Edexcel GCSE
Maths
209732 Edexcel Higher Teacher Pack title page.indd 1 3/27/15 2:38 PM
Higher Student Book Answers
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Answers
Chapter 1 Number: Basic number
Exercise 1A
1 a 6000 b 5 cans cost 1.95, so 6 cans cost 1.95.
32 = 5 6 + 2. Cost is 10.53.
2 a 288 b 16
3 a 38 b Coach price for adults = 8, coach price for
juniors = 4, money for coaches raised by tickets = 12 400, cost of coaches = 12 160, profit = 240
4 (18.81...) Kirsty can buy 18 models.
5 8.40 per year, 70p per copy
6 450
7 15
8 3 weeks
9 248.75
10 Gavin pays 2926.25 1840 = 1086.25
11 a Col is correct b Abi has multiplied 30 50 as 150 instead of
1500. Baz has lined up the columns wrongly when adding. Instead of lining up the units he has lined up the first digits. Des has forgotten to add a zero on the second line of the multiplication, it should be 1530.
Exercise 1B
1 a 4.6 b 0.08 c 45.716 d 94.85 e 602.1 f 671.76 g 7.1 h 6.904 i 13.78 j 0.1 k 4.002 l 60.0
2 a 0.028 b 0.09 c 50.96 d 46.512
3 a 35, 35.04, 0.04 b 16, 18.24, 2.24 c 60, 59.67, 0.33 d 140, 140.58, 0.58
4 a 18 b 140 c 1.4 d 12 e 6.9
5 a 280 b 12 c 240 d 450 e 0.62
6 a 572 b i 5.72 ii 1.43 iii 22.88
7 a Incorrect as should end in the digit 2 b Incorrect since 9 5 = 45, so answer must be
less than 45
8 300
9 a 27 b i 27 ii 0.027 iii 0.27
10 Mark bought a DVD, some jeans and a pen.
11 Headline A does not give the exact figure so does
not convey any useful information. Headline B is accurate and records should be given accurately. Headline C may be correct but without the previous record does not convey any useful information.
Exercise 1C
1 a 50 000 b 90 000 c 30 000 d 200 e 0.5 f 0.006 g 0.3 h 10 i 0.05 j 1000
2 a 56 000 b 80 000 c 31 000 d 1.7 e 0.066 f 0.46 g 4.1 h 8.0 i 1.0 j 0.80
3 a 60 000 b 5300 c 89.7 d 110 e 9 f 1.1 g 0.3 h 0.7
4 a 65, 74 b 95, 149 c 950, 1499
5 Elsecar 750, 849; Hoyland 1150, 1249; Barnsley
164 500, 165 499
6 18 to 23 inclusive
7 1, because there could be 450 then 449
8 Donte has rounded to 2 significant figures or
nearest 10 000
9 a Advantage quick. Disadvantage assumes
3 penguins a square metre which may not be accurate
b Advantage. Quite accurate as 5 by 5 is a big
enough area to give a reliable estimate. Disadvantage takes a long time.
Exercise 1D
1 a 60 000 b 120 000 c 10 000 d 15 e 140 f 100 g 200 h 0.08 i 0.09 j 45
2 a 5 b 25 c 3000 d 600 e 2000 f 5000 g 400 h 8000 i 4 000 000
3 30 90 000 = 2 700 000
600 8000 = 4 800 000 5000 4000 = 20 000 000 200 000 700 = 140 000 000
4 a 54 400 b 16 000
5 1400 million
6 His answer is correct but he had one too many
zeros on each value, which cancel each other
out. Matt wrote 600,000 rather than 60,000 and
2000 rather than 200. The two mistakes
cancelled themselves out due to the zeros
involved.
7 a Value of the money is about 66 000 000 0.2
= 13 200 000, so it is enough to buy the yacht.
b Weight is 66 000 000 5 = 330 000 000
grams = 330 tonnes, so they do not weigh as much as the yacht.
8 1420 000 000 000 64 000 000 22 200, so the
National Debt per person is approximately
22 200.
720
Exercise 1E
1 a 35 000 b 15 000 c 960 d 5 e 1200 f 500
2 a 39 700 b 17 000 c 933 d 4.44 e 1130 f 550
3 a 1.74 m b 6 minutes c 240 g d 83C e 35 000 people f 15.5 miles g 14 m2
4 a 10 b 1 c 3
5 a 8.79 b 1.03 c 3.07
6 82F, 5 km, 110 min, 43 000 people, 6.2
seconds, 67th, 1788, 15 practice walks, 5
seconds
The answers will depend on the approximations made. Your answers should be to the same order as these.
