Ratio and proportion
Marks: 50 Time: 01 Hr, 00 Mins
Student Name: …………………………………………………… Marks Obtained: ………………
Multiple Choice Questions (MCQs)
1. 10 g of caustic soda dissolved in 100 mL of water makes a solution of caustic soda. Amount of
caustic soda needed for 1 L of water to make the same type of solution is
(a) 100 g
(b) 50 g
(c) 1 kg
(d) 80 g [1]
2. Which of the following ratios does not form a proportion?
(a) 2/7 , 6/21
(b) 8/24 , 6/20
(c) 1m to 30 cm, 1 minute : 18 seconds
(d) 12/18 , 14/21 [1]
3. If x : y : : 2 : 3 and 2 : x : : 4 : 8, then the value of y is
(a) 6
(b) 8
(c) 4
(d) 12 [1]
4. At a factory, the ratio of defective parts to total number of parts is 3 : 200. Which is an equivalent
ratio?
(a) 6 : 1000
(b) 30 : 1000
(c) 150 : 10000
(d) 1000 : 10,000 [1]
5. If two-thirds of A is four-fifths of B, then A : B = ?
(a) 5 : 6
(b) 6 : 5
(c) 10 : 9
(d) 9 : 10 [1]
6. If xy = 72, which of the following is true?
(a) x : 9 = y : 8
(b) x : 8 = 9 : y
(c) x : 36 = y : 2
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(d) 18 : x = 4 : y [ 1 ]
7. A car can travel 240 km in 15 L petrol. How much distance will it travel in 25 L of petrol?
(a) 400 km
(b) 500 km
(c) 390 km
(d) 450 km [ 1 ]
8. The weight of 16 bundles is 200 kg. How many bundles will weigh 1250 kg?
(a) 96 bundles
(b) 100 bundles
(c) 150 bundles
(d) 125 bundles [ 1 ]
9. The monthly consumption of cereals of a hostel having 400 students is 5200 kg. Find the
consumption, if the number of students is 45.
(a) 950 kg
(b) 840 kg
(c) 585 kg
(d) 745 kg [1]
10. The greatest ratio among the ratios 2 : 3, 5 : 8, 75 : 121 and 40 : 25 is
(a) 2 : 3
(b) 5 : 8
(c) 75 : 121
(d) 40 : 25 [1]
Short Answer Type Questions (Any 5)
11. Explain what is wrong with each of the following statements? [1x2]
a) The ratio of 3 boys to 5 cricket balls is 3 : 5.
12. Use the figure to write the following ratios.
[1x2]
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a) Area of the shaded figure to the area of the whole figure.
13. In a sale, prices are reduced in the ratio 5 : 6. Find the sale prices of articles whose normal prices
are [1x2]
a) 531.72
14. There are 500 boys, 350 girls and 50 teachers in a school. Find the ratio of [1x2]
a) boys to girls
15. What multiplying factor decreases 72 to 60? [2]
16. Check whether the following ratios are in proportion or not. [1x2]
a) 64 kg : 56 kg and 80 : 70
17. Find which of the following sets of numbers are in proportion. [2x2]
a) 20, 8, 30, 9
b) 4, 7, 9, 17
Long Answer Type Questions (Any 10)
18. Two distances are in the ratio 15 : 9, the larger 180 km. Find the smaller distance. [3]
19. The scale of a map is 1 : 100000. Find (in km) the length of a road which is represented by a line
4.7 cm long on the map. [ 3 ]
20. Saturn and Jupiter take 9 h 56 min and 10 h 40 min respectively for one spin on their axes. Write
the ratio of these times in lowest form [ 3 ]
21. The shadow of a 3 m long stick is 4 m long. At the same time of the day, if the shadow of a
flagstaff is 24 m long, how tall is the flagstaff? [3]
22. A scooterist covers 48 km in 1 hour and a car driver covers 120 km in 2 hours. Find the ratio of
their speeds. [ 3 ]
23. The cost of 8 kg of potatoes is 46.56. Find the cost of 15 kg of potatoes. [3]
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24. A car travels 540 km in 30 L of petrol. How far will it travel in 20 L? [3]
25. In a factory, it was found that for every 15000 light bulbs produced, 60 were faulty. How many are
likely to be found faulty if 6000 are tested? [3]
26. The profit of 75000 of a business is divided among 3 partners in the ratios 3 : 4 : 8. Find the
share of each partner. [ 3 ]
27. The ratio of boys to girls in a school is 3 : 2. If there are 600 boys in the school, find the number of
girls. [ 3 ]
28. The three sides of a triangle are in the ratio 1 : 1.5 : 2. If the greatest side is 8 cm, find the other
two sides. [ 3 ]
29. The lengths of two wires are in the ratio 5 : 14. If the two wires are joined together, what is the
ratio of the length of each piece of wire to the total length? [3]
30. If 15 shares in a company are worth 3950, how many shares can be bought for 5530? [3]
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