Number, NAPX-G4-NC29 SA

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

713

Question

Krol has read 716\dfrac{7}{16} of his new science fiction book.

If the book has 400 pages, how many pages has he read?

Worked Solution
Pages read = 716×400\dfrac{7}{16} \times 400
= 7×4×4×254×4\dfrac{7 \times 4 \times 4 \times 25}{4 \times 4}
= 175 pages

Question Type

Answer Box

Variables

Variable nameVariable value
question
Krol has read $\dfrac{7}{16}$ of his new science fiction book. If the book has 400 pages, how many pages has he read?
workedSolution
| | | | --------------------- | -------------- | | Pages read | \= $\dfrac{7}{16} \times 400$ | | | | | | \= $\dfrac{7 \times 4 \times 4 \times 25}{4 \times 4}$ | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
175
prefix0
suffix0
pages

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0175

pages

Variant 1

DifficultyLevel

714

Question

Jenna has watched 59\dfrac{5}{9} of her favourite movie.

If the movie runs for 162 minutes, for how many minutes has she watched?

Worked Solution
Minutes watched = 59×162\dfrac{5}{9} \times 162
= 5×9×9×29\dfrac{5 \times 9 \times 9 \times 2}{9}
= 90 minutes

Question Type

Answer Box

Variables

Variable nameVariable value
question
Jenna has watched $\dfrac{5}{9}$ of her favourite movie. If the movie runs for 162 minutes, for how many minutes has she watched?
workedSolution
| | | | --------------------- | -------------- | | Minutes watched | \= $\dfrac{5}{9} \times 162$ | | | | | | \= $\dfrac{5 \times 9 \times 9 \times 2}{9}$ | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
90
prefix0
suffix0
minutes

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer090

minutes

Variant 2

DifficultyLevel

715

Question

Kiki has written 38\dfrac{3}{8} of her biology essay.

If the minimum number of words she must write is 2000, how many words has she written so far?

Worked Solution
Words written = 38×2000\dfrac{3}{8} \times 2000
= 3×2×4×2502×4\dfrac{3 \times 2 \times 4 \times 250}{2 \times 4}
= 750 words

Question Type

Answer Box

Variables

Variable nameVariable value
question
Kiki has written $\dfrac{3}{8}$ of her biology essay. If the minimum number of words she must write is 2000, how many words has she written so far?
workedSolution
| | | | --------------------- | -------------- | | Words written | \= $\dfrac{3}{8} \times 2000$ | | | | | | \= $\dfrac{3 \times 2 \times 4 \times 250}{2 \times 4}$ | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
750
prefix0
suffix0
words

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0750

words

Variant 3

DifficultyLevel

716

Question

Draco has poured 715\dfrac{7}{15} of the flour he needs for his favourite banana cake into the bowl.

If the recipe requires 180 grams of flour in total, how much has he added so far?

Worked Solution
Flour Added = 715×180\dfrac{7}{15} \times 180
= 7×3×5×123×5\dfrac{7 \times 3 \times 5 \times 12}{3 \times 5}
= 84 grams

Question Type

Answer Box

Variables

Variable nameVariable value
question
Draco has poured $\dfrac{7}{15}$ of the flour he needs for his favourite banana cake into the bowl. If the recipe requires 180 grams of flour in total, how much has he added so far?
workedSolution
| | | | --------------------- | -------------- | | Flour Added | \= $\dfrac{7}{15} \times 180$ | | | | | \= $\dfrac{7 \times 3 \times 5 \times 12}{3 \times 5}$ | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
84
prefix0
suffix0
grams

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer084

grams

Variant 4

DifficultyLevel

717

Question

Mitch has read 56\dfrac{5}{6} of his favourite surfing magazine.

If the magazine has 192 pages, how many pages has Mitch already read?

Worked Solution
Pages read = 56×192\dfrac{5}{6} \times 192
= 5×2×2×2×2×2×2×32×3\dfrac{5 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\times 3}{2 \times 3}
= 160 pages

Question Type

Answer Box

Variables

Variable nameVariable value
question
Mitch has read $\dfrac{5}{6}$ of his favourite surfing magazine. If the magazine has 192 pages, how many pages has Mitch already read?
workedSolution
| | | | --------------------- | -------------- | | Pages read| \= $\dfrac{5}{6} \times 192$ | | | | | \= $\dfrac{5 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2\times 3}{2 \times 3}$ | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
160
prefix0
suffix0
pages

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0160

pages

Variant 5

DifficultyLevel

718

Question

Kirrily has collected 715\dfrac{7}{15} of the Tiger Queen collector cards.

If there are 360 cards in total to collect, how many has Kirrily collected so far?

Worked Solution
Cards collected = 715×360\dfrac{7}{15} \times 360
= 7×3×5×2×6×23×5\dfrac{7 \times 3 \times 5 \times 2 \times 6 \times 2}{3 \times 5}
= 168 cards

Question Type

Answer Box

Variables

Variable nameVariable value
question
Kirrily has collected $\dfrac{7}{15}$ of the Tiger Queen collector cards. If there are 360 cards in total to collect, how many has Kirrily collected so far?
workedSolution
| | | | --------------------- | -------------- | | Cards collected| \= $\dfrac{7}{15} \times 360$ | | | | | \= $\dfrac{7 \times 3 \times 5 \times 2 \times 6 \times 2}{3 \times 5}$ | || \= {{{correctAnswer0}}} {{{suffix0}}}|
correctAnswer0
168
prefix0
suffix0
cards

Answers

Specify one or more 'ANSWER' block(s) as exampled below.
Note: correctAnswer is required, the rest are optional. ("correctAnswer" is what the student would need to type in to the box to get the answer correct.)

For example:
correctAnswer: 123.40

And optionally, specify the following, but only if you need something different to the defaults: 'width' defaults to 5 if not present, and valid values are 3 to 10; 'prefix' and 'suffix' default to nothing if not present.
prefix: $
suffix: mm$^2$
width: 5

correctAnswerNcorrectAnswerValueAnswer
correctAnswer0168

cards

Tags

  • nap_nc
  • staging_suejones