Number worksheet — GCSE Foundation

1.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

2.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

3.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

4.Work out (−3) × 4 + 10

5.Work out the value of √64.

6.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

7.Work out 1/2 of 1/4 of 80.

8.Write down the symbol that makes this statement true: 0.45 ___ 0.5

9.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

10.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

11.Work out 20 − 8 ÷ 2 + 1

12.Work out √25 + 4² − 12 ÷ 3

13.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.

14.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

15.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².