Algebra, NAP_10099

Question

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Worked Solution

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Variant 0

DifficultyLevel

384

Question

Greg is building patterns using hexagons.

How many hexagons will Greg need to make Pattern 4?

Worked Solution

Each pattern has the bottom row removed.

Pattern 1 = 1 + 2 + 3 + 4 + 5 + 6 = 21 hexagons

Pattern 2 = 1 + 2 + 3 + 4 + 5 = 15 hexagons

Pattern 3 = 1 + 2 + 3 + 4 = 10 hexagons

Pattern 4 = 1 + 2 + 3 = 6 hexagons

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Greg is building patterns using hexagons. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v0-min.svg 400 indent vpad How many hexagons will Greg need to make Pattern 4?
workedSolution
Each pattern has the bottom row removed. >>Pattern 1 = 1 + 2 + 3 + 4 + 5 + 6 = 21 hexagons >>Pattern 2 = 1 + 2 + 3 + 4 + 5 = 15 hexagons >>Pattern 3 = 1 + 2 + 3 + 4 = 10 hexagons >>Pattern 4 = 1 + 2 + 3 = {{{correctAnswer}}} hexagons
correctAnswer
6

Answers

Is Correct?Answer
x

4

x

5

✓

6

x

7

Variant 1

DifficultyLevel

385

Question

Maui is building patterns using hexagons.

How many hexagons will Maui need to make Pattern 4?

Worked Solution

Each pattern has 2 hexagons added.

Pattern 1 = 6 hexagons

Pattern 2 = 8 hexagons

Pattern 3 = 10 hexagons

Pattern 4 = 12 hexagons

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Maui is building patterns using hexagons. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v1-min.svg 400 indent vpad How many hexagons will Maui need to make Pattern 4?
workedSolution
Each pattern has 2 hexagons added. >>Pattern 1 = 6 hexagons >>Pattern 2 = 8 hexagons >>Pattern 3 = 10 hexagons >>Pattern 4 = {{{correctAnswer}}} hexagons
correctAnswer
12

Answers

Is Correct?Answer
x

18

x

15

✓

12

x

10

Variant 2

DifficultyLevel

386

Question

Heather is building patterns using hexagons.

How many hexagons will Heather need to make Pattern 4?

Worked Solution

Each pattern has 4 hexagons added.

Pattern 1 = 5 hexagons

Pattern 2 = 9 hexagons

Pattern 3 = 13 hexagons

Pattern 4 = 17 hexagons

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Heather is building patterns using hexagons. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v2-min.svg 350 indent vpad How many hexagons will Heather need to make Pattern 4?
workedSolution
Each pattern has 4 hexagons added. >>Pattern 1 = 5 hexagons >>Pattern 2 = 9 hexagons >>Pattern 3 = 13 hexagons >>Pattern 4 = {{{correctAnswer}}} hexagons
correctAnswer
17

Answers

Is Correct?Answer
x

10

x

12

x

15

✓

17

Variant 3

DifficultyLevel

387

Question

Kendra is building patterns using hexagons.

How many hexagons will Kendra need to make Pattern 4?

Worked Solution

Each pattern has 3 hexagons added.

Pattern 1 = 5 hexagons

Pattern 2 = 8 hexagons

Pattern 3 = 11 hexagons

Pattern 4 = 14 hexagons

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kendra is building patterns using hexagons. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v3-min.svg 350 indent vpad How many hexagons will Kendra need to make Pattern 4?
workedSolution
Each pattern has 3 hexagons added. >>Pattern 1 = 5 hexagons >>Pattern 2 = 8 hexagons >>Pattern 3 = 11 hexagons >>Pattern 4 = {{{correctAnswer}}} hexagons
correctAnswer
14

Answers

Is Correct?Answer
✓

14

x

13

x

12

x

11

Variant 4

DifficultyLevel

388

Question

Polly is building patterns using hexagons.

How many hexagons will Polly need to make Pattern 4?

Worked Solution

Each pattern has 3 hexagons added.

Pattern 1 = 1 hexagon

Pattern 2 = 4 hexagons

Pattern 3 = 7 hexagons

Pattern 4 = 10 hexagons

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Polly is building patterns using hexagons. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10099v4.svg 350 indent vpad How many hexagons will Polly need to make Pattern 4?
workedSolution
Each pattern has 3 hexagons added. >>Pattern 1 = 1 hexagon >>Pattern 2 = 4 hexagons >>Pattern 3 = 7 hexagons >>Pattern 4 = {{{correctAnswer}}} hexagons
correctAnswer
10

Answers

Is Correct?Answer
x

8

x

9

✓

10

x

11

Tags

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