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.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
- 2.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 3.Simplify (3a²)² × (2a)³
- 4.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.
- 5.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.
- 6.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.
- 7.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 8.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.
- 9.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 10.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
- 11.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 13.Work out the value of 2⁻²
- 14.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 15.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
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