Number worksheet — GCSE Higher

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

2.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

3.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

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

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

6.Work out 10% of 30% of £200.

7.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.

8.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

9.After a price increase of 10%, a laptop costs £330. Work out the original price.

10.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.

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 washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

13.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

14.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.

15.Round 0.006482 to 2 significant figures.