Number worksheet — GCSE Foundation

1.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

2.Estimate the value of √45, giving your answer to the nearest whole number.

3.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

4.Work out how many factors 100 has.

5.4ˣ = 64. Work out the value of x.

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

7.Work out (2/3)² + (1/2)². Give your answer as a fraction.

8.Write 0.325 as a fraction in its simplest form.

9.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

10.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.

11.Work out how many factors 36 has.

12.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.

13.Which of these is equal to 5³?

14.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

15.Write the fraction 3/4 as a decimal.