Number worksheet — GCSE Foundation

1.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

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

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

4.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

5.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.

6.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

7.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

8.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

9.Write 45,000 in standard form.

10.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.

11.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

12.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

13.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.

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

15.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?