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
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- 1.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 2.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
- 3.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 4.Simplify x⁶ ÷ x²
- 5.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 6.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.
- 7.Work out ⁴√16
- 8.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 9.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.
- 10.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.
- 11.Write 0.325 as a fraction in its simplest form.
- 12.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 13.Simplify ⁴√(16a⁸b¹²)
- 14.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.
- 15.Round 592.5 to the nearest 10.
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