Number worksheet — GCSE Foundation

1.Work out the value of 2⁻²

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

3.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

4.Work out 3π − π, giving your answer as a multiple of π.

5.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.

6.Work out the value of 5³.

7.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

8.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

9.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

10.Round 592.5 to the nearest 10.

11.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.

12.Work out √25 + 4² − 12 ÷ 3

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

14.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

15.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0