Number worksheet — GCSE Foundation

1.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

2.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

3.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.

4.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.

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

6.Work out (2/3)² + (1/2)². Give your answer as a fraction.

7.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

8.Work out 8% of £250.

9.Work out 3 × (−2)² − 5

10.2/3 of an amount of money is £30. Work out the amount.

11.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

12.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

13.Work out 6² − 4².

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

15.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.