Number worksheet — GCSE Higher

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.Work out √3 × √12, giving your answer as an integer.

3.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

4.Work out 6² − 4².

5.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

6.Work out ⁴√81

7.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

8.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

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

10.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

11.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

12.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

13.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

14.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

15.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.