Spm Trial 2010 Addmath Qa Perlis
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ADD MATHEMATICS PAPER 1,2010Mark Scheme
No Answers Sub-marks
Total mark
1
a) 5 b) 3
1 1
22 -2
B1: 3
5)( = xxf
3
33 a) 3kx +8
a) 125
B1: 3k = 45
1
2
3
4 2.766 and 1.266B2:
)2(2)7)(2(4)3()3( 2
B1: 0732 2 = xx
3
35 a) 5)4( 2 x
b) 11B1: 5)40( 2
12
36
531 x
B2:
B1: (3x + 4)(x 5) < 0
Or roots 31 and 5
3
3
7 3 B2: 3x +1 = 2(x 1)B1:
21
)5(5 )1(413 + xx or
3
3
8 nm 22
5
B3:
2log2log2log5 qp
B2: change base and 1 law of logB1: use 1 law of log
4
4
9 27
B2: 23
9=x
3
B1: 32
x seen 3
No Answers Sub-mark
Total mark
10a)
32
B1: 7298
181 5 == arorar
b) 25.041 or
B1: 121=a
2
2
4
11 a) 15b) 217
B2: [ ])4)(17()19(227 +
or
[ ] [ ])4(5)5(226)4(12)5(2
213 ++
B1: 197 =T or
[ ])4(12)5(22
13 +
or [ ])4(5)5(226 +
13
4
12 xxy 42 2 =
B2: 42 = xxy
B1: m = 2
3
313
23 or 1.5
B2: 156
45 =p
B1: p45 or
56 seen
3
314
a) ji 34 + or
34
B1: OBAOAB +=b) 5
2
13
153
10
B3: 10k = 3mB2: 2=m and 35 =k
4
31 5
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B1: RSPQ = seen4
16a)
k1
b) 21 kB1: xx sinsincoscos
1
23
No Answers Sub-mark
Total mark
17 a) 0.3948
B1: 1312cos =POR
b) 11.13B1: 3948.013
2
24
18 2532 3 = xxy
B2:
c+= )3(5)3(321 3
B1: xx 532 3
3
3
19 24x 16B1: 6 or 2 seen
22
2031
B2: 12x 4 = 0B1: 12x 4
3
3
21 4B2: 4k 2k = 8B1: 5 seen
3
3
22 8B2:
0)87(2 2 = kk or87(2 2 kk
B!: 22
37
329
++ kk
3
3
23 a) 73
B1: 72
31 or seen
2
b) 212
B1: 72
31
2
4
24 a) 3B1: p = 0.05
b) 2.85B1: 95.005.060
2
2
4
25 a) 65.15
B1: 95.03
68 =
b) 0.7B1: 0.242
2
2
4
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