Number worksheet — GCSE Foundation

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

2.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

3.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

4.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.

5.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

6.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

7.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

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

9.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.

10.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

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

12.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

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

14.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

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.