Number worksheet — GCSE Foundation

1.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

3.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

4.Work out 8% of £250.

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

6.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

7.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.

8.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.

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

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

13.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

14.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

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