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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Simplify ⁴√(16a⁸b¹²)
- 2.Write 5/6 as a decimal, showing clearly which digit recurs.
- 3.2/3 of an amount of money is £30. Work out the amount.
- 4.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.
- 5.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.
- 6.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.
- 7.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 8.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.
- 9.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?
- 10.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 11.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 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.Write down the exact decimal value of the fraction 1/6.
- 14.Work out the value of √(16 + 9)
- 15.Find the missing number: 17 × ▢ = 391
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