Number worksheet — GCSE Foundation

1.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?

2.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

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

4.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

5.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

6.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

7.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

8.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

9.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.

10.Round 0.006482 to 2 significant figures.

11.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

12.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

13.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

14.Write 0.00072 in standard form.

15.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.