Number worksheet — GCSE Foundation

1.Work out √144 − 2 × 3 + √25

2.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

3.Work out the lowest common multiple of 9 and 15.

4.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

5.Round 592.5 to the nearest 10.

6.Write the fraction 9/25 as a decimal.

7.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

8.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

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

10.Given that 2⁵ = 32, work out 2⁶.

11.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

12.Write down the reciprocal of 0.2

13.Round 6.283 to 1 significant figure.

14.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

15.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.