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 radius of a circular pond is given as 3.2 m, correct to 1 decimal place. Calculate the upper bound for the area of the pond, giving your answer correct to 3 significant figures.
- 2.Estimate the value of √45, giving your answer to the nearest whole number.
- 3.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 4.Work out √25 + 4² − 12 ÷ 3
- 5.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
- 6.Work out (−3) × 4 + 2 × (−5)
- 7.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?
- 8.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 9.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
- 10.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
- 11.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.
- 12.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
- 13.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 14.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.
- 15.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
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