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.Write 12 as a product of its prime factors.
- 2.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
- 3.Expand and simplify √3(2 + √12).
- 4.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.
- 5.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 6.Work out ∛(−27) + ∛8
- 7.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 8.Work out √144 − 2 × 3 + √25
- 9.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.
- 10.Simplify ⁴√(16a⁸b¹²)
- 11.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.
- 12.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
- 13.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 14.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
- 15.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
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