Number worksheet — GCSE Foundation

1.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

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

3.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

4.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.

5.Given that 2⁵ = 32, work out 2⁶.

6.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.

7.2/3 of an amount of money is £30. Work out the amount.

8.Round 0.006482 to 2 significant figures.

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

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

11.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.

12.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

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

14.Write 0.00072 in standard form.

15.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.