Number worksheet — GCSE Foundation

1.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

2.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

3.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

4.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

5.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

6.Work out the lowest common multiple of 4 and 6.

7.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

8.Simplify x⁷ × x⁴, giving your answer as a single power of x.

9.Write 12 as a product of its prime factors.

10.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.

11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

12.Which of these numbers is the largest: −9, −7, −4, −2?

13.Work out (2/3)² + (1/2)². Give your answer as a fraction.

14.Work out 3/8 of 96.

15.Work out (−6) + (−4) × 3