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.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
- 2.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2
- 3.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 4.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.
- 5.Find the missing number: 17 × ▢ = 391
- 6.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 7.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.
- 8.Work out the value of .
- 9.Write 5/6 as a decimal, showing clearly which digit recurs.
- 10.Work out (2/3)² + (1/2)². Give your answer as a fraction.
- 11.Simplify ⁴√(16a⁸b¹²)
- 12.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.
- 13.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
- 14.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 15.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
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