Number worksheet — GCSE Foundation

1.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

2.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

3.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

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

5.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

6.Which one of these statements about negative numbers is true?

7.Grace buys three items costing £9.95, £19.90 and £4.99. Work out an estimate for the total cost, by rounding each price to the nearest pound.

8.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

9.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

10.Write down the fraction, in its simplest form, that is equal to 0.6

11.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

12.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

13.Simplify x⁶ ÷ x²

14.Write down the decimal that is equal to 3/5.

15.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.