Number worksheet — GCSE Foundation

1.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

2.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

3.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

4.Work out how many factors 100 has.

5.4ˣ = 64. Work out the value of x.

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

7.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.

8.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

9.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

10.Write the fraction 3/4 as a decimal.

11.Work out (−2)³ + (−3)² − (−4)

12.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

14.Work out √144 − 2 × 3 + √25

15.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.