20311

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

627

Question

A child's bike tyre has a circumference of 64 cm.

Which of these is closest to the radius of the tyre?

Worked Solution
CC = 2πr\large \pi \large r
64 = 2πr\large \pi \large r
∴ r\therefore\ \large r = 642π\dfrac{64}{2\large \pi}
≈\approx 10.2 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A child's bike tyre has a circumference of 64 cm. Which of these is closest to the radius of the tyre?
workedSolution
| | | | ----------------: | ----------------------- | | $C$ | \= 2$\large \pi \large r$ | | 64 | \= 2$\large \pi \large r$ | | $\therefore\ \large r$ | \= $\dfrac{64}{2\large \pi}$ | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
10.2 cm

Answers

Is Correct?Answer
✓

10.2 cm

x

20.4 cm

x

32.0 cm

x

100.5 cm

Variant 1

DifficultyLevel

627

Question

A child's bike tyre has a circumference of 81 cm.

Which of these is closest to the radius of the tyre?

Worked Solution
CC = 2πr\large \pi \large r
81 = 2πr\large \pi \large r
∴ r\therefore\ \large r = 812π\dfrac{81}{2\large \pi}
≈\approx 12.9 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A child's bike tyre has a circumference of 81 cm. Which of these is closest to the radius of the tyre?
workedSolution
| | | | ----------------: | ----------------------- | | $C$ | \= 2$\large \pi \large r$ | | 81 | \= 2$\large \pi \large r$ | | $\therefore\ \large r$ | \= $\dfrac{81}{2\large \pi}$ | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
12.9 cm

Answers

Is Correct?Answer
x

127.2 cm

x

40.5 cm

x

25.8 cm

✓

12.9 cm

Variant 2

DifficultyLevel

626

Question

A mountain bike tyre has a circumference of 205 cm.

Which of these is closest to the radius of the tyre?

Worked Solution
CC = 2πr\large \pi \large r
205 = 2πr\large \pi \large r
∴ r\therefore\ \large r = 2052π\dfrac{205}{2\large \pi}
≈\approx 32.6 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A mountain bike tyre has a circumference of 205 cm. Which of these is closest to the radius of the tyre?
workedSolution
| | | | ----------------: | ----------------------- | | $C$ | \= 2$\large \pi \large r$ | | 205 | \= 2$\large \pi \large r$ | | $\therefore\ \large r$ | \= $\dfrac{205}{2\large \pi}$ | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
32.6 cm

Answers

Is Correct?Answer
x

16.3 cm

x

20.5 cm

✓

32.6 cm

x

65.3 cm

Variant 3

DifficultyLevel

625

Question

An electric scooter tyre has a circumference of 35 cm.

Which of these is closest to the radius of the tyre?

Worked Solution
CC = 2πr\large \pi \large r
35 = 2πr\large \pi \large r
∴ r\therefore\ \large r = 352π\dfrac{35}{2\large \pi}
≈\approx 5.6 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
An electric scooter tyre has a circumference of 35 cm. Which of these is closest to the radius of the tyre?
workedSolution
| | | | ----------------: | ----------------------- | | $C$ | \= 2$\large \pi \large r$ | | 35 | \= 2$\large \pi \large r$ | | $\therefore\ \large r$ | \= $\dfrac{35}{2\large \pi}$ | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
5.6 cm

Answers

Is Correct?Answer
x

2.8 cm

✓

5.6 cm

x

11.1 cm

x

17.5 cm

Variant 4

DifficultyLevel

624

Question

A car's tyre has a circumference of 223 cm.

Which of these is closest to the radius of the tyre?

Worked Solution
CC = 2πr\large \pi \large r
223 = 2πr\large \pi \large r
∴ r\therefore\ \large r = 2232π\dfrac{223}{2\large \pi}
≈\approx 35.5 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A car's tyre has a circumference of 223 cm. Which of these is closest to the radius of the tyre?
workedSolution
| | | | ----------------: | ----------------------- | | $C$ | \= 2$\large \pi \large r$ | | 223 | \= 2$\large \pi \large r$ | | $\therefore\ \large r$ | \= $\dfrac{223}{2\large \pi}$ | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
35.5 cm

Answers

Is Correct?Answer
x

17.7 cm

✓

35.5 cm

x

71.0 cm

x

111.5 cm

Variant 5

DifficultyLevel

622

Question

An old wagon wheel has a circumference of 600 cm.

Which of these is closest to the radius of the wheel?

Worked Solution
CC = 2πr\large \pi \large r
600 = 2πr\large \pi \large r
∴ r\therefore\ \large r = 6002π\dfrac{600}{2\large \pi}
≈\approx 95.5 cm

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
An old wagon wheel has a circumference of 600 cm. Which of these is closest to the radius of the wheel?
workedSolution
| | | | ----------------: | ----------------------- | | $C$ | \= 2$\large \pi \large r$ | | 600 | \= 2$\large \pi \large r$ | | $\therefore\ \large r$ | \= $\dfrac{600}{2\large \pi}$ | | | $\approx$ {{{correctAnswer}}} |
correctAnswer
95.5 cm

Answers

Is Correct?Answer
x

23.9 cm

x

47.7 cm

✓

95.5 cm

x

191.0 cm

Tags