the calendar on the 7th of March.\n\n\r\n\r\nHe has an assessment task on the 15th of April and circled this on the calendar below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-40.svg 200 indent vpad\n\nWhat day of the week is the 7th of March?"},{"varval":"Working backwards:\n\n\r\n1 April → Tuesday (from calendar)\n\n\r\n31 March → Monday (31 days in March)\n\n\r\n24 March → Monday \n\r\n \r\n\r\n17 March → Monday\n\n10 March → Monday\n\n$\\therefore$ 7 March is a {{{correctAnswer}}}"}]}]

Measurement, NAPX-F4-NC14 - 42fbeeaf-665f-4285-b51f-a83d25f6a56c - (July 13, 2021)

Can't find anything wrong with this question. I changed the worked solution to include a minus sign instead of saying "less than". I've added 4 more variants and added staging_suejones to categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Dawn takes 4 minutes 15 seconds to swim 200 metres in the pool.\n\n\r\n\r\nMurray swims the same distance in 2 minutes 25 seconds.\n\n\r\n\r\nIf they start at the same time, how long after Murray finishes will Dawn finish?"},{"varval":"One strategy:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Extra time|= 4 min 15 sec $-$ 2 min 25 sec|\n||= 2 min 15 sec $-$ 25 sec|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Jerry takes 10 minutes and 35 seconds to walk to the supermarket via the park.\n\n\r\n\r\nAnnette takes a different route and arrives in 7 minutes and 15 seconds.\n\n\r\n\r\nIf they start at the same time, how long after Annette arrives will Jerry arrive at the supermarket?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Extra time|= 10 min 35 sec $-$ 7 min 15 sec|\n||= 3 min 35 sec $-$ 15 sec|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Geoffrey ran the 1500 metre race at the school carnival in 7 minutes and 25 seconds.\n\n\r\n\r\nHe hopes to run the same distance in 6 minutes and 40 seconds at the zone carnival next month.\n\n\r\n\r\nBy how much must he improve his time to achieve this goal?"},{"varval":"One strategy:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Time difference|= 7 min 25 sec $-$ 6 min 40 sec|\n||= 1 min 25 sec $-$ 40 sec|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Georgia caught the \"all stops\" train from Sydney to Newcastle. The trip took 3 hours and 4 minutes.\n\n\r\n\r\nJulia chose to drive and the trip took 2 hours and 17 minutes.\n\n\r\n\r\nIf they start at the same time, how long after Julia arrives will Georgia arrive?"},{"varval":"One strategy:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Extra time|= 3 hours 4 min $-$ 2 hours 17 min|\n||= 1 hour 4 min $-$ 17 min|\n||= 64 min $-$ 17 min|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Billy takes 13 minutes 5 seconds to ride his bike to soccer training.\n\n\r\n\r\nHis brother James catches the bus and the trip takes 5 minutes and 25 seconds.\n\n\r\n\r\nIf they leave home at the same time, how long after James arrives will Billy arrive?"},{"varval":"One strategy:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Extra time|= 13 min 5 sec $-$ 5 min 25 sec|\n||= 8 min 5 sec $-$ 25 sec|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Measurement, NAPX-J3-CA23 - beb6b428-5604-48ae-85ab-759ee136ceaf - (July 13, 2021)

<div class="sm_mode"> The running time of a documentary is 148 minutes. Paul starts watching the documentary at 2:13 pm. What time will the documentary end in 24-hour time? </div>

[{"vars":null}]

Measurement, NAPX-J2-40 - 35898f59-adbb-4586-ba42-2d46b8be347e - (July 13, 2021)

<div class="sm_mode"> Grant takes 15 minutes to walk to the beach for board training. Last week he arrived at training at 4:05 pm, which was 25 minutes late. At what time would Grant leave home to arrive at board training on time? </div>

[{"vars":null}]

Measurement, NAPX-p169480v02 - 414e0dea-0b60-47cc-8dbd-959459812077 - (July 13, 2021)

Can't find any errors in this question. Added 4 more variants.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A father and his son attended a video game convention, arriving at 9:15 am.\n\n\r\n\r\nThey left the convention at 2:05 pm.\n\n\r\n\r\nHow long did they spend at the convention?"},{"varval":"9:15 am to 10:00 am → 45 minutes\n\n\r\n10:00 am to 2:00 pm → 4 hours\n\n\r\n2:00 pm to 2:05 pm → 5 minutes\n\n\r\n$\\therefore$ Time at convention = {{{correctAnswer}}}."}]},{"vars":[{"varval":"Julius caught the train from Wyong station at 7:03am.\n\n\r\n\r\nHe arrived at Town Hall station at 8:54am.\n\n\r\n\r\nHow long was Julius' train trip?"},{"varval":"One strategy:\n\n7:03 am to 8:00 am → 57 minutes\n\n\r\n8:00 am to 8:54 pm → 54 minutes\n\n\r\nTotal time = 111 minutes\n\n\r\n$\\therefore$ Length of train trip = {{{correctAnswer}}}."}]},{"vars":[{"varval":"Jacquie watched a movie that started at 10:35 am and finished at 1:15 pm.\n\n\r\n\r\n\r\n\r\nHow long was the movie?"},{"varval":"10:35 am to 11:00 am → 25 minutes\n\n\r\n11:00 am to 1:00 pm → 2 hours\n\n\r\n1:00 pm to 1:15 pm → 15 minutes\n\n\r\n$\\therefore$ Time at convention = {{{correctAnswer}}}."}]},{"vars":[{"varval":"On Monday Bernie logged on to an online course at 10:40 am and logged off at 3:15 pm.\n\n\r\n\r\n\r\n\r\nFor how long was he logged on to the online course on Monday?"},{"varval":"One strategy: \n\n10:40 am to 11:00 am → 20 minutes\n\n\r\n11:00 am to 3:00 pm → 4 hours\n\n\r\n3:00 pm to 3:15 pm → 15 minutes\n\n\r\n$\\therefore$ Time logged on = {{{correctAnswer}}}."}]},{"vars":[{"varval":"James started playing Minecraft at 11:25 am and stopped for lunch at 1:45 pm.\n\nFor how long was James playing Minecraft before lunch?"},{"varval":"11:25 am to 12:00 am → 35 minutes\n\n\r\n12:00 am to 1:00 pm → 1 hours\n\n\r\n1:00 pm to 1:45 pm → 45 minutes\n\n\r\n$\\therefore$ Time playing Minecraft = 1 hour 80 minutes = {{{correctAnswer}}}."}]}]

Measurement, NAPX-p124595v01 - 2e2769d6-9c39-4e76-a4d6-ce472d4283a4 - (July 13, 2021)

Measurement, NAPX-G2-17 Can't find any errors. Changed Lleyton to Serena in Var1 as they were attending the Women's tennis final.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-17.svg 200 indent vpad\n\nDavid has a dentist appointment on 4 June.\n\n\r\n\r\n5 days before the appointment, David's tooth fell out.\n\n\r\n\r\nOn which day of the week did his tooth fall out?"},{"varval":"Working backwards:\n\n\r\n1 day before 4 June → Sunday\n\n\r\n2 days before 4 June → Monday\n\n\r\n>>⋮\n\n\r\n5 days before 4 June → Wednesday"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-17.svg 200 indent vpad\n\nThe French Open women's tennis final was held on 2 June.\n\n\r\n\r\n6 days before the final, Serena arrived in Paris.\n\n\r\n\r\nOn what day of the week did Serena arrive in Paris?"},{"varval":"Working backwards:\n\n\r\n1 day before 2 June → Friday\n\n\r\n2 days before 2 June → Thursday\n\n\r\n>>⋮\n\n\r\n6 days before 2 June → Sunday"}]}]

Algebra, NAPX-p168204v02 - f6d731f7-224c-4dc0-92f0-2f0edbcaf235 - (July 13, 2021)

<div class="sm_mode"> 12.5 $\times$ <span class="sm-text color4">?</span> = 2.5 Find the value of <span class="sm-text color4">?</span> in order to make this number sentence correct. </div>

[{"vars":null}]

Algebra, NAPX-G2-36 SA - c19d3766-518e-49bb-b9d5-12ae2ccf02e5 - (July 13, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What number makes this number sentence correct?"},{"varval":" <span class=\"sm_box\"> ` ` ` ` </span> − 47 + 29 = 51\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 51 + 47 − 29 |\n| | \\= 98 − 29 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"What number makes this number sentence correct?"},{"varval":" <span class=\"sm_box\"> ` ` ` ` </span> − 34 + 68 = 57\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 57 + 34 − 68 |\n| | \\= 91 − 68 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"What number makes this number sentence correct?"},{"varval":" <span class=\"sm_box\"> ` ` ` ` </span> − 29 + 72 = 44\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 44 + 29 − 72 |\n| | \\= 73 − 72 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"What number makes this number sentence correct?"},{"varval":" <span class=\"sm_box\"> ` ` ` ` </span> − 25 + 47 = 83\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 83 + 25 − 47 |\n| | \\= 108 − 47 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]}]

Algebra, NAPX-J2-37 - fa320443-51a0-4c8a-8796-de66e7bc77ea - (July 13, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A new hammock costs $335.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-37-v1.svg 350 indent vpad\n\nKeanu has saved a total of $128.\r\n\r\nWhich number sentence can be solved to find the amount of money Keanu still needs to buy the hammock?"},{"varval":"Savings + money needed = total cost\n\n{{{correctAnswer}}}\n"}]}]

Algebra, NAPX-I2-33 - 98cd8526-268b-4e93-8567-f72adff025b3 - (July 13, 2021)

<div class="sm_mode"> Ambrosia wanted to measure the height of a soda can by measuring it against a section of her measuring tape. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-I2-33.svg 200 indent3 vpad What is the height of the soda can? </div>

[{"vars":null}]

Algebra, NAPX-F1-20 - 33759a4f-0c63-4642-933f-ba5ea6eb2581 - (July 13, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these adds up to more than $6?"},{"varval":"$4.30 + $1.65\t= $5.95\n\n$2.35 + $3.55\t= $5.90\n\n$3.45 + $2.55\t= $6\n\n$3.30 + $2.75\t= $6.05\n\n$\\therefore$ {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of these does NOT add up to $6?"},{"varval":"$4.30 + $1.70\t= $6.00\n\n$2.35 + $3.55\t= $5.90\n\n$3.45 + $2.55\t= $6.00\n\n$3.25 + $2.75\t= $6.00\n\n$\\therefore$ {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of these adds up to more than $14?"},{"varval":"$10.30 + $2.70\t= $13.00\n\n$7.65 + $6.45\t= $14.10\n\n$9.45 + $4.25\t= $13.70\n\n$4.65 + $9.25\t= $13.90\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these adds up to less than $17?"},{"varval":"$7.95 + $8.85\t= $16.80\n\n$19.75 + $7.75\t= $17.50\n\n$7.45 + $9.85\t= $17.30\n\n$9.95 + $7.25\t= $17.20\n\n$\\therefore$ {{{correctAnswer}}}"}]}]

Algebra, NAPX-p123181v03 - 7cdbd865-de1a-4487-8e17-22af6955e329 - (July 13, 2021)

Algebra, NAPX-p123181v02 Algebra, NAPX-p123181v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Mike enters a motorcycle race.\r\n\r\nOn Day 1, he rides 620 kilometres.\r\n\r\nOn Day 2, he rides 483 kilometres.\r\n\r\nWhich number sentence shows how many more kilometres he rides on Day 1 than Day 2?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Sean enters a motorcycle race.\r\n\r\nOn Day 1, he rides 530 kilometres.\r\n\r\nOn Day 2, he rides 286 kilometres.\r\n\r\nWhich number sentence shows how many more kilometres he rides on Day 1 than Day 2?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"At breakfast, a coffee shop sold 290 cups of coffee.\r\n\r\nAt lunchtime on the same day, the shop sold 177 cups of coffee.\r\n\r\nWhich number sentence shows how many more cups of coffee were sold at breakfast than at lunchtime?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"A restaurant has an all day breakfast menu and used 83 eggs at breakfast.\r\n\r\nAt lunchtime on the same day, the restaurant used 41 eggs.\r\n\r\nWhich number sentence shows how many more eggs were used at breakfast than at lunchtime?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"At lunchtime, a pizza shop sold 147 pizzas.\r\n\r\nAt dinnertime on the same day, the pizza shop sold 233 pizzas.\r\n\r\nWhich number sentence shows how many more pizzas were sold at dinnertime than at lunchtime?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Ferenc enters a charity walkathon.\r\n\r\nDuring Week 1, he walks 294 kilometres.\r\n\r\nDuring Week 2, he walks 357 kilometres.\r\n\r\nWhich number sentence shows how many more kilometres he walks during Week 2 than Week 1?"},{"varval":"\t\r\n{{{correctAnswer}}}"}]}]

Algebra, NAPX-p72866v02 - 4e573666-2cf8-4336-9087-92ed3f100815 - (July 12, 2021)

Var: Algebra, NAPX-p72866v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The first number in a pattern is 5.85\r\n\r\nEach number in the pattern is formed by subtracting 2.25 from the previous number.\r\n\r\nWhat is the 3rd number in the pattern?"},{"varval":"2nd number: 5.85 − 2.25 = 3.60\r\n\n3rd number: 3.60 − 2.25 = 1.35"}]},{"vars":[{"varval":"The first number in the pattern is 4.1\r\n\r\nEach number in the pattern is formed by adding 1.25 to the previous number\r.\n\r\nWhat is the 4th number in the pattern?"},{"varval":"2nd number: 4.1 + 1.25 = 5.35\r\n\n3rd number: 5.35 + 1.25 = 6.6\r\n\n4th number: 6.6 + 1.25 = 7.85"}]}]

Algebra, NAPX-p116707v03 - a88009fe-9c44-41af-a2b8-e268443cb8dd - (July 12, 2021)

Algebra, NAPX-p116707v02 Algebra, NAPX-p116707v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Louise donated money to two charities\r.\n\r\nShe donated $125 to the first charity and donated $45 to the second charity.\r\n\r\nWhich number sentence could be used to find total amount of money Louise donated?"},{"varval":"sm_nogap Total amount donated to charity\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= 125 + 45 |\n| | \\= 130 − 5 + 50 − 5 |\n| | \\= 130 + 50 − 10 |\r\n| | \\= 170 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Shane played two basketball games.\r\n\r\nShe scored 35 points in the first game.\r\n\r\nIn the second game she scored 25 points.\r\n\r\nWhich number sentence could be used to find the total number of points Shane scored in the first two games?"},{"varval":"sm_nogap Total points in first 2 games\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= 35 + 25 |\n| | \\= 30 + 5 + 20 + 5 |\n| | \\= 30 + 20 + 10 |\r\n| | \\= 60 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Leonardo was his soccer team's top goal scorer over two seasons.\r\n\r\nIn season 1, he scored 55 goals.\r\n\r\nIn season 2, he scored 65 goals.\r\n\r\nWhich number sentence could be used to find the total number of goals Leonardo scored over both seasons?"},{"varval":"sm_nogap Total goals over 2 seasons\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= 55 + 65 |\n| | \\= 50 + 5 + 60 + 5 |\n| | \\= 50 + 60 + 10 |\r\n| | \\= 120 |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-p124052v01 - 962de817-5567-40a5-915f-8e34e6627d85 - (July 12, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The runs scored by Josh and Patrick in 4 games of cricket are recorded in the table below.\n\n<br>\n<div class=\"sm-table col1-color2 row1-color2 top-left-cell-hidden\">\n\n>>| | Josh | Patrick |\n|:-:|:-:|:-:|\n|Game 1| 12| 7|\n|Game 2| 20| 70|\n|Game 3| 2| 10|\n|Game 4| 11| 16|\n\n</div>\n\n<br>In which game did Patrick score 5 more runs than Josh?\n"},{"varval":"Consider each game (by trial and error),\r\n \r\n\r\nGame 4: 16 $-$ 11 = 5 runs (more by Patrick)\n"}]}]

Algebra, NAPX-H2-13 - c74c4a68-d07f-4f4a-87f4-43b8121544c7 - (July 12, 2021)

<div class="sm_mode"> George, Martha, Nick and Honey are in a band. The years they were born are recorded in the table below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-H2-13-v1.svg 550 indent vpad Who is the second youngest band member? </div>

[{"vars":null}]

Algebra, NAPX-p116624v05 - 676c12b9-61f2-4b08-8afe-4e69fd426a12 - (July 12, 2021)

Algebra, NAPX-p116624v04 Algebra, NAPX-p116624v03 Algebra, NAPX-I2-05 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The scales below are evenly balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/03/NAPX5-TLA-4-v2_.svg 350 indent vpad\n\n<br>What is the mass of the small cube?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Mass of small cube | \\= 44 − 18 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}}|\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The scales below are evenly balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads//2021/03/NAPX5-TLA-4-v1_.svg 350 indent vpad\n\n<br>What is the mass of the small cube?\n\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Mass of small cube | \\= 32 − 19 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The scale pictured below is balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/p116624v03-300x201.png 350 indent vpad\n\n<br>What is the weight of the cube?"},{"varval":"Since the scale is balanced, weight on both sides = 44 grams\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Weight of cube | \\= 44 − 13 |\r\n| | \\= 31 grams |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The scales below are evenly balanced.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-I2-05-v1.svg 350 indent vpad\n\n<br>What is the weight of the small cube?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Weight of small cube | \\= 26 − 15 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-p121288v01 - 4a8bdc2b-6d45-4445-8c26-a672d478ffe7 - (July 12, 2021)

var: Algebra, NAPX-p121288v02 Algebra, NAPX-p121288v03

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Write a number in the box to make this number sentence true."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 7 + 6 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\n| | |\n| 13 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\r\n| | |\n| <span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Write a number in the box to make this number sentence true."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 8 + 8 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\n| | |\n| 16 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\r\n| | |\n| <span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Write a number in the box to make this number sentence true."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 9 + 7 | \\= 11 + <span class=\"sm_box\"> ` ` </span> |\n| | |\n| 16 | \\= 11 + <span class=\"sm_box\"> ` ` </span> |\r\n| | |\n| <span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Write a number in the box to make this number sentence true."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 8 + 5 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\n| | |\n| 13 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\r\n| | |\n| <span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Write a number in the box to make this number sentence true."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 8 + 7 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\n| | |\n| 15 | \\= 10 + <span class=\"sm_box\"> ` ` </span> |\r\n| | |\n| <span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]}]

Algebra, NAPX-p116683v01 - df7dbb69-1c9d-404b-925d-1a73ecaa66d2 - (July 12, 2021)

var : Algebra, NAPX-p116683v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Kylie planted 175 lemon trees in her orchard.\r\n\r\n23 lemon trees died in the first month.\r\n\r\nHow many lemon trees survived past the first month?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Lemon trees left\t | \\= 175 − 23 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Rodney planted 227 small tress on his property.\r\n\r\nSome of the small trees died so there was only 203 trees left.\r\n\r\nHow many of the small trees died?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Trees that died | \\= 227 − 203 |\r\n| | \\= 24 |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-p121271v01 - 23b184ab-8df0-4964-b718-9dda3de3b10e - (July 12, 2021)

Algebra, NAPX-K2-05 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In a bowls competition, a player won 12 games and lost the other 9 games.\r\n\r\nFinish the subtraction sentence below to show the number of games he played."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 9 + 12 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"In a squash competition Michelle won 9 games and lost the other 7 games.\r\n\r\nFinish the subtraction sentence below to show the number of games Michelle played."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 7 + 9 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"In a basketball competition, the Red Devils won 17 games and lost the other 14 games.\r\n\r\nFinish the subtraction sentence below to show the number of games the Red Devils played."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 17 + 14 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"In a rugby league competition, the Bulldogs won 7 games and lost the other 19 games.\r\n\r\nFinish the subtraction sentence below to show the number of games the Bulldogs played."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 7 + 19 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"In a netball league, the Swifts won 15 games and lost the other 8 games.\r\n\r\nFinish the subtraction sentence below to show the number of games the Swifts played."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| <span class=\"sm_box\"> ` ` ` ` </span> | \\= 15 + 8 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]}]

Algebra, NAPX-p124265v01 - 01a50966-4d49-407d-89be-1e988c36b591 - (July 12, 2021)

<div class="sm_mode"> Geoff has $88. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-13v2.svg 170 indent3 vpad <br>How much more money does he need to buy the tennis racquet? </div>

[{"vars":null}]

Measurement, NAPX-I3-NC30 - 12c61ac2-7b27-4a40-9aa3-539903082c10 - (July 12, 2021)

Can't find any errors.

<div class="sm_mode"> Ralph has a rectangular puppy playground in his backyard with an area of 10 m$^2$. He decides to make it bigger and increases each side to 3 times its current length. What is the new area of the puppy playground? </div>

[{"vars":null}]

Measurement, NAPX-p111988v02 - f6a3be01-e0e9-4102-958c-3b7bd4595671 - (July 12, 2021)

<div class="sm_mode"> Mario sketches an irregular plot of land, pictured below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_80.svg 240 indent vpad What is the perimeter of this polygon in metres? </div>

[{"vars":null}]

Measurement, NAPX-p169879v02 SA - 3840cc6e-6485-4f6d-a64c-a89a7bca4c15 - (July 12, 2021)

Error in var1 - Divide shape into 3 parts - should be 2 parts.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Timothy sketched a plot of land with the following measurements in metres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/46.svg 240 indent vpad\n\nWhat is the area of the land in square metres?"},{"varval":"Divide the shape into 3 parts:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/46s.svg 300 indent vpad\n\n<div class=\"aligned\">\r\n\n|||\n|-|-|\n|Total Area|= Area 1 + Area 2 + Area 3|\n||= (15 × 12) + (23 × 10) + $\\bigg( \\dfrac{1}{2} \\times 11 \\times 14 \\bigg)$|\n||= 180 + 230 + 77|\n||= 487 m$^2$|\n\n</div>"}]},{"vars":[{"varval":"Hana sketches a shape with the following measurements in centimetres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/45.svg 260 indent vpad\n\nWhat is the area of the shape sketched by Hana?"},{"varval":"Divide the shape into 2 parts:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/45s.svg 260 indent vpad\n\n<div class=\"aligned\">\r\n\n|||\n|-|-|\n|Total Area|= Area of triangle + Area of rectangle|\n||= $\\bigg( \\dfrac{1}{2} \\times 4 \\times 9 \\bigg) + (8 \\times 9)$|\n||= 18 + 72|\n||= 90 m$^2$|\n\n</div>"}]}]

Measurement, NAPX-G2-35 SA - 5a941901-7d91-49ae-9754-44479ea1c69c - (July 12, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Barney's blocks have two square faces.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-35i.svg 80 indent3 vpad\n\n<br>He builds the model below using the blocks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-35ii.svg 230 indent3 vpad\n\n<br>What is the height of the model in centimetres?"},{"varval":"sm_nogap Side length of the square face\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 30 ÷ 6|\n|= 5 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Height|= 4 × 5|\n||= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Bill's blocks have two square faces.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v1q.svg 120 indent3 vpad\n\n<br>He builds the model below using the blocks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v1qb.svg 300 indent3 vpad\n\n<br>What is the height of the model in centimetres?"},{"varval":"sm_nogap Side length of the square faces\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 56 ÷ 8|\n|= 7 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Height|= 7 × 5|\n||= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Betty's blocks have two square faces.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v2q.svg 100 indent3 vpad\n\n<br>She builds the model below using the blocks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v2qb.svg 210 indent3 vpad\n\n<br>What is the height of the model in centimetres?"},{"varval":"sm_nogap Side length of the square faces\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 72 ÷ 6|\n|= 12 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Height|= 12 × 6|\n||= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Damo's blocks have two square faces.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v3q.svg 100 indent3 vpad\n\nHe builds the model below using the blocks.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v3qb.svg 230 indent3 vpad\n\nWhat is the height of the model in centimetres?"},{"varval":"sm_nogap Side length of the square faces\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 78 ÷ 6|\n|= 13 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Height|= 13 × 5|\n||= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Veronica's blocks have two square faces.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v4q.svg 110 indent3 vpad\n\nShe builds the model below using the blocks.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v4qa.svg 280 indent3 vpad\n\nWhat is the height of the model in millimetres?"},{"varval":"sm_nogap Side length of the square faces\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 272 ÷ 8|\n|= 34 mm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Height|= 34 × 7|\n||= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Callie's blocks have two square faces.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v5q.svg 100 indent3 vpad\n\nShe builds the model below using the blocks.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G2-35-SA_v5qb.svg 370 indent3 vpad\n\nWhat is the height of the model in millimetres?"},{"varval":"sm_nogap Side length of the square faces\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 204 ÷ 12|\n|= 17 mm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Height|= 17 × 5|\n||= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]}]

Measurement, NAPX-p167302v02 - 9a554e41-df8a-417f-8f89-86856aa6e892 - (July 12, 2021)

Measurement, NAPX-p167302v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The image below is a plan of a commercial garden.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q44.svg 340 indent vpad\n\nThe total planted area is 48 square metres.\n\n\r\n\r\nWhat is the total unplanted area?"},{"varval":"6 planted areas = 48 m$^2$\n\n\r\n1 hexagon grid = 48 ÷ 6 = 8 m$^2$\n\n\r\nNumber of unplanted areas: 8\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total unplanted area|= 8 × 8|\n||= 64 m$^2$|\n\n</div>"}]},{"vars":[{"varval":"The image below shows a layout of a village.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q43.svg 400 indent vpad\n\nThe total area of the occupied lots is 60 m$^2$.\n\n\r\n\r\nWhat is the total area of the unoccupied lots in the village?"},{"varval":"12 occupied lots = 60 m$^2$\n\n\r\n1 lot = 60 ÷ 12 = 5 m$^2$\n\n\r\nNumber of unoccupied lots = 10\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area of unoccupied lots|= 10 × 5|\n||= 50 m$^2$|\n\n</div>"}]}]

Measurement, NAPX-p169727v02 - 0fdd19ce-a55b-4482-b0fb-b08f7bd4944c - (July 12, 2021)

Words left out of first sentence in question.

<div class="sm_mode"> Brock decided to cut out a small rectangle from a piece of rectangular paper. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/p169727v02-296x300.png 200 indent vpad The rectangle cut out has a length of 60 mm and a height of 40 mm. Which of the following expressions gives the area of the paper that was left after Brock cut out the smaller rectangle? </div>

[{"vars":null}]

Measurement, NAPX-p168010v01 SA - 43ec18bc-63e4-482b-9266-4f10f6c69178 - (July 12, 2021)

Error in worked solution. 15 + 5 instead of 15 + 15.

<div class="sm_mode"> The perimeter of a rectangular box is 130 m. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/raph10-q15.svg 300 indent vpad What is the value of the width $x$? </div>

[{"vars":null}]

Measurement, NAPX-p167451v02 - baf9c8ba-f35c-47a3-9e86-abafa6d31ed8 - (July 12, 2021)

Measurement, NAPX-p167451v01 Error in worked solution. 82m should be 84m. Changed to {{{correctAnswer}}} to avoid errors.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A triangular lot is for sale.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-20.svg 240 indent vpad\n\nWhat is the perimeter of the lot?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= 12 + 35 + 37|\n||= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Dexter owns a backyard in the shape of a trapezoid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-19.svg 320 indent vpad\n\nWhat is the perimeter of the backyard owned by Dexter?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= (2 × 68) + 212 + 189|\n||= 136 + 212 + 189|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Measurement, NAPX-p169631v01 - 03b3d8c8-a388-4ff3-9b95-787aeb75e228 - (July 12, 2021)

Added worked solution as there was only a bald answer of 98 m

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Derrick has a backyard in the shape of a rectangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10-61.svg 300 indent vpad\n\nThe longer side is $1 \\dfrac{1}{3}$ times longer than the shorter side.\r\n\r\nWhat is the perimeter of Derick’s backyard?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ---- | --------------------------------------- |\n| Perimeter | \\= 2 $\\times$ 21 + $\\dfrac{4}{3}$ $\\times$ 2 $\\times$ 21 |\n| | \\= 42 + 56 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Measurement, NAPX-p167202v02 - 0b0a54b3-2871-4b22-b5d5-78de688cd010 - (July 12, 2021)

Added area calculation in worked solution as only image of correct triangle included.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Four triangular shaped playgrounds are shown below.\n\n\r\n\r\nWhich of these play grounds has the least surface area?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n| Area| = $\\dfrac{1}{2} \\times 34 \\times 15$ |\n||= 255 m$^2$|\n\n<br>\n\n</div>\n\n{{{correctAnswer}}}"}]}]

Measurement, NAPX-p167365v02 - 64043805-b7e7-49a0-81cc-2ef7f5c9e8de - (July 12, 2021)

Worked solution incorrect. Stated area of triangle instead of rectangle. Also error in final line of solution corrected.

<div class="sm_mode"> Which shape has an area of exactly 12 square units? sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q2.png 300 indent vpad </div>

[{"vars":null}]

Measurement, NAPX-p167325v01 - 93b52441-fa9c-4822-bf20-890422cb96f8 - (July 12, 2021)

Added "painted grey" to the question to eliminate those that may be painted white. Moved correct answer to sit below the calculation. Couldn't find any other errors.

<div class="sm_mode"> Sam painted grids in the larger square areas pictured below. All of the grids are the same size. Which of the following squares has the largest area painted grey? </div>

[{"vars":null}]

Measurement, NAPX-J3-CA31 - f3501e1d-3e2b-4e3d-b960-f9229c20ad21 - (July 11, 2021)

Fixed incorrect units in solution - were 185mm and 300mm - now 185 cm and 300 cm.

<div class="sm_mode"> Wooden beams for building house frames can be purchased in a number of lengths. A hardware store can supply lengths of 1.9 metres, 290 millimetres, 185 centimetres, 0.295 metres and 300 centimetres. Which wooden beam is the longest? </div>

[{"vars":null}]

Measurement, NAPX-p106471v02 SA - 4b393334-58f8-49f5-9e6a-09b4d2f2e93c - (July 11, 2021)

Measurement, NAPX-p106471v01 SA Incorrect number used in worked solution 468 -> 470. Changed wording in var1 to correct grammar and ambiguity.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Martin has a piece of wire that measures 1.32 metres.\n\n\r\n\r\nHe cuts off a 470 millimetre piece of wire.\n\n\r\n\r\nHow long is the remaining wire in millimetres?"},{"varval":"sm_nogap Conversion: 1 metre = 1000 millimetres\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Length remaining|= (1.320 × 1000) $-$ 470|\n||= 1320 $-$ 470|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Henry is 175 centimetres tall.\n\nHe stands on top of a chair that is 425 millimetre tall.\n\nHow tall is Henry now, including the chair, in centimetres?\n"},{"varval":"sm_nogap Conversion: 10 millimetres = 1 centimetre\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Total height|= (425 ÷ 10) + 175|\n||= 42.5 + 175|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-G2-28 - b892cd67-9ee8-4852-8983-478eb33869dc - (July 11, 2021)

<div class="sm_mode"> What is the temperature reading in this thermometer? <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-28.svg 130 indent3 vpad </div>

[{"vars":null}]

Measurement, NAPX-p124147v01 - 96825467-b7ee-4033-b966-7e390e65f8cf - (July 11, 2021)

<div class="sm_mode"> A company produces curtain rods in various lengths. The most common lengths are 190 centimetres, 0.255 metres, 1850 millimetres, 1.75 metres and 95 centimetres. Which curtain rod is the longest? </div>

[{"vars":null}]

Measurement, NAPX-p123537v01 - a3a33191-5e21-4a4e-8cdc-a74ab98b6670 - (July 11, 2021)

Measurement, NAPX-J2-27

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A bottle of milk can fill 5 glasses exactly.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-27-v1.svg 260 indent3 vpad\n\n<br>Which of the following holds the most milk?"},{"varval":"Converting each option to the number of glasses.\n\n\r\nOption 1: 1 × 5 + 8 = 13 glasses\n\n\r\nOption 2: 2 × 5 + 2 = 12 glasses\n\n\r\nOption 3: 12 glasses\n\n\r\nOption 4: 1 × 5 + 3 = 8 glasses\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-27-v1_b1.svg 200 indent vpad\n"}]},{"vars":[{"varval":"A bottle of milk can fill 5 glasses exactly.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-27-v1.svg 270 indent3 vpad\n\n<br>Which of the following holds the most milk?"},{"varval":"Converting each option to the number of glasses.\n\n\r\nOption 1: 3 × 5 = 15 glasses\n\n\r\nOption 2: 1 × 5 + 8 = 13 glasses\n\n\r\nOption 3: 2 × 5 + 1 = 11 glasses\n\n\r\nOption 4: 2 × 5 + 4 = 14 glasses\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-27-v1_a.svg 170 indent vpad"}]}]

Measurement, NAPX-p122986v01 - 003bbe07-fd1f-442e-a0c9-c502083531c0 - (July 11, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Miles makes a fruit drink by mixing juice concentrate with water.\n\n\n\r\nMiles adds 85 millilitres (mL) of juice concentrate to 1 litre (L) of water.\n\n\n\r\nHow much fruit drink did Miles make?"},{"varval":"Converting to mL:\n\nsm_nogap 1 L = 1000 mL\n\n<div class=\"aligned\">\n\n| | |\n| ------------------------------ | ------------ |\n| $\\therefore$ Total fruit drink | \\= 1000 + 85 |\n| | \\= 1085 mL |\n\n</div>"}]},{"vars":[{"varval":"Veronica is making green cordial.\n\nIt is made by mixing water with green concentrate.\n\nVeronica adds 2 litres (L) of water to 60 millilitres (mL) of green concentrate.\n\nHow much cordial does Veronica make?"},{"varval":"Converting to mL:\n\n\r\nsm_nogap 2 L = 2000 mL\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total cordial|= 2000 + 60|\n||= 2060 mL|\n\n</div>"}]}]

Measurement, NAPX-p120885v01 - 79c53423-dac0-4df7-9e3e-b042a15a764b - (July 11, 2021)

<div class="sm_mode"> Mary used the scale below to measure the mass of a necklace. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-H2-18-v2.svg 140 indent3 vpad What is the mass of the necklace on the scales? </div>

[{"vars":null}]

Measurement, NAPX-p169212v02 - 25782925-380b-4238-9a71-7644aca22ab2 - (July 11, 2021)

Measurement, NAPX-p169212v01 Worked Solutions were not showing as they were not set up correctly as variables. Also question was repeated in worked solution.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"At the start of an experiment, Stephanie has 215 millilitres of chemical solution in a flask.\n\n\r\n\r\nStephanie then used some of the solution in the experiment.\n\n\r\n\r\nThe image below shows the volume of the chemical solution left in the flask.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/Raph11-14-MC.svg 200 indent vpad\n\nHow much of the solution was used?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume used|= 215 $-$ 100|\n||= 115 millilitres|\n\n\n</div>"}]},{"vars":[{"varval":"Rosa started with 227 millitres of chemical solution in a flask.\n\n\r\n\r\nShe then poured some of the chemical solution into a test tube.\n\n\r\n\r\nThe level of chemical solution left in the flask is shown in the image below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/Raph11-13-MC.svg 200 indent vpad\n\nHow much solution did Rosa pour into the test tube?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume used|= 227 $-$ 200|\n||= 27 millilitres|\n\n\n\n</div>"}]}]

Measurement, NAPX-p169002v02 - 61acf6a3-ec0a-4b64-a863-b9bf8e2e70b2 - (July 11, 2021)

Measurement, NAPX-p169002v01 Worked solutions were not showing as not set up as variable correctly.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Anne was driving from her house to the supermarket to buy some groceries.\n\n\r\n\r\nShe drove a total distance of 2 kilometres and 54 metres.\n\n\r\n\r\nWhich of these shows the distance, in metres, that Anne drove to get to the supermarket?"},{"varval":"Conversion: 1 kilometre = 1000 metres\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Distance|= (2 × 1000) + 54|\n||= 2000 + 54|\n||= 2054 m|\n\n</div>"}]},{"vars":[{"varval":"John walked from his office to his home.\n\n\r\n\r\nHe walked a total of 1 kilometre and 62 metres.\n\n\r\n\r\nWhich of these shows the distance John walked in metres."},{"varval":"Conversion: 1 kilometre = 1000 metres\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Distance walked|= 1000 + 62|\n||= 1062 m|\n\n</div>"}]}]

Measurement, NAPX-p124557v01 - 7e163e8b-b49d-47cd-8943-1df0e5e4c33a - (July 11, 2021)

Measurement, NAPX p124557v03 Measurement, NAPX p124557v02 RAPH11-13, RAPH11-14

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Gina started with 635 millilitres of liquid in a flask.\n\r\nAfter pouring some some liquid out, the flask is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-I2-15v2.svg 100 indent3 vpad\n\nHow much liquid did Gina pour out of the flask?"},{"varval":"Since the flask now has 600 mL,\n\n\r\nsm_nogap Volume of liquid poured out\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 635 $−$ 600|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Carlos started with 460 millilitres of liquid in a flask.\n\r\nAfter he poured some of the liquid into a cup, the level of liquid in the flask is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-I2-15v1.svg 130 indent3 vpad\n\n<br>How much liquid did Carlos pour into the cup?"},{"varval":"Since the flask now has 400 mL,\n\n\r\nsm_nogap Volume of water poured out\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 460 $−$ 400|\n|= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Timothy started with 53 millilitres of oil in a flask.\n\r\nThe picture below shows the flask after he poured some unused oil from a test tube back into it.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q30.png 450 indent3 vpad\n\n<br>How much oil was poured back into the flask?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Oil in the test tube|= New volume − Original volume|\n||= 80 $−$ 53|\n||= 27 millilitres|\n\n</div>"}]},{"vars":[{"varval":"A chemist started with 685 millilitres of a solution.\n\r\nHe then poured some of the solution into a test tube.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/tube.png 280 indent3 vpad\n\n<br>How much of the chemical solution was poured into the test tube?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Solution in test tube|= New volume − Original volume|\n||= 685 $−$ 500|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"At the start of an experiment, Stephanie has 215 millilitres of chemical solution in a flask.\n\nStephanie then used some of the solution in the experiment.\n\nThe image below shows the volume of the chemical solution left in the flask.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/Raph11-14-MC.svg 200 indent3 vpad\n\n<br>How much of the solution was used?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume used|= 215 $-$ 100|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Rosa started with 227 millitres of chemical solution in a flask.\n\n\r\n\r\nShe then poured some of the chemical solution into a test tube.\n\n\r\n\r\nThe level of chemical solution left in the flask is shown in the image below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/Raph11-13-MC.svg 200 indent3 vpad\n\n<br>How much solution did Rosa pour into the test tube?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume used|= 227 $-$ 200|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Measurement, NAPX-p121682v01 - b4d53b85-f98b-4eb3-9054-1e47e782b88c - (July 11, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Chris is 120 centimetres tall.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-15v2.svg 240 indent3 vpad\n\n<br>About how tall is his big sister Maddie?"},{"varval":"Since Chris is 120 cm tall\n\n\r\n→ Each mark = 20 cm\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Maddie's height|= 9 × 20|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Colby is 150 centimetres tall.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-15v1rev.svg 240 indent3 vpad\n\n<br>About how tall is his little sister Peach?\n"},{"varval":"Since Colby is 150 cm tall\n\n\r\n→ Each mark = 30 cm\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Peach's height|= 3 × 30|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Measurement, NAPX-G2-21 - cf8fd4da-2a32-4398-a673-dabba4b00cb6 - (July 11, 2021)

Measurement, NAPX-p124624v04 SJ Added v2-5

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Avril bought half a kilogram of ham at the butchers.\n\n\r\n\r\nHow many grams of ham did Avril buy?"},{"varval":"1 kilogram = 1000 grams\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\ \\dfrac{1}{2}$ kilogram|= 1000 ÷ 2|\n||= {{{correctAnswer}}} grams|\n\n</div>"}]},{"vars":[{"varval":"Barnsy owned a carp that was one quarter of a metre long.\n\n\r\n\r\nHow long was Barnsy's carp in millimetres?"},{"varval":"1 metre = 1000 millimetres\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{1}{4}$ metre|= $\\dfrac{1}{4}\\ \\times$ 1000|\n||= {{{correctAnswer}}} millimetres|\n\n</div>"}]},{"vars":[{"varval":"Harvey missed the bus and walked half a kilometre to school?\n\nHow many metres did Harvey walk?"},{"varval":"1 kilometre = 1000 metres\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{1}{2}$ kilometre|= $\\dfrac{1}{2}\\ \\times$ 1000|\n||= {{{correctAnswer}}} metres|\n\n</div>"}]},{"vars":[{"varval":"Michelle bought two and a half litres of milk.\n\nHow many millilitres did she buy?"},{"varval":"1 litre = 1000 millilitres\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{1}{2}$ litre|= $\\dfrac{1}{2}\\ \\times$ 1000|\n||= 500 millilitres|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|2$\\dfrac{1}{2}$ litre|= ${2}\\ \\times$ 1000 + 500|\n||= {{{correctAnswer}}} millilitres|\n\n</div>"}]},{"vars":[{"varval":"Roxanne needed three quarters of a metre of blue material to finish her halloween costume.\n\nHow many centimetres of material did she need?"},{"varval":"1 metre = 100 centimetres\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{1}{4}$ metre|= $\\dfrac{1}{4}\\ \\times$ 100|\n||= 250 centimetres|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{3}{4}$ metre|= ${3}\\ \\times$ 250|\n||= {{{correctAnswer}}} centimetres|\n\n</div>"}]},{"vars":[{"varval":"A supermarket purchased a quarter of a tonne of pumpkins.\n\nHow many kilograms of pumpkins did the supermarket purchase?"},{"varval":"1 tonne = 1000 kilograms\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\dfrac{1}{4}$ tonne|= $\\dfrac{1}{4}\\ \\times$ 1000|\n||= {{{correctAnswer}}} kilograms|\n\n</div>"}]}]

Measurement, NAPX-p116963v01 - 01a31b7d-7b2a-44a5-8545-b13fd2c1900d - (July 11, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table below shows the session times of movies.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>| | Frozen | Tangled | Peter Pan | Cars |\n|:-:|:-:|:-:|:-:|:-:|\n| Start Time| 9:45 am| 1:00 pm| 1:30 pm| 2:10 pm|\n| Finish Time | 11:45 am| 3:50 pm|4:00 pm|4:50 pm|\n\n</div>\n\n<br>Which of these movies lasts two and a half hours?"},{"varval":"1:30 pm to 4:00 pm\n \r\n>> = 2 hours and 30 minutes\n\n<br>\n\r\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"The table below shows the session times of movies.\n\n<br>\n\n<div class=\"sm-table col1-color2 row1-color2 top-left-cell-hidden\">\n\n>| | Evil Dead | Ed Wood | Fight Club | Blood Brothers |\n|:-:|:-:|:-:|:-:|:-:|\n| Start Time| 2:00 pm| 3:10 pm| 3:45 pm| 4:30 pm|\n| Finish Time | 4:50 am| 5:40 pm|5:15 pm|7:20 pm|\n\n</div>\n\n<br>Which of these movies lasts two and a half hours?"},{"varval":"3:10 pm to 5:40 pm = 2 hours and 30 minutes\n\n$\\therefore$ Ed Wood"}]}]

MJDI Answer Box (double 2) - 1823dba1-40af-42f6-8d95-446210a7059c - (July 11, 2021)

<div class="sm_mode"> MJDI Answer Box (double 2) </div>

[{"vars":null}]

Algebra, NAPX-J2-28 - 16aa2670-e7c3-461b-9c3f-b5db46502f88 - (July 10, 2021)

<div class="sm_mode"> Chaucer has 83 match sticks. He uses 6 match sticks to make two small triangles. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAP-J2-28-v1.svg 300 indent vpad <br>What is the largest number of small triangles like this that Chaucer can make with his 83 match sticks? </div>

[{"vars":null}]

Algebra, NAPX-C1-14 - 6600d40c-029b-483e-8c9c-f3518cbd026e - (July 10, 2021)

<div class="sm_mode"> The lights below make a pattern. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/NAP-C1-14.png 350 indent vpad Which of these shows the order of the next four lights? </div>

[{"vars":null}]

Number, NAPX-p110532v01 - 85559f85-b96e-405d-9dec-8858067ade88 - (July 10, 2021)

Number, NAPX-p110532v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Leo puts $15 into his piggy bank to start saving money.\r\n\r\nHe then puts the same amount into the piggy bank at the end of each month.\r\n\r\nThe total amount of money in his piggy bank at the end of each month will be which of the following:"},{"varval":"Starting amount = $15 (odd)\r\n\nEnd of 1st month = 15 + 15 = $30 (even)\r\n\nEnd of 2nd month = 30 + 15 = $45 (odd)\r\n\n$\\therefore$ Total amount will be either an odd or even number."}]},{"vars":[{"varval":"Ana recycles 3 kilograms of plastic bottles in her first week of recycling.\r\n\r\nShe then recycles twice as much as she recycled the previous week for the next 5 weeks.\r\n\r\nThe total weight, in kilograms, of the plastic bottles she recycles in any given week will be which of the following:"},{"varval":"\r\n1st week: 3 kg (odd)\r\n\n2nd week: 3 + 6 = 9 kg (odd)\r\n\n3rd week: 9 + 18 = 27 kg (odd)\r\n\nAny week: odd + even = odd\n\n∴ Total amount will be always an odd number."}]}]

Algebra, NAPX-F1-10 - 933b4071-612f-425f-9808-b97d2dde5c40 - (July 10, 2021)

<div class="sm_mode"> This repeating pattern is made by turning a square tile. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/04/naplan-Y3-2013-10mc.png 500 indent vpad Which of these comes next in this pattern? </div>

[{"vars":null}]

Number, NAPX-p122724v02 - c2931454-3cde-453d-bead-ea237b54b750 - (July 09, 2021)

<div class="sm_mode"> Rasputin cuts a pizza into 6 smaller pieces along the lines shown. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-21v3.svg 280 indent3 vpad <br>How many pieces are in one-third of the whole pizza? </div>

[{"vars":null}]

Algebra, NAPX-G2-01 - 911e0ab4-2baf-4db2-83ee-4e8ec89b494f - (July 09, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Cameron writes a number pattern where each number is three more than the previous number.\n\nWhat number should Cameron write next?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------- | ---------------------- |\n| <span class=\"sm_box\"> ` ` </span>| \\= 13 + 3 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"Jevin writes a number pattern where each number is four more than the previous number.\n\nWhat number should Jevin write next?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------- | ---------------------- |\n| <span class=\"sm_box\"> ` ` </span>| \\= 21 + 4 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"Chardae writes a number pattern where each number is three less than the previous number.\n\nWhat number should Chardae write next?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------- | ---------------------- |\n| <span class=\"sm_box\"> ` ` </span>| \\= 11 - 3 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"Benson writes a number pattern where each number is five more than the previous number.\n\nWhat number should Benson write next?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------- | ---------------------- |\n| <span class=\"sm_box\"> ` ` </span>| \\= 17 + 5 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]},{"vars":[{"varval":"Misty writes a number pattern where each number is four less than the previous number.\n\nWhat number should Misty write next?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------------------------- | ---------------------- |\n| <span class=\"sm_box\"> ` ` </span>| \\= 21 - 4 |\n| | \\= {{{correctAnswer0}}} |\n\n</div>"}]}]

Geometry, NAPX-G3-CA17 - 1fac6ade-c504-456a-aaf5-65749bc9d4f3 - (July 09, 2021)

This question didn't have the angles in italics in the solution, the letters were too small and the worked solution said "aandc are both obtuse....." I have added 4 more variants to this question.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-CA17.svg 260 indent vpad\n\nWhich of the angles in this shape is closest to 80$\\degree$?"},{"varval":"By inspection:\n\n\r\nAngles $\\large a$ and $\\large c$ are both obtuse (greater than 90$\\degree$)\n\n\r\nAngle $\\large b$ is close to 45$\\degree$.\n\n\r\n$\\therefore$ Angle {{{correctAnswer}}} ≈ 80$\\degree$\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-G3-CA17_v1.svg 120 indent vpad\n\nWhich of the angles in this shape is closest to 60$\\degree$?"},{"varval":"By inspection:\n\n\r\nAngles $\\large b$ and $\\large d$ are both obtuse (greater than 90$\\degree$)\n\n\r\nAngle $\\large a$ is close to 45$\\degree$.\n\n\r\n$\\therefore$ Angle {{{correctAnswer}}} ≈ 60$\\degree$\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-CA17.svg 260 indent vpad\n\nWhich of the angles in this shape is closest to 45$\\degree$?"},{"varval":"By inspection:\n\nAngles $\\large a$ and $\\large c$ are both obtuse (greater than 90$\\degree$)\n\n\r\nAngle $\\large d$ is bigger than 45$\\degree$.\n\n\r\n$\\therefore$ Angle {{{correctAnswer}}} ≈ 45$\\degree$\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-G3-CA17_v1.svg 120 indent vpad\n\nWhich of the angles in this shape is closest to 30$\\degree$?"},{"varval":"By inspection:\n\nAngles $\\large b$ and $\\large d$ are both obtuse (greater than 90$\\degree$)\n\n\r\nAngle $\\large c$ ≈ 60$\\degree$.\n\n\r\n$\\therefore$ Angle {{{correctAnswer}}} ≈ 30$\\degree$\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-G3-CA17_v4.svg 360 indent vpad\n\nWhich of the angles in this shape is closest to 20$\\degree$?"},{"varval":"By inspection:\n\nAngle $\\large d$ is reflex (greater than 180$\\degree$ less than 360$\\degree$)\n\n\r\nAngle $\\large a$ ≈ 70$\\degree$\n\nAngle $\\large b$ ≈ 40$\\degree$\n\n$\\therefore$ Angle {{{correctAnswer}}} ≈ 20$\\degree$\n"}]}]

Geometry, NAPX-p167252v01 - 1c0b2b6a-1ae3-47ce-8538-4ad2ff1d16b8 - (July 09, 2021)

Added categories. Corrected wording in var0. Added var2-4 with staging_suejones in categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A one metre tall person casts a 4 metre shadow on level ground.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad\n\nIf a 1.8 metre tall person stands at the same position, how long will the shadow be?"},{"varval":"1 metre height → 4 metre shadow\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ 1.8 m height shadow|= 1.8 × 4|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A one metre tall person casts a 2 metre shadow on level ground.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad\n\nIf a 1.4 metre tall person stands at the same position, how long will the shadow be?"},{"varval":"1 metre height → 2 metre shadow\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ 1.4 m height shadow|= 1.4 × 2|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A one metre tall person casts a 4 metre shadow on level ground.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad\n\nIf a 0.8 metre tall person stands at the same position, how long will the shadow be?"},{"varval":"1 metre height → 4 metre shadow\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ 0.8 m height shadow|= 0.8 × 4|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A one metre tall person casts a 5 metre shadow on level ground.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad\n\nIf a 2.1 metre tall person stands at the same position, how long will the shadow be?"},{"varval":"1 metre height → 5 metre shadow\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ 2.1 m height shadow|= 2.1 × 5|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A one metre tall adult casts a 3 metre shadow on level ground.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q35.svg 300 indent vpad\n\nIf a 0.6 metre tall child stands at the same position, how long will the shadow be? "},{"varval":"1 metre height → 3 metre shadow\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ 0.6 m height shadow|= 0.6 × 3|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Geometry, NAPX-p167443v02 - 4857448c-f480-4936-8134-149063b9e7c1 - (July 09, 2021)

Can't find any errors in this question.

<div class="sm_mode"> Henry got lost driving to his uncle’s house and made 3 U-turns before arriving. In total, how many degrees does Henry turn through when making U-turns on his trip? </div>

[{"vars":null}]

Geometry, NAPX-p168433v01 - 7a9b4c99-3f44-4deb-a8a5-93fc997e3d5c - (July 09, 2021)

The decagon did not look like a regular decagon so I redid the images. Otherwise the question looks OK.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A regular decagon is folded in half along the dotted line.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-p168433v01_v0.svg 160 indent vpad\n\nWhat name is given to is the folded figure?"},{"varval":"The folded shape has 6 sides → {{{correctAnswer}}}.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-p168433v01_v0_ws.svg 90 indent vpad"}]}]

Geometry, NAPX-p167885v01 - c467f9f6-1392-4a82-825e-977032b66722 - (July 09, 2021)

Geometry, NAPX-G3-NC02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which picture shows that the book is opened at an angle of 180°?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10-Q9-SOL.png 320 indent vpad\n\nThis book is opened at an angle of 180∘"}]},{"vars":[{"varval":"Which angle below is closest to 60°?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/NAP-G3-NC02a.png 120 indent vpad"}]},{"vars":[{"varval":"A floor plan marked an angle that measured 35°.\n\r\nWhich of these shows an angle closest to the angle on the floor plan?"},{"varval":"{{{correctAnswer}}}"}]}]

Geometry, NAPX-p109193v02 SA - 1defe95f-8e8a-4350-aff7-e2f47884aa5d - (July 09, 2021)

<div class="sm_mode"> A scale diagram is shown below and represents the distances between 3 cities. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_82.svg 260 indent vpad The distance from City A to City B is 84 kilometres. What is the distance from City B to City C? </div>

[{"vars":null}]

Geometry, NAPX-L4-CA14 v1 - 99b2b3a5-6682-4237-ad30-79017ee2ed2c - (July 09, 2021)

Can't see any problems with this question.

<div class="sm_mode"> Penelope is walking due south. She makes a quarter turn to her left and keeps walking. Penelope then makes another quarter turn to her left and stops. What direction is she now facing? </div>

[{"vars":null}]

Geometry, NAPX-H2-32 SA - d3179eae-f606-4691-81fc-891491d50ccf - (July 09, 2021)

<div class="sm_mode"> A building's floor plan is pictured below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/03/naplan-Y5-2015-32mc-new.png 410 indent2 vpad <br>Misty enters the building through the southern door and leaves through the eastern door. What is the smallest number of rooms she must walk through? </div>

[{"vars":null}]

Geometry, NAPX-p100504v01 - b483f4c8-e622-45c8-944a-713f5e83a0f1 - (July 09, 2021)

Not sure of the problem. Maybe it's that the question asks about the direction of the arrow and there is the North arrow and the one on the street.

<div class="sm_mode"> Alexa was walking on Ruby Street in the direction of the arrow shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-3.svg 200 indent vpad In what direction was Alexa heading? </div>

[{"vars":null}]

Probability, NAPX-p110739v02 SA - 9fcde1db-3992-4d91-a0ec-c3b4e309c6e9 - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Shawn has a bag that holds one blue ball, one red ball and one green ball.\r\n\r\nShawn picks one ball without looking, records its colour and puts it back in the bag.\r\n\r\nHe repeated this process 60 times and summarises the results in the table below.\n\n<br> \n\n<div class=\"outline\">\n\n>>> |Colour |Number of Times|\n|:-:|:-:|\n|Red|23|\n|Blue|19|\n|Green|18|\n\n</div>\n\n<br>\n\nWhat is the difference between the expected and actual number of red balls picked?\n"},{"varval":"Probability of grabbing a red ball = $\\dfrac{1}{3}$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Expected number of red balls | \\= $\\dfrac{1}{3} \\ \\times 60$ |\r\n| | \\= 20 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Difference | \\= $23 \\ − \\ 20$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Elaine rolled a regular die 100 times.\r\n\r\nShe recorded if an even or odd number appeared each time.\r\n\r\nThe table below represents the recorded data.\n\n<br> \n\n<div class=\"outline\">\n\n>>> |Result |Number of Times|\n|:-:|:-:|\n|Even|58|\n|Odd|42|\n\n</div>\n\n<br>\n\nWhat is the difference between the expected number of odd rolls to the actual odd rolls recorded?\n"},{"varval":"Probability of odd number = $\\dfrac{3}{6}$ = 50%\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Expected number of odd rolls | \\= 50% $\\times$ 100 |\r\n| | \\= 50 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Difference | \\= $50 \\ − \\ 42$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Geoff has a bag that holds one orange ball, one red ball, one white ball and one green ball.\r\n\r\nGeoff picks one ball without looking, records its colour and puts it back in the bag.\r\n\r\nHe repeated this process 60 times and summarises the results in the table below.\n\n<br> \n\n<div class=\"outline\">\n\n>>> |Colour |Number of Times|\n|:-:|:-:|\n|Orange|19|\n|Red|12|\n|White|15|\n|Green|14|\n\n</div>\n\n<br>\n\nWhat is the difference between the expected and actual number of orange balls picked?"},{"varval":"Probability of grabbing an orange ball = $\\dfrac{1}{4}$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Expected number of orange balls | \\= $\\dfrac{1}{4} \\ \\times 60$ |\r\n| | \\= 15 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Difference | \\= $19 \\ − \\ 15$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Tammy rolls a fair dice with six faces numbered 1 to 6.\n\r\nShe repeated this process 30 times and the results are summarised in the table below.\n\n<br> \n\n<div class=\"outline\">\n\n>>> |Number|Number of Times|\n|:-:|:-:|\n|1|5|\n|2|3|\n|3|8|\n|4|6|\n|5|3|\n|6|5|\n\n</div>\n\n<br>\n\nWhat is the difference between the expected and actual number of times that number 3 was rolled?"},{"varval":"Probability of rolling a 3 = $\\dfrac{1}{6}$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Expected number of 3's | \\= $\\dfrac{1}{6} \\ \\times 30$ |\r\n| | \\= 5 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Difference | \\= $8 \\ − \\ 5$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Keiron rolls a fair dice with six faces numbered 1 to 6.\n\r\nHe repeated this process 42 times and the results are summarised in the table below.\n\n<br> \n\n<div class=\"outline\">\n\n>>> |Number|Number of Times|\n|:-:|:-:|\n|1|7|\n|2|5|\n|3|11|\n|4|7|\n|5|6|\n|6|6|\n\n</div>\n\n<br>\n\nWhat is the difference between the expected and actual number of times that number 3 was rolled?"},{"varval":"Probability of rolling a 3 = $\\dfrac{1}{6}$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Expected number of 3's | \\= $\\dfrac{1}{6} \\ \\times 42$ |\r\n| | \\= 7 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Difference | \\= $11 \\ − \\ 7$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Dolly rolls a fair dice with six faces numbered 1 to 6.\n\r\nShe repeated this process 48 times and the results are summarised in the table below.\n\n<br> \n\n<div class=\"outline\">\n\n>>> |Number|Number of Times|\n|:-:|:-:|\n|1|8|\n|2|5|\n|3|12|\n|4|10|\n|5|5|\n|6|8|\n\n</div>\n\n<br>\n\nWhat is the difference between the expected and actual number of times that number 4 was rolled?"},{"varval":"Probability of rolling a 4 = $\\dfrac{1}{6}$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Expected number of 4's | \\= $\\dfrac{1}{6} \\ \\times 48$ |\r\n| | \\= 8 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Difference | \\= $10 \\ − \\ 8$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]}]

Probability, NAPX-p167310v04 - aed8e4a7-d3b3-4441-9250-6acbac74a00d - (July 08, 2021)

var: Probability, NAPX-p167310v02 Probability, NAPX-p167310v01 NOTE: Probability, NAPX-p167310v04 (Teacher Edition) solution variables doesn't match the question specified?

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A man spins a wheel with 5 different coloured sections and records which colour it lands on each time.\r\n\r\nHe repeats the process multiple times.\r\n\r\nThe table below shows the results.\n\n<br>\n\n<div class=\"outline color2\">\n\n>> | WHITE | YELLOW | RED | BLUE | GREEN |\n> | :-----------: | :----------: | :------------: | :----------: | :------------: |\n> | 42 | 24 | 38 | 27 | 37 |\n\n</div>\n\n<br>\n\n<br>Using the table, what is the probability that the next spin will be yellow?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(yellow) | \\= $\\dfrac{\\text{Number of yellow}}{\\text{Total number of throws}}$ |\n| | |\n| | \\= $\\dfrac{24}{42+24+38+27+37}$ |\n| | |\n| | \\= $\\dfrac{24}{168}$ |\r\n| | |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Marie grabs a coloured ball from a bag and records the colour. She then puts the ball back into the bag and repeats this process 96 times.\r\n\r\nThe results are shown in the table below.\n\n<div class=\"outline color5\">\n\n>> | Orange | Blue | Red | Green| White | Black | Yellow |\n> | :-----------: | :----------: | :------------: | :----------: | :------------: | :----------: | :------------: |\n> | 13 | 20 | 18 | 9 | 12 | 14 | 10 |\n\n</div>\n\n<br>\n\nUsing the table, what is the probability that the next ball picked out by Marie will be yellow?\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(yellow) | \\= $\\dfrac{\\text{Number of yellow}}{\\text{Total number}}$ |\n| | \\= $\\dfrac{10}{96}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A biased die has 6 faces numbered from 1 to 6.\r\n\r\nRaven throws the die 50 times and recorded the results in the table below.\n\n<br>\n\n<div class=\"outline color3\">\n\n>> | Number | 1 | 2 | 3| 4 | 5 | 6 |\n> | :-----------: | :----------: | :------------: | :----------: | :------------: | :----------: | :------------: |\n> | **Times**| 11 | 8 | 9 | 10 | 6 | 6 |\n\n</div>\n\n\n<br>\n\nUsing the table, what is the probability that Raven will be throwing a 5 on her next throw?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(5) | \\= $\\dfrac{\\text{Number of 5's}}{\\text{Total number of throws}}$ |\n| | |\n| | \\= $\\dfrac{6}{50}$ |\r\n| | |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Peggy picks a marble from a bag and records its colour before placing it back in the bag.\r\n\r\nShe repeats this 20 times.\r\n\r\nHer results are in the table below.\n\n<br>\n\n<div class=\"outline color8\">\n\n>> | Black | Green | Yellow | Blue | Red |\n> | :-----------: | :----------: | :------------: | :----------: | :------------: |\n> | 4 | 5 | 1 | 8 | 2 |\n\n</div>\n\n<br>\n\n<br>Using the table, what is the probability that the next marble Peggy picks will be black?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $P$(Black) | \\= $\\dfrac{\\text{number of black picked}}{\\text{total picks}}$ |\r\n| | \\= $\\dfrac{4}{20}$ |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Klaus picks a ball from a bag and records the colour. \n\nHe then puts the ball back to the bag and repeats this process 70 times.\r\n\r\nThe results are shown in the table below.\n\n<div class=\"outline color7\">\n\n>> | Puple | Blue | Red | Green| White | Pink |\n> | :-----------: | :----------: | :------------: | :----------: | :------------: | :----------: | \n> | 9 | 12 | 21 | 15 |5 | 8 |\n\n</div>\n\n<br>\n\nUsing the table, what is the probability that the next ball picked up by Klaus will be white?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(white) | \\= $\\dfrac{\\text{Number of white}}{\\text{Total number}}$ |\n| | \\= $\\dfrac{5}{70}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A biased die has 6 faces numbered from 1 to 6.\r\n\r\nJackson throws the die 60 times and recorded the results in the table below.\n\n<br>\n\n<div class=\"outline color6\">\n\n>> | Number | 1 | 2 | 3| 4 | 5 | 6 |\n> | :-----------: | :----------: | :------------: | :----------: | :------------: | :----------: | :------------: |\n> | **Times**| 8 | 14 | 9 | 13 | 7 | 9 |\n\n</div>\n\n\n<br>\n\nUsing the table, what is the probability that Jackson will be throwing a 2 on his next throw?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(2) | \\= $\\dfrac{\\text{Number of 2's}}{\\text{Total number of throws}}$ |\n| | |\n| | \\= $\\dfrac{14}{60}$ |\r\n| | |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Probability, NAPX-p167455v03 - 09e862e0-6e3e-4715-a073-135a9aa3ec77 - (July 08, 2021)

<div class="sm_mode"> A bag contains different coloured balls. It contains 4 red balls, 8 green balls, 3 pink balls, 6 grey balls and 11 yellow balls. Nathalie picks a ball from the bag without looking. What is the chance that she draws a grey ball? </div>

[{"vars":null}]

Probability, NAPX-p168831v02 - 48e81d03-1c08-41b1-88b4-02da1e41d09a - (July 08, 2021)

NOTE: Teacher Edition question has 2 therefores in worked solution.

<div class="sm_mode"> In a standard deck of 52 playing cards, Ian draws one without looking. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_Q56.svg 350 indent vpad Which card is most likely to be drawn? </div>

[{"vars":null}]

Probability, NAPX7-TLA-10 v2 - 493b6df0-f993-4e7d-9f03-1098d2fc2451 - (July 08, 2021)

<div class="sm_mode"> The Rural Fire Service issued a statement that the chance of bushfires on a given day was extremely likely. Which probability below best describes the chance of bushfires? </div>

[{"vars":null}]

Probability, NAPX-p169473v02 - d195b35b-205e-4480-80ae-767e200fcbca - (July 08, 2021)

var: Probability, NAPX-p169473v01 NOTE: Probability, NAPX-p169473v02 woked solution in teacher edition has "P(white)" instead of "blue". Might be a typing error.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Noel has a bowl full of red chewing gum balls and blue chewing gum balls.\r\n\r\nThe chance of randomly picking a red chewing gum ball is 85%.\r\n\r\nWhat is the probability of randomly picking a blue chewing gum ball?"},{"varval":"sm_nogap $P$(red) + $P$(blue) = 100%\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore\\ P$(blue) | \\= $100 \\ − \\ 85$ |\r\n| | = {{{correctAnswer0}}}{{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Tristan's laundry has a lost clothing basket that contains only black and white socks.\r\n\r\nThe probability of randomly picking a black sock from the basket is 35%.\r\n\r\nWhat is the probability of randomly picking a white sock?\n"},{"varval":"sm_nogap $P$(white) + $P$(black) = 100%\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore\\ P$(white) | \\= $100 \\ − \\ 35$ |\r\n| | \\= {{{correctAnswer0}}}{{{suffix0}}} |\r\n\r\n</div>"}]}]

Probability, NAPX-p167447v01 - 7aac7d59-2ddc-4c59-bac8-f161b402d47c - (July 08, 2021)

<div class="sm_mode"> Laura's country hut is visited by a possum twice every week. What is the probability that the possum visits her hut today? </div>

[{"vars":null}]

Probability, NAPX-K2-28 - 3d897634-07e1-49b9-9e43-08ea0e29282f - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/nap-K2-28.svg 200 indent vpad\r\n\nRoderick rolls a standard dice once.\r\n\r\nWhich of the following results is least likely?"},{"varval":"Consider the chance of each option:\r\n\n$P$(rolling an odd number) = $\\dfrac{3}{6}$\r\n\n$P$(rolling an even number) = $\\dfrac{3}{6}$\r\n\n$P$(rolling a 2 or 4) = $\\dfrac{2}{6}$\r\n\n$P$(rolling a 6) = $\\dfrac{1}{6}$\n\n$\\therefore$ {{{correctAnswer}}} is the least likely."}]},{"vars":[{"varval":"Rocky rolls a standard 6-sided dice once.\r\n\r\nWhich of the following is Rocky most likely to roll?"},{"varval":"Consider the probability of each option:\r\n\n$P$(greater than or equal to 3) = $\\dfrac{4}{6}$ = $\\dfrac{2}{3}$\r\n\n$P$(odd) = $\\dfrac{3}{6}$ = $\\dfrac{1}{2}$\r\n\n$P$(less than 4) = $\\dfrac{3}{6}$ = $\\dfrac{1}{2}$\r\n\n$P$(4 or 6)= $\\dfrac{2}{6}$ = $\\dfrac{1}{3}$\r\n \r\n\r\n$\\therefore$ {{{correctAnswer}}} is the most likely."}]}]

Probability, NAPX-p168996v02 - 2b5de747-e9a3-4578-877a-07433bfee6eb - (July 08, 2021)

<div class="sm_mode"> A standard deck of 52 cards is made up of four suits - Hearts, Diamonds, Clubs and Spades. Each suit contains 13 cards that include an Ace, King, Queen and Jack, together with numbered cards from 2 to 10. Lara has a standard deck of cards and without looking, picks a number 7 and returns it to the deck. She repeats this three times and draws a number 7 each time. If she draws a 4th card without looking, which of the following is true? </div>

[{"vars":null}]

Probability, NAPX7-TLA-4 v1 - f1904600-2d40-473f-836b-f111747c6b10 - (July 08, 2021)

var: Probability, NAPX7-TLA-4 v2

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The probability of rolling a number below 3 on a standard six-sided die is"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(rolling less than 3) | \\= $\\dfrac{\\text{favorable events}}{\\text{total possible events}}$ |\r\n| | \\= $\\dfrac{2}{6}$ |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The probability of rolling a number greater than 2 on a standard six-sided die is"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(rolling greater than 2) | \\= $\\dfrac{\\text{favorable events}}{\\text{total possible events}}$ |\r\n| | \\= $\\dfrac{4}{6}$ |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The probability of rolling an odd number on a standard six-sided dice is"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(rolling an odd) | \\= $\\dfrac{\\text{favorable events}}{\\text{total possible events}}$ |\r\n| | \\= $\\dfrac{3}{6}$ |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Probability, NAPX-p168032v01 - 1b4e673f-48b5-49dd-ace7-7188874d664a - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Marie rolls a fair dice 60 times.\r\n\r\nWhich result is most likely?"},{"varval":"The expected result is 10 rolls for each number.\r\n\n$\\therefore$ Most likely result is {{{correctAnswer}}}."}]},{"vars":[{"varval":"Rooster rolls a fair dice 24 times.\r\n\r\nWhich result is most likely?"},{"varval":"The expected result is 4 rolls land on each number.\r\n\n$\\therefore$ Most likely result is {{{correctAnswer}}}."}]}]

Number, NAPX-p107114v02 SA - a21c7c99-49f8-4dfe-b5b3-bdb60020c251 - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A charity calculates its total donations every month.\r\n\r\nOver a six month period, the amounts they calculate are as follows:\r\n\r\n\n> > $1520, $1270, $1600, $1310, $1430, $1288\r\n\r\n\n<br>\n\nWhat is the mean monthly donation the charity received over this 6 month period?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Mean | \\= $\\dfrac{1520+1270+1600+1310+1430+1288}{6}$ |\n| | \\= $\\dfrac{8418}{6}$|\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"A carwash calculates its total receipts every month.\r\n\r\nOver a six month period, the amounts they calculate are as follows:\r\n\r\n\n> > $31 450, $29 465, $24 385, $25 460, $28 700, $26 344\r\n\r\n\n<br>\n\nWhat is the mean monthly amount the carwash received over this 6 month period?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Mean | \\= $\\dfrac{31\\ 450+29\\ 464+24\\ 385+25\\ 460+28\\ 700+26\\ 344}{6}$ |\n| | \\= $\\dfrac{165\\ 804}{6}$|\r\n| | \\= $27 634 |\r\n\r\n</div>"}]},{"vars":[{"varval":"Gerwyn is recycling bottles and cans and calculates the amount he receives at the recycling depot.\r\n\r\nOver a six week period, the amounts he calculates are as follows:\r\n\r\n\n> > $16.70, $12.70, $21.40, $14.10, $18.30, $12.80\r\n\r\n\n<br>\n\nWhat is the mean weekly recycling amount Gerwyn received over this 6 week period?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Mean | \\= $\\dfrac{16.70+12.70+21.40+14.10+18.30+12.80}{6}$ |\n| | \\= $\\dfrac{96}{6}$|\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Bexley owns a delivery truck and calculates his delivery charges every month.\n\n\r\n\r\nOver a six month period, the amounts he calculated are as follows:\r\n\r\n\n> > $2452, $3400, $4510, $3567, $1243, $890\r\n\r\n\n<br>\n\nWhat is the mean monthly amount Bexley received over this 6 month period?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Mean | \\= $\\dfrac{2452+3400+4510+3567+1243+890}{6}$ |\n| | \\= $\\dfrac{16\\ 062}{6}$|\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"A parking station records the total number of cars parking there every day.\r\n\r\nOver a seven day period, the numbers of cars parking are recorded as follows:\r\n\r\n\n> > 846, 465, 786, 345, 682, 987, 782\r\n\r\n\n<br>\n\nWhat is the mean number of cars parking over this 7 day period?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Mean | \\= $\\dfrac{846+465+786+345+682+987+782}{7}$ |\n| | \\= $\\dfrac{4893}{7}$|\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"A landscaping company calculates the total number of kilograms of topsoil it sells every day.\n\r\n\r\n\nOver a seven day period, the amount of topsoil sold is calculated as follows:\r\n\r\n\n> > 345, 476, 256, 360, 481, 950, 240,\r\n\r\n\n<br>\n\nWhat is the mean amount of topsoil sold over this 7 day period?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Mean | \\= $\\dfrac{345+476+256+360+481+950+240}{7}$ |\n| | \\= $\\dfrac{3108}{7}$|\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]}]

Statistics, NAPX-K2-35 (1.25 min) - d5c1bd58-6ab2-4b82-b6f5-6bd63cd3ab06 - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This graph shows the number of men and women that registered to vote before a council election on different days of the week.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/nap-K2-35rev.svg 630 indent2 vpad\r\n\nOn which day is the difference between the number of men and women registering closest to 55?"},{"varval":"Each interval = 20 people\r\n\nDifference needs to be slightly smaller than 3 intervals.\n\n$\\Rarr$ {{{correctAnswer}}} is closest."}]},{"vars":[{"varval":"This graph shows the megalitres of E10 and premium 98 fuel sold in NSW for the last six months of 2021.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX-K2-35_v1_1.svg 630 indent2 vpad\r\n\nDuring which month is the difference between the megalitres of E10 and premium 98 fuel closest to 8 megalitres?"},{"varval":"Each interval = 5 megalitres\r\n\nDifference needs to be slightly smaller than 2 intervals.\n\n$\\Rarr$ {{{correctAnswer}}} is closest."}]},{"vars":[{"varval":"This graph shows the number of goals scored in basketball games by Mathew and Max over 5 games.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX-K2-35_v2.svg 580 indent2 vpad\r\n\nOn which game is the difference between the number of goals scored by Mathew and Max more that 5 but less than 10?"},{"varval":"Each interval = 5 goals\r\n\nDifference needs to be more than 1 and less than 2 intervals.\n\n$\\Rarr$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"This graph shows the comparison between the highest marks and the lowest marks over 5 mathematics tests for a Year 8 class.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX-K2-35_v3_1.svg 550 indent vpad\r\n\nIn which test is the difference between the highest and lowest marks closest to 25?"},{"varval":"Each interval = 2.5 marks\r\n\nDifference needs to be around than 10 intervals.\n\n$\\Rarr$ {{{correctAnswer}}} is closest."}]},{"vars":[{"varval":"This graph shows the number of men and women that attended the emergency department of a regional hospital on different days of the week.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX-K2-35_v4.svg 630 indent vpad\r\n\nOn which 2 days of the week is the difference between the number of men and women attending the emergency department the same?"},{"varval":"Each interval = 5 people\r\n\nDifference needs to be exactly the same.\n\n$\\Rarr$ {{{correctAnswer}}} difference = 5 people"}]},{"vars":[{"varval":"This graph shows the number of 17 year olds and 18 year olds getting their P-plates on different days of the week.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX-K2-35_v5.svg 700 indent2 vpad\r\n\nOn which day is the difference between the number 17 year olds and 18 year olds getting their P-plates closest to 20?"},{"varval":"Each interval = 5 people\r\n\nDifference needs to be closest to 4 intervals.\n\n$\\Rarr$ {{{correctAnswer}}} is closest."}]}]

Probability, NAPX-p167455v01 - 5b376865-1dd7-4034-a872-6cff59bae1d7 - (July 08, 2021)

<div class="sm_mode"> A bag of coloured balls contains 12 blue balls, 10 white balls, 6 black balls, 2 red balls, and 8 orange balls. Kimberly grabs a ball from the bag without looking. What is the probability that she grabs an orange ball? </div>

[{"vars":null}]

Statistics, NAPX-p168209v02 - d9237adf-cadb-49b7-96bc-0c27187a3b40 - (July 08, 2021)

<div class="sm_mode"> The time spent by Mark playing video games on his computer is recorded in a table. <br> <div class="sm-table row1-color1 heading-color1"> >>Time Spent Playing Games >>| Day | Time | |:-:|:-:| | Monday | 2 hours | | Tuesday | 35 minutes | | Wednesday | 40 minutes | | Thursday | 55 minutes | | Friday | 63 minutes | | Saturday | 29 minutes | </div> <br>What was the average time per day that Mark spent playing video games over this period? </div>

[{"vars":null}]

Statistics, NAPX-p167236v02 - 6f85d95e-9e7a-4145-9765-0c5d8cfae76e - (July 08, 2021)

<div class="sm_mode"> A store sells second hand mobile phones. The graph below shows the price of 2 similar second-hand phones. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q32.svg 230 indent3 vpad <br>Which of the following is true based on the graph shown? </div>

[{"vars":null}]

Geometry, NAPX-p110293v02 - 2ebd221b-a6f8-499d-a37a-e0c14a47649e - (July 08, 2021)

Geometry, NAPX-p110293v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A quadrilateral FGHI is moved to a new position labelled LMJK.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_70.svg 340 indent vpad\n\nWhich of these processes resulted in the new position of the quadrilateral?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_70-sol.svg 340 indent vpad\n\nReflection in the $x$-axis\n\n\r\n$FGHI → F\\prime G\\prime H\\prime I\\prime$\n\n\r\nTranslate the triangle 9 units to the left\n\n\r\n$F\\prime G\\prime H\\prime I\\prime → KJML$"}]},{"vars":[{"varval":"The triangle ABC is moved to the new position labelled XYZ.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_69.svg 350 indent vpad\n\nWhich of these processes resulted in the new position of the triangle?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_69-sol.svg 350 indent vpad\n\nReflection in the $y$-axis:\n\n\r\n$ABC → A\\prime B\\prime C\\prime$\n\n\r\nTranslate the triangle 5 units downward:\n\n\r\n$A\\prime B\\prime C\\prime → XYZ$"}]}]

Geometry, NAPX-E4-NC09 SA - b4ab49bc-a4a8-4605-bbc6-5581dce042a3 - (July 08, 2021)

I removed the italics from the multiple choice answers to match the image. Aside from that the only other problem is that the faces containing the B and D are not the right size. But they're close enough to get the idea as the question is about location of the triangle not the size of the shape.

<div class="sm_mode"> Milo is drawing the net of this box. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-NC09-SA_1.svg 200 indent vpad Where should he draw the $\large \blacktriangle$ shape on the box? sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-NC09-SA.svg 350 indent vpad </div>

[{"vars":null}]

Geometry, NAPX-p167266v01 - f62ffdde-46b0-4321-b704-4632865ff207 - (July 08, 2021)

Can't see any problems.

<div class="sm_mode"> Which dotted line is a line of symmetry? </div>

[{"vars":null}]

Geometry, NAPX-p107263v02 - 0372a0ff-46d5-4e3b-a138-280e2e6f8d62 - (July 08, 2021)

Image in question did not match image in solution. Also there were 2 solutions that created a symmetrical pattern A and C with the original question.

