Number worksheet — GCSE Foundation

1.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

2.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

3.2/3 of an amount of money is £30. Work out the amount.

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

5.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.

6.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

7.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

8.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

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

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

11.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

12.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

13.Round 0.006482 to 2 significant figures.

14.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

15.Work out 10% of 30% of £200.