Number worksheet — GCSE Higher

1.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

2.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

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

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

5.Work out 10% of 30% of £200.

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

7.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

8.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

9.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

10.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

11.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.

12.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.

13.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.

14.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

15.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.