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
MathsUKwww.geekhero.co.uk
- 1.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 2.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
- 3.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.
- 4.Work out 3 × (−2)² − 5
- 5.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.
- 6.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 7.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 8.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
- 9.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 10.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 11.Work out 6² − 4².
- 12.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.
- 13.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 14.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾
- 15.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?
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