Algebra, NAP_20021

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

524

Question

Cata uses sticks to make a pattern.

She starts with 2 sticks for Design 1.

How many sticks does Cata need for Design 5?

Worked Solution

Strategy One

Drawing design 5:

∴ 30 sticks are required for design 5


Strategy Two

Design 2 has 4 more sticks than design 1.

Design 3 has 6 more sticks than design 2.

Design 4 has 8 more sticks than design 3.


Continuing this pattern,

Design 5 will have 10 more sticks than design 4 = 20 + 10 = 30 sticks.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Cata uses sticks to make a pattern. She starts with 2 sticks for Design 1. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v1q-min.svg 725 indent vpad How many sticks does Cata need for Design 5?
workedSolution
Strategy One Drawing design 5: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v1ws-min.svg 135 indent vpad ∴ {{{correctAnswer}}} sticks are required for design 5
Strategy Two >Design 2 has 4 more sticks than design 1. >Design 3 has 6 more sticks than design 2. >Design 4 has 8 more sticks than design 3.
Continuing this pattern, >Design 5 will have 10 more sticks than design 4 = 20 + 10 = {{{correctAnswer}}} sticks.
correctAnswer
30

Answers

Is Correct?Answer
x

28

✓

30

x

40

x

60

Variant 1

DifficultyLevel

526

Question

Alexia uses sticks to make a pattern.

She starts with 3 sticks for Design 1.

How many sticks does Alexia need for Design 5?

Worked Solution

Strategy One

Drawing design 5:

∴ 45 sticks are required for design 5


Strategy Two

Design 2 has 6 more sticks than design 1.

Design 3 has 9 more sticks than design 2.

Design 4 has 12 more sticks than design 3.


Continuing this pattern,

Design 5 will have 15 more sticks than design 4 = 30 + 15 = 45 sticks.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Alexia uses sticks to make a pattern. She starts with 3 sticks for Design 1. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v0q-min.svg 725 indent vpad How many sticks does Alexia need for Design 5?
workedSolution
Strategy One Drawing design 5: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v0ws-min.svg 135 indent vpad ∴ {{{correctAnswer}}} sticks are required for design 5
Strategy Two >Design 2 has 6 more sticks than design 1. >Design 3 has 9 more sticks than design 2. >Design 4 has 12 more sticks than design 3.
Continuing this pattern, >Design 5 will have 15 more sticks than design 4 = 30 + 15 = {{{correctAnswer}}} sticks.
correctAnswer
45

Answers

Is Correct?Answer
x

36

x

39

x

42

✓

45

Variant 2

DifficultyLevel

528

Question

Felix uses sticks to make a pattern.

He starts with 3 sticks for Design 1.

How many sticks does Felix need for Design 5?

Worked Solution

Strategy One

Drawing design 5:

∴ 45 sticks are required for design 5


Strategy Two

Design 2 has 6 more sticks than design 1.

Design 3 has 9 more sticks than design 2.

Design 4 has 12 more sticks than design 3.


Continuing this pattern,

Design 5 will have 15 more sticks than design 4 = 30 + 15 = 45 sticks.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Felix uses sticks to make a pattern. He starts with 3 sticks for Design 1. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v2q-min.svg 725 indent vpad How many sticks does Felix need for Design 5?
workedSolution
Strategy One Drawing design 5: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v2ws-min.svg 180 indent vpad ∴ {{{correctAnswer}}} sticks are required for design 5
Strategy Two >Design 2 has 6 more sticks than design 1. >Design 3 has 9 more sticks than design 2. >Design 4 has 12 more sticks than design 3.
Continuing this pattern, >Design 5 will have 15 more sticks than design 4 = 30 + 15 = {{{correctAnswer}}} sticks.
correctAnswer
45

Answers

Is Correct?Answer
x

33

x

36

✓

45

x

48

Variant 3

DifficultyLevel

530

Question

Hugh uses sticks to make a pattern.

He starts with 4 sticks for Design 1.

How many sticks does Hugh need for Design 5?

Worked Solution

Strategy One

Drawing design 5:

∴ 60 sticks are required for design 5


Strategy Two

Design 2 has 8 more sticks than design 1.

Design 3 has 12 more sticks than design 2.

Design 4 has 16 more sticks than design 3.


Continuing this pattern,

Design 5 will have 20 more sticks than design 4 = 40 + 20 = 60 sticks.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Hugh uses sticks to make a pattern. He starts with 4 sticks for Design 1. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v3q-min.svg 725 indent vpad How many sticks does Hugh need for Design 5?
workedSolution
Strategy One Drawing design 5: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v3ws-min.svg 180 indent vpad ∴ {{{correctAnswer}}} sticks are required for design 5
Strategy Two >Design 2 has 8 more sticks than design 1. >Design 3 has 12 more sticks than design 2. >Design 4 has 16 more sticks than design 3.
Continuing this pattern, >Design 5 will have 20 more sticks than design 4 = 40 + 20 = {{{correctAnswer}}} sticks.
correctAnswer
60

Answers

Is Correct?Answer
x

56

✓

60

x

64

x

80

Variant 4

DifficultyLevel

534

Question

Aaron uses sticks to make a pattern.

He starts with 5 sticks for Design 1.

How many sticks does Aaron need for Design 5?

Worked Solution

Strategy One

Drawing design 5:

∴ 75 sticks are required for design 5


Strategy Two

Design 2 has 10 more sticks than design 1.

Design 3 has 15 more sticks than design 2.

Design 4 has 20 more sticks than design 3.


Continuing this pattern,

Design 5 will have 25 more sticks than design 4 = 50 + 25 = 75 sticks.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Aaron uses sticks to make a pattern. He starts with 5 sticks for Design 1. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v4q-min.svg 725 indent vpad How many sticks does Aaron need for Design 5?
workedSolution
Strategy One Drawing design 5: sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_20021v4ws-min.svg 180 indent vpad ∴ {{{correctAnswer}}} sticks are required for design 5
Strategy Two >Design 2 has 10 more sticks than design 1. >Design 3 has 15 more sticks than design 2. >Design 4 has 20 more sticks than design 3.
Continuing this pattern, >Design 5 will have 25 more sticks than design 4 = 50 + 25 = {{{correctAnswer}}} sticks.
correctAnswer
75

Answers

Is Correct?Answer
✓

75

x

70

x

65

x

60

Tags

  • staging_suejones