Number worksheet — GCSE Foundation

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

2.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

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

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

5.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

6.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

7.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.

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

9.2/3 of an amount of money is £30. Work out the amount.

10.Round 6.283 to 1 significant figure.

11.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

12.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.

13.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.

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

15.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.