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 name	Variable 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 name	Variable 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 name	Variable 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 name	Variable 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 name	Variable 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 name	Variable 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

Measurement, NAPX-I3-CA11

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Worked Solution

Variant 0

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Variant 5

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