Number worksheet — GCSE Foundation

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

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

3.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.

4.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

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

6.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

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

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

9.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.

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

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

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

13.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

14.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

15.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.