Number worksheet — GCSE Foundation

1.Write 0.00072 in standard form.

2.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

3.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

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

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

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

7.Work out the lowest common multiple of 4 and 6.

8.Write 12 as a product of its prime factors.

9.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

10.Work out ∛64.

11.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

12.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.

13.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

14.Work out 8% of £250.

15.Write down the symbol that makes this statement true: 3/10 ___ 0.3