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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- 1.6 identical taps fill a paddling pool in 20 minutes. Each tap fills at the same steady rate. Work out how long 3 of these taps would take to fill the same pool.
- 2.The exchange rate is £1 = €1.15. Convert £200 to euros.
- 3.A car uses fuel at a constant rate. It uses 24 litres of fuel to travel 300 km. Assuming the same rate, work out how many litres of fuel are needed for a journey of 175 km.
- 4.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.
- 5.8 identical pens cost £6.40 in total. Work out the cost of 5 of the same pens.
- 6.A journey takes 4 hours at an average speed of 60 km/h. The time taken is inversely proportional to the average speed. Work out how long the same journey takes at an average speed of 80 km/h.
- 7.It takes 8 painters 6 days to paint a fence. Working at the same rate, work out how many days 4 painters would take to paint the same fence.
- 8.Two numbers are in the ratio 2 : 3. The smaller number is 8. Work out the larger number.
- 9.3 kg of apples cost £6. Work out the cost of 5 kg of the same apples.
- 10.Two numbers a and b are in the ratio a : b = 3 : 4. Given that a = 15, work out the value of b.
- 11.y is directly proportional to x. When x = 4, y = 10. Work out the value of y when x = 6.
- 12.A 750 g box of cereal costs £2.70. A 500 g box of the same cereal costs £1.95. Work out which box is better value, and its cost per 100 g.
- 13.The exchange rate is £1 = 1.28 US dollars. Convert £350 into US dollars.
- 14.A machine fills bottles at a constant rate. It fills 18 bottles in 3 minutes. Working at the same rate, work out how many bottles the machine fills in 8 minutes.
- 15.y is directly proportional to x. When x = 2, y = 9. Which of these pairs of values is also consistent with this proportion?
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