Number worksheet — GCSE Foundation

1.Work out ∛64.

2.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

3.Work out √144 − 2 × 3 + √25

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

5.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.

6.Which of these numbers is a common factor of 18 and 24?

7.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

8.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

9.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

10.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

11.Work out the value of 2⁻²

12.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

13.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

14.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

15.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.