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 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.
- 2.Work out 3 + 4 × (−2).
- 3.Simplify (y³)⁴, giving your answer as a single power of y.
- 4.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 5.Work out (−2)³ + (−3)² − (−4)
- 6.Work out (−3) × 4 + 2 × (−5)
- 7.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
- 8.Work out 5⁰ + 5¹ + 5²
- 9.Work out √25 + 4² − 12 ÷ 3
- 10.Simplify √45.
- 11.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
- 12.p = 24 and q = 6, each correct to the nearest integer. Work out the greatest degree of accuracy to which p ÷ q can be guaranteed correct.
- 13.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.
- 14.Work out √225 ÷ 3.
- 15.Expand and simplify (2 + √3)², giving your answer in the form a + b√3.
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