Add Maths Past Year Answer

2004 Paper 1
1(a) Range={x,y}
(b) Many-to-one relation
2 k=1/8 m=-5/2
3(a) g(x)=2/x, x≠0
(b) x=15
4 2x²+5x-3=0
5 -2≤x≤6
6(a) k=1th
(b) x=1
(c) maximum pt=(1,-2)
7 x=3
8 2p-m-1
9 p=8/y²
10 n=10, T8=21, T9=35, T10=29
11 T7=510
12 32/33
13 k=4
14 y=(2/3)x+3
15 5x²+5y²+50x-6y-118=0
16(a)(5 12)
(b)(1/13)(5 12)
17 p=-2
18 30, 150, 270
19 7.675
20 6x(6x-5)(2x-5)³
21 8/5 unit per sec
22 k=5
23(a)120
(b)48
24 k=9
25(a)1.25
(b)0.3944

2005 Paper 2
Section A
1 x=-0.5
2(a)p=3
(b)f(x)=x³-2x²+4
3(a)294cm
(b)RM 1019.20
4(a)24.07
(b)11.74
5(a)cos 2x
(b)(ii)4
6(a)(i)-20x+32y
(ii)25x
(c)104
Section B
7(b)(i)1.373
(ii)5.492
8(a)k=8
(b)37/3
(c)4π
9(a)(i)y=2x+17
(ii)B(-8,1)
(b)D(-14,-11)
(c)x²+y²+8x-18y+72=0
10(a)6cm
(b)4cm
(c)37.46
11(a)(i)0.2936
(ii)0.7969
(b)(i)0.9452
(ii)3.074
Section C
12(a)19.27
(b)50.73
(c)(i)24.89
(ii)290.1
13(a)0.50
(b)(i)129.4
(ii)RM 2306
(c)194.2
14(a)x+y≤10, y≤4x, x+5≤y
(c)(i)35≤y≤70
(ii)RM 5800
15(a)8
(b)18m
(c)4m

2006 Paper 2
1 x=1.443 y=-1.886 or x=-0.693 y=2.386
2a (x+2)/3
b (x+15)/5
c 10x-4
3a k=100
b n=11
4b 2
5a 5x+2y
bi 4x+my
ii m=8/5 λ=4/5
6a k=4
b mode=43
c mode score=48
7b k=1.483
8a k=5
b 20.83
c (32/5)π
9a 9
b (12/5, 2/5)
ci x²+y-18x+8y+45=0
10a 62.59
b 38.25
c 31.39
11a 0.2119
b 245
12ai V=5
ii 1< t<5
c 13
13a 60.07
b 5.573
c 116.55
d 35.43
14a 3x+y≤36, 3x+4y≥36, 3x≥y
ci 4
cii RM 720
15a 6
b y=10
c m=4

2007 Paper 2
1 x=3 y=3 or x=1 y=-1
2a (-3,-2)
b y=0.5x-0.5
3 number of sol=8
4a k=1
b turning pt(1,8) is a minimum pt
c y=x²+(2/x)+5
5b 18.33
6ai 415
ii 14000
7b k=0.26 p=0.754 y=4.2
8ai 2x-6y
ii 4x-3y
b h=2/5, k=4/5
c 24.08
9a 31.42
b 88.64
10a k=2
bi 8
ii (4/49)π
11ai 0.2090
ii 0.6846
bi 0.7357
ii 1250
12a 8
b -1
c 2< t<4
d 8
13a x=2.00
y=90
b 123.5
c RM 81.51
14a x+y≤500, y≥x/3, 5x+4y≥1400
ci 225
ii RM7125
15ai 13.36
ii 23.88
bii 13.80