Number worksheet — GCSE Foundation

1.Round 0.0759 to 2 decimal places.

2.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

3.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

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

5.Write 45,000 in standard form.

6.Work out √144 − 2 × 3 + √25

7.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.

8.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

9.Work out the value of 2⁻²

10.Work out 5 + 3 × (9 − 6)

11.Work out the value of √64.

12.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

13.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

14.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

15.Work out 35% of 180.