peperiksaan percubaan spm tahun 2012 … · peperiksaan percubaan spm tahun 2012 marking scheme for...
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PEPERIKSAAN PERCUBAAN SPM TAHUN 2012 MARKING SCHEME FOR ADDITIONAL MATHEMATICS FORM 5 PAPER 1
NO. MARKING SCHEME MARKS FULL MARKS 1 a) p, q
b) 2 c) many to many
1 1 1
3
2 -11
f (-6) = 2 (-6) + 1 @ fg (-2) = 112-2-6-+
+
）（
g(-2) = -6 @ fg (x) = 113-2 +⎥⎦
⎤⎢⎣
⎡+xx
3
B2
B1
3
3 )3(2
5+x
, 3−≠x
5 = )3( +x 2y or y = 62
5+x
2
B1
2
4 k = - 5
0)1)(1(4)4( 2 =−−− k
142 +=+ xkx
3
B2
B1
3
5 213- ≤≤ x
( )( ) 0312 ≤+− xx
3
B2
B1
3
6 andx31
= 5−=x
5))(143( =+ xx
1))(143(log5 =+ xx
3
B2
B1
3
-3 21
7 31-
=x
81x-5=
+x
31x-5log2 =⎥⎦
⎤⎢⎣
⎡+x
Change base: 2log2x)-5(log2
2
2
4
B3
B2
B1
4
8 a) p=2
b) 9 c) 1a −=
1 1 1
3
9 a) -8
P – 2 - ( - 6 ) = -14 - ( p – 2 ) @ 2-p214-6-
=+ ）（
b) – 126
[ ])4(6)6(227
7 −+−=S
d = -10 – ( - 6 ) = -4
2
B1
2
B2
B1
4
10 128
( )
⎟⎠
⎞⎜⎝
⎛−=∞
211
64S
21
=r
3
B2
B1
3
11 h =5 and h=15 h =5 or h=15
4033235816h516-21- =+−−+++ h
3
B2
B1
3
12 r =1 1
21t =
5)(1)4(43 rr +−
=− or 5
)8(1)(42 +=
t
1
B1
3
13 b~~6a4 −
PRQPQR +=
2
B1
2
14 290
13 11i j− +% %
3 ( ji 73 +− ) - 2( ji 52 + )
3
B2
B1
3
15
3+=xxy
31 += xyx
m = 12
12
xxyy
−
− = 133
0336
==−
− or c = 3
3
B2
B1
3
16 a)
tt 21−
Cot θ = θnta1
b) 21 t−
2
B1 1
3
17 a) 3
b) 60 ,131.81 ,228.19 ,300ο ο ο ο
( 2 cos3 +θ )( 1 cos2 −θ ) = 0 3 ( 1 cos2 2 −θ ) + cosθ + 1 = 0
1 3
B2
B1
4
18 a) rad 2 =θ
b) 32cm r =4 or 8)2(4AB ==S
2r = ( 8 – r ) 2
1 3
B2
B1
4
19 k = 17 h = - 8 4 x + h = 0
hxdxdy
+= 4
4
B3
B2
B1
4
20 5−
= ⎥⎦
⎤⎢⎣
⎡− 11 ）3-4（10-
）3-5（10-
= 5
4
1
）1（1)3x（10⎥⎦
⎤⎢⎣
⎡
−
− −
3
B2
B1
3
21 a) 36.6 (16.8 X 2) + 3
b) 5
2
B1 1
3
22
a) 88P = 40320
b) 4320
= 66P X 2
3P 2
3P
1 3
B2
B1
4
23 BJ 'L
=154)
32)(
53)(
32( =
1
=4519
=454
453
4512
++
= )52)(
31)(
32()
31)(
53)(
31()
32)(
53)(
32( ++
BJ 'L + LJ 'B + BL 'J
3
B2
B1
4
24 n = 820
pqn2 =σ
196.8 = n (0.4)(0.6) P=0.4 or q=0.6
3
B2
B1
3
25 0.2580 =0.5 – 0.1612 -0.0808 0.0808
3
B2
B1
3
( )f z
z0 1.4 m
0.1612
0.0808
0.5 – 0.1612 -0.0808