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.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 2.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 3.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 4.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.
- 5.Write 200 as a product of its prime factors, using index notation.
- 6.Work out √144 − 2 × 3 + √25
- 7.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.
- 8.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.
- 9.Round 0.006852 to 2 significant figures.
- 10.Given that 2⁵ = 32, work out 2⁶.
- 11.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 12.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 13.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.
- 14.Round 592.5 to the nearest 10.
- 15.Work out the value of .
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