Number worksheet — GCSE Higher

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

2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

3.Work out 36 ÷ (2 × 3)

4.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

5.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.

7.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

8.A country has an area of 25,000,000 hectares. Write this area in standard form.

9.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.

10.Which of these decimals lies between 1/4 and 2/5?

11.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

12.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

13.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

14.Expand and simplify √3(2 + √12).

15.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.