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Direct And Inverse Proportions

Question

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Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table.

Number of spokes

4

6

8

10

12

Angle between a pair of consecutive spokes

90°

60°

...

...

...

(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?

(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.

(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is 40°?

Solution

Number of spokes	4	6	8	10	12
Angle between a pair of consecutive spokes	90°	60°	45°	36°	30°

Some More Questions From Direct and Inverse Proportions Chapter

Observe the following tables and find if x and y are directly proportional.
(i)

X

20

17

14

11

8

5

2

y

40

34

28

22

16

10

4

(ii)

X

6

10

14

18

22

26

30

y

4

8

12

16

20

24

28

(iii)

X

5

8

12

15

18

20

y

15

24

36

60

72

100

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