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 · 15 questions

MathsUKwww.geekhero.co.uk

1.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.
(a)40
(b)11
(c)10
(d)20
2.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
(a)288 km
(b)4.5 km
(c)12 km
(d)24 km
3.A cake recipe needs 3/4 of a kilogram of sugar. Aisha wants to make half the recipe. Work out how much sugar she needs, giving your answer as a fraction of a kilogram in its simplest form.
(a)5/4
(b)3/4
(c)3/2
(d)3/8
4.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
(a)1.2 × 10⁶
(b)3 × 10⁷
(c)3 × 10⁶
(d)1.03 × 10⁴
5.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
(a)4 × 10⁸
(b)4 × 10¹²
(c)4 × 10⁴
(d)6 × 10⁴
6.Work out the exact value of √(2² + 3²)
(a)13
(b)√5
(c)5
(d)√13
7.Round 0.006852 to 2 significant figures.
(a)0.0069
(b)0.0068
(c)0.007
(d)0.00685
8.Work out the value of √49 + ∛27
(a)10
(b)34
(c)16
(d)21
9.Work out 3³ + 2⁴.
(a)35
(b)25
(c)43
(d)432
10.A driving instructor is working out how many current-style UK number plates are possible. The format is 2 letters, then 2 digits, then a space, then 3 letters (for example AB12 CDE). The letters I, O and Q are never used in any letter position, leaving 23 allowed letters, but every letter and every digit may repeat anywhere on the plate. Work out how many different number plates are possible, giving your answer in standard form to 2 significant figures.
(a)1.4 × 10²
(b)6.4 × 10⁸
(c)5.3 × 10⁷
(d)1.2 × 10⁹
11.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.
(a)62 ≤ r < 63
(b)62.35 ≤ r ≤ 62.45
(c)62.35 ≤ r < 62.45
(d)62.3 ≤ r < 62.5
12.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
13.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
14.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.
(a)200 m
(b)1050 m
(c)150 m
(d)50 m
15.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
(a)3/13
(b)4/39
(c)1/3
(d)9/13

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