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.Work out √(4 × 9)
- 2.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 3.Which one of these statements is true?
- 4.Work out 3 + 4 × (−2).
- 5.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.
- 6.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 7.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.
- 8.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.
- 9.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 10.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
- 11.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 12.Work out the value of (√5)⁴
- 13.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.
- 14.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.
- 15.Work out 100 − 4 × 5²
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