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.Write 3 hours 45 minutes as a decimal number of hours.
- 2.Noah runs 2 km in 10 minutes. Work out how long he takes to run 5 km at the same speed.
- 3.1 litre = 100 centilitres. Work out how many centilitres there are in 6 litres.
- 4.y is always the same multiple of x. When x = 6, y = 15. Work out the value of y when x = 10.
- 5.Zara is paid £9 per hour. Her wage is directly proportional to the number of hours she works. Work out her wage for working 6 hours.
- 6.Write the ratio 8 : 15 in the form 1 : n.
- 7.A graph shows two quantities, x and y, in direct proportion. Write down which statement about the graph must be true.
- 8.y is directly proportional to x. When x = 5, y = 18. Work out the value of y when x = 15.
- 9.Write the ratio 4 : 9 in the form 1 : n.
- 10.A statue exerts a downward force of 68.4 N on its base, which has an area of 2.85 m². Work out the pressure that the statue exerts on its base, in N/m².
- 11.Which of these ratios is equivalent to 2:3?
- 12.A cyclist rides 19.3 km in 47 minutes. Work out her average speed, in km/h, to 1 decimal place.
- 13.Ffion is paid £11.20 per hour. She works 6 hours on Monday and 4.5 hours on Tuesday. Work out her total pay for the two days.
- 14.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.
- 15.Given that 1 mile ≈ 1.6 km, work out a speed of 55 mph in km/h.
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