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.

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Number worksheet — GCSE Higher

Maths · GCSE Higher · Number · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.Expand and simplify √3(2 + √12).
(a)6 + √6
(b)√15 + 2√3
(c)2√3
(d)6 + 2√3
2.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.
(a)7.5 m
(b)2.1 m
(c)3.0 m
(d)2.7 m
3.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.
(a)1725 ml
(b)50 ml
(c)2550 ml
(d)1050 ml
4.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.
(a)720
(b)800,000,000
(c)8,000,000,000
(d)0.000000008
5.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.
(a)36
(b)18
(c)54
(d)27
6.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
7.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
(a)17/16
(b)2/21
(c)2/3
(d)27/98
8.Work out √25 + 4² − 12 ÷ 3
(a)9
(b)17
(c)3
(d)37
9.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.
(a)12
(b)240
(c)16
(d)15
10.4ˣ = 64. Work out the value of x.
(a)16
(b)3
(c)4
(d)6
11.Which of these statements about −0.7 and −0.25 is true?
(a)−0.7 = −0.25
(b)−0.7 < −0.25
(c)−0.7 ≥ −0.25
(d)−0.7 > −0.25
12.Work out (−36) ÷ (−6) × 2
(a)3
(b)6
(c)12
(d)−12
13.Estimate the value of √45, giving your answer to the nearest whole number.
(a)2,025
(b)7
(c)6
(d)22.5
14.Work out 3 + 4 × (−2).
(a)−8
(b)−5
(c)−14
(d)11
15.Work out ⁴√81
(a)3
(b)20.25
(c)4.5
(d)9

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