Number worksheet — GCSE Foundation

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

2.Work out the value of √64.

3.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

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

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

6.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

7.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

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

9.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

10.Work out ∛64.

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

12.Work out 5 + 3 × (9 − 6)

13.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.

14.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

15.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.