Number worksheet — GCSE Foundation

1.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

2.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.

3.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.

4.Which of these numbers is a common factor of 18 and 24?

5.Work out ⁴√16

6.Write down a prime number between 30 and 40.

7.Round 24,681 to the nearest 1,000.

8.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

9.Work out 5 + 3 × (9 − 6)

10.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

11.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

12.Write down the symbol that makes this statement true: −2/3 ___ −5/6

13.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

14.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

15.Work out √144 − 2 × 3 + √25