Number worksheet — GCSE Foundation

1.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

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

3.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

4.Work out 10% of 30% of £200.

5.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

6.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

7.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.

8.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

9.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

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

11.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

12.Round 0.006482 to 2 significant figures.

13.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

14.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

15.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.