Printable · GCSE Foundation · ages 14-16

Proportion as equality of ratios worksheet — GCSE Foundation

Fifteen questions on "proportion as equality of ratios" — DfE statement R7. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Proportion as equality of ratios worksheet — GCSE Foundation

Maths · GCSE Foundation · R7 · Proportion as equality of ratios · 15 questions

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1.A car travels 90 km using 6 litres of petrol. Work out how far the car can travel, at the same rate, using 9 litres of petrol.
(a)135 km
(b)60 km
(c)99 km
(d)45 km
2.Isla says that the ratio 4:6 is equivalent to the ratio 6:9. Is she correct? Give a reason for your answer.
(a)Yes, because the number 6 appears in both ratios
(b)No, because 9 − 6 is not equal to 6 − 4
(c)No, because 4 × 6 is not equal to 6 × 9
(d)Yes, because 4 × 9 = 6 × 6
3.y is directly proportional to x. When x = 8, y = 20. Work out the value of y when x = 12.
(a)14.5
(b)4.8
(c)30
(d)24
4.A car travels at a constant speed. It travels 150 miles in 3 hours. At the same speed, work out how far it travels in 5 hours.
(a)90 miles
(b)200 miles
(c)250 miles
(d)300 miles
5.A salt solution has a concentration of 10%. The solution contains 50 g of salt. Work out the total mass of the solution.
(a)450 g
(b)5 g
(c)500 g
(d)5000 g
6.A solution is made by dissolving 50 g of sugar in 200 g of water. Work out the concentration of sugar in the solution as a percentage.
(a)20%
(b)25%
(c)80%
(d)0.2%
7.A recipe for 6 muffins needs 150 g of flour. Aisha wants to make 15 muffins using the same recipe. Work out how much flour she needs.
(a)375 g
(b)60 g
(c)150 g
(d)300 g
8.The ratio of cats to dogs in a shelter is 3:4. There are 18 cats. Work out the total number of animals in the shelter.
(a)42
(b)126
(c)25
(d)24
9.£96 is shared between Ben, Cara and Dev in the ratio 2:3:7. Work out how much Cara receives.
(a)£16
(b)£56
(c)£28.80
(d)£24
10.A shop sells fruit juice concentrate that must be diluted with water in the ratio 2 : 5 (concentrate : water) to make squash. Priya has 8 litres of concentrate. Work out how much water she needs to keep the same ratio.
(a)40 litres
(b)3.2 litres
(c)11 litres
(d)20 litres
11.A cordial drink is made by mixing cordial concentrate and water in the ratio 1 : 6. Freya says that a 700 ml jug of this drink contains 100 ml of concentrate. Is she correct? Give a reason for your answer.
(a)No — half of 700 ml (350 ml) should be concentrate
(b)No — 600 ml is concentrate, 100 ml is water
(c)Yes — 700 ÷ 7 = 100 ml for the 1 part of concentrate
(d)No — divide 700 by 6, not 7: about 117 ml
12.Two numbers are in the ratio 3 : 7. Their sum is 60. Work out the positive difference between the two numbers.
(a)80
(b)60
(c)4
(d)24
13.300 g of a salt solution of concentration 10% is poured into 200 g of a salt solution of concentration 25%. Work out the concentration of salt in the mixture.
(a)17.5%
(b)26.7%
(c)16%
(d)19%
14.A road sign 3 m tall casts a shadow 5 m long. At the same time, a nearby lamppost casts a shadow 10 m long. Work out the height of the lamppost.
(a)1.50 m
(b)16.67 m
(c)6.00 m
(d)8.00 m
15.Two numbers A and B are in the ratio 3:5. When 6 is added to B, the ratio of A to the new value of B is 1:2. Work out the value of A.
(a)18
(b)30
(c)9
(d)6

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