Number worksheet — GCSE Foundation

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

2.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

3.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?

4.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

5.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.

6.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

7.Write the fraction 47/50 as a decimal.

8.Which of these numbers is the largest: −9, −7, −4, −2?

9.Write down the symbol that makes this statement true: 0.45 ___ 0.5

10.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

11.Write down the decimal that is equal to 3/5.

12.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

13.Work out √225 ÷ 3.

14.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.

15.Work out 6² − 4².