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.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 2.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.
- 3.Which of these statements about −0.7 and −0.25 is true?
- 4.Work out the value of 6² − 4³.
- 5.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 6.Work out √3 × √12, giving your answer as an integer.
- 7.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 8.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.
- 9.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 10.Work out 6² − 4².
- 11.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.
- 12.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
- 13.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.
- 14.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.
- 15.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
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