Number worksheet — GCSE Higher

1.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

2.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

3.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

4.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

5.After a price increase of 10%, a laptop costs £330. Work out the original price.

6.A rectangular garden has a length of 12.4 m and a width of 7.5 m, each measured correct to 1 decimal place. Calculate the upper bound for the area of the garden.

7.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

8.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

9.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

10.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

11.Work out 10% of 30% of £200.

12.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

13.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

14.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

15.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.