Number worksheet — GCSE Foundation

1.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

2.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

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

4.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

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

6.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

7.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

8.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

9.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

10.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

11.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

12.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

13.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

14.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.

15.Work out 0.6 × 0.04.