Number worksheet — GCSE Higher

1.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

2.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.

3.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.

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

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

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

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.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

9.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

10.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?

11.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

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

13.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

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

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.