Number worksheet — GCSE Foundation

1.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

2.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

3.Which one of these statements is true?

4.Write 0.005 in standard form.

5.Work out ⁴√81

6.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

7.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.

8.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

9.A box holds 140 pens. 25% of the pens are red. Work out how many of the pens are red.

10.Work out ∛64.

11.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

12.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

13.Work out 0.6 × 0.04.

14.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

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