Number worksheet — GCSE Foundation

1.Work out (−3) × 4 + 2 × (−5)

2.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.

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

4.Work out ∛(−27) + ∛8

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

6.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

7.Work out the highest common factor of 12 and 18.

8.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

9.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

10.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

11.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

12.Work out 0.6 × 0.04.

13.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

14.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

15.Work out (−6) + (−4) × 3