Number worksheet — GCSE Foundation

1.Which of these numbers lies between −8 and −5 on a number line?

2.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

3.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

4.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.

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

6.Work out ∛(−27) + ∛8

7.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

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

9.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

10.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

11.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.

12.Write the fraction 47/50 as a decimal.

13.Round 6.283 to 1 significant figure.

14.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

15.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.