Number worksheet — GCSE Foundation

1.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

2.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

3.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

4.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

5.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

6.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

7.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

8.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

9.Work out (2/3)² + (1/2)². Give your answer as a fraction.

10.Round 3.947 to 2 decimal places.

11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

12.Work out (−3) × 4 + 2 × (−5)

13.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

14.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

15.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.