Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: −9 ___ −4

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

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

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

5.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

6.Work out 2/5 of 45.

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.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

9.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

10.Write the fraction 47/50 as a decimal.

11.Work out ⁴√81

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

13.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

14.Simplify x⁶ ÷ x²

15.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.