Printable · GCSE Foundation · ages 14-16

Ratio, proportion and rates of change worksheet — GCSE Foundation

Fifteen questions across the ratio, proportion and rates of change statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.

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Ratio, proportion and rates of change worksheet — GCSE Foundation

Maths · GCSE Foundation · Ratio, proportion and rates of change · 15 questions

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1.A scale model of a bridge is built at a scale of 1 : 120. The real bridge is 84 m long. Work out the length of the model, in centimetres.
(a)7 cm
(b)0.7 cm
(c)70 cm
(d)1,008,000 cm
2.An adult cinema ticket costs £15 and a child ticket costs £9. Write the ratio of the adult price to the child price in its simplest form.
(a)5:3
(b)2:3
(c)3:5
(d)5:8
3.A recipe for pancakes uses 240 g of flour to make pancakes for 6 people. Work out how many grams of flour are needed to make pancakes for 15 people, using the same recipe.
(a)40 g
(b)249 g
(c)96 g
(d)600 g
4.A rope of length A is 1.5 times as long as a rope of length B. Write the ratio A : B in its simplest form.
(a)2 : 3
(b)3 : 5
(c)3 : 2
(d)1.5 : 1
5.Write the ratio 4 : 9 in the form 1 : n.
(a)1 : 5
(b)1 : 2.25
(c)2.25 : 1
(d)1 : 36
6.A beaker holds 500 g of a salt solution of concentration 12%. Pure water is added until the concentration falls to 8%. Work out the mass of water added.
(a)750 g
(b)250 g
(c)20 g
(d)60 g
7.A recipe needs 1.2 kg of flour. Dan has 750 g of flour in his cupboard. Write the mass of flour the recipe needs as a fraction of the mass of flour Dan has. Give your answer in its simplest form.
(a)4/25
(b)8/13
(c)5/8
(d)8/5
8.A map has a scale of 1:25000. A road on the map is 6 cm long. Work out the real-life length of the road, giving your answer in kilometres.
(a)1500 km
(b)1.5 km
(c)15 km
(d)0.15 km
9.A coach journey of 240 km takes 3 hours. For this fixed distance the average speed needed is inversely proportional to the time taken. Work out the average speed needed to complete the same journey in 2 hours.
(a)160 km/h
(b)480 km/h
(c)120 km/h
(d)80 km/h
10.Write 0.25 as a percentage.
(a)2.5%
(b)0.25%
(c)250%
(d)25%
11.A shop sells rope by the metre. 3 m costs £7.50 and 5 m costs £11.00. Does this data show that the cost is directly proportional to the length of rope bought? Choose the correct verdict and reason.
(a)No — the cost per metre differs: £2.50/m vs £2.20/m
(b)Yes — because both amounts increase as length increases
(c)No — because 5 m costs more than 3 m in total
(d)Yes — the cost per metre is £2.50 in both cases
12.A force of 20 N acts on an area of 4 m². Using pressure = force ÷ area, work out the pressure, in pascals.
(a)5
(b)24
(c)80
(d)16
13.A concrete mix is made from gravel and cement in the ratio 5 : 1 by mass. The mass of cement is c kg and the total mass of the mix is m kg. Write down a formula for m in terms of c.
(a)m = c + 5
(b)m = c/6
(c)m = 6c
(d)m = 5c
14.y is directly proportional to x, so y = kx. When x = 2, the value of y is 10. Work out the value of k.
(a)20
(b)12
(c)8
(d)5
15.Divide 84 in the ratio 3:4. Work out the smaller share.
(a)42
(b)48
(c)36
(d)28

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