Number worksheet — GCSE Foundation

1.Simplify x⁶ ÷ x²

2.Work out −7 − (−3).

3.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

4.Work out the value of 5³.

5.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

6.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

7.Work out the value of √64.

8.Write down the reciprocal of 0.2

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

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

11.Work out the lowest common multiple of 9 and 15.

12.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

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

14.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

15.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.