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SULIT 1449/2 1449/2 Matematik Kertas2 Peraturan Pemarkahan September 2010
PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH NEGERI PAHANG 2010
PEPERIKSAAN PERCUBAAN SPM 2010
MATEMATIK
Kertas 2
PERATURAN PEMARKAHAN
Peraturan pemarkahan ini mengandungi 12 halaman. [Lihat sebelah 1449/2 SULIT
Jumlah Markah = 1 2 100%140
Kertas Kertas
2
Section A [ 52 marks ]
No Marking Scheme Marks
1
a.
b.
P1
P2
3
3
No Marking Scheme Marks
2 (a) 1210631
240
(b) 84012101210631
GC
GC = 5
K1
N1
K1
N1
4
3
Identify EAD or DAE or angle marked on the diagram correctly tan EAD =
123 or equivalent
14.04o or 14o 2
P1
K2
N1
4
4
(a) False (b) Implication 1: If m > n then m – 3 > n – 3 Implication 2 : if m – 3 > n – 3 then m > n (c) Conclusion : 4n + n3 , where n = 1,2,3,4, ……..
P1
P1
P1
P1P1
5
5
2x + 3y = –6 or x –
41 y = 4 or equivalent
7y = –28 y = – 4 x = 3
K1
K1
N1 N1
4
4
No Marking Scheme Marks 6
(a) y = 4 (b) Gradient of JK =
21 or the gradient being used
c )5(213
or
21
)5()3(
xy
21
21
xy or equivalent
yintercept = 21
P1
P1
K1
N1
P1
5
7
0103 2 xx
0)2)(53( xx 2x
35
x or
67.1x
K1
K1
N1
N1
4
8 p =3 , k = 10 1 3 62 4 3
mn
4 3 612 1 34 6
mn
32
32
mn
m = 32
, n = 32
Notes:
1.
32
32
mn
: N1
2. Solution without using matrices method cannot be accepted.
P1P1
P1
K1
N1,N1
6
5
No Marking Scheme Marks
9
(a) 127222
36040
or 137222
36090
12513137222
3609012
7222
36040
81.58
211758
(b) 1212
722
36040
or 1313722
36090
1313722
360901212
722
36040
07.183
141183
K1
K1
N1
K1
K1
N1
6
10
a) (S,A) (S,T) (S,U) (A,S) (A,T) (A,U) (T,S) (T,A) (T,U) (U,S)
(U,A) (U,T) b) (i) (T,S) (T,A) (T,U)
41
123 or
(ii) (S,A) (S,U) (A,S) (A,T) (T,A) (T,U) (U,S) (U,T)
32
128 or
P1
K1
N1
K1
N1
5
11 (a) 45 (b) (i) 8.45 a.m (ii) 70 km (c)
607590
72
P1
P1 P2
K1
N1
6
6
Section B [48 marks]
No Marking Scheme Marks
12(a)
(b)
(c)
(d)
8
-16
Graph Axes are drawn in the correct direction, uniform scale for – 4 x 4 and – 24 y 24 7 points and 2 points* plotted accurately Smooth and continuous curve without straight line(s) and passes through all the 9 correct points for – 4 x 4 Notes : (1) 7 or 8 points plotted correctly, award K1
(2) Other scale being used, subtract 1 mark from the KN marks obtained.
-8.0 < y < -9.0
1.8 < x < 1.9
Note : Do not accept the values of x and y obtained by calculation Identify the equation y = -2x+1 or equivalent The straight line y = -2x+1 drawn correctly
The values of x : 3.6 < x < 3.7
-3.3 < x < -3.1
Notes : (1) Award N mark(s) if the value(s) of x shown on the graph (2) Do not accept the value(s) of x obtained by calculation
K1
K1
K1
K2
N1
P1
P1
K1 K1
N1
N1
12
7
No Marking Scheme Marks 13 (a)
(b)
i) (1 , 8) Notes :
1. (2, 6) : P1
2. Accept answers without bracket. ii) (7 , 5) Notes :
1. (8, 3) : P1
2. Accept answers without bracket.
i) (a) V : Enlargement with scale factor 21
centered at point (1, 2).
(b) W : Reflection in the line 3x
Notes:
1. Enlargement, scale factor 21
or
Enlargemant at point (1, 2).: P2
2. Enlargement only : P1
3. Reflection only : P1
ii) 22 20.4 or equivalent 22 20.4 – 20.4 61.2
P2
P2
P3
P2
K1
K1
N1
12
8
No Marking Scheme Marks 14(a)
(b)
(c)
Marks Upper
Boundary Frequency Cumulative Frequency
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
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 KN marks 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
9
No Marking Scheme Marks 15 (a)
Correct shape with rectangles VUKJ and GKMB. All solid lines. Note: Ignore straight line JR J and R joined with dashed line to form rectangle JRBG GJ = VU = KM > UK The measurement is accurate to 0.2 cm. (one way ) and the angles at all verticals of the rectangle are 90 1
K1
K1
K1
N1
U
K
R M B
G J
V
10
No Marking Scheme Marks
(b)
(i)
Correct shape with rectangles ADEF and IULF. All solid lines. Semicircle VSU drawn FL> UL > DE=AD The measurement is accurate to 0.2 cm. (one way ) and the angles at all verticals of the rectangle are 90 1
K1
K1
K1
N1
11
No Marking Scheme Marks
(ii)
Correct shape with rectangles USTN, NKLM and EFLH. All solid lines. Note: Ignore straight line HC H and C joined with dashed line to form rectangle HLMC ST = TM > LM > LF > FE = HK =US The measurement is accurate to 0.2 cm. (one way ) and the angles at all verticals of the rectangle are 90 1
K1
K1
K1
N1
12
U S
C N M
L
F E
T
K H
12
No Marking Scheme Marks
16.
(a)
(i)
(ii)
(b)
(c)
(d)
750N C(750N, 300E) 750N or 300E : P1 30 x 60 1800 n.m. 20x60xcos 750 : Award K1 for using cos 630 310.58 n.m. (75x2)x60 9000 310.58 + 9000 9310.58
1058.9310
931.058
P1
P2
K1 N1
K1K1 N1
K1
K1
K1
N1
12
13
Graph for number 12
Graph for number 14
14
Graph for number 14
0
5
10
15
20
25
30
35
40
15.5 20.5 25.5 30.5 35.5 40.5 45.5 10.5