Number worksheet — GCSE Foundation

1.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.

2.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

3.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.

4.Which of these is written correctly in standard form?

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

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

7.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?

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

9.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

10.2/3 of an amount of money is £30. Work out the amount.

11.Write 45,000 in standard form.

12.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

13.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.

14.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

15.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.