Number worksheet — GCSE Foundation

1.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

2.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?

3.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.

4.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

5.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

6.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

7.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.

8.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

10.3.4 × 10⁵ is written as an ordinary number. Work out this number.

11.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

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

13.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

14.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

15.2/3 of an amount of money is £30. Work out the amount.