<div class="sm_mode"> Some shapes are missing in this pattern. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-p107263v02_q.svg 230 indent3 vpad When completed, the pattern has one line of symmetry. Which of these could be the missing part of the pattern? </div>

[{"vars":null}]

Geometry, NAPX-p109101v02 - f8ce1842-5400-456d-9615-bff1d4ea4d12 - (July 08, 2021)

Geometry, NAPX-p109101v01 Geometry, NAPX-F3-CA03 Var0 figure is red and blue was in solution. Var2 figure is blue and red was in question and solution.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Troy built a solid figure using cubes.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10-q38.svg 120 indent vpad\n\nHe paints all the outer sides red, including the base, and then separates the cubes.\n\n\r\n\r\nHow many faces are painted red?"},{"varval":"Number of faces painted red (top down, back to front)\n\n\r\n>>= 5 + 5 + 3 + 5 + 4 + 4 + 4\n\n\n\r\n>>= 30"}]},{"vars":[{"varval":"Sarah creates a solid figure using five cubes.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10-q37.svg 120 indent vpad\n\nShe paints all the outer sides lilac, including the base, and then separates the cubes.\n\n\r\n\r\nHow many faces are painted lilac?"},{"varval":"Number of faces painted lilac (top down, back to front)\n\n\r\n>>= 5 + 4 + 4 + 4 + 5\n\n\r\n>>= 22"}]},{"vars":[{"varval":"There are six cubes in this 3D puzzle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-F3-CA03_1.svg 160 indent vpad\n\nThe puzzle is completely dipped into blue paint.\n\n\r\n\r\nWhen the cubes are separated, how many faces will be blue?"},{"varval":"The number of blue faces on each cube is:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-CA03-Answer1.svg 180 indent vpad\n\nsm_nogap $\\therefore$ Total faces blue\n\r\n\n>>= 5 + 5 + 3 + 4 + 4 + 5\r\n\n>>= 26 "}]}]

Geometry, NAPX-J2-23 - 9be4dbab-26f8-45f3-a781-c32509aaaf3f - (July 08, 2021)

Billy followed these instructions to create a drawing: <div style="background-color: lightyellow; padding: 5px 25px 20px 15px; border: 2px solid; width: max-content; margin-left: 30px" > * Draw a rectangle. * Use one of the sides to draw a triangle with 2 equal sides. * Draw a line of symmetry through your completed drawing. </div> <br>Which of these did he draw?

[{"vars":null}]

Measurement, NAPX-p124026v01 - 144f2f24-728f-4303-b3bc-9ea3197637e3 - (July 08, 2021)

Could not really see anything wrong with this question/solution. Changed to "cubic units" in all options in worked solution from "cubes" eg 30 cubes -> 30 cubic units.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Clarence made these solid prisms out of identical cubes.\n\n\r\n\r\nWhich prism has the largest volume?"},{"varval":"Volume of each prism:\n\n\r\nOption 1: 5 × 2 × 3 = 30 cubic units\n\n\r\nOption 2: 7 × 1 × 4 = 28 cubic units\n\n\r\nOption 3: 7 × 2 × 2 = 28 cubic units\n\n\r\nOption 4: 3 × 3 × 3 = 27 cubic units\r\n \r\n\r\n$\\therefore$ The prism with the largest volume is\n\n{{{correctAnswer}}}\n"}]}]

Geometry, NAPX-G2-22 - e9f9bb63-2bdd-43ea-95f3-99deb06cfc8f - (July 08, 2021)

<div class="sm_mode"> Charity has the picture of a panda on her phone. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-22.svg 200 indent vpad She makes the picture half as wide and twice as high. How will the picture look after she does that? </div>

[{"vars":null}]

Geometry, NAPX-G2-19 - f65a8919-c97e-45e6-aec7-192316ca25af - (July 08, 2021)

<div class="sm_mode"> Romeo has a square piece of paper. He folds it in half twice and then cuts a piece off as shown below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-19v1.svg 320 indent vpad What will the square piece of paper look like after Romeo unfolds it? </div>

[{"vars":null}]

Geometry, NAPX-G2-16 - 53f90080-d450-41fe-8e07-c534b84a8da1 - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Mary stuck some different shapes onto the back window of her car.\n\r\nThey look like this from the outside.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-16v1.svg 200 indent vpad\n\n<br>What do they look like from inside the car?"},{"varval":"Consider the triangle from outside the car:\n\nThe triangle is under each of the other 3 shapes.\n\nFrom the inside of the car:\n\nThe triangle will be visible in full. \n\n<br>\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Maeve stuck some different shapes onto the back window of her car.\n\r\nThey look like this from the outside.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G2-16_v1.svg 250 indent vpad\n\n<br>What do they look like from inside the car?"},{"varval":"Consider the rectangle and hexagon from outside the car: \n\nThey are partially hidden by other shapes.\n\nFrom the inside of the car:\n\nThe rectangle and hexagon will be fully visible and in opposite positions.\n\n<br>\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Mitchell stuck some different shapes onto the back window of his car.\n\r\nThey look like this from the outside. \n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G2-16_v2q.svg 250 indent vpad\n\n<br>What do they look like from inside the car?"},{"varval":"Consider the triangle from outside the car:\n\nThe triangle is fully visible.\n\nFrom the inside of the car:\n\nThe triangle will be partially covered by the star and the rectangle and flipped to the other side.\n\n<br>\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Mick stuck some different shapes onto the back window of his car.\n\r\nThey look like this from the outside.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G2-16_v3q.svg 250 indent vpad\n\n<br>What do they look like from inside the car?"},{"varval":"Consider the arrows from outside the car:\n\nThe arrows are visible in full.\n\nFrom the inside of the car:\n\nThe arrows will be covered by both the shapes it overlaps and flipped to the other side.\n\n<br>\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Minnie stuck some different shapes onto the back window of her car.\n\r\nThey look like this from the outside.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G2-16_v4q.svg 250 indent vpad\n\n<br>What do they look like from inside the car?"},{"varval":"Consider the triangle from outside the car:\n\nThe triangle is under both of the shapes it overlaps.\n\nFrom the inside of the car:\n\nThe triangle will be visible in full and all shapes will be in reverse order from left to right. \n\n<br>\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Montgomery stuck some different shapes onto the back window of his car.\n\r\nThey look like this from the outside.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G2-16_v5q.svg 200 indent vpad\n\n<br>What do they look like from inside the car?"},{"varval":"Consider the oval from outside the car: \n\nThe oval is under each of the other 3 shapes.\n\nFrom the inside of the car:\n\nThe oval will be visible in full and all shapes will be in reverse order from left to right. \n\n<br>\n\n{{{correctAnswer}}}\n"}]}]

Test inline svg - c23c9fae-4a9c-4609-a2d1-0a1733eebb98 - (July 08, 2021)

<div class="sm_mode"> Inline svg test <svg xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:svg="http://www.w3.org/2000/svg" xmlns="http://www.w3.org/2000/svg" xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd" xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape" width="51.983917mm" height="26.326054mm" viewBox="0 0 51.983917 26.326054" version="1.1" id="svg8" inkscape:version="0.92.2 (5c3e80d, 2017-08-06)" sodipodi:docname="nap-b4-nc12-b.svg"> <defs id="defs2"/> <sodipodi:namedview id="base" pagecolor="#ffffff" bordercolor="#666666" borderopacity="1.0" inkscape:pageopacity="0.0" inkscape:pageshadow="2" inkscape:zoom="1.979899" inkscape:cx="116.59832" inkscape:cy="41.738749" inkscape:document-units="mm" inkscape:current-layer="layer3" showgrid="false" inkscape:window-width="1366" inkscape:window-height="715" inkscape:window-x="-8" inkscape:window-y="22" inkscape:window-maximized="1"/> <metadata id="metadata5"> <rdf:RDF> <cc:Work rdf:about=""> <dc:format>image/svg+xml</dc:format> <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/> <dc:title/> </cc:Work> </rdf:RDF> </metadata> <g inkscape:groupmode="layer" id="layer2" inkscape:label="Layer 2" transform="translate(-105.40175,-38.901821)" style="display:inline"> <g inkscape:label="Layer 1" inkscape:groupmode="layer" id="layer1"> <circle style="opacity:1;fill:none;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="path10" cx="54.617561" cy="49.614582" r="16.819941"/> <rect style="opacity:1;fill:none;fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="rect862" width="37.618126" height="36.995808" x="36.045307" y="30.90476"/> <rect style="opacity:1;fill:none;fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="rect864" width="51.983921" height="26.326052" x="105.40175" y="38.901821"/> </g> <g id="g826" transform="translate(41.955357,-8.6934522)"> <circle r="11.358954" cy="60.867371" cx="76.038177" id="path817" style="opacity:1;fill:none;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"/> <circle style="opacity:1;fill:none;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="circle819" cx="102.49651" cy="60.867371" r="11.358954"/> <rect y="49.508415" x="75.904549" height="22.651093" width="27.061039" id="rect821" style="opacity:1;fill:none;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"/> </g> <rect style="opacity:1;fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:0.40035436;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="rect829" width="28.012352" height="22.26721" x="117.38788" y="41.015831"/> <ellipse style="opacity:1;fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="path852" cx="53.519558" cy="99.176598" rx="23.786989" ry="12.027128"/> <rect style="opacity:1;fill:#ffffff;fill-opacity:1;fill-rule:nonzero;stroke:#000000;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="rect860" width="48.002975" height="24.190477" x="114.52678" y="86.845238"/> </g> <g inkscape:groupmode="layer" id="layer3" inkscape:label="Layer 3" style="display:inline" transform="translate(1.3427734e-6)"> <g id="g833"> <path sodipodi:nodetypes="cssscsc" inkscape:connector-curvature="0" id="path25" d="m 12.402411,2.3770818 c 0,0 23.224594,-0.4459326 27.706328,0 3.652261,0.3634001 10.121947,3.4068306 9.9792,11.3607082 -0.132115,7.361406 -6.324614,10.104952 -9.9792,10.444667 -1.927976,0.179217 -27.706328,0 -27.706328,0 0,0 -10.7300455,-0.702431 -10.7061602,-10.902688 C 1.719654,3.285371 12.402411,2.3770818 12.402411,2.3770818" style="fill:#ffffff;fill-opacity:1;stroke:none;stroke-width:0.260391px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"/> </g> <rect style="opacity:1;fill:none;fill-opacity:1;fill-rule:nonzero;stroke:none;stroke-width:0.39687499;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" id="rect835" width="51.983917" height="26.326054" x="-1.3427734e-006" y="1.3647461e-007"/> </g> </svg> </div>

[{"vars":null}]

MJDI Mutliple Choice (Multiple) - 1855c0ff-f98d-4fb6-ab17-2b7f7f32f623 - (July 08, 2021)

<div class="sm_mode"> Multiple choice with two answers of 5 </div>

[{"vars":null}]

MJDI Answer Box (single) - 557c67e3-30fe-436b-ba9a-a117f71b83f0 - (July 08, 2021)

<div class="sm_mode"> Answer box question (with a single answer box) </div>

[{"vars":null}]

Geometry, NAPX-p122209v02 - 52aed25d-124f-4321-ad35-fb798cc136c4 - (July 08, 2021)

Geometry, NAPX-p122209v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Kwan uses some blocks to make a cube and a rectangular prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-17v3.svg 300 indent3 vpad\n\n<br>How many blocks does Kwan use altogether?"},{"varval":"Blocks in cube = 3 × 3 × 3 = 27\n\n\r\nBlocks in rectangular prism = 2 × 3 × 3 = 18\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total blocks|= 27 + 18|\n||= 45|\n\r\n\n</div>"}]},{"vars":[{"varval":"Kelly uses some blocks to make the two prisms below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-17v2.svg 300 indent3 vpad\n\n<br>How many blocks does Kelly use altogether?"},{"varval":"Blocks in cube = 3 × 3 × 3 = 27\n\n\r\nBlocks in 2nd object (step) = 5 × 3 = 15\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total blocks|= 27 + 15|\n||= 42|\n\r\n\n</div>"}]},{"vars":[{"varval":"Faraji uses some blocks to make the two prisms below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v2.svg 320 indent3 vpad\n\n<br>How many blocks does Faraji use altogether?"},{"varval":"Blocks in cube = 4 × 4 × 4 = 64\n\n\r\nBlocks in 2nd object (step) = 8 × 3 = 24\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total blocks|= 64 + 24|\n||= 88|\n\r\n\n</div>"}]},{"vars":[{"varval":"Taraji uses some blocks to make the two prisms below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v3q.svg 300 indent3 vpad\n\n<br>How many blocks does Taraji use altogether?"},{"varval":"Blocks in rectangular prism = 4 × 3 × 3 = 36\n\n\r\nBlocks in prism (U-shaped) = 10 × 3 = 30\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total blocks|= 36 + 30|\n||= 66|\n\r\n\n</div>"}]},{"vars":[{"varval":"Calista uses some blocks to make the two prisms below.\n\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v4.svg 300 indent3 vpad\n\n<br>How many blocks does Calista use altogether?"},{"varval":"Blocks in first prism (E-shaped) = 8 × 4 = 32\n\n\r\nBlocks in rectangular prism = 3 × 6 × 4 = 72\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total blocks|= 32 + 72|\n||= 104|\n\r\n\n</div>"}]},{"vars":[{"varval":"Moses uses some blocks to make a cube and an F-shaped prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p122209v02_v5.svg 370 indent3 vpad\n\n<br>How many blocks does Moses use altogether?"},{"varval":"Blocks in cube = 3 × 3 × 3 = 27\n\n\r\nBlocks in F-shaped prism = 15 × 2 = 30\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total blocks|= 27 + 30|\n||= 57|\n\r\n\n</div>"}]}]

Geometry, NAPX-p121550v01 - d7e24cc3-7dc9-4015-ba83-60610a6d875e - (July 08, 2021)

<div class="sm_mode"> Celine sticks a pin in a fishing hook pictured below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-13v2.svg 160 indent2 vpad <br>She then rotates the fishing hook a quarter turn anti-clockwise. Which of the following shows Celine's hook after the rotation? </div>

[{"vars":null}]

Geometry, NAPX-p167872v01 - 8896807f-4539-4ff1-9853-a717fb8911ef - (July 08, 2021)

X did not have a horizontal line of symmetry. Redid X images

<div class="sm_mode"> Which letter has two lines of symmetry? </div>

[{"vars":null}]

Geometry, NAPX-p168430v01 - 8c581f0d-ae6f-4164-b026-9d23667beb46 - (July 08, 2021)

Corrected first sentence.

<div class="sm_mode"> A shape of an arrow head is folded in half along the dotted line. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10-q41.svg 200 indent vpad What geometrical figure is the folded shape? </div>

[{"vars":null}]

Docs - Inline image arithmetic example - ae1ac1ab-26ed-432c-b5e8-f748da146065 - (July 08, 2021)

<div class="sm_mode"> <div class="sm_img_inline"> <img src="https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10_shape2.png" style="height: 30px; width: 30px;"> = <img src="https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10_shape2.png" style="height: 30px; width: 30px;"> x 3 - 2 </div> </div>

[{"vars":null}]

Statistics, NAPX-p122921v02 - 5d209269-1399-43cf-a307-c07663213da5 - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The picture graph shows how many tonnes of concrete are needed for 4 jobs.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-23v3.svg 350 indent vpad\r\n\n<br>How many more tonnes of concrete does Job 1 need than Job 3?"},{"varval":"\nJob 1 needs 9 tonnes\r.\n\nJob 3 needs 7 tonnes.\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Extra tonnes | \\= $9 \\ − \\ 7$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"The goals scored by 4 players in a season of soccer were recorded in the graph below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-H2-26-SA-v2.svg 250 indent2 vpad\r\n\n\n<br>Simon scored 6 goals in the season.\n\nGigi scored 3 goals.\n\nHow many **more** goals did Henry score than Fiona?\n"},{"varval":"Since Simon scored 6 goals\n\n$\\rightarrow$ 1 soccer ball = 2 goals\n\nHenry scored 8 goals.\n\nFi scored 1 goal.\n\n$\\therefore$ Henry scored {{{correctAnswer0}}} more goals than Fiona."}]},{"vars":[{"varval":"The goals scored by 4 players in a season of soccer were recorded in the graph below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-H2-26-SA.svg 250 indent2 vpad\r\n\n<br>Fiona scored 8 goals in the season.\n\nSimon scored 5 goals.\n\nHow many **more** goals did Henry score than Gigi?"},{"varval":"Since Fiona scored 8 goals\n\n$\\rightarrow$ 1 soccer ball = 2 goals\n\nHenry scored 10 goals.\n\nGigi scored 5 goals.\n\n$\\therefore$ Henry scored {{{correctAnswer0}}} more goals than Gigi."}]}]

Number, NAPX7-TLA-2 v1 - a7af40ba-86ed-4864-a649-1c0661602c30 - (July 08, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sergio bought 8 golf balls for $28.00\r.\n\r\nThe average cost of one ball is"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Price of 1 ball | \\= $\\dfrac{28.00}{8}$ |\n| | \\= $\\dfrac{4 \\times 7}{4 \\times 2}$ |\n| | \\= $\\dfrac{7}{2}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Hamid bought 4 pies for $18.00.\r\n\r\nThe average cost of one pie is"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------:| -------------------------------- |\r\n| Price of 1 pie | \\= $\\dfrac{18.00}{4}$ |\r\n| | \\= $\\dfrac{2 \\times 9}{2 \\times 2}$ |\r\n| | \\= $\\dfrac{9}{2}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n</div>"}]},{"vars":[{"varval":"Nadia bought 6 bottles of juice for $9.00.\r\n\r\nThe average cost of one bottle is"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ---------------------:| ----------------------------------- |\r\n| Price of 1 bottle | \\= $\\dfrac{9.00}{6}$ |\r\n| | \\= $\\dfrac{3 \\times 3}{3 \\times 2}$ |\r\n| | \\= $\\dfrac{3}{2}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n</div>"}]},{"vars":[{"varval":"Petra bought 6 notebooks for $21.00.\r\n\r\nThe average cost of one notebook is"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------:| ----------------------------------- |\r\n| Price of 1 notebook | \\= $\\dfrac{21.00}{6}$ |\r\n| | \\= $\\dfrac{3 \\times 7}{3 \\times 2}$ |\r\n| | \\= $\\dfrac{7}{2}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n</div>"}]},{"vars":[{"varval":"Kobi bought 8 juice boxes for $6.00.\r\n\r\nThe average cost of one juice box is"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------:| ----------------------------------- |\r\n| Price of 1 juice box | \\= $\\dfrac{6.00}{8}$ |\r\n| | \\= $\\dfrac{2 \\times 3}{2 \\times 4}$ |\r\n| | \\= $\\dfrac{3}{4}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n</div>"}]},{"vars":[{"varval":"Yuki bought 8 pencils for $10.00.\r\n\r\nThe average cost of one pencil is"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------:| ----------------------------------- |\r\n| Price of 1 pencil | \\= $\\dfrac{10.00}{8}$ |\r\n| | \\= $\\dfrac{2 \\times 5}{2 \\times 4}$ |\r\n| | \\= $\\dfrac{5}{4}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n</div>"}]}]

Probability, NAPX-p170160v01 SA - 0aeb764e-f160-46f2-8988-5240301722a1 - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Harley has bag that contains 32 balls that are coloured either black or white.\r\n\r\nHarley chose a ball without looking and had the chance of 3 in 8 of choosing a white ball.\r\n\r\nHow many black balls are in Harley's bag?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of white balls | \\= $\\dfrac{3}{8} \\ \\times 32$ |\r\n| | \\= 12 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of black balls | \\= Total balls – white balls |\n| | \\= $32 \\ − \\ 12$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Ginger has a box of 48 ice-blocks in her fridge. Some ice-blocks have a prize on their paddle pop stick.\n\r\nGinger chooses one without looking and has a one in six chance of winning a prize.\n\r\nHow many ice-blocks in the box do not have a prize?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Ice-blocks with prizes | \\= $\\dfrac{1}{6} \\ \\times 48$ |\r\n| | \\= 8 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Ice-blocks with no prize | \\= $48 \\ − \\ 8$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Dave buys tickets in the meat raffle at the RSL club.\n\nA total of 56 tickets were sold and Dave has a 2 in 7 chance of winning a prize.\n\r\nHow many tickets sold will not win a prize?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of winning tickets| \\= $\\dfrac{2}{7} \\ \\times 56$ |\r\n| | \\= 16 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Losing tickets | \\= Total tickets – winning tickets|\n| | \\= $56 \\ − \\ 16$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Karen collects 81 grasshoppers for a research project.\n\nIf Karen chooses a grasshopper at random, there is a 2 in 3 chance it is a female.\n\r\nHow many male grasshoppers did Karen collect?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of females| \\= $\\dfrac{2}{3} \\ \\times 81$ |\r\n| | \\= 54 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number of males | \\= 81 – 54|\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Murray exhibits 54 of his best photos at an art gallery. His photos are either landscape photos or portraits.\n\nIf a visitor goes to the exhibition and looks at one of Murray's photos, there is a 2 in 9 chance it is a portrait.\n\r\nHow many landscape photos is Murray exhibiting at the gallery?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of portraits| \\= $\\dfrac{2}{9} \\ \\times 54$ |\r\n| | \\= 12 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Number landscapes | \\= 54 – 12|\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]}]

Algebra, NAPX-J4-NC08 - 21156325-1c7f-42d7-aab3-47bd90bf09a8 - (July 07, 2021)

<div class="sm_mode"> Complete the following equation, <br> $4^4 \ − \ 3^3 + \ 2^2 \ − \ 1^1=$ </div>

[{"vars":null}]

Algebra, NAPX-H2-14 - b8d23069-42f4-435e-b172-e3ade443ddf1 - (July 07, 2021)

<div class="sm_mode"> Donald created a number pattern by adding four to a number to get the next number. Which of these could be the first four numbers of Donald's pattern? </div>

[{"vars":null}]

Number, NAPX-p169590v01 - 89226a94-fa02-4034-8e09-3aa0779caef6 - (July 07, 2021)

<div class="sm_mode"> The table below shows the prices of different kinds of fruit sold at a supermarket. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/Math-Job-11-27.svg 620 indent vpad <br>Which type of fruit is the most expensive per kilogram? </div>

[{"vars":null}]

Number, NAPX-p107088v02 SA - c6c4fb37-9392-4426-8f8f-77760a192663 - (July 07, 2021)

Number, NAPX-p107088v01 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The product of three different positive whole numbers is 48.\n\nWhat is the smallest possible sum of the three different numbers?"},{"varval":"Testing possible combinations:\n\n48 = 24 × 2 × 1, sum = 27\n\n48 = 12 × 4 × 1, sum = 17\n\n48 = 8 × 6 × 1, sum = 15\n\n48 = 8 × 3 × 2, sum = 13\r\n\n48 = 6 × 4 × 2, sum = 12\n\n \r\n$\\therefore$ The smallest possible sum is {{{correctAnswer0}}}, made up of 6, 4 and 2."}]},{"vars":[{"varval":"The product of three different positive whole numbers is 60.\n\n\r\n\r\nWhat is smallest possible sum of the three different numbers?"},{"varval":"Testing some possible combinations:\n\n\r\n60 = 30 × 2 × 1, sum = 33\n\n\r60 = 10 × 3 × 2, sum = 15\n\n60 = 6 × 5 × 2, sum = 13\n\n60 = 5 × 4 × 3, sum = 12\r\n\n\r\n$\\therefore$ The smallest possible numbers are 5, 4 and 3, with a sum of {{{correctAnswer0}}}."}]},{"vars":[{"varval":"The product of three different positive whole numbers is 56.\n\n\r\n\r\nWhat is smallest possible sum of the three different numbers?"},{"varval":"Testing some possible combinations:\n\n\r\n56 = 28 × 2 × 1, sum = 31\n\n56 = 14 × 4 × 1, sum = 19\n\n56 = 8 × 7 × 1, sum = 16\n\n56 = 7 × 4 × 2, sum = 13\r\n \r\n\r\n$\\therefore$ The smallest possible numbers are 7, 4 and 2, with a sum of {{{correctAnswer0}}}."}]},{"vars":[{"varval":"The product of three different positive whole numbers is 42.\n\n\r\n\r\nWhat is smallest possible sum of the three different numbers?"},{"varval":"Testing some possible combinations:\n\n\r\n42 = 21 × 2 × 1, sum = 24\n\n\r42 = 14 × 3 × 1, sum = 18\n\n42 = 7 × 6 × 1, sum = 14\n\n42 = 7 × 3 × 2, sum = 12\r\n \r\n\r\n$\\therefore$ The smallest possible numbers are 7, 3 and 2, with a sum of {{{correctAnswer0}}}."}]},{"vars":[{"varval":"The product of three different positive whole numbers is 36.\n\n\r\n\r\nWhat is smallest possible sum of the three different numbers?"},{"varval":"Testing some possible combinations:\n\n36 = 18 × 2 × 1, sum = 21\n\n36 = 12 × 3 × 1, sum = 16\n\n36 = 9 × 4 × 1, sum = 14\n\n36 = 6 × 3 × 2, sum = 11\n\n$\\therefore$ The smallest possible numbers are 6, 3 and 2, with a sum of {{{correctAnswer0}}}."}]},{"vars":[{"varval":"The product of three different positive whole numbers is 40.\n\n\r\n\r\nWhat is smallest possible sum of the three different numbers?"},{"varval":"Testing some possible combinations:\n\n\r\n40 = 20 × 2 × 1, sum = 23\n\n40 = 10 × 4 × 1, sum = 15\n\n\r40 = 8 × 5 × 1, sum = 14\n\n40 = 5 × 4 × 2, sum = 11\n\n\n$\\therefore$ The smallest possible numbers are 5, 4 and 2, with a sum of {{{correctAnswer0}}}."}]}]

Algebra, NAPX-p109338v02 - fe00f7c9-7eb4-4920-9b73-a457550c31a7 - (July 07, 2021)

var: Algebra, NAPX-p109338v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_img_inline\">\n\nThe table shown below represents a rule of changing each  into a .\n</div>\n\n<br>\n\n>>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_Q54.svg 230 indent vpad\r\n\nWhich rule is used?"},{"varval":"Consider option 1:\r\n\n$5 \\times 4\\ −\\ 1 = 19$ $\\checkmark$\n\n$7 \\times 4\\ −\\ 1 = 27$ $\\checkmark$\n\n$9 \\times 4\\ −\\ 1 = 35$ $\\checkmark$\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"<div class=\"sm_img_inline\" style=\"height: 20px\">\n\nThe table below shows the results of a rule that changes each \r<img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10_shape1.png\" style=\"height: 40px;\"> into a <img src=\"https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10_shape2.png\" style=\"height: 50px;\">.\n\n</div>\n\r\n<br>\n\n>>sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10_Q53.svg 240 indent vpad\r\n\nWhich rule is used?"},{"varval":"Consider option 1:\r\n\n$2 \\times 4\\ −\\ 4 = 4$ $\\checkmark$\n\n$4 \\times 4\\ −\\ 4 = 12$ x\n\n<br>\n\nConsider option 2:\r\n\n$2 \\times 2\\ −\\ 2 = 4$ x\n\n<br>\n\nConsider option 3:\r\n\n$2 \\times 3\\ −\\ 2 = 4$ $\\checkmark$\n\n$4 \\times 3\\ −\\ 2 = 10$ $\\checkmark$\n\n$6 \\times 3\\ −\\ 2 = 16$ $\\checkmark$\n\n<br>\n\n\n{{{correctAnswer}}}"}]}]

NAPX-p109848v01 - d193cdf7-8a28-4d3e-a45c-950638eebf65 - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these numbers has 3 in the hundredths place?"},{"varval":"Digits in the decimal places are (in order):\n\nTenths, hundredths, thousandths, ...\n\n$\\therefore$ 12.43 is correct."}]},{"vars":[{"varval":"Which of these numbers has 7 in the thousandths place?"},{"varval":"Digits in the decimal places are (in order):\n\nTenths, hundredths, thousandths, ...\n\n$\\therefore$ 12.537 is correct."}]},{"vars":[{"varval":"Which of these numbers has 4 in the tenths place?"},{"varval":"Digits in the decimal places are (in order):\n\nTenths, hundredths, thousandths, ...\n\n$\\therefore$ 2.401 is correct."}]},{"vars":[{"varval":"Which of these numbers has 2 in the thousandths place?"},{"varval":"Digits in the decimal places are (in order):\n\nTenths, hundredths, thousandths, ...\n\n$\\therefore$ 83.4128 is correct."}]},{"vars":[{"varval":"Which of these numbers has 1 in the hundredths place?"},{"varval":"Digits in the decimal places are (in order):\n\nTenths, hundredths, thousandths, ...\n\n$\\therefore$ 83.4128 is correct."}]},{"vars":[{"varval":"Which of these numbers has 9 in the ten thoundandths place?"},{"varval":"Digits in the decimal places are (in order):\n\nTenths, hundredths, thousandths, ten thousandths ...\n\n$\\therefore$ 2.08497 is correct."}]}]

Algebra, NAPX-p168506v02 - 9cd71e4c-e189-45ee-81ea-0edb20e6167f - (July 07, 2021)

<div class="sm_mode"> The parallelogram shown below has width ($W$) and length ($L$). <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10-q47.svg 300 indent3 vpad <br>Which expression can be used as a perimeter of this figure? </div>

[{"vars":null}]

Algebra, NAPX-p122930v02 - 9cfe1ee4-1ddb-41d0-8f61-fb30b75fa1c1 - (July 07, 2021)

variants: Algebra, NAPX-K2-24

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\r\nA netball club receives 6 boxes containing 42 netballs each.\r\n\r\nIt then gives 7 balls to every team in the club and there are no balls left over.\r\n\r\nHow many teams are in the club?"},{"varval":"\r\nOne box (42 balls) supplies 6 teams with 7 balls each.\n\nsm_nogap $\\therefore$ Teams supplied by 6 boxes\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $6 \\times 6$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A soccer club receives 7 boxes containing 32 soccer balls each.\r\n\r\nIt then gives 8 soccer balls to every team in the club and there are no balls left over.\r\n\r\nHow many teams are in the club?"},{"varval":"One box (32 balls) supplies 4 teams with\r 8 balls each.\n\nsm_nogap $\\therefore$ Teams supplied by 7 boxes\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $7 \\times 4$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

Number, NAPX-p115611v04 SA - a597a88f-0696-473b-9d36-906af5e7e1ca - (July 07, 2021)

Number, NAPX-p115611v03 SA Number, NAPX-p115611v01 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A 5-cent coin has a mass of 3.1 grams.\n\n\r\n\r\nA 20-cent coin has a mass of 5.3 grams.\n\n\r\n\r\nJonathan has 198.4 grams of 5-cent coins.\n\n\r\n\r\nKevin has 964.6 grams of 20-cent coins.\n\n\r\n\r\nHow much more worth of coins does Kevin have than Jonathan?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Jonathan's total|= $\\dfrac{\\text{Total mass of coins}}{\\text{mass of 1 coin}} \\times$ 5 cents|\n| | |\n||= $\\dfrac{198.4}{3.1} \\times 5$|\n||= 64 × 5|\n||= 320 cents|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Kevin's total|= = $\\dfrac{964.6}{5.3} \\times 20$|\n||= 182 × 20|\n||= 3640 cents|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Difference|= 3640 $-$ 320|\n||= 3320 cents|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A 10-cent coin has a mass of 6.2 grams.\n\n\r\n\r\nA 5-cent coin has a mass of 2.9 grams.\n\n\r\n\r\nRico has 347.2 grams of 10-cent coins.\n\n\r\n\r\nJester has 301.6 grams of 5-cent coins.\n\n\r\n\r\nHow much more worth of coins does Rico have than Jester, in cents?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Rico's total|= $\\dfrac{\\text{Total mass of coins}}{\\text{mass of 1 coin}} \\times$ 10 cents|\n| | |\n||= $\\dfrac{347.2}{6.2} \\times 10$|\n||= 56 × 10|\n||= 560 cents|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Jester's total|= $\\dfrac{301.6}{2.9} \\times 5$|\n||= 104 × 5|\n||= 520 cents|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Difference|= 560 $-$ 520|\n||= 40 cents|\n\n</div>"}]},{"vars":[{"varval":"A 20-cent coin has a mass of 12.5 grams.\n\n\r\n\r\nA 5-cent coin has a mass of 2.9 grams.\r\n\r\nHarold has 487.5 grams of 20-cent coins.\n\n\r\n\r\nRick has 179.8 grams of 5-cent coins.\n\n\r\n\r\nHow much more worth of coins does Harold have than Rick, in cents?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\nHarold's total|= $\\dfrac{\\text{Total mass}}{\\text{mass 1 coin}} \\times$ 20 cents|\n| | |\n||= $\\dfrac{487.5}{12.5} \\times 20$|\n||= 39 × 20|\n||= 780 cents|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Rick's total|= $\\dfrac{179.8}{2.9} \\times 5$|\n||= 62 × 5|\n||= 310 cents|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Extra money|= 780 $-$ 310|\n||= 470 cents|\n\n</div>"}]}]

Algebra, NAPX-p169467v01 - 5750a31f-7958-4abc-a15f-4b6d20d68f9d - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Norman started cycling to stay fit.\r\n\r\nThe table below shows the distance he cycles on his rides.\n\n<br>\n\n<div class=\"sm-table col1-color1\">\n\n>>| **Bike Ride**| 1|2|3|4|5|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| **Distance (km)** | 4|6|10|18|**?**|\n\n</div>\n\n<br>The distance he cycles increases each ride and follows the rule:\r\n\r\n>> Double the last distance and deduct 2.\n\n<br>\n\n\r\n\r\nWhat is the distance travelled by Norman on his 5th ride?"},{"varval":"Using the rule:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Distance of 5th ride | \\= $(18 \\times 2) \\ - \\ 2$ |\r\n| | \\= 36 $-$ 2 |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Deek runs to stay fit.\r\n\r\nThe table below shows Deek's longest run each month over a period of 5 months.\n\n<br>\n\n<div class=\"sm-table col1-color1\">\n\n>>| **Month**| 1|2|3|4|5|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| **Longest distance (km)** | 5|6|8|12|**?**|\n\n</div>\n\n<br>Deek's longest run each month follows the rule:\r\n\r\n>> Double the last month's longest run and deduct 4.\n\n<br>\n\n\r\n\r\nWhat was Deek's longest run in month 5?"},{"varval":"Using the rule:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Longest run in month 5 | \\= $(12 \\times 2) \\ - \\ 4$ |\r\n| | \\= 24 $-$ 4 |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Susie is training to swim the English channel.\n\r\nThe table below shows Susie's longest swim each month over a period of 5 months.\n\n<br>\n\n<div class=\"sm-table col1-color1\">\n\n>>| **Month**| 1|2|3|4|5|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| **Longest swim (km)** | 2|3|6|15|**?**|\n\n</div>\n\n<br>Susie's longest swim each month follows the rule:\r\n\r\n>> Triple last month's longest swim and deduct 3.\n\n<br>\n\r\nWhat distance was Susie's longest swim in month 5?"},{"varval":"Using the rule:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Longest swim in month 5 | \\= $(15 \\times 3) \\ - \\ 3$ |\r\n| | \\= 45 $-$ 3 |\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Number, NAPX-I4-NC24 SA, NAPX-I3-NC28 SA - 7c3b530e-8165-4511-81b4-668620c8b855 - (July 07, 2021)

<div class="sm_mode"> Holly picks a 2 digit number at random. She can give the following clues about her number: * It is a square number. * It is divisible by 9. * It is not divisible by 4. What is Holly's number? </div>

[{"vars":[]}]

Measurement, NAPX-J2-41 SA - bcec92d5-a7d0-4c17-bb12-5fca9fe61fa9 - (July 07, 2021)

<div class="sm_mode"> Lucy sees this signpost at Snoopy World. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-J2-41-SA-v1.svg 410 indent vpad How many metres is it from the car park to Linus Lane? </div>

[{"vars":null}]

Algebra, NAPX-J2-33 - 65f0961f-03a1-449b-a2a8-a365dc02d5ac - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A cricket kit has white, pink and red cricket balls.\r\n\r\nThere are:\n\n\r\n\r\n* 4 more white balls than pink\n\n\r\n* 9 fewer pink balls than red\n\n\r\n* 11 red balls\n\n\r\nHow many balls, in total, are in the kit?"},{"varval":"Red balls = 11 (given)\n\n\r\n⇒ Pink balls = 11 − 9 = 2\n\n\r\n⇒ White balls = 2 + 4 = 6\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total balls|= 11 + 2 + 6|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"\nSergio's golf bag contains white, pink and yellow golf balls.\n\nThere are:\n\n* 6 more yellow balls than pink balls\r\n* 8 fewer pink balls than white balls\r\n* 13 white balls\n\n\r\nHow many golf balls, in total, are in Sergio's bag?"},{"varval":"13 white balls (given)\n\n\r\n⇒ 13 − 8 = 5 pink balls\n\n\r\n⇒ 5 + 6 = 11 yellow balls\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total balls| = 13 + 5 + 11|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Number, NAPX-p168435v02 - 93b98c39-96e7-4d64-b84a-dee39549e05b - (July 07, 2021)

Number, NAPX-p168435v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\r\nA student needs 12 folder dividers for each subject and is enrolled in 5 subjects.\n\nA school supply store sells the folder dividers in packets of 8.\n\nHow many packets should the student buy?"},{"varval":"Dividers required = 12 × 5 = 60\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Packets required| = $\\dfrac{60}{8}$|\n||= 7 remainder 4|\n||= 8 packets (round up) |\n\n</div>"}]},{"vars":[{"varval":"William needs 4 eggs for each cake he will bake.\n\n\r\n\r\nHe wants to make 12 cakes.\n\n\r\n\r\nA certain store sells eggs in bags of 5.\n\n\r\n\r\nHow many bags must he buy in order to make 12 cakes?"},{"varval":"Eggs required = 4 × 12 = 48\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Bags required| = $\\dfrac{48}{5}$|\n||= 9 remainder 3|\n||= 10 packets (round up) |\n\n</div>"}]}]

Number, NAPX-G3-NC30 - 49f5837e-5ab6-4f42-a58b-fecc5ba64fbe - (July 07, 2021)

<div class="sm_mode"> Five people had sticks of different lengths. Each person measured an 18 metre distance by counting how many stick lengths it took. The results were put into the table below. <br> <div class="sm-table row1-color8"> >>| Person | Stick lengths | |:-:|:-:| | John | 14| | Caroline | 18| | Paul | 36| | Simon | 42| | Ken | 45| </div> <br>Which person had a stick that was 40 centimetres long? </div>

[{"vars":null}]

Number, NAPX-p168201v01 - c405e144-2e37-48e3-b102-588bee75e946 - (July 07, 2021)

<div class="sm_mode"> Owen has 84 lego pieces. He built identical shapes that each used 11 lego pieces, with some lego pieces left over. How many identical shapes did Owen make? </div>

[{"vars":null}]

Number, NAPX-p169007v02 SA - 3e5e487f-36a4-40a5-b89d-43d31c2062d5 - (July 07, 2021)

<div class="sm_mode"> Eisha won a jar of candy with 366 pieces of candy in it at her school fete. She gave a hand full each to five of her friends. Eisha then counted the remaining candy and found she had 232 pieces left. How many pieces of candy did Eisha give to her friends? </div>

[{"vars":null}]

Number, NAPX-p168014v02 SA - 8fe69e07-7e69-468c-91da-4bb750c3aeee - (July 07, 2021)

<div class="sm_mode"> Catherine owns a walk-in wardrobe with 13 different types of bags. There are the same number of bags of each type. She has a total of 65 bags. How many bags of each type does she have? </div>

[{"vars":null}]

Number, NAPX-p111573v02 - d273d9aa-0005-48a1-b8fa-0ab6c770b67f - (July 07, 2021)

variants: Number, NAPX-p111573v01 Algebra, NAPX-p168204v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"320 $\\div$ <span class=\"sm-text color3\">?</span> = 40\r\n\n\nWhich of the following numbers make the number sentence above correct?"},{"varval":"Check each option:\r\n\nOption 1 - $320 \\div 8=40$ $\\checkmark$\n\nOption 2 - $320 \\div 16=20$\r x\n\nOption 3 - $320 \\div 80=4$\r x\n\nOption 4 - $320 \\div 20=16$\r x\n \r\n\r\n$\\therefore$ 8 makes the number sentence correct."}]},{"vars":[{"varval":"7 $\\times$ <span class=\"sm-text color3\">?</span>\n= 161\r\n\nWhat number will make the number sentence correct?"},{"varval":"Check each option\r\n\nOption 1: $7 \\times 13=91$\r x\n\nOption 2: $7 \\times 23=161$ $\\checkmark$\n\nOption 3: $7 \\times 154=1078$\r x\n\nOption 4: $7 \\times 161=1127$ x"}]}]

Statistics and Probability, NAPX-J4-CA34 SA - 212517fb-3ec0-49cc-a07d-0adca990015e - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ziggy throws darts at a board split into 4 sections and records which section they hit.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA34.svg 380 indent vpad\r\n\n<br>Based on Ziggy's data, what is the probability that a dart he throws will land in section 1 or 2?\r\n\r\nExpress your answer as a percentage rounded to the nearest tenth of a percent."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of throws | \\= 45 + 22 + 13 + 9 |\r\n| | \\= 89 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Probability (1 or 2) | \\= $\\dfrac{(45 + 22)}{89}$ |\r\n| | \\= $\\dfrac{67}{89}$ |\n| | \\= 0.7528 … |\n| | = {{{correctAnswer0}}}{{{suffix0}}} (nearest tenth) |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Jarrod throws darts at a board split into 4 sections and records which section they hit.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA34.svg 380 indent vpad\r\n\n<br>Based on Jarrod's data, what is the probability that a dart he throws will land in section 2 or 4?\r\n\r\nExpress your answer as a percentage rounded to the nearest tenth of a percent."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of throws | \\= 45 + 22 + 13 + 9 |\r\n| | \\= 89 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Probability (2 or 4) | \\= $\\dfrac{(22 + 9)}{89}$ |\r\n| | \\= $\\dfrac{31}{89}$ |\n| | \\= 0.3483...|\n| | = {{{correctAnswer0}}}{{{suffix0}}} (nearest tenth) |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Sigmund throws darts at a board split into 4 sections and records which section they hit.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA34.svg 380 indent vpad\r\n\n<br>Based on Sigmund's data, what is the probability that a dart he throws will land in section 3 or 4?\r\n\r\nExpress your answer as a percentage rounded to the nearest tenth of a percent."},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Number of throws | \\= 45 + 22 + 13 + 9 |\r\n| | \\= 89 |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Probability (3 or 4) | \\= $\\dfrac{(13 + 9)}{89}$ |\r\n| | \\= $\\dfrac{22}{89}$ |\n| | \\= 0.2471...|\n| | = {{{correctAnswer0}}}{{{suffix0}}} (nearest tenth) |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-H4-NC20, NAPX-H3-NC26 - 2fffd7f6-826f-4375-be1c-995fbcd2f975 - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A standard six-sided dice is rolled once.\r\n\r\nWhat is the probability that the number on the top face is a factor of 6?"},{"varval":"Factors of 6 are: 6, 1, 3, 2\r\n\nsm_nogap $\\therefore$ P(rolling a factor of 6)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{4}{6}$|\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A standard six-sided die is rolled once.\r\n\r\nWhat is the probability that the number on the top face is a factor of 12?"},{"varval":"Factors of 12 are: 12, 1, 6, 2\r, 3, 4\n\nsm_nogap $\\therefore$ P(rolling a factor of 12)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Felix has 8 buttons in his pocket numbered 1 to 8.\n\nHe picks one of the buttons without looking.\n\nWhat is the probability that the button is a factor of 12?"},{"varval":"Factors of 12 are: 12, 1, 6, 2\r, 3, 4\n\nsm_nogap $\\therefore$ P(choosing a factor of 12)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A standard six-sided dice is rolled once.\r\n\r\nWhat is the probability that the number on the top face is a factor of 4?"},{"varval":"Factors of 4 are: 4, 1, 2\r\n\nsm_nogap $\\therefore$ P(rolling a factor of 4)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{3}{6}$|\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Bobby has 10 discs in a bag that are numbered 1 to 10.\n\nHe picks one of the discs out of the bag without looking.\n\nWhat is the probability that the button is a factor of 6?"},{"varval":"Factors of 6 are: 6, 1, 2\r 3\n\nsm_nogap $\\therefore$ P(choosing a factor of 6)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n||= $\\dfrac{4}{10}$ |\n|||\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Veronique has 10 discs in a bag that are numbered 1 to 10.\n\nShe picks one of the discs out of the bag without looking.\n\nWhat is the probability that the button is a factor of 12?"},{"varval":"Factors of 12 are: 12, 1, 6, 2, 4,\r3\n\nsm_nogap $\\therefore$ P(choosing a factor of 6)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n||= $\\dfrac{5}{10}$ |\n|||\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Probability, NAPX9-TLD-CA20 SA v3 - c209c792-8e0b-4987-a0ff-fe876481bf31 - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Michael rolled a standard dice 76 times.\r\n\r\nHe wrote down if he rolled an odd or even number each time, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color8\">\n\n>>| Result| Number of times |\n|:-:|:-:|\n| Odd | 32|\n| Even| 44|\n\n</div>\n\n<br>What is the difference between the expected number of odd numbers and the actual number recorded?"},{"varval":"Probability of odd = $\\dfrac{3}{6}$ = $\\dfrac{1}{2}$\r\n\nsm_nogap Expected number of odd numbers\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{1}{2} \\times 76$ |\r\n| | \\= 38 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference | \\= 38 $-$ 32 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Penelope flipped a fair coin 128 times.\r\n\r\nShe wrote whether the toss was a head or tail each time, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color2\">\n\n>>| Result| Number of times |\n|:-:|:-:|\n| Head | 53|\n| Tail| 75|\n\n</div>\n\n<br>What is the difference between the expected number of tails and the actual number recorded?"},{"varval":"Probability of tail = $\\dfrac{1}{2}$\r\n\nsm_nogap Expected number of tails\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{1}{2} \\times 128$ |\r\n| | \\= 64 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference | \\= 75 $-$ 64 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Jevin rolled a standard dice 93 times.\r\n\r\nHe wrote down if he rolled a number above two each time, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color2\">\n\n>>| Result| Number of times |\n|:-:|:-:|\n| Above 2 | 56|\n| Not above 2| 37|\n\n</div>\n\n<br>What is the difference between the expected number of rolls that produced a number above two and the actual number recorded?"},{"varval":"Possible results = 1, 2, 3, 4, 5 or 6\n\nNumber of results above 2 = 4\n\nProbability of above 2 = $\\dfrac{4}{6}$ = $\\dfrac{2}{3}$\r\n\nsm_nogap Expected number rolls above 2\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{2}{3} \\times 93$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference | \\= 62 $-$ 56 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Campbell rolled a standard dice 15 times.\r\n\r\nHe wrote down what number he rolled each time, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color8\">\n\n>>| Result| Number of times |\n|:-:|:-:|\n| 1 or 2| 3|\n| 3 or 4| 5|\n| 5 or 6| 7|\n\n</div>\n\n<br>What is the difference between the expected number of times he rolled a 5 or 6, and the actual number of times recorded?"},{"varval":"Probability of 5 or 6 = $\\dfrac{2}{6}$ = $\\dfrac{1}{3}$\r\n\nsm_nogap Expected number of rolls\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{1}{3} \\times 15$ |\r\n| | \\= 5 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference | \\= 7 $-$ 5 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"James flipped a fair coin 42 times.\r\n\r\nHe wrote down if it was a head or tail each time, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| Result| Number of times |\n|:-:|:-:|\n| Head| 17|\n| Tail| 25|\n\n</div>\n\n<br>What is the difference between the expected number of tails and the actual number recorded?"},{"varval":"Probability of tail = $\\dfrac{1}{2}$\r\n\nsm_nogap Expected number of tails\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{1}{2} \\times 42$ |\r\n| | \\= 21 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference | \\= 25 $-$ 21 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Yoshi rolled a standard dice 26 times.\r\n\r\nHe wrote down if he rolled an odd or an even number each time, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color2\">\n\n>>| Result| Number of times |\n|:-:|:-:|\n| Odd | 16|\n| Even| 10|\n\n</div>\n\n<br>What is the difference between the expected number of rolls that produced an even number and the actual number recorded?"},{"varval":"Probability of even = $\\dfrac{3}{6}$ = $\\dfrac{1}{2}$\r\n\nsm_nogap Expected number of even rolls\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{1}{2} \\times 26$ |\r\n| | \\= 13 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference | \\= 13 $-$ 10 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-I4-NC20 - eb22764e-aaab-4e29-8f67-ef58465d931e - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A group of 85 people were asked if they have their ears pierced.\r\n\r\nThis table shows the results.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Pierced| Not Pierced | Total|\n|:-:|:-:|:-:|:-:|\n| Men| 10| 25|35|\n| Women | 35| 15|50|\n|Total|45|40|85|\n\n</div>\n\n<br>A man was selected at random.\r\n\r\nWhat is the probability that he does not have his ears pierced?"},{"varval":"sm_nogap $P$(man has ears pierced)\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number of men not pierced}}{\\text{total men}}$ |\n| | \\= $\\dfrac{25}{35}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A group of 65 kindergarten students were asked if they watched the cartoon Bluey.\n\r\nThis table shows the results.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Watched Bluey| Did Not Watch Bluey| Total|\n|:-:|:-:|:-:|:-:|\n| Boys| 21| 11|32|\n| Girls| 27| 6|33|\n|Total|48|17|65|\n\n</div>\n\n<br>One of the girls was selected at random.\r\n\r\nWhat is the probability that she watches Bluey?"},{"varval":"sm_nogap $P$(watches Bluey)\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number of girls that watch Bluey}}{\\text{total girls}}$ |\n| | \\= $\\dfrac{27}{33}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A group of 55 outback students were asked if they owned a horse.\n\r\nThis table shows the results.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Own a horse| Do not own a horse| Total|\n|:-:|:-:|:-:|:-:|\n| Boys| 21| 5|26|\n| Girls| 23| 6|29|\n|Total|44|11|55|\n\n</div>\n\n<br>One of the boys was selected at random.\r\n\r\nWhat is the probability that he does not own a horse?"},{"varval":"sm_nogap $P$(does not own a horse)\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number of boys with no horse}}{\\text{total boys}}$ |\n| | \\= $\\dfrac{5}{26}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A group of 48 mainland students were surveyed if they have visited Tasmania or not.\n\r\nThis table shows the results.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Visited Tasmania| Not Visited Tasmania| Total|\n|:-:|:-:|:-:|:-:|\n| Boys| 12| 6|18|\n| Girls| 18| 12|30|\n|Total|30|18|48|\n\n</div>\n\n<br>One of the girls was selected at random.\r\n\r\nWhat is the probability that she has not visited Tasmania?"},{"varval":"sm_nogap $P$(not travelled to Tasmania)\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number of girls not visited}}{\\text{total girls}}$ |\n| | \\= $\\dfrac{12}{30}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A researcher collected 60 live insect specimens for a study. The insects were either cicadas or wasps.\n\r\nThe researcher counted how many females and males of each type, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Cicada| Wasp| Total|\n|:-:|:-:|:-:|:-:|\n| Male| 17| 19|36|\n| Female| 14| 10|24|\n|Total|31|29|60|\n\n</div>\n\n<br>One of the wasps was selected at random.\r\n\r\nWhat is the probability that it was a female?"},{"varval":"sm_nogap $P$(wasp is a female)\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number of female wasps}}{\\text{total females}}$ |\n| | \\= $\\dfrac{10}{29}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Joe owns a private zoo that has 52 big cats made up of tigers and lions.\n\r\nJoe counted how many females and males of each type, and recorded the results in the table below.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Lions| Tigers| Total|\n|:-:|:-:|:-:|:-:|\n| Male| 8| 5|13|\n| Female| 25| 14|39|\n|Total|33|19|52|\n\n</div>\n\n<br>One of the female big cats was selected at random.\r\n\r\nWhat is the probability that it was a tiger?"},{"varval":"sm_nogap $P$(female is a tiger)\n\n<div class=\"aligned\">\r\n\r\n>>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number of female tigers}}{\\text{total females}}$ |\n| | \\= $\\dfrac{14}{39}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-I4-NC14 - 94e5ac4c-1b86-41d8-b329-b18c39aa5d55 - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Two fair 50 cent coins are tossed at the same time.\r\n\r\nWhat is the probability that a head and a tail will result?"},{"varval":"Possible outcomes are: \r\n\n>>HH, HT, TH, TT.\r\n\n<br>\n\n$\\therefore$ $P$(head and tail) = $\\dfrac{2}{4}$ = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Two fair $1 coins are tossed at the same time.\r\n\r\nWhat is the probability that two heads will result?"},{"varval":"Possible outcomes are: \r\n\n>>HH, HT, TH, TT.\r\n\n<br>\n\n$\\therefore$ $P$(two heads) = {{{correctAnswer}}}"}]},{"vars":[{"varval":"A fair 20-cent coin was tossed two times.\r\n\r\nWhat is the probability that two tails will result?"},{"varval":"<div class=\"sm-table row1-color8 heading-color8\">\n\n>>Possible Outcomes\n\n>>| 1st toss | 2nd toss |\n|:-:|:-:|\n| Head | Head |\n| Head | Tail |\n| Tail| Head|\n| Tail| Tail|\n\n</div>\n\n<br>\n\n$\\therefore$ $P$(two heads) = {{{correctAnswer}}}"}]}]

Statistics and Probability, NAPX-I4-CA19 - 0f9e2874-872a-4d43-9349-766a8f252711 - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Cedar surveyed 42 families about what brand of car they own.\r\n\r\nThe Venn diagram shows the results.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA19rev.svg 300 indent vpad\n\nWhat is the probability that a family randomly selected from the group owns both a Toyota and a VW, rounded to three decimal places?"},{"varval":"sm_nogap $P$(own both Toyota and VW)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{6}{42}$ |\n| | \\= 0.1428 … |\r\n| | \\= {{{correctAnswer}}} (to 3 d.p.) |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Ben surveyed 42 families about what brands of car they own.\r\n\r\nThe Venn diagram shows the results.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA19rev.svg 300 indent vpad\n\nWhat is the probability that a family randomly selected from the group owns a Toyota, rounded to three decimal places?"},{"varval":"sm_nogap $P$(owns a Toyota)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{13 + 6}{42}$ |\n| | \\= $\\dfrac{19}{42}$ |\n| | \\= 0.4523...|\r\n| | \\= {{{correctAnswer}}} (to 3 d.p.) |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Imogen surveyed 42 families about what brands of car they own.\r\n\r\nThe Venn diagram shows the results.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA19rev.svg 300 indent vpad\n\nWhat is the probability that a family randomly selected from the group owns a VW or a Toyota, but not both?"},{"varval":"sm_nogap $P$(owns only a Toyota or VW)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{13 + 7}{42}$ |\n| | \\= $\\dfrac{20}{42}$ |\n| | \\= 0.4761...|\r\n| | \\= {{{correctAnswer}}} (to 3 d.p.) |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-E4-CA12, NAPX-E3-CA17 - 15476557-ad47-4bd7-9ae2-916b647d87da - (July 07, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Billy has a sewing bag full of buttons where 65% of his buttons are red.\r\n\r\nBilly takes a black button from his bag and sews it onto his shirt.\r\n\r\nBilly then randomly takes a button from his sewing bag without looking.\r\n\r\nWhat are the chances it is red?"},{"varval":"After taking a black button, the sewing bag has same\r number of red and less non-red coloured buttons.\n\n$\\therefore$ Chances of a red are now {{{correctAnswer}}}"}]},{"vars":[{"varval":"Novak has a basket full of tennis balls to practice with where 75% of the balls are Slazenger brand and 25% are Wilson brand.\n\r\nNovak picks a Slazenger ball from the basket and practices his service.\n\r\nIf Novak immediately picks a second ball from the basket without looking, what are the chances it is a Slazenger ball?"},{"varval":"After serving with the first Slazenger ball, the basket now has same\r number of Wilson balls but one less Slazenger ball.\n\n$\\therefore$ Chances of the second ball being a Slazenger is {{{correctAnswer}}}"}]}]

Statistics and Probability, NAPX-E4-NC12 - 7cc5b0ad-1775-4be8-b91a-1f8a219da82d - (July 07, 2021)

<div class="sm_mode"> Quincy rolls one standard six-sided dice. Which of the following events has a probability of less than 0.5? </div>

[{"vars":null}]

Statistics and Probability, NAPX-I4-CA10 v1 - 33b2d4e6-d913-4698-ab58-0c7470986c60 - (July 07, 2021)

<div class="sm_mode"> Nerrili spins the arrow in a board game. The arrow has an equal chance of landing in each section. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/02/NAP9-A-10_.svg 200 indent3 vpad <br>What is the probability that Nerrili lands on a vowel? </div>

[{"vars":null}]

Number, NAPX-p115150v02 - 308240be-3483-460c-9ead-22b641705e1e - (July 07, 2021)

Number, NAPX-p115150v01 NAPX-G3-NC04

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sheryl has 90 cupcakes to sell to her customers.\n\n\r\n\r\nShe packed the cupcakes in boxes that fit 4 cupcakes.\n\n\r\n\r\nHow many full boxes of cupcakes can she sell?"},{"varval":"sm_nogap Number of boxes\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 90 ÷ 4|\n|= 22 remainder 2 |\n\n</div>\n\n<br>\n\n$\\therefore$ Sheryl can sell 22 boxes full of cupcakes."}]},{"vars":[{"varval":"Darren bought 141 eggs from the market.\n\n\r\n\r\nHe decided to put the eggs in cartons of 12.\n\n\r\n\r\nHow many full cartons of eggs does he have?"},{"varval":"sm_nogap Number of cartons of eggs\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 141 ÷ 12|\n|= 11 remainder 9 |\n\n</div>\n\n<br>\n\n$\\therefore$ Darren can make 11 full cartons of eggs."}]},{"vars":[{"varval":"Korin collects 150 carrots from his vegetable garden.\n\nHe puts the carrots in bunches of 12 carrots.\n\nHow many full bunches can he make?"},{"varval":"sm_nogap Number of full bunches\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 150 ÷ 12|\n|= 12 remainder 6|\n\n</div>\n\n<br>\n\r\n$\\therefore$ Korin can make {{{correctAnswer}}} full bunches."}]}]

Statistics, NAPX-J2-13 - 05f89466-0e21-47dc-8165-422a329c7923 - (July 06, 2021)

<div class="sm_mode"> Mr Newman asked his class a question and recorded the results in the table below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/10/NAPX-J2-13-v1.svg 400 indent vpad <br>Which question could Mr Newman have asked? </div>

[{"vars":null}]

Number, NAPX-H4-NC25 - 81b400c7-3b69-4add-9c36-c6caf8b462dd - (July 06, 2021)

<div class="sm_mode"> A backwards running group in Europe have a ratio of men to women of $7:4$. There are 12 more men than women in this group. How many people are in this group altogether? </div>

[{"vars":null}]

Number, NAPX-H4-NC19 SA - f207d584-6ac8-4edc-9d90-0ca391dc4500 - (July 06, 2021)

<div class="sm_mode"> Luigi packs boxes with different types of pasta. He packs one box at a time. Each box contains 5 packets of spaghetti, 2 packets of fettucini and 1 packet of penne pasta. Every hour Luigi packs 400 packets of pasta in total. How many packets of spaghetti does he pack into boxes in one hour. </div>

[{"vars":null}]

Statistics, NAPX-J2-29 - fb7253cb-6a56-4305-89ab-ed2ba8af5950 - (July 06, 2021)

Statistics, NAPX-I3-NC04, NAPX-I2-12 Statistics, NAPX-p110558v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Patrick counts the number of moths he has collected.\r\n\r\n* 9 Bogon moths\r\n* 3 Atlas moths\r\n* 6 Gypsy moths\n\n<div class=\"sm_img_inline\">\r\n\nIn each picture graph below,  = 3 moths\r\n\r\nSelect the picture graph that shows the number of moths Patrick counts.\n\n</div>"},{"varval":"<div class=\"sm_img_inline\">\r\n\n = 3 moths\n\n = 6 moths\n\n = 9 moths\n\n<br>\n\n{{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"A charity event was held over three weeks. \n\nIn the first week $5000 was raised, in the second week $3500 was raised and in the last week $2000 was raised.\r\n\r\nIn the tables below, O = $500\r\n\r\nWhich table correctly shows the amount of donations raised in the 3 weeks?"},{"varval":"\"O\" represents $500 in donations.\r\n\n\"O\" symbols required\n\n1st week: 5000 $\\div$ 500 = 10\r\n\n2nd week: 3500 $\\div$ 500 = 7\r\n\n3rd week: 2000 $\\div$ 500 = 4\r\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH8-Q24-A.svg 250 indent vpad"}]},{"vars":[{"varval":"Tim was recording the colour of cars that drove past his school in 1 hour.\n\nIn the hour, Tim saw 14 blue, 8 silver and 6 white cars.\n\nIn the tables below, $X$ = 2 cars.\n\nWhich table correctly shows the number of cars that Tim saw?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-NC04b.svg 220 indent vpad\n\n<div class=\"sm_mode\">\n\n<div class=\"no-margin-bottom\">\n\nSince $X$ = 2 cars,\n\n</div>\n\n<div class=\"aligned\">\n\n| | |\n| ------------- | ------------ |\n| 14 Blue cars | \\= 7$$X$$ |\n| 8 Silver cars | \\= 4$$X$$ |\n| 6 White cars | \\= 3$$X$$ |\n\n</div>\n\n</div>"}]}]

Statistics, NAPX-p167881v02 - dfdb556a-684c-4cda-b50c-374cb5c0a109 - (July 06, 2021)

<div class="sm_mode"> A menswear store recoded the number of items it sold in four different categories. What category makes up 60% of the total number of items sold? <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/raph10-q8.svg 300 indent3 vpad </div>

[{"vars":null}]

Number, NAPX-p109430v02 SA - 2519c654-612c-400b-8fb0-cc52af7cb04d - (July 06, 2021)

Number, NAPX-p109430v01 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Alejandro makes sangria for his Spanish restaurant.\n\n\r\n\r\nA glass of sangria has a mass of 240 grams and contains 120 millilitres of sangria.\n\n\r\n\r\nWhat is the total mass of the glasses that contain 3.6 litres of sangria?\n"},{"varval":"1 litre = 1000 mL\n\n\r\n3.6 litres = 3600 mL\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Number of glasses|= $\\dfrac{3600}{120}$|\n||= 30|\n\n</div>\n\n<br>\n\nsm_nogap Since every glass weighs 240 grams,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Total mass|= 30 × 240|\n||= 7200 grams|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Fillon produces fresh milk.\n\n\r\n\r\nA bottle of milk contains 500 millilitres and has a mass of 600 grams.\n\n\r\n\r\nHow many litres of milk has Fillon produced if the bottles have a total mass of 15 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n\r\n15 kilograms = 15 000 grams\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Number of bottles|= $\\dfrac{15 000}{600}$|\n||= 25|\n\n</div>\n\n<br>\n\nsm_nogap Since there is 500 mL in each bottle,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume|= 25 × 500|\n||= 12 500 mL|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Ralph makes an energy breakfast juice for his cafe.\n\n\r\n\r\nOne bottle of the juice has a mass of 225 grams and contains 150 millilitres of juice.\n\n\r\n\r\nWhat is the total mass of the bottles that contain 6 litres of juice?"},{"varval":"1 litre = 1000 mL\n\n\r\n6 litres = 6000 mL\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Number of glasses|= $\\dfrac{6000}{150}$|\n||= 40|\n\n</div>\n\n<br>\n\nsm_nogap Since every glass weighs 225 grams,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Total mass|= 40 × 225|\n||= 9000 grams|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Gill makes avocado juice that he sells to health cafes.\n\n\r\n\r\nA bottle of avocado juice contains 325 millilitres and has a mass of 450 grams.\n\n\r\n\r\nHow many litres of avocado juice has Gill made if the bottles have a total mass of 36.9 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n\r\n36.9 kilograms = 36 900 grams\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Number of bottles|= $\\dfrac{36\\ 900}{450}$|\n||= 82|\n\n</div>\n\n<br>\n\nsm_nogap Since there is 325 mL in each bottle,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume|= 82 × 325|\n||= 26 650 mL|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Jeremiah makes a vegetable soup that he sells in bottles to vegan restaurants.\n\nOne bottle has a mass of 675 grams and contains 600 millilitres of vegetable soup.\n\nWhat is the total mass of the bottles that contain 8.4 litres of vegetable soup?"},{"varval":"1 litre = 1000 mL\n\n\r\n8.4 litres = 8400 mL\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Number of bottles|= $\\dfrac{8400}{600}$|\n||= 14|\n\n</div>\n\n<br>\n\nsm_nogap Since every bottle weighs 675 grams,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Total mass|= 14 × 675|\n||= 9450 grams|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Luigi makes pasta sauce for his Italian restaurant.\n\n\r\n\r\nOne bottle of pasta sauce has a mass of 250 grams and contains 200 millilitres of pasta sauce.\n\n\r\n\r\nWhat is the total mass of the bottles that contain 5 litres of pasta sauce?"},{"varval":"1 litre = 1000 mL\n\n\r\n5 litres = 5000 mL\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Number of bottles|= $\\dfrac{5000}{200}$|\n||= 25|\n\n</div>\n\n<br>\n\nsm_nogap Since every bottle weighs 250 grams,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Total mass|= 25 × 250|\n||= 6250 grams|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Greg produces special oil mix for racing cars that he sells in tins.\n\n\r\n\r\nOne tin of oil contains 500 millilitres of oil and has a mass of 750 grams.\n\n\r\n\r\nHow many litres of oil has Greg produced if the tins have a total mass of 30 kilograms?"},{"varval":"1 kilogram = 1000 grams\n\n30 kilograms = 30 000 grams\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Number of bottles|= $\\dfrac{30\\ 000}{750}$|\n||= 40|\n\n</div>\n\n<br>\n\nsm_nogap Since there is 500 mL in each bottle,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume|= 40 × 500|\n||= 20 000 mL|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Number, NAPX-p169124v01 - c6786f29-2be9-4a9e-8930-7eb58836fbb0 - (July 06, 2021)

Can't find anything wrong with this question/solution.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Oggy's gym is 3 kilometres away from his apartment.\r\n\r\nHe jogs there at a constant speed of 10 kilometres per hour.\n\n\r\n\r\nHow many minutes does it take for Oggy to get to the gym from his apartment?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Time|= $\\dfrac{\\text{Distance}}{\\text{Speed}}$|\n||= $\\dfrac{3}{10}$ hr|\n||= $\\dfrac{3}{10}\\ \\times$ 60 minues|\n||= {{{correctAnswer}}} minutes|\n\n</div>"}]}]

Number, NAPX-G3-NC23 SA - 0e3bcb5e-48fc-43d7-833e-6e2be02c1a63 - (July 06, 2021)

<div class="sm_mode"> Health insurance for his family costs Rex $90 per week. How much does it cost him over 52 weeks? </div>

[{"vars":null}]

Number, NAPX-p169640v01 - d76a305c-972d-4d5d-a861-9bd2c24c9896 - (July 06, 2021)

<div class="sm_mode"> A chemist makes 70 millilitres of a compound by mixing 20 millilitres of Chemical A and 50 millilitres of Chemical B. If 250 millilitres of Chemical B is used to make a larger batch of the compound, how much Chemical A is needed? </div>

[{"vars":null}]

Number, NAPX-I4-CA03 - d3f5f68b-9520-4be0-990f-4e7bae8f3c60 - (July 06, 2021)

Changed acres to hectares.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"On Farmer Jim's property, he allocates 2 hectares of land to one cow. \n\n\rHow many cows would Farmer Jim allocate to a 12 hectare paddock?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Cows|= $\\dfrac{12}{2}$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"On a fish farm, 3 square metres of a pond is allocated to one large adult fish. \n\nHow many large adult fish could be allocated to a 15 square metre pond?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Large adult fish|= $\\dfrac{15}{3}$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"On Yvette's market garden, she allocates 3 square metres of garden to one pumpkin vine. \n\nHow many pumpkin vines could Yvette allocate to a 36 square metre garden?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Pumpkin vines|= $\\dfrac{36}{3}$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"At a garden nursery, pallets are used to stack pots. \n\nThe nursery allocates 2 square metres of floor space to each pallet.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/euro-pallet-161949.svg 250 indent3 vpad\n\nHow many pallets would be allocated to a 28 square metre floor space?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Pallets|= $\\dfrac{28}{2}$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"In a shopping centre carpark, each car is allocated 9 square metres of parking space.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/06/automobile-1300467.svg 250 indent3 vpad\n\nHow many cars would be allocated to a 54 square metre section of carpark?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Cars|= $\\dfrac{54}{9}$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"On his farm, Neville allocates 1.5 hectares of land to one alpaca.\n\nHow many alpacas would be allocated to a 15 hectare property?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Alpacas|= $\\dfrac{15}{1.5}$|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Algebra, NAPX-p109760v01 - be483c23-db8e-46bf-9057-cc10ce2c793c - (July 06, 2021)

var: Algebra, NAPX-p115542v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The corners of a certain parallelogram are shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/36s.svg 350 indent vpad\r\n\nWhich point in the graph represents the fourth point?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/36.svg 350 indent vpad\n\n\r\nConsider the top left point on the graph (– 1, – 1),\r\n\nThe point below is 3 grid lines down and three left.\r\n\nConsider the top right point on the graph (4, – 1),\r\n\nThe point {{{correctAnswer}}} is 3 grid lines down and three left."}]},{"vars":[{"varval":"Shane is drawing a repeated pattern in the grid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q42.svg 450 indent vpad\n\nWhich of these points will be part of Shane’s pattern?\r\n"},{"varval":"If the pattern continues:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/Math-Job-Q42Answer.svg 450 indent vpad\r\n\nThe point {{{correctAnswer}}} will be part of the pattern."}]},{"vars":[{"varval":"Ricardo is drawing a repeating pattern on this grid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-CA19.svg 500 indent vpad\n\nWhich of these points will be part of Ricardo's pattern?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-CA19-Answer.svg 500 indent vpad"}]}]

Algebra, NAPX-p169742v01 - b272d337-61b7-48c7-b47e-45fe959697b3 - (July 06, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Three corners of a rectangle are shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35.svg 350 indent vpad\r\n\nWhich point represents the fourth corner of the rectangle?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35s.svg 350 indent vpad\r\n\nConsider the top left point on the graph (-1, 1)\r.\n\nThe point below is 3 grid lines down.\r\n\nConsider the top right point on the graph (3, 1),\r\n\nThe point {{{correctAnswer}}} is 3 grid lines down."}]},{"vars":[{"varval":"Three corners of a parallelogram are shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35.svg 350 indent vpad\r\n\nWhich point could represent the fourth corner of the parallelogram?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/35-var-1.svg 350 indent vpad\n\nConsider the bottom left point on the graph $(-1, -2)$:\n\nOne point it joins is 4 grids to the right and 3 grids up.\n\nConsider the top left point on the graph $(-1, 1)$:\n\nThe last point {{{correctAnswer}}} is 4 grids to the right and 3 grids up."}]},{"vars":[{"varval":"Three corners of a parallelogram are shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35.svg 350 indent vpad\r\n\nWhich point could represent the fourth corner of the parallelogram?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/35-var-2.svg 350 indent vpad\n\nConsider the top right point on the graph $(3, 1)$:\n\nOne point it joins is 3 grids down and 4 grids to the left.\n\nConsider the top left point on the graph $(-1, 1)$:\n\nThe last point {{{correctAnswer}}} 3 grids down and 4 grids to the left."}]}]

Algebra, NAPX-p167449v02 - 39162593-9e13-4bb6-84ef-a27b682b1c63 - (July 06, 2021)

var: Algebra, NPAX-p167453v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jason creates the following figures using toothpicks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-18.svg 580 indent vpad\r\n\n<br>How many toothpicks will figure 9 have?"},{"varval":"Each succeeding figure adds 5 extra toothpicks.\r\n\nFigure 4: 21 toothpicks\r\n\nFigure 5: 26 toothpicks\r\n\nFigure 6: 31 toothpicks\r\n\nFigure 7: 36 toothpicks\r\n\nFigure 8: 41 toothpicks\r\n\n$\\therefore$ Figure 9 will have 46 toothpicks"}]},{"vars":[{"varval":"Andrew produced a pattern of small stars and diamonds.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-22.svg 580 indent vpad\r\n\n<br>If this pattern continues how many diamonds will the 9th figure contain?\n"},{"varval":"Each succeeding figure adds 2 diamonds\r\n\nNumber of diamonds\r\n\nFigure 4 = 7 diamonds\r\n\nFigure 5 = 9 diamonds\r \n\nFigure 8 = 15 diamonds\r\n\n$\\therefore$ Figure 9 contains {{{correctAnswer}}} diamonds."}]}]

Algebra, NAPX-p168016v01 - 75d4eedd-ddfd-425a-a963-690ef74d6de2 - (July 06, 2021)

<div class="sm_mode"> Amelia is making a pattern using flowers. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/raph10-q21.svg 580 indent vpad <br>The table below shows the number of flowers she needs for the pattern to be complete. <br> <div class="sm-table col1-color2"> >>| Number Pattern | 1 |2|3|4|5| |:-:|:-:|:-:|:-:|:-:|:-:| | Number of Flowers| 2|4|6|8|**?**| </div> <br>How many flowers will appear in pattern #5? </div>

[{"vars":null}]

Algebra, NAPX-K2-08 v1 - 2a52c6c7-dafd-4175-865d-a1a980b1ed65 - (July 06, 2021)

var: Algebra, NAPX-K2-08

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Krusty is using matchsticks to make a pattern of rectangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/ALGEBRANAPX-K2-08V1-AAa-1.svg 450 indent vpad\n\n\r\n<br>How many matchsticks will Krusty need to make Rectangle 5?"},{"varval":"\r\nEach rectangle has 4 extra matchsticks.\n\nRectangle $4 = 14 + 4 = 18$\r\n\nRectangle $5 = 18 + 4 = 22$"}]},{"vars":[{"varval":"Lynx is using matchsticks to make a pattern of triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/12/NAPX-K2-08.svg 600 indent vpad\r\n\n<br>How many matchsticks will Lynx need to make Pattern 6?"},{"varval":"Method 1: \n\nEach pattern has 2 matchsticks added\n\n>>Pattern 4 = 7 + 2 = 9\n\n>>Pattern 5 = 9 + 2 = 11\n\n>>Pattern 6 = 11 + 2 = {{{correctAnswer}}} matchsticks\n\n<br>Method 2: (Advanced)\n\n>>Pattern 1 = $3 \r+2 \\times 0 = 3$\n\n>>Pattern 2 = $3 + 2 \\times 1 = 5\r$\n\n>>Pattern 3 = $3 + 2 \\times 2 = 7\r$\n\n>>Pattern 4 = $3 + 2 \\times 3 = 9$\n\n<br>$\\therefore$ following this pattern\n\n>>Pattern $6 =3+2 \\times 5={{{correctAnswer}}}$ matchsticks"}]}]

Algebra, NAPX-p115106v01 - de19c19c-ac1b-49e8-b098-c16a2296a36b - (July 06, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A food delivery company provides 3 levels of service: Regular, Moderate and Premium.\r\n\r\nRegular service costs $15.50 less than Moderate service.\r\n\r\nRegular service costs $45.80 less than Premium service.\r\n\r\nWhich of these equations correctly represents the cost of Moderate service?"},{"varval":"sm_nogap Extra cost of Premium service over Moderate service\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $45.80 \\ − \\ 15.50$ |\n| \\= $30.30 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"A delivery company provides 3 levels of service: Regular, Moderate and Premium.\r\n\r\nRegular service costs $10.20 less than Moderate service.\r\n\r\nRegular service costs $25.80 less than Premium service.\r\n\r\nWhich of these equations correctly represents the cost of Moderate service?"},{"varval":"sm_nogap Extra cost of Premium service over Moderate service\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $25.80 \\ − \\ 10.20$ |\n| \\= $15.60 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"A catering company provides grazing boxes in 3 sizes: Small, Medium and Large.\r\n\r\nA Small box costs $8.50 less than the Medium box.\r\n\r\nA Small box costs $24.30 less than the Large box.\r\n\r\nWhich of these equations correctly represents the cost of Medium box?"},{"varval":"sm_nogap Extra cost of a Large box over a Medium box\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $24.30 \\ − \\ 8.50$ |\n| \\= $15.80 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"The remaining tickets for \"Disney on Ice\" come in 3 price levels: Front Row, Premium and VIP.\r\n\r\nA VIP ticket costs $12.00 less than a Premium ticket.\r\n\r\nA VIP ticket costs $56.00 less than a Front Row ticket.\r\n\r\nWhich of these equations correctly represents the cost of a Premium ticket?"},{"varval":"sm_nogap Extra cost of a Front Row ticket over a Premium ticket\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $56.00 \\ − \\ 12.00$ |\n| \\= $44.00 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"Jocasta is headed to New Zealand for her birthday and is searching flights. \n\nIn order of cost, Qantas had the most expensive tickets, then Air New Zealand followed by Jetstar as the cheapest.\r\n\r\nA Jetstar ticket costs $75.00 less than an Air New Zealand ticket. \r\n\r\nA Jetstar ticket costs $118.00 less than a Qantas ticket.\r\n\r\nWhich of these equations correctly represents the cost of an Air New Zealand ticket?"},{"varval":"sm_nogap Extra cost of a Qantas ticket over Air New Zealand ticket\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $118.00 \\ − \\ 75.00$ |\n| \\= $43.00 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"A cinema complex provides 3 levels of movie tickets: Gold Class, V-Max and Original.\r\n\r\nOriginal tickets cost $5.00 less than V-Max tickets.\r\n\r\nOriginal tickets cost $21.50 less than Gold Class tickets.\r\n\r\nWhich of these equations correctly represents the cost of a V-Max ticket?"},{"varval":"sm_nogap Extra cost of Gold Class tickets over V-Max tickets\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $21.50 \\ − \\ 5.00$ |\n| \\= $16.50 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}"}]}]

