Direct & Inverse Proportions — Chapter Test | Class 8 IMO

Q1

In direct proportion, x/y is ___ ?

In direct proportion the ratio stays constant.

Q2

In inverse proportion, x × y is ___ ?

In inverse proportion the product stays constant.

Q3

More workers taking less time is an example of ___ ?

More workers, less time — inverse proportion.

Q4

Cost rising with quantity is an example of ___ ?

Cost and quantity rise together — direct proportion.

Q5

2 pens cost ₹20. What do 5 pens cost?

1 pen = ₹10, so 5 pens = ₹50.

Q6

3 kg cost ₹90. What do 5 kg cost?

₹30 per kg × 5 = ₹150.

Q7

4 workers finish in 6 days. How long for 8 workers?

4 × 6 = 24, so 24 ÷ 8 = 3 days.

Q8

6 men finish in 10 days. How long for 12 men?

6 × 10 = 60, so 60 ÷ 12 = 5 days.

Q9

A car covers 100 km in 2 hours. How far in 5 hours at the same speed?

50 km/hr × 5 = 250 km.

Q10

At 60 km/hr a trip takes 4 hours. How long at 80 km/hr?

60 × 4 = 240, so 240 ÷ 80 = 3 hours.

Q11

Food lasts 20 people for 6 days. How long for 30 people?

20 × 6 = 120, so 120 ÷ 30 = 4 days.

Q12

5 taps fill a tank in 8 hours. How long for 10 taps?

5 × 8 = 40, so 40 ÷ 10 = 4 hours.

Q13

12 men build a wall in 9 days. How long for 18 men?

12 × 9 = 108, so 108 ÷ 18 = 6 days.

Q14

8 machines make 800 items in a day. How many items would 5 machines make in a day?

Direct: 100 items per machine × 5 = 500.