Number worksheet — GCSE Foundation

1.Simplify (y³)⁴, giving your answer as a single power of y.

2.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

3.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

4.Round 0.006852 to 2 significant figures.

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

6.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

7.Write 0.45 as a fraction in its simplest form.

8.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

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.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

11.A tin of paint has a mass of 5.672 kg. Round this mass to 1 decimal place.

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

13.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

14.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

15.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.