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.The value of a motorbike falls by 12% each year. The motorbike is worth £3200 now. Write down the calculation that gives its value after 3 years.
- 2.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.
- 3.y is inversely proportional to x. When x = 5, y = 8. Work out the value of y when x = 10.
- 4.Which of these ratios is equivalent to 5 : 4?
- 5.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.
- 6.Write the ratio 2 : 1/4 as a ratio of whole numbers in its simplest form.
- 7.Work out 50% of 60.
- 8.A textbook is reduced from £60 to £45. Work out the percentage reduction.
- 9.Write 250 g : 2 kg as a ratio in its simplest form.
- 10.The price of a cycling helmet rises from £80 to £116. Work out the percentage increase.
- 11.Write 3/4 as a percentage.
- 12.There are 84 passengers on a double-decker bus. 35 of the passengers are adults and the rest are children. Write the number of adults as a fraction of the number of children. Give your answer in its simplest form.
- 13.y is directly proportional to x, and y = 3x. Work out the value of y when x = 4.y = 3x
- 14.A baker uses 450 g of flour and 300 g of butter in a batch of pastry. Write the mass of butter as a fraction of the total mass of flour and butter, in its simplest form.
- 15.y is directly proportional to x, and y = 7x. Work out the value of x when y = 35.y = 7x
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