Number worksheet — GCSE Foundation

1.Work out √(4 × 9)

2.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

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

4.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

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

6.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

7.Work out (−2)² − 3

8.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

9.Write 45,000 in standard form.

10.Write these numbers in order, starting with the smallest: 5, −8, 0, −3, 2

11.Work out the lowest common multiple of 4 and 6.

12.Which of these is equal to 5³?

13.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

14.A country has an area of 25,000,000 hectares. Write this area in standard form.

15.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.