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Inverse Variation

Total questions: 10

Worksheet time: 19mins

Name
Class
Date
1.

If y varies inversely as x, and y = 32 when x = 3, find x when y = 15.

a)

3/5

b)

8/5

c)

16/5

d)

32/5

2.

If x varies inversely as the square root of y, and x = 9 when y = 121, find x when y = 81.

a)

7

b)

11

c)

13

d)

17

3.

The current in a simple electrical circuit is inversely proportional to the resistance. If the current is 80 amps when the resistance is 50 ohms, find the current when the resistance is 22 ohms.

a)

90 amps

b)

100 amps

c)

105 amps

d)

120 amps

4.

If y varies inversely as x, and y = 23 when x = 8, find y when x = 4.

a)

26

b)

46

c)

52

d)

92

5.

If y varies inversely as x, and y = 14 when x = 8, find y when x = 7.

a)

16

b)

20

c)

24

d)

28

6.

If x varies inversely as y, and x = 3 when y = 8, find y when x = 4.

a)

3

b)

6

c)

9

d)

12

7.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

18 days

b)

20 days

c)

22 days

d)

24 days

8.

12 men can dig a hole in 8 days. How many men can dig it in 6 days?

a)

14 men

b)

16 men

c)

18 men

d)

20 men

9.

y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

a)

-64

b)

-128

c)

-256

d)

-512

10.

What is the constant of variation of the equation, x = 29/y?

a)

0

b)

1

c)

29

d)

y