Number worksheet — GCSE Foundation

1.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

2.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

3.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.

4.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

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

6.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

7.Work out (5 + 2) × 3²

8.Work out 1/2 of 1/4 of 80.

9.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

10.Find the missing number: ▢ ÷ 15 = 24

11.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

12.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

13.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

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

15.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.