Number worksheet — GCSE Foundation

1.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

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

4.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

5.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

6.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

7.Write down the symbol that makes this statement true: 3/10 ___ 0.3

8.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

9.Write 0.25 as a fraction in its simplest form.

10.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

11.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

12.Work out −6 × (−3).

13.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

14.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

15.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.