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
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- 1.A car travels 180 miles in 3 hours. A lorry travels 160 miles in 4 hours. Write the car's average speed as a fraction of the lorry's average speed, giving your answer in its simplest form.
- 2.A tray holds 8 muffins and 20 cupcakes. Write the ratio of the number of muffins to the number of cupcakes in its simplest form.
- 3.A shop sells identical pens. The total cost, C pence, of n pens is given by C = 12n. Write the ratio n : C in its simplest form.
- 4.3 kg of apples cost £6. Work out the cost of 5 kg of the same apples.
- 5.A cyclist travels 45 km in 3 hours at a constant speed. Work out the cyclist's average speed, in km/h.
- 6.A map has a scale of 2 cm : 5 km. A footpath measures 8 cm on the map. Work out the real length of the footpath, in kilometres.
- 7.y is directly proportional to x. When x = 4, y = 10. Work out the value of y when x = 6.
- 8.Two numbers are in the ratio 2 : 3. The smaller number is 8. Work out the larger number.
- 9.Write 1/5 as a percentage.
- 10.Work out the difference between 45% of 70 and 35% of 80.
- 11.A cyclist rides at an average speed of 24 km/h for 1 hour 15 minutes. Work out the distance travelled, in km.
- 12.A map has a scale of 1 : 100 000. Two railway stations are 8 km apart in real life. Work out the distance between the stations on the map, in centimetres.
- 13.Write 3/4 as a percentage.
- 14.Write 45 minutes : 2 hours as a ratio in its simplest form.
- 15.Write £3.60 : £2.40 as a ratio in its simplest form.
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