Number worksheet — GCSE Higher

1.Write 0.875 as a fraction in its simplest form.

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

3.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

4.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.

5.Given that 2⁵ = 32, work out 2⁶.

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

7.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

8.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

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

10.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.

11.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

12.Work out (−2)² − 3

13.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

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

15.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.