Number worksheet — GCSE Foundation

1.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

2.Which of these numbers lies between −4 and −1 on a number line?

3.Write 200 as a product of its prime factors, using index notation.

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

5.Work out the value of 2⁻²

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

7.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

8.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

9.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

10.Work out 5/6 × 2/9, giving your answer in its simplest form.

11.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

12.Work out the value of √49 + ∛27

13.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

14.Is 120 divisible by 5? Give a reason for your answer.

15.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.