Number worksheet — GCSE Higher

1.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

2.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

3.Work out the value of 2⁻²

4.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.

5.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.

6.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

7.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

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

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

10.Work out 3.7 × 24.

11.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

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

13.Write 12 as a product of its prime factors.

14.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

15.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.