20316

Question

{{{question}}}

Worked Solution

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Variant 0

DifficultyLevel

611

Question

This shape is made from eight equilateral triangles and one large parallelogram.



Each side of all the small triangles is 4 cm long.

What is the perimeter of the shape?

Worked Solution

Perimeter from the top left corner (clockwise)
= 12 + 4 + 4 + 4 + 4 + 8 + 4 + 8
= 48 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made from eight equilateral triangles and one large parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/12/NAP-A3-CA221.svg 200 indent vpad

Each side of all the small triangles is 4 cm long. What is the perimeter of the shape?
workedSolution
sm_nogap Perimeter from the top left corner (clockwise)
>>| | | --------------------- | | = 12 + 4 + 4 + 4 + 4 + 8 + 4 + 8 | | = {{{correctAnswer}}} |
correctAnswer
48 cm

Answers

Is Correct?Answer
x

12 cm

x

44 cm

✓

48 cm

x

68 cm

Variant 1

DifficultyLevel

610

Question

This shape is made from ten equilateral triangles and one large parallelogram.



Each side of all the small triangles is 5 cm long.

What is the perimeter of the shape?

Worked Solution

Perimeter from the top left corner (clockwise)
= 10 + 8 ×\times 5 + 20
= 10 + 40 + 20
= 70 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made from ten equilateral triangles and one large parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20316_v1.svg 250 indent vpad

Each side of all the small triangles is 5 cm long. What is the perimeter of the shape?
workedSolution
sm_nogap Perimeter from the top left corner (clockwise)
>>| | | --------------------- | | = 10 + 8 $\times$ 5 + 20 | | = 10 + 40 + 20 | | = {{{correctAnswer}}} |
correctAnswer
70 cm

Answers

Is Correct?Answer
x

40 cm

✓

70 cm

x

80 cm

x

100 cm

Variant 2

DifficultyLevel

608

Question

This shape is made from eight equilateral triangles and one large parallelogram.



Each side of all the small triangles is 2 cm long.

What is the perimeter of the shape?

Worked Solution

Perimeter from the top left corner (clockwise)
= 4 + 7 ×\times 2 + 6
= 4 + 14 + 6
= 24 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made from eight equilateral triangles and one large parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20316_v2.svg 270 indent vpad

Each side of all the small triangles is 2 cm long. What is the perimeter of the shape?
workedSolution
sm_nogap Perimeter from the top left corner (clockwise)
>>| | | --------------------- | | = 4 + 7 $\times$ 2 + 6 | | = 4 + 14 + 6 | | = {{{correctAnswer}}} |
correctAnswer
24 cm

Answers

Is Correct?Answer
✓

24 cm

x

26 cm

x

32 cm

x

34 cm

Variant 3

DifficultyLevel

622

Question

This shape is made from sixteen equilateral triangles and one large parallelogram.



Each side of all the small triangles is 6 cm long.

What is the perimeter of the shape?

Worked Solution

Perimeter from furthest left corner (clockwise)
= 7 ×\times 6 + 18 + 7 ×\times 6 + 18
= 42 + 18 + 42 + 18
= 120 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made from sixteen equilateral triangles and one large parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20316_v3.svg 330 indent vpad

Each side of all the small triangles is 6 cm long. What is the perimeter of the shape?
workedSolution
sm_nogap Perimeter from furthest left corner (clockwise)
>>| | | --------------------- | | = 7 $\times$ 6 + 18 + 7 $\times$ 6 + 18 | | = 42 + 18 + 42 + 18 | | = {{{correctAnswer}}} |
correctAnswer
120 cm

Answers

Is Correct?Answer
x

54 cm

x

96 cm

x

108 cm

✓

120 cm

Variant 4

DifficultyLevel

609

Question

This shape is made from twelve equilateral triangles and one large parallelogram.



Each side of all the small triangles is 11 cm long.

What is the perimeter of the shape?

Worked Solution

Perimeter from the top corner (clockwise)
= 9 ×\times 11 + 22 + 55
= 99 + 22 + 55
= 176 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made from twelve equilateral triangles and one large parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20316_v4.svg 270 indent vpad

Each side of all the small triangles is 11 cm long. What is the perimeter of the shape?
workedSolution
sm_nogap Perimeter from the top corner (clockwise)
>>| | | --------------------- | | = 9 $\times$ 11 + 22 + 55 | | = 99 + 22 + 55 | | = {{{correctAnswer}}} |
correctAnswer
176 cm

Answers

Is Correct?Answer
x

154 cm

✓

176 cm

x

209 cm

x

550 cm

Variant 5

DifficultyLevel

616

Question

This shape is made from twelve equilateral triangles and one large parallelogram.



Each side of all the small triangles is 12 cm long.

What is the perimeter of the shape?

Worked Solution

Perimeter from the top corner (clockwise)
= 9 ×\times 12 + 36 + 48
= 108 + 36 + 48
= 192 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
This shape is made from twelve equilateral triangles and one large parallelogram.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_20316_v5a.svg 270 indent vpad

Each side of all the small triangles is 12 cm long. What is the perimeter of the shape?
workedSolution
sm_nogap Perimeter from the top corner (clockwise)
>>| | | --------------------- | | = 9 $\times$ 12 + 36 + 48 | | = 108 + 36 + 48 | | = {{{correctAnswer}}} |
correctAnswer
192 cm

Answers

Is Correct?Answer
x

144 cm

x

168 cm

✓

192 cm

x

228 cm

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