Number worksheet — GCSE Foundation

1.Which one of these statements about negative numbers is true?

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

3.Write 0.25 as a fraction in its simplest form.

4.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

5.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

6.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.

7.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

8.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

9.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

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

11.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

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

13.Work out ∛(−27) + ∛8

14.Work out the value of 2⁻²

15.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.