Algebra, NAPX-p109130v01 - 923bf6c9-67a2-4a9e-aa36-35d3106811e7 - (July 06, 2021)

var: Algebra, NAPX-p109130v02

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A college marching band is made up of 102 people.\r\n\r\nThere are 24 more men than women.\r\n\r\nHow many women are there?"},{"varval":"Strategy 1\r\n\nCheck each option:\r\n\n$30+(30+24)=84$ x\n\n$39+(39+24)=102$ $\\checkmark$\n\n$\\therefore$ There are 39 women.\n\n<br>\n\nStrategy 2\n\nThere are 24 more men than women.\r\n\nLet $\\ W$ = number of women\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $W+(W+24)$ | \\= 102 |\n| $2W$ | \\= 78 |\r\n| $\\therefore W$ | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"\r\nOn a given day, the RSPCA had 87 lost dogs and cats in its care.\r\n\r\nIf there was 11 more dogs than cats, how many dogs were there?"},{"varval":"Strategy 1\r\n\nCheck each option:\r\n\n$38+(38\\ −\\ 11)=65$ x\n\n$49+(49\\ −\\ 11)=87$ $\\checkmark$\n\n$\\therefore$ There are 49 dogs.\n\n<br>\n\nStrategy 2\n\nThere are 11 more dogs than cats.\r\n\nLet $\\ D$ = number of dogs\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $D+(D\\ − \\ 11)$ | \\= 87 |\n| $2D$ | \\= 98 |\r\n| $\\therefore D$ | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"An AFL club has 68 junior players registered.\n\nThere are 10 more girls registered than boys.\n\nHow many boys are registered with the club?"},{"varval":"<div class=\"sm_mode\">\n\nStrategy 1\n\nBy trial and error:\n\nIf number of boys = 29,\n\nsm_nogap Total players\n\n<div class=\"aligned\">\n\n>| |\n| -------------------- |\n| = 29 + 29 + 10 | \n| = 68 $\\checkmark$| \n\n\n</div>\n\n<br>\n\n\nStrategy 2\n\nsm_nogap Let $\\ \\large n$ = number of boys registered\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\large n + n$ + 10 | \\= 68 |\n| 2$\\large n$ | \\= 58 |\n| $\\large n$ | \\= 29 |\n\n</div>\n\n<br>\n\n$\\therefore$ {{correctAnswer}} boys are registered.\n\n</div>"}]},{"vars":[{"varval":"At the fishing club weigh-in there were 45 fish weighed in.\n\nThere were 17 more flathead weighed in than bream.\n\nHow many bream were weighed in?"},{"varval":"<div class=\"sm_mode\">\n\nStrategy 1\n\nsm_nogap Check each option:\n\n<div class=\"aligned\">\n\n>| |\n| -------------------- |\n| 12 + 12 + 17 = 41 x |\n| 13 + 13 + 17 = 43 x |\n| 14 + 14 + 17 = 45 $\\checkmark$| \n\n\n</div>\n\n<br>\n\n\nStrategy 2\n\nsm_nogap Let $\\ \\large n$ = number of bream weighed in\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\large n + n$ + 17 | \\= 45 |\n| 2$\\large n$ | \\= 28 |\n| $\\large n$ | \\= 14 |\n\n</div>\n\n<br>\n\n$\\therefore$ {{correctAnswer}} bream are weighed in.\n\n</div>"}]},{"vars":[{"varval":"In a fruit bowl containing apples and bananas, there are 37 pieces of fruit.\n\nThere are 5 more apples than bananas.\n\nHow many bananas are there?"},{"varval":"<div class=\"sm_mode\">\n\nStrategy 1\n\nsm_nogap Check each option:\n\n<div class=\"aligned\">\n\n>| |\n| -------------------- |\n| 42 + 42 + 5 = 89 x |\n| 32 + 32 + 5 = 69 x |\n| 16 + 16 + 5 = 37 $\\checkmark$| \n\n\n</div>\n\n<br>\n\n\nStrategy 2\n\nsm_nogap Let $\\ \\large n$ = number of bananas\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\large n + n$ + 5 | \\= 37 |\n| 2$\\large n$ | \\= 32 |\n| $\\large n$ | \\= 16 |\n\n</div>\n\n<br>\n\n$\\therefore$ {{correctAnswer}} bananas are in the fruit bowl.\n\n</div>"}]},{"vars":[{"varval":"A manufacturing plant has made 238 cars. All the cars are either hatch-backs or SUVs.\n\nThere are 74 more hatch-backs than SUVs.\n\nHow many hatch-backs are there?"},{"varval":"<div class=\"sm_mode\">\n\nStrategy 1\n\nsm_nogap Check each option:\n\n<div class=\"aligned\">\n\n>| |\n| -------------------- |\n| 82 + (82 − 74) = 90 x |\n| 156 + (156 − 74) = 238 $\\checkmark$| \n\n\n</div>\n\n<br>\n\n\nStrategy 2\n\nsm_nogap Let $\\ \\large n$ = number of hatch-backs \n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\large n$ + ($\\large n$ − 74) | \\= 238 |\n| 2$\\large n$ | \\= 312 |\n| $\\large n$ | \\= 156 |\n\n</div>\n\n<br>\n\n$\\therefore$ {{correctAnswer}} hatch-backs in the carpark.\n\n</div>"}]}]

Algebra, NAPX-p170065v01 - f22ab58d-7741-4ae0-b172-70a147a9daeb - (July 06, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A salesman earns $84 for every 7 litres of paint he sells.\r\n\r\nWhich expression shows how much he would earn for selling $\\large x$ litres?"},{"varval":"84 $\\rarr$ 7 litres \r\n\n84 $\\div$ 7 $\\rarr$ 1 litre\n\n$\\therefore$ {{{correctAnswer}}} $\\rarr \\ \\large x$ litres\n"}]},{"vars":[{"varval":"A fitness instructor earns $90 for every 4 hours of instruction she provides.\r\n\r\nWhich expression shows how much she would earn for providing $\\large x$ hours of instruction?"},{"varval":"90 $\\rarr$ 4 hours \r\n\n90 $\\div$ 4 $\\rarr$ 1 hour\n\n$\\therefore$ {{{correctAnswer}}} $\\rarr \\ \\large x$ hours\n"}]},{"vars":[{"varval":"A quad bike hire company charges $280 for every 5 hours of hire.\r\n\r\nWhich expression shows how much would would be charged for a hire of $\\large x$ hours?"},{"varval":"280 $\\rarr$ 5 hours \r\n\n280 $\\div$ 5 $\\rarr$ 1 hour \n\n$\\therefore$ {{{correctAnswer}}} $\\rarr \\ \\large x$ hours\n"}]},{"vars":[{"varval":"A pet shop charges $120 for every 8 kilograms of dog biscuits it sells.\r\n\r\nWhich expression shows how much would be charged for a sale of $\\large x$ kilograms?"},{"varval":"120 $\\rarr$ 8 kilograms \r\n\n120 $\\div$ 8 $\\rarr$ 1 kilogram\n\n$\\therefore$ {{{correctAnswer}}} $\\rarr \\ \\large x$ kilograms\n"}]},{"vars":[{"varval":"A market stall holder charges $36 for every 4 jars of honey they sell.\r\n\r\nWhich expression shows how much would be charged for a sale of $\\large x$ jars?"},{"varval":"36 $\\rarr$ 4 jars\n\n36 $\\div$ 4 $\\rarr$ 1 jar\n\n$\\therefore$ {{{correctAnswer}}} $\\rarr \\ \\large x$ jars\n"}]},{"vars":[{"varval":"Jason paid $102.60 for 45 litres of petrol.\r\n\r\nWhich expression shows how much he would pay for $\\large x$ litres of petrol?"},{"varval":"102.60 $\\rarr$ 45 litres\n\n102.60 $\\div$ 45 $\\rarr$ 1 litre\n\n$\\therefore$ {{{correctAnswer}}} $\\rarr \\ \\large x$ litres\n"}]}]

Algebra, NAPX-G2-34 SA - 8fcf9076-6153-4b2d-8a5c-cd38a28b7037 - (July 06, 2021)

<div class="sm_mode"> In a card game, Herbert gets 4 cards and earns points. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-34.svg 350 indent vpad <br>Each white triangle is worth double the points of each black triangle. How many points is a white triangle worth? </div>

[{"vars":null}]

Number, NAPX-J3-CA30 SA - e69e9a82-eb86-48ed-a56e-79e6acab708f - (July 05, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jahangir buys a squash racquet, originally marked $40, that is discounted by 20%.\n\n\r\n\r\nHe also has a loyalty card that gives him another 25% off the sale price.\n\n\r\n\r\nWhat is the final cost of the squash racquet?"},{"varval":"Solution 1\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Sale price|= 40 $-$ (20% × 40)|\n||= $32|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Final cost|= 32 $-$ (25% × 32)|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>\n\n<br>\n\r\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Final cost|= 40 × 0.80 × 0.75|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Mervin buys a hockey stick, originally marked $48, that is discounted by 25% on sale.\n\n\r\n\r\nHe also has a loyalty card that gives him another 25% off the sale price.\n\n\r\n\r\nWhat is the final cost of the hockey stick?"},{"varval":"Solution 1\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Sale price|= 48 $-$ (25% × 48)|\n||= 48 $-$ 12|\n||= $36|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Final cost|= 36 $-$ (25% × 36)|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>\n\n<br>\n\r\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Final cost|= 48 × 0.75 × 0.75|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Mariah buys a Christmas tree, originally marked $120, that is discounted by 25% for a sale.\n\r\nShe also has a coupon that gives her another 20% off the sale price.\n\nWhat is the final amount that Mariah must pay for the Christmas tree?"},{"varval":"Solution 1\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Sale price|= 120 $-$ (25% × 120)|\n||= 120 $-$ 30|\n||= $90|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Final cost|= 90 $-$ (20% × 90)|\n||= 90 $-$ 18|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>\n\n<br>\n\r\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Final cost|= 120 × 0.75 × 0.80|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Barry buys a muffler, originally marked $80, that is discounted by 25% for a sale.\n\nHe also has a loyalty card that gives him another 10% off the sale price.\n\n\rWhat is the final price that Barry pays for the muffler?"},{"varval":"Solution 1\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Sale price|= 80 $-$ (25% × 80)|\n||= 80 $-$ 20|\n||= $60|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Final cost|= 60 $-$ (10% × 60)|\n||= 60 $-$ 6|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>\n\n<br>\n\r\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Final cost|= 80 × 0.75 × 0.9|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Tommy buys a bowling ball, originally marked $50, that is discounted by 10% for a sale.\n\nHe also has a loyalty card that gives him another 20% off the sale price.\n\nWhat is the final cost of the bowling ball?"},{"varval":"Solution 1\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Sale price|= 50 $-$ (10% × 50)|\n||= 50 $-$ 5|\n||= $45|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Final cost|= 45 $-$ (20% × 45)|\n||= 45 $-$ 9|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>\n\n<br>\n\r\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Final cost|= 50 × 0.9 × 0.8|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Jordan buys a sleeping bag, originally marked $70, that is discounted by 10% for a sale.\n\nHe also benefits from an end of financial year special that gives him another 30% off the sale price.\n\nWhat is the final cost of the sleeping bag?"},{"varval":"Solution 1\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Sale price|= 70 $-$ (10% × 70)|\n||= 70 $-$ 7|\n||= $63|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Final cost|= 63 $-$ (30% × 63)|\n||= 63 $-$ 18.90|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>\n\n<br>\n\r\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Final cost|= 70 × 0.9 × 0.7|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAPX-F4-CA18 - db77055a-701e-4faf-a1bb-d2ed6b9d5d12 - (July 05, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sachin's cricket bat is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-CA18.svg 220 indent3 vpad\n\n<br>The handle of the bat is 29 cm in length.\n\nWhich of the following show the length of the handle as a percentage of the total length of the bat?\n"},{"varval":"sm_nogap Length of the handle as a percentage\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{29}{89.1} \\times$ 100|\n|= 32.54...%|\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the closest.\n"}]},{"vars":[{"varval":"Ricky's cricket bat is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-CA18.svg 220 indent3 vpad\n\n<br>The handle of the bat is 31 cm in length.\n\nWhich of the following show the length of the handle as a percentage of the total length of the bat?\n"},{"varval":"sm_nogap Length of the handle as a percentage\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{31}{89.1} \\times$ 100|\n|= 34.79...%|\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the closest.\n"}]},{"vars":[{"varval":"Greg's cricket bat is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-CA18.svg 220 indent3 vpad\n\n<br>The handle of the bat is 30 cm in length.\n\nWhich of the following show the length of the handle as a percentage of the total length of the bat?\n"},{"varval":"sm_nogap Length of the handle as a percentage\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{30}{89.1} \\times$ 100|\n|= 33.67...%|\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the closest.\n"}]},{"vars":[{"varval":"Mithali's cricket bat is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-CA18.svg 220 indent3 vpad\n\n<br>The handle of the bat is 28.7 cm in length.\n\nWhich of the following show the length of the handle as a percentage of the total length of the bat?\n"},{"varval":"sm_nogap Length of the handle as a percentage\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{28.7}{89.1} \\times$ 100|\n|= 32.21...%|\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the closest.\n"}]},{"vars":[{"varval":"Charlotte's cricket bat is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-CA18.svg 220 indent3 vpad\n\n<br>The handle of the bat is 32 cm in length.\n\nWhich of the following show the length of the handle as a percentage of the total length of the bat?\n"},{"varval":"sm_nogap Length of the handle as a percentage\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{32}{89.1} \\times$ 100|\n|= 35.91...%|\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the closest.\n"}]},{"vars":[{"varval":"Alyssa's cricket bat is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-CA18.svg 220 indent3 vpad\n\n<br>The handle of the bat is 26 cm in length.\n\nWhich of the following show the length of the handle as a percentage of the total length of the bat?"},{"varval":"sm_nogap Length of the handle as a percentage\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{26}{89.1} \\times$ 100|\n|= 29.18..%|\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}} is the closest.\n"}]}]

Number, NAPX-J3-CA35 SA - bf0fef8e-f55d-482b-8284-fd0aa346d79a - (July 05, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A class of 48 students is surveyed. 36 students said they owned a mobile phone.\n\n\r\n\r\nWhat percentage of the students surveyed do not own a mobile phone?\n"},{"varval":"sm_nogap Number of students who don't own mobile\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 48 $-$ 36|\n|= 12|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Percentage|= $\\dfrac{12}{48}$ × 100|\n| |= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A group of 75 soccer players is surveyed. 60 players said they had scored at least 1 goal this season.\n\n\r\n\r\nWhat percentage of the soccer players surveyed did not score at least 1 goal this season?"},{"varval":"sm_nogap Number of soccer players who did not score at least 1 goal\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 75 $-$ 60|\n|= 15|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Percentage|= $\\dfrac{15}{75}$ × 100|\n| |= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"An animal shelter has 84 animals. 45 of the animals are dogs.\n\nWhat percentage of the animals at the shelter are not dogs?\n\nGive your answer correct to one decimal place."},{"varval":"sm_nogap Number of animals that are not dogs\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 84 $-$ 45|\n|= 39|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Percentage|= $\\dfrac{39}{84}$ × 100|\n| |$\\approx$ {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A group of 96 students is surveyed. 72 students said they travel to school by bus.\n\n\r\n\r\nWhat percentage of the students surveyed do not travel to school by bus?\n"},{"varval":"sm_nogap Number of students who don't own mobile\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 96 $-$ 72|\n|= 24|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Percentage|= $\\dfrac{24}{96}$ × 100|\n| |= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A gym surveyed 120 members. 45 of the members said they go to the gym 5 or more times a week.\n\n\r\n\r\nWhat percentage of the members surveyed do not go to the gym 5 or more times a week?"},{"varval":"sm_nogap Number of gym members who don't train 5 or more times a week\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 120 $-$ 45|\n|= 75|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Percentage|= $\\dfrac{75}{120}$ × 100|\n| |= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"An aquarium contains 240 fish. 108 of the fish are guppies.\n\n\r\n\r\nWhat percentage of the fish are not guppies?\n"},{"varval":"sm_nogap Number of fish that are not guppies\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 240 $-$ 108|\n|= 132|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Percentage|= $\\dfrac{132}{240}$ × 100|\n| |= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]}]

Number, NAPX-p169627v02 - 8fec3bc9-c695-4fb4-bac7-c0a46e80e43d - (July 05, 2021)

Number, NAPX-p169627v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A box of fruit contains 12 apples, 16 oranges, and 13 pears.\n\n\r\n\r\nAbout what percentage of the fruit in the box are apples?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Percentage of apples|= $\\dfrac{\\text{number of apples}}{\\text{total pieces of fruit}}$|\n|||\n||= $\\dfrac{12}{12 + 16 + 13}$|\n||= 0.292|\n|| $\\approx$ {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"In a classroom there are 24 boys and 36 girls.\n\n\r\n\r\nWhat percentage of the students in the classroom are girls?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Percentage of girls|= $\\dfrac{\\text{number of girls}}{\\text{total students}}$|\n|||\n||= $\\dfrac{36}{24 + 36}$|\n||= 0.6|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"At a dog show there are 15 labradors, 25 poodles and 20 malamutes.\n\r\n\r\nAbout what percentage of the dogs at the show are poodles?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Percentage of poodles|= $\\dfrac{\\text{number of poodles}}{\\text{total dogs}}$|\n|||\n||= $\\dfrac{25}{15 + 25 + 20}$|\n||= 0.416...|\n|| $\\approx$ {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A bag contains 22 red marbles, 40 green marbles and 16 yellow marbles.\n\r\n\r\nAbout what percentage of the marbles in the bag are yellow?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Percentage of yellow marbles|= $\\dfrac{\\text{number of yellow}}{\\text{total marbles}}$|\n|||\n||= $\\dfrac{16}{22 + 40 + 16}$|\n||= 0.205128...|\n|| $\\approx$ {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A fishing boat returns with 16 flathead, 7 bream and 9 flounder.\n\r\n\r\nAbout what percentage of the fish are bream?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Percentage of bream|= $\\dfrac{\\text{number of bream}}{\\text{total fish}}$|\n|||\n||= $\\dfrac{7}{16 + 7 + 9}$|\n||= 0.21875|\n|| $\\approx$ {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A cafe receives a milkshake order for 2 chocolate, 4 strawberry, 4 caramel and 3 vanilla milkshakes.\n\r\n\r\nAbout what percentage of the milkshakes are chocolate?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Percentage of chocolate|= $\\dfrac{\\text{number of chocolate}}{\\text{total milkshakes}}$|\n|||\n||= $\\dfrac{2}{2 + 4 + 4 + 3}$|\n||= 0.15384...|\n|| $\\approx$ {{{correctAnswer}}}|\n\n</div>"}]}]

Number, NAPX-p110751v02 SA - 2b2373c9-a9a8-4c0c-adf1-ce2a147d3a6f - (July 05, 2021)

Number, NAPX-p110751v01 SA Number, NAPX-I3-NC29 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In a bulk food supermarket, a kilogram of pepper costs $14.\n\n\r\n\r\nNancy bought 2.65 kilograms of pepper for her restaurant.\n\n\r\n\r\nHow much did Nancy pay for the pepper?\n"},{"varval":"Cost of 1 kg = $14 \n\n\r\nCost of 2 kg = 2 × 14 = $28\n\n\r\nCost of 0.1 kg = 0.1 × $14 = $1.40\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Cost of 0.65 kg|= 6 × 1.4 + 0.70|\n||= $9.10|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Cost of 2.65 kg|= 28 + 9.1|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A kilogram of apples cost $8.\n\n\r\n\r\nDanica bought 6.35 kilograms of apples.\n\n\r\n\r\nHow much did Danica pay for the apples?\n"},{"varval":"Cost of 1 kg = $8 \n\n\r\nCost of 6 kg = 6 × 8 = $48\n\n\r\nCost of 0.1 kg = 0.1 × 8 = $0.80\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Cost of 0.35 kg|= 3 × 0.8 + 0.4|\n||= $2.80|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Cost of 6.35 kg|= 48 + 2.80|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Bananas cost $5 per kilogram.\n\n\r\n\r\nMagilla buys 5.45 kilograms of bananas.\n\n\r\n\r\nHow much does Magilla pay for the bananas? "},{"varval":"\r\nCost of 5 kg = 5 × $5 = $25\n\n\r\nCost of 0.1 kg = 0.1 × $5 =50 cents\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\rArr$ Cost of 0.45 kg|= 4.5 × 50 cents|\n||= $2.25|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Cost of 5.45 kg|= 25 + 2.25|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAPX-I4-NC23, NAPX-I3-NC25 - a9a103b8-cff6-4292-93ec-793a64b1c148 - (July 05, 2021)

<div class="sm_mode"> Sadie has 9 cups of raisins. A cupcake recipe uses $\dfrac{3}{4}$ of a cup of raisins in each cupcake. What is the greatest number of cupcakes Sadie can make? </div>

[{"vars":null}]

Number, NAPX-E4-NC16 - 45b1653d-9f8b-4bba-b495-4ab1ea028c74 - (July 05, 2021)

<div class="sm_mode"> Which one of these is equal to $2\dfrac{3}{7}$ ? </div>

[{"vars":null}]

Number, NAPX-K2-30 SA - a5c93a7d-8d1b-42fb-9d0c-a213bb707c1b - (July 05, 2021)

The weights on the borders are inconsistent for Var1 to Var5 ie some look bold and others are not. I'm not sure how to fix this. This might be browser specific. All same width my side but will check with a live exam.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Candice buys art supplies for her art studio.\n\r\nShe rounds each price to the nearest dollar to estimate the total cost of the supplies.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-30.svg 220 indent3 vpad\n\n<br>How much is Candice's estimate?"},{"varval":"Rounding each item to the nearest dollar:\n\npaint = $7\n\npencil = $2\n\ncanvas = $13\n\nchalk = $7\n\nglue = $4\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Candice's Estimate| = 7 + 2 + 13 + 7 + 4|\n|| = {{{prefix0}}}{{{correctAnswer0}}}|\n\r\n</div>"}]},{"vars":[{"varval":"John is buying electrical supplies for a job.\n\nHe rounds each price in the table below to the nearest dollar to estimate the total cost of his purchase.\n\n<br>\n\n<div class=\"sm-table row1-color1 heading-color1\">\n\n>>Electrical Supplies\n\n>>| Item | Cost |\n|:-:|-:|\n| 5-watt lightbulb | $7.55 |\n| 7-watt lighbulb | $8.40 |\n| pliars | $15.75 |\n| electrical tape | $2.95 |\n| capacitor| $4.80|\n\n</div>\n\n<br>How much is Johns's estimate?"},{"varval":"Rounding each item to the nearest dollar:\n\n5-watt lightbulb = $8\n\n7-watt lightbulb = $8\n\npliars = $16\n\nelectrical tape = $3\n\ncapacitor = $5\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|John's Estimate| = 8 + 8 + 16 + 3 + 5|\n|| = {{{prefix0}}}{{{correctAnswer0}}}|\n\r\n</div>"}]},{"vars":[{"varval":"Kate is buying materials for making a dress.\n\nShe rounds each price in the table below to the nearest dollar to estimate the total cost of the materials.\n\n<br>\n\n<div class=\"sm-table row1-color1 heading-color2\">\n\n>>Materials\n\n>>| Item | Cost |\n|:-:|-:|\n| buttons | $3.35 |\n| zipper | $6.65 |\n| material | $23.45 |\n| sewing thread| $2.60 |\n| scissors| $4.95|\n\n</div>\n\n<br>How much is Kate's estimate?"},{"varval":"Rounding each item to the nearest dollar:\n\nbuttons = $3\n\nzipper = $7\n\nmaterial = $23\n\nsewing thread = $3\n\nscissors = $5\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Kate's Estimate| = 3 + 7 + 23 + 3 + 5|\n|| = {{{prefix0}}}{{{correctAnswer0}}}|\n\r\n</div>"}]},{"vars":[{"varval":"Byron is buying materials for repairing his hot air balloon.\n\nHe rounds each price in the table below to the nearest dollar to estimate the total cost of the materials.\n\n<br>\n\n<div class=\"sm-table row1-color7 heading-color8\">\n\n>>Materials\n\n>>| Item | Cost |\n|:-:|-:|\n| pliars | $7.55 |\n| zipper | $4.80 |\n| screws | $11.35 |\n| thread| $4.90 |\n| box cutter| $2.15|\n\n</div>\n\n<br>How much is Byron's estimate?"},{"varval":"Rounding each item to the nearest dollar:\n\npliars = $8\n\nzipper = $5\n\nscrews = $11\n\nthread = $5\n\nbox cutter = $2\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Byron's Estimate| = 8 + 5 + 11 + 5 + 2|\n|| = {{{prefix0}}}{{{correctAnswer0}}}|\n\r\n</div>"}]},{"vars":[{"varval":"Phil is buying materials for repairing a BMX bike.\n\nHe rounds each price in the table below to the nearest dollar to estimate the total cost of the materials.\n\n<br>\n\n<div class=\"sm-table row1-color1 heading-color2\">\n\n>>Materials\n\n>>| Item | Cost |\n|:-:|-:|\n| oil | $4.65 |\n| chain | $22.95 |\n| pliars | $3.45 |\n| tyre| $8.60 |\n| rag | $1.85|\n\n</div>\n\n<br>How much is Phil's estimate?"},{"varval":"Rounding each item to the nearest dollar:\n\noil = $5\n\nchain = $23\n\npliars = $3\n\ntyre = $9\n\nrag = $2\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Phil's Estimate| = 5 + 23 + 3 + 9 + 2|\n|| = {{{prefix0}}}{{{correctAnswer0}}}|\n\r\n</div>"}]},{"vars":[{"varval":"Shannon is buying materials for making a bookcase.\n\nShe rounds each price in the table below to the nearest dollar to estimate the total cost of the materials.\n\n<br>\n\n<div class=\"sm-table row1-color3 heading-color6\">\n\n>>**Materials**\n\n>>| Item | Cost |\n|:-:|-:|\n| hammer | $5.65 |\n| glue | $3.95 |\n| wood | $11.55 |\n| nails| $1.60 |\n| stain| $3.85|\n\n</div>\n\n<br>How much is Shannon's estimate?"},{"varval":"Rounding each item to the nearest dollar:\n\nhammer = $6\n\nglue = $4\n\nwood = $12\n\nnails = $2\n\nstain = $4\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Shannon's Estimate| = 6 + 4 + 12 + 2 + 4|\n|| = {{{prefix0}}}{{{correctAnswer0}}}|\n\r\n</div>"}]}]

Number, NAPX-E3-CA06 - 1fca8d37-d50f-4d54-8e71-297f556f5ff0 - (July 05, 2021)

<div class="sm_mode"> Nick had tests to check his health that are summarised in the table below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-E3-CA06.svg 460 indent vpad For which tests were Nick's results within the normal range? </div>

[{"vars":null}]

Number, NAPX-p167439v01 - ab22e4b0-189a-4e1a-bbb7-f662be1c23c7 - (July 05, 2021)

<div class="sm_mode"> A box of apples weighs $\dfrac{2}{3}$ of a kilogram. Lou bought 3 boxes. How many kilograms of apples did Lou buy? </div>

[{"vars":null}]

Number, NAPX-p168203v01 - 4848e9b2-d952-4aca-a8b8-fa3102590696 - (July 05, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The result of a 100-metre dash was recorded in the table shown below.\n\n\n<div class=\"sm-table col1-color8\">\n\n>>| 1st Place| 13.55 seconds|\n|:-:|:-:|\n| 2nd Place| 14.29 seconds|\n| 3rd Place| ?| \n| 4th Place| 14.84 seconds| \n\n</div>\n\n<br>What could be the time of the runner in 3rd place?"},{"varval":"The time of the 3rd runner must be between 14.29 and 14.84 seconds.\n\n\r\n$\\therefore$ The time of the 3rd runner = {{{correctAnswer}}}."}]},{"vars":[{"varval":"The result of a 400-metre time trial was recorded in the table shown below.\n\n\n<div class=\"sm-table col1-color2\">\n\n>>| 1st Place| 47.89 seconds|\n|:-:|:-:|\n| 2nd Place| 48.27 seconds|\n| 3rd Place| ?| \n| 4th Place| 48.76 seconds| \n\n</div>\n\n<br>What could be the time of the runner in 3rd place?"},{"varval":"The time of the 3rd runner must be between 48.27 and 48.76 seconds.\n\n\r\n$\\therefore$ The time of the 3rd runner = {{{correctAnswer}}} seconds."}]},{"vars":[{"varval":"The result of a 50-metre freestyle swimming final was recorded in the table shown below.\n\n\n<div class=\"sm-table col1-color3\">\n\n>>| 1st Place| 32.69 seconds|\n|:-:|:-:|\n| 2nd Place| ?|\n| 3rd Place| 33.54 seconds| \n| 4th Place| 33.91 seconds| \n\n</div>\n\n<br>What could be the time of the swimmer in 2nd place?"},{"varval":"The time of the 2nd swimmer must be between 32.69 and 33.54 seconds.\n\n\r\n$\\therefore$ The time of the 2nd swimmer = {{{correctAnswer}}} seconds."}]},{"vars":[{"varval":"The result of a drag racing sprint was recorded in the table shown below.\n\n\n<div class=\"sm-table col1-color3\">\n\n>>| 1st Place| 12.74 seconds|\n|:-:|:-:|\n| 2nd Place| 13.38 seconds|\n| 3rd Place| ?| \n| 4th Place| 13.82 seconds| \n\n</div>\n\n<br>What could be the time of the drag car in 3rd place?"},{"varval":"The time of the drag car in 3rd place must be between 13.38 and 13.82 seconds.\n\n\r\n$\\therefore$ The time of the 3rd place drag car = {{{correctAnswer}}} seconds."}]}]

Number, NAPX-p168197v01 - 65029ae2-394d-4338-af6b-aafffee54228 - (July 05, 2021)

<div class="sm_mode"> Which of these circles has the largest fraction of its area shaded? </div>

[{"vars":null}]

Number, NAPX-p167381v01 - 930cb990-799c-448f-801e-36db05e9c40f - (July 05, 2021)

<div class="sm_mode"> The image below is the plan of a farming plot. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/q5.png 200 indent vpad Squares containing plants represent land that is growing crops. Which fraction shows the amount of land that is used for growing crops? </div>

[{"vars":null}]

Number, NAPX-I3-NC27 SA, NAPX-I2-39 - 56607f62-fd62-4fe0-827c-b904bd0bd7d1 - (July 05, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A tube of tennis balls normally cost $11.50.\n\nDuring a sale, the sports store took 10% off the regular price of the balls.\n\nWhat is the new sale price of the tube of tennis balls?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|10% discount|= $\\dfrac{11.50}{10}$|\n||= $1.15|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Sale price|= 11.50 $-$ 1.15|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Cleo wants to buy a doll that normally costs $19.50.\n\nDuring a sale, the toy store took 10% off the regular price of the doll.\n\nWhat is the new sale price of the doll?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|10% discount|= $\\dfrac{19.50}{10}$|\n||= $1.95|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Sale price|= 19.50 $-$ 1.95|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Humphrey wants to buy a jar of honey that normally costs $8.50.\n\nA supermarket reduces the price of the jar of honey by 10% during a sale.\n\nWhat is the new sale price of the jar of honey?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|10% discount|= $\\dfrac{8.50}{10}$|\n||= $0.85|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Sale price|= 8.50 $-$ 0.85|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Kaylan wants to buy a football that normally costs $23.50.\n\nA sports store reduces the price of the football by 10% during a sale.\n\nWhat is the new sale price of the football?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|10% discount|= $\\dfrac{23.50}{10}$|\n||= $2.35|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Sale price|= 23.50 $-$ 2.35|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAPX-p111991v02 SA - 7e14427e-8ae8-4edd-875c-fbc059e2cee4 - (July 05, 2021)

Number, NAPX-p111991v01 SA Number, NAPX-H3-NC25 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Justin went to a lolly shop to buy some sweets and spent $12.\n\n\r\n\r\nHe bought a chocolate bar that cost $5 and 7 pieces of liquorice that cost 40 cents each.\n\n\r\n\r\nThe rest of his money was spent on musk sticks that costs $0.30 each.\n\n\r\n\r\nHow many musk sticks did he buy?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Money left|= $12 - 5 - (7 × 0.40)$|\n||= $7 - 2.80$|\n||= $4.20|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Musk sticks|= 4.2 ÷ 0.3|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Joanna went to the supermarket and spent $52.\n\n\r\n\r\nShe bought $15 worth of meat, 10 energy drinks costing $1.90 each and some bottles of water that cost $1.20 each.\n\n\rHow many bottles of water did she buy?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Money left for water|= $52 - 15 - (10 × 1.9)$|\n||= $18|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Bottles of water|= 18 ÷ 1.2|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Nico spent $54 at the post office.\n\nHe bought a large box of envelopes for $17.\n\nWith the remaining money he bought 10 stamps at $1.30 each and some more stamps at 80 cents each.\n\nHow many 80-cent stamps did Nico buy?"},{"varval":"Calculate money left for stamps:\n\n\r\n$54 − $17 = $37\n\n$37 − (10 × 1.30) = $24\n\nsm_nogap $\\therefore$ Number of stamps\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 24 ÷ 0.8|\n|= 30|\n\n</div>"}]}]

Algebra, NAPX-H2-35 SA - 042566da-fc1c-4fd5-a17c-cd60c49e5db6 - (July 05, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"William spent $15.30 on pencils for the new school year.\n\n\r\n\r\nEach pencil cost 30 cents.\n\n\r\n\r\nHow many pencils did he buy?"},{"varval":"<div class=\"aligned\">\n\n>>||\n|-|\n|⇒ 10 pencils cost $3.00|\n|⇒ 50 pencils cost $15.00|\n\r\n<br>$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $15.30\r\n\r\n\r<br>\n\nStrategy 2\n\n\r\n$15.30 = 1530 cents\n\n\r\nUsing long division:\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2024/04/Algebra_NAPX-H2-35-SA.svg 60 indent3 vpad\n\n<br>\n\n\n\n ⇒ 1530 ÷ 30 = {{{correctAnswer0}}}\n\n<br>$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $15.30\n\n\n</div>"}]},{"vars":[{"varval":"Bella spent $19.50 on hair ties for her dance class.\n\nEach hair tie cost 50 cents.\n\nHow many hair ties did she buy?"},{"varval":"Strategy 1\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| $\\Rightarrow$ 10 hair ties cost $5.00 |\r\n| $\\Rightarrow$ 30 hair ties cost $15.00 |\r\n| $\\Rightarrow$ 39 hair ties cost $19.50 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $19.50\r\n\r\nStrategy 2\r\n\r\n$19.50 = 1950 cents\r\n\r\nUsing long division:\r\n\r\nsm_img https://smartered-media.s3.ap-southeast-2.amazonaws.com/wp-content/uploads/2026/04/07031201/Algebra_NAPX-H2-35-SA_2-o.svg 60 indent3 vpad\r\n\r\n$\\Rightarrow$ 1950 $\\div$ 50 = {{{correctAnswer0}}}\r\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $19.50"}]},{"vars":[{"varval":"Amir spent $16.80 on stickers for his collection.\r\n\r\nEach sticker cost 40 cents.\r\n\r\nHow many stickers did he buy?"},{"varval":"Strategy 1\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| $\\Rightarrow$ 10 stickers cost $4.00 |\r\n| $\\Rightarrow$ 40 stickers cost $16.00 |\r\n| $\\Rightarrow$ 42 stickers cost $16.80 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $16.80\r\n\r\nStrategy 2\r\n\r\n$16.80 = 1680 cents\r\n\r\nUsing long division:\r\n\r\nsm_img https://smartered-media.s3.ap-southeast-2.amazonaws.com/wp-content/uploads/2026/04/07025825/Algebra_NAPX-H2-35-SA_1-o.svg 60 indent3 vpad\r\n\r\n$\\Rightarrow$ 1680 $\\div$ 40 = {{{correctAnswer0}}}\r\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $16.80"}]},{"vars":[{"varval":"Carlos spent $21.84 on badges for his scout group.\r\n\r\nEach badge cost 42 cents.\r\n\r\nHow many badges did he buy?"},{"varval":"Strategy 1\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| $\\Rightarrow$ 10 badges cost $4.20 |\r\n| $\\Rightarrow$ 50 badges cost $21.00 |\r\n| $\\Rightarrow$ 52 badges cost $21.84 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $21.84\r\n\r\nStrategy 2\r\n\r\n$21.84 = 2184 cents\r\n\r\nUsing long division:\r\n\r\nsm_img https://smartered-media.s3.ap-southeast-2.amazonaws.com/wp-content/uploads/2026/04/07032451/Algebra_NAPX-H2-35-SA_3-o.svg 60 indent3 vpad\r\n\r\n$\\Rightarrow$ 2184 $\\div$ 42 = {{{correctAnswer0}}}\r\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $21.84"}]},{"vars":[{"varval":"Dani spent $24.48 on ribbon for her craft projects.\r\n\r\nEach piece of ribbon cost 48 cents.\r\n\r\nHow many pieces of ribbon did she buy?"},{"varval":"Strategy 1\r\n\r\n<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| $\\Rightarrow$ 10 pieces cost $4.80 |\r\n| $\\Rightarrow$ 50 pieces cost $24.00 |\r\n| $\\Rightarrow$ 51 pieces cost $24.48 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $24.48\r\n\r\nStrategy 2\r\n\r\n$24.48 = 2448 cents\r\n\r\nUsing long division:\r\n\r\nsm_img https://smartered-media.s3.ap-southeast-2.amazonaws.com/wp-content/uploads/2026/04/07032922/Algebra_NAPX-H2-35-SA_4-o.svg 60 indent3 vpad\r\n\r\n$\\Rightarrow$ 2448 $\\div$ 48 = {{{correctAnswer0}}}\r\n\r\n$\\therefore$ {{{correctAnswer0}}} {{{suffix0}}} cost $24.48"}]}]

Number, NAPX-p109843v02 - b822da9d-e6fd-44dd-aa53-1fc260fe5af4 - (July 04, 2021)

Number, NAPX-p109843v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Murray sells sausage rolls for $1.50 each.\n\nMurray sells a total of 60 sausage rolls.\n\nHow much money does Murray collect for selling the sausage rolls?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Money collected|= 60 × $1.50|\n||= (60 × $1) + (60 × $0.50)|\n||= $60 + $30|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Barry is selling pies.\n\n\r\n\r\nEach pie costs $2.50.\n\n\r\n\r\nBarry sells a total of 50 pies.\n\nHow much money does Barry collect for selling the pies?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Money collected|= 50 × $2.50|\n||= (50 × $2) + (50 × $0.50)|\n||= $100 + $25|\n||= {{{prefix0}}}{{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAPX-I3-NC17 SA - e210dc4d-fd2e-4ce5-9e5b-7a379138e00b - (July 04, 2021)

<div class="sm_mode"> Homer sells yoyos for $6.25 each. If he sells 100 yoyos, how much does he make? </div>

[{"vars":[]}]

Algebra, NAPX-H2-39 SA - 0ef879e1-2c19-4d6c-961a-ad5add234f51 - (July 04, 2021)

<div class="sm_mode"> Soda cans are sold in three different ways at the supermarket. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-H2-39-SA-300x143.png 280 indent2 vpad <br>What is the cheapest price that someone can buy 14 cans for? </div>

[{"vars":null}]

Number, NAPX-G3-CA14 - 75972177-0625-4f4e-a1b7-1f62d62bc87f - (July 04, 2021)

<div class="sm_mode"> Butch has only 5-cent, 10-cent, 20-cent and 50-cent coins in his pocket. He buys a doughnut that costs him $2.65 and pays the exact price. What is the smallest number of coins he could use to pay for his doughnut? </div>

[{"vars":null}]

Number, NAPX-p111587v02 - 83f2a709-311d-464d-9d5d-8f6bd6cea4c5 - (July 04, 2021)

Number, NAPX-p111587v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Lorenzo had a $10 note.\n\nHe decided to buy 13 tokens that are worth 60 cents each to play in the arcade.\n\nHow much change will he get?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Change|= 10 $-$ (13 × 0.60)|\n||= 10 $-$ 7.80|\n||= $2.20|\n\n</div>"}]},{"vars":[{"varval":"Jillian has $25 for buying some groceries.\n\n\r\n\r\nAt the supermarket, she bought 10 oranges that cost $0.25 each and 8 sweet potatoes that cost $1.50 each.\n\n\r\n\r\nHow much money did Jillian have left?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total cost|= (10 × 0.25) + (8 × 1.50)|\n||= 2.50 + 12.00|\n||= $14.50|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Change|= 25.00 $-$ 14.50|\n||= $10.50|\n\n</div>"}]}]

Number, NAPX-p169733v02 - 43a992b6-b681-4328-a21e-832660e8e34c - (July 04, 2021)

Number, NAPX-p169733v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Hilary wants to buy second hand furniture for her new flat.\n\n\r\n\r\nShe went to a charity store that sold furniture with the pricing listed in the table below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/p169733v02-300x147.png 270 indent3 vpad\n\n<br>She decided to buy one of each furniture item listed.\n\n\r\n\r\nWhich of these gives the correct range of the total cost of the furniture that she bought?"},{"varval":"sm_nogap Estimate the price of each furniture:\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|$69.20 ≈ $70|\n|$298.75 ≈ $300|\n|$79.50 ≈ $80|\n|$112.30 ≈ $110|\n\r\n\n</div>\n\n<br>\n\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Total cost of furniture|= 70 + 300 + 80 + 110|\n| |= $560|\n\r\n\n</div>\n\n<br>\n\n$\\therefore$ The range of the total cost is around $550 – $575."}]},{"vars":[{"varval":"Nicolas wants to build his own desktop gaming setup.\n\nThe shop’s prices for different gaming components are as follows:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/p169733v01-300x137.png 320 indent3 vpad\n\n<br>Nicolas bought all 4 components from the shop.\n\n\r\n\r\nWhich of these gives the correct range of the total cost of his purchase?"},{"varval":"sm_nogap Estimate the price of each furniture:\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|$54.30 ≈ $55|\n|$23.50 ≈ $25|\n|$248.60 ≈ $250|\n|$158.25 ≈ $160|\n\r\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Total cost of furniture|= 55 + 25 + 250 + 160|\n| |= $490|\n\r\n\n</div>\n\n<br>\n\n$\\therefore$ The range of the total cost is around $475 – $500."}]}]

Number, NAPX-p115333v02 - c1c44fd1-8c05-4038-b712-bb8c6e6000aa - (July 04, 2021)

Number, NAPX-p115333v01

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the value of $16^2$?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$16^2$|= 16 × 16|\n||= 256|\n\n</div>"}]},{"vars":[{"varval":"What is the value of $24^2$?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$24^2$|= 24 × 24|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the value of $15^2$?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$15^2$|= 15 × 15|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the value of $17^2$?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$17^2$|= 17 × 17|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the value of $31^2$?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$31^2$|= 31 × 31|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the value of $62^2$?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$62^2$|= 62 × 62|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Number, NAPX-G4-CA07 - be7949e1-31fc-4aab-b39b-5bcb803c6019 - (July 04, 2021)

Changed the values in the answers so they were more clearly in or out of the boundary arrows. Otherwise can't find any errors.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Two arrows point to numbers on a number line.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-G4-CA07.svg 300 indent vpad\n\nWhich one of these numbers lies between the two arrows?"},{"varval":"First arrow ≈ 125\n\n\r\nsecond arrow ≈ 220\n\n\r\n$\\therefore$ {{{correctAnswer}}} lies between the arrows."}]}]

Number, NAPX-I3-CA01 - 0d7434f6-29c8-4bad-a411-2ebced3d5845 - (July 04, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Charlize just turned 7 years old.\n\nRambo is 6 years younger than three times Charlize's age.\n\nHow old is Rambo?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Rambo's age|= (3 $\\times$ 7) $-$ 6|\n||= 21 $-$ 6|\n||= {{{correctAnswer}}} years|\n\n</div>\n"}]},{"vars":[{"varval":"Bruno just turned 20 years old.\n\nBluey is 5 years older than two times Bruno's age.\n\nHow old is Bluey?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Bluey's age|= (2 $\\times$ 20) $+$ 5|\n||= 40 $+$ 5|\n||= {{{correctAnswer}}} years|\n\n</div>\n"}]},{"vars":[{"varval":"Maverick just turned 37 years old.\n\nHis grandmother is 15 years younger than three times Maverick's age.\n\nHow old is Maverick's grandmother?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Grandmother's age|= (3 $\\times$ 37) $-$ 15|\n||= 111 $-$ 15|\n||= {{{correctAnswer}}} years|\n\n</div>\n"}]},{"vars":[{"varval":"Elise just turned 7 years old.\n\nHer brother is 2 years older than two times Elise's age.\n\nHow old is Elise's brother?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Brother's age|= (2 $\\times$ 7) $+$ 2|\n||= 14 $+$ 2|\n||= {{{correctAnswer}}} years|\n\n</div>"}]},{"vars":[{"varval":"Jamal just turned 17 years old.\n\nLatika is 12 years younger than two times Jamal's age.\n\nHow old is Latika?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Latika's age|= (2 $\\times$ 17) $-$ 12|\n||= 34 $-$ 12|\n||= {{{correctAnswer}}} years|\n\n</div>"}]},{"vars":[{"varval":"Bailey scored 19 goals in Futsal last season.\n\nParis scored 25 less goals than three times Bailey's total.\n\nHow many goals did Paris score?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Paris's goals|= (3 $\\times$ 19) $-$ 25|\n||= 57 $-$ 25|\n||= {{{correctAnswer}}} goals|\n\n</div>"}]}]

Algebra, NAPX-p122731v03 - 68480343-2912-40ad-8800-755da427efc2 - (July 01, 2021)

Algebra, NAPX-p122731v02 Algebra, NAPX-K2-22 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Penny runs a chicken shop.\n\n\r\n\r\nAt the start of one day, she has 402 BBQ chickens for sale.\n\n\r\n\r\nAt the end of the same day, she has 32 BBQ chickens not sold.\n\n\r\n\r\nHow may BBQ chickens did Penny sell on that day?"},{"varval":"<div class=\"aligned\">\n\nsm_nogap Chickens sold\n\n>>||\n|-|\n|= 402 $−$ 32|\n|= 400 $−$ 30|\n|= {{{correctAnswer0}}}|\n\r\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"George runs a large restaurant.\n\n\r\n\r\nAt the start of one day, George has 506 eggs in his kitchen.\n\n\r\n\r\nAt the end of the day, George has 46 eggs left.\n\n\r\n\r\nHow may eggs, in total, were used on that day?\n"},{"varval":"<div class=\"aligned\">\n\nsm_nogap Eggs used in day\n\n>>||\n|-|\n|= 506 $−$ 46|\n|= 500 $−$ 40|\n|= {{{correctAnswer0}}}|\n\r\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"Andrew collected football cards. He had collected 64 cards.\n\n\r\n\r\nAt school, Andrew and his friends put all their football cards together.\n\n\r\n\r\nThere was a total of 404 cards.\n\n\r\n\r\nHow many football cards, in total, had Andrew's friends collected?\n"},{"varval":"<div class=\"aligned\">\n\nsm_nogap Cards collected by Andrew's friends\n\n>>||\n|-|\n|= 404 $−$ 64|\n|= 400 $−$ 60|\n|= {{{correctAnswer0}}}|\n\r\n\r\n\r\n\n</div>"}]}]

Number, NAPX-p116689v01 - d9fc6216-e56f-4691-9a47-f25aa1b010c4 - (July 01, 2021)

Number, NAPX-p116689v05

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In one month, a factory makes two thousand, nine hundred and eight tennis balls.\n\n\r\nWrite this as a numbers in the box below:"}]},{"vars":[{"varval":"The exact length of great white shark is measured as five thousand and ninety six millimetres.\n\nWrite this as a number in the box below."}]},{"vars":[{"varval":"The tallest living giraffe is measured at five thousand, seven hundred and eight millimetres tall.\n\n\r\n\r\nWrite this as a number in the box below."},{"varval":"5708 millimetres"}]},{"vars":[{"varval":"Candice goes for a run. The exact distance she runs is ten thousand, one hundred and eight metres.\n\n\r\n\r\nWrite this as a numbers in the box below."}]}]

Algebra, NAPX-K2-18 - 01e4034b-aba9-40f8-a855-91d0fe218019 - (July 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Laura plays golf.\n\r\nDuring one round, she found 13 golf balls and lost 6.\n\r\nAt the end of the round, Laura had a total of 14 golf balls.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-18v1.svg 360 indent vpad\n\n<br>How many golf balls did Laura start with?"},{"varval":"Working backwards:\n\n\r\n⇒ Balls if none lost\n\n\r\n>>14 + 6 = 20\n\n<br>\n\n\r\n⇒ Balls if none found\n\n\r\n>>20 $−$ 13 = 7\r\n\n<br>\n\r\n\r\n$\\therefore$ Laura started with {{{correctAnswer}}}."}]},{"vars":[{"varval":"Sevie plays golf.\n\nDuring one round, he found 5 golf balls and lost 9.\n\nAt the end of the round, Sevie had a total of 8 golf balls.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-K2-18v2.svg 350 indent3 vpad\n\n<br>How many golf balls did Sevie start with?"},{"varval":"Working backwards: \n\n$\\Rightarrow$ If no balls were lost\n\n>>8 + 9 = 17\n\n<br>$\\Rightarrow$ If no balls were found\n\n>>17 − 5 = 12\n \n<br>\n\n\n$\\therefore$ Sevie started with {{{correctAnswer}}}."}]}]

Number, NAPX-J2-19 - 251e47a5-bbe0-4120-b77f-e340bd8aa078 - (July 01, 2021)

<div class="sm_mode"> A company has 3208 exercise books in a warehouse. Another 731 exercise books are delivered to the warehouse. Which of these could be used to calculate the correct number of exercise books in the warehouse? </div>

[{"vars":[]}]

Number, NAPX-p117033v01 - 9035e281-0171-466d-a520-157ba906b2af - (July 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What number makes this number sentence correct?"},{"varval":"Deduct 12 and 15 from both sides:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_box\"> ` ` ` ` </span>|= $48 - 12 - 15$|\n||= 48 $-$ 27|\n||= 21|\n\n</div>"}]},{"vars":[{"varval":"What number makes this number sentence correct?"},{"varval":"Deduct 16 and 9 from both sides:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_box\"> ` ` ` ` </span>|= $44 - 16 - 9$|\n||= 44 $-$ 25|\n||= 19|\n\n</div>"}]},{"vars":[{"varval":"What number makes this number sentence correct?"},{"varval":"Deduct 6 and 19 from both sides:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_box\"> ` ` </span>| = 52 $-$ 6 $-$ 19|\n||= 52 $-$ 25|\n||= 27|\n\n</div>"}]},{"vars":[{"varval":"Complete the number sentence."},{"varval":"\rDeduct 12 and 16 from both sides:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_box\"> ` ` </span>| = 61 $-$ 12 $-$ 16|\n||= 61 $-$ 28|\n||= {{{correctAnswer0}}}|\n\n</div>"}]}]

Number, NAPX-I4-NC01 - fdb81839-28e6-4ae8-b660-103d2b7a7545 - (July 01, 2021)

<div class="sm_mode"> A candy store sells lollipops in bags of six. For a party, 30 lollipops are needed. How many bags of lollipops are needed? </div>

[{"vars":null}]

Number, NAPX-p169217v02 SA - b5aa9d09-55b4-4445-949f-f1ccf9f068b7 - (July 01, 2021)

Number, NAPX-p169217v01 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Karl picked 102 apples from his family orchard and packed them into small boxes.\n\nEach box can hold 12 apples.\n\nWhat is the smallest number of boxes Karl needs to make sure all the apples are packed?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Boxese needed|= 102 $\\div$ 12|\n||= 8 remainder 6|\n||= 9 boxes (round up)|\n\n</div>"}]},{"vars":[{"varval":"George has 84 toy train sets in his collection.\n\n\r\n\r\nHe wanted to pack them into containers which can hold 5 train sets each.\n\n\r\n\r\nWhat is the smallest number of containers George needs to make sure all the toy train sets are packed away?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Containers needed|= 84 $\\div$ 5|\n||= 16 remainder 4|\n||$\\approx$ 17 containers (round up)|\n\n</div>"}]}]

Number, NAPX-p168014v01 SA - 788fa71b-88b1-4734-9c65-9e21366fbf62 - (July 01, 2021)

<div class="sm_mode"> Richard has a bookshelf that he splits into 8 different categories. He has a total of 152 books. He has the same number of books in each category. How many books in each category does he own? </div>

[{"vars":null}]

Number, NAPX-p146458v01 - 0c305616-3671-44ee-bb7f-2803c5c1e88e - (July 01, 2021)

Number, NAPX-p146458v08 Number, NAPX-p146458v07 SA

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the largest number that can be made using two of these cards?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/NAPX-K2-03-V1-SA-figure.svg 240 indent vpad\n\n<br>Write the number in the box below."},{"varval":"87"}]},{"vars":[{"varval":"What is the highest number that can be made using two of these cards?\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/number-napx5-TLA-7-v2_.svg 300 indent vpad\n\nWrite the number in the box below."},{"varval":"75"}]},{"vars":[{"varval":"What is the smallest number that can be made using two of these cards?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/number-napx5-TLA-7-v1.svg 280 indent vpad\n\nWrite the number in the box."},{"varval":"14"}]}]

Number, NAPX-J3-CA03 - 4a59d8c2-df4e-42f3-9249-3c8ee51b43c4 - (July 01, 2021)

SJ v1-4

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Four students fly a paper aeroplane and record the distance until it lands.\n\nWhich student flew the plane the longest distance?\n"},{"varval":"The correct order is:\n\n> Sam 0.09 m\n\n> Cam 0.88 m\n\n> Burt 1.08 m\n\n> {{{correctAnswer}}}\n\n<br>$\\therefore$ The student with the longest distance was {{{correctAnswer}}}.\n\n"}]},{"vars":[{"varval":"Four high jumpers competed in an athletics championship and their highest jumps were recorded.\n\nWhich competitor had the lowest jump?"},{"varval":"The correct order is:\n\n> {{{correctAnswer}}}\n\n> Brit 2.08 m\n\n> Julia 2.10 m\n\n> Meg 2.13 m\n\n<br>$\\therefore$ The competitor with the lowest jump was {{{correctAnswer}}}."}]},{"vars":[{"varval":"The last race at the school athletics carnival was the 100 metre final.\n\nThe four fastest times were recorded.\n\nWhich sprinter had the fastest time?"},{"varval":"The order is from fastest to slowest is:\n\n> {{{correctAnswer}}}\n\n> Andy 12.09 sec\n\n> Bob 12.10 seconds\n\n> Brock 13.00 seconds\n\n<br>$\\therefore$ The sprinter with the fastest time was {{{correctAnswer}}}."}]},{"vars":[{"varval":"Students were asked to measure their height and record it in metres to 2 decimals places.\n\nWhich student was the tallest?"},{"varval":"The order is from shortest to tallest is:\n\n> Lucy 1.59 m\n\n> Marianne 1.67 m\n\n> Freddy 1.70 m\n\n> {{{correctAnswer}}}\n\n<br>$\\therefore$ {{{correctAnswer}}} is the tallest."}]},{"vars":[{"varval":"Josh is building a fence using posts and secondhand wire.\n\nHe found 4 pieces of wire in his shed.\n\nWhich piece of wire is the **second** longest?"},{"varval":"The order is from longest to shortest is:\n\n> Piece 4: 21.9 m\n\n> {{{correctAnswer}}}\n\n> Piece 4: 21.09 m\n\n> Piece 1: 21.06 m\n\n<br>$\\therefore$ {{{correctAnswer}}} is the **second** longest piece of wire."}]}]

Number, NAPX-p167749v01 - 69eabb3d-059f-4ecc-ace8-05ddf7bc5c0c - (July 01, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A return trip from your house to the grocery store is 9.82 kilometres.\n\nIf you go to the store 23 times, how far do you need to travel?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Distance| = 23 × 9.82 km|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A return trip from your house to the beach is 24.3 kilometres.\n\nIf you go to the beach 15 times during the holidays, how far do you need to travel?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Distance| = 15 × 24.3 km|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A return trip from your house to the bait store is 4.58 kilometres.\n\nIf you go to the store 8 times, how far do you need to travel?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Distance| = 8 × 4.58 km|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A return trip from your house to school is 11.44 kilometres.\n\nIf you do the return trip to school 9 times in a fortnight, how far do you need to travel?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Distance| = 9 × 11.44 km|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A return trip from your house to the pool is 22.18 kilometres.\n\nIf you go to the pool 12 times in the holidays, how far do you need to travel?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Distance| = 12 × 22.18 km|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A return trip from your house to the skate park is 4.38 kilometres.\n\nIf you go to the skate park 16 times, how far do you need to travel?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Distance| = 16 × 4.38 km|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Number, NAPX-p167756v01 - 273ec9d5-8e76-40ee-b74b-5b7e4f28cf77 - (July 01, 2021)

<div class="sm_mode"> 12 + 3 × <span class="sm-text color8">?</span> = 39 For this number sentence to be true, what is the missing value? </div>

[{"vars":null}]

NET MIG stacking NAPX7 5 - 22300d9d-f557-4b85-904e-a3c01a77e762 - (June 30, 2021)

8072af47-f42a-46bb-9ed4-092609d23ed4 a1a7c342-4296-47d4-838f-acd7ce952de1

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"At the start of school, every child chooses one sport.\n\nThe table shows how many children chose each sport.\n\n<br>\n\n<div class=\"sm-table col1-color2 row1-color2 top-left-cell-hidden\">\n\n>>| | Athletics | Soccer |AFL|\n|:-:|:-:|:-:|:-:|\n| Girls | 40| 35|15|\n| Boys| 20| 45|25|\n\n</div>\n\n<br>Select the statement that is true.\n"},{"varval":"<div class=\"sm_mode\">\n\nThe true statement is:\n\nThe same number of boys and girls are at the school. \n\n</div>"}]},{"vars":[{"varval":"On a school camp, each child chose their meal for dinner.\n\nThe table shows how many children chose each meal.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Hamburger | Chicko Roll |Nuggets|\n|:-:|:-:|:-:|:-:|\n| Girls | 30| 5|25|\n| Boys| 20| 15|15|\n\n</div>\n\n<br>Select the statement that is true.\n"},{"varval":"The true statement is:\n\nLess than half the boys chose the chicko roll."}]}]

NET MIG stacking NAPX7 4 - bbaa1007-4694-4423-ba15-161ede9b115b - (June 30, 2021)

5493b8d6-a600-41b1-82e5-e4cb46c36105 f0e5aa24-23f4-43e1-aea0-1c4a9d82a35d

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A survey was conducted to determine the number of children who have a dog or a cat as a pet.\n\nThe results are shown below.\n\n<div class=\"sm-table col1-color4 row1-color4 top-left-cell-hidden\">\n\n>>| | Dog | No Dog |\n|:-:|:-:|:-:|\n| Cat | 60| 42|\n| No Cat | 34| 71|\n\n</div>\n\n<br>How many children have a cat as pet, but not a dog?"},{"varval":"\t\r\n42"}]},{"vars":[{"varval":"A survey was conducted to determine the number of children who have a pool or a trampoline at home.\n\nThe results are shown below.\n\n<br>\n\n<div class=\"sm-table col1-color5 row1-color5 top-left-cell-hidden\">\n\n>>| | Trampoline | No Trampoline |\n|:-:|:-:|:-:|\n| Pool | 44| 34|\n| No Pool | 21| 23|\n\n</div>\n\n<br>How many children have a pool at home, but not a trampoline?"},{"varval":"34"}]}]

NET MIG stacking NAPX7 3 - 53cd4c28-63b0-454d-bfbb-2ceae938329d - (June 30, 2021)

ba7b6c5d-0b46-4b1e-9454-d175d899f65e 86ddace3-2f13-49a5-b1c0-60c1697988a3

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This graph shows the number of cockatoos in a gum tree at 15 minute intervals over 4 hours.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC02.svg 546 indent vpad\n\n<br>\n\nAt which time were the highest number of cockatoos in the gum tree?\n"},{"varval":"The highest data point is two intervals past 6:00 pm.\n\n$\\therefore$ The highest number were in the tree at 6:30 pm."}]},{"vars":[{"varval":"This graph shows the number of customers in a supermarket at 10-minute intervals over 3 hours.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-NC03.svg 515 indent vpad\n\n<br>\n\nAt which of these times was the greatest number of customers in the store?"},{"varval":"$11:50$ (by inspection)"}]},{"vars":[{"varval":"The graph below shows the number of people in a supermarket at 15-minute intervals during a 4 hour period.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH9-8.svg 500 indent vpad\r\n\n<br>What time were the least amount of people in the supermarket?"},{"varval":"Each data point represents 15 minutes.\r\n\n$\\therefore$ The lowest data point in the graph is at {{{correctAnswer}}}"}]}]

NET MIG stacking NAPX7 2 - 8df2e1b2-dcee-4c7a-862b-66d6203c3031 - (June 30, 2021)

f55df63b-3299-444d-a973-f8648cd0816e f46bb9f3-170a-4f2f-b660-3b850e104526

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Mike and Georgia saved $90 together.\n\n\rGeorgia saved twice as much money as Mike.\n\r\nHow much money did Georgia save?\n"},{"varval":"Solution 1\n\nTest each option:\n\n>>Option 1 $=2 \\times 15 + 15 = 45$\n\n>>Option 2 $=2 \\times 25 + 25 = 75$\n\n>>Option 3 $=2 \\times 30 + 30 = 90$ $\\checkmark$\n\n>>Option 4 $=2 \\times 90 + 90 = 75$\n\n\n<br>$\\therefore$ Georgia saved {{{correctAnswer}}} \n\n<br>\n\nSolution 2 (advanced)\n\nLet $\\large x$ = Mike's savings\n\n<div class=\"aligned\">\n\n>| | |\n| --------------------: | -------------- |\n| $\\large x$ + $2\\large x$ | \\= 90 |\n| $3\\large x$ | \\= 90 |\n| $\\large x$ | \\= $30 |\n\n</div>\n\n<br>\n\n$\\therefore$ Georgia saved $60 \n"}]},{"vars":[{"varval":"Starsky spent twice as much money as Hutch.\n\nIf they spent a total of \\$120, how much did Hutch spend?\n"},{"varval":"Solution 1\n\nTest each option:\n\n>>Option 1 $=2 \\times 20 + 20 = 60$\n\n>>Option 2 $=2 \\times 40 + 40 = 120$ $\\checkmark$\n\n>>Option 3 $=2 \\times 80 + 80 = 240$ \n\n>>Option 4 $=2 \\times 240 + 240 = 720$\n\n\n<br>$\\therefore$ Hutch spent {{{correctAnswer}}} \n\n<br>\n\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\text{Let}\\ \\ \\large x$ | \\= Amount Hutch spent |\n| $2\\large x + x$ | \\= 120 |\n| $3 \\large x$ | \\= 120 |\n| $\\large x$ | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Bill spent twice as much money as Hans.\n\nIf they spent a total of \\$210, how much did Hans spend?"},{"varval":"Solution 1\n\nTest each option:\n\n>>Option 1 $=2 \\times 420 + 420 = 1260$\n\n>>Option 2 $=2 \\times 140 + 140 = 420$\n\n>>Option 3 $=2 \\times 70 + 70 = 210$ $\\checkmark$\n\n>>Option 4 $=2 \\times 35 + 35 = 105$\n\n\n<br>$\\therefore$ Hans spent {{{correctAnswer}}} \n\n<br>\n\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\text{Let}\\ \\ \\large x$ | \\= Amount Hans spent |\n| $2\\large x + x$ | \\= 210 |\n| $3 \\large x$ | \\= 210 |\n| $\\large x$ | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Wilma spent three times as much money as Betty.\n\nIf they spent a total of \\$200, how much did Betty spend?"},{"varval":"Solution 1\n\nTest each option:\n\n>>Option 1 $=3 \\times 10 + 10 = 40$\n\n>>Option 2 $=3 \\times 40 + 40 = 160$ \n\n>>Option 3 $=3 \\times 50 + 50 = 200$ $\\checkmark$\n\n>>Option 4 $=3 \\times 100 + 100 = 400$\n\n\n<br>$\\therefore$ Betty spent {{{correctAnswer}}} \n\n<br>\n\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\text{Let}\\ \\ \\large x$ | \\= Amount Betty spent |\n| $3\\large x + x$ | \\= 200 |\n| $4 \\large x$ | \\= 200 |\n| $\\large x$ | \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Kerry spent four times as much money as Nathan.\n\nIf they spent a total of \\$600, how much did Kerry spend?"},{"varval":"Solution 1\n\nTest each option:\n\n>>Option 1 $=4 \\times 120 + 120 = 480 + 120 =600$ $\\checkmark$ \n\n>>Option 2 $=4 \\times 40 + 40 = 160 + 40 = 200$ \n\n>>Option 3 $=4 \\times 30 + 30 = 120 + 30 = 150$ \n\n>>Option 4 $=4 \\times 20 + 20 = 80 + 20 = 100$\n\n\n<br>$\\therefore$ Kerry spent {{{correctAnswer}}} \n\n\n\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\text{Let}\\ \\ \\large x$ | \\= Amount Nathan spent |\n| $4\\large x + x$ | \\= 600 |\n| $5 \\large x$ | \\= 600 |\n| $\\large x$ | \\= $120|\n\n$\\therefore$ Kerry spent 4 $\\times$ $120 = {{{correctAnswer}}}\n\n</div>"}]},{"vars":[{"varval":"Bo spent three times as much money as Derek.\n\nIf they spent a total of \\$220, how much did Derek spend?"},{"varval":"Solution 1\n\nTest each option:\n\n>>Option 1 $=3 \\times 20 + 20 = 80$\n\n>>Option 2 $=3 \\times 35 + 35 = 140$\n\n>>Option 3 $=3 \\times 50 + 50 = 200$ \n\n>>Option 4 $=3 \\times 55 + 55 = 220$ $\\checkmark$\n\n\n<br>$\\therefore$ Derek spent {{{correctAnswer}}} \n\n<br>\n\nSolution 2 (advanced)\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $\\text{Let}\\ \\ \\large x$ | \\= Amount Derek spent |\n| $3\\large x + x$ | \\= 220 |\n| $4 \\large x$ | \\= 220 |\n| $\\large x$ | \\= {{{correctAnswer}}}|\n\n</div>\n"}]}]

NET MIG stacking NAPX7 1 - fc0b2a4a-22c6-4d96-b98f-8263747e1f99 - (June 30, 2021)

1281e633-5048-432d-87d4-589b56d5c006 bd0e8cb6-2a75-4887-8c13-cdd2f14544c1 Can't find anything wrong with these questions/solutions.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_mode\">\n\nJeeves buys 3 water bottles for \\$1.10 each.\n\nHe pays for these water bottles with a \\$5 note.\n\nHow much change should Jeeves receive?\n\n</div>\n"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = \\$5 $-$ (3 $\\times$ \\$1.10) |\n| | = \\$5 $-$ \\$3.30 |\n| | = $1.70 |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nSam buys 5 water bottles for \\$1.50 each.\n\nHe pays for these water bottles with a \\$10 note.\n\nHow much change should Sam receive?\n\n</div>\n"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Change | = \\$10 $-$ (5 $\\times$ \\$1.50) |\n| | = \\$10 $-$ \\$7.50 |\n| | = $2.50 |\n\n</div>\n\n</div>"}]}]

NET MIG stacking posts - 57f659cd-7580-44de-bb25-f3117ac28fd1 - (June 30, 2021)

7e57c1a7-13f1-4c0e-97a6-d66f4db8f9fd f030b5a7-9238-4c32-a417-994c0dded6c3

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Romy plans to hike from Cronulla Beach to Whale Beach in four days.\n\n\r\n\r\nThe walk is 68 kilometres.\n\n\r\n\r\nOn the first day, she walks 24 500 metres to Surry Hills.\n\n\r\n\r\nThe next day, she walks 17 800 metres to Brookvale.\r\n\r\nHow many kilometres does Romy have left to complete this hike?\n\n\r\n\r\nGive your answer in kilometres, to one decimal place."},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Distance left | \\= 68 000 − 24 500 − 17 800 |\n| | \\= 25 700 m |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nAlicia and Renee plan to complete the Very Long Walk from Belmont to Newcastle Beach in three days.\n\n\r\n\r\nThe walk is 35 kilometres in length.\n\n\r\n\r\nOn the first day, they walk 12 400 metres to Dudley.\n\n\r\n\r\nThe next day, they walk 14 900 metres to Burwood.\n\n\r\n\r\nHow many kilometres remain for them to complete this walk?\n\n\r\n\r\nGive your answer in kilometres, to one decimal place.\n\n</div>"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n|$\\therefore$ Distance left | \\= 35 000 − 12 400 − 14 900 |\n| | \\= 7700 m |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Julius plans to complete the Sydney Marathon in three hours.\n\n\r\n\r\nThe marathon is 42 kilometres in length.\n\n\r\n\r\nIn the first hour, he runs 15 100 metres.\n\n\r\n\r\nIn the second hour, he runs 14 700 metres.\n\n\r\n\r\nHow many kilometres remain for Julius to complete the Sydney Marathon in three hours?\n\n\r\n\r\nGive your answer in kilometres, to one decimal place."},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Distance left | \\= 42 000 − 15 100 − 14 700 |\n| | \\= 12 200 m |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Jack and Jill have booked a hiking holiday in Tasmania's Cradle Mountain District.\n\n\r\n\r\nThe hike takes three days and is 34 kilometres long.\n\n\r\n\r\nOn the first day, they hike 9400 metres along the Ronny Creek trail.\n\n\r\n\r\nThe next day, they hike 12 800 metres in Cradle Mountain National Park.\n\n\r\n\r\nHow many kilometres do they hike on the last day?\n\n\r\n\r\nGive your answer in kilometres, to one decimal place."},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Distance left | \\= 34 000 − 9 400 − 12 800 |\n| | \\= 11 800 m |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Cadel is riding his bike in a charity event over three days.\n\n\r\n\r\nThe ride is 154 kilometres long.\n\n\r\n\r\nDuring the first day, he rides 34 400 metres.\n\n\r\n\r\nOn the next day, he rides 54 800 metres.\n\n\r\n\r\nHow many kilometres does he ride on the last day?\n\n\r\n\r\nGive your answer in kilometres, to one decimal place."},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Distance left | \\= 154 000 − 34 400 − 54 800 |\n| | \\= 64 800 m |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Anna and her friends are walking the Thredbo to Kosciuszko trail in the December school holidays.\n\n\r\n\r\nThe hike is 13 kilometres long.\n\n\r\n\r\nDuring the first leg, they walk 4 200 metres.\n\n\r\n\r\nOn the next leg, they walk 3 700 metres.\n\n\r\n\r\nHow many kilometres do they walk on the final leg?\n\n\r\n\r\nGive your answer in kilometres, to one decimal place."},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Distance left | \\= 13 000 − 4 200 − 3 700 |\n| | \\= 5 100 m |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

NET MIG stacking 2 - 79227cc5-c570-4f31-b4a8-da773b223c0a - (June 30, 2021)

a1152ac2-bc91-471b-a7c8-9ccd3a6bd509 a7ce27a5-e0f0-408e-9978-dbb246a7e598 f98a09c3-5e3a-4047-bbd3-b96019dfc7c8

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Dusty wants to find the number of people who play soccer but do not play Aussie rules.\n\nWhich shaded region in the Venn diagrams represents the information Dusty is looking for?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-NC04c-rev.svg 231 indent vpad"}]},{"vars":[{"varval":"Murray wants to find the number of boys in his class that play AFL or soccer but don't play both.\n\n\r\n\r\nWhich shaded region in the Venn diagrams represents the boys that Murray is seeking?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-LA-CA08-o2-d.svg 234 indent vpad"}]},{"vars":[{"varval":"Tilba needs to find out the number of students studying both Biology and Physics.\n\n\r\n\r\nWhich shaded region in the Venn Diagrams represents the students that Tilba is looking for?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-LA-CA08-o1-d.svg 216 indent vpad"}]}]

NET MIG stacking 1 - 1af4512a-50c6-414f-914f-5f885bb836f4 - (June 30, 2021)

b7df2fc9-ba02-4032-8e2e-d2a6d4f38ef5 060c2332-bc21-4d50-a371-f416ab2e4030 060c2332-bc21-4d50-a371-f416ab2e4030

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"<div class=\"sm_mode\">\n\nShiver bought 13 staplers for her art class.\n\nShe bought:\n\n* one box of 9 staplers for $45.90, and\n* one box of 4 staplers for $21.05.\n\nWhat is the mean price of the 13 staplers?\n\n</div>"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Total spent | \\= 45.90 + 21.05 |\n| | \\= $66.95 |\n\n| | |\n| ----------------------------: | -------------- |\n| $\\therefore$ Mean price | \\= $\\dfrac{66.95}{13}$ |\n| | \\= $5.15 |\n\n</div>\n</div>"}]},{"vars":[{"varval":"<div class=\"sm_mode\">\n\nColin bought 12 pencils.\n\nHe bought:\n* one packet of 10 pencils for \\$23.00, and\n* another packet of 2 pencils for \\$5.20.\n\nWhat is the mean price of the 12 pencils?\n\n</div>"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Total spent | \\= 23.00 + 5.20 |\n| | \\= \\$28.20 |\n\n| | |\n| ----------------------------: | -------------- |\n| $\\therefore$ Mean price | \\= $\\dfrac{28.20}{12}$ |\n| | \\= $2.35 |\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Tinky-Winky bought 12 doughnuts.\n\nHe bought:\n\n* one box of 9 doughnuts for $38.70, and\n\n* another box of 3 doughnuts for $16.50.\n\nWhat is the mean price of the 12 doughnuts?\n"},{"varval":"<div class=\"sm_mode\">\n\n<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| Total spent | = 38.70 + 16.50 |\n| | = $55.20 |\n\n| | |\n| ----------------------------: | -------------- |\n| $\\therefore$ Mean price | \\= $\\dfrac{55.20}{12}$ |\n| | = {{{correctAnswer}}} |\n\n</div>\n\n</div>"}]}]

Geometry, NAPX-H4-CA30 SA, NAPX-H3-CA32 SA - a428feaf-c664-4ff1-b902-4f82482f255a - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In the diagram $PQ$ is a straight line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA30-SA.svg 330 indent3 vpad\n\n<br>What is the size of the angle marked $\\large a$$\\degree$?"},{"varval":"The bottom left triangle is equilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large a$$\\degree$|= $180 - (90 + 30)$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA30-SA-Answer.svg 290 indent vpad\n\n"}]},{"vars":[{"varval":"In the diagram $XY$ is a straight line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_-NAPX-H4-CA30-SA-NAPX-H3-CA32-SA.svg 300 indent3 vpad\n\n<br>What is the size of the angle marked $\\large a$$\\degree$?"},{"varval":"The bottom left triangle is equilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large a$$\\degree$|= $90 - 60$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_-NAPX-H4-CA30-SA-NAPX-H3-CA32-SA_v1ws.svg 290 indent vpad\n\n"}]}]

Geometry, NAPX-E4-NC30 SA - 5c999539-3d96-475a-bb2e-191f19849edf - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nThorfinn was designing a viking shield using 9 identical isosceles triangles, as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-NC30-SA.svg 280 indent vpad\n\nHow many degrees is the angle marked $\\large x$?\n"},{"varval":"sm_nogap Angles at centre of circle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{360}{9}$|\n|= 40$\\degree$|\n\n</div>\n\n<br>\n\nsm_nogap Since triangles are isosceles,\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|180|= 40 + 2$\\large x$|\n|2$\\large x$|= 140|\n|$\\large x$|= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"\nTerra was designing a new frisbee using 3 identical isosceles triangles, as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-E4-NC30-SA_v4.svg 150 indent2 vpad\n\nHow many degrees is the angle marked $\\large x$?\n"},{"varval":"sm_nogap Angles at centre of circle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{360}{3}$|\n|= 120$\\degree$|\n\n</div>\n\n<br>\n\nsm_nogap Since triangles are isosceles,\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|180|= 120 + 2$\\large x$|\n|2$\\large x$|= 60|\n|$\\large x$|= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"\nGlory was designing a new logo for her catering business using 5 identical isosceles triangles, as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-E4-NC30-SA_v3.svg 160 indent vpad\n\nHow many degrees is the angle marked $\\large p$?\n"},{"varval":"sm_nogap Angles at centre of circle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{360}{5}$|\n|= 72$\\degree$|\n\n</div>\n\n<br>\n\nsm_nogap Since triangles are isosceles,\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|180|= 72 + 2$\\large p$|\n|2$\\large p$|= 108|\n|$\\large p$|= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"\nBergan was designing a chicken coup using 8 identical isosceles triangles, as shown in the diagram below. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-E4-NC30-SA_v2.svg 220 indent vpad\n\nHow many degrees is the angle marked $\\large m$?\n"},{"varval":"sm_nogap Angles at centre of circle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{360}{8}$|\n|= 45$\\degree$|\n\n</div>\n\n<br>\n\nsm_nogap Since triangles are isosceles,\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|180|= 45 + 2$\\large m$|\n|2$\\large m$|= 135|\n|$\\large m$|= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"\nBilbo was designing a new thatched roof for his cottage using 6 identical isosceles triangles, as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-E4-NC30-SA_v1.svg 180 indent vpad\n\nHow many degrees is the angle marked $\\large y$?\n"},{"varval":"sm_nogap Angles at centre of circle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{360}{6}$|\n|= 60$\\degree$|\n\n</div>\n\n<br>\n\nsm_nogap Since triangles are isosceles,\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|180|= 60 + 2$\\large y$|\n|2$\\large y$|= 120|\n|$\\large y$|= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"\nWalt was designing a ferris wheel for his theme park using 12 identical isosceles triangles, as shown in the diagram below. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-E4-NC30-SA_v5.svg 260 indent vpad\n\nHow many degrees is the angle marked $\\large w$?\n"},{"varval":"sm_nogap Angles at centre of circle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{360}{12}$|\n|= 30$\\degree$|\n\n</div>\n\n<br>\n\nsm_nogap Since triangles are isosceles,\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|180|= 30 + 2$\\large w$|\n|2$\\large w$|= 150|\n|$\\large w$|= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]}]

Geometry, NAPX-F4-CA27 SA - 2be727e5-fb89-4a5c-bc8a-8e6900dd0e4c - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Six identical triangles are used to make the figure below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA27-SA.svg 160 indent3 vpad\n\nWhat is the size of the angle marked $\\large x \\degree$?\n\n"},{"varval":"Consider the centre angles of each triangle, $\\large c\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA27-SA-Answer.svg 90 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|6 $\\times\\ \\large c$$\\degree$|= 180$\\degree$|\n|$\\large c$$\\degree$|= 30$\\degree$|\n|$\\therefore \\large x$$\\degree$|= $180 - (90 + 30)$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Three identical triangles are used to make the figure below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-CA27-SA_v1.svg 120 indent3 vpad\n\nWhat is the size of the angle marked $\\large x \\degree$?\n\n"},{"varval":"Consider the centre angles of each triangle, $\\large c\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA27-SA-Answer.svg 100 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|3 $\\times\\ \\large c$$\\degree$|= 180$\\degree$|\n|$\\large c$$\\degree$|= 60$\\degree$|\n|$\\therefore \\large x$$\\degree$|= $180 - (90 + 60)$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Four identical triangles are used to make the figure below. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-CA27-SA_v2.svg 130 indent3 vpad\n\nWhat is the size of the angle marked $\\large y \\degree$?\n\n"},{"varval":"Consider the centre angles of each triangle, $\\large c\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA27-SA-Answer.svg 90 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|4 $\\times\\ \\large c$$\\degree$|= 180$\\degree$|\n|$\\large c$$\\degree$|= 45$\\degree$|\n|$\\therefore \\large y$$\\degree$|= $180 - (90 + 45)$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Five identical triangles are used to make the figure below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-CA27-SA_v3.svg 140 indent3 vpad\n\nWhat is the size of the angle marked $\\large m \\degree$?\n\n"},{"varval":"Consider the centre angles of each triangle, $\\large c\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA27-SA-Answer.svg 90 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|5 $\\times\\ \\large c$$\\degree$|= 180$\\degree$|\n|$\\large c$$\\degree$|= 36$\\degree$|\n|$\\therefore \\large m$$\\degree$|= $180 - (90 + 36)$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Twelve identical triangles are used to make the figure below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-CA27-SA_v4.svg 180 indent3 vpad\n\nWhat is the size of the angle marked $\\large x \\degree$?\n\n"},{"varval":"Consider the centre angles of each triangle, $\\large c\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA27-SA-Answer.svg 90 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|12 $\\times\\ \\large c$$\\degree$|= 180$\\degree$|\n|$\\large c$$\\degree$|= 15$\\degree$|\n|$\\therefore \\large x$$\\degree$|= $180 - (90 + 15)$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n"}]}]

Geometry, NAPX-I4-NC31 SA - c844e31d-30c4-4923-9be6-d8856a8eba1b - (June 29, 2021)

