Number worksheet — GCSE Higher

1.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

2.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

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

4.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.

5.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.

6.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

7.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

8.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.

9.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

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

11.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

12.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

13.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

14.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

15.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.