Printable · GCSE Foundation · ages 14-16
Direct and inverse proportion worksheet — GCSE Foundation
Fifteen questions on "direct and inverse proportion" — DfE statement R10. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Direct and inverse proportion worksheet — GCSE Foundation
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- 1.3 pencils cost £1.20. Work out the cost of 7 pencils.
- 2.y is inversely proportional to x. When x = 5, y = 8. Work out the value of y when x = 10.
- 3.The exchange rate is £1 = 1.28 US dollars. Convert £350 into US dollars.
- 4.Two numbers a and b are in the ratio a : b = 3 : 4. Given that a = 15, work out the value of b.
- 5.Two cars travel at constant speeds. Car A travels 150 km in 3 hours. Car B travels 180 km in 4 hours. Which car is faster, and what is its speed?
- 6.8 identical pens cost £6.40 in total. Work out the cost of 5 of the same pens.
- 7.y is directly proportional to x. When x = 2, y = 9. Which of these pairs of values is also consistent with this proportion?
- 8.A recipe for 8 muffins needs 200 g of sugar. Sam wants to make 20 muffins for a bake sale, and he already has 350 g of sugar. Work out how many more grams of sugar he needs to buy.
- 9.3 kg of apples cost £6. Work out the cost of 5 kg of the same apples.
- 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.
- 11.It takes 2 identical pumps 10 hours to empty a flooded basement. Working at the same rate, work out how many hours 5 of these pumps would take to empty the same basement.
- 12.The exchange rate is £1 = €1.15. Convert £200 to euros.
- 13.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.
- 14.A factory machine produces bottles at a constant rate. In 45 minutes it produces 810 bottles. The factory needs 2,160 bottles for an order. Working at the same rate, work out how many minutes it will take to produce the order.
- 15.y is directly proportional to x. When x = 5, y = 18. Work out the value of y when x = 15.
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