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.Which of these ratios is equivalent to 2:3?
(a)12:8
(b)8:12
(c)4:5
(d)8:3
2.The speed of a car is given by v = d ÷ t. A car travels 180 km in 3 hours. Work out the average speed of the car in km/h.
(a)90 km/h
(b)540 km/h
(c)18 km/h
(d)60 km/h
3.1 metre = 100 cm. Work out how many square centimetres there are in 1 square metre.
(a)100 cm²
(b)10000 cm²
(c)1000000 cm²
(d)200 cm²
4.Two mathematically similar cylinders have volumes 64 cm³ and 216 cm³. Work out the ratio of the height of the smaller cylinder to the height of the larger cylinder, in simplest form.
(a)2 : 3
(b)3 : 2
(c)64 : 216
(d)8 : 27
5.8 identical pens cost £6.40 in total. Work out the cost of 5 of the same pens.
(a)£2.40
(b)£0.80
(c)£4.00
(d)£10.24
6.A 1.5 kg bag of pasta costs £2.85 and a 2.4 kg bag of the same pasta costs £4.32. Work out which bag gives better value for money.
(a)The 1.5 kg bag, since it costs £1.19 per kg compared with £2.88 per kg for the 2.4 kg bag.
(b)The 2.4 kg bag, since it costs £1.80 per kg compared with £1.90 per kg for the 1.5 kg bag.
(c)The 1.5 kg bag, since it costs £1.80 per kg compared with £1.90 per kg for the 2.4 kg bag.
(d)The 1.5 kg bag, since £2.85 is less than £4.32.
7.A scale model of a shipping container is built at a scale of 1 : 30, using material with the same density as the real container. The model has a mass of 400 g. Work out the mass of the real container, giving your answer in kilograms.
(a)12 kg
(b)10,800,000 kg
(c)10,800 kg
(d)360 kg
8.5 tins of soup cost £8 in total. Work out the multiplier that changes the number of tins into the total cost in pounds.
(a)0.625
(b)40
(c)1.6
(d)3
9.At a youth club the ratio of juniors to seniors is 3:5. There are 40 members altogether. Work out how many seniors there are.
(a)24
(b)15
(c)5
(d)25
10.Amelia uses 2 kg of flour to bake 5 cakes. Using the same recipe, work out how many cakes she can bake with 6 kg of flour.
(a)10
(b)12
(c)15
(d)20
11.Which of these ratios is equivalent to 6 : 10 : 14?
(a)8:12:16
(b)3:5:8
(c)9:15:21
(d)12:20:14
12.Write 3 hours 45 minutes as a decimal number of hours.
(a)3.67
(b)4.15
(c)3.45
(d)3.75
13.Two hikers' journeys are shown on separate distance-time graphs. Hiker A's graph has gradient 4.5 km/h. Hiker B's graph has gradient 3.2 km/h. Work out how much faster Hiker A walks than Hiker B, in km/h.
(a)1.3
(b)−1.3
(c)7.7
(d)14.4
14.A train travels at a constant speed of 90 km/h. Work out the speed in m/s.
(a)1.5 m/s
(b)25 m/s
(c)324 m/s
(d)90000 m/s
15.A car is bought for £9000. Its value decreases by 8% each year. Work out its value after 2 years.
(a)£7560.00
(b)£10497.60
(c)£7617.60
(d)£8280.00

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