Number worksheet — GCSE Foundation

1.Write down the fraction, in its simplest form, that is equal to 0.6

2.Simplify x⁶ ÷ x²

3.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

4.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

5.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.

6.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

7.Work out √225 ÷ 3.

8.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.

9.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

10.Work out 36 ÷ (2 × 3)

11.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

12.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

13.Write down the reciprocal of 5/8

14.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

15.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.