Number worksheet — GCSE Foundation

1.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

2.Work out 3³ + 2⁴.

3.Write 90 as a product of its prime factors.

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

5.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.

6.Write the mixed number 2 1/4 as an improper fraction.

7.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

8.Which of these decimals lies between 1/4 and 2/5?

9.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

10.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

11.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.

12.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.

13.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

14.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

15.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.