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
MathsUKwww.geekhero.co.uk
- 1.A recipe for pancakes uses 240 g of flour to make pancakes for 6 people. Work out how many grams of flour are needed to make pancakes for 15 people, using the same recipe.
- 2.The exchange rate is £1 = €1.15. Convert £200 to euros.
- 3.y is directly proportional to x. When x = 2, y = 9. Which of these pairs of values is also consistent with this proportion?
- 4.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.
- 5.A spring's extension is directly proportional to the force applied to it. A force of 5 N produces an extension of 12 mm. Work out the extension produced by a force of 20 N.
- 6.A shop sells rope by the metre. 3 m costs £7.50 and 5 m costs £11.00. Does this data show that the cost is directly proportional to the length of rope bought? Choose the correct verdict and reason.
- 7.Two numbers are in the ratio 2 : 3. The smaller number is 8. Work out the larger number.
- 8.Work out the value of x when 4/x = 2/5.
- 9.y is inversely proportional to x. When x = 5, y = 8. Work out the value of y when x = 10.
- 10.y is directly proportional to x. When x = 5, y = 18. Work out the value of y when x = 15.
- 11.The exchange rate is £1 = 1.28 US dollars. Convert £350 into US dollars.
- 12.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.
- 13.8 identical pens cost £6.40 in total. Work out the cost of 5 of the same pens.
- 14.3 kg of apples cost £6. Work out the cost of 5 kg of the same apples.
- 15.6 identical printers can print a batch of exam papers in 40 minutes, all working at the same rate. Working at the same rate, work out how many minutes 4 of these printers would take to print the same batch.
Build your own mix at the worksheet builder.