math p2 pahang spm 2008(ans)
TRANSCRIPT
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
1/13
SULIT 1449/2
1449/2MatematikKertas 2Mei 20082 jam
SEKOLAH-SEKOLAH MENENGAH NEGERI PAHANG
PEPERIKSAAN PERCUBAAN SPM 2008
MATEMATIK
Kertas 2
PERATURAN PERMARKAHAN
UNTUK KEGUNAAN PEMERIKSA SAHAJA
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
2/13
Question Solution and Mark Scheme Marks
1(a)
(b)
K1
K2
3
2
37722
34
21
1155 =
h27
7
22
3
1+
37
7
22
3
4
2
1
154h = 1309
h = 8.5 cm
K1
K1
K1
N1
4
3. Kenalpasti sudut BFC or CFB
Tan BFC =
8
9
BFC = 41.630 or 410 38
P1
K1K1N1
4
4(a)
(b)
(c)
True
If 3x = 1 then x = 0
If x = 0 then 3x = 1
2(3)n + n ; n = 1, 2,3,
P1
K1
K1
K1K1
5
5. 9v + 6w = 42 atau setara
10v = 40 atau setarav = 4
w = 1
K1
K1N1
N1
4
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
3/13
6 4p2 -4p-15 =0
(2p+3)(2p-5) =0
p =2
3atau p =
2
5
K1
K1
N1N1
4
7 (a)
(b)
mkl
= -3
4
LM; x=2
-4 = -3
4(6) + catau setara
MN; y = 43
4+
x atau 3y = -4x + 12
y-intercept is 12
P1
N1
K1
KI
N1
5
8 (a)
(b)
k = 4
v = 6
y
x=
)36()27(
1
73
62
1
5
x= -1y = -2
P1
P1
K2
NIN1
6
9 (a)
(b)
77
222360
120atau
147
222360
105
7 + 7 + 14 +3
44+
3
77
683
1cm.
27
7
22
360
120or
27
7
22
360
60or
214
7
22
360
105
+
3
225
3
2179
3
151
22
3
616
3
1205 cmataucm
K1
K1
NI
K1
K1
N1
6
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
4/13
10(a)
(b)(i)
(ii)
25
16
+
24
9
25
10
24
14
25
15
2
1
24
15
25
16
5
2
K1
K1
N1
K1
N1
5
11(a)
(b)
(c)
6s
08
126
-0.75
156m =
+ 6)6(
2
1u + 6u
u = 10
P1
K1
N1
K1
N1
6
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
5/13
Question Solution and Mark Scheme Marks
12(a)
(b)
(c)(i)
(ii)
(d)
3
-2
Graph
Axes drawn in correct direction, uniform scale for
15 x and 72 y
7 point and *2 points correctly plotted or curve passes through
these points for 15 x .
smooth and continuous curve without any straight line and
passes through all 9 correct points using the given scale for35 x .
Note:
7 or 8 points correctly plotted, award K1
80.465.4 y
4.02.0 x
65.385.3 x
Identify equation y = - x
Straight line y = - x correctly drawn
Values ofx :
7.385.3 x
9.07.0 x
Note:
Values of y and x obtained by computations, award P0N0
K1
K1
P1
K2
N1
P1
P1
P1
K1
K1
N1
2
4
3
3
12
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
6/13
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
7/13
Question Solution and Mark Scheme Marks
13(a)
Correct shape with rectangles KLPS and PQRS .
All solid lines.
KL >DL >LI
Measurements correct to 0.2 cm (one way) and
All angles at vertices of rectangles = 90o 1
o
K1
K1
N13
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
8/13
Question Solution and Mark Scheme Marks
(b)
Correct shape with rectangle MJHI and trapeziumABMH.
All solid lines.
JB >JI =MH >BM >MJ = HI
Measurements correct to 0.2 cm (one way) and
All angles at vertices of rectangles = 90o 1
o
K1
K2
N2 5
Question Solution and Mark Scheme Marks
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
9/13
(c)
Correct shape with rectangles HGIL andMHJIand square
ADHG.
All solid lines.
JL >DL =AI>DG = HG > GL =HI=MJ
Measurements correct to 0.2 cm (one way) and
All angles at vertices of rectangles = 90o 1o
K1
K1
K1
N2 5
12
Question Solution and Mark Scheme Marks
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
10/13
14(a)
(b)
(c)
(d)
120oE
Note: 120o or E, award P1
40 x 60 x cos 450
1697.06
Notes: cos 45 used correctly, award K1
60
4500or 750
75 - 45
300S
10800
750 =T
10800
14.4
P2
K2
N1
K1
K1
N1
K1
K2
N1
2
3
3
4
12
Question Solution and Mark Scheme Marks
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
11/13
15(a)(i)
(ii)
(iii)
(iv)
(v)
(ii)
( 8, -1)
Note: point (8 , -1) marked on the diagram award P1
(5 , 5)
Note: point (5 , 5) marked on diagram, award P1
( 9, 5 )
Rotation 180o , centre (3,3)
Note:
1. P2: Rotation 180o, Rotation 180
o, centre G
2. P1: Rotation 180o
Enlargement centreN(6,1) with scale factor 3
Note:
1. P2: Enlargement centreN or Enlargement scale factor 22. P1: Enlargement
22
160
40
P1
P2
P2
P3
P3
K1
N1
5
8
12
Question Solution and Mark Scheme Marks
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
12/13
16(a)
(b)
(c)
(d)
Class interval : (III to VI)
Frequency : (I to VI)
Midpoint : (I to VI)
Note: Allow one mistake in frequency for P1.
578965
)5(57)7(52)8(47)9(42)6(37)5(32
+++++
+++++
44.63
Notes: Allow two mistakes for K1.
Axes drawn in correct direction, uniform scale for
5.595.29 x and 90 y
Using lower boundry or upper boundry or midpoint or
class interval forx-axis.
* 6 bar correctly drawn
Note: * 5 bar correctly drawn, award N1
example: Most of the telephone bill is between 40 to 44
Mass(kg) Frequency Midpoint
30 - 34 5 32
35 - 39 6 37
40 - 44 9 42
45 - 49 8 47
50 - 54 7 52
55 - 59 5 57
P1
P2
P1
K2
N1
P1
K1
N2
K1
4
3
4
1
12
I
II
III
IV
V
VI
-
8/14/2019 Math p2 Pahang Spm 2008(Ans)
13/13
Graph for Question 16
Graf untuk Soalan 16
END OF MARK SCHEME
1
29.5 34.5 39.5 44.5 49.5 54.5 59.5
2
3
4
5
6
7
8
9