Number worksheet — GCSE Foundation

1.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

2.Work out 250 ÷ 1000.

3.Work out −7 − (−3).

4.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

5.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

6.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

7.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

8.Work out ∛(−27) + ∛8

9.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.

10.Work out 4π + 2π, giving your answer as a multiple of π.

11.Work out the value of √49 + ∛27

12.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

13.Work out −6 × (−3).

14.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

15.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.