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.Write down the exact decimal value of the fraction 1/6.
(a)0.1666...
(b)0.16
(c)0.17
(d)0.6
2.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.
(a)54
(b)126
(c)150
(d)30
3.Work out the value of (√5)⁴
(a)25
(b)625
(c)20
(d)5
4.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
(a)8 × 10³
(b)1.28 × 10¹⁷
(c)8 × 10⁴
(d)8 × 10¹⁵
5.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
(a)£27.00
(b)£15.00
(c)£9.00
(d)£33.00
6.Round 0.006482 to 2 significant figures.
(a)0.01
(b)0.00648
(c)0.0065
(d)0.006
7.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
(a)£48
(b)£72
(c)£75
(d)£12
8.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.
(a)2, 3, 4, 5
(b)3, 4, 5
(c)1, 2, 3, 4, 5
(d)2, 3, 4, 5, 6
9.Which of these decimals lies between 1/4 and 2/5?
(a)0.45
(b)0.2
(c)0.5
(d)0.3
10.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.
(a)20
(b)19
(c)17
(d)200
11.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
12.Write down the symbol that makes this statement true: −2/3 ___ −5/6
(a)<
(b)≤
(c)>
(d)=
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.
(a)6
(b)62
(c)600
(d)60
14.Estimate the value of √45, giving your answer to the nearest whole number.
(a)2,025
(b)7
(c)6
(d)22.5
15.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
(a)12.25 ≤ t < 12.35
(b)12.3 < t ≤ 12.4
(c)12.3 ≤ t < 12.4
(d)12.3 ≤ t ≤ 12.4

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