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 · Calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56
(a)0.5, 0.55, 0.56, 0.6, 0.601
(b)0.5, 0.56, 0.55, 0.6, 0.601
(c)0.5, 0.6, 0.55, 0.56, 0.601
(d)0.601, 0.6, 0.56, 0.55, 0.5
2.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.
(a)90
(b)20
(c)45
(d)55
3.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.
(a)£58.52
(b)£9.20
(c)£8.20
(d)£7.50
4.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.
(a)56
(b)336
(c)24
(d)168
5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
(a)7 × 10⁴
(b)12 × 10⁴
(c)1.2 × 10⁴
(d)1.2 × 10⁵
6.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.
(a)120
(b)216
(c)15
(d)20
7.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.
(a)31/50
(b)25/4
(c)5/8
(d)8/5
8.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
(a)0.55, 58%, 3/5
(b)58%, 0.55, 3/5
(c)3/5, 0.55, 58%
(d)3/5, 58%, 0.55
9.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
(a)8,350
(b)8,450
(c)8,390
(d)8,300
10.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.
(a)£283.33
(b)£36.13
(c)£48.88
(d)£50.00
11.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.
(a)7 × 10⁻⁴
(b)7 × 10⁻⁶
(c)7 × 10⁻⁸
(d)7 × 10⁻⁵
12.3/5 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
13.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.
(a)6 × 10² metres
(b)6 × 10¹⁴ metres
(c)6 × 10⁻⁴⁸ metres
(d)5 × 10² metres
14.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
(a)183.75 mph
(b)52.5 mph
(c)72.4 mph
(d)60 mph
15.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
(a)3.2 × 10⁴, 4.1 × 10³, 2.9 × 10⁵
(b)2.9 × 10⁵, 3.2 × 10⁴, 4.1 × 10³
(c)4.1 × 10³, 3.2 × 10⁴, 2.9 × 10⁵
(d)4.1 × 10³, 2.9 × 10⁵, 3.2 × 10⁴

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