VAR1-5 ... don't change all but students have a very simple calculator and no ability to do square roots (makes the pythagorean triples v difficult). - no need to change all, but can you simplify a couple of the triples to easier ones (with multiples of 10) like 30,40,50 and 60,80,100 - on these posts, the font on the images was much smaller than the writing font on my browser (i have adjusted) - worth checking what you see I've made most of them easier. Also have made the font bigger.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nShanti travels directly from from $P$ to $R$ as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC31.svg 290 indent vpad\n\n<br>If she takes the route $P → Q → R$, how far extra does she travel?\n\n"},{"varval":"sm_nogap Using Pythagoras:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$PR^2$|= $QR^2 + QP^2$|\n||= $50^2 + 120^2$|\n||= 130$^2$|\n|$PR$|= 130 m|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Extra distance travelled\n\n>>= 120 + 50 $-$ 130\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}\n"}]},{"vars":[{"varval":"\nPortia travels directly from from $X$ to $Z$ as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC31-SA_v5b.svg 330 indent vpad\n\n<br>If she takes the route $X → Y → Z$, how far extra does she travel?\n\n"},{"varval":"sm_nogap Using Pythagoras:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$XZ^2$|= $XY^2 + YZ^2$|\n||= $7^2 + 24^2$|\n||= 625|\n|$XZ$|= $25^2$|\n|$XZ$|= 25 km|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Extra distance travelled\n\n>>= 7 + 24 $-$ 25\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}\n"}]},{"vars":[{"varval":"\nChev travels directly from from $M$ to $L$ as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC31-SA_v3a.svg 230 indent vpad\n\n<br>If he takes the route $M → N → L$, how far extra does he travel?\n\n"},{"varval":"sm_nogap Using Pythagoras:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$ML^2$|= $MN^2 + NL^2$|\n||= $80^2 + 60^2$\n||= 100$^2$|\n|$ML$|= 100 m\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Extra distance travelled\n\n>>= 60 + 80 $-$ 100\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}\n"}]},{"vars":[{"varval":"\nSean travels directly from from $X$ to $Y$ as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC31-SA_v1b.svg 270 indent vpad\n\n<br>If he takes the route $X → Z → Y$, how far extra does he travel?\n\n"},{"varval":"sm_nogap Using Pythagoras:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$XY^2$|= $YZ^2 + ZX^2$|\n||= $12^2 + 5^2$\n||= 13$^2$|\n|$XY$|= 13 km|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Extra distance travelled\n\n>>= 12 + 5 $-$ 13\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}\n"}]},{"vars":[{"varval":"\nPenny travels directly from from $A$ to $C$ as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC31-SA_v4a.svg 240 indent vpad\n\n<br>If she takes the route $A → B → C$, how far extra does she travel?\n\n"},{"varval":"sm_nogap Using Pythagoras:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$AC^2$|= $AB^2 + BC^2$|\n||= $6^2 + 8^2$|\n||= 10$^2$|\n|$AC$|= 10 km|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Extra distance travelled\n\n>>= 6 + 8 $-$ 10\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}\n"}]},{"vars":[{"varval":"\nBjorn travels directly from from $B$ to $C$ as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC31-SA_v2a.svg 290 indent vpad\n\n<br>If he takes the route $C → A → B$, how far extra does he travel?\n\n"},{"varval":"sm_nogap Using Pythagoras:\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$BC^2$|= $AC^2 + AB^2$|\n||= $30^2 + 40^2$|\n||= 50$^2$|\n|$BC$|= 50 m|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Extra distance travelled\n\n>>= 30 + 40 $-$ 50\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}\n"}]}]

Geometry, NAPX-I4-CA25 SA - cd103006-7c92-4ec7-8971-1ee0643cb013 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A regular pentagon can be divided into three triangles from one vertex, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-I4-CA25rev.svg 160 indent3 vpad\n\n<br>What is the size of the internal angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Sum of interior angles\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 3 × 180|\n||= 540$\\degree$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= 540 ÷ 5|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A regular hexagon can be divided into four triangles from one vertex, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA25-SA_v1.svg 160 indent3 vpad\n\n<br>What is the size of the internal angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Sum of interior angles\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 4 × 180|\n||= 720$\\degree$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= 720 ÷ 6|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A regular octagon can be divided into six triangles from one vertex, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA25-SA_v2.svg 260 indent3 vpad\n\n<br>What is the size of the internal angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Sum of interior angles\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 6 × 180|\n||= 1080$\\degree$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= 1080 ÷ 8|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A regular decagon can be divided into eight triangles from one vertex, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA25-SA_v3.svg 260 indent3 vpad\n\n<br>What is the size of the internal angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Sum of interior angles\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 8 × 180|\n||= 1440$\\degree$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= 1440 ÷ 10|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A regular nonagon can be divided into seven triangles from one vertex, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA25-SA_v4.svg 260 indent3 vpad\n\n<br>What is the size of the internal angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Sum of interior angles\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 7 × 180|\n||= 1260$\\degree$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= 1260 ÷ 9|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A regular dodecagon can be divided into ten triangles from one vertex, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA25-SA_v5.svg 280 indent3 vpad\n\n<br>What is the size of the internal angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Sum of interior angles\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 10 × 180|\n||= 1800$\\degree$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= 1800 ÷ 12|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]}]

Geometry, NAPX-H4-NC27 - c7b1e71c-5e43-4ac6-9f41-b4fd654391dc - (June 29, 2021)

VAR1-4 ... isosceles triangle dimensions don't work in these examples (thinking it will only work for a hexagon where you can make equilateral triangles)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A regular hexagon has a perimeter of 30 cm. \n\nIma cuts it into 6 equilateral triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-H4-NC27.svg 260 indent2 vpad\n\n<br>What is the perimeter of one of the triangles?\n"},{"varval":"sm_nogap Length of one side of hexagon\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 30 $\\div$ 5|\n||= 5 cm|\n\n</div>\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-H4-NC27-Answer1.svg 110 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Perimeter|= 5 + 5 + 5|\n||= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"A regular pentagon has a perimeter of 30 cm. \n\nIan cuts it into 5 isosceles triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v1q.svg 260 indent2 vpad\n\n<br>What is the perimeter of one of the isosceles triangles if the equal sides are 5 cm in length?\n"},{"varval":"sm_nogap Length of one side of hexagon\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 30 $\\div$ 5|\n||= 6 cm|\n\n</div>\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v1aws.svg 140 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Perimeter|= 6 + 5 + 5|\n||= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"A regular octagon has a perimeter of 96 cm.\n\nUma cuts it into 8 isosceles triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v2aq.svg 340 indent2 vpad\n\n<br>What is the perimeter of one of the isosceles triangles if the equal sides are 10 cm in length?\n"},{"varval":"sm_nogap Length of one side of hexagon\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 96 $\\div$ 8|\n||= 12 cm|\n\n</div>\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v2ws.svg 130 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Perimeter|= 12 + 10 + 10|\n||= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"A regular dodecagon has a perimeter of 108 cm.\n\nIggy cuts it into 12 isosceles triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v4s.svg 340 indent2 vpad\n\n<br>What is the perimeter of one of the isosceles triangles if the equal sides are 15 cm in length?\n"},{"varval":"sm_nogap Length of one side of dodecagon \n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 108 $\\div$ 12|\n||= 9 cm|\n\n</div>\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v4ws.svg 120 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Perimeter|= 9 + 15 + 15|\n||= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"A regular decagon has a perimeter of 240 cm. \n\nJorja cuts it into 10 isosceles triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v3s.svg 320 indent2 vpad\n\n<br>What is the perimeter of one of the isosceles triangles if the equal sides are 20 cm in length?"},{"varval":"sm_nogap Length of one side of decagon\n\n<div class=\"aligned\">\n\n>|||\n|-|-|\n||= 240 $\\div$ 10|\n||= 24 cm|\n\n</div>\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC27_v3sa.svg 130 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Perimeter|= 24 + 20 + 20|\n||= {{{correctAnswer}}} |\n\n</div>\n"}]}]

Geometry, NAPX-H4-CA26 - 3fba73da-48c6-4337-aba1-6f5c6a2d3ada - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which statement is always true?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA26.svg 160 indent vpad\n"}]},{"vars":[{"varval":"Which statement is always true?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-CA26_v1.svg 200 indent vpad\n"}]},{"vars":[{"varval":"Which statement is always true?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-CA26_v6.svg 140 indent2 vpad\n"}]},{"vars":[{"varval":"Which statement is always true?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-CA26_v3.svg 160 indent vpad\n"}]},{"vars":[{"varval":"Which statement is always true?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-CA26_v4.svg 120 indent2 vpad\n"}]},{"vars":[{"varval":"Which statement is always true?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-CA26_v5.svg 210 indent2 vpad\n"}]}]

Geometry, NAPX-G3-CA29 SA - 22144387-ad2a-4d5d-bbb6-5ed07cd6770d - (June 29, 2021)

VAR3 ... the original version stated "dodecahedron" but the image only had 10 sides. I changed the question back to match the image until you can update the image (var3 is now the same shape as var0)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Five lines of symmetry are drawn on a regular decagon pictured below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-CA29-SA.svg 200 indent vpad\n\nWhat is the size of the angle between each line of symmetry at the centre of the decagon?\n"},{"varval":"sm_nogap There are 10 angles at the centre of the decagon of the same size.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Size of angle|= 360 ÷ 10|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Three lines of symmetry are drawn on a regular hexagon pictured below. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G3-CA29-SA_v1.svg 180 indent vpad\n\nWhat is the size of the angle between each line of symmetry at the centre of the hexagon?\n"},{"varval":"sm_nogap There are 6 angles at the centre of the hexagon of the same size.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Size of angle|= 360 ÷ 6|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Four lines of symmetry are drawn on a regular octagon pictured below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G3-CA29-SA_v2.svg 180 indent vpad\n\nWhat is the size of the angle between each line of symmetry at the centre of the octagon?\n"},{"varval":"sm_nogap There are 8 angles at the centre of the octagon of the same size.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Size of angle|= 360 ÷ 8|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Six lines of symmetry are drawn on a regular dodecagon pictured below. \n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-G3-CA29-SA_v3b.svg 300 indent vpad\n\nWhat is the size of the angle between each line of symmetry at the centre of the dodecagon?\n"},{"varval":"sm_nogap There are 12 angles at the centre of the dodecagon of the same size.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Size of angle|= 360 ÷ 12|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Five lines of symmetry are drawn on a regular pentagon pictured below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G3-CA29-SA_v3.svg 200 indent vpad\n\nWhat is the size of the angle between each line of symmetry at the centre of the pentagon?\n"},{"varval":"sm_nogap There are 10 angles at the centre of the pentagon of the same size.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Size of angle|= 360 ÷ 10|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Three lines of symmetry are drawn on a equilateral triangle pictured below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G3-CA29-SA_v4.svg 200 indent vpad\n\nWhat is the size of the angle between each line of symmetry at the centre of the equilateral triangle?\n"},{"varval":"sm_nogap There are 6 angles at the centre of the equilateral triangle of the same size.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Size of angle|= 360 ÷ 6|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]}]

Geometry, NAPX-E4-NC20, NAPX-E3-NC26 - 02f889e9-4dda-475d-9461-b8b853aa07d5 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The diagonals of which shape below cross at right-angles?"},{"varval":"A rhombus has diagonals that cross at right angles.\n\n{{{correctAnswer}}}\n\n"}]},{"vars":[{"varval":"The diagonals of which shape below bisect each other?"},{"varval":"A rhombus has diagonals that bisect each other.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which shape below has two pairs of equal adjacent sides?"},{"varval":"A kite has two pairs of equal adjacent sides.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The opposite angles of which shape below are equal?"},{"varval":"The opposite angles of a parallelogram are equal.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The diagonals of which shape below **do not** intersect at right angles?"},{"varval":"The diagonals of a rectangle **do not** intersect at right angles.\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which shape below **does not** have opposite sides equal and parallel?"},{"varval":"A trapezium **does not** have opposite sides equal and parallel.\n\n{{{correctAnswer}}}\n\n"}]}]

Geometry, NAPX-G4-CA19 - c0e03f89-4221-4231-841b-4950b4fe6fc7 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which one of the following triangles has an area of 16 cm$^2$ ?\n\n\r\n\r\n(Triangles are not drawn to scale)\n\n"},{"varval":"{{{correctAnswer}}}\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\dfrac{1}{2} \\times \\large b$ × $\\large h$|\n||= $\\dfrac{1}{2} \\times 8 \\times 4$|\n||= 16 cm$^2$|\n\n</div>"}]},{"vars":[{"varval":"Which one of the following triangles has an area of 20 cm$^2$ ?\n\n\r\n\r\n(Triangles are not drawn to scale)\n\n"},{"varval":"{{{correctAnswer}}}\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\dfrac{1}{2} \\times \\large b$ × $\\large h$|\n||= $\\dfrac{1}{2} \\times 5 \\times 8$|\n||= 20 cm$^2$|\n\n</div>"}]},{"vars":[{"varval":"Which one of the following triangles has an area of 10 cm$^2$ ?\n\n\r\n\r\n(Triangles are not drawn to scale)\n\n"},{"varval":"{{{correctAnswer}}}\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\dfrac{1}{2} \\times \\large b$ × $\\large h$|\n||= $\\dfrac{1}{2} \\times 5 \\times 4$|\n||= 10 cm$^2$|\n\n</div>"}]},{"vars":[{"varval":"Which one of the following triangles has an area of 15 cm$^2$ ?\n\n\r\n\r\n(Triangles are not drawn to scale)\n\n"},{"varval":"{{{correctAnswer}}}\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\dfrac{1}{2} \\times \\large b$ × $\\large h$|\n||= $\\dfrac{1}{2} \\times 5 \\times 6$|\n||= 15 cm$^2$|\n\n</div>"}]},{"vars":[{"varval":"Which one of the following triangles has an area of 12 cm$^2$ ?\n\n\r\n\r\n(Triangles are not drawn to scale)\n\n"},{"varval":"{{{correctAnswer}}}\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\dfrac{1}{2} \\times \\large b$ × $\\large h$|\n||= $\\dfrac{1}{2} \\times 12 \\times 2$|\n||= 12 cm$^2$|\n\n</div>"}]},{"vars":[{"varval":"Which one of the following triangles has an area of 100 cm$^2$ ?\n\n\r\n\r\n(Triangles are not drawn to scale)\n\n"},{"varval":"{{{correctAnswer}}}\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\dfrac{1}{2} \\times \\large b$ × $\\large h$|\n||= $\\dfrac{1}{2} \\times 20 \\times 10$|\n||= 100 cm$^2$|\n\n</div>"}]}]

Geometry, NAPX-G4-NC23 - 475a4c04-0893-4805-b7e2-dba624d4146d - (June 29, 2021)

<div class="sm_mode"> $A, B$ and $C$ are vertices on the cube below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-G4-NC23_1.svg 240 indent vpad <br>What is the best description of $\Delta ABC$? </div>

[{"vars":null}]

Geometry, NAPX-H4-NC18 - b265dcbc-5adb-4da6-bdde-a4c2177ce026 - (June 29, 2021)

<div class="sm_mode"> Bo draws and labels 3 points, on a Cartesian plane. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-H4-NC18.svg 320 indent vpad He wants to add another point so that all 4 points can be joined to make a parallelogram. Which of these is a possible coordinate for the 4th point? </div>

[{"vars":null}]

Geometry, NAPX-G4-NC18 - c6541119-2343-4ed2-a115-0d721903028e - (June 29, 2021)

<div class="sm_mode"> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-G4-NC18_1.svg 220 indent vpad Two triangles, $AOB$ and $DOC$ are drawn in a circle with centre $O$. The two triangles are best described as: </div>

[{"vars":null}]

Geometry, NAPX-I4-CA20, NAPX-I3-CA28 - 03377c27-02e0-4fc5-8f27-8f30d41302f7 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Lines $AB$ and $CD$ are parallel.\n\n\r\nLine $EF$ intersects lines $AB$ and $CD$ as shown.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA20.svg 220 indent3 vpad\n\n<br>Which pair of angles are equal?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA20ans.svg 220 indent vpad\n\n{{{correctAnswer}}}\n\n\r\n(Alternate angles)"}]},{"vars":[{"varval":"Lines $AB$ and $CD$ are parallel.\n\n\r\nLine $EF$ intersects lines $AB$ and $CD$ as shown.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v1.svg 220 indent3 vpad\n\n<br>Which pair of angles are equal?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v1_ws.svg 220 indent vpad\n\n{{{correctAnswer}}}\n\n\r\n(Alternate angles)"}]},{"vars":[{"varval":"Lines $AB$ and $CD$ are parallel.\n\n\r\nLine $XY$ intersects lines $AB$ and $CD$ as shown.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v2.svg 220 indent3 vpad\n\n<br>Which pair of angles are equal?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v2_ws.svg 220 indent vpad\n\n{{{correctAnswer}}}\n\n\r\n(Alternate angles)"}]},{"vars":[{"varval":"Lines $AB$ and $CD$ are parallel.\n\n\r\nLine $XY$ intersects lines $AB$ and $CD$ as shown.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v2.svg 220 indent3 vpad\n\n<br>Which pair of angles are equal?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v3_ws.svg 220 indent vpad\n\n{{{correctAnswer}}}\n\n\r\n(Alternate angles)"}]},{"vars":[{"varval":"Lines $EF$ and $GH$ are parallel.\n\n\r\nLine $XY$ intersects lines $EF$ and $GH$ as shown.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v4.svg 220 indent3 vpad\n\n<br>Which pair of angles are equal?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v4_ws.svg 220 indent vpad\n\n{{{correctAnswer}}}\n\n\r\n(Alternate angles)"}]},{"vars":[{"varval":"Lines $EF$ and $GH$ are parallel.\n\n\r\nLine $XY$ intersects lines $EF$ and $GH$ as shown.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v4.svg 220 indent3 vpad\n\n<br>Which pair of angles are equal?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v5_ws.svg 220 indent vpad\n\n{{{correctAnswer}}}\n\n\r\n(Alternate angles)"}]}]

Geometry, NAPX-I4-NC19, NAPX-I3-NC22 - f1791a86-b3c8-4ed5-a171-9cd15b017890 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC19.svg 170 indent3 vpad\n\nThe square $ABDC$ is cut into two triangles along the diagonal $AD$.\n\nWhich of the following best describes triangle $ABD$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC19-ans.svg 170 indent vpad\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v1.svg 250 indent3 vpad\n\nThe rectangle $ABCD$ is cut into two triangles along the diagonal $AC$.\n\nWhich of the following best describes triangle $ABC$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v1_ws.svg 250 indent vpad\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v2.svg 190 indent3 vpad\n\nThe regular pentagon $ABCDE$ is cut in two along the line $BE$.\n\nWhich of the following best describes triangle $AEB$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v2_ws.svg 190 indent vpad\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v3.svg 190 indent3 vpad\n\nThe regular hexagon $ABCDEF$ is cut in two along the line $DF$.\n\nWhich of the following best describes triangle $DEF$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v3_ws.svg 110 indent2 vpad\n\n{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v4.svg 250 indent3 vpad\n\nThe regular octagon $ABCDEFGH$ is cut in two along the line $AC$.\n\nWhich of the following best describes triangle $ABC$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v4_ws.svg 210 indent2 vpad\n\n{{{correctAnswer}}}\n"}]}]

Geometry, NAPX9-TLD-CA18 v3 - 91abd5ae-941b-43ca-9d98-7b846be25902 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A regular hexagon has six internal angles.\n\nWhat type of angle is each internal angle?\n"},{"varval":"90$\\degree$ < {{{correctAnswer}}} $< 180\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX9-TLD-18-3-293x300.png 200 indent vpad"}]},{"vars":[{"varval":"A regular pentagon has five internal angles.\n\nWhat type of angle is each internal angle?\n"},{"varval":"90$\\degree$ < {{{correctAnswer}}} $< 180\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX9-TLD-CA18-v3_v1.svg 200 indent vpad"}]},{"vars":[{"varval":"A regular octagon has eight internal angles.\n\nWhat type of angle is each internal angle?\n"},{"varval":"90$\\degree$ < {{{correctAnswer}}} $< 180\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX9-TLD-CA18-v3_v2.svg 200 indent vpad"}]},{"vars":[{"varval":"A regular decagon has ten internal angles.\n\nWhat type of angle is each internal angle?\n"},{"varval":"90$\\degree$ < {{{correctAnswer}}} $< 180\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX9-TLD-CA18-v3_v3a.svg 200 indent vpad"}]},{"vars":[{"varval":"A regular dodecagon has twelve internal angles.\n\nWhat type of angle is each internal angle?\n"},{"varval":"90$\\degree$ < {{{correctAnswer}}} $< 180\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX9-TLD-CA18-v3_v4.svg 200 indent vpad"}]},{"vars":[{"varval":"A regular nonagon has nine internal angles.\n\nWhat type of angle is each internal angle?\n"},{"varval":"90$\\degree$ < {{{correctAnswer}}} $< 180\\degree$\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX9-TLD-CA18-v3_v5.svg 200 indent vpad\n"}]}]

Geometry, NAPX9-TLE-39 v3 - 76a26af7-eab9-4d50-ba19-e3d9fed64ea0 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A parallelogram is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX9-TLE-39-2.svg 275 indent2 vpad\n\n<br>What is the size of <span class=\"sm_katex-font\">$\\angle$</span>$BAD$?"},{"varval":"sm_nogap Since diagonally opposite angles are equal:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ <span class=\"sm_katex-font\">$\\angle$</span>$BAD$|= $\\dfrac{1}{2} (360 - (2 \\times 130))$|\n||= $\\dfrac{1}{2} \\times 100$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A parallelogram is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX9-TLE-39-v3_1.svg 275 indent2 vpad\n\n<br>What is the size of <span class=\"sm_katex-font\">$\\angle$</span>$BAD$?"},{"varval":"sm_nogap Since diagonally opposite angles are equal:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ <span class=\"sm_katex-font\">$\\angle$</span>$BAD$|= $\\dfrac{1}{2} (360 - (2 \\times 50))$|\n||= $\\dfrac{1}{2} \\times 260$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A parallelogram is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX9-TLE-39-v3_2.svg 275 indent2 vpad\n\n<br>What is the size of <span class=\"sm_katex-font\">$\\angle$</span>$WXY$?"},{"varval":"sm_nogap Since diagonally opposite angles are equal:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ <span class=\"sm_katex-font\">$\\angle$</span>$WXY$|= $\\dfrac{1}{2} (360 - (2 \\times 120))$|\n||= $\\dfrac{1}{2} \\times 120$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A parallelogram is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX9-TLE-39-v3_3.svg 355 indent2 vpad\n\n<br>What is the size of <span class=\"sm_katex-font\">$\\angle$</span>$MPO$?"},{"varval":"sm_nogap Since diagonally opposite angles are equal:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ <span class=\"sm_katex-font\">$\\angle$</span>$MPO$|= $\\dfrac{1}{2} (360 - (2 \\times 40))$|\n||= $\\dfrac{1}{2} \\times 280$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A parallelogram is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX9-TLE-39-v3_4.svg 175 indent2 vpad\n\n<br>What is the size of <span class=\"sm_katex-font\">$\\angle$</span>$QRS$?"},{"varval":"sm_nogap Since diagonally opposite angles are equal:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ <span class=\"sm_katex-font\">$\\angle$</span>$QRS$|= $\\dfrac{1}{2} (360 - (2 \\times 105))$|\n||= $\\dfrac{1}{2} \\times 150$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A parallelogram is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX9-TLE-39-v3_5.svg 175 indent2 vpad\n\n<br>What is the size of <span class=\"sm_katex-font\">$\\angle$</span>$PQR$?"},{"varval":"sm_nogap Since diagonally opposite angles are equal:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ <span class=\"sm_katex-font\">$\\angle$</span>$PQR$|= $\\dfrac{1}{2} (360 - (2 \\times 77))$|\n||= $\\dfrac{1}{2} \\times 206$|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Geometry, NAPX-J4-CA15 SA - fad6ab02-77c0-4261-9eae-781e03a212d4 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the size of the angle marked $\\large x$$\\degree$ in the diagram below?\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA15.svg 200 indent3 vpad\n"},{"varval":"sm_nogap Since 360$\\degree$ in a quadrilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large x$$\\degree$|= $360 - (103 + 88 + 62)$|\n||= $360 - 253$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the size of the angle marked $\\large x$$\\degree$ in the diagram below?\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v1.svg 200 indent2 vpad"},{"varval":"sm_nogap Since 360$\\degree$ in a quadrilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large x$$\\degree$|= $360 - (124 + 77 + 82)$|\n||= $360 - 283$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the size of the angle marked $\\large x$$\\degree$ in the diagram below?\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v2.svg 200 indent3 vpad\n"},{"varval":"sm_nogap Since 360$\\degree$ in a quadrilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large x$$\\degree$|= $360 - (68 + 97 + 79)$|\n||= $360 - 244$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the size of the angle marked $\\large x$$\\degree$ in the diagram below?\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v3.svg 250 indent2 vpad\n"},{"varval":"sm_nogap Since 360$\\degree$ in a quadrilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large x$$\\degree$|= $360 - (28 + 100 + 30)$|\n||= $360 - 158$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the size of the angle marked $\\large x$$\\degree$ in the diagram below?\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v4.svg 140 indent3 vpad\n"},{"varval":"sm_nogap Since 360$\\degree$ in a quadrilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large x$$\\degree$|= $360 - (46 + 95 + 112)$|\n||= $360 - 253$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"What is the size of the angle marked $\\large x$$\\degree$ in the diagram below?\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-J4-CA15-SA_v5.svg 200 indent2 vpad\n"},{"varval":"sm_nogap Since 360$\\degree$ in a quadrilateral.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large x$$\\degree$|= $360 - (55 + 47 + 18)$|\n||= $360 - 120$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]}]

Geometry, NAPX-F4-NC13 - f8d947ca-baae-4581-a016-cbf7e1033760 - (June 29, 2021)

<div class="sm_mode"> Which of the following triangle types is **impossible** to draw? </div>

[{"vars":null}]

Geometry, NAPX-H4-NC12 - e9023c57-a141-4db7-83a5-5b7ed01ad47f - (June 29, 2021)

<div class="sm_mode"> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-H4-NC12.svg 250 indent3 vpad <br>$ABCD$ is a trapezium. Which of these must be a property of $ABCD$? </div>

[{"vars":null}]

Geometry, NAPX-I4-CA16 SA - e6c3b65c-4ba2-4c48-b978-bf18b2b21494 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA16.svg 380 indent2 vpad\n\nWhat is the size of angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Base angles of the isosceles triangle both = 32$\\degree$\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 32$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v5a.svg 340 indent2 vpad\n\nWhat is the size of angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Base angles of the isosceles triangle both = 45$\\degree$\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 45$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v1.svg 300 indent2 vpad\n\nWhat is the size of angle $\\large x \\degree$?"},{"varval":"sm_nogap Base angles of the isosceles triangle both = 63$\\degree$\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 63$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v2.svg 400 indent2 vpad\n\nWhat is the size of angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Base angles of the isosceles triangle both = 36$\\degree$\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 36$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v6.svg 80 indent2 vpad\n\nWhat is the size of angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Base angles of the isosceles triangle both = 31$\\degree$\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 31$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/12/Geom_NAPX-I4-CA16-SA_v3.svg 180 indent2 vpad\n\nWhat is the size of angle $\\large x$$\\degree$?"},{"varval":"sm_nogap Base angles of the isosceles triangle both = 69$\\degree$\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 69$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>"}]}]

Geometry, NAPX-H4-CA12 - 036f8257-e2bc-4826-8702-71af3586ee2a - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Triangle $PQR$ is an isosceles triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA121.svg 200 indent vpad\n\nWhat is the size of the angle <span class=\"sm_katex-font\">$\\angle$</span>$PQR$?"},{"varval":"Since 180$\\degree$ in $\\Delta$,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_katex-font\">$\\angle$</span>$PQR$|= $180 - (74 + 74)$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Triangle $PQR$ is an isosceles triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v4.svg 120 indent2 vpad\n\nWhat is the size of the angle <span class=\"sm_katex-font\">$\\angle$</span>$PQR$?"},{"varval":"Since 180$\\degree$ in a $\\Delta$,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_katex-font\">$\\angle$</span>$PQR$|= $180 - (2 \\times39)$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Triangle $PQR$ is an isosceles triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v5.svg 180 indent vpad\n\nWhat is the size of the angle <span class=\"sm_katex-font\">$\\angle$</span>$QPR$?"},{"varval":"Since 180$\\degree$ in a $\\Delta$,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_katex-font\">$\\angle$</span>$QPR$|= $180 - (2 \\times73)$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Triangle $PQR$ is an isosceles triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v3.svg 200 indent vpad\n\nWhat is the size of the angle <span class=\"sm_katex-font\">$\\angle$</span>$PRQ$?"},{"varval":"Since 180$\\degree$ in a $\\Delta$,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_katex-font\">$\\angle$</span>$PRQ$|= $180 - (2\\times 81)$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Triangle $PQR$ is an isosceles triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v2.svg 220 indent vpad\n\nWhat is the size of the angle <span class=\"sm_katex-font\">$\\angle$</span>$QPR$?"},{"varval":"Since 180$\\degree$ in a $\\Delta$,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_katex-font\">$\\angle$</span>$QPR$|= $180 - (2\\times 61)$|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"Triangle $PQR$ is an isosceles triangle.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/01/Geom_NAPX-H4-CA12_v1.svg 280 indent vpad\n\nWhat is the size of the angle <span class=\"sm_katex-font\">$\\angle$</span>$PRQ$?"},{"varval":"Since 180$\\degree$ in $\\Delta$,\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|<span class=\"sm_katex-font\">$\\angle$</span>$PRQ$|= $180 - (2\\times 76)$|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Geometry, NAPX-I3-CA26 SA - 32522c03-c8a4-4dba-9962-e375dfd15b80 - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Rob creates a design that is made up of 3 rectangles and 2 straight lines, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-CA26-SA.svg 280 indent3 vpad\n\n<br>What is the size of angle $\\large x \\degree$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-CA26-SA-Answer.svg 280 indent3 vpad\n\n<br>Base angles of isosceles triangle = 30$\\degree$\n\n\r\nSince 180$\\degree$ in a straight line:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large a$$\\degree$|= $180 - (90 + 30)$|\n||= 60$\\degree$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$|= $180 - 60$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"Chloe creates a design that is made up of 3 rectangles and 2 straight lines, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v1.svg 240 indent3 vpad\n\n<br>What is the size of angle $\\large x \\degree$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v1_ws.svg 260 indent3 vpad\n\n<br>Base angles of isosceles triangle = 55$\\degree$\n\n\r\nSince 180$\\degree$ in a straight line:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large a$$\\degree$|= $180 - (90 + 55)$|\n||= 35$\\degree$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$|= $180 - 35$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"Dudley creates a design that is made up of 3 rectangles and 2 straight lines, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v2a.svg 220 indent3 vpad\n\n<br>What is the size of angle $\\large x \\degree$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v2a_ws.svg 220 indent3 vpad\n\n<br>Base angles of isosceles triangle = 45$\\degree$\n\n\r\nSince 180$\\degree$ in a straight line:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large a$$\\degree$|= $180 - (90 + 45)$|\n||= 45$\\degree$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 45$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"Lidija creates a design that is made up of 3 rectangles and 2 straight lines, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v3.svg 260 indent3 vpad\n\n<br>What is the size of angle $\\large x \\degree$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v3_ws.svg 260 indent3 vpad\n\n<br>Base angles of isosceles triangle = 51$\\degree$\n\n\r\nSince 180$\\degree$ in a straight line:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large a$$\\degree$|= $180 - (90 + 51)$|\n||= 39$\\degree$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 39$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"Bernie creates a design that is made up of 3 rectangles and 2 straight lines, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v4.svg 310 indent3 vpad\n\n<br>What is the size of angle $\\large x \\degree$?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I3-CA26-SA_v4_ws.svg 310 indent3 vpad\n\n<br>Base angles of isosceles triangle = 27$\\degree$\n\n\r\nSince 180$\\degree$ in a straight line:\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\large a$$\\degree$|= $180 - (90 + 27)$|\n||= 63$\\degree$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large x$$\\degree$|= $180 - 63$|\n||= {{{correctAnswer0}}}{{{suffix0}}}|\n\n</div>\n\n"}]}]

Geometry, NAPX-p115102v01 - 3451cd0d-4c77-4b3c-a693-7a65cf025bfd - (June 29, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these is an octagon?"},{"varval":"{{{correctAnswer}}}\n\nAn octagon has 8 sides"}]},{"vars":[{"varval":"Which of these is a pentagon?"},{"varval":"{{{correctAnswer}}}\n\nA pentagon has 5 sides"}]},{"vars":[{"varval":"Which of these is a regular hexagon?"},{"varval":"{{{correctAnswer}}}\n\nA regular hexagon has 6 equal sides"}]},{"vars":[{"varval":"Which of these is a decagon?"},{"varval":"{{{correctAnswer}}}\n\nA decagon has 10 sides"}]},{"vars":[{"varval":"Which of these is a trapezium?"},{"varval":"{{{correctAnswer}}}\n\nA trapezium is a quadrilateral with one pair of parallel sides"}]},{"vars":[{"varval":"Which of these is a rhombus?"},{"varval":"{{{correctAnswer}}}\n\nA rhombus is a quadrilateral with four equal sides"}]}]

Geometry, NAPX9-TLE-28 v3 - 1c654199-7666-4dc5-b39f-13485c04f7be - (June 29, 2021)

<div class="sm_mode"> Floyd draws a sketch of his back paddock which is in the shape of a quadrilateral. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX9-TLE-28-v3.svg 260 indent3 vpad <br>What is the size of angle $\large x\degree$? </div>

[{"vars":null}]

Geometry, NAPX-G4-CA12, NAPX-G3-CA11 - 0f675613-2647-4291-a64f-44d285eb5550 - (June 29, 2021)

<div class="sm_mode"> A ramp rises 1 metre for every 12 metres of its base length. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/naplan-2014-12mc-300x132-1.svg 280 indent3 vpad <br>If the ramp rises 0.8 metres, what is its base length? </div>

[{"vars":null}]

Geometry, NAPX9-TLB-18 v3 - 0248a4bb-35b1-42b5-b24b-808373209727 - (June 29, 2021)

<div class="sm_mode"> Sarah plotted the points $A − F$ on grid paper, as shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX-TL-B-18-2.svg 420 indent3 vpad She then joined some of the points together with lines. Which of these pairs of lines are parallel? </div>

[{"vars":null}]

Geometry, NAPX-G4-CA05* - 46c38c34-6b95-4c2a-8355-233ad608bfca - (June 28, 2021)

<div class="sm_mode"> In which of these are the two shaded triangles the same size and shape? </div>

[{"vars":null}]

Geometry, NAPX-G4-CA05, NAPX-G3-CA06 - 2d1cfb29-744b-498e-9871-387ce34c3fcb - (June 28, 2021)

<div class="sm_mode"> A rectangle is cut along its diagonals to produce four triangles. These triangles are best described as </div>

[{"vars":null}]

Measurement, NAPX-F4-NC32 SA - a5377d90-712e-4798-83c5-8ee6e399fa3f - (June 28, 2021)

<div class="sm_mode"> Triangles $ABC$ and $ADE$ are similar. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC32.svg 280 indent3 vpad <br>What is the distance from $A$ to $D$? </div>

[{"vars":null}]

Measurement, NAPX-I4-NC32 - f788539a-5424-4f20-813b-c9624d2c80b6 - (June 28, 2021)

<div class="sm_mode"> Magnolia and Talia hold retreats on their respective properties. The size of each property is shown in the table below: <br> <div class="sm-table row1-color8"> >>| Property Owner | Property Size| |:-|:-:| | Magnolia | 2 square kilometres| | Talia | 40 000 square metres| </div> <br>What is the ratio of the land area of Magnolia's property to Talia's property. </div>

[{"vars":null}]

Measurement, NAPX-E4-NC32 SA - 72d0f4c9-b943-40a8-99cc-bf835f272e92 - (June 28, 2021)

<div class="sm_mode"> Two circles have the same centre, $O$, as shown in the diagram below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-NC32-SA.svg 240 indent vpad The radius of the small circle is $\dfrac{3}{4}$ the radius of the large circle. Arc $CD$ is 24 mm and the angle between the lines $AC$ and BD is 30$\degree$. What is the length of the arc $RS$ in millimetres? </div>

[{"vars":null}]

Measurement, NAPX-J4-CA25 - 9b074da4-88b8-411f-84e4-4e9d16f4c796 - (June 28, 2021)

<div class="sm_mode"> Zappa is making a scale model of his music studio. * The height of the studio in the scale model is 5 centimetres. * The height of Zappa's actual studio is 2 metres. What does 1 centimetre in Zappa's scale model represent in his real studio? </div>

[{"vars":null}]

Geometry, NAPX-L4-CA13 v1 - 3a214852-98e5-49fa-adff-c4408cbb6038 - (June 28, 2021)

<div class="sm_mode"> Chisholm has a photo which is 15 cm high and 20 cm wide. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-L4-13-ver1.svg 300 indent3 vpad <br>He wants to enlarge it to make a photo with a height of 30 cm. What will be the width of the poster? </div>

[{"vars":[]}]

Measurement, NAPX-I4-NC07 - 1316f760-1f05-4855-908c-532e306fa77c - (June 28, 2021)

<div class="sm_mode"> Willow placed the foot of her ladder 2.5 metres from the base of the wall. The ratio of the vertical height of the ladder to its distance from the wall on the ground is $6:1$. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-I4-NC07new.svg 330 indent3 vpad <br>What is the vertical height of the ladder? </div>

[{"vars":null}]

Geometry, NAPX-L4-CA13 v2 - da81169b-d3d9-4c64-bfab-8029b2b74921 - (June 28, 2021)

<div class="sm_mode"> Bruce has a photo which is 15 cm high and 10 cm wide. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-L4-13-ver2r.svg 180 indent3 vpad <br>Bruce wants to enlarge it to make a poster with a width of 30 cm. What will be the height of the poster? </div>

[{"vars":null}]

Geometry, NAPX-F4-CA30 SA - 1fd27a1d-389c-455d-ae3e-2fb7ce559430 - (June 28, 2021)

<div class="sm_mode"> 5 towns are drawn in the diagram below and labelled T1 to T5. The range of travel times between towns is shown on the diagram. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-F4-CA30-SA.svg 350 indent3 vpad <br>What is the **shortest possible** travel time from T1 to T5? </div>

[{"vars":null}]

Geometry, NAPX-F4-NC26 - b5e68ada-5e77-48c4-b5f2-377024f0d192 - (June 28, 2021)

<div class="sm_mode"> Peter takes a photo of a skateboard ramp from the east. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-F4-NC26.svg 200 indent3 vpad <br>Which view could be from the south? </div>

[{"vars":null}]

Geometry, NAPX9-TLF-CA33 v3 - ffab9976-7bd7-4ce4-a996-0185abbf8314 - (June 28, 2021)

<div class="sm_mode"> Aaron’s house is 50 metres directly west of Ciana's house. Barry’s house is 50 metres due south of Aaron's house. Ciana is at her house facing directly east and turns anticlockwise until she is facing in the exact direction of Barry’s house. How many degrees does Ciana turn through? </div>

[{"vars":null}]

Geometry, NAPX-G4-NC21 - a412f9cf-9f8a-4809-b2bd-54e05ec0909a - (June 28, 2021)

<div class="sm_mode"> Wyatt enters a park and wants to get to the pond. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-G4-NC21.svg 620 indent1 vpad <br>Which route is the shortest distance Wyatt can take? </div>

[{"vars":null}]

Geometry, NAPX-I4-NC15 - 01834398-93aa-49ce-91e0-3c1b07a12f8e - (June 28, 2021)

<div class="sm_mode"> Xavier draws a scale map of Australia on a coordinate grid. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-I4-NC15.svg 440 indent3 vpad <br>He knows that the actual distance between Arno Bay and Sydney is 1782 kilometres. Which scale value should Xavier use for his map? </div>

[{"vars":null}]

Geometry, NAPX-L4-CA14 v2 - b6f55e18-3238-45f3-a5b3-77e12f84123d - (June 28, 2021)

<div class="sm_mode"> Meghan is running. She makes a quarter turn to her right and continues running in the direction due North. What direction was Meghan originally running in? </div>

[{"vars":null}]

Geometry, NAPX-L4-CA15 v1 - 8a7adb8b-4d24-45cd-aa64-0c0cdcd53e6e - (June 28, 2021)

<div class="sm_mode"> Grant is a town planner and needs to know the angles between streets in the diagram below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-L4-15-ver1.svg 300 indent vpad <br>Grant knows that Dooley Street and Fittler Street are parallel. What is the size of the shaded angle on the map? </div>

[{"vars":null}]

Geometry, NAPX9-TLB-14 v3 - fafa2ec5-ad10-4de0-861b-1cbda32fe310 - (June 28, 2021)

<div class="sm_mode"> A city map is shown below. In what direction is the park from the meat shop? sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX-TL-B-13-3.svg 350 indent vpad </div>

[{"vars":null}]

Geometry, NAPX-F4-CA02 - 733f5409-84f7-4c35-bc03-48b89deedead - (June 28, 2021)

<div class="sm_mode"> The distance between Sydney and Dubbo on the map below is 7 cm. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-F4-CA02.svg 350 indent vpad <br>The scale of the map is 1 cm = 50 km. What is the actual distance between Sydney and Dubbo? </div>

[{"vars":null}]

Geometry, NAPX-H3-CA01 - 6c4d9236-f060-4580-821d-2f6d28a985ed - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This is a street map.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-H3-CA01_1.svg 500 indent3 vpad\n\n<br>About how far is it from Ali's house to Zilda's house?"},{"varval":"The distance is approximately 3.5 times the width of the scale interval.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Distance|≈ 3.5 × 60|\n||≈ {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"This is a street map.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/NAP-H3-011.png 450 indent3 vpad\n\n<br>\n\nAbout how far is it from Matt's house to Ali's house?"},{"varval":"The distance between Matt and Ali's house is about 2.5 times the width of the scale interval of 40 metres.\n\n<div class=\"aligned\">\n\n| | |\n| --- | ---------------------- |\n| $\\therefore$ Distance | $\\approx$ 2.5 $\\times$ 40 |\n| | $\\approx$ {{{correctAnswer}}} |\n\n</div>"}]}]

Geometry, NAPX-F3-NC02 - aac54293-ed19-4048-900d-8cc00a3e4d78 - (June 28, 2021)

<div class="sm_mode"> This spreadsheet shows the names of students in three classes. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-F3-NC02.svg 350 indent2 vpad <br>Which student's name is in cell B3? </div>

[{"vars":null}]

Geometry, NAPX-E4-CA28 SA, NAPX-E3-CA31 SA - 222d5ee1-82a5-4ee6-9e68-b21af5f6d612 - (June 28, 2021)

<div class="sm_mode"> Darrell put 4 points on a grid and labelled them $V$ to $Y$, as shown on the diagram below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-CA28.svg 290 indent2 vpad <br>Point $V$ is 56 millimetres from point $X$. Darrell adds a fifth point, $Z$ so that the arrangement of points has one line of symmetry. How far is point $Z$ from point $Y$? </div>

[{"vars":null}]

Geometry, NAPX-F4-NC22 SA - f0eac580-2613-4922-9483-9ffbcb021ffd - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The object below is a prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-NC22.svg 170 indent3 vpad\n\n<br>How many **edges** does the object have?\n"},{"varval":"Edges on front face = 12\n \r\nEdges on back face = 12\n\n\r\nEdges on side = 12\n\n\r\n$\\therefore$ {{{correctAnswer0}}} edges\n"}]},{"vars":[{"varval":"The object below is a prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-F4-NC22-SA_v1.svg 170 indent3 vpad\n\n<br>How many **edges** does the object have?\n"},{"varval":"Edges on front face = 12\n \r\nEdges on back face = 12\n\n\r\nEdges on side = 12\n\n\r\n$\\therefore$ {{{correctAnswer0}}} edges\n"}]},{"vars":[{"varval":"The object below is a prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-F4-NC22-SA_v2.svg 170 indent3 vpad\n\n<br>How many **edges** does the object have?\n"},{"varval":"Edges on top face = 12\n \r\nEdges on bottom face = 12\n\n\r\nEdges on side = 12\n\n\r\n$\\therefore$ {{{correctAnswer0}}} edges\n"}]},{"vars":[{"varval":"The object below is a prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-F4-NC22-SA_v3.svg 190 indent3 vpad\n\n<br>How many **edges** does the object have?"},{"varval":"Edges on top face = 20\n \r\nEdges on bottom face = 20\n\n\r\nEdges on side = 20\n\n\r\n$\\therefore$ {{{correctAnswer0}}} edges\n"}]},{"vars":[{"varval":"The object below is a prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-F4-NC22-SA_v4.svg 270 indent3 vpad\n\n<br>How many **edges** does the object have?"},{"varval":"Edges on top face = 24\n \r\nEdges on bottom face = 24\n\n\r\nEdges on side = 24\n\n\r\n$\\therefore$ {{{correctAnswer0}}} edges\n"}]},{"vars":[{"varval":"The object below is a prism.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-F4-NC22-SA_v5.svg 350 indent3 vpad\n\n<br>How many **edges** does the object have?"},{"varval":"Edges on top face = 28\n \r\nEdges on bottom face = 28\n\n\r\nEdges on side = 28\n\n\r\n$\\therefore$ {{{correctAnswer0}}} edges\n"}]}]

Geometry, NAPX-I3-NC32 SA - 41dd6cf3-7680-4692-ae6b-62a61ca5b338 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A rectangular piece of wood is cut out of the prism below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-I3-NC32-SA.svg 400 indent3 vpad\n\n<br>The rectangular piece creates an opening at the front and back of the prism.\n\n\r\n\r\nHow many edges does the original piece of wood have after the rectangular prism is removed?\n"},{"varval":"Edges on front face = 16\n\n\r\nEdges on back face = 16\n\n\r\nEdges on side (including the hole)\r = 16\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges| = 16 + 16 + 16|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular piece of wood is cut out of the prism below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v1.svg 360 indent3 vpad\n\n<br>The rectangular piece creates an opening at the front and back of the prism.\n\n\r\n\r\nHow many edges does the original piece of wood have after the rectangular prism is removed?\n"},{"varval":"Edges on front face = 14\n\n\r\nEdges on back face = 14\n\n\r\nEdges on side (including the hole)\r = 14\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges| = 14 + 14 + 14|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular piece of wood is cut out of the prism below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v2.svg 420 indent3 vpad\n\n<br>The rectangular piece creates an opening at the front and back of the prism.\n\n\r\n\r\nHow many edges does the original piece of wood have after the rectangular prism is removed?"},{"varval":"Edges on front face = 24\n\n\r\nEdges on back face = 24\n\n\r\nEdges on side (including the hole)\r = 24\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges| = 24 + 24 + 24|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular piece of wood is cut out of the prism below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v3.svg 300 indent3 vpad\n\n<br>The rectangular piece creates an opening at the front and back of the prism.\n\n\r\n\r\nHow many edges does the original piece of wood have after the rectangular prism is removed?"},{"varval":"Edges on front face = 20\n\n\r\nEdges on back face = 20\n\n\r\nEdges on side (including the hole)\r = 20\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges| = 20 + 20 + 20|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular piece of wood is cut out of the prism below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v4.svg 300 indent3 vpad\n\n<br>The rectangular piece creates an opening at the front and back of the prism.\n\n\r\n\r\nHow many edges does the original piece of wood have after the rectangular prism is removed?"},{"varval":"Edges on top face = 22\n\n\r\nEdges on bottom face = 22\n\n\r\nEdges on side (including the hole)\r = 22\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges| = 22 + 22 + 22|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular piece of wood is cut out of the prism below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-I3-NC32-SA_v5.svg 350 indent3 vpad\n\n<br>The rectangular piece creates an opening at the front and back of the prism.\n\n\r\n\r\nHow many edges does the original piece of wood have after the rectangular prism is removed?"},{"varval":"Edges on front face = 16\n\n\r\nEdges on back face = 16\n\n\r\nEdges on side (including the hole)\r = 16\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges| = 16 + 16 + 16|\n||= {{{correctAnswer0}}}|\n\n</div>"}]}]

Geometry, NAPX-H3-NC31 SA - ca645fd9-9b0e-49a5-8454-0e1bfb95382a - (June 28, 2021)

<div class="sm_mode"> Manuel cuts a triangular prism to make two smaller prisms. What is the highest number of total faces that the two smaller prisms could have combined? </div>

[{"vars":null}]

Geometry, NAPX-J4-CA27, NAPX-J3-CA29 - 8e96bb40-7ff7-4618-829e-607b4ef0f3c1 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This shape is reflected across the line and then rotated 90° anti-clockwise.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA27.svg 150 indent3 vpad\n\n<br>Which image shows the appearance of the shape after these transformations?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"This shape is rotated 90° anti-clockwise and then reflected in the line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA27.svg 150 indent3 vpad\n\n<br>Which image shows the appearance of the shape after these transformations?\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"This shape is reflected in the line and then rotated 90° clockwise.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-J4-CA27_NAPX-J3-CA29v3.svg 140 indent3 vpad\n\n<br>Which image shows the appearance of the shape after these transformations?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"This shape is reflected in the line and then rotated 90° anti-clockwise.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-J4-CA27_NAPX-J3-CA29v3.svg 140 indent3 vpad\n\n<br>Which image shows the appearance of the shape after these transformations?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"This shape is rotated 90° clockwise and then reflected in the line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-J4-CA27_NAPX-J3-CA29v3.svg 140 indent3 vpad\n\n<br>Which image shows the appearance of the shape after these transformations?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"This shape is reflected in the line and then rotated 90° anticlockwise.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-J4-CA27_NAPX-J3-CA29v5.svg 140 indent3 vpad\n\n<br>Which image shows the appearance of the shape after these transformations?"},{"varval":"{{{correctAnswer}}}"}]}]

Geometry, NAPX-E4-NC21 - d8755082-c70c-4ab0-bb9a-15b24896cd63 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A H-shaped prism is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-E4-NC21.svg 150 indent3 vpad\n\n<br>How many edges does the prism have?\n"},{"varval":"Edges on front face = 12\n\n\r\nEdges on back face = 12\n\n\r\nEdges connecting front and back = 12\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges|= 12 + 12 + 12|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"An F-shaped prism is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E4-NC21_v1.svg 120 indent3 vpad\n\n<br>How many edges does the prism have?\n"},{"varval":"Edges on front face = 10\n\n\r\nEdges on back face = 10\n\n\r\nEdges connecting front and back = 10\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges|= 10 + 10 + 10|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"An E-shaped prism is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E4-NC21_v2.svg 80 indent3 vpad\n\n<br>How many edges does the prism have?"},{"varval":"Edges on front face = 12\n\n\r\nEdges on back face = 12\n\n\r\nEdges connecting front and back = 12\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges|= 12 + 12 + 12|\n||= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"An S-shaped prism is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E4-NC21_v3.svg 220 indent3 vpad\n\n<br>How many edges does the prism have?"},{"varval":"Edges on top face = 16\n\n\r\nEdges on bottom face = 16\n\n\r\nEdges connecting top and bottom = 16\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges|= 16 + 16 + 16|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A P-shaped prism is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E4-NC21_v4.svg 100 indent3 vpad\n\n<br>How many edges does the prism have?"},{"varval":"Edges on front face = 10\n\n\r\nEdges on back face = 10\n\n\r\nEdges connecting front and back = 10\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges|= 10 + 10 + 10|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"An R-shaped prism is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E4-NC21_v5.svg 130 indent3 vpad\n\n<br>How many edges does the prism have?"},{"varval":"Edges on front face = 15\n\n\r\nEdges on back face = 15\n\n\r\nEdges connecting front and back = 15\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total edges|= 15 + 15 + 15|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Geometry, NAPX-H4-NC22 - 4d8b417e-31a9-4cfb-a1bd-fa7c9e977abe - (June 28, 2021)

The answer to this question doesn't seem correct as the lines do NOT look longer than a "4"

<div class="sm_mode"> Hugh is using a computer graphics program to draw the following shapes. Three of his commands and the resulting shapes are drawn below: <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/06/Geometry-NAPX-H4-NC22.svg 480 indent vpad <br>Which shape would be drawn by the command: shape (2, 6, 135)? </div>

[{"vars":null}]

Geometry, NAPX-G3-NC31 SA, NAPX-G2-40 - b8b36761-79ce-47d0-a7ae-f2b6979273b7 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The pictures show the front, side and top views of an object made of cubes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC31.svg 480 indent vpad\n\n<br>How many cubes are needed to make the object?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC31rev.svg 180 indent vpad\n\nUsing the top view\n\n\r\n$\\rArr$ 7 cubes on base.\r\n \r\n\r\nUsing the front view\n\n\r\n$\\rArr$ Stacked cubes only along the middle row.\r\n \r\n\r\nUsing the side view\n\n\r\n$\\rArr$ Stacked levels are 3 cubes high.\r\n \r\n\r\n$\\therefore$ Total cubes in the object = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The pictures show the front, side and top views of an object made of cubes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v1.svg 540 indent vpad\n\n<br>How many cubes are needed to make the object?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v1ws1.svg 250 indent vpad\n\nUsing the top view\n\n\r\n$\\rArr$ 7 cubes on base.\r\n \r\n\r\nUsing the front view\n\n\r\n$\\rArr$ Stacked cubes only along the second row.\r\n \r\n\r\nUsing the side view\n\n\r\n$\\rArr$ Stacked levels are 1 cube high.\r\n \r\n\r\n$\\therefore$ Total cubes in the object = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The pictures show the front, side and top views of an object made of cubes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v2.svg 480 indent vpad\n\n<br>How many cubes are needed to make the object?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v2ws1.svg 200 indent vpad\n\nUsing the front view\n\n\r\n$\\rArr$ 8 cubes on front.\n \r\n\r\nUsing the right side view\n\n\r\n$\\rArr$ Cubes are added on the top and second rows\n \r\n\r\nUsing the top view\n\n\r\n$\\rArr$ Confirms 1 cube only is added to the top and second rows identified in the right side view.\n \r\n\r\n$\\therefore$ Total cubes in the object = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The pictures show the front, side and top views of an object made of cubes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v3.svg 480 indent vpad\n\n<br>How many cubes are needed to make the object?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v3ws.svg 300 indent vpad\n\nUsing the top view\n\n\r\n$\\rArr$ 7 cubes on base.\r\n \r\n\r\nUsing the front view\n\n\r\n$\\rArr$ Stacked cubes are two high on the left hand side and three high on right hand side. \n \r\n\r\nUsing the side view\n\n\r\n$\\rArr$ Stacked levels are all on the back row. 1 cube high \ron the left back and 2 cubes high on the right back. \n \r\n\r\n$\\therefore$ Total cubes in the object = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The pictures show the front, side and top views of an object made of cubes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v4.svg 520 indent vpad\n\n<br>How many cubes are needed to make the object?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v4ws.svg 260 indent vpad\n\nUsing the top view\n\n\r\n$\\rArr$ 8 cubes on base.\r\n \r\n\r\nUsing the front view\n\n\r\n$\\rArr$ Stacked cubes only along the middle row\n \r\n\r\nUsing the side view\n\n\r\n$\\rArr$ Stacked levels are 3 cubes high \ron the 2nd row\n \r\n\r\n$\\therefore$ Total cubes in the object = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"The pictures show the front, side and top views of an object made of cubes.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v5.svg 500 indent vpad\n\n<br>How many cubes are needed to make the object?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC31-SA_NAPX-G2-40_v5ws.svg 300 indent vpad\n\nUsing the top view\n\n\r\n$\\rArr$ 7 cubes on base.\r\n \r\n\r\nUsing the front view\n\n\r\n$\\rArr$ Stacked cubes are only along the first row.\n \r\n\r\nUsing the right side view\n\n\r\n$\\rArr$ Stacked levels are 2 cubes high \ron the first row and 3 cubes high on the middle row.\n \r\n\r\n$\\therefore$ Total cubes in the object = {{{correctAnswer0}}}\n"}]}]

Geometry, NAPX-G4-NC17 - 4a61bf07-dce5-4810-af3d-da5a835097f8 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of the following nets cannot be folded to make a cube?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of the following nets cannot be folded to make a cube?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of the following nets cannot be folded to make a cube?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of the following nets cannot be folded to make a cube?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of the following nets cannot be folded to make a cube?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Which of the following nets cannot be folded to make a cube?"},{"varval":"{{{correctAnswer}}}\n"}]}]

Geometry, NAPX-G3-NC25 SA, NAPX-G2-37 - 10e7f625-4441-484a-a232-d8e1a582d155 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A sculpture is cut into 3 objects, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC25-1-1.svg 400 indent2 vpad\n\n<br>What is the total number of faces of the three pieces after the sculpture is cut, including the bases?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total faces|= 10 + (2 $\\times$ 6)|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A sculpture is cut into 3 objects, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v1.svg 460 indent2 vpad\n\n<br>What is the total number of faces of the three pieces after the sculpture is cut, including the bases?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total faces|= 14 + (2 $\\times$ 6)|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A sculpture is cut into 3 objects, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v2.svg 500 indent2 vpad\n\n<br>What is the total number of faces of the three pieces after the sculpture is cut, including the bases?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total faces|= 11 + (2 $\\times$ 8)|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A sculpture is cut into 3 objects, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v3.svg 440 indent vpad\n\n<br>What is the total number of faces of the three pieces after the sculpture is cut, including the bases?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total faces|= 10 + (2 $\\times$ 8)|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A sculpture is cut into 3 objects, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v4.svg 530 indent vpad\n\n<br>What is the total number of faces of the three pieces after the sculpture is cut, including the bases?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total faces|= 18 + (2 $\\times$ 10)|\n||= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"A sculpture is cut into 3 objects, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC25-SA_NAPX-G2-37_v5.svg 450 indent2 vpad\n\n<br>What is the total number of faces of the three pieces after the sculpture is cut, including the bases?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Total faces|= 8 + (2 $\\times$ 14)|\n||= {{{correctAnswer0}}}|\n\n</div>"}]}]

Geometry, NAPX-E3-CA19 - 4a428880-66a1-4b50-8f19-627d895abf35 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Igor drew a shape with more than four lines of symmetry.\n\n\r\n\r\nWhich of these could be Igor's shape?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-E3-CA19-Answer.svg 200 indent3 vpad\n\nThe regular hexagon has 6 lines of symmetry.\n"}]},{"vars":[{"varval":"Bethany drew a shape with more than four lines of symmetry.\n\n\r\n\r\nWhich of these could be Bethany's shape?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E3-CA19_v1ws.svg 200 indent3 vpad\n\nThe regular pentagon has 5 lines of symmetry.\n"}]},{"vars":[{"varval":"Ivy drew a shape with exactly four lines of symmetry.\n\n\r\n\r\nWhich of these could **NOT** be Ivy's shape?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E3-CA19_v2ws.svg 200 indent3 vpad\n\nThe rhombus has 2 lines of symmetry.\n"}]},{"vars":[{"varval":"Optimus drew a shape with more than seven lines of symmetry.\n\n\r\n\r\nWhich of these could be Optimus's shape?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E3-CA19_v3ws.svg 200 indent3 vpad\n\nThe regular octagon has 8 lines of symmetry.\n"}]},{"vars":[{"varval":"Bron drew a shape with more than two lines of symmetry.\n\n\r\n\r\nWhich of these could be Bron's shape?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E3-CA19_v4ws.svg 200 indent3 vpad\n\nThis shape has 4 lines of symmetry.\n"}]},{"vars":[{"varval":"Col drew a shape with more than 6 lines of symmetry.\n\n\r\n\r\nWhich of these could be Col's shape?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-E3-CA19_v5ws.svg 220 indent3 vpad\n\nThe regular heptagon has 7 lines of symmetry.\n"}]}]

Geometry, NAPX-G4-NC12 - 070f4811-ee05-4d82-9e67-565687e5b2f5 - (June 28, 2021)

Var3 ... question image - points T, U and V are missing Correct file imported now

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Lance drew a trapezium $ABCD$ with 3 equal sides.\n\n\r\n\r\nHe folds it along BD.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-G4-NC12_1.svg 280 indent3 vpad\n\nAfter folding, where will point $C$ finish?"},{"varval":"Folding creates a reflection in the line of the fold.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-G4-NC12-Answer.svg 280 indent3 vpad\n\n$\\therefore$ Point $C$ finishes at point {{{correctAnswer}}}.\n"}]},{"vars":[{"varval":"Lulu drew a trapezium $ABCD$ with 3 equal sides.\n\n\r\n\r\nShe folds it along BD.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-NC12_v1.svg 350 indent3 vpad\n\nAfter folding, where will point $C$ finish?"},{"varval":"Folding creates a reflection in the line of the fold.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-NC12_v1ws.svg 350 indent3 vpad\n\n$\\therefore$ Point $C$ finishes at point {{{correctAnswer}}}.\n"}]},{"vars":[{"varval":"Lincoln drew a trapezium $ABCD$ with 3 equal sides.\n\n\r\n\r\nHe folds it along AC.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-NC12_v2.svg 350 indent3 vpad\n\nAfter folding, where will point $B$ finish?"},{"varval":"Folding creates a reflection in the line of the fold.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-NC12_v2ws.svg 350 indent3 vpad\n\n$\\therefore$ Point $B$ finishes at point {{{correctAnswer}}}.\n"}]},{"vars":[{"varval":"Lucy drew a trapezium $WXYZ$ with 3 equal sides.\n\n\r\n\r\nShe folds it along WY.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-NC12_v3q.svg 350 indent3 vpad\n\nAfter folding, where will point $Z$ finish?"},{"varval":"Folding creates a reflection in the line of the fold. Extend the fold line so that a perpendicular bisector can be drawn across it.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-NC12_v3ws.svg 350 indent3 vpad\n\n$\\therefore$ Point $Z$ finishes at point {{{correctAnswer}}}."}]}]

Geometry, NAPX-G4-CA10 - 33397125-7d1e-41e6-aa53-5b928f7a0d52 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Renee is shading squares in a grid. \n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v1aws.svg 220 indent3 vpad\n\n<br>Renee needs to shade some extra squares so that the dotted line is a line of symmetry.\n\n\r\n\r\nWhat is the smallest number of squares she has to shade?"},{"varval":"{{{correctAnswer}}} squares need to be shaded (see below).\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v1q.svg 200 indent vpad"}]},{"vars":[{"varval":"Rufus is shading squares in a grid.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-G4-CA10.svg 240 indent3 vpad\n\n<br>Rufus needs to shade some extra squares so that the dotted line is a line of symmetry.\n\n\r\n\r\nWhat is the smallest number of squares he has to shade?"},{"varval":"{{{correctAnswer}}} squares need to be shaded (see below).\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-G4-CA10-Answer.svg 200 indent vpad"}]},{"vars":[{"varval":"Rocky is shading squares in a grid.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v2q.svg 240 indent3 vpad\n\n<br>Rocky needs to shade some extra squares so that the dotted line is a line of symmetry.\n\n\r\n\r\nWhat is the smallest number of squares he has to shade?"},{"varval":"{{{correctAnswer}}} squares need to be shaded (see below).\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v2ws.svg 200 indent vpad"}]},{"vars":[{"varval":"Riley is shading squares in a grid.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v3q.svg 240 indent3 vpad\n\n<br>Riley needs to shade some extra squares so that the dotted line is a line of symmetry.\n\n\r\n\r\nWhat is the smallest number of squares she has to shade?"},{"varval":"{{{correctAnswer}}} squares need to be shaded (see below).\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v3ws.svg 200 indent vpad"}]},{"vars":[{"varval":"Red is shading squares in a grid.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v4q.svg 240 indent3 vpad\n\n<br>Red needs to shade some extra squares so that the dotted line is a line of symmetry.\n\n\r\n\r\nWhat is the smallest number of squares he has to shade?"},{"varval":"{{{correctAnswer}}} squares need to be shaded (see below).\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v4ws.svg 200 indent vpad"}]},{"vars":[{"varval":"Roxy is shading squares in a grid.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v5q.svg 240 indent3 vpad\n\n<br>Roxy needs to shade some extra squares so that the dotted line is a line of symmetry.\n\n\r\n\r\nWhat is the smallest number of squares she has to shade?"},{"varval":"{{{correctAnswer}}} squares need to be shaded (see below).\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G4-CA10_v5ws.svg 200 indent vpad"}]}]

Algebra, NAPX9-TLE-27 v3 - 637cbb8c-4c12-4ab1-9cdc-89accffc0728 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Kylie is drawing a 3-dimensional square pyramid on an isometric grid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX9-TLE-27-3-1.png 300 indent vpad\n\nOn which point does the 4th vertex of the pyramid's base lie?\n"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX9-TLE-27-3-2.png 300 indent vpad"}]},{"vars":[{"varval":"Kurt is drawing a 3-dimensional square pyramid on an isometric grid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v1_q.svg 230 indent vpad\n\nOn which point does the 4th vertex of the pyramid's base lie?\n"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v1_ws.svg 230 indent vpad"}]},{"vars":[{"varval":"Kate is drawing a 3-dimensional square pyramid on an isometric grid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v2q.svg 360 indent vpad\n\nOn which point does the 4th vertex of the pyramid's base lie?\n"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v2ws.svg 360 indent vpad"}]},{"vars":[{"varval":"Krinash is drawing a 3-dimensional square pyramid on an isometric grid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v3q.svg 450 indent vpad\n\nOn which point does the 4th vertex of the pyramid's base lie?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v3ws.svg 450 indent vpad"}]},{"vars":[{"varval":"Kalinda is drawing a 3-dimensional square pyramid on an isometric grid.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v4q.svg 550 indent vpad\n\nOn which point does the 4th vertex of the pyramid's base lie?"},{"varval":"{{{correctAnswer}}}\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/algebra_NAPX9-TLE-27v3-v4ws.svg 550 indent vpad"}]}]

Geometry, NAPX-H4-NC06, NAPX-H3-NC11 - 67391395-b86b-4ccf-b58b-9e5abba57225 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Wally drew the net of a rectangular prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC06.svg 200 indent vpad\n\nOne of the prism's faces is drawn incorrectly.\n\n\r\n\r\nWhich face did Wally draw incorrectly?"},{"varval":"Side {{{correctAnswer}}} is drawn incorrectly. It should be \rthe same width as side $B$."}]},{"vars":[{"varval":"Bryson drew the net of a rectangular prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC06_NAPX-H3-NC11_v5.svg 280 indent vpad\n\nOne of the prism's faces is drawn incorrectly.\n\n\r\n\r\nWhich face did Bryson draw incorrectly?"},{"varval":"Side {{{correctAnswer}}} is drawn incorrectly. The height of $C$ should be equal to the width of side $B$."}]},{"vars":[{"varval":"Gretchen drew the net of a triangular prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC06_NAPX-H3-NC11_v4.svg 300 indent vpad\n\nOne of the prism's faces is drawn incorrectly.\n\n\r\n\r\nWhich face did Gretchen draw incorrectly?"},{"varval":"Side {{{correctAnswer}}} is drawn incorrectly. The height of $B$ should be equal to the slant length of $D$."}]},{"vars":[{"varval":"Wendy drew the net of a rectangular prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC06_NAPX-H3-NC11_v3a.svg 200 indent vpad\n\nOne of the prism's faces is drawn incorrectly.\n\n\r\n\r\nWhich face did Wendy draw incorrectly?"},{"varval":"Side {{{correctAnswer}}} is drawn incorrectly. The dimensions of side $B$ should be the same as side $D$."}]},{"vars":[{"varval":"Ken drew the net of a rectangular prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC06_NAPX-H3-NC11_v2.svg 200 indent vpad\n\nOne of the prism's faces is drawn incorrectly.\n\n\r\n\r\nWhich face did draw Ken incorrectly?"},{"varval":"Side {{{correctAnswer}}} is drawn incorrectly. It should have the same dimensions as side $D$."}]},{"vars":[{"varval":"Betty drew the net of a triangular prism.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC06_NAPX-H3-NC11_v1.svg 300 indent vpad\n\nOne of the prism's faces is drawn incorrectly.\n\n\r\n\r\nWhich face did Betty draw incorrectly?"},{"varval":"Side {{{correctAnswer}}} is drawn incorrectly. The height of side $B$ should be equal to the slant length of side $A$."}]}]

Geometry, NAPX-G3-NC20 - 53c217d0-79bf-464f-a273-9199979bf5d9 - (June 28, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC20-1.svg 220 indent3 vpad\n\n<br>A flag is rotated from Position 1 to Position 2.\n\n\r\n\r\nWhich of these could describe the rotation?\n"},{"varval":"Rotation is {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC20_v1a.svg 310 indent3 vpad\n\n<br>A flag is rotated from Position 1 to Position 2.\n\n\r\n\r\nWhich of these could describe the rotation?\n"},{"varval":"Rotation is {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC20_v2.svg 270 indent3 vpad\n\n<br>A flag is rotated from Position 1 to Position 2.\n\n\r\n\r\nWhich of these could describe the rotation?\n"},{"varval":"Rotation is {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC20_v3.svg 340 indent3 vpad\n\n<br>A flag is rotated from Position 1 to Position 2.\n\n\r\n\r\nWhich of these could describe the rotation?\n"},{"varval":"Rotation is {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC20_v4.svg 380 indent vpad\n\n<br>A flag is rotated from Position 1 to Position 2.\n\n\r\n\r\nWhich of these could describe the rotation?\n"},{"varval":"Rotation is {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC20_v5a.svg 290 indent3 vpad\n\n<br>A flag is rotated from Position 1 to Position 2.\n\n\r\n\r\nWhich of these could describe the rotation?\n"},{"varval":"Rotation is {{{correctAnswer}}}\n"}]}]

deleteme - 355db5d6-d0bf-45d9-9d35-efc533820efa - (June 25, 2021)

deleteme note 9

<div class="sm_mode"> deleteme here </div>

[{"vars":null}]

Geometry, NAPX-G3-NC18 - 70e87e26-7d2e-4852-984a-175c519a186f - (June 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The rectangle below will be folded along the dashed line, $BD$.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC18.svg 200 indent vpad\n\n<br>Where will point $C$ move to?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-NC18ans.svg 200 indent vpad\n\n$\\therefore C$ moves to {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The rectangle below will be folded along the dashed line, $BD$.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC18_v1q.svg 250 indent3 vpad\n\n<br>Where will point $A$ move to?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC18_v1aws.svg 250 indent3 vpad\n\n$\\therefore A$ moves to {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The rectangle below will be folded along the dashed line, $MO$\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC18_v2.svg 210 indent3 vpad\n\n<br>Where will point $P$ move to?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Geom_NAPX-G3-NC18_v2a.svg 210 indent3 vpad\n\n$\\therefore P$ moves to {{{correctAnswer}}}\n"}]}]

Geometry, NAPX-G3-NC10 - d68f5b5e-1da5-4042-bc14-8df48e074e24 - (June 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which object is a prism?\n"},{"varval":"{{{correctAnswer}}}\n\nNote that a cylinder is not a prism because all its surfaces are not flat. \n"}]},{"vars":[{"varval":"Which object is a prism?\n"},{"varval":"{{{correctAnswer}}}\n\nNote that a cylinder is not a prism because all its surfaces are not flat. \n"}]},{"vars":[{"varval":"Which object is a pyramid?\n"},{"varval":"{{{correctAnswer}}}\n\nNote that a cone is not a pyramid because all its surfaces are not flat. \n"}]},{"vars":[{"varval":"Which object is a pyramid?\n"},{"varval":"{{{correctAnswer}}}\n\nNote that a cone is not a pyramid because all its surfaces are not flat. \n\n"}]},{"vars":[{"varval":"Which object is a pyramid?\n"},{"varval":"{{{correctAnswer}}}\n\nNote that a cone is not a pyramid because all its surfaces are not flat. \n"}]},{"vars":[{"varval":"Which object is a prism?\n"},{"varval":"{{{correctAnswer}}}\n\nNote that a cylinder is not a prism because all its surfaces are not flat. \n"}]}]

Geometry, NAPX-F4-NC06 - 304bc04c-cb66-4c67-947d-7f031d1d7a24 - (June 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which two lines below are lines of symmetry?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC06.svg 240 indent vpad\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which two lines below are lines of symmetry?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-NC06_v1.svg 200 indent vpad\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which two lines below are lines of symmetry?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-NC06_v3.svg 220 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which two lines below are lines of symmetry?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-NC06_v5.svg 220 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which two lines below are lines of symmetry?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-NC06_v4A.svg 220 indent vpad"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which two lines below are lines of symmetry?\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F4-NC06_v5-1.svg 220 indent vpad"},{"varval":"{{{correctAnswer}}}"}]}]

Geometry, NAPX9-TLC-26 v3 - 10711d79-a6a6-4c30-8973-7605e0ef0d18 - (June 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these shapes has exactly five faces?"},{"varval":"\n{{{correctAnswer}}} has five faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX9-TLC-27-2-300x282.png 130 indent3 vpad"}]},{"vars":[{"varval":"Which of these shapes has exactly six faces?"},{"varval":"\nPentagonal pyramid $\\rightarrow$ 5 triangular faces and a pentagonal base.\n{{{correctAnswer}}} has six faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX9-TLC-26v3_v1.svg 130 indent3 vpad"}]},{"vars":[{"varval":"Which of these shapes has exactly seven faces?"},{"varval":"\nHexagonal pyramid $\\rightarrow$ 6 triangular faces and a hexagonal base\n\n{{{correctAnswer}}} has seven faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX9-TLC-26v3_v2.svg 130 indent3 vpad"}]},{"vars":[{"varval":"Which of these shapes has exactly eight faces?"},{"varval":"\nHeptagonal pyramid $\\rightarrow$ 7 triangular faces and a heptagonal base\n\nA {{{correctAnswer}}} has eight faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX9-TLC-26v3_v3.svg 130 indent3 vpad"}]},{"vars":[{"varval":"Which of these shapes has exactly nine faces?"},{"varval":"\nOctagonal pyramid $\\rightarrow$ 8 triangular faces and an octagonal base\n\n{{{correctAnswer}}} has nine faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX9-TLC-26v3_v4.svg 130 indent3 vpad"}]},{"vars":[{"varval":"Which of these shapes has exactly ten faces?"},{"varval":"Octagonal prism $\\rightarrow$ 8 rectangular faces and 2 octagonal faces.\n\n{{{correctAnswer}}} has ten faces.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX9-TLC-26v3_v5.svg 250 indent3 vpad"}]}]

Geometry, NAPX-H4-NC04, NAPX-H3-NC10 - 15550c99-bf54-4ddf-975d-df9d108855ce - (June 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Some tiles are missing from this pattern of tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-H4-NC04.svg 230 indent3 vpad\n\n<br>When complete the pattern has two lines of symmetry.\n\n\r\n\r\nWhich of these could be the missing part of the pattern?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Some tiles are missing from this pattern of tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC04_H3-NC10_v1q1.svg 240 indent3 vpad\n\n<br>When complete the pattern has two lines of symmetry.\n\n\r\n\r\nWhich of these could be the missing part of the pattern?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Some tiles are missing from this pattern of tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC04_H3-NC10_v2q.svg 230 indent3 vpad\n\n<br>When complete the pattern has two lines of symmetry.\n\n\r\n\r\nWhich of these could be the missing part of the pattern?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Some tiles are missing from this pattern of tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC04_H3-NC10_v3q.svg 230 indent3 vpad\n\n<br>When complete the pattern has two lines of symmetry.\n\n\r\n\r\nWhich of these could be the missing part of the pattern?"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Some tiles are missing from this pattern of tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC04_H3-NC10_v4q.svg 230 indent3 vpad\n\n<br>When complete the pattern has two lines of symmetry.\n\n\r\n\r\nWhich of these could be the missing part of the pattern?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Some tiles are missing from this pattern of tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-H4-NC04_H3-NC10_v5q.svg 230 indent3 vpad\n\n<br>When complete the pattern has two lines of symmetry.\n\n\r\n\r\nWhich of these could be the missing part of the pattern?"},{"varval":"{{{correctAnswer}}}\n"}]}]

Geometry, NAPX-J4-CA09, NAPX-J3-CA20 - 55d0345c-e85d-4726-bc01-908f90dcc479 - (June 25, 2021)

Corrected error in solution. Added var1. Added categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-J4-CA09.svg 200 indent vpad\n\nWhich of these is the front view of this object made from cubes?​"},{"varval":"{{{correctAnswer}}}\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/NAPX-J4-CA09.svg 200 indent vpad\n\nWhich of these is the left view of this object made from cubes?​ "},{"varval":"{{{correctAnswer}}}\n"}]}]

Geometry, NAPX9-TLC-29 v2 - 1b97ef1f-58c0-4b2e-a390-0324dbab9c84 - (June 25, 2021)

<div class="sm_mode"> Lily's right mitten is pictured below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/NAPX9-TLC-29-2-1.png 100 indent3 vpad <br>Her left mitten is a mirror image of her right mitten. Which of these is Lily's left mitten? </div>

[{"vars":null}]

Geometry, NAPX-G3-CA12 - cf009241-065f-49c1-a8b7-08c9c3bb172f - (June 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which of these is **not** a net of a square pyramid?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these is **not** a net of a square pyramid?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these is **not** a net of a square pyramid?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these is **not** a net of a square pyramid?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these is **not** a net of a square pyramid?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"Which of these is **not** a net of a square pyramid?"},{"varval":"{{{correctAnswer}}}"}]}]

Geometry, NAPX-F3-CA04 - 47705ce4-5d4d-4b25-87e3-1eb1d21e1ddc - (June 25, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/02/NAPX-F3-CA04.svg 290 indent3 vpad\n\nThis diagram is the net of a\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p120861v01_v4a.svg 290 indent3 vpad\n\nThis diagram is the net of a\n"},{"varval":"Face of prism has 6 sides $\\rightarrow$ hexa\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-p120861v01_v4b.svg 290 indent3 vpad\n\nThis diagram is the net of a\n"},{"varval":"Base has 5 sides $\\rightarrow$ penta\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-G3-CA12_v1c.svg 290 indent3 vpad\n\nThis diagram is the net of a\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F3-CA04_v4.svg 290 indent3 vpad\n\nThis diagram is the net of a\n"},{"varval":"Base has 6 sides $\\rightarrow$ hexa\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-F3-CA04_v5.svg 290 indent3 vpad\n\nThis diagram is the net of a\n"},{"varval":"Prism will have 5 sides $\\rightarrow$ penta\n\n{{{correctAnswer}}}"}]}]

Geometry, NAPX-L4-CA06 v2 - 6f968b49-c33a-4a9e-8aab-3e2074faa1ba - (June 25, 2021)

Geometry, NAPX-L4-CA06 v1

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ruby draws a design by reflecting this shape across a mirror line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/nap-L4-06-ver3.svg 300 indent3 vpad\n\n<br>Which design shows the correct reflection?"}]},{"vars":[{"varval":"Ruby draws a design by reflecting this shape across a mirror line.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/09/nap-L4-06-ver2.svg 300 indent vpad\n\n<br>Which design shows the correct reflection?"}]}]

Geometry, NAPX-F3-NC06 - a407dc8e-36ee-49a0-8623-8d6b8fc818ea - (June 25, 2021)

<div class="sm_mode"> Justine painted the letter L on a paper square. She folded the paper square along the dotted line while the paint was still wet. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-NC06rev2.svg 160 indent3 vpad <br>She then unfolded the paper square. What was on the square? </div>

[{"vars":null}]

Geometry, NAPX-F3-CA02 - 2fc08f76-bbe4-4b67-8e4d-e1eae666fd2b - (June 25, 2021)

<div class="sm_mode"> A dotted line is drawn through each of the four letters shown below. Which dotted line is a line of symmetry? </div>

[{"vars":null}]

Geometry, NAPX-H3-NC01, NAPX-H2-06 - c0f3b6f4-b2d2-48c5-b44c-4ed1ac3a1b2b - (June 25, 2021)

<div class="sm_mode"> The net below is folded to form a prism. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-H3-NC01.svg 300 indent3 vpad <br>Which prism could it make? </div>

[{"vars":null}]

Geometry, NAPX-F3-NC01 - 7044266c-d8a3-4aa9-a5f0-3e4ba54115da - (June 24, 2021)

<div class="sm_mode"> Which of these nets will not fold to make a triangular prism? </div>

[{"vars":null}]

Measurement, NAPX-E4-NC31 SA - ce2ccd11-5b33-4cfe-8b13-505be498588d - (June 24, 2021)

Worked solution images need dimensions altered to look more like square bases - redone 16/8

