Number worksheet — GCSE Higher

1.Given that 2⁵ = 32, work out 2⁶.

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

3.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

4.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

5.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

6.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

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

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

9.3/5 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.

10.Work out 35% of 180.

11.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

12.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

13.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.

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

15.Work out 10% of 30% of £200.