Number worksheet — GCSE Foundation

1.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

2.Work out (−6) + (−4) × 3

3.Work out (−3) × 4 + 10

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

5.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

6.Work out 2⁵.

7.Write 260,000 in standard form.

8.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

9.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

10.Find the missing number: ▢ ÷ 15 = 24

11.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

12.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

13.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

14.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

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