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Shaz uses a rectangular prism pictured below as a basic building block.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-NC31-SA.svg 280 indent3 vpad\n\nShe stacks the blocks and makes a solid cube.\n\n\r\n\r\nWhat is the **smallest** number of blocks needed to make a cube?\n"},{"varval":"The smallest cube will have the smallest base:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-E4-NC31-SA_v0.svg 440 indent3 vpad\n\n<br>Base will have 15 blocks.\n\n\rCube will have 15 stacked levels.\n\nsm_nogap $\\therefore$ Blocks needed for the smallest cube\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 15 $\\times$ 15|\n|= {{{correctAnswer0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Brad uses a rectangular prism pictured below as a basic building block.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC31-SA_v1q_q.svg 250 indent3 vpad\n\nHe stacks the blocks and makes a solid cube.\n\n\r\n\r\nWhat is the **smallest** number of blocks needed to make a cube?\n"},{"varval":"The smallest cube will have the smallest base:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-E4-NC31-SA_v1.svg 380 indent3 vpad\n\n<br>Base will have 6 blocks.\n\n\rCube will have 6 stacked levels.\n\nsm_nogap $\\therefore$ Blocks needed for the smallest cube\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 6 $\\times$ 6|\n|= {{{correctAnswer0}}}|\n\n</div>"}]},{"vars":[{"varval":"Shirley uses a rectangular prism pictured below as a basic building block.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC31-SA_v2q1.svg 260 indent3 vpad\n\nShe stacks the blocks and makes a solid cube.\n\n\r\n\r\nWhat is the **smallest** number of blocks needed to make a cube?\n"},{"varval":"The smallest cube will have the smallest base:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-E4-NC31-SA_v2.svg 370 indent3 vpad\n\n<br>Base will have 10 blocks.\n\n\rCube will have 10 stacked levels.\n\nsm_nogap $\\therefore$ Blocks needed for the smallest cube\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 10 $\\times$ 10|\n|= {{{correctAnswer0}}}|\n\n</div>\n"}]}]

Measurement, NAPX-F4-CA32 SA - aebca96b-b270-4f44-80d6-e3a689067e0c - (June 24, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"An ancient civilisation created the following pattern in a large square field.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA32-SA.svg 300 indent3 vpad\n\n<br>What is the size of the shaded area in the pattern?"},{"varval":"sm_nogap Total area of the largest square\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 80 $\\times$ 80|\n|= 6400 m$^2$|\n\n</div>\n\r\n\r<br>\n \r\n\r\nArea of next smallest square\r = 3200 m$^2$\n\nArea of next smallest square = 1600 m$^2$\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Shaded area|= $\\dfrac{3}{4}\\times$ 1600|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"An ancient civilisation created the following pattern in a large square field.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/aebca96b-b270-4f44-80d6-e3a689067e0cv0_V3.svg 360 indent3 vpad\n\n<br>What is the size of the shaded area in the pattern?"},{"varval":"sm_nogap Total area of the largest square\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 120 $\\times$ 120|\n|= 14 400 m$^2$|\n\n</div>\n\r\n\r<br>\n \r\n\r\nArea of next smallest square\r = 7200 m$^2$\n\nArea of next smallest square = 3600 m$^2$\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Shaded area|= $\\dfrac{1}{4}\\times$ 7200 + $\\dfrac{1}{2}\\times$ 3600|\n||= 1800 + 1800|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"An ancient civilisation created the following pattern in a large square field.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/aebca96b-b270-4f44-80d6-e3a689067e0cv0_V1.svg 400 indent3 vpad\n\n<br>What is the size of the shaded area in the pattern?"},{"varval":"sm_nogap Total area of the largest square\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 80 $\\times$ 80|\n|= 6400 m$^2$|\n\n</div>\n\r\n\r<br>\n \r\n\r\nArea of next smallest square\r = 3200 m$^2$\n\nArea of next smallest square = 1600 m$^2$\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Shaded area|= $\\dfrac{1}{2}\\times$ 3200 + $\\dfrac{1}{4}\\times$ 1600|\n||= 1600 + 400|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"An ancient civilisation created the pattern below on a large mural.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/aebca96b-b270-4f44-80d6-e3a689067e0cv0_V1-1.svg 400 indent3 vpad\n\n<br>What is the size of the shaded area in the pattern?"},{"varval":"sm_nogap Total area of the largest square\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 120 $\\times$ 120|\n|= 14 400 m$^2$|\n\n</div>\n\r\n\r<br>\n \r\n\r\nArea of next smallest square\r = 7200 m$^2$\n\nArea of next smallest square = 3600 m$^2$\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Shaded area|= $\\dfrac{1}{2}\\times$ 14 400 + $\\dfrac{3}{4}\\times$ 3600|\n||= 7200 + 2700|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A gardener was paving a large courtyard and created the following pattern.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/aebca96b-b270-4f44-80d6-e3a689067e0cv0_V5.svg 400 indent3 vpad\n\n<br>What is the size of the shaded area in the pattern?"},{"varval":"sm_nogap Total area of the largest square\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 40 $\\times$ 40|\n|= 1600 m$^2$|\n\n</div>\n\r\n\r<br>\n \r\n\r\nArea of next smallest square\r = 800 m$^2$\n\nArea of next smallest square = 400 m$^2$\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Shaded area|= $\\dfrac{1}{4}\\times$ 1600 + $\\dfrac{1}{2}\\times$ 800 + + $\\dfrac{1}{4}\\times$ 400|\n||= 400 + 400 + 100|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A gardener was paving a large courtyard and created the following pattern.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/aebca96b-b270-4f44-80d6-e3a689067e0cv0_V1-1.svg 400 indent3 vpad\n\n<br>What is the size of the shaded area in the pattern?"},{"varval":"sm_nogap Total area of the largest square\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 120 $\\times$ 120|\n|= 14 400 m$^2$|\n\n</div>\n\r\n\r<br>\n \r\n\r\nArea of next smallest square\r = 7200 m$^2$\n\nArea of next smallest square = 3600 m$^2$\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Shaded area|= $\\dfrac{1}{2}\\times$ 14 400 + $\\dfrac{3}{4}\\times$ 3600|\n||= 7200 + 2700|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-E4-CA32 SA - 3e18fb2f-375b-4f72-943e-ae2534eab855 - (June 24, 2021)

<div class="sm_mode"> Two views of a trapezoidal prism are shown below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-CA32i.svg 400 indent3 vpad <br>Each square on this grid has an area of one square centimetre. The vertical edges of the prism are 5 centimetres. What is the volume of the prism in cubic centimetres? </div>

[{"vars":null}]

Measurement, NAPX-H4-CA32 SA - b691a764-b139-40b0-aa0b-0d0c6cc7c4d5 - (June 24, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Mickey cuts a quarter circle out of a full circle, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA32.svg 200 indent vpad\n\n<br>If the circle's radius is 7 cm, what is the perimeter of the shape, to the nearest centimetre?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= arc + 2 × radii|\n||= $\\bigg( \\dfrac{3}{4} \\times 2 \\times \\large \\pi$ $\\times\\ \\large r$ $\\bigg) + 2\\large r$|\n||= $\\bigg(\\dfrac{3}{4} \\times 2 \\times \\large \\pi$ $\\times\\ 7 \\bigg) + 2 \\times 7$|\n||= 46.986...|\n||= {{{correctAnswer0}}} {{{suffix0}}} (nearest cm)|\n\n</div>\n"}]},{"vars":[{"varval":"Vinnie cuts away two-thirds of a circle, leaving the shape shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_J-NAPX-H4-CA32-SA_1.svg 200 indent vpad\n\n<br>If the circles' radius is 10 cm, what is the perimeter of the remaining shape, to the nearest centimetre?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= arc + 2 × radii|\n||= $\\bigg( \\dfrac{1}{3} \\times 2 \\times \\large \\pi$ $\\times\\ \\large r$ $\\bigg) + 2\\large r$|\n||= $\\bigg(\\dfrac{1}{3} \\times 2 \\times \\large \\pi$ $\\times\\ 10 \\bigg) + 2 \\times 10$|\n||= 40.9439...|\n||= {{{correctAnswer0}}} {{{suffix0}}} (nearest cm)|\n\n</div>\n"}]},{"vars":[{"varval":"Milo cuts away one third of a circle, leaving the shape shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_J-NAPX-H4-CA32-SA_2.svg 300 indent vpad\n\n<br>If the circle's radius is 5 cm, what is the perimeter of the remaining shape, to the nearest centimetre?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= arc + 2 × radii|\n||= $\\bigg( \\dfrac{2}{3} \\times 2 \\times \\large \\pi$ $\\times\\ \\large r$ $\\bigg) + 2\\large r$|\n||= $\\bigg(\\dfrac{2}{3} \\times 2 \\times \\large \\pi$ $\\times\\ 5 \\bigg) + 2 \\times 5$|\n||= 30.94...|\n||= {{{correctAnswer0}}} {{{suffix0}}} (nearest cm)|\n\n</div>\n"}]},{"vars":[{"varval":"Morris cuts a sector measuring 30 degrees from a full circle, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_J-NAPX-H4-CA32-SA_3.svg 240 indent vpad\n\n<br>If the circle's radius is 20 cm, what is the perimeter of the shape, to the nearest centimetre?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= arc + 2 × radii|\n||= $\\bigg( \\dfrac{30}{360} \\times 2 \\times \\large \\pi$ $\\times\\ \\large r$ $\\bigg) + 2\\large r$|\n||= $\\bigg(\\dfrac{1}{12} \\times 2 \\times \\large \\pi$ $\\times\\ 20 \\bigg) + 2 \\times 20$|\n||= 50.471...|\n||= {{{correctAnswer0}}} {{{suffix0}}} (nearest cm)|\n\n</div>\n"}]},{"vars":[{"varval":"Morris cuts a sector measuring 60 degrees from a full circle, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_J-NAPX-H4-CA32-SA_5.svg 210 indent vpad\n\n<br>If the circle's radius is 36 cm, what is the perimeter of the shape, to the nearest centimetre?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= arc + 2 × radii|\n||= $\\bigg( \\dfrac{60}{360} \\times 2 \\times \\large \\pi$ $\\times\\ \\large r$ $\\bigg) + 2\\large r$|\n||= $\\bigg(\\dfrac{1}{6} \\times 2 \\times \\large \\pi$ $\\times\\ 36 \\bigg) + 2 \\times 36$|\n||= 109.699...|\n||= {{{correctAnswer0}}} {{{suffix0}}} (nearest cm)|\n\n</div>\n"}]},{"vars":[{"varval":"Monica cuts a right-angled sector from a full circle, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_J-NAPX-H4-CA32-SA_4.svg 170 indent vpad\n\n<br>If the circle's radius is 25 cm, what is the perimeter of the shape, to the nearest centimetre?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Perimeter|= arc + 2 × radii|\n||= $\\bigg( \\dfrac{1}{4} \\times 2 \\times \\large \\pi$ $\\times\\ \\large r$ $\\bigg) + 2\\large r$|\n||= $\\bigg(\\dfrac{1}{4} \\times 2 \\times \\large \\pi$ $\\times\\ 25 \\bigg) + 2 \\times 25$|\n||= 89.2699...|\n||= {{{correctAnswer0}}} {{{suffix0}}} (nearest cm)|\n\n</div>\n"}]}]

Measurement, NAPX-J4-CA39 SA - 22430dd7-3525-4b9a-863c-dbfdffb348d8 - (June 24, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nA rectangular prism is made by stacking 6 identical triangular prisms, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA39.svg 320 indent3 vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"sm_nogap Volume of rectangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 42 × 48 × 82|\n|= 165 312 cm$^3$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Volume of 1 triangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 165 312 ÷ 6|\n|= 27 552 {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"\nA rectangular prism is made by stacking 8 identical triangular prisms, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_J-NAPX-J4-CA39-SA_1.svg 400 indent vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"sm_nogap Volume of rectangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 18 × 24 × 44|\n|= 19 008 cm$^3$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Volume of 1 triangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 19 008 ÷ 8|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular prism is made by stacking 12 identical triangular prisms, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement^J-NAPX-J4-CA39-SA_2.svg 400 indent vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"sm_nogap Volume of rectangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 84 × 62 × 123|\n|= 640 584 cm$^3$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Volume of 1 triangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 640 584 ÷ 12|\n|= 53 382 {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular prism is made by stacking 6 identical triangular prisms, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement^J-NAPX-J4-CA39-SA_3.svg 450 indent vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"sm_nogap Volume of rectangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 264 × 125 × 85|\n|= 2 805 000 cm$^3$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Volume of 1 triangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 2 805 000 ÷ 6|\n|= 467 500 {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular prism is made by stacking 8 identical triangular prisms, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement^J-NAPX-J4-CA39-SA_4.svg 440 indent3 vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"sm_nogap Volume of rectangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 80 × 35 × 64|\n|= 179 200 cm$^3$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Volume of 1 triangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 179 200 ÷ 8|\n|= 22 400 {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A rectangular prism is made by stacking 10 identical triangular prisms, as pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement^J-NAPX-J4-CA39-SA_5.svg 370 indent3 vpad\n\n<br>What is the volume of one triangular prism, to the nearest **cubic millimetre**?"},{"varval":"sm_nogap Volume of rectangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 118 × 102 × 188|\n|= 2 262 768 mm$^3$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Volume of 1 triangular prism\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 2 262 768 ÷ 10|\n|= 226 277 {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-F4-NC31 SA, NAPX-F3-NC32 SA - 229a353b-d1d4-4f9b-b75b-4d8cfd24fc34 - (June 24, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A farmer uses an existing stone wall and fencing to create a large grazing paddock for his sheep, as shown in the diagram below.\n\r\nThe fencing has 3-strand wiring which is also shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC31.svg 540 indent vpad\n\n<br>How many kilometres of wire will be required?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Wire needed|= 3 × (250 + 700 + 550 + 400 + 800)|\n||= 3 × 2700|\n||= 8100 m|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A farmer uses the river bordering his property and fencing to create a large grazing paddock for his horses, as shown in the diagram below.\n\r\nThe fencing has 4-strand wiring which is also shown below.\n\n\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v1b.svg 600 indent vpad\n\n<br>Given that fencing is not required on the river boundary, how many kilometres of wire will be required?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Wire needed|= 4 × (700 + 200 + 300 + 1100 + 200 + 200 + 1200)|\n||= 4 × 3900|\n||= 15 600 m|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A farmer is planning to build a holding pen for his cows. He will use an existing barn as one border and complete the remaining borders using wire fencing as shown in the diagram below.\n\r\nThe fencing has 4-strand wiring which is also shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v2b.svg 780 indent vpad\n\nGiven that fencing is not required on the barn boundary, how many kilometres of wire will be required?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Wire needed|= 4 × (170 + 25 + 60 + 100 + 60 + 40 + 130 + 80)|\n||= 4 × 665|\n||= 2660 m|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Kai uses an existing sandstone wall and fencing to create a boundary for a community herb garden as shown in the diagram below.\n\r\nThe fencing has 3-strand wiring which is also shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v3.svg 550 indent vpad\n\n<br>How many metres of wire will be required?\n"},{"varval":"Using 1 m = 100 cm\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Wire needed|= 3 × (360 + 70 + 190 + 180 + 190 + 50 + 360)|\n||= 3 × 1400|\n||= 4200 cm|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Brenda uses an existing brick wall and fencing to create a boundary for her small market garden as shown in the diagram below.\n\r\nThe fencing has 3-strand wiring which is also shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC31-SA-NAPX-F3-NC32-SA_v4.svg 590 indent vpad\n\n<br>How many metres of wire will be required?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Wire needed|= 3 × (2 × 8 + 4 × 5 + 2.2 + 2.7 + 2.1 + 2.6 + 2.3)|\n||= 3 × 47.9|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-E4-NC29 SA - 3a3f561f-fa9e-43a3-b4f9-392c0dcc4db2 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The octagon below is divided into identical squares and identical triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/NAP-E4-NC29-150x150.png 160 indent3 vpad\n\n<br>The area of the octagon is a multiple of the area of one of the squares.\n\n\r\n\r\nThe area of the octagon is 112 cm$^2$.\n\n\r\n\r\nWhat is the side length of each square?"},{"varval":"sm_nogap Area of octagon in squares\n\n\r\n>> = 7 squares\n\nsm_nogap Area of 1 square\n\n\r\n>> = 112 ÷ 7\n\n\r\n>> = 16 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Side length of each square\r\n\n>>= $\\sqrt{16}$\r\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The octagon below is divided into identical squares and identical triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC29-SA_v1.svg 180 indent3 vpad\n\n<br>The area of the octagon is a multiple of the area of one of the squares.\n\n\r\n\r\nThe area of the octagon is 360 cm$^2$.\n\n\r\n\r\nWhat is the side length of each square?"},{"varval":"sm_nogap Area of octagon in squares\n\n\r\n>> = 10 squares\n\nsm_nogap Area of 1 square\n\n\r\n>> = 360 ÷ 10\n\n\r\n>> = 36 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Side length of each square\n\r\n\n>>= $\\sqrt{36}$\r\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The octagon below is divided into identical squares and identical triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC29-SA_v2.svg 180 indent3 vpad\n\n<br>The area of the octagon is a multiple of the area of one of the squares.\n\n\r\n\r\nThe area of the octagon is 686 cm$^2$.\n\n\r\n\r\nWhat is the side length of each square?"},{"varval":"sm_nogap Area of octagon in squares\n\n\r\n>> = 14 squares\n\nsm_nogap Area of 1 square\n\n\r\n>> = 686 ÷ 14\n\n\r\n>> = 49 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Side length of each square\n\r\n\n>>= $\\sqrt{49}$\r\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The octagon below is divided into identical squares and identical triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC29-SA_v3.svg 270 indent3 vpad\n\n<br>The area of the octagon is a multiple of the area of one of the squares.\n\n\r\n\r\nThe area of the octagon is 450 cm$^2$.\n\n\r\n\r\nWhat is the side length of each square?"},{"varval":"sm_nogap Area of octagon in squares\n\n\r\n>> = 18 squares\n\nsm_nogap Area of 1 square\n\n\r\n>> = 450 ÷ 18\n\n\r\n>> = 25 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Side length of each square\n\r\n\n>>= $\\sqrt{25}$\r\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The octagon below is divided into identical squares and identical triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC29-SA_v4.svg 300 indent3 vpad\n\n<br>The area of the octagon is a multiple of the area of one of the squares.\n\nThe area of the octagon is 1782 cm$^2$.\n\nWhat is the side length of each square?"},{"varval":"sm_nogap Area of octagon in squares\n\n\r\n>> = 22 squares\n\nsm_nogap Area of 1 square\n\n\r\n>> = 1782 ÷ 22\n\n\r\n>> = 81 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Side length of each square\n\r\n\n>>= $\\sqrt{81}$\r\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The octagon below is divided into identical squares and identical triangles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-NC29-SA_v5.svg 300 indent3 vpad\n\n<br>The area of the octagon is a multiple of the area of one of the squares.\n\nThe area of the octagon is 1792 cm$^2$.\n\nWhat is the side length of each square?"},{"varval":"sm_nogap Area of octagon in squares\n\n\r\n>> = 28 squares\n\nsm_nogap Area of 1 square\n\n\r\n>> = 1792 ÷ 28\n\n\r\n>> = 64 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Side length of each square\n\r\n\n>>= $\\sqrt{64}$\r\n\n>>= {{{correctAnswer0}}} {{{suffix0}}}"}]}]

Measurement, NAPX-G4-CA31 SA - 1d220eb9-f544-4e00-bd5e-1ae46b2169da - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Lux is a carpenter. He cuts a block of wood in the shape of a rectangular prism along the cut line shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-G4-CA31-SA.svg 350 indent vpad\n\n<br>Lux keeps the larger piece of wood which is in the shape of a trapezoidal prism.\n\nWhat is the volume of the larger piece of wood in cubic metres?\n\nGive your answer to 2 decimal places."},{"varval":"sm_nogap Area of trapezoid (face)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2}\\large h$($\\large a$ + $\\large b)$|\n|= $\\dfrac{1}{2}$ × 0.7 × (0.4 + 0.76)|\n|= 0.406 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume\t|= $A\\large h$|\n||= 0.406 × 0.8|\n||= 0.3248|\n||= {{{correctAnswer0}}} {{{suffix0}}} (to 2 d.p.)|\n\n</div>"}]},{"vars":[{"varval":"Manny is a carpenter. He cuts a block of wood in the shape of a rectangular prism along the cut line shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA31-SA_1.svg 500 indent vpad\n\n<br>Manny keeps the larger piece of wood which is in the shape of a trapezoidal prism.\n\nWhat is the volume of the larger piece of wood in cubic metres?\n\nGive your answer to 2 decimal places."},{"varval":"sm_nogap Area of trapezoid (face)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2}\\large h$($\\large a$ + $\\large b)$|\n|= $\\dfrac{1}{2}$ × 1.5 × (0.6 + 0.72)|\n|= 0.99 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume\t|= $A\\large h$|\n||= 0.99 × 0.5|\n||= 0.495|\n||= {{{correctAnswer0}}} {{{suffix0}}} (to 2 d.p.)|\n\n</div>"}]},{"vars":[{"varval":"Bree is a carpenter. She cuts a block of wood in the shape of a rectangular prism along the cut line shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA31-SA_2.svg 550 indent vpad\n\n<br>Bree keeps the larger piece of wood which is in the shape of a trapezoidal prism.\n\nWhat is the volume of the larger piece of wood in cubic metres?\n\nGive your answer to 2 decimal places."},{"varval":"sm_nogap Area of trapezoid (face)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2}\\large h$($\\large a$ + $\\large b)$|\n|= $\\dfrac{1}{2}$ × 0.4 × (0.12 + 0.17)|\n|= 0.058 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume\t|= $A\\large h$|\n||= 0.058 × 0.5|\n||= 0.029|\n||= {{{correctAnswer0}}} {{{suffix0}}} (to 2 d.p.)|\n\n</div>"}]},{"vars":[{"varval":"Carrie is a carpenter. She cuts a block of wood in the shape of a rectangular prism along the cut line shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA31-SA_3.svg 550 indent vpad\n\n<br>Carrie keeps the larger piece of wood which is in the shape of a trapezoidal prism.\n\nWhat is the volume of the larger piece of wood in cubic metres?\n\nGive your answer to 2 decimal places."},{"varval":"sm_nogap Area of trapezoid (face)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2}\\large h$($\\large a$ + $\\large b)$|\n|= $\\dfrac{1}{2}$ × 0.35 × (0.175 + 0.19)|\n|= 0.063875 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume\t|= $A\\large h$|\n||= 0.063875 × 0.4|\n||= 0.02555|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Blaze is a carpenter. He cuts a block of wood in the shape of a rectangular prism along the cut line shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA31-SA_4.svg 500 indent vpad\n\n<br>Blaze keeps the larger piece of wood which is in the shape of a trapezoidal prism.\n\nWhat is the volume of the larger piece of wood in cubic metres?\n\nGive your answer to 2 decimal places."},{"varval":"sm_nogap Area of **larger** trapezoid (face)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2}\\large h$($\\large a$ + $\\large b)$|\n|= $\\dfrac{1}{2}$ × 0.5 × (0.15 + 0.5)|\n|= 0.1625 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume\t|= $A\\large h$|\n||= 0.1625 × 0.55|\n||=0.089375|\n||= {{{correctAnswer0}}} {{{suffix0}}} (to 2 d.p.)|\n\n</div>"}]},{"vars":[{"varval":"Olive is a carpenter. She cuts a block of wood in the shape of a rectangular prism along the cut line shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA31-SA_5.svg 550 indent vpad\n\n<br>Olive keeps the larger piece of wood which is in the shape of a trapezoidal prism.\n\nWhat is the volume of the larger piece of wood in cubic metres?"},{"varval":"sm_nogap Area of **larger** trapezoid (face)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2}\\large h$($\\large a$ + $\\large b)$|\n|= $\\dfrac{1}{2}$ × 0.8 × (0.6 + 1.4)|\n|= 0.8 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume\t|= $A\\large h$|\n||= 0.8 × 0.5|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-I4-CA30 SA - 5cc18d84-7989-4903-9719-9fe5510bf6d6 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A box in the shape of a triangular prism is used to store smaller triangular prism pieces as shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA30.svg 370 indent vpad\n\nEach smaller triangular prism is 78 cm³ in size.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA301.svg 260 indent vpad\n\nWhat is the maximum number of smaller triangular prisms that can fit inside the box?\n"},{"varval":"The dimensions of the smaller triangular prism fit.\n\n\r\nFind the smaller triangular prism's width ($\\large w$):\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$A \\times \\large w$|= 78|\n|$\\dfrac{1}{2} \\times 8.8 \\times 12 \\times \\large w$|= 78|\n|$\\large w$|= $\\dfrac{78}{52.8}$|\n||= 1.477... cm|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Maximum triangular prisms that fit\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{40}{1.477...}$|\n|= 27.07...|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"A box in the shape of a triangular prism is used to store smaller triangular prism pieces as shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_0_a.svg 500 indent vpad\n\nEach smaller triangular prism is 95 cm³ in size.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_0_b.svg 320 indent vpad\n\nWhat is the maximum number of smaller triangular prisms that can fit inside the box?\n"},{"varval":"The dimensions of the smaller triangular prism fit into the larger one.\n\n\r\nFind the smaller triangular prism's width ($\\large w$):\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$A \\times \\large w$|= 95|\n|$\\dfrac{1}{2} \\times 9.8 \\times 15 \\times \\large w$|= 95|\n|$\\large w$|= $\\dfrac{95}{73.5}$|\n||= 1.292... cm|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Maximum triangular prisms that fit\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{60}{1.2925...}$|\n|= 46.42...|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A box in the shape of a triangular prism is used to store smaller triangular prism pieces as shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_2_a-2.svg 480 indent vpad\n\nEach smaller triangular prism is 80 cm³ in size.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_2_b.svg 300 indent vpad\n\nWhat is the maximum number of smaller triangular prisms that can fit inside the box?\n"},{"varval":"The dimensions of the smaller triangular prism fit into the larger one.\n\n\r\nFind the smaller triangular prism's width ($\\large w$):\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$A \\times \\large w$|= 80|\n|$\\dfrac{1}{2} \\times 6.2 \\times 8 \\times \\large w$|= 80|\n|$\\large w$|= $\\dfrac{80}{24.8}$|\n||= 3.225... cm|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Maximum triangular prisms that fit\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{60}{3.2258...}$|\n|= 18.6|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A box in the shape of a triangular prism is used to store smaller triangular prism pieces as shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_3_c.svg 480 indent vpad\n\nEach smaller triangular prism is 200 cm³ in size.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_3_b.svg 300 indent vpad\n\nWhat is the maximum number of smaller triangular prisms that can fit inside the box?\n"},{"varval":"The dimensions of the smaller triangular prism fit into the larger one.\n\n\r\nFind the smaller triangular prism's width ($\\large w$):\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$A \\times \\large w$|= 200|\n|$\\dfrac{1}{2} \\times 18 \\times 11 \\times \\large w$|= 200|\n|$\\large w$|= $\\dfrac{200}{99}$|\n||= 2.02... cm|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Maximum triangular prisms that fit\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{100}{2.02...}$|\n|= 49.5...|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n\n"}]},{"vars":[{"varval":"A box in the shape of a triangular prism is used to store smaller triangular prism pieces as shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_4_c.svg 480 indent vpad\n\nEach smaller triangular prism is 330 cm³ in size.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_4_b.svg 300 indent vpad\n\nWhat is the maximum number of smaller triangular prisms that can fit inside the box?\n"},{"varval":"The dimensions of the smaller triangular prism fit into the larger one.\n\n\r\nFind the smaller triangular prism's width ($\\large w$):\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$A \\times \\large w$|= 330|\n|$\\dfrac{1}{2} \\times 10.8 \\times 12 \\times \\large w$|= 330|\n|$\\large w$|= $\\dfrac{330}{64.8}$|\n||= 5.09... cm|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Maximum triangular prisms that fit\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{50}{5.09...}$|\n|= 9.8181...|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"A box in the shape of a triangular prism is used to store smaller triangular prism pieces as shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_5_a.svg 480 indent vpad\n\nEach smaller triangular prism is 660 cm³ in size.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-–-NAPX-I4-CA30-SA_5_b.svg 300 indent vpad\n\nWhat is the maximum number of smaller triangular prisms that can fit inside the box?\n"},{"varval":"The dimensions of the smaller triangular prism fit into the larger one.\n\n\r\nFind the smaller triangular prism's width ($\\large w$):\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$A \\times \\large w$|= 660|\n|$\\dfrac{1}{2} \\times 15 \\times 20 \\times \\large w$|= 660|\n|$\\large w$|= $\\dfrac{660}{150}$|\n||= 4.4 cm|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Maximum triangular prisms that fit\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{80}{4.4}$|\n|= 18.1818...|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]}]

Measurement, NAPX9-TLF-CA37 SA v3 - 84e7ef3e-0083-4c12-bac1-4086b8f4ff41 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A cube has a surface area of 150 square centimetres.\n\n\r\n\r\nWhat is the volume of the cube?"},{"varval":"sm_nogap Cube has 6 faces.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 face|= 150 ÷ 6|\n||= 25 cm$^2$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Side length|= $\\sqrt{25}$|\n||= 5 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Volume|= $5^3$|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A cube has a surface area of 294 square centimetres.\n\n\r\n\r\nWhat is the volume of the cube?"},{"varval":"sm_nogap Cube has 6 faces.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 face|= 294 ÷ 6|\n||= 49 cm$^2$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Side length|= $\\sqrt{49}$|\n||= 7 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Volume|= $7^3$|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A cube has a surface area of 600 square centimetres.\n\n\r\n\r\nWhat is the volume of the cube?"},{"varval":"sm_nogap Cube has 6 faces.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 face|= 600 ÷ 6|\n||= 100 cm$^2$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Side length|= $\\sqrt{100}$|\n||= 10 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Volume|= $10^3$|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A cube has a surface area of 384 square centimetres.\n\n\r\n\r\nWhat is the volume of the cube?"},{"varval":"sm_nogap Cube has 6 faces.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 face|= 384 ÷ 6|\n||= 64 cm$^2$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Side length|= $\\sqrt{64}$|\n||= 8 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Volume|= $8^3$|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A cube has a surface area of 96 square centimetres.\n\n\r\n\r\nWhat is the volume of the cube?"},{"varval":"sm_nogap Cube has 6 faces.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 face|= 96 ÷ 6|\n||= 16 cm$^2$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Side length|= $\\sqrt{16}$|\n||= 4 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Volume|= $4^3$|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A cube has a surface area of 54 square centimetres.\n\n\r\n\r\nWhat is the volume of the cube?"},{"varval":"sm_nogap Cube has 6 faces.\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 face|= 54 ÷ 6|\n||= 9 cm$^2$|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Side length|= $\\sqrt{9}$|\n||= 3 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Volume|= $3^3$|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-I4-CA29 SA - 479a584d-3b12-4544-b7e4-ac50c18ecf88 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nAn archery target has the following dimensions.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA29.svg 420 indent3 vpad\n\n<br>What is the area of the entire target?\n\nUse $\\large \\pi$ = 3.14 and round your answer to the nearest square centimetre."},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\large \\pi r$$^2$|\n||= $\\large \\pi$ $\\times\\ (4 + 3.5 \\times 4)^2$|\n||= 3.14 $\\times\\ 18^2$|\n||= 1017.36...|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"\nA small plate has the following dimensions.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-I4-CA29-SA_1nts.svg 500 indent1 vpad\n\n<br>What is the area of the entire plate?\n\nUse $\\large \\pi$ = 3.14 and round your answer to the nearest square centimetre."},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\large \\pi r$$^2$|\n||= $\\large \\pi$ $\\times\\ (3.5 + 3 + 4 + 5)^2$|\n||= 3.14 $\\times\\ 15.5^2$|\n||= 754.385|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"The base of a cat basket has the following dimensions.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-I4-CA29-SA_2nts.svg 500 indent1 vpad\n\n<br>What is the area of the entire base?\n\nUse $\\large \\pi$ = 3.14 and round your answer to the nearest square centimetre."},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\large \\pi r$$^2$|\n||= $\\large \\pi$ $\\times\\ (10 + 8 \\times 4)^2$|\n||= 3.14 $\\times\\ 42^2$|\n||= 5538.96|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A placemat has the following dimensions.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-I4-CA29-SA_3nts.svg 500 indent1 vpad\n\n<br>What is the area of the entire placemat?\n\nUse $\\large \\pi$ = 3.14 and round your answer to the nearest square centimetre."},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\large \\pi r$$^2$|\n||= $\\large \\pi$ $\\times\\ (7.5 + 6.5 \\times 4)^2$|\n||= 3.14 $\\times\\ 33.5^2$|\n||= 3523.865|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A large circular sheet has the following dimensions.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-I4-CA29-SA_4nts.svg 500 indent1 vpad\n\n<br>What is the area of the entire sheet?\n\nUse $\\large \\pi$ = 3.14 and round your answer to the nearest square metre."},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\large \\pi r$$^2$|\n||= $\\large \\pi$ $\\times\\ (0.75 + 0.8 \\times 4)^2$|\n||= 3.14 $\\times\\ 3.95^2$|\n||= 48.99185|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A baby's play mat has the following dimensions.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-I4-CA29-SA_5nts.svg 500 indent1 vpad\n\n<br>What is the area of the entire play mat?\n\nUse $\\large \\pi$ = 3.14 and round your answer to the nearest tenth of a square metre."},{"varval":"Radius of inner circle = 25 cm = 0.25 m\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= $\\large \\pi r$$^2$|\n||= $\\large \\pi$ $\\times\\ (0.25 + 0.2 \\times 4)^2$|\n||= 3.14 $\\times\\ 1.05^2$|\n||= 3.46185|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-G4-NC28 SA - 7d2bbbce-add3-4cf8-af4d-0bc1b49f1b98 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The edges of a $\\ 4 × 4×4$ cube are formed using blocks as shown below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2016/12/NAP-G4-NC281-259x300.png 200 indent3 vpad\n\n<br>In total, 32 blocks are used.\n\n\r\n\r\nHow many blocks would be needed to make the edges of a $\\ 6 × 6 × 6$ cube in the same way?\n"},{"varval":"Blocks in top layer = 20\n\n\r\nBlocks in bottom layer = 20\n\n\r\nOther blocks (pillars) = 4 × 4 = 16\n\n\r\n$\\therefore$ Total blocks = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The edges of a $\\ 3 × 3 × 3$ cube are formed using blocks as shown below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-NC28-SA_1.svg 200 indent3 vpad\n\n<br>In total, 20 blocks are used.\n\n\r\n\r\nHow many blocks would be needed to make the edges of a $\\ 4 × 4 × 4$ cube in the same way?\n"},{"varval":"Blocks in top layer = 12\n\n\r\nBlocks in bottom layer = 12\n\n\r\nOther blocks (pillars) = 4 × 2 = 8\n\n\r\n$\\therefore$ Total blocks = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The edges of a $\\ 5 × 5 × 5$ cube are formed using blocks as shown below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-NC28-SA_2-1.svg 200 indent3 vpad\n\n<br>In total, 44 blocks are used.\n\n\r\n\r\nHow many blocks would be needed to make the edges of a $\\ 7 × 7 × 7$ cube in the same way?\n"},{"varval":"Blocks in top layer = 24\n\n\r\nBlocks in bottom layer = 24\n\n\r\nOther blocks (pillars) = 4 × 5 = 20\n\n\r\n$\\therefore$ Total blocks = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The edges of a $\\ 6 × 6 × 6$ cube are formed using blocks as shown below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-NC28-SA_3.svg 200 indent3 vpad\n\n<br>In total, 56 blocks are used.\n\n\r\n\r\nHow many blocks would be needed to make the edges of a $\\ 8 × 8 × 8$ cube in the same way?\n"},{"varval":"Blocks in top layer = 28\n\n\r\nBlocks in bottom layer = 28\n\n\r\nOther blocks (pillars) = 4 × 6 = 24\n\n\r\n$\\therefore$ Total blocks = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The edges of a $\\ 7 × 7 × 7$ cube are formed using blocks as shown below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-NC28-SA_4.svg 200 indent3 vpad\n\n<br>In total, 68 blocks are used.\n\n\r\n\r\nHow many blocks would be needed to make the edges of a $\\ 5 × 5 × 5$ cube in the same way?\n"},{"varval":"Blocks in top layer = 16\n\n\r\nBlocks in bottom layer = 16\n\n\r\nOther blocks (pillars) = 4 × 3 = 12\n\n\r\n$\\therefore$ Total blocks = {{{correctAnswer0}}}\n"}]},{"vars":[{"varval":"The edges of a $\\ 8 × 8 × 8$ cube are formed using blocks as shown below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-NC28-SA_5.svg 200 indent3 vpad\n\n<br>In total, 80 blocks are used.\n\n\r\n\r\nHow many blocks would be needed to make the edges of a $\\ 10 × 10 × 10$ cube in the same way?\n"},{"varval":"Blocks in top layer = 36\n\n\r\nBlocks in bottom layer = 36\n\n\r\nOther blocks (pillars) = 4 × 8 = 32\n\n\r\n$\\therefore$ Total blocks = {{{correctAnswer0}}}\n"}]}]

Measurement, NAPX-F4-CA31 SA - 8b6aa51f-1fc8-4bf8-8a0a-b81fdec70516 - (June 23, 2021)

var2 and var 3 ... h in image should be in italics - fixed var4 and var5 ... w should replace "h" for width in the question image (then the last worked solution paragraph should read "w = " changed to length and "l"

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Three identical cubes are placed on top of each other to form a rectangular prism as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA31-SA.svg 170 indent3 vpad\n\n<br>If the prism has a volume of 1029 cubic centimetres, what it its height?"},{"varval":"sm_nogap Let dimensions of one cube = $\\large a$ × $\\large a$ × $\\large a$\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|3$\\large a$$^3$|= 1029|\n|$\\large a$$^3$|= 343|\n|$\\large a$|= $\\sqrt[3]{343}$|\n||= 7 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large h$|= 3 × 7 |\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Three identical cubes are placed on top of each other to form a rectangular prism as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA31-SA_1.svg 170 indent3 vpad\n\n<br>If the prism has a volume of 5184 cubic centimetres, what it its height?"},{"varval":"sm_nogap Let dimensions of one cube = $\\large a$ × $\\large a$ × $\\large a$\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|3$\\large a$$^3$|= 5184|\n|$\\large a$$^3$|= 1728|\n|$\\large a$|= $\\sqrt[3]{1728}$|\n||= 12 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large h$|= 3 × 12 |\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Four identical cubes are placed on top of each other to form a rectangular prism as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-F4-CA31-SA_v2.svg 170 indent3 vpad\n\n<br>If the prism has a volume of 500 cubic centimetres, what it its height?"},{"varval":"sm_nogap Let dimensions of one cube = $\\large a$ × $\\large a$ × $\\large a$\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|4$\\large a$$^3$|= 500|\n|$\\large a$$^3$|= 125|\n|$\\large a$|= $\\sqrt[3]{125}$|\n||= 5 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large h$|= 4 × 5 |\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Four identical cubes are placed on top of each other to form a rectangular prism as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-F4-CA31-SA_v3.svg 170 indent3 vpad\n\n<br>If the prism has a volume of 2048 cubic centimetres, what it its height?"},{"varval":"sm_nogap Let dimensions of one cube = $\\large a$ × $\\large a$ × $\\large a$\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|4$\\large a$$^3$|= 2048|\n|$\\large a$$^3$|= 512|\n|$\\large a$|= $\\sqrt[3]{512}$|\n||= 8 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large h$|= 4 × 8 |\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Five identical cubes are placed side by side to form a rectangular prism as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-F4-CA31-SA_v4.svg 400 indent3 vpad\n\n<br>If the prism has a volume of 6655 cubic centimetres, what it its length?"},{"varval":"sm_nogap Let dimensions of one cube = $\\large a$ × $\\large a$ × $\\large a$\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|5$\\large a$$^3$|= 6655|\n|$\\large a$$^3$|= 1331|\n|$\\large a$|= $\\sqrt[3]{1331}$|\n||= 11 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large l$|= 5 × 11 |\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Six identical cubes are placed side by side to form a rectangular prism as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-F4-CA31-SA_v5.svg 400 indent3 vpad\n\n<br>If the prism has a volume of 4374 cubic centimetres, what it its length?"},{"varval":"sm_nogap Let dimensions of one cube = $\\large a$ × $\\large a$ × $\\large a$ \n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|6$\\large a$$^3$|= 4374|\n|$\\large a$$^3$|= 729|\n|$\\large a$|= $\\sqrt[3]{729}$|\n||= 9 cm|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore \\large l$|= 6 × 9 |\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-I4-CA27 SA - 704cf809-1103-448f-930d-b64ee5894c3f - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nA museum has a glass entrance that is made up of four equal triangles and a square, as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA272.svg 440 indent vpad\n\n<br>Belou is hired to clean the interior sides of the entrance, not including the floor.\n\n\r\n\r\nWhat is the area that Belou will need to clean? Answer to the nearest square metre.\n"},{"varval":"sm_nogap Area to clean\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × $\\dfrac{1}{2}\\large bh$ |\n|= 4 × $\\dfrac{1}{2}$ × 18 × 17.7|\n|= 637.2 m²|\n|= {{{correctAnswer0}}} {{{suffix0}}} (nearest m²)|\n\r\n\n</div>"}]},{"vars":[{"varval":"A light fitting is made up of four equal triangles and a square, as shown in the diagram below\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA27-SA_1.svg 450 indent vpad\n\n<br>Chrissy is spray painting the outside of the light fitting, not including the base.\n\n\r\n\r\nWhat is the area that Chrissy will need to paint?\n"},{"varval":"sm_nogap Area to paint\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × $\\dfrac{1}{2}\\large bh$ |\n|= 4 × $\\dfrac{1}{2}$ × 25 × 46|\n|= {{{correctAnswer0}}} {{{suffix0}}} |\n\r\n\n</div>"}]},{"vars":[{"varval":"A large glamping tent is made up of four equal triangles and a square, as shown in the diagram below\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA27-SA_5.svg 330 indent vpad\n\n<br>Bruce is covering the outside of the tent with waterproofing spray, not including the base.\n\n\r\n\r\nWhat is the area that Bruce will need to spray? Answer to the nearest square metre.\n\n"},{"varval":"sm_nogap Area to spray\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × $\\dfrac{1}{2}\\large bh$ |\n|= 4 × $\\dfrac{1}{2}$ × 4.5 × 3.6|\n|= 32.4 m²|\n|= {{{correctAnswer0}}} {{{suffix0}}} (nearest m²)|\n</div>"}]},{"vars":[{"varval":"A two person tent is made up of four equal triangles and a square, as shown in the diagram below\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA27-SA_4.svg 330 indent vpad\n\n<br>Jennifer is covering the outside of the tent with mosquito netting, not including the base.\n\n\r\n\r\nWhat is the area that Jennifer will need to cover? Answer to the nearest square metre.\n"},{"varval":"sm_nogap Area to cover\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × $\\dfrac{1}{2}\\large bh$ |\n|= 4 × $\\dfrac{1}{2}$ × 2.6 × 2.1|\n|= 10.92 m²|\n|= {{{correctAnswer0}}} {{{suffix0}}} (nearest m²)|\n</div>"}]},{"vars":[{"varval":"A Christmas decoration is made up of four equal triangles and a square, as shown in the diagram below\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA27-SA_3.svg 350 indent vpad\n\n<br>Klaus is covering the outside of the decoration with glitter spray, not including the base.\n\n\r\n\r\nWhat is the area that Klaus will need to cover? Answer to the nearest square centimetre."},{"varval":"sm_nogap Area to cover\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × $\\dfrac{1}{2}\\large bh$ |\n|= 4 × $\\dfrac{1}{2}$ × 5.6 × 9.1|\n|= 101.92 cm²|\n|= {{{correctAnswer0}}} {{{suffix0}}} (nearest cm²)|\n</div>"}]},{"vars":[{"varval":"A small ancient pyramid has been excavated. The pyramid is made up of four equal triangles and a square, as shown in the diagram below\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA27-SA_2.svg 300 indent vpad\n\n<br>Della is calculating the outside surface area of the pyramid, not including the base.\n\n\r\n\r\nWhat is the area that Della will calculate? Answer to the nearest square metre."},{"varval":"sm_nogap Area to calculate\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × $\\dfrac{1}{2}\\large bh$ |\n|= 4 × $\\dfrac{1}{2}$ × 15.2 × 12.7|\n|= 386.08 m²|\n|= {{{correctAnswer0}}} {{{suffix0}}} (nearest m²)|\n</div>"}]}]

Measurement, NAPX-H4-NC29 SA - 0c129d33-ec54-4cd7-b2c2-4977963e5627 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A dog bath is in the shape of a rectangular prism.\r\n\r\nIts measurements can be seen below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-H4-NC29-SA.svg 280 indent3 vpad\n\n<br>One cubic metre holds 1000 litres of water.\n\n\r\n\r\nHow many litres of water will fill the dog bath?\n"},{"varval":"sm_nogap Volume of dog bath\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 4 × 1.5 × 0.75|\n|= 4.5 m$^3$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A water trough is in the shape of a rectangular prism.\r\n\r\nIts measurements can be seen below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA_v1.svg 350 indent3 vpad\n\n<br>One cubic metre holds 1000 litres of water.\n\n\r\n\r\nHow many litres of water will it take to fill the water trough?\n"},{"varval":"sm_nogap Volume of water trough\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 2.4 × 0.9 × 1.1|\n|= 2.376 m$^3$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A shipping container is in the shape of a rectangular prism is to be converted into a swimming pool.\n\n\r\n\r\nIts measurements can be seen below:\n\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA_v2a.svg 240 indent3 vpad\n\n<br>One cubic metre holds 1000 litres of water.\n\nHow many litres of water will it take to fill the converted shipping container?\n"},{"varval":"sm_nogap Volume of converted shipping container\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 9.2 × 2.6 × 2.4|\n|= 56.784 m$^3$|\n|= 56 784 litres|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A fish tank is in the shape of a rectangular prism.\n\n\r\n\r\nIts measurements can be seen below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA_v3.svg 340 indent3 vpad\n\n<br>One cubic metre holds 1000 litres of water.\n\nHow many litres of water will it take to fill the fish tank?\n"},{"varval":"sm_nogap Volume of fish tank\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 0.6 × 0.8 × 0.6|\n|= 0.288 m$^3$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A kitchen sink is in the shape of a rectangular prism.\n\n\r\n\r\nIts measurements can be seen below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA-v4.svg 300 indent3 vpad\n\n<br>One cubic metre holds 1000 litres of water.\n\nHow many litres of water, to the nearest litre, will it take to fill the kitchen sink?\n"},{"varval":"sm_nogap Volume of kitchen sink\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 0.24 × 0.36 × 0.44|\n|= 0.038016 m$^3$|\n|= 38.016 litres|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A water tank is in the shape of a rectangular prism.\n\n\r\n\r\nIts measurements can be seen below:\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-H4-NC29-SA-v5.svg 400 indent vpad\n\n<br>One cubic metre holds 1000 litres of water.\n\nHow many litres of water will it take to fill the water tank?\n"},{"varval":"sm_nogap Volume of water tank\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 2.1 × 4 × 0.8|\n|= 6.72 m$^3$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\r\n\r\n\n</div>"}]}]

Measurement, NAPX-G4-CA27 SA, NAPX-G3-CA30 SA - 142202d5-97cc-49a8-b713-750d7303d4cb - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Minerva is tiling her back deck which is rectangular and measures 3.6 m × 4.2 m.\n\r\nShe decides to use the square tiles shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-G4-CA27-SA.svg 290 indent3 vpad\n\n<br>How many boxes of these square tiles does Minerva need to order?\n"},{"varval":"sm_nogap Area of back deck in the number of tiles\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{3.6}{0.3} \\times \\dfrac{4.2}{0.3}$|\n|= 12 tiles $\\times$ 14 tiles|\n|= 168 tiles|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Number of boxes to order\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{168}{8}$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Jake is tiling his bbq area which is rectangular and measures 4.0 m × 6.4 m.\n\r\nHe decides to use the square tiles shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_1b.svg 330 indent3 vpad\n\n<br>How many boxes of these square tiles does Jake need to order?\n"},{"varval":"sm_nogap Area of bbq area in the number of tiles\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{4.0}{0.4} \\times \\dfrac{6.4}{0.4}$|\n|= 10 tiles $\\times$ 16 tiles|\n|= 160 tiles|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Number of boxes to order\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{160}{10}$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Sienna is tiling the splashback in her new kitchen which is rectangular and measures 0.6 m × 2.4 m.\n\r\nShe decides to use the square tiles shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_2_1.svg 360 indent3 vpad\n\n<br>How many boxes of these square tiles does Sienna need to order?"},{"varval":"sm_nogap Area of splashback in the number of tiles\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{0.6}{0.1} \\times \\dfrac{2.4}{0.1}$|\n|= 6 tiles $\\times$ 24 tiles|\n|= 144 tiles|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Number of boxes to order\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{144}{36}$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Bryson is tiling his patio which is rectangular and measures 6.3 m × 3.0 m.\n\r\nHe decides to use the square tiles shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_3_a.svg 360 indent3 vpad\n\n<br>How many boxes of these square tiles does Bryson need to order?"},{"varval":"sm_nogap Area of patio in the number of tiles\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{6.0}{0.15} \\times \\dfrac{3.0}{0.15}$|\n|= 42 tiles $\\times$ 20 tiles|\n|= 840 tiles|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Number of boxes to order\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{840}{20}$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Donna is tiling one wall in her butler's pantry which is rectangular and measu 4.5 m × 1.2 m.\n\r\nShe decides to use the square tiles shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_2_a.svg 360 indent3 vpad\n\n<br>How many boxes of these square tiles does Donna need to order?"},{"varval":"sm_nogap Area of walls in the number of tiles\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{4.5}{0.10} \\times \\dfrac{1.2}{0.10}$|\n|= 45 tiles $\\times$ 12 tiles|\n|= 540 tiles|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Number of boxes to order\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{540}{90}$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Matt is using rubber tiles to tile a playground floor which is rectangular and measures 13.2 m × 9.0 m.\n\r\nHe decides to use the square tiles shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA27-SA_NAPX-G3-CA30-SA_4_a.svg 360 indent3 vpad\n\n<br>How many boxes of these square tiles does Matt need to order?"},{"varval":"sm_nogap Area of playground floor in the number of tiles\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{13.2}{0.60} \\times \\dfrac{9.0}{0.60}$|\n|= 22 tiles $\\times$ 15 tiles|\n|= 330 tiles|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Number of boxes to order\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{330}{10}$|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-F4-NC29 - 62a179e9-6471-43a6-9ff9-2e90c2a93d96 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A wheelchair ramp is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC29.svg 360 indent3 vpad\n\n<br>The ramp is in the shape of a triangular prism?\n\nWhat is the volume of the ramp?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume| = $A\\large h$|\n||= $\\bigg( \\dfrac{1}{2} \\times 7 \\times 0.4 \\bigg) \\times 2$|\n||= 1.4 $\\times$ 2|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A boat ramp is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v1.svg 550 vpad\n\n<br>The ramp is in the shape of a triangular prism?\n\nWhat is the volume of the ramp?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume| = $A\\large h$|\n||= $\\bigg( \\dfrac{1}{2} \\times 10 \\times 0.3 \\bigg) \\times 5$|\n||= 1.5 $\\times$ 5|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A large access ramp is pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v2.svg 350 vpad\n\n<br>The ramp is in the shape of a triangular prism?\n\nWhat is the volume of the ramp?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume| = $A\\large h$|\n||= $\\bigg( \\dfrac{1}{2} \\times 3 \\times 0.7 \\bigg) \\times 1.5$|\n||= 1.05 $\\times$ 1.5|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"An timber sleeper in the shape of a rectangular prism is to be cut into to 2 equal triangular prisms as pictured below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v3_a.svg 450 indent1 vpad\n\n<br>\n\nWhat is the volume in cubic centimetres, of one of the triangular prism shaped pieces of timber?\n"},{"varval":"Using 1 m = 100 cm\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume| = $A\\large h$|\n||= $\\bigg( \\dfrac{1}{2} \\times 100 \\times 10 \\bigg) \\times 20$|\n||= 500 $\\times$ 20|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"An timber door wedge is pictured below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v4.svg 600 indent vpad\n\n<br>The wedge is in the shape of a triangular prism?\n\nWhat is the volume of the wedge in cubic centimetres?\n"},{"varval":"Using 1 cm = 10 mm\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume| = $A\\large h$|\n||= $\\bigg( \\dfrac{1}{2} \\times 10 \\times 3 \\bigg) \\times 2.5$|\n||= 15 $\\times$ 2.5|\n||= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A rubber access ramp is pictured below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC29_v_5.svg 400 indent3 vpad\n\n<br>The access ramp is in the shape of a triangular prism?\n\nWhat is the volume of the access ramp?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Volume| = $A\\large h$|\n||= $\\bigg( \\dfrac{1}{2} \\times 30 \\times 10 \\bigg) \\times 90$|\n||= 150 $\\times$ 90|\n||= {{{correctAnswer}}}|\n\n</div>"}]}]

Measurement, NAPX-H4-CA25 SA - bd9d4f01-5aa7-45b1-a7fd-b814a530be4c - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Rodin makes a large sculpture in the shape of a cube.\n\n\r\n\r\nThe total length of all of its edges is 72 metres.\n\n\r\n\r\nWhat is the area of one of the cube's faces?\n"},{"varval":"Total edges of a cube = 12\n\n\r\nsm_nogap Length of 1 edge\n\n\r\n>>= 72 ÷ 12\n\n\r\n>>= 6 metres\r\n \r\n\r\n<br>\n\nsm_nogap $\\therefore$ Area of one face\n\n\r\n>> = 6 × 6\n\n\r\n>> = {{{correctAnswer0}}} {{{suffix0}}}\n"}]},{"vars":[{"varval":"Dwayne cuts a sandstone block in the shape of a cube.\n\n\r\n\r\nThe total length of all of its edges is 48 metres.\n\n\r\n\r\nWhat is the area of one of the cube's faces?\n"},{"varval":"Total edges of a cube = 12\n\n\r\nsm_nogap Length of 1 edge\n\n\r\n>>= 48 ÷ 12\n\n\r\n>>= 4 metres\r\n \r\n\r\n<br>\n\nsm_nogap $\\therefore$ Area of one face\n\n\r\n>> = 4 × 4\n\n\r\n>> = {{{correctAnswer0}}} {{{suffix0}}}\n"}]},{"vars":[{"varval":"Liv builds a climbing gym in the shape of a cube.\n\n\r\n\r\nThe total length of all of its edges is 24 metres.\n\n\r\n\r\nWhat is the area of one of the cube's faces?\n"},{"varval":"Total edges of a cube = 12\n\n\r\nsm_nogap Length of 1 edge\n\n\r\n>>= 24 ÷ 12\n\n\r\n>>= 2 metres\r\n \r\n\r\n<br>\n\nsm_nogap $\\therefore$ Area of one face\n\n\r\n>> = 2 × 2\n\n\r\n>> = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"Levy makes a birthday cake in the shape of a cube.\n\n\r\n\r\nThe total length of all of its edges is 180 centimetres.\n\n\r\n\r\nWhat is the area of one of the cube's faces?"},{"varval":"Total edges of a cube = 12\n\n\r\nsm_nogap Length of 1 edge\n\n\r\n>>= 180 ÷ 12\n\n\r\n>>= 15 centimetres\r\n \r\n\r\n<br>\n\nsm_nogap $\\therefore$ Area of one face\n\n\r\n>> = 15 × 15\n\n\r\n>> = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"Mishy makes a Lego house in the shape of a cube.\n\n\r\n\r\nThe total length of all of its edges is 192 centimetres.\n\n\r\n\r\nWhat is the area of one of the cube's faces?"},{"varval":"Total edges of a cube = 12\n\n\r\nsm_nogap Length of 1 edge\n\n\r\n>>= 192 ÷ 12\n\n\r\n>>= 16 centimetres\r\n \r\n\r\n<br>\n\nsm_nogap $\\therefore$ Area of one face\n\n\r\n>> = 16 × 16\n\n\r\n>> = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"Anthony trims a hedge in the shape of a cube.\n\n\r\n\r\nThe total length of all of its edges is 9.60 metres.\n\n\r\n\r\nWhat is the area of one of the cube's faces in square centimetres?"},{"varval":"Total edges of a cube = 12\n\n\r\nsm_nogap Length of 1 edge\n\n\r\n>>= 960 ÷ 12\n\n\r\n>>= 80 centimetres\r\n \r\n\r\n<br>\n\nsm_nogap $\\therefore$ Area of one face\n\n\r\n>> = 80 × 80\n\n\r\n>> = {{{correctAnswer0}}} {{{suffix0}}}"}]}]

Measurement, NAPX-E4-CA26 - 41ee325e-29e1-484f-bb18-f5ccbfaa4771 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A builder is tiling a floor that is 240 cm wide and 360 cm long.\n\r\nShe uses the triangular floor tile that is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-CA26.svg 240 indent vpad\n\n<br>She uses all of her tiles and has no gaps between them.\n\nHow many tiles does she need?"},{"varval":"Strategy 1\n\n2 tiles form a $\\ 4 × 12$ cm rectangle.\n\n\r\nFitting rectangles into floor plan:\n\n\r\nWidth = $\\dfrac{240}{4}$ = 60 rectangles\n\n\r\nLength = $\\dfrac{360}{12}$ = 30 rectangles\n\nsm_nogap $\\therefore$ Total tiles\n\n\r\n>>= 2 × (30 × 60)\n\n\r\n>>= {{{correctAnswer}}}\n\n<br>\n\nStrategy 2\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Area of 1 triangle | = $\\dfrac{1}{2} \\times 4 \\times 12$ |\n| | = 24 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| $\\therefore$ Tiles needed | = $(240 \\times 360) \\div 24$ |\n| | = {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"A landscaper is tiling a patio that is 360 cm wide and 450 cm long.\n\r\nHe uses the triangular floor tile that is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-CA26_5.svg 450 indent vpad\n\n<br>He uses all of his tiles and has no gaps between them.\n\nHow many tiles does he need?"},{"varval":"Strategy 1\n\n2 tiles form a $\\ 12 × 5$ cm rectangle.\n\n\r\nFitting rectangles into floor plan:\n\n\r\nWidth = $\\dfrac{360}{12}$ = 30 rectangles\n\n\r\nLength = $\\dfrac{450}{5}$ = 90 rectangles\n\nsm_nogap $\\therefore$ Total tiles\n\n\r\n>>= 2 × (30 × 90)\n\n\r\n>>= {{{correctAnswer}}}\n\n<br>\n\nStrategy 2\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Area of 1 triangle | = $\\dfrac{1}{2} \\times 12 \\times 5$ |\n| | = 30 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| $\\therefore$ Tiles needed | = $(360 \\times 450) \\div 30$ |\n| | = {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"A pastry chef is cutting pastries from a sheet of pastry that is 96 cm wide and 55 cm long.\n\r\nHe cuts out pastry triangles in the shape shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-CA26_4.svg 270 indent3 vpad\n\n<br>He uses the whole pastry sheet and has no pieces left over.\n\nHow many pastry triangles does he cut?"},{"varval":"Strategy 1\n\n2 pastries form a $\\ 6 × 5$ cm rectangle.\n\n\r\nCutting pastries from the pastry sheet:\n\n\r\nWidth = $\\dfrac{96}{6}$ = 16 rectangles\n\n\r\nLength = $\\dfrac{55}{5}$ = 11 rectangles\n\nsm_nogap $\\therefore$ Total pastries\n\n\r\n>>= 2 × (16 × 11)\n\n\r\n>>= {{{correctAnswer}}}\n\n<br>\n\nStrategy 2\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Area of 1 triangle | = $\\dfrac{1}{2} \\times 6 \\times 5$ |\n| | = 15 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| $\\therefore$ Pastries cut | = $(96 \\times 55) \\div 15$ |\n| | = {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Jeff is tiling his bathroom that is 2.4 m wide and 2.1 m long.\n\r\nHe uses the triangular floor tile that is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-CA26_3.svg 270 indent vpad\n\n<br>He uses all of his tiles and has no gaps between them.\n\nHow many tiles does he need?"},{"varval":"Strategy 1\n\n2 tiles form a $\\ 8 × 3$ cm rectangle.\n\n\r\nFitting tiles into floor plan:\n\n\r\nWidth = $\\dfrac{240}{8}$ = 30 rectangles\n\n\r\nLength = $\\dfrac{210}{3}$ = 70 rectangles\n\nsm_nogap $\\therefore$ Total tiles\n\n\r\n>>= 2 × (30 × 70)\n\n\r\n>>= {{{correctAnswer}}}\n\n<br>\n\nStrategy 2\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Area of 1 triangle | = $\\dfrac{1}{2} \\times 8 \\times 3$ |\n| | = 12 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| $\\therefore$ Tiles needed | = $(240 \\times 210) \\div 12$ |\n| | = {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Carmen is cutting material for a patchwork quilt. The finished quilt will measure 180 cm wide and 196 cm long.\n\r\nShe uses the triangular template that is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-E4-CA26_2.svg 400 indent vpad\n\n<br>She covers the area exactly and has no gaps between the pieces.\n\nHow many triangular pieces does she need?"},{"varval":"Strategy 1\n\n2 triangles form a $\\ 12 × 7$ cm rectangle.\n\n\r\nFitting triangles into quilt measurements:\n\n\r\nWidth = $\\dfrac{180}{12}$ = 15 rectangles\n\n\r\nLength = $\\dfrac{196}{7}$ = 28 rectangles\n\nsm_nogap $\\therefore$ Total tiles\n\n\r\n>>= 2 × (15 × 28)\n\n\r\n>>= {{{correctAnswer}}}\n\n<br>\n\nStrategy 2\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Area of 1 triangle | = $\\dfrac{1}{2} \\times 12 \\times 7$ |\n| | = 42 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| $\\therefore$ Tiles needed | = $(180 \\times 196) \\div 42$ |\n| | = {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Bernice is tiling a mural that is 330 cm wide and 450 cm high.\n\r\nShe uses the triangular wall tile that is drawn below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX-E4-CA26_1.svg 400 indent vpad\n\n<br>She uses all of her tiles and has no gaps between them.\n\nHow many tiles does she need?"},{"varval":"Strategy 1\n\n2 tiles form a $\\ 15 × 5$ cm rectangle.\n\n\r\nFitting tiles into floor plan:\n\n\r\nWidth = $\\dfrac{330}{15}$ = 22 rectangles\n\n\r\nLength = $\\dfrac{450}{5}$ = 90 rectangles\n\nsm_nogap $\\therefore$ Total tiles\n\n\r\n>>= 2 × (22 × 90)\n\n\r\n>>= {{{correctAnswer}}}\n\n<br>\n\nStrategy 2\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| Area of 1 triangle | = $\\dfrac{1}{2} \\times 15 \\times 5$ |\n| | = 37.5 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------------------------------------- |\n| $\\therefore$ Tiles needed | = $(330 \\times 450) \\div 37.5$ |\n| | = {{{correctAnswer}}} |\n\n</div>\n"}]}]

Measurement, NAPX-F4-NC24 SA, NAPX-F3-NC27 SA - fe554fa1-10c7-45e7-97bc-09e6c7e0150b - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC24.svg 350 indent3 vpad\n\n<br>\n\nWhat is the area of the shaded part of the figure?\n"},{"varval":"sm_nogap Area of large triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 12 \\times 12$|\n|= 72 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap Area of smaller triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 4 \\times 4$|\n|= 8 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Shaded area\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 72 − (2 × 8)|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC24-SA_NAPX-F3-NC27-SA_v1.svg 400 indent3 vpad\n\n<br>\n\nWhat is the area of the shaded part of the figure?\n"},{"varval":"sm_nogap Area of large triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 16 \\times 16$|\n|= 128 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap Area of smaller triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 6 \\times 6$|\n|= 18 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Shaded area\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 128 − (2 × 18)|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC24-SA_NAPX-F3-NC27-SA_v2.svg 400 indent3 vpad\n\n<br>\n\nWhat is the area of the shaded part of the figure?\n"},{"varval":"sm_nogap Area of large triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 10 \\times 10$|\n|= 50 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap Area of smaller triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 3 \\times 3$|\n|= 4.5 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Shaded area\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 50 − (2 × 4.5)|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC24-SA_NAPX-F3-NC27-SA_v3.svg 400 indent3 vpad\n\n<br>\n\nWhat is the area of the shaded part of the figure?\n"},{"varval":"sm_nogap Area of large triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 20 \\times 20$|\n|= 200 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap Area of smaller triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 8 \\times 8$|\n|= 32 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Shaded area\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 200 − (2 × 32)|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC24-SA_NAPX-F3-NC27-SA_v4.svg 400 indent3 vpad\n\n<br>\n\nWhat is the area of the shaded part of the figure?\n"},{"varval":"sm_nogap Area of large triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 20 \\times 20$|\n|= 200 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap Area of smaller triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 5 \\times 5$|\n|= 12.5 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Shaded area\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 200 − (2 × 12.5)|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-NC24-SA_NAPX-F3-NC27-SA_v5.svg 400 indent3 vpad\n\n<br>\n\nWhat is the area of the shaded part of the figure?\n"},{"varval":"sm_nogap Area of large triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 12 \\times 12$|\n|= 72 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap Area of smaller triangle\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= $\\dfrac{1}{2} \\times 3.6 \\times 3.6$|\n|= 6.48 cm$^2$|\n\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Shaded area\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 72 − (2 × 6.48)|\n|= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>\n"}]}]

Measurement, NAPX-F3-CA32 SA - 665a309d-5bc0-49c5-8152-fce80d2b0ee5 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A square has an area of 196 square centimetres.\n\n\r\n\r\nWhat is the perimeter?\n"},{"varval":"sm_nogap Let $\\large x$ = length of 1 side \n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\large x$$^2$|= 196|\n|$\\large x$|= $\\sqrt{196}$|\n||= 14 cm|\n\n</div>\n\n<br>\n\r\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\therefore$ Perimeter|= 4 $\\times$ 14|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n\n</div>"}]},{"vars":[{"varval":"A square has an area of 225 square centimetres.\n\n\r\n\r\nWhat is the perimeter?\n"},{"varval":"sm_nogap Let $\\large x$ = length of 1 side \n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\large x$$^2$|= 225|\n|$\\large x$|= $\\sqrt{225}$|\n||= 15 cm|\n\n</div>\n\n<br>\n\r\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\therefore$ Perimeter|= 4 $\\times$ 15|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n\n</div>"}]},{"vars":[{"varval":"A square has an area of 576 square centimetres.\n\n\r\n\r\nWhat is the perimeter?\n"},{"varval":"sm_nogap Let $\\large x$ = length of 1 side \n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\large x$$^2$|= 576|\n|$\\large x$|= $\\sqrt{576}$|\n||= 24 cm|\n\n</div>\n\n<br>\n\r\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\therefore$ Perimeter|= 4 $\\times$ 24|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n\n</div>"}]},{"vars":[{"varval":"A square has an area of 324 square centimetres.\n\n\r\n\r\nWhat is the perimeter?\n"},{"varval":"sm_nogap Let $\\large x$ = length of 1 side \n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\large x$$^2$|= 324|\n|$\\large x$|= $\\sqrt{324}$|\n||= 18 cm|\n\n</div>\n\n<br>\n\r\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\therefore$ Perimeter|= 4 $\\times$ 18|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n\n</div>"}]},{"vars":[{"varval":"A square has an area of 1.44 square metres.\n\n\r\n\r\nWhat is the perimeter?\n"},{"varval":"sm_nogap Let $\\large x$ = length of 1 side \n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\large x$$^2$|= 1.44|\n|$\\large x$|= $\\sqrt{1.44}$|\n||= 1.2 m|\n\n</div>\n\n<br>\n\r\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\therefore$ Perimeter|= 4 $\\times$ 1.2|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n\n</div>"}]},{"vars":[{"varval":"A square has an area of 3.61 square metres.\n\n\r\n\r\nWhat is the perimeter?\n"},{"varval":"sm_nogap Let $\\large x$ = length of 1 side \n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\large x$$^2$|= 3.61|\n|$\\large x$|= $\\sqrt{3.61}$|\n||= 1.9 m|\n\n</div>\n\n<br>\n\r\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$\\therefore$ Perimeter|= 4 $\\times$ 1.9|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n\n</div>"}]}]

Measurement, NAPX9-TLF-CA32 v3 - 081f5b0d-2011-4ba7-8bd8-43390d7a1721 - (June 23, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A logo is shaped like a hexagon.\n\nThe dimensions are given from the top view of the logo.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/09/NAPX9-TLF-32.svg 320 indent3 vpad\n\n<br>What is the total area of the logo?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= Area of rectangle + 2 × Area of triangle|\n||= (13 × 22) + 2 × $\\bigg( \\dfrac{1}{2} × 22 × 3 \\bigg)$|\n||= 286 + 66|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A logo is shaped like a hexagon.\n\nThe dimensions are given from the top view of the logo.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX9-TLF-CA32-v3_v1.svg 350 indent3 vpad\n\n<br>What is the total area of the logo?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= Area of rectangle + 2 × Area of triangle|\n||= (40 × 19) + 2 × $\\bigg( \\dfrac{1}{2} × 40 × 7 \\bigg)$|\n||= 760 + 280|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A resort's swimming pool is shaped like a hexagon.\n\nThe dimensions are given from the top view of the swimming pool.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX9-TLF-CA32-v3_v2.svg 420 indent vpad\n\n<br>What is the total area of the swimming pool?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= Area of rectangle + 2 × Area of triangle|\n||= (3 × 4) + 2 × $\\bigg( \\dfrac{1}{2} × 3 × 5 \\bigg)$|\n||= 12 + 15|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"An earring is shaped like a hexagon.\n\nThe dimensions are given from the top view of the earring.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX9-TLF-CA32-v3_v3.svg 270 indent3 vpad\n\n<br>What is the total area of the earring?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= Area of rectangle + 2 × Area of triangle|\n||= (6 × 2) + 2 × $\\bigg( \\dfrac{1}{2} × 6 × 1 \\bigg)$|\n||= 12 + 6|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A holiday unit is shaped like a hexagon.\n\nThe dimensions of its floor plan are shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX9-TLF-CA32-v3_v4.svg 480 indent vpad\n\n<br>What is the total area of the holiday unit?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= Area of rectangle + 2 × Area of triangle|\n||= (14 × 9) + 2 × $\\bigg( \\dfrac{1}{2} × 9 × 3 \\bigg)$|\n||= 126 + 27|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A place mat is shaped like a hexagon.\n\nThe dimensions are given from the top view of the place mat.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX9-TLF-CA32-v3_v5.svg 380 indent vpad\n\n<br>What is the total area of the place mat?\n"},{"varval":"<div class=\"aligned\">\n\n|||\n|-|-|\n|Area|= Area of rectangle + Area of triangle 1 + Area of triangle 2|\n||= (24 × 27) + $\\bigg( \\dfrac{1}{2} × 27 × 6 \\bigg)$ + $\\bigg( \\dfrac{1}{2} × 27 × 5 \\bigg)$||\n||= 648 + 81 + 67.5|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX9-TLD-CA22 v3 - 6e437fc4-f7e2-4fec-9d38-1ebbeb30d19f - (June 23, 2021)

Measurement, NAPX9-TLD-CA22 v2

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The length of this rectangle is three times its height.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX9-TLD-CA22-v3_0_1_a.svg 400 indent vpad\n\n<br>The perimeter of the rectangle is 32 centimetres.\n\n\r\n\r\nWhat is the area of the rectangle?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Let $\\ \\large h$| = height|\n|$3\\large h$|= length|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$2 \\times (\\large h$ + 3$\\large h$)| = 32|\n|$8\\large h$|= 32|\n|$\\large h$|= 4|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area| = 4 $\\times$ 12|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"The length of this rectangle is twice its height.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX9-TLD-CA22-v3_0_1_a.svg 400 indent3 vpad\n\n<br>The perimeter of the rectangle is 30 centimetres.\n\n\r\n\r\nWhat is the area of the rectangle?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Let $\\ \\large h$| = height|\n|$2\\large h$|= length|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$2 \\times (\\large h$ + 2$\\large h$)| = 30|\n|$6\\large h$|= 30|\n|$\\large h$|= 5|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area| = 5 $\\times$ 10|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"The length of this rectangle is one third its height.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX9-TLD-CA22-v3_2_3.svg 240 indent3 vpad\n\n<br>The perimeter of the rectangle is 72 centimetres.\n\n\r\n\r\nWhat is the area of the rectangle?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Let $\\ \\large l$| = length|\n|$3\\large l$|= height|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$2 \\times (\\large l$ + 3$\\large l$)| = 72|\n|$8\\large l$|= 72|\n|$\\large l$|= 9|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area| = 9 $\\times$ 27|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"The length of this rectangle is one-quarter its height.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX9-TLD-CA22-v3_2_3.svg 240 indent3 vpad\n\n<br>The perimeter of the rectangle is 50 centimetres.\n\n\r\n\r\nWhat is the area of the rectangle?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Let $\\ \\large l$| = length|\n|$4\\large l$|= height|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$2 \\times (\\large l$ + 4$\\large l$)| = 50|\n|$10\\large l$|= 50|\n|$\\large l$|= 5|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area| = 5 $\\times$ 20|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"The length of this rectangle is one and a half times its height.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX9-TLD-CA22-v3_4_5.svg 300 indent vpad\n\n<br>The perimeter of the rectangle is 60 centimetres.\n\n\r\n\r\nWhat is the area of the rectangle?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Let $\\ \\large h$| = height|\n|$1.5\\large h$|= length|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$2 \\times (\\large h$ + 1.5$\\large h$)| = 60|\n|$5\\large h$|= 60|\n|$\\large h$|= 12|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area| = 12 $\\times$ 18|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"The length of this rectangle is two and half times its height.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement-NAPX9-TLD-CA22-v3_4_5.svg 300 indent vpad\n\n<br>The perimeter of the rectangle is 42 centimetres.\n\n\r\n\r\nWhat is the area of the rectangle?"},{"varval":"<div class=\"aligned\">\n\n|||\n|-:|-|\n|Let $\\ \\large h$| = height|\n|$2.5\\large h$|= length|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-:|-|\n|$2 \\times (\\large h$ + 2.5$\\large h$)| = 42|\n|$7\\large h$|= 42|\n|$\\large h$|= 6|\n\n</div>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area| = 6 $\\times$ 15|\n| |= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Statistics and Probability, NAPX-I3-CA18 - f6e0fa6c-fa22-4383-a6d5-8318b0a680ad - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Petal did a survey of her class, asking everyone what their favourite season is.\r\n\r\nThis table below shows the results.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| Season | Number of Classmates|\n|:-:|:-:|\n| Summer | 17|\n| Autumn | 8|\n|Winter|2|\n|Spring| 10|\n\n</div>\n\n<br>What is the probability that a randomly selected classmate's favourite season is Spring?\r\n\r\nRound your answer to the nearest hundredth."},{"varval":"sm_nogap $P$(Spring is favourite)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number who chose Spring}}{\\text{total classmates}}$ |\r\n|||\n| | \\= $\\dfrac{10}{17 + 8 + 2 + 10}$ |\n|||\n| | \\= $\\dfrac{10}{37}$ |\n| | \\= 0.270... |\r\n| | \\= {{{correctAnswer}}} (nearest hundredth)|\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Jenny did a survey of her kindergarten class, asking everyone who their favourite Wiggle was.\r\n\r\nThis table below shows the results.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| Wiggle | Number of Students|\n|:-:|:-:|\n| Red | 5|\n| Blue | 6|\n|Yellow|9|\n|Purple| 3|\n\n</div>\n\n<br>What is the probability that a randomly selected classmate's favourite Wiggle is Yellow Wiggle?\r\n\r\nRound your answer to the nearest hundredth."},{"varval":"sm_nogap $P$(Yellow Wiggle favourite)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number who chose Yellow Wiggle}}{\\text{total classmates}}$ |\r\n|||\n| | \\= $\\dfrac{9}{5 + 6 + 9 + 3}$ |\n|||\n| | \\= $\\dfrac{9}{23}$ |\n| | \\= 0.391... |\r\n| | \\= {{{correctAnswer}}} (nearest hundredth) |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Haggs did a survey of his kindergarten class, asking everyone who their favourite Teletubby was.\r\n\r\nThis table below shows the results.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| **Teletubby** | **Number of Students**|\n|:-:|:-:|\n| Dipsy | 3|\n| Laa-Laa |5|\n|Tinky-Winky| 11|\n|Po| 2 |\n\n</div>\n\n<br>What is the probability that a randomly selected classmate's favourite Teletubby is Tinky-Winky?\r\n\r\nRound your answer to the nearest hundredth."},{"varval":"sm_nogap $P$(Tinky-Winky favourite)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------- | ---------- |\r\n| | \\= $\\dfrac{\\text{number who chose Tinky-Winky}}{\\text{total classmates}}$ |\r\n|||\n| | \\= $\\dfrac{11}{3 + 5 + 11 + 2}$ |\n|||\n| | \\= $\\dfrac{11}{21}$ |\n| | \\= 0.523... |\r\n| | \\= {{{correctAnswer}}} (nearest hundredth) |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-G4-NC13 - d6cc214a-c309-454e-af45-3619b547d017 - (June 22, 2021)

<div class="sm_mode"> Kooger spins the arrow on two identical spinners. The arrow on each spinner is equally likely to land on 1, 2 or 3. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2016/12/NAP-149-NC13.png 300 indent3 vpad <br>If Kooger adds up the two results, which total is he least likely to get? </div>

[{"vars":null}]

Statistics and Probability, NAPX-H4-NC03, NAPX-H3-NC09 - efcfef99-7eda-41ee-8e4f-751b7f236423 - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nTwo identical spinners are spun at the same time and the two numbers they land on are added together.\n\n<br>\n\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC031.svg 320 indent vpad\n\n<br>Which total is most likely?\n"},{"varval":"Seven can be achieved in 6 different ways.\n\n<div class=\"sm-table col1-color1\">\n\n>| Spinner 1| 1|2|3|4|5|6|\n|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n| Spinner 2| 6|5|4|3|2|1|\n\n\n</div>\n\n<br>All other totals have less possible combinations.\n\n$\\therefore$ {{{correctAnswer}}} is the most likely.\n"}]},{"vars":[{"varval":"Two identical spinners are spun at the same time and the two numbers they land on are added together.\n\n<br>\n\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-NC031.svg 320 indent vpad\n\n<br>Which are the two least likely totals?\n\n\n"},{"varval":"The totals when the numbers are added together are shown in the grid below.\n\n<div class=\"sm-table col1-color5 row1-color5 \">\n\n>>|+| 1|2|3|4|5|6|\n|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n| 1| 2|3|4|5|6|7|\n| 2| 3|4|5|6|7|8|\n| 3| 4|5|6|7|8|9|\n| 4| 5|6|7|8|9|10|\n| 5| 6|7|8|9|10|11|\n| 6| 7|8|9|10|11|12|\n\n\n\n</div>\n\n<br>All totals except {{{correctAnswer}}} occur more than once.\n\n$\\therefore$ {{{correctAnswer}}} are the two least likely totals."}]}]

