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SULIT 1449/2
1449/2
Matematik
Kertas2
Peraturan
PemarkahanOgos
2007
SEKTOR SEKOLAH BERASRAMA PENUH
BAHAGIAN SEKOLAH
KEMENTERIAN PELAJARAN MALAYSIA
PEPERIKSAAN PERCUBAAN
SIJIL PELAJARAN MALAYSIA 2007
MATEMATIK
Kertas 2
PERATURAN PEMARKAHAN
Peraturan pemarkahan ini mengandungi 12 halaman.
[Lihat sebelah
1449/2 SULIT
Jumlah Markah =1 2
100%140
Kertas Kertas
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Section A[ 52 marks ]
No Marking Scheme Marks
1 8x2 14x 3 = 0( 4x 1 ) ( 2x 3 ) = 0
x =1
4or x =
3
2
K1K1
N1 N1 4
2 5x + 2
5y = 25
2
11y = 33
y = 6
x = 2
P1
K1
N1N1 4
3
y = 1
2 =x - 4
y = 2x + 1
O
y
Draw the straight line y = 1
Region shaded correctly
Notes :
1. Region that satisfies any two inequalities : P1
2. Deduct 1 mark from K1P2 if the straight line y = 1 drawn insolid line
K1
P2 3
2
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No Marking Scheme Marks
4 Identify JSM orMSJ or angle marked on the diagram correctly
tan JSM=12
8orequivalent
563o or 56o 19
P1
K2
N1 4
5 (a)
(b)
y = 3
Gradient ofJK=1
2or the gradient being used
1
2 32
c or
2 1
3 2
y
x
1 1
2 2y x or equivalent
yintercept =1
2
P1
P1
K1
N1
P1 5
61
6 7 83
1 22 7 76
2 7 2 2
16 7 8
3
+1 22 7 7
6
2 7 2 2
227.5
K1
K1
K1
N1 4
7(a)
(b)
5.37
222
360
60 or 7
7
222
360
180
7 + 3.5 + 3.5 +22 +11
3
239
3or 39.67
277
22
360
180 or 27
7
22
360
60 or
25.37
22
360
180 or 25.3
7
22
360
60
277
22
360
180 - 27
7
22
360
60 -
25.37
22
360
180 + 25.3
7
22
360
60
= 382
1cm2 or 38.5 cm2
K1
K1
N1
K1
K1
N1 6
3
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No Marking Scheme Marks
8(a)
(b)
(c)
Statement
Implication 1: If P R then P R = P
Implication 2 : If P R = P then P R
Conclusion : 4n + n3 , where n = 1,2,3,4, ..
P1
P1
P1
P1P1 5
9(a)
(b)
64
200
8
25
60 59
120 119
59
238
K1
N1
K2
N15
10(a)
(b)
1 1
4 6 2 42 2
v v
v = 12
12 4
6 0
1
13
or 1.33
K2
N1
K2
N1 6
4
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No Marking Scheme Marks
11 p =3 , k = 10
1 3 6
2 4 3
m
n
4 3 61
2 1 34 6
m
n
3
2
3
2
m
n
m =3
2 , n =3
2
Notes:
1.
3
2
3
2
m
n
: N1
2. Solution without using matrices method cannot be accepted.
P1P1
P1
K1
N1,N1 6
5
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Section B
[48 marks]
No Marking Scheme Marks
12(a)
(b)
(c)
(d)
7.6
2
Graph
Axes are drawn in the correct direction, uniform scale for
2.5 x 4 and 2.5 y 46
6 points and 2 points* plotted accurately
Smooth and continuous curve without straight line(s) and passes
through all the 8 correct points for 2.5 x 4
Notes : (1) 6 or 7 points plotted correctly, award K1
(2) Other scale being used, subtract 1 mark from the KN
marks obtained.
2.5
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No Marking Scheme Marks
13 (a)
(b)
i) (5 , 6)
ii) (10 , 3)
Notes :1. (6, 1) : P1
2. Accept answers without bracket.
i) (a) Q : Rotation 90o anticlockwise about (0,6)
(b) M : Enlargement with scale factor 3 centered at point (4, 9).
Notes:
1. Rotation 90o anticlockwise or Rotation about (0,6) : P2
2. Rotation only : P1
3. Enlargement, scale factor 3 or Enlargement, at point ( 4, 9) : P2
4. Enlargement only : P1
ii) 32 343
32 343 343
2744Notes :
1.343
283.5
or equivalent : P2
2. Without calculation, K0N0
P1
P2
P3
P3
K1
K1
N112
14(a)Number of
telephone callsUpper
BoundaryFrequenc
yCumulativeFrequency
6 - 10 10.5 0 0
11 - 15 15.5 1 1
16 - 20 20.5 3 4
21 - 25 25.5 6 10
26 - 30 30.5 10 20
31 - 35 35.5 11 31
36 - 40 40.5 7 38
41 - 45 45.5 2 40
7
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No Marking Scheme Marks
(b)
(c)
Column I (all class interval correct)
Column II (all upper boundary correct)
Column III (all frequency correct)
Column IV(all cumulative frequency correct)
Note : Allow two mistakes in column III for P1
Ogive
Axes are drawn in the correct direction, uniform scale for
10.5 x 45.5 and 0 y 40
The horizontal axis labeled with upper boundary or
use the values of upper boundary for plotting
Plot 7 points*
Smooth and continuous curve without straight line(s) and
passes through all the 8 correct points for 20.5 x 55.5.
Notes : (1) 5 or 6 points* plotted correctly, award K1
(2) Mark(s) for plotting can be given to a curve which
passes through 7 points* and point (10.5, 0)
(3) Other scale being used, subtract 1 mark from the KNmarks obtained.
First Quartile = 25.5 or Third Quartile = 35 0.5
Interquartile range = 35 25.5
= 9.5 0.5
P1
P1
P1
P1
K1
K1
K2
N1
K1
K1
N1 12
8
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No Marking Scheme Marks
15 (a)
(b)
The shape must be correct in quadrilateral form for RSTU and
RSNM.
R and S are linked by dotted lines
UT = MN > UM = TNUR = TS < RM = SN
The measurement is accurate to 0.2 cm. (one way ) and the anglesat all verticals of the rectangle are 90 1
The shape must be correct in quadrilateral form for JKWG and
GFNW . TSPN is a trapezium. All lines must be drawn in full.
JK = GW = FN < JF = KN
JG = KW > GF = WN
KT < SP < TW
The measurement is accurate to 0.2 cm. (one way ) and the anglesat all verticals of the rectangle are 90 1
K1
K1
K1
N1
K1
K1
N2
9
L K
M
T
SR
P
G
F
S
J
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Graph for number 12
Graph for number 14
11
0
5
10
15
20
25
30
35
40
15.5 20.5 25.5 30.5 35.5 40.5 45.510.5
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