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
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- 1.Which one of these statements is true?
- 2.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
- 3.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 4.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.
- 5.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
- 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.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 8.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 9.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 10.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
- 11.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.
- 12.Work out the value of .
- 13.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 14.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 15.Work out the value of 6² − 4³.
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