Number worksheet — GCSE Foundation

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

2.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

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

4.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.

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

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

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.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.

9.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

10.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

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

12.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

13.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

14.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.

15.Round 6.283 to 1 significant figure.