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 length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
(a)to the nearest centimetre
(b)to 1 decimal place
(c)to the nearest 0.5 cm
(d)to the nearest 10 cm
2.Work out the value of (1/3)⁻²
(a)6
(b)9
(c)1/9
(d)−9
3.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.
(a)0.02 cm
(b)0.023 cm
(c)0.0238 cm
(d)0.024 cm
4.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
(a)£4.55
(b)£4.50
(c)£4.65
(d)£4.80
5.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
6.Find the missing number: ▢ ÷ 15 = 24
(a)360
(b)39
(c)9
(d)1.6
7.Work out (−6) + (−4) × 3
(a)−30
(b)−18
(c)18
(d)6
8.Work out (−3) × 4 + 2 × (−5)
(a)−22
(b)50
(c)−2
(d)22
9.Work out 5⁰ + 5¹ + 5²
(a)125
(b)30
(c)31
(d)35
10.Work out the value of $2^{3} + 3^{2}$ .
(a)17
(b)72
(c)12
(d)−1
11.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
(a)55
(b)54
(c)59
(d)54.7
12.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
(a)18
(b)4
(c)24
(d)36
13.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72
(a)3/4, 0.72, 0.7
(b)3/4, 0.7, 0.72
(c)0.7, 0.72, 3/4
(d)0.72, 3/4, 0.7
14.Simplify √45.
(a)9√5
(b)6√5
(c)15
(d)3√5
15.Work out ∛64.
(a)21.3
(b)4
(c)192
(d)8

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