Statistics and Probability, NAPX-G4-CA11 - f932a63e-6de6-46ad-9c3f-c92906b84433 - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Dennis is a fast bowler. In a cricket game, the chance of him getting a wicket on a given ball is unlikely.\r\n\r\nWhich probability best describes Dennis' chance of getting a wicket from one particular ball?"},{"varval":"Unlikely means the probability is\r close to zero.\n\n$\\therefore$ {{{correctAnswer}}} is the best probability."}]},{"vars":[{"varval":"Isaac holds an apple in his outstretched hand and releases it.\r\n\r\nWhich number below represents the probability that it will travel towards the ground?"},{"varval":"A certain event has a probability of {{{correctAnswer}}}"}]}]

Probability, NAPX9-TLB-20 v3 - 71328bd1-8d4c-49f2-a8a6-d9f23d902d7a - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A biased dice is rolled.\r\n\r\nThe probability of rolling an even number is 70%.\r\n\r\n\nWhat is the probability of rolling an odd number?"},{"varval":"sm_nogap $P$(odd number)\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n| ---------- |\r\n| \\= 1 $− \\ P$(even number)|\n| \\= $1\\ − \\ 0.70$|\n| \\= 0.30 |\r\n| \\= {{{correctAnswer0}}}{{{suffix0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A biased dice is rolled.\r\n\r\nThe probability of rolling an odd number is 40%.\r\n\r\n\nWhat is the probability of rolling an even number?"},{"varval":"sm_nogap $P$(even number)\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n| ---------- |\r\n| \\= 1 $− \\ P$(odd number)|\n| \\= $1\\ − \\ 0.40$|\n| \\= 0.60 |\r\n| \\= {{{correctAnswer0}}}{{{suffix0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"A biased dice is rolled.\r\n\r\nThe probability of rolling an odd number is 55%.\r\n\r\n\nWhat is the probability of rolling an even number?"},{"varval":"sm_nogap $P$(even number)\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n| ---------- |\r\n| \\= 1 $− \\ P$(odd number)|\n| \\= $1\\ − \\ 0.55%$|\n| \\= 0.45 |\r\n| \\= {{{correctAnswer0}}}{{{suffix0}}} |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-L4-CA07 o2 - 62949a02-3974-44c5-a2f6-aee1f426993d - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Albert runs a pet store that sells pure breed dogs.\r\n\r\nHe has a total of 36 dogs in the shop from different breeds.\n\n<br>\n\n<div class=\"sm-table row1-color8\">\n\n>>| **Breed** | **Number of dogs** |\n|:-:|:-:|\n| Pug| 4|\n| Labrador| 16|\n| Bulldog| 6|\n| Chihuahua| 5|\n| Husky | 5|\n\n</div>\n\n<br>If one of Albert's dogs is chosen at random, what is the probability it will be either a labrador or a bulldog?"},{"varval":"\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $P$(L or B) | \\= $\\dfrac{\\text{Number of L and B}}{\\text{Total puppies}}$ |\n| | \\= $\\dfrac{16 + 6}{36}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n\n"}]},{"vars":[{"varval":"Nerida breeds 4 different types of hounds.\r\n\r\nLast year her hounds produced a total of 32 puppies.\n\n<br>\n\n<div class=\"sm-table row1-color8\">\n\n>>| **Hound Type**| **Number of puppies** |\n|:-:|:-:|\n| Beagle| 6|\n| Ridgeback| 8|\n| Bloodhound| 12|\n| Dachshund| 6|\n\n</div>\n\n<br>If one puppy is chosen at random, what is the probability it will be either a Ridgeback or a Dachshund?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $P$(R or D) \t | \\= $\\dfrac{\\text{Number of R and D}}{\\text{Total puppies}}$ |\n| | \\= $\\dfrac{8 + 6}{32}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-I3-NC16, NAPX-I2-31 - 5afae59d-5d06-4a98-a87f-14c32c42d776 - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"An ice hockey competition has six teams playing on the same day.\r\n\r\nThe table below shows the game order.\n\n<br>\n\n<div class=\"sm-table row1-color6\">\n\n>>| Game | Teams |\n|:-:|:-:|\n| 1 | Kings vs Oilers|\n| 2 | Flames vs Penguins|\n| 3 | Canucks vs Rangers|\n\n</div>\n\n<br>If no match ends in a draw, which of the following is possible?"},{"varval":"Since the Penguins and Canucks do not play each other, both can lose.\n\n$\\therefore$ Possible result: {{{correctAnswer}}}"}]},{"vars":[{"varval":"A soccer gala day has six teams playing in round one.\r\n\nMatches can end in a draw.\n\r\nThe table below shows the game order.\n\n<br>\n\n<div class=\"sm-table row1-color1\">\n\n>>| Game | Teams |\n|:-:|:-:|\n| 1 | Magpies vs Yabbies|\n| 2 | Devils vs Red Mist|\n| 3 | Lillies vs Mangroves|\n\n</div>\n\n<br>Which of the following results is not possible?"},{"varval":"Since the Mangroves and Lillies play each other, both cannot win.\n\n$\\therefore$ Impossible result: {{{correctAnswer}}}"}]}]

Statistics, NAPX-p115482v01 - 750ff68d-e859-4aa9-8c20-d53028166c9b - (June 22, 2021)

<div class="sm_mode"> A spinner can land in any of 4 sections, labelled 1 to 4. The spinner is spun 100 times and the results are recorded in the bar chart below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/01/NAPX-G2-25.svg 350 indent vpad <br> Which of these spinners is most likely to give results shown in the graph? </div>

[{"vars":null}]

Element Alignment - cff964e2-9129-4e26-904f-d5996ea3b3a4 - (June 22, 2021)

Internal test for element alignment

<div class="sm_mode"> This one is not vertically alligned ...  +  <div class="sm_img_inline"> But this one is since it is in the special div ...  +  +  =  Please check the body of this post to see how it's done. The images, are standard markdown image formats...in this case the images are local, but they can be images from teacher.smartermaths.com.au. In this case, I've picked a png, and need to change it's default size, which you would do with the following html (not markdown) syntax (that should still be in the spacial sm_img_inline div): And here is another example specifying the size ... <img src="https://teacher.smartermaths.com.au/wp-content/uploads/2021/04/RAPH10_shape1.png" alt="" width="50"/> </div> </div>

[{"vars":null}]

Measurement, NAPX-I4-NC22 SA - 61b4939b-fd68-467e-976f-659fbb2567f0 - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A plan of Petal's garden is shown below.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC22.svg 240 indent3 vpad\n\nPetal wants to irrigate her garden and needs to know the total area.\n\nWhat is the total area of Petal's garden, in square metres?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC22ans.svg 220 indent vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n| Area| = square + triangle|\n||= (6 × 5) + $\\bigg( \\dfrac{1}{2} \\times 6 \\times 3 \\bigg)$|\n||= 30 + 9|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A plan of Regina's backyard is shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v1.svg 430 indent3 vpad\n\nRegina wants to lay turf to cover the whole of her backyard and needs to know the total area.\n\n\r\nWhat is the total area of Regina's backyard, in square metres?\n"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v1_ws.svg 430 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n| Area| = square + triangle|\n||= (10 × 12) + $\\bigg( \\dfrac{1}{2} \\times 10 \\times 8 \\bigg)$|\n||= 120 + 40|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A plan of Ulk's Tibetan wall hanging is shown below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v3.svg 450 indent vpad\n\nWhat is the total area of the wall hanging, in square centimetres?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v3_ws.svg 480 indent vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n| Area| = square + triangle|\n||= (9 × 8) + $\\bigg( \\dfrac{1}{2} \\times 8 \\times 5 \\bigg)$|\n||= 72 + 20|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A plan of a floor tile is shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v4.svg 330 indent vpad\n\nPo wants to tile his bathroom using these tiles and needs to know the total area of one tile.\n\r\nWhat is the total area of Po's floor tile, in square centimetres?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v4_ws.svg 350 indent vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n| Area| = square + triangle|\n||= (18 × 6) + $\\bigg( \\dfrac{1}{2} \\times 18 \\times 3 \\bigg)$|\n||= 108 + 27|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A plan of a children's playground at a shopping centre is shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v2.svg 400 indent vpad\n\nThe centre wants to lay rubber matting in the playground and needs to know the total area.\n\nWhat at is the total area of the shopping centre's playground, in square metres?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v2_ws.svg 400 indent3 vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n| Area| = square + triangle|\n||= (10 × 7) + $\\bigg( \\dfrac{1}{2} \\times 10 \\times 4 \\bigg)$|\n||= 70 + 20|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"A plan of a first place pennant is shown below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v5.svg 600 indent vpad\n\nJax wants to make these pennants for the local pony club and needs to know the total area.\n\n\r\n\r\nWhat is the total area of the first place pennant, in square centimetres?"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-NC22-SA_v5_ws_1.svg 600 indent vpad\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n| Area| = square + triangle|\n||= (5 × 20) + $\\bigg( \\dfrac{1}{2} \\times 5 \\times 7 \\bigg)$|\n||= 100 + 17.5|\n||= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-G4-CA22 SA - 37975c58-7077-4d7c-86a4-bf9f102f26c3 - (June 22, 2021)

Awaiting full svg images for v1-5

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jerry cut a golf ball into two halves.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-G4-CA22-SA_1.svg 200 indent3 vpad\n\nThe following calculation gives the approximate volume of one half of the ball in cm$^3$.\n\n>>Volume = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\large \\pi$ $\\times\\ \\large r$$^3,$ where $\\large \\pi$ = 3.14\n\n<br>\n\nWhat volume does the calculation give, to the nearest cm³, where $\\large r$ is the radius of the ball?\n"},{"varval":"sm_nogap Radius = 2 cm\n\n<br>\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore V$| = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\times \\large \\pi$ $\\times\\ 2^3$|\n||= 16.74...|\n||$\\approx$ {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Patty cut a basketball into two halves.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA22-SA_basketball_v1.svg 190 indent3 vpad\n\nThe following calculation gives the approximate volume of one half of the ball in cm$^3$.\n\n>>Volume = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\large \\pi$ $\\times\\ \\large r$$^3,$ where $\\large \\pi$ = 3.14\n\n<br>\n\nWhat volume does the calculation give, to the nearest cm³, where $\\large r$ is the radius of the ball?\n"},{"varval":"sm_nogap Radius = 12 cm \n\n<br>\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore V$| = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\times \\large \\pi$ $\\times\\ 12^3$|\n||= 3617.28|\n||$\\approx$ {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Ricky cut a cricket ball into two halves.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA22-SA_cricketball_1.svg 200 indent3 vpad\n\nThe following calculation gives the approximate volume of one half of the ball in mm$^3$.\n\n>>Volume = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\large \\pi$ $\\times\\ \\large r$$^3,$ where $\\large \\pi$ = 3.14\n\n<br>\n\nWhat volume does the calculation give, to the nearest cm³, where $\\large r$ is the radius of the ball?\n"},{"varval":"Using 1 cm = 10 mm\n\nsm_nogap Radius = 3.6 cm \n\n<br>\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore V$| = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\times \\large \\pi$ $\\times\\ 3.6^3$|\n||= 97.66...|\n||$\\approx$ {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Becky imagined cutting a beach ball into two halves.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA22-SA_beachball_1a.svg 170 indent3 vpad\n\nThe following calculation gives the approximate volume of one half of the ball in cm$^3$.\n\n>>Volume = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\large \\pi$ $\\times\\ \\large r$$^3,$ where $\\large \\pi$ = 3.14\n\n<br>\n\nWhat volume does the calculation give, to the nearest cm³, where $\\large r$ is the radius of the ball?\n"},{"varval":"sm_nogap Radius = 25 cm \n\n<br>\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore V$| = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\times \\large \\pi$ $\\times\\ 25^3$|\n||= $32\\ 708.33...$|\n||$\\approx$ $32\\ 708$ cm$^3$|\n\n</div>"}]},{"vars":[{"varval":"Diego cut a soccer ball into two halves.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA22-SA_soccerball_1.svg 170 indent3 vpad\n\nThe following calculation gives the approximate volume of one half of the ball in cm$^3$.\n\n>>Volume = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\large \\pi$ $\\times\\ \\large r$$^3,$ where $\\large \\pi$ = 3.14\n\n<br>\n\nWhat volume does the calculation give, to the nearest cm³, where $\\large r$ is the radius of the ball?"},{"varval":"sm_nogap Radius = 11 cm \n\n<br>\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore V$| = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\times \\large \\pi$ $\\times\\ 11^3$|\n||= 2786.22...|\n||$\\approx$ {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Cher cut a mirror ball into two halves.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-G4-CA22-SA_mirrorball_1.svg 170 indent3 vpad\n\nThe following calculation gives the approximate volume of one half of the ball in cm$^3$.\n\n>>Volume = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\large \\pi$ $\\times\\ \\large r$$^3,$ where $\\large \\pi$ = 3.14\n\n<br>\n\nWhat volume does the calculation give, to the nearest cm³, where $\\large r$ is the radius of the ball?"},{"varval":"sm_nogap Radius = 40 cm \n\n<br>\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore V$| = $\\dfrac{1}{2} \\times \\dfrac{4}{3} \\times \\large \\pi$ $\\times\\ 40^3$|\n||= 133 973.33...|\n||= 133 973 {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-J3-CA34 SA - 042c5a66-56d0-4a43-8d0d-c03f04635c9d - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Brigit made a shape using 6 identical squares.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-J3-CA34-SA.svg 170 indent3 vpad\n\n<br>What is the perimeter of the shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Side length of 1 square | \\= $\\dfrac{24}{3}$ |\n| | \\= 8 cm |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= (10 × 8) + (4 × 4)|\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Carl made a shape using 10 identical squares.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-J3-CA34-SA_v1.svg 300 indent3 vpad\n\n<br>What is the perimeter of the shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Side length of 1 square | \\= $\\dfrac{44}{4}$ |\n| | \\= 11 cm |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= (13 × 11) + (6 × 5.5)|\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Adele made a shape using 15 identical squares.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-J3-CA34-SA_v2.svg 290 indent3 vpad\n\n<br>What is the perimeter of the shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Side length of 1 square | \\= $\\dfrac{90}{5}$ |\n| | \\= 18 cm |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= (16 × 18) + (8 × 9)|\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Michael made a shape using 21 identical squares.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-J3-CA34-SA_v3.svg 320 indent3 vpad\n\n<br>What is the perimeter of the shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Side length of 1 square | \\= $\\dfrac{54}{6}$ |\n| | \\= 9 cm |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= (19 × 9) + (10 × 4.5)|\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Elton made a shape using 10 identical squares.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-J3-CA34-SA_v4.svg 270 indent3 vpad\n\n<br>What is the perimeter of the shape?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Side length of 1 square | \\= $\\dfrac{16.8}{4}$ |\n| | \\= 4.2 cm |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= (13 × 4.2) + (6 × 2.1)|\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Dione made a shape using 10 identical squares.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-J3-CA34-SA_v5.svg 270 indent2 vpad\n\n<br>What is the perimeter of the shape?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Side length of 1 square | \\= $\\dfrac{12.6}{3}$ |\n| | \\= 4.2 cm |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= (10 × 4.2) + (4 × 2.1)|\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]}]

Measurement, NAPX-I3-CA25 - e78ece11-9cb6-4a23-9032-d9f6f61f733e - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The rectangular prism, pictured below, has a volume of 19 000 cm³ and a height of 25 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-CA252.svg 240 indent3 vpad\n\n<br>What could be the length and width of the prism?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $V$ | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 19 000 | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ 25$|\n| 760| \\= $\\large l$ $\\times\\ \\large w$|\n|| \\= 40 $\\times$ 19 $\\checkmark$ (check options)|\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The rectangular prism, pictured below, has a volume of 13 056 cm³ and a height of 32 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v1.svg 300 indent3 vpad\n\n<br>What could be the length and width of the prism?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $V$ | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 13 056 | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ 32$|\n| 408| \\= $\\large l$ $\\times\\ \\large w$|\n|| \\= 24 $\\times$ 17 $\\checkmark$ (check options)|\n\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The rectangular prism, pictured below, has a volume of 6555 cm³ and a length of 23 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v2.svg 260 indent3 vpad\n\n<br>What could be the height and width of the prism?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $V$ | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 6555 | \\= 23 $\\times\\ \\large w$ $\\times\\large h$|\n| 285| \\= $\\large w$ $\\times\\ \\large h$|\n|| \\= 19 $\\times$ 15 $\\checkmark$ (check options)|\n\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The rectangular prism, pictured below, has a volume of 56 848 m³ and a height of 22 m.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v3.svg 420 indent3 vpad\n\n<br>What could be the length and width of the prism?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $V$ | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 56 848 | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ 22$|\n| 2584| \\= $\\large l$ $\\times\\ \\large w$|\n|| \\= 65 $\\times$ 38 $\\checkmark$ (check options)|\n\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The rectangular prism, pictured below, has a volume of 1200 m³ and a length of 10 m.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v4.svg 250 indent3 vpad\n\n<br>What could be the width and height of the prism?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $V$ | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 1200 | \\= 10 $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 120| \\= $\\large w$ $\\times\\ \\large h$|\n|| \\= 8 $\\times$ 15 $\\checkmark$ (check options)|\n\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"The rectangular prism, pictured below, has a volume of 392 mm³ and a length of 14 mm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA25_v5.svg 370 indent3 vpad\n\n<br>What could be the width and height of the prism?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------: | -------------- |\n| $V$ | \\= $\\large l$ $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 392 | \\= 14 $\\times\\ \\large w$ $\\times\\ \\large h$|\n| 28| \\= $\\large w$ $\\times\\ \\large h$|\n|| \\= 7 $\\times$ 4 $\\checkmark$ (check options)|\n\n\n</div>\n\n<br>\n\n$\\therefore$ {{{correctAnswer}}}\n"}]}]

Measurement, NAPX-F4-CA21 - 6b99437b-fef8-4cda-bb74-1a4299fd2bbe - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A cube has a side length of 8 cm.\n\r\nTwo smaller cubes of side length 4 cm are attached to the larger cube as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/naplan-2013-21mc-300x207.png 240 indent vpad\n\n<br>Including the base, what is the surface area of the new object?"},{"varval":"One strategy:\n\n\r\nCalculate the surface area (S.A.) of each object\r\nthen deduct the faces not showing.\r\n \r\n\r\nS.A. (large cube) = 6 × 8 × 8 = 384 cm$^2$\n\n\r\nS.A. (small cube) = 6 × 4 × 4 = 96 cm$^2$\n\n\r\nS.A. (sides not showing) = 6 × (4 × 4) = 96 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Total S.A.\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 384 + (2 × 96) − 96|\n|= {{{correctAnswer}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A cube has a side length of 6 cm.\n\r\nFour smaller cubes of side length 3 cm are attached to the larger cube as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA21_v1.svg 240 indent vpad\n\n<br>Including the base, what is the surface area of the new object?"},{"varval":"One strategy:\n\n\r\nCalculate the surface area (S.A.) of each object\r\nthen deduct the faces not showing.\r\n \r\n\r\nS.A. (large cube) = 6 × 6 × 6 = 216 cm$^2$\n\n\r\nS.A. (small cube) = 6 × 3 × 3 = 54 cm$^2$\n\n\r\nS.A. (sides not showing) = 12 × (3 × 3) = 108 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Total S.A.\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 216 + (4 × 54) − 108|\n|= {{{correctAnswer}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A cube has a side length of 20 cm.\n\r\nTwo smaller cubes of side length 10 cm are attached to the larger cube as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA21_v2.svg 240 indent vpad\n\n<br>Including the base, what is the surface area of the new object?"},{"varval":"One strategy:\n\n\r\nCalculate the surface area (S.A.) of each object\r\nthen deduct the faces not showing.\r\n \r\n\r\nS.A. (large cube) = 6 × 20 × 20 = 2400 cm$^2$\n\n\r\nS.A. (small cube) = 6 × 10 × 10 = 600 cm$^2$\n\n\r\nS.A. (sides not showing) = 6 × (10 × 10) = 600 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Total S.A.\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 2400 + (2 × 600) − 600|\n|= {{{correctAnswer}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A cube has a side length of 10 cm.\n\r\nFour smaller cubes of side length 5 cm are attached to the larger cube as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA21_v3.svg 240 indent vpad\n\n<br>Including the base, what is the surface area of the new object?"},{"varval":"One strategy:\n\n\r\nCalculate the surface area (S.A.) of each object\r\nthen deduct the faces not showing.\r\n \r\n\r\nS.A. (large cube) = 6 × 10 × 10 = 600 cm$^2$\n\n\r\nS.A. (small cube) = 6 × 5 × 5 = 150 cm$^2$\n\n\r\nS.A. (sides not showing) = 12 × (5 × 5) = 300 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Total S.A.\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 600 + (4 × 150) − 300|\n|= {{{correctAnswer}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A cube has a side length of 14 cm.\n\r\nTwo smaller cubes of side length 7 cm are attached to the larger cube as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA21_v4.svg 240 indent vpad\n\n<br>Including the base, what is the surface area of the new object?"},{"varval":"One strategy:\n\n\r\nCalculate the surface area (S.A.) of each object\r\nthen deduct the faces not showing.\r\n \r\n\r\nS.A. (large cube) = 6 × 14 × 14 = 1176 cm$^2$\n\n\r\nS.A. (small cube) = 6 × 7 × 7 = 294 cm$^2$\n\n\r\nS.A. (sides not showing) = 4 × (7 × 7) = 196 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Total S.A.\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 1176 + (2 × 294) − 196|\n|= {{{correctAnswer}}}|\n\r\n\r\n\n</div>"}]},{"vars":[{"varval":"A cube has a side length of 8 cm.\n\r\nThree smaller cubes of side length 4 cm are attached to the larger cube as shown in the diagram below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA21_v5.svg 240 indent vpad\n\n<br>Including the base, what is the surface area of the new object?"},{"varval":"One strategy:\n\n\r\nCalculate the surface area (S.A.) of each object\r\nthen deduct the faces not showing.\r\n \r\n\r\nS.A. (large cube) = 6 × 8 × 8 = 384 cm$^2$\n\n\r\nS.A. (small cube) = 6 × 4 × 4 = 96 cm$^2$\n\n\r\nS.A. (sides not showing) = 6 × (4 × 4) = 96 cm$^2$\r\n \r\n\r\nsm_nogap $\\therefore$ Total S.A.\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 384 + (3 × 96) − 96|\n|= {{{correctAnswer}}}|\n\r\n\r\n\n</div>"}]}]

Measurement, NAPX-I4-CA17 - c943b60b-cbc6-42d0-a10b-03ae95fea82a - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A child's bicycle wheel has a radius of 260 mm.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA17.svg 200 indent vpad\n\nThe wheel turns 8 times.\n\n\r\n\r\nUsing $\\large \\pi$ = 3.14, approximately how many metres has the bicycle travelled?\n"},{"varval":"Using 1 m = 1000 mm\n\nsm_nogap Distance (8 circumferences)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 8 × (2$\\large \\pi r$)|\n|= 8 × 2 × $\\large \\pi$ × 0.26|\n|= 13.06... m|\n|= {{{correctAnswer}}} (nearest metre)|\n\n</div>"}]},{"vars":[{"varval":"A child's bicycle wheel has a radius of 365 mm.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v1.svg 200 indent vpad\n\nThe wheel turns 5 times.\n\n\r\n\r\nUsing $\\large \\pi$ = 3.14, approximately how many metres has the bicycle travelled?\n"},{"varval":"Using 1 m = 1000 mm\n\nsm_nogap Distance (5 circumferences)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 5 × (2$\\large \\pi r$)|\n|= 5 × 2 × $\\large \\pi$ × 0.365|\n|= 11.461 m|\n|= {{{correctAnswer}}} (nearest metre)|\n\n</div>"}]},{"vars":[{"varval":"A child's scooter wheel has a radius of 130 mm.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v2.svg 200 indent vpad\n\nThe wheel turns 15 times.\n\n\r\n\r\nUsing $\\large \\pi$ = 3.14, approximately how many metres has the scooter travelled?\n"},{"varval":"Using 1m = 1000 mm\n\nsm_nogap Distance (15 circumferences)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 15 × (2$\\large \\pi r$)|\n|= 15 × 2 × $\\large \\pi$ × 0.13|\n|= 12.246 m|\n|= {{{correctAnswer}}} (nearest metre)|\n\n</div>"}]},{"vars":[{"varval":"A wheelchair has a wheel that has a radius of 400 mm.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v3.svg 200 indent vpad\n\nThe wheel turns 125 times.\n\n\r\n\r\nApproximately how many metres has the wheelchair travelled?\n"},{"varval":"Using 1m = 1000 mm\n\nsm_nogap Distance (125 circumferences)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 125 × (2$\\large \\pi r$)|\n|= 125 × 2 × $\\large \\pi$ × 0.4|\n|= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"A mountain bike wheel has a radius of 330 mm.\r\n\r\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v4.svg 200 indent vpad\n\nThe wheel turns 48 times.\n\n\r\n\r\nUsing $\\large \\pi$ = 3.14, approximately how many metres has the mountain bike travelled?\n"},{"varval":"sm_nogap Distance (48 circumferences)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 48 × (2$\\large \\pi r$)|\n|= 48 × 2 × $\\large \\pi$ × 0.33|\n|= 99.4752 m|\n|= {{{correctAnswer}}} (nearest metre)|\n\n</div>"}]},{"vars":[{"varval":"A road bike has a wheel that has a radius of 360 mm.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v5.svg 200 indent vpad\n\nThe wheel turns 100 times.\n\n\r\n\r\nUsing $\\large \\pi$ = 3.14, approximately how many metres has the road bike travelled?\n"},{"varval":"Using 1m = 1000 mm\n\nsm_nogap Distance (100 circumferences)\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 100 × (2$\\large \\pi r$)|\n|= 100 × 2 × $\\large \\pi$ × 0.36|\n|= 226.08 m|\n|= {{{correctAnswer}}} (nearest metre)|\n\n</div>"}]}]

Measurement, NAPX-L4-CA14 o2 - e3846561-5e72-4e5a-ad08-86b127f80c1c - (June 22, 2021)

Measurement, NAPX-L4-CA14 o1

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Clarence used the tile pictured below to pave his garden path.\n\r\nAltogether, he used 1000 tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v0_nts.svg 250 indent vpad\n\n<br>What is the total area of Clarence's garden path in square metres?"},{"varval":"<div class=\"sm_mode\">\n\nConvert cm to metres:\n\n\r\n10 cm = 0.1 m\n\n\r\n5 cm = 0.05 m\n\r\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 tile| = 0.1$^2$ − 0.05$^2$|\n||= 0.0075 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area of garden path| = 0.0075 × 1000|\n||= {{{correctAnswer}}}|\n\n</div>\n\n</div>\n\r\n\r\n\r"}]},{"vars":[{"varval":"Aaron used the tile pictured below to pave his back deck.\n\r\nAltogether, he used 1000 tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v1_nts.svg 250 indent vpad\n\n<br>What is the total area of Aaron's back deck in square metres?"},{"varval":"<div class=\"sm_mode\">\n\nConvert cm to metres:\n\n\r\n14 cm = 0.14 m\n\n\r\n7 cm = 0.07 m\n\r\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 tile| = 0.14$^2$ − 0.07$^2$|\n||= 0.0147 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area of deck| = 0.0147 × 1000|\n||= {{{correctAnswer}}}|\n\n</div>\n\n</div>\n\n\r\n\r\n\r"}]},{"vars":[{"varval":"Polly used the tile pictured below to tile her loungeroom floor.\n\r\nAltogether, she used 150 tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v2_nts.svg 370 indent vpad\n\n<br>What is the total area of Polly's loungeroom in square metres?"},{"varval":"<div class=\"sm_mode\">\n\nConvert cm to metres:\n\n\r\n30 cm = 0.3 m\n\n\r\n15 cm = 0.15 m\n\r\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 tile| = 0.3$^2$ − 0.15$^2$|\n||= 0.0675 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area of loungeroom | = 0.0675 × 150|\n||= {{{correctAnswer}}}|\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Ainsley used the tile pictured below to tile her kitchen floor.\n\r\nAltogether, she used 1500 tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v3_nts.svg 320 indent vpad\n\n<br>What is the total area of Ainsley's kitchen floor in square metres?"},{"varval":"<div class=\"sm_mode\">\n\nConvert cm to metres:\n\n\r\n8 cm = 0.08 m\n\n\r\n4 cm = 0.04 m\n\r\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 tile| = 0.08$^2$ − 0.04$^2$|\n||= 0.0048 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area of kitchen | = 0.0048 × 1500|\n||= {{{correctAnswer}}}|\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Bora used the tile pictured below to tile his tool shed floor.\n\r\nAltogether, he used 1200 tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v4_nts.svg 370 indent vpad\n\n<br>What is the total area of Bora's tool shed floor in square metres?"},{"varval":"<div class=\"sm_mode\">\n\nConvert cm to metres:\n\n\r\n6 cm = 0.06 m\n\n\r\n3 cm = 0.03 m\n\r\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 tile| = 0.06$^2$ − 0.03$^2$|\n||= 0.0027 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area of tool shed | = 0.0027 × 1200|\n||= {{{correctAnswer}}}|\n\n</div>\n\n</div>"}]},{"vars":[{"varval":"Binky used the paver pictured below to pave her pool area.\n\r\nAltogether, she used 50 tiles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA14-o2_v5_nts.svg 300 indent3 vpad\n\n<br>What is the total area of Binky's pool area in square metres?"},{"varval":"<div class=\"sm_mode\">\n\nConvert cm to metres:\n\n\r\n60 cm = 0.6 m\n\n\r\n30 cm = 0.3 m\n\r\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of 1 paver| = 0.6$^2$ − 0.3$^2$|\n||= 0.27 m$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Area of pool area | = 0.27 × 50|\n||= {{{correctAnswer}}}|\n\n</div>\n\n</div>"}]}]

Measurement, NAPX-L4-CA13 o2 - e0ab7c4c-0c4b-4230-b5aa-c6deb11c712c - (June 22, 2021)

Measurement, NAPX-L4-CA13 o1

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Kellogg creates a rectangular prism by stacking 8 identical triangular prisms together.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-LA-CA13-o2.svg 180 indent3 vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------:| -------------- |\n| Total volume\t | \\= 28 × 13 × 18 |\n| | \\= 6552 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------: | -------------- |\n| $\\therefore$ Volume of 1 prism | \\= $\\dfrac{6552}{8}$ |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Ellie creates a rectangular prism by stacking 8 identical triangular prisms together.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-LA-CA13-o1.svg 180 indent3 vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Total volume\t | \\= 24 × 20 × 30 |\n| | \\= 14 400 cm$^3$ |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Volume of 1 prism | \\= $\\dfrac{14\\ 400}{8}$ |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Groot creates a rectangular prism by stacking 12 identical triangular prisms together.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2.svg 320 indent vpad\n\n<br>What is the volume of one triangular prism, in cubic centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------:| -------------- |\n| Total volume\t | \\= 9 × 4 × 5 |\n| | \\= 180 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------: | -------------- |\n| $\\therefore$ Volume of 1 prism | \\= $\\dfrac{180}{12}$ |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Sienna creates a rectangular prism by stacking 16 identical triangular prisms together.\n\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2_v3.svg 320 indent2 vpad\n\nWhat is the volume of one triangular prism, in cubic centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------:| -------------- |\n| Total volume\t | \\= 36 × 8 × 12 |\n| | \\= 3456 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------: | -------------- |\n| $\\therefore$ Volume of 1 prism | \\= $\\dfrac{3456}{16}$ |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Simone creates a rectangular prism by stacking 24 identical triangular prisms together.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2_v4.svg 530 indent vpad\n\nWhat is the volume of one triangular prism, in cubic centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------:| -------------- |\n| Total volume\t | \\= 14 × 21 × 10 |\n| | \\= 2940 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------: | -------------- |\n| $\\therefore$ Volume of 1 prism | \\= $\\dfrac{2940}{24}$ |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Celeste creates a rectangular prism by stacking 10 identical triangular prisms together.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-L4-CA13-o2_v5a.svg 440 indent vpad\n\nWhat is the volume of one triangular prism, in cubic centimetres?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------:| -------------- |\n| Total volume\t | \\= 7 × 28 × 12 |\n| | \\= 2352 |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| ---------------------: | -------------- |\n| $\\therefore$ Volume of 1 prism | \\= $\\dfrac{2352}{10}$ |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX-J4-CA16 - a2073e9c-47cd-4f78-9cb5-a7240626d4df - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Wyatt is designing a rectangular lawn for a landscaping project.\n\n\r\n\r\nHe wants the lawn to be at least 400 square metres.\n\n\r\n\r\nHe has marked out two sides, each 25.5 metres in length.\n\n\r\n\r\nWhat is the smallest possible length of each of the other two sides, rounded to one decimal place?"},{"varval":"sm_nogap Smallest possible length\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 400 ÷ 25.5|\n|= 15.68…|\n|= {{{correctAnswer}}}|\n\n</div>\n\r\n\r\n \r<br>\n\r\nNote: this distance must be rounded up due to the\r\ncontext of the question (area “at least” 400 m$^2$)."}]},{"vars":[{"varval":"Ruth is designing a rectangular quilt for a sewing project.\n\n\r\n\r\nShe wants the quilt to be at least 83 700 square centimetres.\n\n\r\n\r\nShe has marked out two sides, each 274 centimetres in length.\n\n\r\n\r\nWhat is the smallest possible length of each of the other two sides, rounded to one decimal place?"},{"varval":"sm_nogap Smallest possible length\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 83 700 ÷ 274|\n|= 305.47…|\n|= {{{correctAnswer}}}|\n\n</div>\n\r\n\r\n \r<br>\n\r\nNote: this distance must be rounded up due to the\r\ncontext of the question (area “at least” 83 700 cm$^2$)."}]},{"vars":[{"varval":"Jim is making a rectangular cut of plywood for a carpentry project.\n\n\r\n\r\nHe wants the plywood to be at least 7.36 square metres.\n\n\r\n\r\nHe has marked out two sides, each 2.4 metres in length.\n\n\r\n\r\nWhat is the smallest possible length of each of the other two sides, rounded to one decimal place?"},{"varval":"sm_nogap Smallest possible length\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 7.36 ÷ 2.4|\n|= 3.066…|\n|= {{{correctAnswer}}}|\n\n</div>\n\r\n\r\n \r<br>\n\r\nNote: this distance must be rounded up due to the\r\ncontext of the question (area “at least” 7.36 m$^2$)."}]},{"vars":[{"varval":"Bryn is marking out a rectangular area for his stall at the markets.\n\n\r\n\r\nHe wants the area to be at least 80 square metres.\n\n\r\n\r\nHe has marked out two sides, each 12 metres in length.\n\n\r\n\r\nWhat is the smallest possible length of each of the other two sides, rounded to one decimal place?"},{"varval":"sm_nogap Smallest possible length\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 80 ÷ 12|\n|= 6.66…|\n|= {{{correctAnswer}}}|\n\n</div>\n\r\n\r\n \r<br>\n\r\nNote: this distance must be rounded up due to the\r\ncontext of the question (area “at least” 80 m$^2$)."}]},{"vars":[{"varval":"Emile is marking out a rectangular area for his new pool.\n\n\r\n\r\nHe wants the area to be at least 45 square metres.\n\n\r\n\r\nHe has marked out two sides, each 9.5 metres in length.\n\n\r\n\r\nWhat is the smallest possible length of each of the other two sides, rounded to one decimal place?"},{"varval":"sm_nogap Smallest possible length\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 45 ÷ 9.5|\n|= 4.73…|\n|= {{{correctAnswer}}}|\n\n</div>\n\r\n\r\n \r<br>\n\r\nNote: this distance must be rounded up due to the\r\ncontext of the question (area “at least” 45 m$^2$)."}]},{"vars":[{"varval":"Monique is painting a rectangular mural on a wall and is marking out its dimensions.\n\n\r\n\r\nShe wants the area of the mural to be at least 60 square metres.\n\n\r\n\r\nShe has marked out two sides, each 18 metres in length.\n\n\r\n\r\nWhat is the smallest possible length of each of the other two sides, rounded to one decimal place?"},{"varval":"sm_nogap Smallest possible length\n\n<div class=\"aligned\">\n\n>>||\n|-|\n|= 60 ÷ 18|\n|= 3.33…|\n|= {{{correctAnswer}}}|\n\n</div>\n\r\n\r\n \r<br>\n\r\nNote: this distance must be rounded up due to the\r\ncontext of the question (area “at least” 60 m$^2$)."}]}]

Measurement, NAPX-F4-CA08 - dc2c14a3-aa31-4bb0-9ce2-f626a77d25cd - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A trapezium is constructed on a grid of 10 rectangles.\n\r\nEach rectangle measures 3 cm × 7 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-CA08.svg 240 indent3 vpad\n\n<br>What is the area of the trapezium?"},{"varval":"<div class=\"aligned\">\n\nStrategy 1\n\n|||\n|-|-|\n|Area 1 rectangle|= 3 × 7|\n||= 21 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total Area|= (6 × 21) + 2 triangles|\n||= 126 + 2 × $\\bigg( \\dfrac{1}{2} \\times 3 \\times 14 \\bigg)$|\n||= 126 + 42|\n||= {{{correctAnswer}}}|\n\n</div>\n\n<br>\n\nStrategy 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of trapezium|= $\\dfrac{1}{2} \\times$ height $\\times\\ (\\large a$ + $\\large b$)|\n||= $\\dfrac{1}{2} \\times 14 \\times (9+15)$|\n||= $7 \\times 24$|\n||= {{{correctAnswer}}}|\n\n</div>\n\r\n"}]},{"vars":[{"varval":"A trapezium is constructed on a grid of 28 rectangles.\n\r\nEach rectangle measures 2 cm × 6 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA08_v1.svg 240 indent3 vpad\n\n<br>What is the area of the trapezium?"},{"varval":"<div class=\"aligned\">\n\nStrategy 1\n\n|||\n|-|-|\n|Area 1 rectangle|= 2 × 6|\n||= 12 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total Area|= (12 × 12) + 2 triangles|\n||= 144 + 2 × $\\bigg( \\dfrac{1}{2} \\times 4 \\times 24 \\bigg)$|\n||= 144 + 96|\n||= {{{correctAnswer}}}|\n\n</div>\n\n<br>\n\nStrategy 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of trapezium|= $\\dfrac{1}{2} \\times$ height $\\times\\ (\\large a$ + $\\large b$)|\n||= $\\dfrac{1}{2} \\times 24 \\times (14+6)$|\n||= $12 \\times 20$|\n||= {{{correctAnswer}}}|\n\n</div>\n\r\n"}]},{"vars":[{"varval":"A trapezium is constructed on a grid of 16 rectangles.\n\r\nEach rectangle measures 3 cm × 5 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA08_v3.svg 240 indent3 vpad\n\n<br>What is the area of the trapezium?"},{"varval":"<div class=\"aligned\">\n\nStrategy 1\n\n|||\n|-|-|\n|Area 1 rectangle|= 5 × 3|\n||= 15 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total Area|= (8 × 15) + 2 triangles|\n||= 120 + 2 × $\\bigg( \\dfrac{1}{2} \\times 5 \\times 12 \\bigg)$|\n||= 120 + 60|\n||= {{{correctAnswer}}}|\n\n</div>\n\n<br>\n\nStrategy 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of trapezium|= $\\dfrac{1}{2} \\times$ height $\\times\\ (\\large a$ + $\\large b$)|\n||= $\\dfrac{1}{2} \\times 12 \\times (20+10)$|\n||= $6 \\times 30$|\n||= {{{correctAnswer}}}|\n\n</div>\n\r\n"}]},{"vars":[{"varval":"A trapezium is constructed on a grid of 24 rectangles.\n\r\nEach rectangle measures 4 cm × 7 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA08_v2.svg 240 indent3 vpad\n\n<br>What is the area of the trapezium?"},{"varval":"<div class=\"aligned\">\n\nStrategy 1\n\n|||\n|-|-|\n|Area 1 rectangle|= 4 × 7|\n||= 28 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total Area|= (18 × 28) + 2 triangles|\n||= 504 + 2 × $\\bigg( \\dfrac{1}{2} \\times 4 \\times 21 \\bigg)$|\n||= 504 + 84|\n||= {{{correctAnswer}}}|\n\n</div>\n\n<br>\n\nStrategy 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of trapezium|= $\\dfrac{1}{2} \\times$ height $\\times\\ (\\large a$ + $\\large b$)|\n||= $\\dfrac{1}{2} \\times 21 \\times (32+24)$|\n||= $10.5 \\times 56$|\n||= {{{correctAnswer}}}|\n\n</div>\n\r\n"}]},{"vars":[{"varval":"A trapezium is constructed on a grid of 21 rectangles.\n\r\nEach rectangle measures 4 cm × 10 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA08_v4.svg 240 indent3 vpad\n\n<br>What is the area of the trapezium?"},{"varval":"<div class=\"aligned\">\n\nStrategy 1\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA08_v4_ws.svg 260 indent3 vpad\n\n|||\n|-|-|\n|Area 1 rectangle|= 4 × 10|\n||= 40 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total Area|= (9 × 40) + triangle 1 + triangle 2|\n||= 9 × 40 + $\\bigg( \\dfrac{1}{2} \\times 4 \\times 30 \\bigg)$ + $\\bigg( \\dfrac{1}{2} \\times 12 \\times 30 \\bigg)$|\n||= 360 + 60 + 180|\n||= {{{correctAnswer}}}|\n\n</div>\n\n<br>\n\nStrategy 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of trapezium|= $\\dfrac{1}{2} \\times$ height $\\times\\ (\\large a$ + $\\large b$)|\n||= $\\dfrac{1}{2} \\times 30 \\times (28+12)$|\n||= $15 \\times 40$|\n||= {{{correctAnswer}}}|\n\n</div>\n\r\n"}]},{"vars":[{"varval":"A trapezium is constructed on a grid of 28 rectangles.\n\r\nEach rectangle measures 3 cm × 5 cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA08_v5.svg 240 indent3 vpad\n\n<br>What is the area of the trapezium?"},{"varval":"<div class=\"aligned\">\n\nStrategy 1\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-F4-CA08_v5_ws.svg 260 indent3 vpad\n\n|||\n|-|-|\n|Area 1 rectangle|= 3 × 5|\n||= 15 cm$^2$|\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|$\\therefore$ Total Area|= (8 × 15) + triangle 1 + triangle 2|\n||= 8 × 15 + $\\bigg( \\dfrac{1}{2} \\times 9 \\times 20 \\bigg)$ + $\\bigg( \\dfrac{1}{2} \\times 6 \\times 20 \\bigg)$|\n||= 120 + 90 + 60|\n||= {{{correctAnswer}}}|\n\n</div>\n\n<br>\n\nStrategy 2 (advanced)\n\n<div class=\"aligned\">\n\n|||\n|-|-|\n|Area of trapezium|= $\\dfrac{1}{2} \\times$ height $\\times\\ (\\large a$ + $\\large b$)|\n||= $\\dfrac{1}{2} \\times 20 \\times (21+6)$|\n||= $10 \\times 27$|\n||= {{{correctAnswer}}}|\n\n</div>\n\r\n"}]}]

Measurement, NAPX-H4-CA07 - 67af3ba1-d985-456f-90ca-0b4e5063a5cc - (June 22, 2021)

<div class="sm_mode"> A large box is square on the bottom and twice as high as it is long. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-H4-CA071.svg 220 indent3 vpad <br>Which of these is the closest estimate for the maximum number of smaller cubes that could be packed into the large box? </div>

[{"vars":null}]

Measurement, NAPX-p169635v01 - 74bce815-9df9-4bef-8d1d-4cb7aaaa270f - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Two circles have radii of different lengths.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/RAPH10_62.svg 280 indent vpad\n\n<br>The larger circle’s radius is 3.5 times the radius of the smaller circle.\n\n\r\n\r\nWhich of the following is the circumference of the larger circle?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Large radius\t | \\= 6 × 3.5 |\n| | \\= 21 cm |\n\n</div>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Circumference| \\= 2 × $\\large \\pi$ × $R$ |\n| | \\= 2 × $\\large \\pi$ × 21 |\n|| \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Two circles have radii of different lengths.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-p169635v01_v1a.svg 330 indent3 vpad\n\n\n<br>The larger circle’s radius is 1.5 times the radius of the smaller circle.\n\n\r\n\r\nWhich of the following is the circumference of the larger circle?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Large radius\t | \\= 4 × 1.5 |\n| | \\= 6 cm |\n\n</div>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Circumference| \\= 2 × $\\large \\pi$ × $R$ |\n| | \\= 2 × $\\large \\pi$ × 6 |\n|| \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Two circles have radii of different lengths.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-p169635v01_v2a.svg 400 indent vpad\n\n<br>The larger circle’s radius is 2.5 times the radius of the smaller circle.\n\n\r\n\r\nWhich of the following is the circumference of the larger circle?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Large radius\t | \\= 10 × 2.5 |\n| | \\= 25 m |\n\n</div>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Circumference| \\= 2 × $\\large \\pi$ × $R$ |\n| | \\= 2 × $\\large \\pi$ × 25 |\n|| \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Two circles have radii of different lengths.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-p169635v01_v3a_2.svg 330 indent vpad\n\n<br>The smaller circle’s radius is one quarter the radius of the larger circle.\n\n\r\n\r\nWhich of the following is the circumference of the smaller circle?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Large radius\t | \\= 12 × 0.25 |\n| | \\= 3 cm |\n\n</div>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Circumference| \\= 2 × $\\large \\pi$ × $r$ |\n| | \\= 2 × $\\large \\pi$ × 3 |\n|| \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Two circles have radii of different lengths.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-p169635v01_v4a_2.svg 360 indent vpad\n\n<br>The smaller circle’s radius is two-thirds the radius of the larger circle.\n\n\r\n\r\nWhich of the following is the circumference of the smaller circle?\n\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Large radius\t | \\= 15 × $\\dfrac{2}{3}$ |\n| | \\= 10 cm |\n\n</div>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Circumference| \\= 2 × $\\large \\pi$ × $\\large r$ |\n| | \\= 2 × $\\large \\pi$ × 10 |\n|| \\= {{{correctAnswer}}}|\n\n</div>\n"}]},{"vars":[{"varval":"Two concentric circles are shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-p169635v01_v5a.svg 330 indent vpad\n\n<br>The larger circle’s radius is one and one-third times the radius of the smaller circle.\n\n\r\n\r\nWhich of the following is the circumference of the larger circle?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Large radius\t | \\= 21 × $\\dfrac{4}{3}$ |\n| | \\= 28 cm |\n\n</div>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ Circumference| \\= 2 × $\\large \\pi$ × $R$ |\n| | \\= 2 × $\\large \\pi$ × 28 |\n|| \\= {{{correctAnswer}}}|\n\n</div>\n"}]}]

Measurement, NAPX-I3-CA11 - a07912fb-37db-485a-874a-fdb0e3f42ffe - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A hexagon with equal sides is drawn below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-CA11.svg 100 indent vpad\n\n5 identical hexagons are connected as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/naplan-Y7-2016-11mci-223x300.png 240 indent vpad\n\nWhat is the perimeter of the larger shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= Number of sides × 9.5 |\n| | \\= 22 × 9.5 |\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A octagon with equal sides is drawn below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v1a.svg 155 indent vpad\n\n6 identical octagons are connected as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v1.svg 320 indent vpad\n\nWhat is the perimeter of the larger shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= Number of sides × 7.5 |\n| | \\= 38 × 7.5 |\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A pentagon with equal sides is drawn below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v2b.svg 100 indent3 vpad\n\n5 identical pentagons are connected as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v2.svg 180 indent3 vpad\n\nWhat is the perimeter of the larger shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= Number of sides × 3.5 |\n| | \\= 17 × 3.5 |\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A decagon with equal sides is drawn below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v3a.svg 160 indent3 vpad\n\n5 identical decagons are connected as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v3.svg 340 indent3 vpad\n\nWhat is the perimeter of the larger shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= Number of sides × 4.5 |\n| | \\= 42 × 4.5 |\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A hexagon with equal sides and an equilateral triangle are drawn below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v4a.svg 150 indent3 vpad\n\n3 identical hexagons and 8 identical equilateral triangles are connected as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v4.svg 300 indent3 vpad\n\nWhat is the perimeter of the larger shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= Number of sides × 8.5 |\n| | \\= 22 × 8.5 |\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]},{"vars":[{"varval":"A heptagon with equal sides is drawn below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v5a.svg 100 indent3 vpad\n\n6 identical heptagons are connected as shown in the diagram below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v5.svg 400 indent3 vpad\n\nWhat is the perimeter of the larger shape?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Perimeter | \\= Number of sides × 5.5 |\n| | \\= 32 × 5.5 |\n|| \\= {{{correctAnswer}}}|\n\n</div>"}]}]

Measurement, NAPX-E3-CA03 - 3f5f74f3-88d5-4e1a-aa8a-1e16a3a54e55 - (June 22, 2021)

<div class="sm_mode"> A junior soccer oval is marked out with the dimensions shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-E3-CA03.svg 520 indent vpad What is the area of the field? </div>

[{"vars":null}]

Statistics and Probability, NAPX-G3-NC16 - 926e3bb6-3291-4a74-8cda-c171b27a2af5 - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Zachary has a bag of marbles.\r\n\r\nThe number of marbles of each colour is recorded in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| Colour | Number of marbles |\n|:-:|:-:|\n| green | 13|\n| blue | 2|\n| white | 3|\n| red | 9|\n\n</div>\n\n<br>Zachary randomly takes 1 marble out of his bag without looking.\r\n\r\nWhat is the chance it is red?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $P$(red) | \\= $\\dfrac{\\text{Number of red marbles}}{\\text{Total marbles}}$ |\n| | \\= $\\dfrac{9}{27}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Blinky is blowing up balloons for a birthday party.\r\n\r\nThe number of blown up balloons of each colour is recorded in the table below.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| Colour | Number of balloons |\n|:-:|:-:|\n| white | 11|\n| purple | 7|\n| orange | 6|\n| yellow | 9|\n\n</div>\n\n<br>Blinky picks one balloon without looking and gives it to the first person who arrives at the party.\n\r\nWhat is the chance it is white?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $P$(white) | \\= $\\dfrac{\\text{Number of white balloons}}{\\text{Total balloons}}$ |\n| | \\= $\\dfrac{11}{33}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-I3-CA07 - 4199b3bb-1f14-42f3-9196-f7a6832a99e8 - (June 22, 2021)

<div class="sm_mode"> Bennett creates a game with the spinner shown below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/NAP-I3-CA07.svg 200 indent3 vpad <br>If the spinner lands on a 2, he wins a prize. What is the probability that Bennett will win a prize on his next spin? </div>

[{"vars":null}]

Probability, NAPX-p109746v02 - d6986544-e9a2-4c31-b57c-36b0409433a8 - (June 22, 2021)

Added categories

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Brent has a jar full of cookies.\r\n\r\nThe jar contains M & M cookies, choc chip cookies and gingernuts.\r\n\r\nBrent closes his eyes and picks one cookie from the jar.\r\n\r\nWhich of the following could be the probability that Brent picked a choc chip cookie?"},{"varval":"Any probability must be between 0 and 1.\r\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"Billy has a box of apples.\n\nThe box contains Pink Lady apples, Delicious apples and Royal Gala apples.\n\nBilly closes his eyes and picks one apple from the box.\n\nWhich of the following could be the probability that Billy picked a Royal Gala apple?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Magnus has a box full of coloured crystals.\n\nThe box contains green crystals, pink crystals and blue crystals.\n\nMagnus closes his eyes and picks one crystal from the box.\n\nWhich of the following could be the probability that Magnus picked a blue crystal?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Bjorn has a bag full of tennis racquets.\n\nThe bag contains Wilson, Yonex and Prince brands of racquets.\n\nBjorn closes his eyes and picks one racquet from the bag.\n\nWhich of the following could be the probability that Bjorn picked a Yonex racquet?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Gollum has a bag full of rings.\n\nThe bag contains gold rings, silver rings and titanium rings.\n\nGollum closes his eyes and picks one ring from the bag.\n\nWhich of the following could be the probability that Gollum picked a gold ring?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Misty has a box of old comics.\n\nThe box contains Marvel comics, DC comics and Phantom comics.\n\nMisty closes her eyes and picks one comic from the box.\n\nWhich of the following could be the probability that Misty picked a DC comic?\n"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]}]

Statistics and Probability, NAPX-J3-CA19, NAPX-J2-34 - b441a643-3023-4731-8ceb-d7b834a3deb7 - (June 22, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ricky has a bag of orange, white, blue and green marbles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/10/NAP-J3-CA19_1.png 150 indent3 vpad\n\n<br>Ricky picks one marble from the bag.\r\n\r\nWhich of the following could be the probability that the marble he picks is green?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Angus has a bag full of lollies.\n\nThe bag contains jelly snakes, maltesers and sour worms.\n\nAngus closes his eyes and picks one lolly from the bag.\n\nWhich of the following could be the probability that Angus picked a sour worm?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Bess has a bag of orange, grey and blue marbles.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/balls-6-coloured-min.svg 150 indent3 vpad\n\n<br>Bess picks one marble from the bag.\n\nWhich of the following could be the probability that the marble she picks is grey?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Ringo has a bag of gold and silver coins.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/07/coin-bag-min.svg 150 indent3 vpad\n\n<br>Ringo picks one coin from the bag.\n\nWhich of the following could be the probability that the coin he picks is silver?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Kuki has a box full of balls.\n\nThe balls are red, purple and white.\n\nKuki closes her eyes and picks one ball from the box.\n\nWhich of the following could be the probability that Kuki picked a purple ball?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]},{"vars":[{"varval":"Min has a bag of table tennis balls.\n\nThe bag contains white and orange balls.\n\nMin closes his eyes and picks one ball from the bag.\n\nWhich of the following could be the probability that Min picked a white ball?"},{"varval":"Any probability must be between 0 and 1.\n\n$\\therefore$ Only possibility is {{{correctAnswer}}}"}]}]

Statistics and Probability, NAPX-L4-CA08 v2, NAPX-L3-CA09 v2 - 5a3c79f5-987a-4df5-94c1-de0c9253722f - (June 21, 2021)

SJ v1 - v7

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Enigma uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/12/nap-L4-08-ver3.svg 200 indent3 vpad\n\n<br>He rolls the dice once.\n\nWhat is the chance that Enigma will roll a 4? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(4) | \\= $\\dfrac{\\text{number of 4's}}{\\text{total possibilities}}$ |\n| | \\= $\\dfrac{2}{6}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n\n"}]},{"vars":[{"varval":"Tran uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/12/nap-L4-08-ver3.svg 200 indent3 vpad\n\n<br>He rolls the dice once.\n\nWhat is the chance that Tran will roll a 2? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(2) | \\= $\\dfrac{\\text{number of 2's}}{\\text{total possibilities}}$ |\n| | \\= $\\dfrac{3}{6}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Toni uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2019/12/nap-L4-08-ver3.svg 200 indent3 vpad\n\n<br>She rolls the dice once.\n\nWhat is the chance that Toni will roll a 1? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(1) | \\= $\\dfrac{\\text{number of 1's}}{\\text{total possibilities}}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Blyss uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed.svg 150 indent3 vpad\n\n<br>She rolls the dice once.\n\nWhat is the chance that Blyss will roll a 1? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(1) | \\= $\\dfrac{\\text{number of 1's}}{\\text{total possibilities}}$ |\n| | \\= $\\dfrac{2}{6}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Chusi uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-1.svg 200 indent3 vpad\n\n<br>She rolls the dice once.\n\nWhat is the chance that Chusi will roll a 1? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(1) | \\= $\\dfrac{\\text{number of 1's}}{\\text{total possibilities}}$ |\n| | \\= $\\dfrac{3}{6}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Aldo uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-2.svg 200 indent3 vpad\n\n<br>He rolls the dice once.\n\nWhat is the chance that Aldo will roll a 3? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(3) | \\= $\\dfrac{\\text{number of 3's}}{\\text{total possibilities}}$ |\n| | \\= $\\dfrac{4}{6}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Ari uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-3.svg 200 indent3 vpad\n\n<br>He rolls the dice once.\n\nWhat is the chance that Ari will roll a 2? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(2) | \\= $\\dfrac{\\text{number of 2's}}{\\text{total possibilities}}$ |\n| | \\= $\\dfrac{3}{6}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]},{"vars":[{"varval":"Soula uses this net to make a dice.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/dice-biassed-3.svg 200 indent3 vpad\n\n<br>She rolls the dice once.\n\nWhat is the chance that Soula will roll a 5? "},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| $P$(5) | \\= $\\dfrac{\\text{number of 5's}}{\\text{total possibilities}}$ |\n| | \\= {{{correctAnswer}}} |\n\n</div>\n"}]}]

Statistics and Probability, NAPX-J4-CA04 v1, NAPX-J3-CA08 v1 - b78a700d-46d8-4be8-b8c3-5a91e91ea929 - (June 21, 2021)

<div class="sm_mode"> Bethany works in the city on weekdays and has weekends off. She catches a bus to work 4 days each week and walks one day. If today is a weekday, what is the probability that Bethany catches a bus to work? </div>

[{"vars":null}]

Statistics and Probability, NAPX-J4-CA38, NAPX-J3-CA37 - 18bcd1f7-2afa-49ce-8357-b2e83cb6490f - (June 21, 2021)

var1: Statistics and Probability, NAPX-J4-CA*38, NAPX-J3-CA*37

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The Strikers and the Hurricanes are playing cricket in a 20 over competition.\r\n\r\nThe stem-and-leaf plots show the number of runs each side has scored in their last 15 games.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-J4-CA381.svg 340 indent3 vpad\n\n\r<br>Select the true statement about the data."},{"varval":"Striker's range = $148\\ −\\ 110$ = 38\n\nHurricane's range = $144\\ −\\ 103$ = 41\n\n$\\therefore$ Striker's range < Hurricane's range"}]},{"vars":[{"varval":"The Strikers and the Hurricanes are playing cricket in a 20 over competition.\r\n\nThe stem-and-leaf plots show the number of runs each side has scored in their last 15 games.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-J3-CA37.svg 340 indent3 vpad\r\n\n<br>Which statement about the data below is true?"},{"varval":"Consider each statement:\r\n\nLow scores: $S=108, \\ H=107$ x \t\r\n\nHigh scores: $S=146, \\ H=147$ x\t\r\n\nScores $> 132: S=6, \\ H=7$ x \t\r\n\nMedian: $S=127, \\ H=129 \\ \\ \\checkmark$ \t\r\n\nRange: $S=146\\ −\\ 108=38, \\ H=147\\ −\\ 107=40$ x\t "}]},{"vars":[{"varval":"The Sydney Swifts and the Melbourne Vixens are playing netball in the Super Netball competition.\r\n\r\nThe stem-and-leaf plots show the number of goals each side has scored in their last 14 games.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v2_q.svg 360 indent3 vpad\n\n\r<br>Select the true statement about the data."},{"varval":"Consider each statement:\r\n\nMost goals: $SS=75, \\ MV=75$ x \t\r\n\nRange: $SS=75\\ −\\ 45=30, \\ MV=75\\ −\\ 51=24$ x\t\n\nMedian: $SS=58, \\ MV=62 \\ \\ \\checkmark$ \n\nLowest scores: $SS=45, \\ MV=51$ x\t\r\n\nScores $> 60: SS=5, \\ MV=7$ x \t\r\n\n\t\r\n\n"}]},{"vars":[{"varval":"The West Coast Fever and the Netball Giants are playing netball in the Super Netball competition.\r\n\r\nThe stem-and-leaf plots show the number of goals each side has scored in their last 14 games.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v3.svg 360 indent3 vpad\n\n\r<br>Select the true statement about the data."},{"varval":"Consider each statement:\r\n\nMedian: $WCF=73, \\ NG=65.5$ x\n\nLowest scores: $WCF=60, \\ NG=43$ x\t\n\nScores $> 70: WCF=8, \\ NG=5$ x \t\n\nMost goals: $WCF=86, \\ NG=82$ x\t\r\n\nRange: $WCF=86\\ −\\ 60=26, \\ NG=82\\ −\\ 43=39 \\ \\ \\checkmark$ \t\n\n\r\n\n\r\n"}]},{"vars":[{"varval":"The Sea Eagles and the Panthers are playing rugby league in the Telstra Premiership.\r\n\r\nThe stem-and-leaf plots show the number of points scored by each team in the first 15 rounds of the 2022 premiership.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v4.svg 360 indent3 vpad\n\n\r<br>Select the true statement about the data."},{"varval":"Consider each statement:\r\n\nLowest scores: $SE=0, \\ P=18$ x\n\nMedian: $SE=22, \\ P=32 \\ \\ \\checkmark$\t\n\nScores $> 20: SE=9, \\ P=12$ x \t\n\nHighest Score: $SE=44, \\ P=42$ | Lowest Score: $SE=0, \\ P=8$ x\t\r\n\nRange: $SE=44\\ −\\ 0=44, \\ P=42\\ −\\ 18=24$ x \t\n"}]},{"vars":[{"varval":"The Knights and the Rabbitohs are playing rugby league in the Telstra Premiership.\r\n\r\nThe stem-and-leaf plots show the number of points scored by each team in the first 15 rounds of the premiership.\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_v5.svg 360 indent3 vpad\n\n\r<br>Select the true statement about the data."},{"varval":"Consider each statement:\r\n\nScores > 12: Knights = 9, Rabbitohs = 10 x \n\nMedian: Knights = 16, Rabbitohs = 24 x\n\nMedian Difference: $24\\ −\\ 16=8$ x\n\nHighest Score: Rabbitohs = 44, Lowest Score: Knights = 0 x\n\n\r\nRange: Rabbitohs = 44 − 4 = 40, 2 $\\times$ Median: Knights = $2\\ \\times$ 16 = 32 $\\ \\ \\checkmark$\t\t\n"}]}]

Algebra, NAPX-G4-NC31 SA - 6260f727-398c-4a2f-a20f-76f85ccc2ca1 - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Manou was cooking a defrosted chicken in his oven and checking its temperature every 7 minutes.\r\n\r\n\nThe first temperature taken was −8.2°C.\r\n\r\n\nThe second temperature was 4.2°C.\r\n\r\n\nThe third measurement showed that the temperature had increased one and a half times the previous increase.\r\n\r\n\nWhat was the third temperature?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| 1st increase | \\= $4.2\\ −\\ (−8.2)$ |\r\n| | \\= $4.2+8.2$ |\n| | \\= 12.4 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 2nd increase | \\= $1.5×12.4$ |\n| | \\= $1×12.4+0.5×12.4$ |\n| | \\= $12.4+6.2$ |\n| | \\= 18.6 |\n\r\n\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Third temp | \\= $4.2+18.6$ |\r\n| | \\= {{{correctAnswer0}}}{{{suffix0}}} |\n\r\n\r\n</div>\n"}]},{"vars":[{"varval":"Marion was cooking a defrosted Viking steak in her oven and checking its temperature every 10 minutes.\r\n\r\n\nThe first temperature taken was −2.8°C.\r\n\r\n\nThe second temperature was 13.6°C.\r\n\r\n\nThe third measurement showed that the temperature had increased one and a quarter times the previous increase.\r\n\r\n\nWhat was the third temperature?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| 1st increase | \\= $13.6\\ −\\ (−2.8)$ |\r\n| | \\= $13.6+2.8$ |\n| | \\= 16.4 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 2nd increase | \\= $1.25×16.4$ |\r\n| | \\= $1×16.4+0.25×16.4$ |\n| | \\= $16.4+4.1$ |\n| | \\= 20.5 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Third temp | \\= $13.6+20.5$ |\r\n| | \\= {{{correctAnswer0}}}{{{suffix0}}} |\n\r\n\r\n</div>\n"}]},{"vars":[{"varval":"Adam was cooking a partly frozen lasagne in his oven and checking its temperature every 5 minutes.\r\n\r\n\nThe first temperature taken was −31.4°C.\r\n\r\n\nThe second temperature was −13.4°C.\r\n\r\n\nThe third measurement showed that the temperature had increased two and a one tenth times the previous increase.\r\n\r\n\nWhat was the third temperature?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| 1st increase | \\= $−13.4\\ −\\ (−31.4)$ |\r\n| | \\= $−13.4+31.4$ |\n| | \\= 18 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 2nd increase | \\= $2.1×18$ |\r\n| | \\= $2×18+0.1×18$ |\n| | \\= $36+1.8$ |\n| | \\= 37.8 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Third temp | \\= $−13.4+37.8$ |\r\n| | \\= {{{correctAnswer0}}}{{{suffix0}}} |\n\r\n\r\n</div>\n"}]},{"vars":[{"varval":"Einstein heated a beaker filled with ice water using a Bunsen burner. He measured the temperature every 30 seconds.\r\n\r\n\nThe third temperature taken was −31.1°C.\r\n\r\n\nThe fourth temperature was −9.9°C.\r\n\r\n\nThe fifth measurement showed that the temperature had increased three and a quarter times the previous increase.\r\n\r\n\nWhat was the fifth temperature?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| 1st increase | \\= $−9.9\\ −\\ (−31.1)$ |\r\n| | \\= $−9.9+31.1$ |\n| | \\= 21.2 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 2nd increase | \\= $3.25×21.2$ |\r\n| | \\= $3×21.2+0.25×21.2$ |\n| | \\= $63.6+5.3$ |\n| | \\= 68.9 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Fifth temp | \\= $−9.9+68.9$ |\r\n| | \\= {{{correctAnswer0}}}{{{suffix0}}} |\n\r\n\r\n</div>"}]},{"vars":[{"varval":"Donna had baked a cheesecake and put it in the freezer to cool. She checked the temperature of the cheesecake every 45 minutes.\r\n\r\n\nThe first temperature taken was 180.8°C.\r\n\r\n\nThe second temperature was 84.6°C.\r\n\r\n\nThe third measurement showed that the temperature had decreased one and a half times the previous decrease.\r\n\r\n\nWhat was the third temperature?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| 1st decrease| \\= $180.8\\ −\\ 84.6$ |\r\n| | \\= 96.2 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 2nd decrease | \\= $1.5×96.2$ |\r\n| | \\= $1×96.2+0.5×96.2$ |\n| | \\= $96.2+48.1$ |\n| | \\= 144.3 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Third temp | \\= 84.6 − 144.3 |\r\n| | \\= {{{correctAnswer0}}}{{{suffix0}}} |\n\r\n\r\n</div>\n"}]},{"vars":[{"varval":"George was testing the temperature of his melting chocolate icecream every 30 seconds.\r\n\r\n\nThe first temperature taken was −18.7°C.\r\n\r\n\nThe second temperature was −15.3°C.\r\n\r\n\nThe third measurement showed that the temperature had increased one and a half times the previous increase.\r\n\r\n\nWhat was the third temperature?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| 1st increase | \\= $−15.3\\ −\\ (−18.7)$ |\r\n| | \\= $−15.3+18.7$ |\n| | \\= 3.4 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 2nd increase | \\= $1.5×3.4$ |\r\n| | \\= $1×3.4+0.5×3.4$ |\n| | \\= $3.4+1.7$ |\n| | \\= 5.1 |\r\n\r\n</div>\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Third temp | \\= $−15.3+5.1$ |\r\n| | \\= {{{correctAnswer0}}}{{{suffix0}}} |\n\r\n\r\n</div>"}]}]

Statistics and Probability, NAPX-J3-CA40 SA - 282237e0-1150-4879-b50f-334c968ec1dd - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A random sample of people were asked what is their favourite winter sport.\r\n\r\nThe table below recorded the results.\n\n\n\n<div class=\"sm-table row1-color8\">\n\n>>| Sport | Number of People|\n|:-:|:-:|\n| Netball | 56|\n| Aussie Rules | 69|\n| Rugby League | 42|\n| Hockey | 17|\n\n</div>\n\n<br>\n\nUsing the data from the survey, predict how many people would choose Aussie Rules if 2000 people were surveyed?"},{"varval":"sm_nogap Total people surveyed\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $56+69+42+17$ |\r\n| \\= 184 |\r\n\r\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Predicted number to choose Aussie Rules\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $\\dfrac{69}{184} \\times 2000$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"A random sample of people were surveyed on the brand of their smartphone.\r\n\r\nThe table below recorded the results.\n\n\n\n<div class=\"sm-table row1-color2\">\n\n>>| Brand of Phone| Number of People|\n|:-:|:-:|\n| Oppo| 27|\n| Apple| 108|\n| Samsung| 71|\n| Google| 10 |\n\n</div>\n\n<br>\n\nUsing the data from the survey, predict how many people would have an Oppo phone if 4000 people were surveyed?"},{"varval":"sm_nogap Total people surveyed\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 27 + 108 + 71 + 10 |\r\n| \\= 216 |\r\n\r\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Predicted number to own an Oppo\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $\\dfrac{27}{216} \\times 4000$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"A random sample of people were surveyed on what is their favourite ice cream flavour.\r\n\r\nThe table below recorded the results.\n\n\n\n<div class=\"sm-table row1-color3\">\n\n>>| Ice Cream Flavour| Number of People|\n|:-:|:-:|\n| Vanilla| 49|\n| Bubblegum| 28|\n| Passionfruit| 35|\n| Chocolate| 59 |\n| Caramel | 29 |\n\n</div>\n\n<br>\n\nUsing the data from the survey, predict how many people would choose chocolate if 3000 people were surveyed?"},{"varval":"sm_nogap Total people surveyed\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 49 + 28 + 35 + 59 + 29 |\r\n| \\= 200 |\r\n\r\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Predicted number to choose chocolate\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $\\dfrac{59}{200} \\times 3000$ |\r\n| \\= {{{correctAnswer0}}} |\n</div>"}]},{"vars":[{"varval":"A random sample of people were surveyed on what is their favourite winter snow sport.\r\n\r\nThe table below recorded the results.\n\n\n\n<div class=\"sm-table row1-color5\">\n\n>>| Snow Sport | Number of People|\n|:-:|:-:|\n| Skiing | 102|\n| Snow Boarding | 228|\n| Cross Country | 85|\n| Fat Biking | 25|\n\n</div>\n\n<br>\n\nUsing the data from the survey, predict how many people would choose Skiing if 5500 people were surveyed?"},{"varval":"sm_nogap Total people surveyed\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 102 + 228 + 85 + 25 |\r\n| \\= 440 |\r\n\r\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Predicted number to choose Snow Skiing\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $\\dfrac{102}{440} \\times 5500$ |\r\n| \\= {{{correctAnswer0}}} |\n</div>"}]},{"vars":[{"varval":"A random sample of people were surveyed on their favourite streaming channel.\r\n\r\nThe table below recorded the results.\n\n\n\n<div class=\"sm-table row1-color4\">\n\n>>| Streaming Channel| Number of People|\n|:-:|:-:|\n| Amazon Prime| 37|\n|Disney+| 64|\n| Google TV| 29|\n| Netflix| 85 |\n|Paramount | 24 |\n|Stan| 81 |\n\n\n</div>\n\n<br>\n\nUsing the data from the survey, predict how many people would choose Amazon Prime if 2560 people were surveyed?"},{"varval":"sm_nogap Total people surveyed\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 37 + 64 + 29 + 85 + 24 + 81|\r\n| \\= 320 |\r\n\r\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Predicted number to choose Amazon Prime\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $\\dfrac{37}{320} \\times 2560$ |\r\n| \\= {{{correctAnswer0}}} |\n</div>"}]},{"vars":[{"varval":"A random sample of people were surveyed on their favourite breed of dog.\r\n\r\nThe table below recorded the results.\n\n\n\n<div class=\"sm-table row1-color1\">\n\n>>| Breed of Dog| Number of People|\n|:-:|:-:|\n| Border Collie| 65|\n| Cavoodle| 22 |\n| Golden Retriever| 125|\n| Labrador| 75 | \n| Maltese Cross| 36 |\n| Staffordshire Bull Terrier| 52|\n\n</div>\n\n<br>\n\nUsing the data from the survey, predict how many people would choose a Cavoodle if 3000 people were surveyed?"},{"varval":"sm_nogap Total people surveyed\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 65 + 22 + 125 +75 + 36 + 52 |\r\n| \\= 375 |\r\n\r\n</div>\n\n<br>\n\nsm_nogap $\\therefore$ Predicted number to choose a Cavoodle\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $\\dfrac{22}{375} \\times 3000$ |\r\n| \\= {{{correctAnswer0}}} |\n</div>"}]}]

Algebra, NAPX-F4-NC25 - 872b307b-dd9e-4b2e-89ae-4bbd323bd1e1 - (June 21, 2021)

<div class="sm_mode"> Ranch is tiling his bathroom. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-F4-NC25.svg 400 indent vpad <br>He follows this pattern to make a line of tiles that is 60 cm long. How many tiles are in this line? </div>

[{"vars":null}]

Statistics and Probability, NAPX-J4-CA24 SA - 42e01227-c56b-449f-b531-cac2fa5c2f57 - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Fifty football fans were surveyed about modes of transport they took to get to the game.\r\n\r\n\n* 22 caught a train\r\n* 21 caught a bus\r\n* 20 didn't take a train or a bus.\r\n\nThe diagram is missing some information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA24.svg 250 indent3 vpad\r\n\n<br>How many caught both a train and a bus to get to the game?\n"},{"varval":"Interpreting the Venn diagram:\r\n\nsm_nogap Since fifty fans surveyed,\n\n\r\n* 20 didn't take either train or bus\r\n* 9 caught train only\r\n* 8 caught bus only\n\nsm_nogap $\\therefore$ Number that took both train and bus\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $50\\ −\\ (20 + 9 + 8)$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Eighty students were surveyed about instruments they play.\r\n\r\n\n* 39 play the piano\r\n* 18 play the guitar\r\n* 30 didn't play either instrument\r\n\nThe diagram is missing some information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA24-SA_v1.svg 250 indent3 vpad\r\n\n<br>How many students play both the piano and the guitar?\n"},{"varval":"Interpreting the Venn diagram:\r\n\nsm_nogap Since eighty students surveyed,\n\n\r\n* 30 didn't play either piano or guitar\r\n* 32 play piano only\r\n* 11 play guitar only\n\nsm_nogap $\\therefore$ Number that play both piano and guitar\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $80\\ −\\ (30 + 32 + 11)$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Ninety six athletes were surveyed about the physiotherapist they had used during the season.\r\n\r\n\n* 45 used physio 1 \r\n* 30 used physio 2\r\n* 26 didn't use a physio\r\n\nThe diagram is missing some information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA24-SA_v2.svg 250 indent3 vpad\r\n\n<br>How many athletes used both physio 1 and physio 2?\n"},{"varval":"Interpreting the Venn diagram:\r\n\nsm_nogap Ninety six athletes surveyed (given)\n\n\r\n* 26 didn't use physio 1 or physio 2\r\n* 40 used physio 1 only\r\n* 25 used physio 2 only\n\nsm_nogap $\\therefore$ Number that used both physio 1 and 2\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $96\\ −\\ (26 + 40 + 25)$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Eighty eight shoppers at a department store were surveyed about the perfume they like.\r\n\r\n\n* 27 liked perfume 1\r\n* 33 liked perfume 2\r\n* 37 didn't like either perfume\r\n\nThe diagram is missing some information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA24-SA_v3.svg 300 indent3 vpad\r\n\n<br>How many shoppers liked both the perfume A and perfume B?\n"},{"varval":"Interpreting the Venn diagram:\r\n\nsm_nogap Eighty eight shoppers were surveyed (given)\n\n\r\n* 37 didn't like either perfume 1 or perfume 2\r\n* 18 liked perfume 1 only\r\n* 24 liked perfume 2 only\n\nsm_nogap $\\therefore$ Number that like both perfume 1 and perfume 2\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $88\\ −\\ (37 + 18 + 24)$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Two hundred people were surveyed about the fruits they like.\r\n\r\n\n* 73 like bananas\r\n* 60 like apples\r\n* 83 didn't like either bananas or apples\r\n\nThe diagram is missing some information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA24-SA_v4.svg 300 indent3 vpad\r\n\n<br>How many people like both bananas and apples?\n"},{"varval":"Interpreting the Venn diagram:\r\n\nsm_nogap Two hundred people were surveyed (given)\n\n\r\n* 83 didn't like either bananas or apples\r\n* 57 like bananas only\r\n* 44 like apples only\n\nsm_nogap $\\therefore$ Number that like both bananas and apples\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $200\\ −\\ (57 + 44 + 83)$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Three hundred people were surveyed about the movie cinemas they have attended in the last 6 months.\r\n\r\n\n* 160 have attended Events\r\n* 140 have attended Hoyts\r\n* 50 didn't attend either cinema\r\n\nThe diagram is missing some information.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-J4-CA24-SA_v5.svg 300 indent3 vpad\r\n\n<br>How many people had attended both Events and Hoyts cinemas?\n"},{"varval":"Interpreting the Venn diagram:\r\n\nsm_nogap Three hundred people were surveyed (given)\n\n\r\n* 50 didn't attend either Events or Hoyts\r\n* 110 attended Events only\r\n* 90 attended Hoyts only\n\nsm_nogap $\\therefore$ Number that attended both Events and Hoyts\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $300\\ −\\ (50 + 110 + 90)$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Statistics and Probability, NAPX-H3-CA05 - a674a9c5-fedc-4338-9fa3-d09be070d93d - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Steph randomly picks one disk from a group of white and coloured disks, pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-H3-CA05.svg 300 indent3 vpad\n\n<br>What is the probability Steph chooses a coloured disk?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $P$(Coloured disk) | \\= $\\dfrac{\\text{Number of coloured disks}}{\\text{Total disks}}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Clare randomly picks one disk from a group of white and coloured disks, pictured below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-H3-CA05.svg 300 indent3 vpad\n\n<br>What is the probability Clare chooses a white disk?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $P$(White disk) | \\= $\\dfrac{\\text{Number of white disks}}{\\text{Total disks}}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]}]

