Measurement, NAPX-I3-CA11

Question

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Worked Solution

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Variant 0

DifficultyLevel

560

Question

A hexagon with equal sides is drawn below.

5 identical hexagons are connected as shown in the diagram below.

What is the perimeter of the larger shape?

Worked Solution
Perimeter = Number of sides × 9.5
= 22 × 9.5
= 209 mm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A hexagon with equal sides is drawn below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/06/NAPX-I3-CA11.svg 100 indent vpad 5 identical hexagons are connected as shown in the diagram below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2017/01/naplan-Y7-2016-11mci-223x300.png 240 indent vpad What is the perimeter of the larger shape?
workedSolution
| | | | --------------------- | -------------- | | Perimeter | \= Number of sides × 9.5 | | | \= 22 × 9.5 | || \= {{{correctAnswer}}}|
correctAnswer
209 mm

Answers

Is Correct?Answer
✓

209 mm

x

247 mm

x

285 mm

x

342 mm

Variant 1

DifficultyLevel

560

Question

A octagon with equal sides is drawn below.

6 identical octagons are connected as shown in the diagram below.

What is the perimeter of the larger shape?

Worked Solution
Perimeter = Number of sides × 7.5
= 38 × 7.5
= 285 mm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A octagon with equal sides is drawn below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v1a.svg 155 indent vpad 6 identical octagons are connected as shown in the diagram below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v1.svg 320 indent vpad What is the perimeter of the larger shape?
workedSolution
| | | | --------------------- | -------------- | | Perimeter | \= Number of sides × 7.5 | | | \= 38 × 7.5 | || \= {{{correctAnswer}}}|
correctAnswer
285 mm

Answers

Is Correct?Answer
x

270 mm

✓

285 mm

x

315 mm

x

360 mm

Variant 2

DifficultyLevel

559

Question

A pentagon with equal sides is drawn below.

5 identical pentagons are connected as shown in the diagram below.

What is the perimeter of the larger shape?

Worked Solution
Perimeter = Number of sides × 3.5
= 17 × 3.5
= 59.5 mm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A pentagon with equal sides is drawn below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v2b.svg 100 indent3 vpad 5 identical pentagons are connected as shown in the diagram below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v2.svg 180 indent3 vpad What is the perimeter of the larger shape?
workedSolution
| | | | --------------------- | -------------- | | Perimeter | \= Number of sides × 3.5 | | | \= 17 × 3.5 | || \= {{{correctAnswer}}}|
correctAnswer
59.5 mm

Answers

Is Correct?Answer
x

52.5 mm

✓

59.5 mm

x

87.5 mm

x

70 mm

Variant 3

DifficultyLevel

568

Question

A decagon with equal sides is drawn below.

5 identical decagons are connected as shown in the diagram below.

What is the perimeter of the larger shape?

Worked Solution
Perimeter = Number of sides × 4.5
= 42 × 4.5
= 189 mm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A decagon with equal sides is drawn below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v3a.svg 160 indent3 vpad 5 identical decagons are connected as shown in the diagram below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v3.svg 340 indent3 vpad What is the perimeter of the larger shape?
workedSolution
| | | | --------------------- | -------------- | | Perimeter | \= Number of sides × 4.5 | | | \= 42 × 4.5 | || \= {{{correctAnswer}}}|
correctAnswer
189 mm

Answers

Is Correct?Answer
✓

189 mm

x

202.5 mm

x

225 mm

x

270 mm

Variant 4

DifficultyLevel

561

Question

A hexagon with equal sides and an equilateral triangle are drawn below.

3 identical hexagons and 8 identical equilateral triangles are connected as shown in the diagram below.

What is the perimeter of the larger shape?

Worked Solution
Perimeter = Number of sides × 8.5
= 22 × 8.5
= 187 mm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A hexagon with equal sides and an equilateral triangle are drawn below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v4a.svg 150 indent3 vpad 3 identical hexagons and 8 identical equilateral triangles are connected as shown in the diagram below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v4.svg 300 indent3 vpad What is the perimeter of the larger shape?
workedSolution
| | | | --------------------- | -------------- | | Perimeter | \= Number of sides × 8.5 | | | \= 22 × 8.5 | || \= {{{correctAnswer}}}|
correctAnswer
187 mm

Answers

Is Correct?Answer
x

76.5 mm

x

93.5 mm

x

153 mm

✓

187 mm

Variant 5

DifficultyLevel

559

Question

A heptagon with equal sides is drawn below.

6 identical heptagons are connected as shown in the diagram below.

What is the perimeter of the larger shape?

Worked Solution
Perimeter = Number of sides × 5.5
= 32 × 5.5
= 176 mm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A heptagon with equal sides is drawn below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v5a.svg 100 indent3 vpad 6 identical heptagons are connected as shown in the diagram below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I3-CA11_v5.svg 400 indent3 vpad What is the perimeter of the larger shape?
workedSolution
| | | | --------------------- | -------------- | | Perimeter | \= Number of sides × 5.5 | | | \= 32 × 5.5 | || \= {{{correctAnswer}}}|
correctAnswer
176 mm

Answers

Is Correct?Answer
x

231 mm

x

198 mm

✓

176 mm

x

165 mm

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