Number worksheet — GCSE Foundation

1.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

2.Given that 2⁵ = 32, work out 2⁶.

3.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

4.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

5.Work out 15% of £40, using 10% and 5%.

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

7.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.

8.Write 45,000 in standard form.

9.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

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.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

12.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

13.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

14.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

15.Round 0.006852 to 2 significant figures.