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 student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.
- 2.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.
- 3.Work out −4.5 + 2.8.
- 4.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
- 5.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.
- 6.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?
- 7.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 8.Work out 3³ + 2⁴.
- 9.Simplify x⁶ ÷ x²
- 10.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 11.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 12.Find the missing number: 17 × ▢ = 391
- 13.Work out (−36) ÷ (−6) × 2
- 14.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.
- 15.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
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