Page 250 - ICSE Math 6

Self-Testing Exercise 2

RATIO, PROPORTION AND ARITHMETICAL PROBLEMS

1. Divide ` 3,500 in the ratio 3 : 7.

2. A bike requires 10 litres of petrol to travel 400 km. How much petrol is needed to travel
120 km?

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3. With a speed of 45 km h , Rohan can cover a certain distance in 2 hours. How much time will
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he take to cover the same distance with a speed of 60 km h ?
4. The ratio of the sides of a triangle are 2 : 3 : 5. If the shortest side is 22 m, find the longest side.

5. Determine x.
5 x 11 55
(a) = (b) =
8 104 14 x

6. Find the number if its 26% is 65.

7. In a basket, 15% oranges are rotten. If there are 680 good oranges, find the total number of
oranges in the basket.

8. The ratio of the breadth to the length of a rectangular sheet of paper is 8 : 11. If the length is
22 cm, find its breadth.

9. If the cost of 18 chairs is ` 4,500, find the cost of 12 such chairs.

10. In a proportion, the first, third and fourth terms are 16, 12 and 18 respectively. Find the second
term.

11. A man spends 15% of his salary on shopping and 20% on food. Find out how much money he
saves if his salary is ` 15,000.

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12. The speed of a train is 125 km h . How much distance will it cover in 4 hours?

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13. An aeroplane flies 2,520 km in 4 hours. Find its speed in m s .
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14. A 120 m long train is running at a speed of 35 m s . How much time will it take to cross a 300
m long platform?

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15. Two atheletes A and B run with speeds 9 km h and 13 km h respectively. They start running
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from the same point. Find the distance between them after 2 hours, if they run in the opposite
directions. 2

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