Number worksheet — GCSE Foundation

1.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

2.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

3.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

4.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

5.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.

6.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

7.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

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

9.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

10.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

11.Work out the value of ∛125.

12.Work out (2/3)² + (1/2)². Give your answer as a fraction.

13.Work out (5 + 2) × 3²

14.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

15.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.