Measurement, NAPX-I4-CA17

Question

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Worked Solution

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Variant 0

DifficultyLevel

630

Question

A child's bicycle wheel has a radius of 260 mm.

The wheel turns 8 times.

Using  π\large \pi = 3.14, approximately how many metres has the bicycle travelled?

Worked Solution

Using  1 m = 1000 mm

Distance (8 circumferences)
= 8 × (2πr\large \pi r)
= 8 × 2 × π\large \pi × 0.26
= 13.06... m
= 13 m (nearest metre)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A child's bicycle wheel has a radius of 260 mm. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA17.svg 200 indent vpad The wheel turns 8 times. Using  $\large \pi$ = 3.14, approximately how many metres has the bicycle travelled?
workedSolution
Using  1 m = 1000 mm sm_nogap Distance (8 circumferences)
>>|| |-| |= 8 × (2$\large \pi r$)| |= 8 × 2 × $\large \pi$ × 0.26| |= 13.06... m| |= {{{correctAnswer}}} (nearest metre)|
correctAnswer
13 m

Answers

Is Correct?Answer
x

4 m

x

7 m

✓

13 m

x

131 m

Variant 1

DifficultyLevel

629

Question

A child's bicycle wheel has a radius of 365 mm.

The wheel turns 5 times.

Using  π\large \pi = 3.14, approximately how many metres has the bicycle travelled?

Worked Solution

Using  1 m = 1000 mm

Distance (5 circumferences)
= 5 × (2πr\large \pi r)
= 5 × 2 × π\large \pi × 0.365
= 11.461 m
= 11 m (nearest metre)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A child's bicycle wheel has a radius of 365 mm. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v1.svg 200 indent vpad The wheel turns 5 times. Using  $\large \pi$ = 3.14, approximately how many metres has the bicycle travelled?
workedSolution
Using  1 m = 1000 mm sm_nogap Distance (5 circumferences)
>>|| |-| |= 5 × (2$\large \pi r$)| |= 5 × 2 × $\large \pi$ × 0.365| |= 11.461 m| |= {{{correctAnswer}}} (nearest metre)|
correctAnswer
11 m

Answers

Is Correct?Answer
x

6 m

✓

11 m

x

115 m

x

183 m

Variant 2

DifficultyLevel

628

Question

A child's scooter wheel has a radius of 130 mm.

The wheel turns 15 times.

Using  π\large \pi = 3.14, approximately how many metres has the scooter travelled?

Worked Solution

Using  1m = 1000 mm

Distance (15 circumferences)
= 15 × (2πr\large \pi r)
= 15 × 2 × π\large \pi × 0.13
= 12.246 m
= 12 m (nearest metre)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A child's scooter wheel has a radius of 130 mm. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v2.svg 200 indent vpad The wheel turns 15 times. Using  $\large \pi$ = 3.14, approximately how many metres has the scooter travelled?
workedSolution
Using  1m = 1000 mm sm_nogap Distance (15 circumferences)
>>|| |-| |= 15 × (2$\large \pi r$)| |= 15 × 2 × $\large \pi$ × 0.13| |= 12.246 m| |= {{{correctAnswer}}} (nearest metre)|
correctAnswer
12 m

Answers

Is Correct?Answer
x

41 m

✓

12 m

x

9 m

x

6 m

Variant 3

DifficultyLevel

627

Question

A wheelchair has a wheel that has a radius of 400 mm.

The wheel turns 125 times.

Approximately how many metres has the wheelchair travelled?

Worked Solution

Using  1m = 1000 mm

Distance (125 circumferences)
= 125 × (2πr\large \pi r)
= 125 × 2 × π\large \pi × 0.4
= 314 m

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A wheelchair has a wheel that has a radius of 400 mm. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v3.svg 200 indent vpad The wheel turns 125 times. Approximately how many metres has the wheelchair travelled?
workedSolution
Using  1m = 1000 mm sm_nogap Distance (125 circumferences)
>>|| |-| |= 125 × (2$\large \pi r$)| |= 125 × 2 × $\large \pi$ × 0.4| |= {{{correctAnswer}}} |
correctAnswer
314 m

Answers

Is Correct?Answer
✓

314 m

x

157 m

x

127 m

x

63 m

Variant 4

DifficultyLevel

626

Question

A mountain bike wheel has a radius of 330 mm.

The wheel turns 48 times.

Using  π\large \pi = 3.14, approximately how many metres has the mountain bike travelled?

Worked Solution

Distance (48 circumferences)
= 48 × (2πr\large \pi r)
= 48 × 2 × π\large \pi × 0.33
= 99.4752 m
= 99 m (nearest metre)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A mountain bike wheel has a radius of 330 mm. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v4.svg 200 indent vpad The wheel turns 48 times. Using  $\large \pi$ = 3.14, approximately how many metres has the mountain bike travelled?
workedSolution
sm_nogap Distance (48 circumferences)
>>|| |-| |= 48 × (2$\large \pi r$)| |= 48 × 2 × $\large \pi$ × 0.33| |= 99.4752 m| |= {{{correctAnswer}}} (nearest metre)|
correctAnswer
99 m

Answers

Is Correct?Answer
x

7 m

x

22 m

✓

99 m

x

100 m

Variant 5

DifficultyLevel

625

Question

A road bike has a wheel that has a radius of 360 mm.

The wheel turns 100 times.

Using  π\large \pi = 3.14, approximately how many metres has the road bike travelled?

Worked Solution

Using  1m = 1000 mm

Distance (100 circumferences)
= 100 × (2πr\large \pi r)
= 100 × 2 × π\large \pi × 0.36
= 226.08 m
= 226 m (nearest metre)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A road bike has a wheel that has a radius of 360 mm. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAPX-I4-CA17_v5.svg 200 indent vpad The wheel turns 100 times. Using  $\large \pi$ = 3.14, approximately how many metres has the road bike travelled?
workedSolution
Using  1m = 1000 mm sm_nogap Distance (100 circumferences)
>>|| |-| |= 100 × (2$\large \pi r$)| |= 100 × 2 × $\large \pi$ × 0.36| |= 226.08 m| |= {{{correctAnswer}}} (nearest metre)|
correctAnswer
226 m

Answers

Is Correct?Answer
x

41 m

x

113 m

✓

226 m

x

360 m

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