Number worksheet — GCSE Foundation

1.Work out the lowest common multiple of 4 and 6.

2.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

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

4.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.

5.Work out √144

6.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

7.Write 0.0038 in standard form.

8.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

9.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

10.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

11.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

12.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

13.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

14.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

15.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.