Number worksheet — GCSE Foundation

1.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

2.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

3.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

4.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

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

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

7.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

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

9.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

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

11.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

12.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

13.Work out (3 × 5)²

14.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

15.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.