Cambridge Additional Mathematics

456 Answers

cd

ef

gh

ij

kl

EXERCISE 1G

1a 7 b 14 c 14 d 7 e 5 f 9

2ab+c b c+d c b

da+b+c e a+c+d f d

3a i 2 a+4 ii 4 a+4 iii 3 a¡ 5 iv 5 a¡ 1

bia=6 iia=^325

Since a 2 N, there cannot be 31 elements inU, but it is

possible to have 29 elements.

5a 15 b 4 6a 18 b 6 7a 7 b 23

EXERCISE 1H

1a

bi 9 ii 3 iii 3

2a

bi 4 ii 2

3 13 players 420 people

5a b i 16

ii 33

iii 14

iv 7

6a 29 b 6 c 1 d 11

7a 3 b 5 c 5 d 21

8a 3 b 4 c 9

REVIEW SET 1A

1aS=f 3 , 4 , 5 , 6 , 7 g b 5 c 31

2ayes byes c no dyes

3aX^0 =forange, yellow, green, blueg

b X^0 =f¡ 5 ,¡ 3 ,¡ 2 , 0 , 1 , 2 , 5 g

c X^0 =fx 2 Q:x>¡ 8 g

d X^0 =fx 2 (¡1,¡3)[[1,4]g

4afx 2 R:¡ 26 x< 3 g, neither

b fx 2 R:x< 3 g, open

5a b

6a b

c

7a ifs,p,r,i,n,g,b,o,k,w,a,t,e,u,cg

iifr,b,kg iii fg,i,n,o,p,sg

bifthe letters in ‘springbok’ or ‘waterbuck’g

iifthe letters common to both ‘springbok’ and

‘waterbuck’g

iii fthe letters in ‘springbok’ but not ‘waterbuck’g

c

U

M

N

U

M

N

U

M

N

AB

U

s

p

n g

i

o

r

b

k

w

t

u

a

e

c

d

f

h

j l m q v

x

y

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U

AB

C U

AB

C

U

AB

C U

AB

C

U

AB

C U

AB

C

LH Br

U

(3) (2) (6)

(3)

R Umb

U

(4) (5) (3)

(2)

U

BC

P

(1)

(3)

(2) (17)

(16) (5)

(5)

(14)

U

AB

C U

AB

C

U

AB

C U

AB

C

y

O x

y=2x

y

x

O

y=x

cyan magenta yellow black

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100 100
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100 100 IB HL OPT
Sets Relations Groups
Y:\HAESE\CAM4037\CamAdd_AN\456CamAdd_AN.cdr Tuesday, 8 April 2014 8:17:32 AM BRIAN