Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Number worksheet — GCSE Higher
MathsUKwww.geekhero.co.uk
- 1.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 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 tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.
- 4.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
- 5.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.
- 6.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 7.Work out (−6) + (−4) × 3
- 8.Work out ⁴√16
- 9.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.
- 10.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 11.Work out 6² − 4².
- 12.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%
- 13.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 14.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 15.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
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