7 a 15 000 b 18 000 c 17 500
8 $1000
9 a 40 miles per hour b 10 gallons c 70
10 a 80 000 b 2000 c 1000 d 30 000 e 5000 f 2500 g 75 h 100
11 a 86 900 b 1760 c 1030 d 29 100 e 3960 f 2440 g 84.8 h 163
12 Approximately 500
13 1 million pounds is 20 million 5p coins. 20 000
000 4.2 = 84 000 000 grams = 84 tonnes, so 5
lorries needed.
14 22.5 C 18.2 C = 4.3 Celsius degrees
15 a i 27.571 428 57 ii 27.6 b i 16.896 516 39 ii 16.9 c i 18 672.586 16 ii 18 700
16 a 37.5 48.6 40 50 = 2000 21.7 103.6 20
100 = 2000 985 0.54 1000 0.5 = 2000
b as both values are rounded down the actual
answer must be bigger than 2000. The other two must be less than 2000.
c Pete is correct it is not possible to tell. 37.5
48.6 = 1822.5 985 0.54 = 1824.074
17 149 000 000 300 000 = 496.67 500 seconds
18 a 58.9 4.8 60 5 = 300 b Lower as both values are rounded up to get
the estimate.
19 Macaus population density is approximately 710
000 times the population density of Greenland.
20 26.8 3.1 27 3 = 9 36.2 3.9 36
4 = 9. Second calculation must be biggest as first
is smaller than 27 3 and second is bigger than
36 4.
Exercise 1F
1 a 12 b 9 c 6 d 13 e 15 f 14 g 16 h 10 i 18 j 17 k 8 or 16 l 21
2 4 packs of sausages and 5 packs of buns (or
multiples of these)
3 30 seconds
4 12 minutes; Debbie will have run 4 laps; Fred will
have run 3 laps.
5 1 + 3 + 5 + 7 + 9 = 25, 1 + 3 + 5 + 7 + 9 + 11 =
36, 1 + 3 + 5 + 7 + 9 + 11 + 13 = 49, 1 + 3 + 5 + 7
+ 9 + 11 + 13 + 15 = 64
6 a 2 b 7 c 12 d 1 e 30
7 a 1 b 3 c 4 d 2 e 4
8 a 400 b 900 c 2500 d 0.25 e 16
9 a Students own explanation b 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,
105 c Adding consecutive pairs gives you square
numbers.
10
Square number Factor of 56
Cube number 64 8
Multiple of 7 49 28
11 2, 3 and 12
12 a 1, 64, 729, 4096, 15 625 b 1, 8, 27, 64, 125
c 3 a a a
d Square numbers
13 a 0.2 b 0.5 c 0.6 d 0.9 e 1.5 f 2.1 g 0.8 h 0.7
14 The answers will depend on the approximations
made. Your answers should be to the same order
as these.
a 60 b 1500 c 150
Exercise 1G
1 a 84 = 2 2 3 7 b 100 = 2 2 5 5 c 180 = 2 2 3 3 5 d 220 = 2 2 5 11 e 280 = 2 2 2 5 7 f 128 = 2 2 2 2 2 2 2 g 50 = 2 5 5
2 a 84 = 22 3 7 b 100 = 22 52 c 180 = 22 32 5 d 220 = 22 5 11 e 280 = 23 5 7 f 128 = 27 g 50 = 2 52
3 1, 2, 3, 22, 5, 2 3, 7, 23, 32, 2 5, 11, 22 3, 13,
2 7, 3 5, 24, 17, 2 32, 19, 22 5, 3 7, 2
11, 23, 23 3, 52, 2 13, 33, 22 7, 29, 2 3 5,
31, 25, 3 11, 2 17, 5 7, 22 32, 37, 2 19,
3 13, 23 5, 41, 2 3 7, 43, 22 11, 32 5,
2 23, 47, 24 3, 72, 2 52
4 a 2 is always the only prime factor b 64, 128 c 81, 243, 729 d 256, 1024, 4096 e 3, 32, 33, 34, 35, 36; 4, 42, 43, 44, 45, 46
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5 a 2 2 3 5 b 22 3 5 c 120 = 23 3 5, 240 = 24 3 5,
480 = 25 3 5
6 a 72 112 132 b 73 113 133 c 710 1110 1310
7 Because 3 is not a factor of 40 so it does not
divide exactly.
8 a = 2, b = 7
9 a 2ab a2 4b b 8a3b 4a3b2
Exercise 1H
1 a 20 b 56 c 6 d 28 e 10 f 15 g 24 h 30
2 They are the two numbers multiplied together.
3 a 8 b 18 c 12 d 30
4 No. The numbers have a common factor.
Multiplying them together would mean using this
factor twice, thus increasing the size of the
common multiple. It would not be the least
common multiple.
5 a 16
