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 restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.
- 2.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.
- 3.Work out the value of 6² − 4³.
- 4.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.
- 5.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 6.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?
- 7.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
- 8.Work out the value of 2⁻²
- 9.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 10.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 11.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.
- 12.Work out 36 ÷ (2 × 3)
- 13.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 14.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 15.Work out the value of (√5)⁴
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