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.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.
- 2.Two numbers are in the ratio 2 : 3. The smaller number is 8. Work out the larger number.
- 3.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.
- 4.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.
- 5.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.
- 6.Work out the value of x when 4/x = 2/5.
- 7.y is inversely proportional to x. When x = 5, y = 8. Work out the value of y when x = 10.
- 8.3 kg of apples cost £6. Work out the cost of 5 kg of the same apples.
- 9.y is directly proportional to x. When x = 5, y = 18. Work out the value of y when x = 15.
- 10.y is directly proportional to x. When x = 4, y = 10. Work out the value of y when x = 6.
- 11.6 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.
- 12.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.
- 13.Two numbers a and b are in the ratio a : b = 3 : 4. Given that a = 15, work out the value of b.
- 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 = 2, y = 9. Which of these pairs of values is also consistent with this proportion?
Build your own mix at the worksheet builder.