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.
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Number worksheet — GCSE Higher
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- 1.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 2.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?
- 3.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.
- 4.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
- 5.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 6.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 7.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.
- 8.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 9.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.
- 10.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 11.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 12.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.
- 13.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 14.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 15.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
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