Number worksheet — GCSE Foundation

1.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.

2.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

3.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.

4.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.

5.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

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

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

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

9.Round 6.283 to 1 significant figure.

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

11.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

12.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

13.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.

14.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

15.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.