Algebra, NAP_20025

Question

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Worked Solution

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Variant 0

DifficultyLevel

536

Question

Patience is setting out exam desks in the school hall using the pattern shown below.

If this pattern continues until there are six rows, what is the total number of exam desks in the hall when Patience has finished?

Worked Solution

The number of desks in each row is decreasing by 1

Desks in Row 1 = 8

Desks in Row 2 = 7

Desks in Row 3 = 6

Desks in Row 4 = 5

Desks in Row 5 = 4

Desks in Row 6 = 3


Therefore, the total number of desks = 8 + 7 + 6 + 5 + 4 + 3 = 33

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Patience is setting out exam desks in the school hall using the pattern shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v0-min.svg 550 indent vpad If this pattern continues until there are six rows, what is the total number of exam desks in the hall when Patience has finished?
workedSolution
The number of desks in each row is decreasing by 1 >Desks in Row 1 = 8 >Desks in Row 2 = 7 >Desks in Row 3 = 6 >Desks in Row 4 = 5 >Desks in Row 5 = 4 >Desks in Row 6 = 3
Therefore, the total number of desks = 8 + 7 + 6 + 5 + 4 + 3 = {{{correctAnswer}}}
correctAnswer
33

Answers

Is Correct?Answer
x

16

x

24

✓

33

x

42

Variant 1

DifficultyLevel

538

Question

Arima is planting flowers in his garden using the pattern shown below.

If this pattern continues until there are seven rows, what is the total number of flowers in the garden when Arima is finished planting?

Worked Solution

The number of plants in each row is decreasing by 2

Plants in Row 1 = 14

Plants in Row 2 = 12

Plants in Row 3 = 10

Plants in Row 4 = 8

Plants in Row 5 = 6

Plants in Row 6 = 4

Plants in Row 7 = 2


Therefore, the total number of plants = 14 + 12 + 10 + 8 + 6 + 4 + 2 = 56

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Arima is planting flowers in his garden using the pattern shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v1-min.svg 550 indent vpad If this pattern continues until there are seven rows, what is the total number of flowers in the garden when Arima is finished planting?
workedSolution
The number of plants in each row is decreasing by 2 >Plants in Row 1 = 14 >Plants in Row 2 = 12 >Plants in Row 3 = 10 >Plants in Row 4 = 8 >Plants in Row 5 = 6 >Plants in Row 6 = 4 >Plants in Row 7 = 2
Therefore, the total number of plants = 14 + 12 + 10 + 8 + 6 + 4 + 2 = {{{correctAnswer}}}
correctAnswer
56

Answers

Is Correct?Answer
✓

56

x

72

x

80

x

112

Variant 2

DifficultyLevel

540

Question

Jansui is arranging a display of cakes using the pattern shown below.

If this pattern continues until there are 5 rows, what is the total number of cakes in the display when Jansui has finished?

Worked Solution

The number of cakes in each row is decreasing by 3

Cakes in Row 1 = 13

Cakes in Row 2 = 10

Cakes in Row 3 = 7

Cakes in Row 4 = 4

Cakes in Row 5 = 1


Therefore, the total number of Cakes = 13 + 10 + 7 + 4 + 1 = 35

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jansui is arranging a display of cakes using the pattern shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v2-min.svg 550 indent vpad If this pattern continues until there are 5 rows, what is the total number of cakes in the display when Jansui has finished?
workedSolution
The number of cakes in each row is decreasing by 3 >Cakes in Row 1 = 13 >Cakes in Row 2 = 10 >Cakes in Row 3 = 7 >Cakes in Row 4 = 4 >Cakes in Row 5 = 1
Therefore, the total number of Cakes = 13 + 10 + 7 + 4 + 1 = {{{correctAnswer}}}
correctAnswer
35

Answers

Is Correct?Answer
x

34

✓

35

x

53

x

70

Variant 3

DifficultyLevel

542

Question

Nat is arranging band members for the parade using a pattern shown below.

If this pattern continues until there are six rows, what is the total number of band members in the parade when Nat has finished?

Worked Solution

The number of band members in each row is decreasing by 2

Band members in Row 1 = 13

Band members in Row 2 = 11

Band members in Row 3 = 9

Band members in Row 4 = 7

Band members in Row 5 = 5

Band members in Row 6 = 3


Therefore, the total number of desks = 13 + 11 + 9 + 7 + 5 + 3 = 48

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Nat is arranging band members for the parade using a pattern shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v3-min.svg 550 indent vpad If this pattern continues until there are six rows, what is the total number of band members in the parade when Nat has finished?
workedSolution
The number of band members in each row is decreasing by 2 >Band members in Row 1 = 13 >Band members in Row 2 = 11 >Band members in Row 3 = 9 >Band members in Row 4 = 7 >Band members in Row 5 = 5 >Band members in Row 6 = 3
Therefore, the total number of desks = 13 + 11 + 9 + 7 + 5 + 3 = {{{correctAnswer}}}
correctAnswer
48

Answers

Is Correct?Answer
x

33

x

40

✓

48

x

66

Variant 4

DifficultyLevel

544

Question

Faith is planting Christmas trees in rows using the pattern shown below.

If this pattern continues until there are five rows, what is the total number of Christmas trees Faith has planted?

Worked Solution

The number of Christmas trees in each row is decreasing by 5

Christmas trees in Row 1 = 21

Christmas trees in Row 2 = 16

Christmas trees in Row 3 = 11

Christmas trees in Row 4 = 6

Christmas trees in Row 5 = 1


Therefore, the total number of Singers = 21 + 16 + 11 + 6 + 1 = 55

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Faith is planting Christmas trees in rows using the pattern shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20025v4a-min.svg 650 indent vpad If this pattern continues until there are five rows, what is the total number of Christmas trees Faith has planted?
workedSolution
The number of Christmas trees in each row is decreasing by 5 >Christmas trees in Row 1 = 21 >Christmas trees in Row 2 = 16 >Christmas trees in Row 3 = 11 >Christmas trees in Row 4 = 6 >Christmas trees in Row 5 = 1
Therefore, the total number of Singers = 21 + 16 + 11 + 6 + 1 = {{{correctAnswer}}}
correctAnswer
55

Answers

Is Correct?Answer
x

54

✓

55

x

85

x

96

Tags

  • staging_suejones