Number worksheet — GCSE Higher

1.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

2.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.

3.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

4.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

5.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

6.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

7.Work out 3 + 4 × (−2).

8.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.

9.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

10.Which of these decimals lies between 1/4 and 2/5?

11.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

12.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.

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

14.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

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