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.
Ratio, proportion and rates of change worksheet — GCSE Foundation
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- 1.A graph shows y plotted against x. The graph is a curve that gets closer to both axes but never touches them, and y decreases as x increases. Write down whether this graph could show direct proportion, inverse proportion, or neither.
- 2.A concrete block exerts a force of 45 N on the ground through a base with an area of 0.05 m². Work out the pressure on the ground, in N/m².
- 3.y is directly proportional to x, and y = 3x. Work out the value of y when x = 4.y = 3x
- 4.The time taken for a train journey is inversely proportional to the average speed of the train. At an average speed of 60 km/h the journey takes 2 hours. Work out the time taken at an average speed of 40 km/h.
- 5.A salt solution has a concentration of 10%. The solution contains 50 g of salt. Work out the total mass of the solution.
- 6.A force of 126 N acts on an area of 3.5 m². Work out the pressure on the area, in N/m².
- 7.A scale drawing of a garden uses a scale of 1 : 20. Write down a formula for the real length, L metres, in terms of the length on the drawing, d centimetres, given that 1 metre = 100 centimetres.
- 8.Write 400 g : 1.5 kg as a ratio in its simplest form.
- 9.A gardener mixes 300 ml of plant feed concentrate with 1.2 litres of water to make a spray. Write the ratio of concentrate to water in its simplest form.
- 10.A train journey takes 2 hours 15 minutes. A bus journey to the same place takes 3 hours 45 minutes. Write the time for the train journey as a fraction of the time for the bus journey, giving your answer in its simplest form.
- 11.The exchange rate is £1 = €1.15. Convert £200 to euros.
- 12.A ratio is 3 : 5. Write the first part of the ratio as a fraction of the whole.
- 13.Write 75p : £1.50 as a ratio of whole numbers in its simplest form.
- 14.A sum of £150 is divided between Ben and Chloe in the ratio 2:3. Work out Chloe's share.
- 15.Two mathematically similar circles have radii 4 cm and 20 cm. Write the ratio of the area of the smaller circle to the area of the larger circle in its simplest form.
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