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.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
(a)64π
(b)16π
(c)4π
(d)8π
2.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.
(a)0.625
(b)0.58
(c)0.85
(d)0.6
3.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
(a)2√3
(b)6
(c)2
(d)3√3
4.Work out (−2)³ + (−3)² − (−4)
(a)5
(b)−13
(c)−3
(d)21
5.Work out 36 ÷ (2 × 3)
(a)216
(b)54
(c)6
(d)18
6.Write 200 as a product of its prime factors, using index notation.
(a)2 × 5³
(b)2³ × 5
(c)2² × 5³
(d)2³ × 5²
7.Work out √(4 × 9)
(a)5
(b)18
(c)36
(d)6
8.Given that 2⁵ = 32, work out 2⁶.
(a)34
(b)37
(c)192
(d)64
9.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
(a)18
(b)30
(c)90
(d)14
10.Work out the value of (1/3)⁻²
(a)6
(b)9
(c)1/9
(d)−9
11.Work out 3 + 4 × (−2).
(a)−8
(b)−5
(c)−14
(d)11
12.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
(a)£7.20
(b)£10.05
(c)£0.45
(d)£1.45
13.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.
(a)£160
(b)£220
(c)£213.25
(d)£200
14.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006
15.Work out 6² − 4².
(a)2
(b)52
(c)20
(d)4

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