Number worksheet — GCSE Foundation

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

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

3.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

4.2/3 of an amount of money is £30. Work out the amount.

5.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.

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

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

8.Write 0.00072 in standard form.

9.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

10.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

11.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

12.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

13.Work out 8% of £250.

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

15.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.