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
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- 1.√700 lies between which two consecutive integers?
- 2.Write 0.35 as a fraction in its lowest terms.
- 3.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.
- 4.Write 0.06 as a fraction in its simplest form.
- 5.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.
- 6.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
- 7.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 8.Work out 3 × (−2)² − 5
- 9.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.
- 10.Write 90 as a product of its prime factors.
- 11.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.
- 12.Work out √144 − 2 × 3 + √25
- 13.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.
- 14.4ˣ = 64. Work out the value of x.
- 15.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.
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