Statistics and Probability, NAPX-F4-CA22 SA, NAPX-F3-CA23 SA - 24418c78-1e0e-4f4f-bf7f-5015de80e8db - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A new museum records the number of visitors over 5 days.\n\n<br>\n\n<div class=\"sm-table row1-color8\">\n\n>>| Day | Visitors |\n|:-:|:-:|\n| 1 | 220| \n| 2 | 200| \n| 3 | 230| \n| 4 | 220| \n| 5 | 180| \n\n</div>\n\n<br>The cost of entry for each visitor was $12.\r\n\r\nWhat was the mean total entry fee collected per day?"},{"varval":"sm_nogap Mean number of visitors\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(220+200+230+220+180) \\div 5$ |\r\n| \\= 210 |\r\n\r\n</div>\n\n\r\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Mean entry fees per day | \\= $210 \\times 12$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A bowling rink records the number of visitors over 5 days.\n\n<br>\n\n<div class=\"sm-table row1-color3\">\n\n>>| Day | Visitors |\n|:-:|:-:|\n| 1 | 120| \n| 2 | 80| \n| 3 | 100| \n| 4 | 60| \n| 5 | 140| \n\n</div>\n\n<br>The cost of entry for each visitor was $21.\r\n\r\nWhat was the mean total entry fee collected per day?"},{"varval":"sm_nogap Mean number of visitors\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(120+80+100+60+140) \\div 5$ |\r\n| \\= 100 |\r\n\r\n</div>\n\n\r\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Mean entry fees per day | \\= $100 \\times 21$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"An aquarium records the number of visitors over 7 days.\n\n<br>\n\n<div class=\"sm-table row1-color5\">\n\n>>| Day | Visitors |\n|:-:|:-:|\n| 1 | 540| \n| 2 | 660| \n| 3 | 400| \n| 4 | 320| \n| 5 | 450|\n| 6 | 600|\n| 7 | 880| \n\n</div>\n\n<br>The cost of entry for each visitor was $40.\r\n\r\nWhat was the mean total entry fee collected per day?"},{"varval":"sm_nogap Mean number of visitors\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(540+660+400+320+450+600+880) \\div 7$ |\r\n| \\= 550 |\r\n\r\n</div>\n\n\r\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Mean entry fees per day | \\= $$40 \\times 550$ |\r\n| | \\= $22 000 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A zoo records the number of visitors it receives over 5 days.\n\n<br>\n\n<div class=\"sm-table row1-color4\">\n\n>>| Day | Visitors |\n|:-:|:-:|\n| 1 | 560| \n| 2 | 880| \n| 3 | 1500| \n| 4 | 2400| \n| 5 | 2900| \n\n</div>\n\n<br>The cost of entry for each visitor was $32.\r\n\r\nWhat was the mean total entry fee collected per day?"},{"varval":"sm_nogap Mean number of visitors\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(560+880+1500+2400+2900) \\div 5$ |\r\n| \\= 1648 |\r\n\r\n</div>\n\n\r\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Mean entry fees per day | \\= $$32 \\times 1648$ |\r\n| | \\= $52 736 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A Universal Studios Los Angeles records the number of visitors it receives over 7 days.\n\n<br>\n\n<div class=\"sm-table row1-color2\">\n\n>>| Day | Visitors |\n|:-:|:-:|\n| 1 | 19 657| \n| 2 | 21 300| \n| 3 | 20 900| \n| 4 | 18 568| \n| 5 | 15 700|\n| 6 | 24 600|\n| 7 | 18 449| \n\n</div>\n\n<br>The cost of entry for each visitor was $45.\r\n\r\nWhat was the mean total entry fee collected per day?"},{"varval":"sm_nogap Mean number of visitors\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(19\\ 657+21\\ 300+20\\ 900+18\\ 568+15\\ 700+24\\ 600+18\\ 449) \\div 7$ |\r\n| \\= 19 882 |\r\n\r\n</div>\n\n\r\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Mean entry fees per day | \\= $$45 \\times 19882$ |\r\n| | \\= $894 690 |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"A ninja park records the number of visitors over 5 days.\n\n<br>\n\n<div class=\"sm-table row1-color6\">\n\n>>| Day | Visitors |\n|:-:|:-:|\n| 1 | 72| \n| 2 | 68| \n| 3 | 46| \n| 4 | 84| \n| 5 | 110| \n\n</div>\n\n<br>The cost of entry for each visitor was $12.\r\n\r\nWhat was the mean total entry fee collected per day?"},{"varval":"sm_nogap Mean number of visitors\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(72+68+46+84+110) \\div 5$ |\r\n| \\= 76 |\r\n\r\n</div>\n\n\r\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Mean entry fees per day | \\= $$12 \\times 76$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>\r\n"}]}]

Statistics and Probability, NAPX-I4-CA21 - c067f292-dcc1-4f99-97aa-e5db3ad70b2b - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Angelica made a dot plot to show the distances she has run in her training for a marathon.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA211.svg 400 indent vpad\r\n\nWhat is the range of the distances Angelica has run?\n"},{"varval":"\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Range | \\= high − low |\n| | \\= $25 - 18$ |\r\n| | \\= {{{correctAnswer}}} km |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Eve made a dot plot to show the sales of pet mince, in kilograms, she made during the day.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v1a.svg 310 indent vpad\r\n\nWhat is the range of the kilograms of pet mince she sold?\n"},{"varval":"\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Range | \\= high − low |\n| | \\= $6 - 1$ |\r\n| | \\= {{{correctAnswer}}} kg |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Brandon made a dot plot to show the hours he worked over the last 16 weeks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v2.svg 370 indent vpad\r\n\nWhat is the median number of hours that Brandon worked?\n"},{"varval":"\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Median | \\= Middle score when arranged in order |\n| | \\= Average of the 8th and 9th scores|\n| | \\= $\\dfrac{15+16}{2}$|\r\n| | \\= {{{correctAnswer}}} hours |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"Leila made a dot plot to show the hours she walked each day whilst trekking in Nepal.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v3.svg 420 indent vpad\r\n\nWhat is the range of the hours that Leila trekked?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Range | \\= 10 $-$ 0 |\n| | \\= {{{correctAnswer}}} hours |\r\n\r\n</div>"}]},{"vars":[{"varval":"Jennifer made a dot plot to show her maximum heart rate during exercise, in beats per minute, over 20 workouts.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v4.svg 580 indent vpad\r\n\nWhat is her median maximum heart rate?\n"},{"varval":"\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Median | \\= Middle score when arranged in order |\n| | \\= Average of the 10th and 11th scores|\n| | \\= $\\dfrac{169+171}{2}$|\r\n| | \\= {{{correctAnswer}}} beats per minute |\r\n\r\n</div>"}]},{"vars":[{"varval":"Allen made a dot plot to show the number of eggs he collected from his chickens over the last 14 days.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stats_Prob_NAPX-I4-CA21_v5a.svg 310 indent3 vpad\r\n\nWhat is the mean number of eggs Allen collected?\n"},{"varval":"\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Mean | \\= Average of the scores |\n| | \\= $\\dfrac{1+1+1+1+1+3+3+4+4+4+4+5+5+5}{14}$|\r\n| | \\= $\\dfrac{42}{14}$|\n| | \\= {{{correctAnswer}}} eggs |\r\n\r\n</div>"}]}]

Statistics and Probability, NAPX-G4-CA02 - 951d2fea-e5a5-4992-8d7d-6eb880280da6 - (June 21, 2021)

<div class="sm_mode"> Clover flips an unbiased coin 100 times. Which result is most likely? </div>

[{"vars":null}]

Statistics and Probability, NAPX-G3-CA27 SA - f1feea8f-f317-4c4e-b468-caacab551bdf - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Suzie asked all the students in her primary school how many brothers and sisters they have.\r\n\r\nShe used the results to create the bar chart below but left off some labels.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-G3-CA27-SA.svg 300 indent3 vpad\r\n\n<br>Suzie's primary school has 100 students.\r\n\r\nHow many students have over 4 brothers and sisters?\n"},{"varval":"Since there are 100 students and 5 columns, the\r average number of students per column is 20.\r\n\n$\\rArr$ Each horizontal interval = 4 students\r\n \r\n\r\nsm_nogap $\\therefore$ Students with more than 4\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $5.5 \\times 4$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Kevin asked all the people at a pet show how many pets they have.\r\n\r\nHe used the results to create the bar chart below but left off some labels.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v1_1.svg 320 indent3 vpad\r\n\n<br>There were 172 people at the pet show.\r\n\r\nHow many people at the pet show have over 4 pets?\n"},{"varval":"There are 172 people at the pet show.\n\nCalculate the number of people in 1 interval (vertical) of the graph:\n\nsm_nogap $\\therefore$ Number of people per interval\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $172 \\div (4 + 3.5 + 5 + 3.5 + 2.5 + 3)$ |\r\n| \\= $172 \\div 21.5$ |\n| \\= 8 |\r\n\r\n</div>\n\n\n\r\n\r\nsm_nogap $\\therefore$ People with more than 4 pets\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $3 \\times 8$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n"}]},{"vars":[{"varval":"Jesse kept track of the goals he scored in the 2022 NPL soccer season.\r\n\r\nHe used the results to create the bar chart below but left off some labels.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v2.svg 320 indent3 vpad\r\n\n<br>Jesse scored 72 goals in the 2022 season.\r\n\r\nOn how many occasions did he score exactly 2 goals?\n"},{"varval":"Jesse scored 72 goals in the 2022 season.\n\nCalculate the number of goals in 1 interval (vertical) of the graph:\n\nsm_nogap $\\therefore$ Number of goals per interval\n\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $72 \\div (4 + 3.5 + 5 + 3.5 + 2)$ |\r\n| \\= $72 \\div 18$ |\n| \\= 4 |\r\n\r\n</div>\n\n\n\r\n\r\nsm_nogap $\\therefore$ Times Jesse scored exactly 2 goals\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $5 \\times 4$ |\r\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Ashleigh recorded the number of times the members of her gym visited the gym each week.\n\n\r\n\r\nShe used the results to create the bar chart below but left off some labels.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v3_1.svg 320 indent3 vpad\r\n\n<br>Ashleigh's gym has 616 members.\n\n\r\n\r\nHow many gym members attend 4 or more times per week?\n"},{"varval":"Ashleigh has 616 gym members.\n\nCalculate the number of visits in 1 interval (vertical) of the graph:\n\nsm_nogap $\\therefore$ Number of visits per interval\n\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $616 \\div (5 + 4.5 + 3 + 4 + 2.5 + 3.5 + 5.5)$ |\r\n| \\= $616 \\div 28$ |\n| \\= 22 |\r\n\r\n</div>\n\n\n\r\n\r\nsm_nogap $\\therefore$ People who attended the gym 4 or more times\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(2.5 + 3.5 +5.5) \\times 22$ |\r\n| \\= $11.5 \\times 22$ |\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Martin recorded the sleep patterns of the residents at an aged care facility on a single night.\n\n\r\n\r\nHe used the results to create the bar chart below but left off some labels.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v4.svg 330 indent3 vpad\r\n\n<br>There are 174 residents in the aged care facility.\n\n\r\n\r\nHow many residents sleep less than 6 hours per night?\n"},{"varval":"There are 174 residents in the aged care facility.\n\nCalculate the number of residents in 1 interval (vertical) of the graph:\n\nsm_nogap $\\therefore$ Number of residents per interval\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $174 \\div (2 + 4 + 3.5 + 5.5 + 6 + 4.5 + 3.5)$ |\r\n| \\= $174 \\div 29$ |\n| \\= 6 |\r\n\r\n</div>\n\n\n\r\n\r\nsm_nogap $\\therefore$ Residents who sleep less than 6 hours per night\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(2 + 4 + 3.5) \\times 6$ |\r\n| \\= $9.5 \\times 6$ |\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Susan recorded the number of cups of coffee consumed by a group of teachers at her school in a week.\n\n\r\n\r\nShe used the results to create the bar chart below but left off some labels.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Stat_Prob_NAPX-G3-CA27-SA_v5_1.svg 330 indent3 vpad\r\n\n<br>In total, there were 128 teachers who took part in Susan's survey.\n\n\r\n\r\nHow many teachers consumed 4 or more cups of coffee per day?\n"},{"varval":"There are 128 teachers taking part in the survey.\n\nCalculate the number of teachers in 1 interval (vertical) of the graph:\n\nsm_nogap $\\therefore$ Number of teachers per interval\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $128 \\div (3 + 4 + 8 + 7 + 4.5 + 3.5 + 2)$ |\r\n| \\= $128 \\div 32$ |\n| \\= 4 |\r\n\r\n</div>\n\n\n\r\n\r\nsm_nogap $\\therefore$ Number of teachers who consumed 4 or more cups of coffee per day\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= $(4.5 + 3.5 + 2) \\times 4$ |\r\n| \\= $10 \\times 4$ |\n| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Statistics and Probability, NAPX-H3-NC29 - 39ed5e12-05a7-48f9-995f-167bfa84b7b1 - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Dippa arrived at Toorak station at 11:00 am and caught the next train to Southbank.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Train A | Train B |Train C|Train D|\n|:-|:-:|:-:|:-:|:-:|\n| Kooyong| 10:44| 10:58|11:10| $-$|\n| Toorak | 10:51| 11:05|$-$|11:19|\n| South Yarra| 11:08| $-$|11:24|11:36|\n| Botanic Gardens | 11:18| 11:22|$-$|11:46|\n| Southbank | 11:30| $-$|11:46|11:58|\n\n</div>\n\n<br>At what time did Dippa arrive at Southbank station?"},{"varval":"Arriving at Toorak at 11:00 am, \r\n\n$\\Rightarrow$ Train A has already left\r\n\n$\\Rightarrow$ Train B doesn't stop at Southbank\r\n\n$\\Rightarrow$ Train C doesn't stop at Toorak\r\n\n$\\Rightarrow$ Train D arrives at 11:58 am\r\n\n$\\therefore$ He arrives at {{{correctAnswer}}} am."}]},{"vars":[{"varval":"Novak arrived at Toorak station at 2:35 pm and caught the next train to Melbourne Park station.\n\n<br>\n\n<div class=\"sm-table col1-color3 row1-color3 top-left-cell-hidden\">\n\n>>| | Train A | Train B |Train C|Train D|\n|:-|:-:|:-:|:-:|:-:|\n| Kooyong| 2:24 pm| 2:44 pm|3:04 pm| $-$|\n| Toorak | 2:31 pm| $-$|3:11 pm|3:23 pm|\n| South Yarra| 2:46 pm| $-$|3:26 pm|3:38 pm|\n| Botanic Gardens | 2:56 pm| 3:16 pm|3:36 pm|3:48 pm|\n| Melbourne Park | 3:08 pm| 3:28 pm|$-$ |4:00 pm|\n\n</div>\n\n<br>At what time did Novak arrive at Melbourne Park station?"},{"varval":"Arriving at Toorak at 2:35 pm, \r\n\n$\\Rightarrow$ Train A has already left\r\n\n$\\Rightarrow$ Train B doesn't stop at Toorak\n\n$\\Rightarrow$ Train C doesn't stop at Melbourne Park\n\n$\\Rightarrow$ Train D arrives at 4:00 pm\n\n$\\therefore$ Novak arrives at {{{correctAnswer}}}."}]}]

Statistics and Probability, NAPX-I4-NC17 - e2ec4546-2936-4aae-9f8b-2e7def290adb - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The median mass of a group of emperor penguins at the zoo is 23 kg.\r\n\r\nThe mean mass of the same group is 25 kg.\r\n\r\nIf a new 29 kg penguin joins the group, which of these is possible?"},{"varval":"It is possible for the mean mass to increase and\r\nthe median mass to stay the same.\n"}]},{"vars":[{"varval":"The median high jump height of primary school students competing at the state carnival is 1.1 metres.\r\n\r\nThe mean high jump height of the same group is 0.9 metres.\r\n\r\nIf a new competitor then records a jump of 0.8 metres, which of these is possible?"},{"varval":"It is possible for the mean height to decrease and\r\nthe median height to stay the same.\n"}]},{"vars":[{"varval":"The mean diameter of a batch of cookies is 8.5 centimetres.\r\n\r\nThe median diameter of the same batch of cookies is 8.9 centimetres.\r\n\r\nIf a new cookie with a diameter of 7 centimetres is added to the batch, which of these is possible?"},{"varval":"It is possible for the mean diameter to decrease and\r\nthe median diameter to stay the same.\n"}]},{"vars":[{"varval":"The median wingspan of a group of wedge tailed eagles is 2.6 metres.\r\n\r\nThe mean wingspan of the same group is 2.5 metres.\r\n\r\nIf a new wedge tailed eagle joins the group with a wingspan of 2.7 metres, which of these is possible?"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The mean age of a group of friends is 26 years.\r\n\r\nThe median age of the same group is 28 years.\r\n\r\nIf an 18 year old joins the group, which of these is possible?"},{"varval":"It is possible for the mean age to decrease and the median age decreases"}]},{"vars":[{"varval":"The median price of houses sold in a suburb is $850 000.\r\n\r\nThe mean price of the same group of houses is $925 000.\r\n\r\nIf another house in the suburb sells for $1.2 million, which of these is possible?"},{"varval":"It is possible for the mean house price to increase and the median house price to stay the same."}]}]

Statistics and Probability, NAPX-L4-CA20 v2 - c9383723-23a7-4f92-9f7f-2061efecd181 - (June 21, 2021)

var 1: Statistics and Probability, NAPX-L4-CA20 v1 var2: Statistics and Probability, NAPX-L4-CA20 Var3-5 ... can we get a lighter tone of each colour and see 9if the font can be closer to question writing. See colour palette here: c9383723-23a7-4f92-9f7f-2061efecd181 - This is this question? I've toned down the colours and the font I've used is Segoe UI Variable Display which is what comes up when I highlight and copy the questions into word. if you can let me know the correct font I can change.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The stem-and-leaf plot shows the number of lunch diners a small cafe had each day for the last 2 weeks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-L4-20-ver3.svg 410 indent3 vpad\r\n\n<br>On how many days were there at least 25 people dining at lunch?"},{"varval":"The plot shows 7 data points that are at least 25.\n\n$\\therefore$ 7 days"}]},{"vars":[{"varval":"The stem-and-leaf plot shows the number of movie tickets sold to a foreign film over 15 screenings.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-L4-20-ver2.svg 410 indent3 vpad\n\n\r\n<br>In how many screenings were there at least 30 tickets sold?"},{"varval":"The plot shows 8 data points that are 30 or above.\r\n\n$\\therefore$ 8 screenings"}]},{"vars":[{"varval":"The stem-and-leaf plot shows the number of nippers who attended surf club training each day for the last two weeks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/04/NAPX-L4-20-ver1.svg 410 indent3 vpad\r\n\n<br>On how many days were there at least 40 nippers at training?"},{"varval":"The plot shows 4 data points that are 40 or above.\r\n\n$\\therefore$ 4 days"}]},{"vars":[{"varval":"The stem-and-leaf plot shows the number of buckets of strawberries picked by visitors to a strawberry farm each day for the last two weeks.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_2_v3.svg 410 indent3 vpad\r\n\n<br>On how many days were there at least 25 buckets picked?"},{"varval":"The plot shows 10 data points that are 25 or above.\r\n\n$\\therefore$ 10 days"}]},{"vars":[{"varval":"The stem-and-leaf plot shows the highest points per game scored by LeBron James in the NBA seasons from 2003 to 2021.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_2_v4.svg 500 indent3 vpad\r\n\n<br>In how many seasons was his highest game score at least 76?"},{"varval":"The plot shows 11 data points that are 76 or above.\r\n\n$\\therefore$ 11 seasons"}]},{"vars":[{"varval":"The stem-and-leaf plot shows the number of boats launched at the local boat ramp during two weeks of the summer holidays.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_Prob_NAPX-J4-CA38_NAPX-J3-CA37_2_v5.svg 420 indent3 vpad\r\n\n<br>On how many days were there at least 12 but less than 31 boats launched?"},{"varval":"The plot shows 7 data points that are at least 12 but less than 31.\r\n\n$\\therefore$ 7 days"}]}]

Algebra, NAPX-G4-NC25 SA - 8656c544-6220-4ab6-907f-f079f5dacbe1 - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The table below shows the relationship between the width of a tree's trunk in centimetres and how old it is in months.\n\n<br>\n\n<div class=\"sm-table col1-color1\">\n\n>>| Age in months | 6|9|12|15|18|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Width of trunk (cm) | 6$\\frac{1}{8}$|6$\\frac{1}{4}$|6$\\frac{3}{8}$|6$\\frac{1}{2}$|6$\\frac{5}{8}$|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a tree with a 7 cm wide trunk to be?"},{"varval":"Continuing the pattern adding $\\frac{1}{8}$:\n\n<div class=\"sm-table col1-color1\">\n\n>>| Age in months | 18|21|24|27|\n|:-:|:-:|:-:|:-:|:-:|\n| Width of trunk (cm) | 6$\\frac{5}{8}$|6$\\frac{3}{4}$|6$\\frac{7}{8}$|7|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the length of a gecko in centimetres and how old it is in months.\n\n<br>\n\n<div class=\"sm-table col1-color3\">\n\n>>| Age in months | 4|6|8|10|12|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 8$\\frac{3}{8}$|8$\\frac{1}{2}$|8$\\frac{5}{8}$|8$\\frac{3}{4}$|8$\\frac{7}{8}$|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a 9.5 cm gecko to be?"},{"varval":"Continuing the pattern adding $\\frac{1}{8}$:\n\n<div class=\"sm-table col1-color3\">\n\n>>| Age in months | 12|14|16|18|20|22|\n|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 8$\\frac{7}{8}$|9|9$\\frac{1}{8}$|9$\\frac{1}{4}$|9$\\frac{3}{8}$|9$\\frac{1}{2}$|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the length of a garden worm in centimetres and how old it is in months.\n\n<br>\n\n<div class=\"sm-table col1-color2\">\n\n>>| Age in months | 7|10|13|16|19|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 2$\\frac{3}{5}$|2$\\frac{4}{5}$|3|3$\\frac{1}{5}$|3$\\frac{2}{5}$|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a 4.4 cm worm to be?"},{"varval":"Continuing the pattern adding $\\frac{1}{5}$:\n\n<div class=\"sm-table col1-color2\">\n\n>>| Age in months | 19|22|25|28|31|34|\n|:-:|:-:|:-:|:-:|:-:|:-:|:-:|\n| Length (cm) | 3$\\frac{2}{5}$|3$\\frac{3}{5}$|3$\\frac{4}{5}$|4|4$\\frac{1}{5}$|4$\\frac{2}{5}$|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the weight of a sea slug in grams and how old it is in days.\n\n<br>\n\n<div class=\"sm-table col1-color4\">\n\n>>| Age in days| 4|8|12|16|20|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Weight in grams (g) | 19$\\frac{4}{5}$|20$\\frac{1}{10}$|20$\\frac{2}{5}$|20$\\frac{7}{10}$|21|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a sea slug with a weight of 22.2 g to be?"},{"varval":"Continuing the pattern adding $\\frac{3}{10}$:\n\n<div class=\"sm-table col1-color4\">\n\n>>| Age in days| 20|24|28|32|36|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Weight in grams (g) | 21|21$\\frac{3}{10}$|21$\\frac{3}{5}$|21$\\frac{9}{10}$|22$\\frac{1}{5}$|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]},{"vars":[{"varval":"The table below shows the relationship between the height of a seedling in millimetres and how old it is in days.\n\n<br>\n\n<div class=\"sm-table col1-color5\">\n\n>>| Age in days| 20|24|28|32|36|\n|:-:|:-:|:-:|:-:|:-:|:-:|\n| Height of seedling (mm) | 40$\\frac{7}{8}$|41$\\frac{1}{4}$|41$\\frac{5}{8}$|42|42$\\frac{3}{8}$|\n\n</div>\n\n<br>If this pattern continues, how old would you expect a seedling with a height of 43.5 mm to be?"},{"varval":"Continuing the pattern adding $\\frac{3}{8}$:\n\n<div class=\"sm-table col1-color5\">\n\n>>| Age in days| 36|40|44|48|\n|:-:|:-:|:-:|:-:|:-:|\n| Height of seedling (mm) | 42$\\frac{3}{8}$|42$\\frac{3}{4}$|43$\\frac{1}{8}$|43$\\frac{1}{2}$|\n\n</div>\n\n<br>$\\therefore$ Expected age = {{{correctAnswer0}}} {{{suffix0}}}"}]}]

Measurement, NAPX-J4-CA28, NAPX-J3-CA36 - c8e910c0-15a5-4fd2-9cd2-02afac8c82a6 - (June 21, 2021)

Var2 answer was incorrect (0.425) changed to 0.4225 and adjusted MC answers

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A square table top has an area of 9025 square centimetres.\n\r\nWhat is the area of the table top in square millimetres?"},{"varval":"Method 1\n\n\r\nDimensions of square with area 9025 cm$^2$ is:\n\n\r\n95 cm × 95 cm\n\n\r\nConverting to millimetres:\n\n\r\n950 mm × 950 mm = {{{correctAnswer}}}\n\n<br>\n\n\r\n\r\n\r\nMethod 2\n\n\r\nScale factor of converting cm to mm = 10\n\n\r\nScale factor of converting cm$^2$ to mm$^2$ = 10 × 10 = 100\n\n\r\n$\\therefore$ 9025 cm$^2$ × 100 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"A large square feature tile has an area of 15 625 square centimetres.\n\r\nWhat is the area of the feature tile in square millimetres?"},{"varval":"Dimensions of square with area 15 625 cm$^2$ is:\n\n125 cm × 125 cm\n\nConverting to millimetres:\n\n\r\n1250 mm × 1250 mm = {{{correctAnswer}}}\n\n<br>\n\n\r\n\r\n\r\nMethod 2\n\n\r\nScale factor of converting cm to mm = 10\n\n\r\nScale factor of converting cm$^2$ to mm$^2$ = 10 × 10 = 100\n\n\r\n$\\therefore$ 15 625 cm$^2$ × 100 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"A square table top has an area of 4225 square centimetres.\n\r\nWhat is the area of the table top in square metres?"},{"varval":"Dimensions of square with area 4225 cm$^2$ is:\n\n65 cm × 65 cm\n\nConverting to metres:\n\n\r\n0.65 m × 0.65 m = {{{correctAnswer}}}\n\n<br>\n\n\r\n\r\n\r\nMethod 2\n\n\r\nScale factor of converting cm to m = $\\dfrac{1}{100}$\n\n\r\nScale factor of converting cm$^2$ to mm$^2$\n\n>= $\\dfrac{1}{100}\\ \\times\\ \\dfrac{1}{100}$\n\n<br>\n\n>= $\\dfrac{1}{10\\ 000}$\n\n<br>\n\n\r\n$\\therefore$ 4225 cm$^2$ × $\\dfrac{1}{10\\ 000}$ = {{{correctAnswer}}}"}]},{"vars":[{"varval":"A square fridge magnet has an area of 900 square millimetres.\n\r\nWhat is the area of the fridge magnet in square centimetres?"},{"varval":"Dimensions of square with area 900 mm$^2$ is:\n\n30 mm × 30 mm\n\nConverting to centimetres:\n\n\r\n3 cm × 3 cm = {{{correctAnswer}}}\n\n<br>\n\n\r\n\r\n\r\nMethod 2\n\n\r\nScale factor of converting mm to cm = $\\dfrac{1}{10}$\n\n\r\nScale factor of converting mm$^2$ to cm$^2$\n\n>= $\\dfrac{1}{10}\\ \\times\\ \\dfrac{1}{10}$\n\n<br>\n\n>= $\\dfrac{1}{100}$\n\n<br>\n\n\r\n$\\therefore$ 900 mm$^2$ × $\\dfrac{1}{100}$ = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Jeremy's back deck is square in shape and has an area of 16 square metres.\n\r\nWhat is the area of the deck in square centimetres?"},{"varval":"Method 1\n\n\r\nDimensions of square with area 16 m$^2$ is:\n\n\r\n4 m × 4 m\n\n\r\nConverting to centimetres:\n\n\r\n400 cm × 400 cm = {{{correctAnswer}}}\n\n<br>\n\n\r\n\r\n\r\nMethod 2\n\n\r\nScale factor of converting m to cm = 100\n\n\r\nScale factor of converting m$^2$ to cm$^2$ = 100 × 100 = 10 000\n\n\r\n$\\therefore$ 16 m$^2$ × 10 000 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Vlad has a giant square chess board that has an area of 4 m$^2$.\n\nWhat is the area of the chess board in square centimetres?"},{"varval":"Method 1\n\n\r\nDimensions of square with area 4 m$^2$ is:\n\n\r\n2 m × 2 m\n\n\r\nConverting to centiimetres:\n\n\r\n200 cm × 200 cm = {{{correctAnswer}}}\n\n<br>\n\n\r\n\r\n\r\nMethod 2\n\n\r\nScale factor of converting cm to m = 100\n\n\r\nScale factor of converting cm$^2$ to m$^2$ = 100 × 100 = 10 000\n\n\r\n$\\therefore$ 4 m$^2$ × 10 000 = {{{correctAnswer}}}"}]}]

Measurement, NAPX-I4-NC29 - 2ff3d72e-326f-4578-952d-beacced65f08 - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ben bought a dog mat with an area of 0.5 square metres.\n\n\r\n\r\nWhat is the area of the dog mat in square centimetres?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 1 m$^2$ | \\= 100 cm × 100 cm |\n| | \\= 10 000 cm$^2$ |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ 0.5 m$^2$ | \\= 0.5 × 10 000 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Julia bought a kitchen rug with an area of 0.85 square metres.\n\n\r\n\r\nWhat is the area of the kitchen rug in square centimetres?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 1 m$^2$ | \\= 100 cm × 100 cm |\n| | \\= 10 000 cm$^2$ |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ 0.85 m$^2$ | \\= 0.85 × 10 000 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Nigel bought a wall hanging with an area of 0.4 square metres.\n\n\r\n\r\nWhat is the area of the wall hanging in square centimetres?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 1 m$^2$ | \\= 100 cm × 100 cm |\n| | \\= 10 000 cm$^2$ |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ 0.4 m$^2$ | \\= 0.4 × 10 000 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Louis bought a picnic rug with an area of 1.2 square metres.\n\n\r\n\r\nWhat is the area of the picnic rug in square centimetres?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 1 m$^2$ | \\= 100 cm × 100 cm |\n| | \\= 10 000 cm$^2$ |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ 1.2 m$^2$ | \\= 1.2 × 10 000 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Mandy bought a table cloth with an area of 1.8 square metres.\n\n\r\n\r\nWhat is the area of the table cloth in square centimetres?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 1 m$^2$ | \\= 100 cm × 100 cm |\n| | \\= 10 000 cm$^2$ |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ 1.8 m$^2$ | \\= 1.8 × 10 000 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]},{"vars":[{"varval":"Gough bought a canvas with an area of 0.2 square metres.\n\n\r\n\r\nWhat is the area of the canvas in square centimetres?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| 1 m$^2$ | \\= 100 cm × 100 cm |\n| | \\= 10 000 cm$^2$ |\n\n</div>\n\n<br>\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| $\\therefore$ 0.2 m$^2$ | \\= 0.2 × 10 000 |\n| | \\= {{{correctAnswer}}} |\n\n</div>"}]}]

Measurement, NAPX-I4-CA14 SA, NAPX-I3-CA22 SA - 82f0718f-f278-4040-9766-5bb985bbb84d - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Kate is freezing chicken stock liquid as a treat for her dog in summer.\n\n\r\n\r\nOne container requires 0.65 litres of liquid to fill it.\n\n\r\n\r\nHow many millilitres of liquid chicken stock would Kate need to fill up one container?"},{"varval":"1 litre = 1000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Liquid required | \\= 0.65 x 1000 |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Shelly is freezing red cordial for ice-block treats in summer.\n\nOne ice-block container requires 0.45 litres of red cordial to fill it.\n\nHow many millilitres of red cordial would it take to fill up 2 containers?"},{"varval":"1 litre = 1000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Red cordial required | \\= 2 x 0.45 x 1000 |\n| | \\= 2 x 450 |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"In a science experiment, Joanna pours 0.25 litres of solution into a container.\n\nShe repeats this 3 times.\n\nHow many millilitres of solution would it take Joanna to complete this task?"},{"varval":"1 litre = 1000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Solution required | \\= 3 x 0.25 x 1000 |\n| | \\= 3 x 250 |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Fred has a full 1-litre container of milk.\n\nHe pours 0.35 litres of milk onto his cereal for breakfast.\n\nHow many millilitres of milk are left in the container?"},{"varval":"1 litre = 1000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Milk left | \\= 1000 $-$ 350 |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Renee and Leisa are pouring liquid into an empty glass for a science experiment.\n\nRenee pours 100 millilitres into the glass.\n\nLeisa then pours 0.45 of a litre into the same glass.\n\nHow many millilitres of liquid are now in the glass?"},{"varval":"1 litre = 1000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Liquid in glass | \\= 100 + 0.45 x 1000 |\n| | \\= 100 + 450 |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]},{"vars":[{"varval":"Tango and Cash are pouring liquid into an empty glass for a science experiment.\n\nTango pours 200 millilitres into the glass.\n\nCash then pours 0.45 of a litre into the same glass.\n\nHow many millilitres of liquid are now in the glass?"},{"varval":"1 litre = 1000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Liquid in glass | \\= 200 + 0.45 x 1000 |\n| | \\= 200 + 450 |\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\n\n</div>"}]}]

Measurement, NAPX-J4-CA11 SA - d3213d9f-d09d-454a-a052-aa0a42240561 - (June 21, 2021)

Added categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Abigail has a 0.65 metre length of rope.\n\n\r\n\r\nShe cuts a 350 millimetre piece off it.\n\n\r\n\r\nHow long is the remaining length of rope?\n"},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n| Length remaining | \\= (0.65 × 1000) − 350 |\n| | \\= 650 − 350 |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]

Measurement, NAPX9-TL-D-CA14 v3 - 43f9fade-3ab9-47bb-8895-86a8ed11f20a - (June 21, 2021)

<div class="sm_mode"> Morris bought a compact car that is 1515 millimetres long. An equivalent car length is: </div>

[{"vars":null}]

Statistics, NAPX9-TLC-37 v1 - c206155d-e727-4e69-960c-1126ed0d39a6 - (June 21, 2021)

<div class="sm_mode"> Claire asked her classmates what their favourite food. The results were recorded in the pie chart below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/NAPX9-TLC-37-1.svg 400 indent vpad <br>Which food is the favourite of around a quarter of her classmates? </div>

[{"vars":null}]

Algebra, NAPX-E4-CA19, NAPX-E3-CA23 - 1e6c3340-8ac0-4bdb-b2c6-94b574c81f83 - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Clinton designs a line of tiles that repeats 6 different tiles in the same order, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-E4-CA19.svg 650 indent vpad\n\n<br>Each tile costs $7.50 and Clinton uses $240 worth of tiles.\r\n\r\nWhich of these is the last tile in his line of tiles?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Total number of tiles used | = $\\dfrac{240}{7.50}$ |\r\n| |= 32 |\r\n\r\n</div>\r\n\n\n<br>\n\n∴ Five full patterns of 6 tiles + 2 (i.e. the last tile is the second in the pattern)\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Mr Earp designs a line of tiles that repeats 6 different tiles in the same order, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-E4-CA19.svg 650 indent vpad\n\n<br>Each tile costs $13.70 and Mr Earp uses $548 worth of tiles.\r\n\r\nWhich of these is the last tile in his line of tiles?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Total number of tiles used | = $\\dfrac{548}{13.70}$ |\r\n| |= 40 |\r\n\r\n</div>\r\n\n<br>\n\n∴ Six full patterns of 6 tiles + 4 (i.e. the last tile is the\r 4th in the pattern)\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Klim decorated his fence with a line of tiles that repeats 6 different tiles in the same order, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-E4-CA19.svg 650 indent vpad\n\n<br>Each tile costs $9.50 and Klim uses $256.50 worth of tiles.\r\n\r\nWhich of these is the last tile in his line of tiles?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Total number of tiles used | = $\\dfrac{256.50}{9.50}$ |\r\n| |= 27 |\r\n\r\n</div>\r\n\n<br>\n\n∴ Four full patterns of 6 tiles + 3 (i.e. the last tile is the 3rd in the pattern)\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Danny decorated his patio with a line of tiles that repeats 6 different tiles in the same order, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAPX-E4-CA19-v3-min.svg 650 indent vpad\n\n<br>Each tile costs $11.50 and Danny uses $448.50 worth of tiles.\n\nWhich of these is the last tile in his line of tiles?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Total number of tiles used | = $\\dfrac{448.50}{11.50}$ |\n| |= 39 |\n| Total number of repititions | = $\\dfrac{39}{6}$ |\n| |= 6 remainder 3 |\n\n</div>\n\n<br>\n\n∴ Six full patterns of 6 tiles + 3 \n\n∴ The last tile is the 3rd tile in the pattern\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Shayna decorated her ensuite with a line of tiles that repeats 6 different tiles in the same order, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAPX-E4-CA19-v3-min.svg 650 indent vpad\n\n<br>Each tile costs $14.20 and Shayna uses $1263.80 worth of tiles.\n\nWhich of these is the last tile in her line of tiles?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Total number of tiles used | = $\\dfrac{1263.80}{14.20}$ |\n| |= 89 |\n| Total number of repititions | = $\\dfrac{89}{6}$ |\n| |= 14 remainder 5 |\n\n</div>\n\n<br>\n\n∴ 14 full patterns of 6 tiles + 5\n \n∴ The last tile is the 5th tile in the pattern\n\n{{{correctAnswer}}}"}]},{"vars":[{"varval":"Lincoln decorated his outdoor barbecue area with a line of tiles that repeats 6 different tiles in the same order, as shown below.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAPX-E4-CA19-v3-min.svg 650 indent vpad\n\n<br>Each tile costs $18.35 and Lincoln uses $1137.70 worth of tiles.\n\nWhich of these is the last tile in his line of tiles?"},{"varval":"<div class=\"aligned\">\n\n| | |\n| ------------: | ---------- |\n| Total number of tiles used | = $\\dfrac{1137.70}{18.35}$ |\n| |= 62 |\n| Total number of repititions | = $\\dfrac{62}{6}$ |\n| |= 10 remainder 2 |\n\n</div>\n\n<br>\n\n∴ 10 full patterns of 6 tiles + 2 \n∴ The last tile is the 2nd tile in the pattern\n\n{{{correctAnswer}}}"}]}]

Number, NAPX-F4-CA26 - ac9eed2c-22b3-4ba6-85b2-4582bd5b2fa3 - (June 21, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A red blood cell and a white blood cell have a combined total mass of $4.2 × 10^{−11}$ grams.\n\n\r\n\r\nIf the red blood cell has a mass of $2 × 10^{−12}$ grams, what is the mass of the white blood cell?\n"},{"varval":"$4.2 × 10^{−11}\\ −\\ 2 × 10^{−12}$\n\n\r\n>> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"A red blood cell and a white blood cell have a combined total mass of $5.3 × 10^{−9}$ grams.\n\n\r\n\r\nIf the red blood cell has a mass of $3 × 10^{−10}$ grams, what is the mass of the white blood cell?\n"},{"varval":"\n$5.3 × 10^{−9}\\ −\\ 3 × 10^{−10}$\n\n\r\n>> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Two mico-organisms have a combined total mass of $6.4 × 10^{−11}$ grams.\n\n\r\n\r\nIf one of the mico-organisms has a mass of $4 × 10^{−12}$ grams, what is the mass of the other micro-organism?"},{"varval":"$6.4 × 10^{−11}\\ −\\ 4 × 10^{−12}$\n\n\r\n>> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"In a single grain of salt, sodium and chlorine have a combined total mass of $3.8 × 10^{−12}$ grams.\n\n\r\n\r\nIf the sodium has a mass of $8 × 10^{−13}$ grams, what is the mass of the chlorine?\n"},{"varval":"$3.8 × 10^{−12}\\ −\\ 8 × 10^{−13}$\n\n\r\n>> = {{{correctAnswer}}}"}]},{"vars":[{"varval":"The active ingredients in a tablet, iodine and fluoride, have a combined total mass of $4.9 × 10^{−10}$ grams.\n\n\r\n\r\nIf the iodine has a mass of $9 × 10^{−11}$ grams, what is the mass of the fluoride?"},{"varval":"$4.9 × 10^{−10}\\ −\\ 9 × 10^{−11}$\n\n\r\n>> = {{{correctAnswer}}}"}]}]

Number, NAPX-J3-NC08 SA, NAPX-J2-42 SA - b1ec88fc-83fb-45c1-bedd-569d69ef296a - (June 21, 2021)

<div class="sm_mode"> Kyle and Jackie are standing in a line, waiting to go into their classroom. There are: * 7 people between Kyle and Jackie. * 15 people behind Jackie including Kyle. * 12 people in front of Kyle including Jackie. In total, how many people are in the line? </div>

[{"vars":null}]

Number, NAPX-I3-NC31 SA - ce48f302-7856-45ff-bc12-b1f294595c3f - (June 21, 2021)

<div class="sm_mode"> Daisy is in high school and her age this year is both a prime number and a factor of 51. In two years' time, Daisy's age will again be a prime number. What is Daisy's age this year? </div>

[{"vars":null}]

Number, NAPX-H3-NC28 - 3ad23cfc-f865-4f42-a4cb-103812af15d9 - (June 21, 2021)

<div class="sm_mode"> Two odd numbers, both greater than 1, have a product of 133? What is the sum of the two numbers? </div>

[{"vars":null}]

Algebra, NAPX-F4-CA13, NAPX-F3-CA20 - 06e7fe48-3e4b-40e2-aea1-e320940d6231 - (June 20, 2021)

Bump

<div class="sm_mode"> Rudy did a total of 400 push-ups in 5 days. After the first day, he did 10 more push-ups than the previous day. How may push-ups did he do on the first day? </div>

[{"vars":null}]

Statistics and Probability, NAPX-J3-CA17, NAPX-J2-31 - 0e43cbff-a324-42f2-a931-28a0a441cf4d - (June 20, 2021)

<div class="sm_mode"> The bottles in Leisa's fridge are pictured below. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-J3-CA17_1-768x253.png 500 indent2 vpad <br>Leisa decides to make a graph where each bar represents one type of bottle in her fridge. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-J3-CA17.svg 500 indent2 vpad <br>Leisa makes an error when creating the graph. What should Leisa do to correct the error? </div>

[{"vars":null}]

Statistics and Probability, NAPX-I4-NC06, NAPX-I3-NC08 - 4107380a-26b3-4d73-8266-a55b5b5e6a49 - (June 20, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nThe heights, in centimetres, of Coriander's netball side are as follows:\n \n\n>> 143, 150, 147, 142, 147, 153, 148, 142, 147\n\n\n<br>\n \nSelect the dot plot that correctly displays the data.\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"\nThe distances, in kilometres, of Klaus's training runs over a ten day period are as follows:\n \n\n>> 8, 5, 6, 8, 9, 10, 12, 6, 10, 6\n\n\n<br>\n \nSelect the dot plot that correctly displays the data.\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The test marks from a recent Statistics test out of 36 are as follows:\n \n\n>> 27, 25, 33, 29, 27, 30, 28, 29, 35, 33, 29, 28\n\n\n<br>\n \nSelect the dot plot that correctly displays the data.\n"},{"varval":"{{{correctAnswer}}}"}]},{"vars":[{"varval":"The heights, in centimetres, of David's hockey side are as follows:\n \n\n>> 172, 177, 171, 174, 174, 176, 173, 177, 174, 172, 174,\n\n\n<br>\n \nSelect the dot plot that correctly displays the data.\n"},{"varval":"{{{correctAnswer}}}"}]}]

Algebra, NAPX-F3-CA18 - 5416e29e-f1e1-4b2b-a4ab-dc9843935ed6 - (June 20, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jasper used this rule to make a number pattern.\r\n\r\n\n* Start with 3.\r\n\n\r\n* To get the next number, multiply by 3 then deduct 5.\n\n<br>\r\n\r\n\nThe first four numbers in his pattern were 3, 4, 7, 16.\r\n\r\n\nWhat was the sixth number in his pattern?"},{"varval":"Fifth number\n\n>16 × 3 − 5 = 48 − 5 = 43\n\n<br>\n\n\nSixth number\r\n\n>43 × 3 − 5 = 129 − 5 = {{{correctAnswer}}}"}]},{"vars":[{"varval":"Felicity used this rule to make a number pattern.\r\n\r\n\n* Start with 7.\r\n\n\r\n* To get the next number, multiply by 2 then deduct 4.\n\n<br>\r\n\r\n\nThe first four numbers in Felicity's pattern were 7, 10, 16, 28.\r\n\r\n\nWhat was the sixth number in her pattern?"},{"varval":"Fifth number:\n\n>28 × 2 − 4 = 56 − 4 = 52\n\n<br>Sixth number\r:\n\n>52 × 2 − 4 = 104 − 4 = {{{correctAnswer}}}"}]}]

Algebra, NAPX-E4-NC05 - 7f5ae9c7-a953-4591-b4ff-8230319229ba - (June 20, 2021)

<div class="sm_mode"> Raven makes the following pattern of figures using sticks. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-E4-NC05.svg 550 indent vpad How many sticks will Figure 6 require? </div>

[{"vars":null}]

Statistics and Probability, NAPX-L4-CA16 v1 - c9d4b1ea-f72e-4bb7-b96f-bd1c100cf7e7 - (June 20, 2021)

Var2 has no border around tyhe graph ... can the border be removed off Var1,3,4? Done Var 4 ... questioin image - on Safari, the "Months" label of the x-axis has moved up and is written ove rthe months of "Jun" and "Aug" Not sure how that happened but it's fixed now.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"This graph shows the number of people in Australia, in millions, who wear watches on their wrist, from 1998 to 2018.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2020/03/NAPX-L4-16-ver1.svg 500 indent vpad\r\n\n<br>Which of these statements about the graph is true?\n"},{"varval":"People wearing watches in 2013 ≈ 3.1 million \r\n\nPeople wearing watches in 2018 ≈ 2.3 million\r\n\n$\\therefore$ Decreased by more than 500 000 between 2013 and 2018.\n"}]},{"vars":[{"varval":"This graph shows the number of businesses in New South Wales for the Years 2016 to 2020.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stats_Prob_NAPX-L4-CA16-v1_v1_a.svg 520 indent vpad\r\n\n<br>Which of these statements about the graph is true?\n"},{"varval":"Businesses in 2016 ≈ 729 000\r\n\nBusinesses in 2017 ≈ 752 000\n\nBusinesses in 2018 ≈ 781 000\n\nBusinesses in 2019 ≈ 802 000\n\nBusinesses in 2020 ≈ 820 000\r\n\n$\\therefore$ The biggest increase of approximately 29 000 businesses occurs from 2017 to 2018.\n"}]},{"vars":[{"varval":"This graph shows the number of building approvals in Victoria for the first 6 months of 2022.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stats_Prob_NAPX-L4-CA16-v1_v2b.svg 600 indent vpad\r\n\n<br>Which of these statements about the graph is true?\n"},{"varval":"\nArrange the scores in order:\n\n>>3000, 4500, 5000, 5500, 5750, 6000\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Median | \\= Middle score when arranged in order |\n| | \\= Average of the 3rd and 4th scores|\n| | \\= $\\dfrac{5000+5500}{2}$|\r\n| | \\= 5250 approvals|\r\n\r\n</div>\n<br>\n\n$\\therefore$ The median number of building approvals during the first 6 months of 2022 was 5250 approvals.\n\n\r\n"}]},{"vars":[{"varval":"This graph shows the estimated resident population of Tasmania from 2016 to 2021.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stats_Prob_NAPX-L4-CA16-v1_v3a.svg 450 indent vpad\r\n\n<br>Which of these statements about the graph is true?"},{"varval":"Consider option 1:\n\nIncrease in population from 2020 to 2021 = 5 000 people \r\n\nIncrease in population from 2019 to 2020 = 10 000 people \r\n\n$\\therefore$ {{{correctAnswer}}}"}]},{"vars":[{"varval":"This graph shows a company's monthly profits for a 12 month period.\n\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stats_Prob_NAPX-L4-CA16-v1_v4_b.svg 500 indent vpad\r\n\nWhich of these statements about the graph is true?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| Range | \\= high − low |\n| | \\= $320\\ 000 - 100\\ 000$ |\r\n| | \\= $220 000 |\r\n\r\n</div>\r\n<br>\n\n$\\therefore$ The range of monthly profits for the 12 month period is $220 000."}]}]

Statistics and Probability, NAPX-J4-CA17 - b6c3d4c0-6132-4302-9fa7-24d791fed546 - (June 20, 2021)

<div class="sm_mode"> Marley is comparing the average daily rainfall in the towns of Byron Bay and Coffs Harbour in January. What method below is the most valid? </div>

[{"vars":null}]

Statistics, NAPX9-TLB-16 v1 - 1557cec6-a051-4b37-9e2e-8e2078ee7c1f - (June 20, 2021)

Var5 graph ... the x-axis values of $1,000 and $1,100 overlap on Safari. I would make the Axis label "Sales Achieved ($)" and make 1,000 = 1000 etc... to make extra room ***Fixed

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The results of a general knowledge test are shown in the graph below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX9-TLB-16v1_v0.svg 300 indent vpad\r\n\nHow many students scored 70 or less?\n"},{"varval":"sm_nogap Number of students who scored 70 or less\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n ---------- |\r\n| \\= $8+4+10+8$ |\r\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The results of a spelling quiz are shown in the graph below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX9-TLB-16v1_v1.svg 300 indent vpad\r\n\nHow many students scored 35 or more?\n"},{"varval":"sm_nogap Number of students who scored 35 or more\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n ---------- |\r\n| \\= $12+14+10+6$ |\r\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The results of a mathematics test are shown in the graph below.\n\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX9-TLB-16v1_v2.svg 300 indent vpad\r\n\nIf the test was out of 30, how many students scored less than 50%?\n"},{"varval":"50% $\\times$ 30 = 15\n\nsm_nogap Number of students who scored less than 15\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n ---------- |\r\n| \\= $6+8+9$ |\r\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The results of a reading test are shown in the graph below.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX9-TLB-16v1_v3a.svg 300 indent vpad\r\n\nIf the test was out of 10, how many students scored 70% or more?\n"},{"varval":"70% $\\times$ 10 = 7\n\nsm_nogap Number of students who scored 7, 8, 9 or 10\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n ---------- |\r\n| \\= $5+7+6+4$ |\r\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The position of riders in an 80 kilometre race was tracked after 2 hours and the results are show in the graph below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX9-TLB-16v1_v4.svg 300 indent vpad\r\n\nFrom the graph, how many riders are still more than half way from home after 2 hours?\n"},{"varval":"$\\dfrac{1}{2} \\times\\ 80 = 40$\n\nsm_nogap Number of riders more than 40 kilometres from home\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n ---------- |\r\n| \\= $7+4$ |\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The sales targets of employees at a company are shown in the graph below.\n\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/09/Stat_NAPX9-TLB-16v1_v5a.svg 440 indent vpad\r\n\nHow many employees reached the sales target of at least $800 in sales?\n"},{"varval":"sm_nogap Number of employees who reached the target of at least $800\n\n<div class=\"aligned\">\r\n\r\n>| |\r\n ---------- |\r\n| \\= $16+21+22+26$ |\r\n| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n"}]}]

Statistics, NAPX9-TLC-26 v4 - 6caf5569-104e-4409-9d32-46ad8e7768aa - (June 20, 2021)

var1: Statistics, NAPX9-TLC-26 v3

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Oliver is doing an inventory of his fruit shop.\r\n\r\nThe cost and quantity of some of the inventory is recorded in the table below.\n\n<br>\n\n<div class=\"outline color1\">\n\n>> | Product | Cost/kg | Quantity (kgs) | Total Cost |\n> | :-----------: | :----------: | :------------: | :------------: |\n> | **Bananas** | $1.20 | 29 | $34.80 |\n> | **Apples** | $1.80 | 20 | $36.00 |\n> | **Cherries** | $1.40 | 40 | $56.00 |\n> | **Dates** | $2.10 | 27 | $56.70 |\n\n</div>\n\n<br>How did Oliver order the data in this table?"},{"varval":"The data on total cost is arranged from lowest to highest.\r\n\n$\\therefore$ Data is ordered by total cost."}]},{"vars":[{"varval":"Jason took a survey of four friends in his class and recorded the results in the table below.\n\n<br>\n\n<div class=\"outline color1\">\n\n>> | NAME | AGE | HEIGHT (cm) | WEIGHT (kg) | Math grade (%) |\n> | :-----------: | :----------: | :------------: | :------------: | :------------: |\n> | **Jack** | 16 | 160 | 50 | 90 |\n> | **Remy** | 17 | 172 | 53 | 85 |\n> | **Charlize** | 17 | 163 | 56 |92|\n> | **Leo** | 16 | 168 | 62 | 88 |\n\n</div>\n\n<br>How did Jason order his data?"},{"varval":"The data on weight is arranged from lightest to heaviest.\r\n\n$\\therefore$ Data is ordered by weight."}]},{"vars":[{"varval":"Tony took a survey of participants in his triathlon group and recorded the results in the table below.\r\n\r\n\n\n<br>\n\n<div class=\"outline color1\">\n\n>> | NAME | AGE | RUN (5 km) | SWIM (750 m) | CYCLE (20 km) |\n> | :-----------: | :----------: | :------------: | :------------: | :------------: |\n> | **Amy** | 24 | 18 min 20 sec | 13 min 10 sec | 19 min 40 sec |\n> | **John** | 30 | 20 min 10 sec | 17 min 4 sec | 19 min 55 sec |\n> | **Mike** | 28 | 23 min 45 sec| 16 min 12 sec |23 min 5 sec|\n> | **Maxine** | 18 | 26 min 40 sec | 15 min 34 sec | 22 min 15 sec |\n\n</div>\n\n<br>How did Tony order his data?"},{"varval":"The data on run (5 km) is arranged from lowest to highest.\r\n\n$\\therefore$ Data is ordered by run."}]},{"vars":[{"varval":"Holly is doing an inventory of her Christmas decoration shop.\r\n\r\nThe cost and quantity of some of the inventory is recorded in the table below.\n\n<br>\n\n<div class=\"outline color1\">\n\n>> | Product | Cost | Quantity | Total Cost |\n> | :-----------: | :----------: | :------------: | :------------: |\n> | **Baubles** | $4.80 each | 10 | $48.00 |\n> | **Tinsel** | $5.60 each | 20 | $112.00 |\n> | **Lights** | $6.80 each | 13 | $88.40 |\n> | **Trees** | $14.50 each| 15 | $217.50 |\n\n</div>\n\n<br>How did Holly order the data in this table?"},{"varval":"The data on cost is arranged from lowest to highest.\r\n\n$\\therefore$ Data is ordered by cost."}]},{"vars":[{"varval":"Marco is doing an inventory of his pizza sales over the weekend.\r\n\r\nThe cost and quantity of some of the inventory is recorded in the table below.\n\n<br>\n\n<div class=\"outline color1\">\n\n>> | Product | Cost/pizza | Quantity Sold | Total Cost |\n> | :-----------: | :----------: | :------------: | :------------: |\n> | **Margarita** | $5.40 | 23 | $124.20 |\n> | **Pepperoni** | $6.50 | 20 | $130.00 |\n> | **Supreme** | $7.00 | 15 | $105.00 |\n> | **Vegetarian** | $4.80 | 12 | $57.60 |\n\n</div>\n\n<br>How did Marco order the data in this table?"},{"varval":"The data on quantity sold is arranged from highest to lowest.\r\n\n$\\therefore$ Data is ordered by quantity sold."}]},{"vars":[{"varval":"April is doing an inventory of her coffee van sales on Monday.\r\n\r\nThe cost and quantity of some of the inventory is recorded in the table below.\n\n<br>\n\n<div class=\"outline color1\">\n\n>> | Product | Cost/cup | Quantity | Total Cost |\n> | :-----------: | :----------: | :------------: | :------------: |\n> | **Cappuccino** | $5.40 | 23 | $124.20 |\n> | **Latte** | $5.20 | 24 | $124.80 |\n> | **Flat White** | $5.00 | 27 | $135.00 |\n> | **Hot Chocolate** | $5.30 | 26 | $137.80 |\n\n</div>\n\n<br>How did April order the data in this table?"},{"varval":"The data on total cost is arranged from lowest to highest.\r\n\n$\\therefore$ Data is ordered by total cost."}]}]

Algebra, NAPX-I4-CA32 SA - b0c04f88-7888-46c9-ae91-527645e3f9b3 - (June 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A miniature engine contains two types of ball bearings.\r\n\r\nThere are two times as many small ball bearings as large ball bearings.\r\n\r\nThe mass of a small ball bearing is 190 milligrams and the mass of a large ball bearing is 300 milligrams.\r\n\r\nThe total mass of all the ball bearings in the engine is 238 grams.\r\n\r\nHow many ball bearings in total are used in the engine?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ 2\\large x$ | \\= number of small bearings |\r\n| $\\large x$ | \\= number of large bearings |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $2\\large x$(0.190) + $\\large x$(0.300) | \\= 238 |\n| $0.38\\large x$ + 0.3$\\large x$ | \\= 238 |\n| $0.68\\large x$ | \\= 238 |\n| $\\therefore \\ \\large x$ | \\= $\\dfrac{238}{0.68}$ |\n| | \\= 350 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total ball bearings | \\= (2 $\\times$ 350) + 350 |\n| | \\= {{{correctAnswer0}}} |\n\n\r\n\r\n</div>"}]},{"vars":[{"varval":"A recipe contains two types of dry ingredients.\r\n\r\nThere is two times as much almond meal as plain flour.\r\n\r\nThe mass of a cup of almond meal is 84 grams and the mass of a cup of plain flour is 120 grams.\r\n\r\nThe total mass of all the dry ingredients in the recipe is 2.304 kilograms.\r\n\r\nHow many cups of dry ingredients in total are used in the recipe?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ 2\\large x$ | \\= amount of almond meal |\r\n| $\\large x$ | \\= amount of plain flour |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $2\\large x$(0.084) + $\\large x$(0.120) | \\= 2.304 |\n| $0.168\\large x$ + 0.120$\\large x$ | \\= 2.304 |\n| $0.288\\large x$ | \\= 2.304 |\n| $\\therefore \\ \\large x$ | \\= $\\dfrac{2.304}{0.288}$ |\n| | \\= 8 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total cups of dry ingredients | \\= (2 $\\times$ 8) + 8 |\n| | \\= {{{correctAnswer0}}} |\n\n\r\n\r\n</div>"}]},{"vars":[{"varval":"A BMX race track is made up of straight sections and hill climb sections.\r\n\nThere are three times as many straight sections as hill climb sections.\r\n\r\nThe length of each straight section is 2380 metres and the length of each hill climb section is 860 metres.\r\n\r\nThe total length of all sections is 24 kilometres.\r\n\r\nHow many racing sections in total make up the BMX track?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ 3\\large x$ | \\= number of straight sections |\r\n| $\\large x$ | \\= number of hill climb sections |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $3\\large x$(2.38) + $\\large x$(0.86) | \\= 24 |\n| $7.14\\large x$ + 0.86$\\large x$ | \\= 24 |\n| $8\\large x$ | \\= 24 |\n| $\\therefore \\ \\large x$ | \\= $\\dfrac{24}{8}$ |\n| | \\= 3 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total racing sections | \\= (3 $\\times$ 3) + 3 |\n| | \\= {{{correctAnswer0}}} |\n\n\r\n\r\n</div>"}]},{"vars":[{"varval":"A herb garden contains two types of herbs.\r\n\r\nThere are four times as many parsley plants as oregano plants.\r\n\r\nThe parsley plant requires 120 millilitres of liquid fertiliser per week and an oregano plant requires 150 millilitres of liquid fertiliser per week.\r\n\r\nThe total number of litres of liquid fertiliser used in the herb garden each week is 50.4 litres.\r\n\r\nHow many herb plants in total are in the garden?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ 4\\large x$ | \\= number of parsley plants|\r\n| $\\large x$ | \\= number of oregano plants |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $4\\large x$(0.120) + $\\large x$(0.150) | \\= 50.4 |\n| $0.48\\large x$ + 0.15$\\large x$ | \\= 50.4 |\n| $0.63\\large x$ | \\= 50.4 |\n| $\\therefore \\ \\large x$ | \\= $\\dfrac{50.4}{0.63}$ |\n| | \\= 80 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total herb plants | \\= (4 $\\times$ 80) + 80 |\n| | \\= {{{correctAnswer0}}} |\n\n\r\n\r\n</div>"}]},{"vars":[{"varval":"A diamond necklace contains two types of diamonds.\r\n\r\nThere are three times as many square cut diamonds as round cut diamonds.\r\n\r\nThe size of each square cut diamond is 0.9 carats and the size of each round cut diamond is 0.75 carats.\r\n\r\nThe total mass, in carats, of all the diamonds in the necklace is 51.75.\r\n\r\nHow many diamonds in total are used in the necklace?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ 3\\large x$ | \\= number of square cut diamonds |\r\n| $\\large x$ | \\= number of round cut diamonds |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $3\\large x$(0.90) + $\\large x$(0.75) | \\= 51.75 |\n| $2.7\\large x$ + 0.75$\\large x$ | \\= 51.75 |\n| $3.45\\large x$ | \\= 51.75 |\n| $\\therefore \\ \\large x$ | \\= $\\dfrac{51.75}{3.45}$ |\n| | \\= 15 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total diamonds | \\= (3 $\\times$ 15) + 15 |\n| | \\= {{{correctAnswer0}}} |\n\n\r\n\r\n</div>"}]},{"vars":[{"varval":"A coffee shop sells two types of muffins.\r\n\r\nThere are two times as many blueberry muffins as choc chip muffins.\r\n\r\nThe energy, in kilojoules, of a blueberry muffin is 2140 kilojoules and the energy of a choc chip muffin is 2470 kilojoules.\r\n\r\nThe total energy of all the muffins in the coffee shop is $101\\ 250$ kilojoules.\r\n\r\nHow many muffins in total are for sale in the coffee shop?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ 2\\large x$ | \\= number of blueberry muffins |\r\n| $\\large x$ | \\= number of choc chip muffins |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $2\\large x$(2140) + $\\large x$(2470) | \\= 101 250 |\n| $4280\\large x$ + 2470$\\large x$ | \\= 101 250 |\n| $6750\\large x$ | \\= $101\\ 250$ |\n| $\\therefore \\ \\large x$ | \\= $\\dfrac{101\\ 250}{6750}$ |\n| | \\= 15 |\r\n\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Total muffins | \\= (2 $\\times$ 15) + 15 |\n| | \\= {{{correctAnswer0}}} |\n\n\r\n\r\n</div>"}]}]

Algebra, NAPX9-TLF-CA40 SA v3 - b65503b0-8608-4a19-b759-1f68ecbf3b6a - (June 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"May created liquid sanitiser by mixing the four liquids: water, alcohol, solution A and solution B.\r\n\r\nShe makes 650 litres of the sanitiser according to the following instructions:\r\n\r\n\n* 60% of the mixture is water.\r\n\n* Solution A is used in the same volume as Solution B.\r\n\n* The volume of alcohol is three times the volume of Solution B.\r\n\n\nHow many litres of Solution A are required to make 650 litres of the sanitiser?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Volume of water | \\= $60\\% \\times 650$|\r\n| | \\= 390 litres |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Volume of remaining liquids\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 650 $-$ 390 |\r\n| \\= 260 litres |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Let $\\ \\large x$ = volume of Solution A\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large x$ + $\\large x$ + 3$\\large x$ | \\= 260 |\n| $5\\large x$ | \\= 260 |\n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Justine created garden soil by mixing the four ingredients: compost, peat moss, cow manure and vermiculite.\r\n\r\nShe makes 450 kilograms of the garden soil according to the following instructions:\r\n\r\n\n* 30% of the mixture is compost.\r\n\n* peat moss is used in the same amount as vermiculite.\r\n\n* The amount of cow manure is one-third of the amount of the peat moss.\r\n\n\nHow many kilograms of peat moss are required to make 450 kilograms of the garden soil?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Amount of compost | \\= $30\\% \\times 450$|\r\n| | \\= 135 kilograms |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Amount of remaining ingredients\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 450 $-$ 135 |\r\n| \\= 315 kilograms |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Let $\\ \\large x$ = amount of peat moss\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large x$ + $\\large x$ + $\\dfrac{1}{3}\\large x$ | \\= 315 |\n| $\\dfrac{7}{3}\\large x$ | \\= 315 |\n| $\\large x$ | = 315 $\\times\\ \\dfrac{3}{7}$ |\n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Mel made a jug of green smoothies for her friends by mixing the four ingredients: kale, avocado, ice and almond milk.\r\n\r\nShe makes 4 litres of the green smoothie according to the following instructions:\r\n\r\n\n* 50% of the mixture is avocado.\r\n\n* Almond milk is used in the same volume as ice.\r\n\n* The volume of kale is two times the volume of ice.\r\n\n\nHow many millilitres of almond milk are required to make 4 litres of the green smoothie?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Volume of avocado | \\= $50\\% \\times 4$|\r\n| | \\= 2 litres |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Volume of remaining ingredients\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 4 $-$ 2 |\r\n| \\= 2 litres |\n| \\= 2000 millilitres |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Let $\\ \\large x$ = volume of almond milk\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large x$ + $\\large x$ + 2$\\large x$ | \\= 2000 |\n| $4\\large x$ | \\= 2000 |\n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Jerry was preparing to lay a small cement slab in his back yard.\n\nHe mixed the four ingredients: cement, rock, sand and water.\n\n\r\n\r\nJerry makes 50 kilograms of the cement mix according to the following instructions:\r\n\r\n\n* 40% of the mixture is rock.\r\n\n* the same mass of sand and water is used.\r\n\n* The mass of cement is half the mass of sand.\r\n\n\nHow many kilograms of sand are required to make 50 kilograms of the cement mix?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Mass of rock | \\= $40\\% \\times 50$|\r\n| | \\= 20 kilograms |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Mass of remaining ingredients\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 50 $-$ 20 |\r\n| \\= 30 kilograms |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Let $\\ \\large x$ = mass of sand\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large x$ + $\\large x$ + $\\dfrac{1}{2}\\large x$ | \\= 30 |\n| $\\dfrac{5}{2}\\large x$ | \\= 30 |\n| $\\large x$ | = 30 $\\times\\ \\dfrac{2}{5}$ |\n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Julie is creating an exercise program.\n\nShe includes the four exercises: burpees, squats, push ups and box jumps.\n\n\r\n\r\nThe program requires 420 individual repetitions of the exercises given the following instructions:\r\n\r\n\n* 20% of the repetitions are push ups.\r\n\n* squat repetitions are double burpee repetitions.\r\n\n* box jump repetitions are half burpee repetitions.\n\nHow many repetitions of burpees are included in Julie's 420 repetition exercise program?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Push up repetitions | \\= $20\\% \\times 420$|\r\n| | \\= 84 repetitions |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Repetitions of remaining exercises\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 420 $-$ 84 |\r\n| \\= 336 repetitions |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Let $\\ \\large x$ = burpee repetitions\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $2\\large x$ + $\\large x$ + $\\dfrac{1}{2}\\large x$ | \\= 336 |\n| $\\dfrac{7}{2}\\large x$ | \\= 336 |\n| $\\large x$ | = 336 $\\times\\ \\dfrac{2}{7}$ |\n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Kira is organising her school's athletics carnival.\n\nIn the morning session she rotates the Year 9 participants through 4 activities: 100 metres sprint, discus, shot put and high jump.\n\n\r\n\r\nThe morning session is 2 hours long and time is allocated using the following constraints:\r\n\r\n\n* 40% of the total time allocation is taken up by high jump.\r\n\n* discus and shot put are allocated an equal amount time.\r\n\n* The 100 metres sprint is allocated one quarter the amount of time of shot put.\r\n\nWhat is the amount of time, in minutes, allocated to shot put during the 2 hour morning session?"},{"varval":"2 hours $\\Rightarrow$ 120 minures\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| High jump time allocation | \\= $40\\% \\times 120$|\r\n| | \\= 48 minutes |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Time allocation of remaining activities\n\n<div class=\"aligned\">\r\n\r\n>>| |\r\n| ---------- |\r\n| \\= 120 $-$ 48 |\r\n| \\= 72 minutes |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Let $\\ \\large x$ = shot put time allocation\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large x$ + $\\large x$ + $\\dfrac{1}{4}\\large x$ | \\= 72 |\n| $\\dfrac{9}{4}\\large x$ | \\= 72 |\n| $\\large x$ | = 72 $\\times\\ \\dfrac{4}{9}$ |\n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-G4-CA30 - a1be7f3f-c8c8-430c-805f-3b44cf7f9109 - (June 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nBellarose collects insects.\r\n\r\n$\\dfrac{1}{4}$ of her collection are beetles and $\\dfrac{1}{6}$ of her collection are bees.\r\n\r\nBellarose has 6 more beetles than bees in her collection.\r\n\r\nHow many insects are in Bellarose's collection in total?\n"},{"varval":"Solution 1\n\nsm_nogap Let $\\ \\large x$ = total number of insects\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{1}{4}\\large x$ $-$ $\\dfrac{1}{6}\\large x$ | \\= 6 |\n| $\\dfrac{3}{12}\\large x$ $-$ $\\dfrac{2}{12}\\large x$ | \\= 6 |\r\n| $\\dfrac{1}{12}\\large x$ | \\= 6 |\r\n| $\\large x$| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n\n<br>\n\nSolution 2\r\n\nBy trial and error:\n\n$\\dfrac{1}{4} \\times 72=18$ beetles\r\n\n$\\dfrac{1}{6} \\times 72=12$ bees\n\nbeetles\r $-$ bees = 18 $-$ 12 = 6\n\n$\\therefore$ {{{correctAnswer}}} insects in total."}]},{"vars":[{"varval":"Edgell grows vegetables in a market garden.\r\n\r\n$\\dfrac{1}{5}$ of his crop are carrots and $\\dfrac{1}{4}$ of his crop are potatoes.\r\n\r\nEdgell has 95 more potato plants than carrots in his market garden.\r\n\r\nHow many plants are in Edgell's market garden in total?\n"},{"varval":"Solution 1\n\nsm_nogap Let $\\ \\large x$ = total number of plants\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{1}{4}\\large x$ $-$ $\\dfrac{1}{5}\\large x$ | \\= 95 |\n| $\\dfrac{5}{20}\\large x$ $-$ $\\dfrac{4}{20}\\large x$ | \\= 95 |\r\n| $\\dfrac{1}{20}\\large x$ | \\= 95 |\r\n| $\\large x$| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n\n<br>\n\nSolution 2\r\n\nBy trial and error:\n\n$\\dfrac{1}{4} \\times 1900=475$ potatoes\r\n\n$\\dfrac{1}{5} \\times 1900=380$ carrots\n\npotatoes $-$ carrots = 475 $-$ 380 = 95\n\n$\\therefore$ {{{correctAnswer}}} plants in total."}]},{"vars":[{"varval":"Sage collects sea shells on the beach.\r\n\r\n$\\dfrac{1}{2}$ of her collection are scallop shells and $\\dfrac{1}{3}$ of her collection are cowrie shells.\r\n\r\nSage has 16 more scallop shells than cowrie shells in her collection.\r\n\r\nHow many sea shells are in Sage's collection in total?\n"},{"varval":"Solution 1\n\nsm_nogap Let $\\ \\large x$ = total number of sea shells\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{1}{2}\\large x$ $-$ $\\dfrac{1}{3}\\large x$ | \\= 16 |\n| $\\dfrac{3}{6}\\large x$ $-$ $\\dfrac{2}{6}\\large x$ | \\= 16 |\r\n| $\\dfrac{1}{6}\\large x$ | \\= 16 |\r\n| $\\large x$| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n\n<br>\n\nSolution 2\r\n\nBy trial and error:\n\n$\\dfrac{1}{2} \\times 96=48$ scallop shells\n\n$\\dfrac{1}{3} \\times 96=32$ cowrie shells\n\nscallop shells $-$ cowrie shells = 48 $-$ 32 = 16\n\n$\\therefore$ {{{correctAnswer}}} sea shells in total."}]},{"vars":[{"varval":"Sydney writes backing music for advertisements.\r\n\r\n$\\dfrac{3}{5}$ of the money he has earned came from music he wrote in 2019 and $\\dfrac{1}{2}$ of the money he has earned came from music he wrote in 2020.\r\n\r\nSydney earned $24 000 more in 2019 than in 2020.\r\n\r\nHow much money has Sydney earned in total?\n"},{"varval":"Solution 1\n\nsm_nogap Let $\\ \\large x$ = total amount earned\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{3}{5}\\large x$ $-$ $\\dfrac{1}{2}\\large x$ | \\= $24 000 |\n| $\\dfrac{6}{10}\\large x$ $-$ $\\dfrac{5}{10}\\large x$ | \\= $24 000 |\r\n| $\\dfrac{1}{10}\\large x$ | \\= $24 000 |\r\n| $\\large x$| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n\n<br>\n\nSolution 2\r\n\nBy trial and error:\n\n$\\dfrac{3}{5} \\times 240\\ 000=144 \\ 000$\n\n$\\dfrac{1}{2} \\times 240\\ 000 = 120 \\ 000$\n\n2019 earnings $-$ 2020 earnings = 144 000 − 120 000 = $24 000\n\n$\\therefore$ {{{correctAnswer}}} earnings in total."}]},{"vars":[{"varval":"A bag contains coloured discs.\r\n\r\n$\\dfrac{2}{3}$ of the discs are purple and $\\dfrac{1}{6}$ of the discs are orange.\r\n\r\nThe bag has 18 more purple discs than orange discs.\r\n\r\nHow many discs are in the bag in total?\n"},{"varval":"Solution 1\n\nsm_nogap Let $\\ \\large x$ = total number of discs\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{2}{3}\\large x$ $-$ $\\dfrac{1}{6}\\large x$ | \\= 18 |\n| $\\dfrac{4}{6}\\large x$ $-$ $\\dfrac{1}{6}\\large x$ | \\= 18 |\r\n| $\\dfrac{1}{2}\\large x$ | \\= 18 |\r\n| $\\large x$| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n\n<br>\n\nSolution 2\r\n\nBy trial and error:\n\n$\\dfrac{2}{3} \\times 36=24$ purple discs\r\n\n$\\dfrac{1}{6} \\times 36=6$ orange discs\n\npurple\r $-$ orange = 24 $-$ 6 = 18\n\n$\\therefore$ {{{correctAnswer}}} discs in total."}]},{"vars":[{"varval":"iWatch streams a selection of movies, series and documentaries.\r\n\r\n$\\dfrac{3}{5}$ of the shows are movies and $\\dfrac{3}{20}$ of the shows are documentaries.\r\n\r\niWatch is currently streaming 36 more movies than documentaries.\r\n\r\nHow many shows are being streamed in total?"},{"varval":"Solution 1\n\nsm_nogap Let $\\ \\large x$ = total number of shows being streamed\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{3}{5}\\large x$ $-$ $\\dfrac{3}{20}\\large x$ | \\= 36 |\n| $\\dfrac{12}{20}\\large x$ $-$ $\\dfrac{3}{20}\\large x$ | \\= 36 |\n| $\\dfrac{9}{20}\\large x$ | \\= 36 |\n| $\\large x$ | \\= $\\dfrac{20}{9} \\times 36$ |\r\n| $\\large x$| \\= {{{correctAnswer}}} |\r\n\r\n</div>\r\n\n<br>\n\nSolution 2\r\n\nBy trial and error:\n\n$\\dfrac{3}{5} \\times 80=48$ movies\r\n\n$\\dfrac{3}{20} \\times 80=12$ documentaries\n\nmovies\r $-$ documentaries = 48 $-$ 12 = 36\n\n$\\therefore$ {{{correctAnswer}}} shows in total."}]}]

Algebra, NAPX-H4-CA29 - aeacd904-c85c-451e-8a49-ed2c41d6faf2 - (June 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-H4-CA292.svg 300 indent3 vpad\r\n\nWhich of these equations represents the line in the graph?"},{"varval":"\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large y$ intercept | \\= 5 |\n| Gradient | \\= $\\dfrac{\\text{rise}}{\\text{run}}$ |\n| | \\= $\\dfrac{-5}{1.25}$ |\n| | \\= $-4$ |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Equation is {{{correctAnswer}}}\n\n"}]}]

Algebra, NAPX-J4-CA36 SA - 332e7d29-6e54-4e1e-88f8-6880b389a4b2 - (June 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"In this inequality $\\large n$ is a whole number.\r\n\r\n\n>$\\dfrac{5}{\\large n} < \\dfrac{3}{5}$\r\n\n<br>What is the smallest possible value for $\\large n$ to make this inequality true?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{5}{\\large n}$ | < $\\dfrac{3}{5}$ |\n| $3\\large n$ | > 25 |\n| $\\large n$ | > $\\dfrac{25}{3}$ |\r\n| $\\large n$ | > 8.33... |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Smallest $\\ \\large n$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"In this inequality $\\large x$ is a whole number.\r\n\r\n\n>$\\dfrac{7}{\\large x} < \\dfrac{4}{3}$\r\n\n<br>What is the smallest possible value for $\\large x$ to make this inequality true?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{7}{\\large x}$ | < $\\dfrac{4}{3}$ |\n| $4\\large x$ | > 21 |\n| $\\large x$ | > $\\dfrac{21}{4}$ |\r\n| $\\large x$ | > 5.25 |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Smallest $\\ \\large x$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"In this inequality $\\large n$ is a whole number.\r\n\r\n\n>$\\dfrac{9}{\\large n} < \\dfrac{7}{4}$\r\n\n<br>What is the smallest possible value for $\\large n$ to make this inequality true?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{9}{\\large n}$ | < $\\dfrac{7}{4}$ |\n| $7\\large n$ | > 36 |\n| $\\large n$ | > $\\dfrac{36}{7}$ |\r\n| $\\large n$ | > 5.142... |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Smallest $\\ \\large n$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"In this inequality $\\large m$ is a whole number.\r\n\r\n\n>$\\dfrac{11}{\\large m} < \\dfrac{3}{4}$\r\n\n<br>What is the smallest possible value for $\\large m$ to make this inequality true?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{11}{\\large m}$ | < $\\dfrac{3}{4}$ |\n| $3\\large m$ | > 44 |\n| $\\large m$ | > $\\dfrac{44}{3}$ |\r\n| $\\large m$ | > 14.66... |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Smallest $\\ \\large m$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"In this inequality $\\large q$ is a whole number.\r\n\r\n\n>$\\dfrac{7}{5} > \\dfrac{9}{\\large q}$\r\n\n<br>What is the smallest possible value for $\\large q$ to make this inequality true?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{7}{5}$ | > $\\dfrac{9}{\\large q}$ |\n| $7\\large q$ | > 45 |\n| $\\large q$ | > $\\dfrac{45}{7}$ |\r\n| $\\large q$ | > 6.428... |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Smallest $\\ \\large q$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"In this inequality $\\large d$ is a whole number.\r\n\r\n\n>$\\dfrac{11}{23} > \\dfrac{5}{\\large d}$\r\n\n<br>What is the smallest possible value for $\\large d$ to make this inequality true?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{11}{23}$ | > $\\dfrac{5}{\\large d}$ |\n| $11\\large d$ | > 115 |\n| $\\large d$ | > $\\dfrac{115}{11}$ |\r\n| $\\large d$ | > 10.45... |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Smallest $\\ \\large d$ = {{{correctAnswer0}}}"}]}]

Algebra, NAPX-F4-NC19 SA - 4d5378ec-7ecd-47ba-893a-6ab11f2a2288 - (June 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"$8 \\large x > \\large x^2$\n\nWhat is the largest whole number $\\large x$ can be that makes this expression correct?"},{"varval":"sm_nogap Equating the expression\n\r\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| 8$\\large x$ | \\= $\\large x$$^2$ |\r\n| $\\large x$ | \\= 8 |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Largest $\\ \\large x$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"$3 \\large x > \\large x^2$\n\nWhat is the largest whole number $\\large x$ can be that makes this expression correct?"},{"varval":"sm_nogap Equating the expression\n\r\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| 3$\\large x$ | \\= $\\large x$$^2$|\r\n| $\\large x$ | \\= 3 |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Largest $\\ \\large x$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"$7 \\large x > \\large x^2$\n\nWhat is the largest whole number $\\large x$ can be that makes this expression correct?"},{"varval":"sm_nogap Equating the expression\n\r\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| 7$\\large x$ | \\= $\\large x$$^2$|\r\n| $\\large x$ | \\= 7 |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Largest $\\ \\large x$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"$4 \\large x$ > $2\\large x^2$\n\nWhat is the largest whole number $\\large x$ can be that makes this expression correct?"},{"varval":"sm_nogap Equating the expression\n\r\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| 4$\\large x$ | \\= $2\\large x$$^2$|\n| $2\\large x$ | \\= 4 |\r\n| $\\large x$ | \\= 2 |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Largest $\\ \\large x$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"$15 \\large x$ > $5\\large x^2$\n\nWhat is the largest whole number $\\large x$ can be that makes this expression correct?"},{"varval":"Equating the expression\n\n<div class=\"aligned\">\n\n>| | |\n| ------------: | ---------- |\n| 15$\\large x$ | \\= $5\\large x$$^2$|\n| $5\\large x$ | \\= 15 |\n| $\\large x$ | \\= 3 |\n\n</div>\n\n<br>\n\n$\\therefore$ Largest $\\ \\large x$ = {{{correctAnswer0}}}"}]},{"vars":[{"varval":"$35 \\large x$ > $7\\large x^2$\n\nWhat is the largest whole number $\\large x$ can be that makes this expression correct?"},{"varval":"sm_nogap Equating the expression\n\r\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| 35$\\large x$ | \\= $7\\large x$$^2$|\r\n| $7\\large x$ | \\= 35 |\n| $\\large x$ | \\= 5 |\r\n\r\n</div>\r\n\n<br>\n\n$\\therefore$ Largest $\\ \\large x$ = {{{correctAnswer0}}}"}]}]

