Number worksheet — GCSE Higher

1.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

2.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

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

4.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

5.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

6.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

7.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

8.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

9.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

10.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

11.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

12.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

13.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.

14.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

15.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.