Number worksheet — GCSE Foundation

1.Work out 100 − 4 × 5²

2.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

3.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

4.Work out the value of √49 + ∛27

5.Write 0.005 in standard form.

6.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

7.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

8.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.

9.Work out how many factors 36 has.

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

11.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

12.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

13.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

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

15.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.