Number worksheet — GCSE Foundation

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

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

3.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

4.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.

5.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

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

7.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.

8.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

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

10.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

11.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

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

13.After a price increase of 10%, a laptop costs £330. Work out the original price.

14.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.

15.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.