Number worksheet — GCSE Foundation

1.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

2.Work out the reciprocal of (2 + 3)

3.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

4.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

5.Round 24,681 to the nearest 1,000.

6.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

7.Work out 3 × (−2)² − 5

8.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

9.Work out 6² − 4².

10.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

11.Work out ⁴√16

12.Work out the value of 5³.

13.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

14.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

15.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.