Algebra, NAPX-G4-CA29 SA - f485a82c-277c-486a-be74-daf0258c614b - (June 19, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\n$\\dfrac{2}{50} = \\dfrac{2}{55} + \\dfrac{1}{\\large x}$\n\nFind the value of $\\large x$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{1}{\\large x}$ | \\= $\\dfrac{2}{50} - \\dfrac{2}{55}$ |\r\n| | \\= $\\dfrac{110}{2750}\\ -\\ \\dfrac{100}{2750}$ | \n| | \\= $\\dfrac{10}{2750}$ | \n| | \\= $\\dfrac{1}{275}$ | \n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"\n$\\dfrac{2}{20} = \\dfrac{2}{25} + \\dfrac{1}{\\large x}$\n\nFind the value of $\\large x$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{1}{\\large x}$ | \\= $\\dfrac{2}{20} - \\dfrac{2}{25}$ |\r\n| | \\= $\\dfrac{50}{500}\\ -\\ \\dfrac{40}{500}$ | \n| | \\= $\\dfrac{10}{500}$ | \n| | \\= $\\dfrac{1}{50}$ | \n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"$\\dfrac{2}{10} = \\dfrac{2}{15} + \\dfrac{1}{\\large x}$\n\nFind the value of $\\large x$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{1}{\\large x}$ | \\= $\\dfrac{2}{10} - \\dfrac{2}{15}$ |\r\n| | \\= $\\dfrac{30}{150}\\ -\\ \\dfrac{20}{150}$ | \n| | \\= $\\dfrac{10}{150}$ | \n| | \\= $\\dfrac{1}{15}$ | \n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"$\\dfrac{2}{30} = \\dfrac{2}{35} + \\dfrac{1}{\\large x}$\n\nFind the value of $\\large x$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{1}{\\large x}$ | \\= $\\dfrac{2}{30} - \\dfrac{2}{35}$ |\r\n| | \\= $\\dfrac{70}{1050}\\ -\\ \\dfrac{60}{1050}$ | \n| | \\= $\\dfrac{10}{1050}$ | \n| | \\= $\\dfrac{1}{105}$ | \n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"$\\dfrac{2}{40} = \\dfrac{2}{45} + \\dfrac{1}{\\large x}$\n\nFind the value of $\\large x$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{1}{\\large x}$ | \\= $\\dfrac{2}{40} - \\dfrac{2}{45}$ |\r\n| | \\= $\\dfrac{90}{1800}\\ -\\ \\dfrac{80}{1800}$ | \n| | \\= $\\dfrac{10}{1800}$ | \n| | \\= $\\dfrac{1}{180}$ | \n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"$\\dfrac{2}{60} = \\dfrac{2}{65} + \\dfrac{1}{\\large x}$\n\nFind the value of $\\large x$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\dfrac{1}{\\large x}$ | \\= $\\dfrac{2}{60} - \\dfrac{2}{65}$ |\r\n| | \\= $\\dfrac{130}{3900}\\ -\\ \\dfrac{120}{3900}$ | \n| | \\= $\\dfrac{10}{3900}$ | \n| | \\= $\\dfrac{1}{390}$ | \n| $\\therefore \\ \\large x$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-H4-NC32 SA - 1348f4d5-062a-4491-b238-a69087f21115 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Joe is $\\dfrac{3}{4}$ the age of Nick.\r\n\r\nKevin is $\\dfrac{2}{3}$ the age of Nick.\r\n\r\nJoe is 3 years older than Kevin.\r\n\r\nHow old is Nick in years?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $J$ | \\= $\\dfrac{3}{4} N \\ ... \\ (1)$ |\r\n| $K$ | \\= $\\dfrac{2}{3} N \\ ... \\ (2)$ |\r\n\r\n</div>\r\n\n\n<br>\n\nSince Joe is 3 years older than Kevin:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $J \\ - \\ K$ | \\= 3 |\n| $\\dfrac{3}{4} N \\ - \\ \\dfrac{2}{3} N$ | \\= 3 |\n| $N \\bigg( \\dfrac{9}{12} \\ - \\ \\dfrac{8}{12} \\bigg)$ | \\= 3 |\n| $N \\times \\dfrac{1}{12}$ | \\= 3 |\r\n| $N$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n\n\r\n<br>\n\n$\\therefore$ Nick is {{{correctAnswer0}}} years old"}]},{"vars":[{"varval":"Mork is $\\dfrac{2}{5}$ the age of Conrad.\r\n\r\nOrson is $\\dfrac{1}{3}$ the age of Conrad.\r\n\r\nMork is 5 years older than Orson.\r\n\r\nHow old is Conrad in years?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $M$ | \\= $\\dfrac{2}{5} C \\ ... \\ (1)$ |\r\n| $O$ | \\= $\\dfrac{1}{3} C \\ ... \\ (2)$ |\r\n\r\n</div>\r\n\n\n<br>\n\nSince Mork is 5 years older than Orson:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $M \\ - \\ O$ | \\= 5 |\n| $\\dfrac{2}{5} C \\ - \\ \\dfrac{1}{3} C$ | \\= 5 |\n| $C \\bigg( \\dfrac{6}{15} \\ - \\ \\dfrac{5}{15} \\bigg)$ | \\= 5 |\n| $C \\times \\dfrac{1}{15}$ | \\= 5 |\r\n| $N$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n\n\r\n<br>\n\n$\\therefore$ Conrad is {{{correctAnswer0}}} years old"}]},{"vars":[{"varval":"Han is $\\dfrac{1}{2}$ the age of Darth.\r\n\r\nLuke is $\\dfrac{1}{3}$ the age of Darth.\r\n\r\nHan is 6 years older than Luke.\r\n\r\nHow old is Darth in years?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $H$ | \\= $\\dfrac{1}{2} D \\ ... \\ (1)$ |\r\n| $L$ | \\= $\\dfrac{1}{3} D \\ ... \\ (2)$ |\r\n\r\n</div>\r\n\n\n<br>\n\nSince Han is 6 years older than Luke:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $H \\ - \\ L$ | \\= 6 |\n| $\\dfrac{1}{2} D \\ - \\ \\dfrac{1}{3} D$ | \\= 6 |\n| $D \\bigg( \\dfrac{3}{6} \\ - \\ \\dfrac{2}{6} \\bigg)$ | \\= 6 |\n| $D \\times \\dfrac{1}{6}$ | \\= 6 |\r\n| $D$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n\n\r\n<br>\n\n$\\therefore$ Darth is {{{correctAnswer0}}} years old"}]},{"vars":[{"varval":"Max is $\\dfrac{4}{7}$ the age of Chief.\r\n\r\nBarbara is $\\dfrac{5}{8}$ the age of Chief.\r\n\r\nBarbara is 3 years older than Max.\r\n\r\nHow old is Chief in years?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $M$ | \\= $\\dfrac{4}{7} C \\ ... \\ (1)$ |\r\n| $B$ | \\= $\\dfrac{5}{8} C \\ ... \\ (2)$ |\r\n\r\n</div>\r\n\n\n<br>\n\nSince Barbara is 3 years older than Max:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $B \\ - \\ M$ | \\= 3|\n| $\\dfrac{5}{8} C \\ - \\ \\dfrac{4}{7} C$ | \\= 3 |\n| $C \\bigg( \\dfrac{35}{56} \\ - \\ \\dfrac{32}{56} \\bigg)$ | \\= 3 |\n| $C \\times \\dfrac{3}{56}$ | \\= 3 |\r\n|$3C$ | \\= 168 |\n|$C$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n\n\r\n<br>\n\n$\\therefore$ Chief is {{{correctAnswer0}}} years old"}]},{"vars":[{"varval":"Minn is $\\dfrac{4}{9}$ the age of Jae.\r\n\r\nAri is $\\dfrac{5}{12}$ the age of Jae.\r\n\r\nMinn is 2 years older than Ari.\r\n\r\nHow old is Jae in years?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $M$ | \\= $\\dfrac{4}{9} J \\ ... \\ (1)$ |\r\n| $A$ | \\= $\\dfrac{5}{12} J \\ ... \\ (2)$ |\r\n\r\n</div>\r\n\n\n<br>\n\nSince Minn is 2 years older than Ari:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $M \\ - \\ A$ | \\= 2 |\n| $\\dfrac{4}{9} J \\ - \\ \\dfrac{5}{12} J$ | \\= 2 |\n| $J \\bigg( \\dfrac{16}{36} \\ - \\ \\dfrac{15}{36} \\bigg)$ | \\= 2 |\n| $J \\times \\dfrac{1}{36}$ | \\= 2 |\r\n| $J$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n\n\r\n<br>\n\n$\\therefore$ Jae is {{{correctAnswer0}}} years old"}]},{"vars":[{"varval":"Fatima is $\\dfrac{3}{5}$ the age of Ahmed.\r\n\r\nDina is $\\dfrac{1}{2}$ the age of Ahmed.\r\n\r\nFatima is 5 years older than Dina.\r\n\r\nHow old is Ahmed in years?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $F$ | \\= $\\dfrac{3}{5} A \\ ... \\ (1)$ |\r\n| $D$ | \\= $\\dfrac{1}{2} A \\ ... \\ (2)$ |\r\n\r\n</div>\r\n\n\n<br>\n\nSince Fatima is 5 years older than Dina:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $F \\ - \\ D$ | \\= 5 |\n| $\\dfrac{3}{5} A \\ - \\ \\dfrac{1}{2} A$ | \\= 5 |\n| $A \\bigg( \\dfrac{6}{10} \\ - \\ \\dfrac{5}{10} \\bigg)$ | \\= 5 |\n| $A \\times \\dfrac{1}{10}$ | \\= 5 |\r\n| $A$ | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\n\n\r\n<br>\n\n$\\therefore$ Ahmed is {{{correctAnswer0}}} years old"}]}]

Algebra, NAPX-I4-CA31 SA - 41a26624-dfdb-4261-82f5-a22e568deae7 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"What is the value of $\\large x$ given $\\ \\dfrac{7}{2}\\large x$ + 7 = 4$\\large x$ $−$ 5?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{7}{2}\\large x$ + 7 | \\= $4\\large x$ $-$ 5 |\n| $7\\large x$ + 14 | \\= $8\\large x$ $-$ 10 |\r\n| $\\therefore \\large x$| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"What is the value of $\\large x$ given $\\ \\dfrac{4}{3}\\large x$ + 7 = 4$\\large x$ $−$ 17?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{4}{3}\\large x$ + 7 | \\= $4\\large x$ $-$ 17 |\n| $4\\large x$ + 21 | \\= $12\\large x$ $-$ 51 |\n| $8\\large x$ | \\= 72 |\r\n| $\\therefore \\large x$| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"What is the value of $\\large x$ given $\\ \\dfrac{5}{2}\\large x$ $-$ 7 = $\\large x$ $−$ 4?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{5}{2}\\large x$ $-$ 7 | \\= $\\large x$ $-$ 4 |\n| $5\\large x$ $-$ 14 | \\= $2\\large x$ $-$ 8 |\r\n| $3\\large x$ | \\= 6 |\n| $\\therefore \\large x$| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"What is the value of $\\large x$ given $\\ \\dfrac{5}{3}\\large x$ + 3 = 2$\\large x$ + 4?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{5}{3}\\large x$ + 3 | \\= $2\\large x$ + 4 |\n| $5\\large x$ + 9 | \\= $6\\large x$ + 12 |\n| $\\therefore \\large x$| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"What is the value of $\\large x$ given $\\ \\dfrac{5}{6}\\large x$ + 3 = 3$\\large x$ $−$ 10?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{5}{6}\\large x$ + 3 | \\= $3\\large x$ $-$ 10 |\n| $5\\large x$ + 18 | \\= $18\\large x$ $-$ 60 |\n| $13\\large x$ | \\= 78 |\r\n| $\\therefore \\large x$| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"What is the value of $\\large x$ given $\\ \\dfrac{2}{5}\\large x$ $-$ 3 = $\\large x$ $−$ 6?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{2}{5}\\large x$ $-$ 3 | \\= $\\large x$ $-$ 6 |\n| $2\\large x$ $-$ 15 | \\= $5\\large x$ $-$ 30 |\n| $3\\large x$ | \\= 15 |\r\n| $\\therefore \\large x$| \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-G4-NC30 SA - 0ea84df0-aff1-4530-99b8-e47721df646e - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Sue and Belinda have total combined savings of $32.\r\n\r\nIf $\\dfrac{1}{5}$ of Sue's savings equals $\\dfrac{1}{3}$ of Belinda's savings, how much has Belinda saved?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{1}{5} S$ | \\= $\\dfrac{1}{3} B$ |\n| $S$ | \\= $\\dfrac{5}{3} B \\ ... \\ (1)$ |\r\n| $S + B$ | \\= 32 ... (2) |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) into (2)\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{5}{3} B + B$ | \\= 32 |\n| $\\dfrac{8}{3} B$ | \\= 32 |\n| $B$| \\= 32 $\\times \\dfrac{3}{8}$|\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Blake and Ryan have total combined savings of $5400.\r\n\r\nIf $\\dfrac{1}{6}$ of Blake's savings equals $\\dfrac{1}{4}$ of Ryan's savings, how much has Ryan saved?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{1}{6} B$ | \\= $\\dfrac{1}{4} R$ |\n| $B$ | \\= $\\dfrac{6}{4} R$ |\n| $B$ | \\= $\\dfrac{3}{2} R \\ ... \\ (1)$ |\r\n| $B + R$ | \\= 5400 ... (2) |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) into (2)\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{3}{2} R + R$ | \\= 5400 |\n| $\\dfrac{5}{2} R$ | \\= 5400 |\n| $R$| \\= 5400 $\\times \\dfrac{2}{5}$|\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Ellen and Jocelyn have total combined savings of $123 500.\r\n\r\nIf $\\dfrac{2}{3}$ of Ellen's savings equals $\\dfrac{3}{5}$ of Jocelyn's savings, how much has Jocelyn saved?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{2}{3} E$ | \\= $\\dfrac{3}{5} J$ |\n| $E$ | \\= $\\dfrac{9}{10} J \\ ... \\ (1)$ |\r\n| $E + J$ | \\= 123 500 ... (2) |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) into (2)\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{9}{10} J + J$ | \\= 123 500 |\n| $\\dfrac{19}{10} J$ | \\= 123 500 |\n| $J$| \\= 123 500 $\\times \\dfrac{10}{19}$|\n| | \\= 65 000 |\r\n\r\n</div>"}]},{"vars":[{"varval":"Will and Ben have total combined savings of $12 810.\r\n\r\nIf $\\dfrac{4}{5}$ of Will's savings equals $\\dfrac{1}{4}$ of Ben's savings, how much has Ben saved?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{4}{5} W$ | \\= $\\dfrac{1}{4} B$ |\n| $W$ | \\= $\\dfrac{5}{16} B \\ ... \\ (1)$ |\r\n| $W + B$ | \\= 12 810 ... (2) |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) into (2)\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{5}{16} B + B$ | \\= 12 810 |\n| $\\dfrac{21}{16} B$ | \\= 12 810 |\n| $B$| \\= 12 810 $\\times \\dfrac{16}{21}$|\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Batman and Robin have total combined savings of $1 776 000.\r\n\r\nIf $\\dfrac{1}{3}$ of Batman's savings equals $\\dfrac{9}{10}$ of Robin's savings, how much has Robin saved?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{1}{3} B$ | \\= $\\dfrac{9}{10} R$ |\n| $B$ | \\= $\\dfrac{27}{10} R \\ ... \\ (1)$ |\r\n| $B + R$ | \\= 1 776 000 ... (2) |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) into (2)\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{27}{10} R + R$ | \\= 1 776 000 |\n| $\\dfrac{37}{10} R$ | \\= 1 776 000 |\n| $R$| \\= 1 776 000 $\\times \\dfrac{10}{37}$|\n| | \\= 480 000 |\r\n\r\n</div>"}]},{"vars":[{"varval":"Anna and Kristoff have total combined savings of $45.\r\n\r\nIf $\\dfrac{1}{5}$ of Anna's savings equals $\\dfrac{4}{5}$ of Kristoff's savings, how much has Kristoff saved?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{1}{5} A$ | \\= $\\dfrac{4}{5} K$ |\n| $A$ | \\= 4K ... (1) |\r\n| $A + K$ | \\= 45 ... (2) |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) into (2)\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $4K + K$ | \\= 45 |\n| $5 K$ | \\= 45 |\n| $K$| = {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-E4-CA30 SA - bcff84d2-6f9e-4416-b821-eaf52e819782 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A teacher is choosing two students from a group of 3 to ring the school bell.\r\n\r\nThere are a total of 3 different combinations that are possible.\r\n\r\nThe formula below gives the total number of combinations $C$ if the teacher is choosing from $S$ students.\r\n\r\n>> $C=0.5S (S − 1)$\r\n \r\n\r\n<br>What is the value of $S$ if the total possible combinations $C$ is 153? \n"},{"varval":"Strategy 1\r\n\nBy trial and error:\r\n\nIf $\\ S=12,\\ C=0.5×12×11=66$\r\n\nIf $\\ S=16,\\ C=0.5×16×15=120$\r\n\nIf $\\ S=18,\\ C=0.5×18×17=153$\r $\\checkmark$\n\n<br>\n\nStrategy 2 (advanced)\r\n\n$C=0.5S(S\\ −\\ 1)$\r\n\n$153=0.5S^{2}\\ −\\ 0.5S$\r\n\n$S^{2}\\ −\\ S\\ −\\ 306=0$\r\n\n$(S\\ −\\ 18)(S+17)=0$\r\n\n$\\therefore \\ S$ = {{{correctAnswer0}}} , $\\ S>0$"}]},{"vars":[{"varval":"A coach is choosing two players from a group of 3 to play in the goals in the upcoming netball semi-final.\r\n\r\nThere are a total of 3 different combinations that are possible.\r\n\r\nThe formula below gives the total number of combinations $C$ if the coach is choosing from $P$ players.\r\n\r\n>> $C=0.5P (P − 1)$\r\n \r\n\r\n<br>What is the value of $P$ if the total possible combinations $C$ is 91? \n"},{"varval":"Strategy 1\r\n\nBy trial and error:\r\n\nIf $\\ P=10,\\ C=0.5×10×9=45$\r\n\nIf $\\ P=12,\\ C=0.5×12×11=66$\r\n\nIf $\\ P=14,\\ C=0.5×14×13=91$\r $\\checkmark$\n\n<br>\n\nStrategy 2 (advanced)\r\n\n$C=0.5P(P\\ −\\ 1)$\r\n\n$91=0.5P^{2}\\ −\\ 0.5P$\r\n\n$P^{2}\\ −\\ P\\ −\\ 182=0$\r\n\n$(P\\ −\\ 14)(P+13)=0$\r\n\n$\\therefore \\ P$ = {{{correctAnswer0}}} , $\\ P>0$"}]},{"vars":[{"varval":"A teacher is choosing two students from a group of 3 to be class captains.\r\n\r\nThere are a total of 3 different combinations that are possible.\r\n\r\nThe formula below gives the total number of combinations $C$ if the teacher is choosing from $S$ students.\r\n\r\n>> $C=0.5S (S − 1)$\r\n \r\n\r\n<br>What is the value of $S$ if the total possible combinations $C$ is 406? "},{"varval":"Strategy 1\r\n\nBy trial and error:\r\n\nIf $\\ S=25,\\ C=0.5×25×24=300$\r\n\nIf $\\ S=27,\\ C=0.5×27×26=351$\r\n\nIf $\\ S=29,\\ C=0.5×29×28=406$\r $\\checkmark$\n\n<br>\n\nStrategy 2 (advanced)\r\n\n$C=0.5S(S\\ −\\ 1)$\r\n\n$406=0.5S^{2}\\ −\\ 0.5S$\r\n\n$S^{2}\\ −\\ S\\ −\\ 812=0$\r\n\n$(S\\ −\\ 29)(S+28)=0$\r\n \r\n$\\therefore \\ S$ = {{{correctAnswer0}}} , $\\ S>0$"}]},{"vars":[{"varval":"A gymnastics coach is choosing two gymnasts from a group of 3 to compete in the parallel bars event.\r\n\r\nThere are a total of 3 different combinations that are possible.\r\n\r\nThe formula below gives the total number of combinations $C$ if the coach is choosing from $G$ gymnasts.\r\n\r\n>> $C=0.5G (G − 1)$\r\n \r\n\r\n<br>What is the value of $G$ if the total possible combinations $C$ is 15? "},{"varval":"Strategy 1\r\n\nBy trial and error:\r\n\nIf $\\ G=4,\\ C=0.5×4×3=6$\r\n\nIf $\\ G=5,\\ C=0.5×5×4=10$\r\n\nIf $\\ G=6,\\ C=0.5×6×5=15$\r $\\checkmark$\n\n<br>\n\nStrategy 2 (advanced)\r\n\n$C=0.5G(G\\ −\\ 1)$\r\n\n$15=0.5G^{2}\\ −\\ 0.5G$\r\n\n$G^{2}\\ −\\ G\\ −\\ 30=0$\r\n\n$(G\\ −\\ 6)(G+5)=0$\r\n \r\n$\\therefore \\ G$ = {{{correctAnswer0}}} , $\\ G>0$"}]},{"vars":[{"varval":"A teacher is choosing two students from a group of 3 to compete in the javelin event at the zone athletics carnival.\r\n\r\nThere are a total of 3 different combinations that are possible.\r\n\r\nThe formula below gives the total number of combinations $C$ if the teacher is choosing from $S$ students.\r\n\r\n>> $C=0.5S (S − 1)$\r\n \r\n\r\n<br>What is the value of $S$ if the total possible combinations $C$ is 78? \n"},{"varval":"Strategy 1\r\n\nBy trial and error:\r\n\nIf $\\ S=9,\\ C=0.5×9×8=36$\r\n\nIf $\\ S=11,\\ C=0.5×11×10=55$\r\n\nIf $\\ S=13,\\ C=0.5×13×12=78$\r $\\checkmark$\n\n<br>\n\nStrategy 2 (advanced)\r\n\n$C=0.5S(S\\ −\\ 1)$\r\n\n$78=0.5S^{2}\\ −\\ 0.5S$\r\n\n$S^{2}\\ −\\ S\\ −\\ 156=0$\r\n\n$(S\\ −\\ 13)(S+12)=0$\r\n \r\n$\\therefore \\ S$ = {{{correctAnswer0}}} , $\\ S>0$"}]},{"vars":[{"varval":"A teacher is choosing two students from a group of 3 to compete in the regional debating competition.\r\n\r\nThere are a total of 3 different combinations that are possible.\r\n\r\nThe formula below gives the total number of combinations $C$ if the teacher is choosing from $S$ students.\r\n\r\n>> $C=0.5S (S − 1)$\r\n \r\n\r\n<br>What is the value of $S$ if the total possible combinations $C$ is 300? "},{"varval":"Strategy 1\r\n\nBy trial and error:\r\n\nIf $\\ S=21,\\ C=0.5×21×20=210$\r\n\nIf $\\ S=23,\\ C=0.5×23×22=253$\r\n\nIf $\\ S=25,\\ C=0.5×25×24=300$\r $\\checkmark$\n\n<br>\n\nStrategy 2 (advanced)\r\n\n$C=0.5S(S\\ −\\ 1)$\r\n\n$300=0.5S^{2}\\ −\\ 0.5S$\r\n\n$S^{2}\\ −\\ S\\ −\\ 600=0$\r\n\n$(S\\ −\\ 25)(S+24)=0$\r\n \r\n$\\therefore \\ S$ = {{{correctAnswer0}}} , $\\ S>0$"}]}]

Algebra, NAPX-I4-NC27 SA - 8543f0aa-ba45-4e8d-bcf2-a86bcc6954b7 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Korin is saving to buy a Spiderman suit.\r\n\r\nHe created a table to keep track of his savings.\n\n<br> \n\n<div class=\"sm-table col1-color2\">\n\n>| Number of months ($\\large x$) |3|6|8|10|\n|:-:|:-:|:-:|:-:|:-:|\n| Amount in savings account ($\\large y$)|250|340|400|460|\n\n</div>\n\n<br>Complete the rule for the linear relationship between the amount of money in Korin's savings account and the number of months of saving."},{"varval":"When $\\ \\large x$ = 3, $\\large y$ = 250\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 250 | \\= <span class=\"sm_box\"> ` ` </span> × 3 + 160 |\n| | |\r\n| | |\r\n| <span class=\"sm_box\"> ` ` </span> | \\= $\\dfrac{250-160}{3}$ |\r\n|||\n|<span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Hans is saving to buy a new lederhosen for Octoberfest celebrations.\n\r\nHe created a table to keep track of his savings.\n\n<br> \n\n<div class=\"sm-table col1-color3\">\n\n>| Number of months ($\\large x$) |2|5|8|10|\n|:-:|:-:|:-:|:-:|:-:|\n| Amount in savings account ($\\large y$)|230|395|560|670|\n\n</div>\n\n<br>Complete the rule for the linear relationship between the amount of money in Hans' savings account and the number of months of saving."},{"varval":"When $\\ \\large x$ = 2, $\\large y$ = 230\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 230 | \\= <span class=\"sm_box\"> ` ` </span> × 2 + 120 |\n| | |\r\n| | |\r\n| <span class=\"sm_box\"> ` ` </span> | \\= $\\dfrac{230-120}{2}$ |\r\n|||\n|<span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Sara is saving up to purchase a new set of cloggs.\n\r\nShe created a table to keep track of her savings.\n\n<br> \n\n<div class=\"sm-table col1-color6\">\n\n>| Number of months ($\\large x$) |3|5|8|10|\n|:-:|:-:|:-:|:-:|:-:|\n| Amount in savings account ($\\large y$)|46.75|63.25|88.00|104.50|\n\n</div>\n\n<br>Complete the rule for the linear relationship between the amount of money in Sara's savings account and the number of months of saving."},{"varval":"When $\\ \\large x$ = 3, $\\large y$ = 46.75\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 46.75 | \\= <span class=\"sm_box\"> ` ` </span> × 3 + 22 |\n| | |\r\n| | |\r\n| <span class=\"sm_box\"> ` ` </span> | \\= $\\dfrac{46.75-22}{3}$ |\r\n|||\n|<span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"Tiger is saving up to purchase a new set of golf clubs.\n\r\nHe created a table to keep track of his savings.\n\n<br> \n\n<div class=\"sm-table col1-color4\">\n\n>| Number of months ($\\large x$) |2|4|7|9|\n|:-:|:-:|:-:|:-:|:-:|\n| Amount in savings account ($\\large y$)|420|660|1020|1260|\n\n</div>\n\n<br>Complete the rule for the linear relationship between the amount of money in Tiger's savings account and the number of months of saving."},{"varval":"When $\\ \\large x$ = 2, $\\large y$ = 420\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 420 | \\= <span class=\"sm_box\"> ` ` </span> × 2 + 180 |\n| | |\r\n| | |\r\n| <span class=\"sm_box\"> ` ` </span> | \\= $\\dfrac{420-180}{2}$ |\r\n|||\n|<span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Axl is saving up to purchase a new piano.\n\r\nHe created a table to keep track of his savings.\n\n<br> \n\n<div class=\"sm-table col1-color5\">\n\n>| Number of months ($\\large x$) |3|6|8|10|\n|:-:|:-:|:-:|:-:|:-:|\n| Amount in savings account ($\\large y$)|1706|3512|4716|5920|\n\n</div>\n\n<br>Complete the rule for the linear relationship between the amount of money in Axl's savings account and the number of months of saving."},{"varval":"When $\\ \\large x$ = 3, $\\large y$ = 1706\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 1706 | \\= <span class=\"sm_box\"> ` ` </span> × 3 $-$ 100 |\n| | |\r\n| | |\r\n| <span class=\"sm_box\"> ` ` </span> | \\= $\\dfrac{1706+100}{3}$ |\r\n|||\n|<span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Jet is saving up to travel overseas.\n\r\nHe created a table to keep track of his savings.\n\n<br> \n\n<div class=\"sm-table col1-color1\">\n\n>| Number of months ($\\large x$) |2|4|7|10|\n|:-:|:-:|:-:|:-:|:-:|\n| Amount in savings account ($\\large y$)|381|812|1458.50|2105|\n\n</div>\n\n<br>Complete the rule for the linear relationship between the amount of money in Jet's savings account and the number of months of saving."},{"varval":"When $\\ \\large x$ = 2, $\\large y$ = 381\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 381 | \\= <span class=\"sm_box\"> ` ` </span> × 2 $-$ 50 |\n| | |\r\n| | |\r\n| <span class=\"sm_box\"> ` ` </span> | \\= $\\dfrac{381+50}{2}$ |\r\n|||\n|<span class=\"sm_box\"> ` ` </span> | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-H4-NC26 - 250455ad-5423-4b71-97e3-04cc403cceca - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"$\\dfrac{\\large x}{4} = \\dfrac{5}{7}$\n\nWhat is the value of $\\large x$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{\\large x}{4}$ | \\= $\\dfrac{5}{7}$ |\n| $\\large x$ | \\= $\\dfrac{5 \\times 4}{7}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"$\\dfrac{\\large y}{4} = \\dfrac{4}{9}$\n\nWhat is the value of $\\large y$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{\\large y}{4}$ | \\= $\\dfrac{4}{9}$ |\n| $\\large y$ | \\= $\\dfrac{4 \\times 4}{9}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"$\\dfrac{\\large n}{7} = \\dfrac{5}{9}$\n\nWhat is the value of $\\large n$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{\\large n}{7}$ | \\= $\\dfrac{5}{9}$ |\n| $\\large n$ | \\= $\\dfrac{7 \\times 5}{9}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>\r"}]},{"vars":[{"varval":"$\\dfrac{\\large m}{11} = \\dfrac{2}{5}$\n\nWhat is the value of $\\large m$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{\\large m}{11}$ | \\= $\\dfrac{2}{5}$ |\n| $\\large m$ | \\= $\\dfrac{11 \\times 2}{5}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"$\\dfrac{3\\large p}{8} = \\dfrac{11}{7}$\n\nWhat is the value of $\\large p$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{3\\large p}{8}$ | \\= $\\dfrac{11}{7}$ |\n| $3 \\large p$ | \\= $\\dfrac{11 \\times 8}{7}$ |\r\n| $\\large p$ | \\= $\\dfrac{88}{7 \\times 3}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"$\\dfrac{2\\large q}{3} = \\dfrac{3}{5}$\n\nWhat is the value of $\\large q$?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\dfrac{2\\large q}{3}$ | \\= $\\dfrac{3}{5}$ |\n| $2\\large q$ | \\= $\\dfrac{3 \\times 3}{5}$ |\r\n| $\\large q$ | \\= $\\dfrac{9}{5 \\times 2}$ |\r\n| | \\= {{{correctAnswer}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-F4-CA29 SA - ffdf9a80-79f2-4b5b-a9bd-69362d5eafcc - (June 18, 2021)

Awaiting images from Myca. Sent 28/7.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"The mass of a trout fish is 16.9 kilograms.\r\n\r\nIts length is 1.24 metres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/07/NAPX-F4-CA29-SA_1.svg 330 indent3 vpad\r\n\nA rule that can be used to approximately predict the length of a trout from its mass is\r\n\n<br>\n\r\n\n>>$\\large l$ = $\\sqrt{ \\dfrac{m}{10}}$\r\n\n<br>where $\\large l$ is the length of the trout in metres and $\\large m$ is the mass in kilograms.\r\n\r\nWhat is the difference in centimetres between the trout's actual length and the length predicted by the rule?\n"},{"varval":"Actual length = 1.24 m = 124 cm\r\n\nPredicted length\n\n>> = $\\sqrt{\\dfrac{16.9}{10}}$\n\n>> = $\\sqrt{1.69}$\n\n>>= 1.3 m\n\n>>= 130 cm\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference\t | \\= 130 $-$ 124 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n\n"}]},{"vars":[{"varval":"The mass of a trout fish is 12.1 kilograms.\r\n\r\nIts length is 1.05 metres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/NAPX-F4-CA29-SA_var1.svg 330 indent3 vpad\r\n\nA rule that can be used to approximately predict the length of a trout from its mass is\r\n\n<br>\n\r\n\n>>$\\large l$ = $\\sqrt{ \\dfrac{m}{10}}$\r\n\n<br>where $\\large l$ is the length of the trout in metres and $\\large m$ is the mass in kilograms.\r\n\r\nWhat is the difference in centimetres between the trout's actual length and the length predicted by the rule?\n"},{"varval":"Actual length = 1.05 m = 105 cm\r\n\nPredicted length\n\n>> = $\\sqrt{\\dfrac{12.1}{10}}$\n\n>> = $\\sqrt{1.21}$\n\n>>= 1.1 m\n\n>>= 110 cm\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference\t | \\= 110 $-$ 105 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n\n"}]},{"vars":[{"varval":"The mass of a trout fish is 6.4 kilograms.\r\n\r\nIts length is 0.87 metres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/NAPX-F4-CA29-SA_var2.svg 330 indent3 vpad\r\n\nA rule that can be used to approximately predict the length of a trout from its mass is\r\n\n<br>\n\r\n\n>>$\\large l$ = $\\sqrt{ \\dfrac{m}{10}}$\r\n\n<br>where $\\large l$ is the length of the trout in metres and $\\large m$ is the mass in kilograms.\r\n\r\nWhat is the difference in centimetres between the trout's actual length and the length predicted by the rule?\n"},{"varval":"Actual length = 0.87 m = 87 cm\r\n\nPredicted length\n\n>> = $\\sqrt{\\dfrac{6.4}{10}}$\n\n>> = $\\sqrt{0.64}$\n\n>>= 0.80 m\n\n>>= 80 cm\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference\t | \\= 87 $-$ 80 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The mass of a trout fish is 14.4 kilograms.\r\n\r\nIts length is 1.18 metres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/NAPX-F4-CA29-SA_var3.svg 330 indent3 vpad\r\n\nA rule that can be used to approximately predict the length of a trout from its mass is\r\n\n<br>\n\r\n\n>>$\\large l$ = $\\sqrt{ \\dfrac{m}{10}}$\r\n\n<br>where $\\large l$ is the length of the trout in metres and $\\large m$ is the mass in kilograms.\r\n\r\nWhat is the difference in centimetres between the trout's actual length and the length predicted by the rule?\n"},{"varval":"Actual length = 1.18 m = 118 cm\r\n\nPredicted length\n\n>> = $\\sqrt{\\dfrac{14.4}{10}}$\n\n>> = $\\sqrt{1.44}$\n\n>>= 1.20 m\n\n>>= 120 cm\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference\t | \\= 120 $-$ 118 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The mass of a trout fish is 8.1 kilograms.\r\n\r\nIts length is 0.87 metres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/NAPX-F4-CA29-SA_var4.svg 330 indent3 vpad\r\n\nA rule that can be used to approximately predict the length of a trout from its mass is\r\n\n<br>\n\r\n\n>>$\\large l$ = $\\sqrt{ \\dfrac{m}{10}}$\r\n\n<br>where $\\large l$ is the length of the trout in metres and $\\large m$ is the mass in kilograms.\r\n\r\nWhat is the difference in centimetres between the trout's actual length and the length predicted by the rule?\n"},{"varval":"Actual length = 0.87 m = 87 cm\r\n\nPredicted length\n\n>> = $\\sqrt{\\dfrac{8.1}{10}}$\n\n>> = $\\sqrt{0.81}$\n\n>>= 0.90 m\n\n>>= 90 cm\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference\t | \\= 90 $-$ 87 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]},{"vars":[{"varval":"The mass of a trout fish is 4.9 kilograms.\r\n\r\nIts length is 0.64 metres.\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/NAPX-F4-CA29-SA_var5.svg 330 indent3 vpad\r\n\nA rule that can be used to approximately predict the length of a trout from its mass is\r\n\n<br>\n\r\n\n>>$\\large l$ = $\\sqrt{ \\dfrac{m}{10}}$\r\n\n<br>where $\\large l$ is the length of the trout in metres and $\\large m$ is the mass in kilograms.\r\n\r\nWhat is the difference in centimetres between the trout's actual length and the length predicted by the rule?\n"},{"varval":"Actual length = 0.64 m = 64 cm\r\n\nPredicted length\n\n>> = $\\sqrt{\\dfrac{4.9}{10}}$\n\n>> = $\\sqrt{0.49}$\n\n>>= 0.70 m\n\n>>= 70 cm\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\therefore$ Difference\t | \\= 70 $-$ 64 |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>\r\n"}]}]

Algebra, NAPX-G4-CA25 SA - d909a631-33cf-4d74-97fc-c8f2ca12662b - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Algebra_NAPX-G4-CA25-SA_v0.svg 470 indent vpad\n\nThe rule for the graph is\r\n\r\n\n>>$A= \\dfrac{\\large c^2}{\\large k}$\n\n<br>\n\r\n\n$A$ is the area of bushland in square kilometres.\r\n\r\n$\\large c$ is the estimated population of feral cats.\r\n\r\nThe graph shows that a 40 km² area of bushland is estimated to have a feral cat population of 80.\r\n\r\nUse this to calculate the value of $\\large k$.\n"},{"varval":"(80, 40) represents one point on the graph.\n\nSubstituting into the given formula:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 40 | \\= $\\dfrac{80^2}{\\large k}$ |\n| | |\r\n| $\\therefore \\large k$ | \\= $\\dfrac{80^2}{40}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Algebra_NAPX-G4-CA25-SA_v1.svg 450 indent vpad\n\nThe rule for the graph is\r\n\r\n\n>>$A= \\dfrac{\\large c^2}{\\large k}$\n\n<br>\n\r\n\n$A$ is the area of bushland in square kilometres.\r\n\r\n$\\large c$ is the estimated population of feral cats.\r\n\r\nThe graph shows that a 30 km² area of bushland is estimated to have a feral cat population of 60.\r\n\r\nUse this to calculate the value of $\\large k$.\n"},{"varval":"(60, 30) represents one point on the graph.\n\nSubstituting into the given formula:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 30 | \\= $\\dfrac{60^2}{\\large k}$ |\n| | |\r\n| $\\therefore \\large k$ | \\= $\\dfrac{60^2}{30}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Algebra_NAPX-G4-CA25-SA_v2.svg 420 indent vpad\n\nThe rule for the graph is\r\n\r\n\n>>$A= \\dfrac{\\large c^2}{\\large k}$\n\n<br>\n\r\n\n$A$ is the area of bushland in square kilometres.\r\n\r\n$\\large c$ is the estimated population of feral cats.\r\n\r\nThe graph shows that a 40 km² area of bushland is estimated to have a feral cat population of 60.\r\n\r\nUse this to calculate the value of $\\large k$.\n"},{"varval":"(60, 40) represents one point on the graph.\n\nSubstituting into the given formula:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 40 | \\= $\\dfrac{60^2}{\\large k}$ |\n| | |\r\n| $\\therefore \\large k$ | \\= $\\dfrac{60^2}{40}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Algebra_NAPX-G4-CA25-SA_v3.svg 400 indent vpad\n\nThe rule for the graph is\r\n\r\n\n>>$A= \\dfrac{\\large c^2}{\\large k}$\n\n<br>\n\r\n\n$A$ is the area of bushland in square kilometres.\r\n\r\n$\\large c$ is the estimated population of feral cats.\r\n\r\nThe graph shows that a 20 km² area of bushland is estimated to have a feral cat population of 40.\r\n\r\nUse this to calculate the value of $\\large k$.\n"},{"varval":"(40, 20) represents one point on the graph.\n\nSubstituting into the given formula:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 20 | \\= $\\dfrac{40^2}{\\large k}$ |\n| | |\r\n| $\\therefore \\large k$ | \\= $\\dfrac{40^2}{20}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Algebra_NAPX-G4-CA25-SA_v4.svg 500 indent vpad\n\nThe rule for the graph is\r\n\r\n\n>>$A= \\dfrac{\\large c^2}{\\large k}$\n\n<br>\n\r\n\n$A$ is the area of bushland in square kilometres.\r\n\r\n$\\large c$ is the estimated population of feral cats.\r\n\r\nThe graph shows that a 40 km² area of bushland is estimated to have a feral cat population of 100.\r\n\r\nUse this to calculate the value of $\\large k$.\n"},{"varval":"(100, 40) represents one point on the graph.\n\nSubstituting into the given formula:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 40 | \\= $\\dfrac{100^2}{\\large k}$ |\n| | |\r\n| $\\therefore \\large k$ | \\= $\\dfrac{100^2}{40}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Algebra_NAPX-G4-CA25-SA_v5.svg 500 indent vpad\n\nThe rule for the graph is\r\n\r\n\n>>$A= \\dfrac{\\large c^2}{\\large k}$\n\n<br>\n\r\n\n$A$ is the area of bushland in square kilometres.\r\n\r\n$\\large c$ is the estimated population of feral cats.\r\n\r\nThe graph shows that a 20 km² area of bushland is estimated to have a feral cat population of 60.\r\n\r\nUse this to calculate the value of $\\large k$.\n"},{"varval":"(60, 20) represents one point on the graph.\n\nSubstituting into the given formula:\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| 20 | \\= $\\dfrac{60^2}{\\large k}$ |\n| | |\r\n| $\\therefore \\large k$ | \\= $\\dfrac{60^2}{20}$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-E4-CA24 SA - 655b71b0-bfc6-4370-a574-e5defd4f4097 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Jim and Andy each bought a large order of plums from the farmers' market.\r\n\r\nJim bought three-quarters of the quantity that Andy bought.\r\n\r\nThe total cost of Jim and Andy's plums was $158.55.\r\n\r\nWhat was the cost of Andy's plums?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ \\large a$ | \\= cost of Andy's plums |\r\n| $\\dfrac{3}{4} \\large a$ | \\= cost of Jim's plums |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large a$ + $\\dfrac{3}{4} \\large a$ | \\= 158.55 |\n| $\\dfrac{7}{4}\\large a$ | \\= 158.55 |\n| $\\therefore \\large a$ | \\= 158.55 $\\div \\ \\dfrac{7}{4}$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Bob and Chris each bought a large order of nails from the hardware store.\r\n\r\nBob bought four fifths of the quantity that Chris bought.\r\n\r\nThe total cost of Bob and Chris's nails was $62.55.\r\n\r\nWhat was the cost of Chris's nails?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ \\large c$ | \\= cost of Chris's nails |\r\n| $\\dfrac{4}{5} \\large c$ | \\= cost of Bob's nails |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large c$ + $\\dfrac{4}{5} \\large c$ | \\= 62.55 |\n| $\\dfrac{9}{5}\\large c$ | \\= 62.55 |\n| $\\therefore \\large c$ | \\= 62.55 $\\div \\ \\dfrac{9}{5}$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Sally and Greta own adjoining blocks of land.\r\n\r\nSally's land is five-eighths the size of Greta's.\r\n\r\nThe combined area of Sally and Greta's land is 3380 square metres.\r\n\r\nWhat is the area of Greta's block in square metres?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ \\large g$ | \\= area of Greta's land |\r\n| $\\dfrac{5}{8} \\large g$ | \\= area of Sally's land |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large g$ + $\\dfrac{5}{8} \\large g$ | \\= 3380 |\n| $\\dfrac{13}{8}\\large g$ | \\= 3380 |\n| $\\therefore \\large g$ | \\= 3380 $\\div \\ \\dfrac{13}{8}$ |\r\n| | \\= {{{correctAnswer0}}} {{{suffix0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Bert and Ernie each bought a large order of cookies from the supermarket.\r\n\r\nBert bought two-thirds of the quantity that Ernie bought.\r\n\r\nThe total cost of Bert and Ernie's cookies was $64.50.\r\n\r\nWhat was the cost of Ernie's cookies?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ \\large e$ | \\= cost of Ernie's cookies |\r\n| $\\dfrac{2}{3} \\large e$ | \\= cost of Bert's cookies |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large e$ + $\\dfrac{2}{3} \\large e$ | \\= 64.50 |\n| $\\dfrac{5}{3}\\large e$ | \\= 64.50 |\n| $\\therefore \\large e$ | \\= 64.50 $\\div \\ \\dfrac{5}{3}$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Kramer and Elaine each bought a large order of soup from the soup kitchen.\r\n\r\nKramer bought four-ninths of the quantity that Elaine bought.\r\n\r\nThe total cost of Kramer and Elaine's soup was $72.93.\r\n\r\nWhat was the cost of Elaine's soup?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ \\large e$ | \\= cost of Elaine's soup |\r\n| $\\dfrac{4}{9} \\large e$ | \\= cost of Kramer's soup |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large e$ + $\\dfrac{4}{9} \\large e$ | \\= 72.93 |\n| $\\dfrac{13}{9}\\large e$ | \\= 72.93 |\n| $\\therefore \\large e$ | \\= 72.93 $\\div \\ \\dfrac{13}{9}$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"April and May buy their coffee beans from the local cafe.\r\n\r\nLast month, April bought three-eighths of the quantity of coffee beans that May bought.\r\n\r\nThe total cost of April and May's coffee beans last month was $107.80.\r\n\r\nWhat was the cost of May's coffee beans over this time?"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| Let $\\ \\large m$ | \\= cost of May's coffee beans |\r\n| $\\dfrac{3}{8} \\large m$ | \\= cost of April's coffee beans |\r\n\r\n</div>\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| $\\large m$ + $\\dfrac{3}{8} \\large m$ | \\= 107.80 |\n| $\\dfrac{11}{8}\\large m$ | \\= 107.80 |\n| $\\therefore \\large m$ | \\= 107.80 $\\div \\ \\dfrac{11}{8}$ |\r\n| | \\= {{{prefix0}}}{{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-G4-NC27, NAPX-G3-NC28 - d8dfcb50-b365-4b26-9e16-c03e5fdbe34e - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Which value of <span class=\"sm-text\">?</span> is closest to the missing number in this equation?\r\n\r\n\n( <span class=\"sm-text\">?</span> + 39.3) ÷ 4.15 = 69.3\n"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------: | ---------- |\r\n| ( <span class=\"sm-text\">?</span> + 39.3) ÷ 4.15 | \\= 69.3 |\n| | |\n| | |\r\n| ( <span class=\"sm-text\">?</span> + 39.3) | \\= 69.3 × 4.15 |\n| | |\n| | |\r\n| <span class=\"sm-text\">?</span> | $≈(70×4)\\ −\\ 40$ |\n| | $≈280\\ −\\ 40$ |\r\n| | ≈ {{{correctAnswer}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Which value of <span class=\"sm-text\">?</span> is closest to the missing number in this equation?\r\n\r\n\n( <span class=\"sm-text\">?</span> + 25.4) ÷ 3.9 = 48.2"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| -------------------------------: | ----------------- |\r\n| ( <span class=\"sm-text\">?</span> + 25.4) ÷ 3.9| \\= 48.2 |\r\n| | |\r\n| ( <span class=\"sm-text\">?</span> + 25.4) | \\= 48.2 × 3.9 |\r\n| | |\r\n| <span class=\"sm-text\">?</span> | $\\approx$ (50 × 4) − 25 |\r\n| | $\\approx$ 200 − 25 |\r\n| | $\\approx$ {{{correctAnswer}}} |\r\n</div>"}]},{"vars":[{"varval":"Which value of <span class=\"sm-text\">?</span> is closest to the missing number in this equation?\n\n( <span class=\"sm-text\">?</span> − 21.4) × 5.1 = 78.6"},{"varval":"<div class=\"aligned\">\n\r\n| | |\r\n| ------------------------: | ------------------------- |\r\n| ( <span class=\"sm-text\">?</span> − 21.4) × 5.1 | \\= 78.6 |\r\n| | |\r\n| ( <span class=\"sm-text\">?</span> − 21.4) | \\= 78.6 ÷ 5.1 |\r\n| | |\r\n| <span class=\"sm-text\">?</span> | $\\approx$ (80 ÷ 5) + 21 |\r\n| | $\\approx$ 16 + 21 |\r\n| | $\\approx$ {{{correctAnswer}}} |\n\r\n</div>"}]},{"vars":[{"varval":"Which value of <span class=\"sm-text\">?</span> is closest to the missing number in this equation?\n\n( <span class=\"sm-text\">?</span> + 31.6) ÷ 4.2 = 28.4"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| -----------------: | ------------------------- |\r\n| ( <span class=\"sm-text\">?</span> + 31.6) ÷ 4.2 | \\= 28.4 |\r\n| | |\r\n| ( <span class=\"sm-text\">?</span> + 31.6) | \\= 28.4 × 4.2 |\r\n| | |\r\n| <span class=\"sm-text\">?</span> | $\\approx$ (28 × 4) − 32 |\r\n| | $\\approx$ 112 − 32 |\r\n| | $\\approx$ {{{correctAnswer}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Which value of <span class=\"sm-text\">?</span> is closest to the missing number in this equation?\n\n\r\n\r\n( <span class=\"sm-text\">?</span> − 42.3) × 3.1 = 121.8"},{"varval":"<div class=\"aligned\">\r\n\r\n| | |\r\n| --------: | ------------------------- |\r\n| ( <span class=\"sm-text\">?</span> − 42.3) × 3.1 | \\= 121.8 |\r\n| | |\r\n| ( <span class=\"sm-text\">?</span> − 42.3) | \\= 121.8 ÷ 3.1|\r\n| | |\r\n| <span class=\"sm-text\">?</span> | $\\approx$ (120 ÷ 3) + 42 |\r\n| | $\\approx$ 40 + 42 |\r\n| | $\\approx$ {{{correctAnswer}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Which value of <span class=\"sm-text\">?</span> is closest to the missing number in this equation?\n\n\r\n\r\n( <span class=\"sm-text\">?</span> + 48.7) ÷ 7.2 = 19.4"},{"varval":"<div class=\"aligned\">\n\n| | |\n| -------------------------: | ------------------------- |\n| ( <span class=\"sm-text\">?</span> + 48.7) ÷ 7.2 | \\= 19.4 |\n| | |\n| ( <span class=\"sm-text\">?</span> + 48.7) | \\= 19.4 × 7.2 |\n| | |\n| <span class=\"sm-text\">?</span> | $\\approx$ (20 × 7) − 49 |\n| | $\\approx$ 140 − 49 |\n| | $\\approx$ {{{correctAnswer}}} |\n</div>"}]}]

Algebra, NAPX-I4-CA09 - 227fc5d4-68b9-479a-a29c-a4548b5f40b1 - (June 18, 2021)

Should this question have 4 options for the answers? Added categories.

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A nursery sells potting mix in two sizes.\r\n\r\n\nA 30 kilogram bag costs $5.50 and a 60 kilogram bag costs $11.00.\r\n\r\n\nWhich graph could show the relationship between the amount of potting mix and its cost?​"},{"varval":"sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I4-CA09-rev-ans.svg 220 indent vpad"}]}]

Algebra, NAPX9-TLE-26 v3 - 55a9bc38-a22c-4724-bc23-c2f1bc8c7dd3 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A restaurant sells pizza for $5 each and bottles of iced tea for $2 each.\r\n\r\nPaula wrote an equation $\\ 5\\large p$ + 2$\\large t$ = 38 to calculate the number of pizzas and bottles of iced tea she could buy.\r\n\r\nHow many pizzas and bottles of iced tea could Paula buy for $38?"},{"varval":"By trial and error:\r\n\nsm_nogap Cost of 6 pizzas and 4 bottles of iced tea\r\n\n>>= (6 × $5) + (4 × $2)\r\n\n>>= $38\n\r\n\r\n\r\n\n<br>\n\n$\\therefore$ 6 pizzas and 4 bottles of iced tea."}]},{"vars":[{"varval":"A restaurant sells bowls of soup for $8 each and bottles of sparkling water for $3 each.\r\n\r\nPaula wrote an equation $\\ 8\\large s$ + 3$\\large w$ = 61 to calculate the number of bowls of soup and bottles of sparkling water she could buy.\r\n\r\nHow many bowls of soup and bottles of sparkling water could Paula buy for $61?"},{"varval":"By trial and error:\r\n\nsm_nogap Cost of 5 bowls of soup and 7 bottles of sparkling water \r\n\n>>= (5 × $8) + (7 × $3)\r\n\n>>= $61\n\r\n\r\n\r\n\n<br>\n\n$\\therefore$ 5 bowls of soup and 7 bottles of sparkling water \r\n"}]},{"vars":[{"varval":"A cafe sells muffins for $4 each and cookies for $3 each.\r\n\r\nBrian wrote an equation $\\ 4\\large m$ + 3$\\large c$ = 64 to calculate the number of muffins and cookies he could buy.\r\n\r\nHow many muffins and cookies could Brian buy for $64?"},{"varval":"By trial and error:\r\n\nsm_nogap Cost of 10 muffins and 8 cookies\r\n\n>>= (10 × $4) + (8 × $3)\r\n\n>>= $64\n\r\n\r\n\r\n\n<br>\n\n$\\therefore$ 10 muffins and 8 cookies.\r\n"}]},{"vars":[{"varval":"A cafe sells large coffees for $5 each and small coffees for $4 each.\r\n\r\nJean wrote an equation $\\ 5\\large l$ + 4$\\large s$ = 57 to calculate the number of large coffees and small coffees she could buy.\r\n\r\nHow many large coffees and small coffees could Jean buy for $57?"},{"varval":"By trial and error:\r\n\nsm_nogap Cost of 9 large coffees and 3 small coffees\r\n\n>>= (9 × $5) + (3 × $4)\r\n\n>>= $57\n\r\n\r\n\r\n\n<br>\n\n$\\therefore$ 9 large coffees and 3 small coffees."}]},{"vars":[{"varval":"A movie theatre sells boxes of popcorn for $6 each and cans of soft drink for $3 each.\r\n\r\nBrad wrote an equation $\\ 6\\large p$ + 3$\\large d$ = 45 to calculate the number of boxes of popcorn and cans of soft drink he could buy.\r\n\r\nHow many boxes of popcorn and cans of soft drink could Brad buy for $45?"},{"varval":"By trial and error:\r\n\nsm_nogap 7 boxes of popcorn and 1 can of soft drink\r\n\n>>= (7 × $6) + (1 × $3)\r\n\n>>= $45\n\r\n\r\n\r\n\n<br>\n\n$\\therefore$ 7 boxes of popcorn and 1 can of soft drink."}]},{"vars":[{"varval":"A school canteen sells apples for $1.50 each and sausage rolls for $4 each.\r\n\r\nAnna wrote an equation $\\ 1.50\\large a$ + 4$\\large s$ = 25 to calculate the number of apples and sausage rolls she could buy.\r\n\r\nHow many apples and sausage rolls could Anna buy for $25?"},{"varval":"By trial and error:\r\n\nsm_nogap Cost of 6 apples and 4 sausage rolls\r\n\n>>= (6 × $1.50) + (4 × $4)\r\n\n>>= $25\n\r\n\r\n\r\n\n<br>\n\n$\\therefore$ 6 apples and 4 sausage rolls.\r\n"}]}]

Number, NAPX-H3-NC32 SA - dd7b3308-d3a1-40a6-bd6e-9e9d6a453bd4 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Tamaki owns a Japanese garden.\r\n\r\nHer garden pond has twice as many carp as bream, and four times as many bream as frogs.\r\n\r\nThe pond has 24 more bream than frogs.\r\n\r\nHow many carp does Tamaki's garden pond have?"},{"varval":"Let $\\ C$ = number of carp\n\nLet $\\ B$ = number of bream\n\nLet $\\ F$ = number of frogs \n\nsm_nogap Express the information in 3 equations:\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $C$ | \\= $2B\\ ... \\ (1)$ |\n| $B$ | \\= $4F \\ … \\ (2)$ |\r\n| 24 | \\= $B - F$ ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Substitute $\\ B = 4F$ into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| 24| \\= $4F - F$ |\n| $3F$ | \\= 24 |\r\n| $F$ | \\= 8 |\r\n\r\n</div>\n\r\n\n<br>\n\nNumber of frogs = 8 \n\nsm_nogap Number of bream = $4 \\times 8 =32$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| -------------: | ---------- |\r\n| $\\therefore$ Number of carp | \\= $2 \\times 32$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Rosemary owns a fragrant garden.\r\n\r\nHer fragrant garden has twice as many roses as lavender plants, and three times as many lavender plants as jasmine.\r\n\r\nThe garden has 60 more lavender plants than jasmine.\r\n\r\nHow many roses does Rosemary's fragrant garden have?"},{"varval":"Let $\\ L$ = number of lavender plants\n\nLet $\\ R$ = number of roses\n\nLet $\\ J$ = number of jasmine \n\nsm_nogap Express the information in 3 equations:\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $R$ | \\= $2L\\ ... \\ (1)$ |\n| $L$ | \\= $3J \\ … \\ (2)$ |\r\n| 60 | \\= $L - J$ ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Substitute $\\ L = 3J$ into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| 60| \\= $3J - J$ |\n| $2J$ | \\= 60 |\r\n| $J$ | \\= 30 |\r\n\r\n</div>\n\r\n\n<br>\n\nNumber of jasmine = 30\n\nNumber of lavender = $3 \\times 30 =90$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Number of roses | \\= $2 \\times 90$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"\r\n\r\nGene has been shopping at the farmers' market to buy fruit.\n\nHe bought twice as many apples as pears, and 5 times as many pears as bananas.\r\n\r\n\nHe has 8 more pears than bananas.\r\n\r\n\nHow many apples did he buy?"},{"varval":"Let $\\ A$ = number of apples\n\nLet $\\ P$ = number of pears\n\nLet $\\ B$ = number of bananas\n\nsm_nogap Express the information in 3 equations:\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $A$ | \\= $2P\\ ... \\ (1)$ |\n| $P$ | \\= $5B \\ … \\ (2)$ |\r\n| 8 | \\= $P - B$ ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Substitute $\\ P = 5B$ into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| 8| \\= $5B - B$ |\n| $4B$ | \\= 8 |\r\n| $B$ | \\= 2 |\r\n\r\n</div>\n\r\n\n<br>\n\nNumber of bananas = 2\n\nNumber of pears = $5 \\times 2 =10$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Number of apples | \\= $2 \\times 10$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Christian collects Formula One model racing cars.\n\nHis collection has three times as many Ferraris as McLarens, and two times as many McLarens as Alfa Romeos.\r\n\r\n\nChristian's collection has 3 more McLarens than Alfa Romeos.\r\n\r\n\nHow many Formula One model racing cars are in Christian's collection?"},{"varval":"Let $\\ F$ = number of Ferraris\n\nLet $\\ M$ = number of McLarens\n\nLet $\\ A$ = number of Alfa Romeos\n\nsm_nogap Express the information in 3 equations:\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $F$ | \\= $3M\\ ... \\ (1)$ |\n| $M$ | \\= $2A \\ … \\ (2)$ |\r\n| 3 | \\= $M - A$ ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nsm_nogap Substitute $\\ M = 2A$ into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| 3| \\= $2A - A$ |\n| $A$| \\= 3 |\n\r\n\r\n\r\n</div>\n\r\n\n<br>\n\nNumber of Alfa Romeos = 3\n\nNumber of McLarens = $3 \\times 2 = 6$\n\nNumber of Ferraris = $3 \\times 6 = 18$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Total Formula One cars in collection | \\= 3 + 6 + 18 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"A bag contains coloured marbles.\r\n\r\nThe bag has four times as many red marbles as blue marbles, and half as many blue marbles as green marbles.\r\n\r\nThe bag has 20 more green marbles than blue marbles.\r\n\r\nHow many marbles are in the bag?"},{"varval":"Let $\\ R$ = number of red marbles\n\nLet $\\ B$ = number of blue marbles\n\nLet $\\ G$ = number of green marbles \n\nsm_nogap Express the information in 3 equations:\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $R$ | \\= $4B\\ ... \\ (1)$ |\n| $B$ | \\= $\\dfrac{1}{2}G … \\ (2)$ |\r\n| 20 | \\= $G - B$ ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\n\n\nsm_nogap Substitute $\\ B$ \\= $\\dfrac{1}{2}G$ into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| 20| \\= $G - \\dfrac{1}{2}G$ |\n| $\\dfrac{1}{2}G$ | \\= 20 |\r\n| $G$ | \\= 40 |\r\n\r\n</div>\n\r\n\n<br>\n\nNumber of green marbles = 40\n\nNumber of blue marbles = $\\dfrac{1}{2} \\times 40 =20$\n\nNumber of red marbles = $\\ 4 \\times 20 =80$\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Total marbles in bag | \\= $40 + 20 + 80$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-H3-CA29 SA - 7944f2af-fe09-4cae-9997-10fd99edfdd3 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Ember is six years younger than Keenak.\r\n\r\nStarla is thirteen years older than twice Keenak's age.\r\n\r\nThe sum of all three ages is 63.\r\n\r\nHow old is Starla?"},{"varval":"Strategy one:\r\n\nTry some educated guesses:\n\nIf Ember is 7,\r\n\nTotal of ages = 7 + 13 + 39 = 59\r\n\nIf Ember is 8,\r\n\nTotal of ages = 8 + 14 + 41 = 63\r $\\checkmark$\n \r\n\r<br>\n\nStrategy two (using algebra):\r\n\nExpress the information into 3 equations,\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $E$ | \\= $K \\ −\\ 6 \\ ... \\ (1)$ |\n| $S$ | \\= $2K+13 \\ … \\ (2)$ |\r\n| $E+K+S$ | \\= 63 ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) and (2) into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| $K\\ −\\ 6+K+2K+13$ | \\= 63 |\n| $4K$ | \\= 56 |\r\n| $K$ | \\= 14 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Starla's age | \\= $2×14+13$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Michaela is four years younger than Brian.\r\n\r\nCormac is ten years older than twice Brian's age.\r\n\r\nThe sum of all three ages is 86.\r\n\r\nHow old is Cormac?"},{"varval":"Strategy one:\r\n\nTry some educated guesses:\n\nIf Michaela is 14,\r\n\nTotal of ages = 14 + 18 + 46 = 68\r\n\nIf Michaela is 16,\r\n\nTotal of ages = 16 + 20 + 50 = 86\r $\\checkmark$\n \r\n\r<br>\n\nStrategy two (using algebra):\r\n\nExpress the information into 3 equations,\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $M$ | \\= $B \\ −\\ 4 \\ ... \\ (1)$ |\n| $C$ | \\= $2B+10 \\ … \\ (2)$ |\r\n| $M+B+C$ | \\= 86 ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) and (2) into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| $B\\ −\\ 4+B+2B+10$ | \\= 86 |\n| $4B$ | \\= 80 |\r\n| $B$ | \\= 20 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Cormac's age | \\= $2×20+10$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Abbie is five years younger than Bert.\r\n\r\nErnie is twenty years younger than three times Bert's age.\r\n\r\nThe sum of all three ages is 50.\r\n\r\nHow old is Ernie?"},{"varval":"Strategy one:\r\n\nTry some educated guesses:\n\nIf Abbie is 5,\r\n\nTotal of ages = 5 + 10 + 10 = 25\r\n\nIf Abbie is 10,\r\n\nTotal of ages = 10 + 15 + 25 = 50\r $\\checkmark$\n \r\n\r<br>\n\nStrategy two (using algebra):\r\n\nExpress the information into 3 equations,\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $A$ | \\= $B \\ −\\ 5 \\ ... \\ (1)$ |\n| $E$ | \\= $3B\\ \\ − \\ 20 \\ … \\ (2)$ |\r\n| $A+B+E$ | \\= 50 ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) and (2) into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| $B\\ −\\ 5+B+3B \\ − \\ 20$ | \\= 50 |\n| $5B$ | \\= 75 |\r\n| $B$ | \\= 15 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Ernie's age | \\= $3×15 \\ − \\ 20$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Grace is ten years older than Kelly.\r\n\r\nCaroline is four years younger than three times Kelly's age.\r\n\r\nThe sum of all three ages is 76.\r\n\r\nHow old is Caroline?"},{"varval":"Strategy one:\r\n\nTry some educated guesses:\n\nIf Grace is 20,\r\n\nTotal of ages = 20 + 10 + 26 = 56\r\n\nIf Grace is 24,\r\n\nTotal of ages = 24 + 14 + 38 = 76\r $\\checkmark$\n \r\n\r<br>\n\nStrategy two (using algebra):\r\n\nExpress the information into 3 equations,\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $G$ | \\= $K + 10 \\ ... \\ (1)$ |\n| $C$ | \\= $3K \\ −\\ 4 \\ … \\ (2)$ |\r\n| $G+K+C$ | \\= 76 ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) and (2) into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| $K + 10+K+3K \\ − \\ 4$ | \\= 76 |\n| $5K$ | \\= 70 |\r\n| $K$ | \\= 14 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Caroline's age | \\= $3×14 \\ −\\ 4$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Byron is twelve years older than Tennyson.\r\n\r\nEyre is one year younger than twice Tennyson's age.\r\n\r\nThe sum of all three ages is 23.\r\n\r\nHow old is Eyre?"},{"varval":"Strategy one:\r\n\nTry some educated guesses:\n\nIf Byron is 14,\r\n\nTotal of ages = 14 + 2 + 3 = 19\n\nIf Byron is 15,\r\n\nTotal of ages = 15 + 3 + 5 = 23\r $\\checkmark$\n \r\n\r<br>\n\nStrategy two (using algebra):\r\n\nExpress the information into 3 equations,\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $B$ | = $T$ + 12 ... (1) |\n| $E$ | = $2T\\ −$ 1 ... (2) |\r\n| $B + T + E$ | = 23 ... (3) |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) and (2) into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| $T + 12 + T + 2T\\ −\\ 1$ | = 23 |\n| $4T$ | = 12 |\r\n| $T$ | = 3 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Eyre's age | \\= 2 $\\times$ 3 $-$ 1 |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]},{"vars":[{"varval":"Harry is ten years younger than half Voldermort's age.\r\n\r\nDumbledore is three years younger than twice Voldermort's age.\r\n\r\nThe sum of all three ages is 162.\r\n\r\nHow old is Dumbledore?"},{"varval":"Strategy one:\r\n\nTry some educated guesses:\n\nIf Voldermort is 40,\r\n\nTotal of ages = 40 + 10 + 77 = 127\r\n\nIf Voldermort is 50,\r\n\nTotal of ages = 50 + 15 + 97 = 162\r $\\checkmark$\n \r\n\r<br>\n\nStrategy two (using algebra):\r\n\nExpress the information into 3 equations,\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| ------------: | ---------- |\r\n| $H$ | = $O.5V\\ −\\ 10$ ... (1) |\n| $D$ | \\= $2V − \\ 3 \\ … \\ (2)$ |\r\n| $H+V+D$ | \\= 162 ... $\\ (3)$ |\r\n\r\n</div>\r\n\n<br>\n\nSubstitute (1) and (2) into (3)\n\n<div class=\"aligned\">\r\n\r\n>| | |\r\n| -------------: | ---------- |\r\n| $0.5V\\ − \\ 10+V+2V \\ −\\ 3$ | \\= 162 |\n| $3.5V$ | \\= 175 |\r\n| $V$ | \\= 50 |\r\n\r\n</div>\n\r\n\n<br>\n\n<div class=\"aligned\">\r\n\r\n| | |\r\n| ------------- | ---------- |\r\n| $\\therefore$ Dumbledore's age | \\= $2×50\\ −\\ 3$ |\r\n| | \\= {{{correctAnswer0}}} |\r\n\r\n</div>"}]}]

Algebra, NAPX-J4-CA32 - 3c3c1e63-aeb7-4023-9681-cf5e8d65e62b - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"A Greek wedding reception area has pillars that are $\\large x$ cm wide and the gap between pillars is $\\large y$ cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad\n\n<br>If the reception area has 9 pillars on one side, the length of that side can be represented by which expression?"},{"varval":"sm_nogap The length of the side\r\n\n>> = width of 9 pillars + width of 8 gaps\r\n\n>> = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"A Greek wedding reception area has pillars that are $\\large x$ cm wide and the gap between pillars is $\\large y$ cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad\n\n<br>If the reception area has 12 pillars on one side, the length of that side can be represented by which expression?"},{"varval":"sm_nogap The length of the side\r\n\n>> = width of 12 pillars + width of 11 gaps\r\n\n>> = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"A Greek wedding reception area has pillars that are $\\large x$ cm wide and the gap between pillars is $\\large y$ cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad\n\n<br>If the reception area has 16 pillars on one side, the length of that side can be represented by which expression?"},{"varval":"sm_nogap The length of the side\r\n\n>> = width of 16 pillars + width of 15 gaps\r\n\n>> = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"A Greek wedding reception area has pillars that are $\\large x$ cm wide and the gap between pillars is $\\large y$ cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad\n\n<br>If the reception area has 7 pillars on one side, the length of that side can be represented by which expression?"},{"varval":"sm_nogap The length of the side\r\n\n>> = width of 7 pillars + width of 6 gaps\r\n\n>> = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"A Greek wedding reception area has pillars that are $\\large x$ cm wide and the gap between pillars is $\\large y$ cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad\n\n<br>If the reception area has 6 pillars on each of the 2 opposite walls, the total length of the pillar sections on both walls can be represented by which expression?"},{"varval":"sm_nogap The length of each side\r\n\n>> = width of 6 pillars + width of 5 gaps\n\r\n\nsm_nogap The length of both sides\n\n>> = 2 x (width of 6 pillars + width of 5 gaps)\r\n\n>> = 2 x (6$\\large x$ + 5$\\large y$)\r\n\n>> = {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"A Greek wedding reception area has pillars that are $\\large x$ cm wide and the gap between pillars is $\\large y$ cm.\n\n<br>\n\nsm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-J4-CA32.svg 240 indent2 vpad\n\n<br>If the reception area has 8 pillars on each of the 2 opposite walls, the total length of the pillar sections on both walls can be represented by which expression?"},{"varval":"sm_nogap The length of each side\r\n\n>> = width of 8 pillars + width of 7 gaps\n\r\n\nsm_nogap The length of both sides\n\n>> = 2 x (width of 8 pillars + width of 7 gaps)\r\n\n>> = 2 x (8$\\large x$ + 7$\\large y$)\r\n\n>> = {{{correctAnswer}}}\n"}]}]

Number, NAPX-H3-NC23 SA - 2dc2b6e1-aa64-40d5-bdf3-b84ff839339c - (June 18, 2021)

<div class="sm_mode"> Rory has 25 lollies that he shares with 3 other friends. He gave Steve 2 more than he kept for himself. He gave Delilah 3 less that lollies of Steve. Kelly has twice as many as Steve. How many lollies did Rory keep for himself? </div>

[{"vars":null}]

Number, NAPX-F3-CA24 SA - 27938d88-4710-45a5-bf14-69fae8e50b18 - (June 18, 2021)

<div class="sm_mode"> A piece of wood is leaning against four stacks of bricks. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/08/NAPX-F3-CA24-SA.svg 250 indent vpad There are 31 bricks in total. How many bricks are in the tallest stack? </div>

[{"vars":null}]

Number, NAPX-H4-NC16, NAPX-H3-NC22 - c033e351-9f0c-4aa9-a5f1-8cf714c293cd - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"\nEnya made a mobile phone call that lasted 41 minutes.\n\n\r\n\r\nHer mobile phone provider charges her 31 cents per minute for calls.\n\n\r\n\r\nEnya estimated that the total cost of the phone call was about $12.\n\n\r\n\r\nEnya's estimate was\n"},{"varval":"An estimate of the cost could be just over:\n\n\r\n40 minutes × 30 cents = $12\n\n\r\n∴ $12 estimate is {{{correctAnswer}}}\n"}]},{"vars":[{"varval":"\n\n\nA farmer plants 29 rows of corn with 41 seeds per row.\n\nHe estimates the total number of seeds is about 1200.\n\nHis estimate was:\r\n\r"},{"varval":"<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Estimate: 30 $\\times$ 40 = 1200 |\r\n</div>\n\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------------:| --------------------------------------------------------------------- |\r\n| Actual: 29 $\\times$ 41 | = (30 $-$ 1) $\\times$ (40 + 1) |\r\n| | = 30 $\\times$ 40 + 30 $\\times$ 1 $-$ 1 $\\times$ 40 $-$ 1 $\\times$ 1 |\r\n| | = 1200 + 30 $-$ 40 $-$ 1 |\r\n| | = 1189 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ The estimate of 1200 is {{{correctAnswer}}}."}]},{"vars":[{"varval":"\nA swimmer trains 52 weeks a year and swims 18 km per week.\n\n\r\n\r\nShe estimates the total distance she swims in a year is about 1000 km.\n\n\r\n\r\nHer estimate was:"},{"varval":"<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Estimate: 50 $\\times$ 20 = 1000 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------------:| --------------------------------------------------------------------- |\r\n| Actual: 52 $\\times$ 18 | = (50 + 2) $\\times$ (20 $-$ 2) |\r\n| | = 50 $\\times$ 20 $-$ 50 $\\times$ 2 + 2 $\\times$ 20 $-$ 2 $\\times$ 2 |\r\n| | = 1000 $-$ 100 + 40 $-$ 4 |\r\n| | = 936 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ The estimate of 1000 is {{{correctAnswer}}}."}]},{"vars":[{"varval":"\nA baker uses 42 grams of butter per cake and makes 48 cakes.\n\r\n\r\nHe estimates the total amount of butter used is about 2000 grams.\r\n\r\nHis estimate was:\r\n\r"},{"varval":"<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Estimate: 40 $\\times$ 50 = 2000 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------------:| --------------------------------------------------------------------- |\r\n| Actual: 42 $\\times$ 48 | = (40 + 2) $\\times$ (50 $-$ 2) |\r\n| | = 40 $\\times$ 50 $-$ 40 $\\times$ 2 + 2 $\\times$ 50 $-$ 2 $\\times$ 2 |\r\n| | = 2000 $-$ 80 + 100 $-$ 4 |\r\n| | = 2016 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ The estimate of 2000 is {{{correctAnswer}}}."}]},{"vars":[{"varval":"\nA printer prints 40 pages per minute and runs for exactly 30 minutes.\r\n\r\nA technician estimates the total number of pages printed is about 1200.\r\n\r\nHis estimate was:\r\n\r\n"},{"varval":"<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Estimate: 40 $\\times$ 30 = 1200 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------------:| --------------------------------------------------------------------- |\r\n| Actual: 40 $\\times$ 30 | = 1200 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ The estimate of 1200 is {{{correctAnswer}}}."}]},{"vars":[{"varval":"\nA cyclist rides 61 km per day for 31 days.\r\n\r\nShe estimates the total distance she rides is about 1800 km.\r\n\r\nHer estimate was:\r\n\r"},{"varval":"<div class=\"aligned\">\n\r\n| |\r\n| - |\r\n| Estimate: 60 $\\times$ 30 = 1800 |\r\n</div>\r\n<br>\r\n<div class=\"aligned\">\n\r\n| | |\r\n| ----------------------------------:| --------------------------------------------------------------------- |\r\n| Actual: 61 $\\times$ 31 | = (60 + 1) $\\times$ (30 + 1) |\r\n| | = 60 $\\times$ 30 + 60 $\\times$ 1 + 1 $\\times$ 30 + 1 $\\times$ 1 |\r\n| | = 1800 + 60 + 30 + 1 |\r\n| | = 1891 |\r\n</div>\r\n<br>\n\r\n$\\therefore$ The estimate of 1800 is {{{correctAnswer}}}."}]}]

Number, NAPX-H4-NC15, NAPX-H3-NC21 - f3c50482-11fe-4f69-b1a7-33594431efb1 - (June 18, 2021)

<div class="sm_mode"> Alota and Bea are sisters and are setting up their study desks. They want their desks positioned the same distance from the centre of the room. <br> sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-H4-NC15.svg 570 indent vpad <br>What is the distance $\large x$ from the edge of each desk to the middle of the room? </div>

[{"vars":null}]

Number, NAPX-L4-CA19 - f030b5a7-9238-4c32-a417-994c0dded6c3 - (June 18, 2021)

<div class="sm_mode"> {{{question}}} </div>

[{"vars":[{"varval":"Marty is mining for gold in Papua New Guinea.\n\r\nHis mine aims to produce 13 kilograms of gold in the first 3 months of mining.\n\nIn the first month, the mine produces 2400 grams of gold.\n\nIn the second month, it produces 2900 grams of gold.\n\nHow much gold does the mine need to produce in the third month to reach Marty's target of 13 kilograms?\n\nGive your answer in kilograms, to one decimal place."},{"varval":"1 kilogram = 1000 grams\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n|$\\therefore$ Gold needed in 3rd month | = 13 000 $−$ 2400 $−$ 2900 |\n| | \\= 7700 grams |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Manny is making a vegetable soup for his vegan restaurant.\n\nHe wants to make 8 litres of soup in 3 batches.\n\nIn the first batch, the makes 2400 millilitres of soup.\n\nIn the second batch, he makes 3800 millilitres.\n\nHow much soup does Manny need to make in the 3rd batch to reach his target of 8 litres?\n\nGive your answer in litres, to one decimal place."},{"varval":"8 litres = 8000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n|$\\therefore$ Soup needed in 3rd batch | = 8000 $−$ 2400 $−$ 3800 |\n| | \\= 1800 millilitres |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Justine supplied a chocolate shop and needed to make 17 kilograms of Rocky Road for the shop over 3 days.\n\nOn the first day, she made 3500 grams of Rocky Road.\n\nOn the second day she made 5700 grams of Rock Road.\n\nHow much Rocky Road does she need to make on day 3 to reach her target of 17 kilograms?\n\nGive your answer in kilograms, to one decimal place."},{"varval":"<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n|$\\therefore$ Rocky Road needed | = 17 000 $−$ 3500 $−$ 5700 |\n| | \\= 7800 grams |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Delvine is making an energy juice drink for her cafe.\n\nShe wants to make 12 litres of juice in one hour and a half.\n\nIn the first half hour, she makes 1200 millilitres of juice.\n\nIn the second half hour, she makes 3300 millilitres.\n\nHow much juice does Delvine need to make in the third half hour to reach her target of 12 litres?\n\nGive your answer in litres, to one decimal place."},{"varval":"12 litres = 12 000 millilitres\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n|$\\therefore$ Juice needed | = 12 000 $−$ 1200 $−$ 3300 |\n| | \\= 7500 millilitres |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Andrew peels the prawns in a commercial restaurant and needs to prepare 16 kilograms of peeled prawns in 1 hour.\n\nIn the first 20 minutes, he peels 4400 grams of prawns.\n\nIn the second 20 minutes, he peels 5900 grams of prawns.\n\nWhat mass of prawns does Andrew need to peel in the third 20 minutes to reach his target of 16 kilograms?\n\nGive your answer in kilograms, to one decimal place."},{"varval":"1 kilogram = 1000 grams \n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n|$\\therefore$ Prawns needed | = 16 000 $−$ 4400 $−$ 5900 |\n| | \\= 5700 grams |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]},{"vars":[{"varval":"Bert captures cane toads and aims to capture 32 kilograms during a 3 hour operation.\n\nIn the first hour, his captured cane toads weigh 8700 grams.\n\nIn the second hour, he captures an extra 9400 grams of cane toads.\n\nWhat mass of cane toads does Bert need to catch in the third hour in order to reach his target capture of 32 kilograms?\n\nGive your answer in kilograms, to one decimal place."},{"varval":"1 kilogram = 1000 grams\n\n<div class=\"aligned\">\n\n| | |\n| --------------------- | -------------- |\n|$\\therefore$ Cane toads needed | = 32 000 $−$ 8700 $−$ 9400 |\n| | \\= 13 900 grams |\n|| \\= {{{correctAnswer0}}} {{{suffix0}}}|\n\n</div>"}]}]