Number worksheet — GCSE Foundation

1.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

2.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

3.A country has an area of 25,000,000 hectares. Write this area in standard form.

4.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

5.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

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.Write the fraction 9/25 as a decimal.

8.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

9.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

10.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

11.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

12.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.

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

14.Work out 2⁵.

15.2/3 of an amount of money is £30. Work out the amount.