Number worksheet — GCSE Higher

1.Work out how many factors 36 has.

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

3.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

4.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.

5.Work out the value of 6² − 4³.

6.Simplify (x⁻²)³, giving your answer as a fraction.

7.Last year a company made a profit of £5,200,000. Write this amount in standard form.

8.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

9.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

10.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.

11.Work out √144 − 2 × 3 + √25

12.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

13.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

14.Simplify (y³)⁴, giving your answer as a single power of y.

15.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.