Number worksheet — GCSE Higher

1.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

2.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.

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

4.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.

5.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

6.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

7.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

8.Which of these is written correctly in standard form?

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

10.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

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

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

13.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

14.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

15.Work out 10% of 30% of £200.