Number worksheet — GCSE Foundation

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

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

3.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

4.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.

5.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

6.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

7.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

8.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

9.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

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.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.

12.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

13.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

14.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

15.Work out the value of ∛8.