Number worksheet — GCSE Foundation

1.Write down the reciprocal of 0.2

3.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

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.Work out √144

6.Work out √144 − 2 × 3 + √25

7.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

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

9.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

10.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

11.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

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

13.Work out the highest common factor of 15 and 25.

14.Work out √225 ÷ 3.

15.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?