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.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.
- 2.Write 0.36 as a fraction in its simplest form.
- 3.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 4.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.
- 5.Work out ⁴√81
- 6.Work out ∛(−27) + ∛8
- 7.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 8.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.
- 9.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 10.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.
- 11.Work out −(−3)⁴ + (−3)³
- 12.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 13.Which one of these statements is true?
- 14.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
- 15.Write 200 as a product of its prime factors, using index notation.
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