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SULIT 1449/21449/2MatematikKertas2PeraturanPemarkahanSeptember2010
PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH NEGERI PAHANG 2010
PEPERIKSAAN PERCUBAAN SPM 2010
MATEMATIK
Kertas 2
PERATURAN PEMARKAHAN
Peraturan pemarkahan ini mengandungi 12 halaman.
[Lihat sebelah1449/2 SULIT
Jumlah Markah =
Section A[ 52 marks ]
No Marking Scheme Marks
1a.
b.
P1
P2 3
2 (a)
2
No Marking Scheme Marks
240
(b)
GC = 5
K1
N1
K1
N1 4
3 Identify EAD or DAE or angle marked on the diagram correctly
tan EAD = 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
52x + 3y = –6 or x – y = 4 or equivalent
7y = –28
y = – 4 x = 3
K1
K1
N1N1 4
6
(a) y = 4
(b) Gradient of JK = or the gradient being used
P1
P1
3
No Marking Scheme Marks
or
or equivalent
yintercept =
K1
N1
P1 5
7
K1
K1
N1
N1 4 8 p =3 , k = 10
m = , n =
Notes:
1. : N1
2. Solution without using matrices method cannot be accepted.
P1P1
P1
K1
N1,N1 6
9(a) or K1
K1
4
No Marking Scheme Marks
(b) or
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)
(ii) (S,A) (S,U) (A,S) (A,T) (T,A) (T,U) (U,S) (U,T)
P1
K1
N1
K1
N1 5
11 (a) 45
(b) (i) 8.45 a.m (ii) 70 km(c)
72
P1
P1P2
K1
N1 6Section B[48 marks]
No Marking Scheme Marks
12(a)
5
No Marking Scheme Marks
(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
K1K1
N1
N112
13 (a) i) (1 , 8)
Notes :
1. (2, 6) : P1
P2
6
No Marking Scheme Marks
(b)
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 centered at point (1, 2).
(b) W : Reflection in the line
Notes:
1. Enlargement, scale factor 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
P3
P2
K1
K1
N1 12
14(a)
MarksUpper
BoundaryFrequenc
yCumulative Frequency
6 - 10 10.5 0 011 - 15 15.5 1 116 - 20 20.5 3 421 - 25 25.5 6 10
7
No Marking Scheme Marks
(b)
(c)
26 - 30 30.5 10 2031 - 35 35.5 11 3136 - 40 40.5 7 3841 - 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
K1N1 12
8
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 MB
G J
V
9
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
10
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 NM
L
F E
T
KH
11
No Marking Scheme Marks
16.
(a)
(i)
(ii)
(b)
(c)
(d)
750N
C(750N, 300E)750N or 300E : P1
30 x 601800 n.m.
20x60xcos 750 : Award K1 for using cos 630
310.58 n.m.
(75x2)x609000
310.58 + 9000
9310.58
931.058
P1
P2
K1N1
K1K1N1
K1
K1
K1
N1 12
12
Graph for number 12
Graph for number 14
13
Graph for number 14
14
0
5
10
15
20
25
30
35
40
15.5 20.5 25.5 30.5 35.5 40.5 45.510.5