Number worksheet — GCSE Foundation

1.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

2.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

3.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

4.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

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.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

7.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

8.Work out 10% of 30% of £200.

9.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

10.Write 0.06 as a fraction in its simplest form.

11.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

12.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

13.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

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

15.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.