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Worksheets

Inverse Proportion

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Inverse proportion is a relationship between two variables where:

a)

Both variables increase together

b)

One variable increases while the other decreases

c)

Both variables decrease together

d)

One variable remains constant while the other changes

2.

In an inverse proportion, if one variable doubles, the other variable will:

a)

Also double

b)

Halve

c)

Quadruple

d)

Remain the same

3.

A car travels a certain distance in 2 hours. How long will it take to travel half the distance?

a)

1 hour

b)

2 hours

c)

4 hours

d)

8 hours

4.

If 5 workers can complete a job in 10 days, how many days will it take for 10 workers to complete the same job?

a)

5 days

b)

10 days

c)

15 days

d)

20 days

5.

In an inverse proportion, if one variable decreases by half, the other variable will:

a)

Also decrease by half

b)

Double

c)

Remain the same

d)

Triple

6.


If 6 people can build a wall in 8 hours, how many people will be needed to build the same wall in 2 hours?

a)

3 people

b)

6 people

c)

12 people

d)

24 people

7.


If it takes 3 workers 6 hours to complete a project, how many workers will be needed to complete the same project in 2 hours?

a)

1 worker

b)

2 workers

c)

3 workers

d)

9 workers

8.

The time it takes to travel a certain distance is inversely proportional to the speed. If it takes 4 hours to cover the distance at a speed of 50 km/h, how long will it take to cover the same distance at a speed of 25 km/h?

a)

2 hours

b)

4 hours

c)

8 hours

d)

16 hours

9.


If 8 workers can complete a job in 12 days, how many workers are needed to complete the same job in 6 days?

a)

2 workers

b)

4 workers

c)

8 workers

d)

16 workers

10.

A pump fills a tank in 3 hours. How long will it take to fill the tank if there were 6 pumps?

a)

0.5 hours

b)

1 hour

c)

2 hours

d)

18 hours

11.

8 cows can graze a field in 28 days. How long would 4 cows take to graze the same field?

a)

48

b)

56

c)

36

d)

40

12.

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

a)

20

b)

15

c)

16

d)

24

13.

7 men can complete a job in 52 days. In how many days will 13 men finish the same job?

a)

36

b)

28

c)

42

d)

56

14.

David can complete his work in 6 days working 8 hours per day. If he works 3 hours per day, how many days will he take to complete the work ?

a)

12

b)

32

c)

24

d)

16

15.

6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.

a)

10

b)

14

c)

18

d)

22

16.

Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool?

a)

12

b)

13

c)

14

d)

15

17.

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

a)

6

b)

12

c)

36

d)

48

18.

In a hostel, 75 students had food provision for 24 days. If 15 students leave the hostel, for how many days would the food provision last?

a)

20

b)

25

c)

55

d)

30

19.

If 8 men can do a piece of work in 20 days, in how many days could 20 men do the same work ?

a)

4

b)

6

c)

8

d)

10

20.

10 men can dig a trench in 15 days. How long will 3 men take ?

a)

100

b)

60

c)

75

d)

50