Number worksheet — GCSE Foundation

1.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

2.A three-digit code is made using the digits 1, 2 and 3, and each digit may be used more than once. Work out how many different three-digit codes can be made.

3.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

4.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

5.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

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

8.Write 0.36 as a fraction in its simplest form.

9.Round 24,681 to the nearest 1,000.

10.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

11.Work out the value of 6² − 4³.

12.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

13.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

14.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

15.Work out 3³ + 2⁴.