Number worksheet — GCSE Foundation

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

2.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

3.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

4.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

5.The number of pages in a book is 240, correct to the nearest 10 pages. Write down the error interval for the actual number of pages, n.

6.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

7.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

8.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.

9.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

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

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

13.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

14.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.

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