SPM Trial 2010 Math Ans (Pahang)
Transcript of SPM Trial 2010 Math Ans (Pahang)
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PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH MENENGAH
NEGERI PAHANG 2010
PEPERIKSAAN PERCUBAAN SPM 2010
Mathematics Paper 1Marking scheme
NO Key NO Key
1 C 21 D
2 D 22 C
3 A 23 D
4 B 24 A
5 C 25 C
6 C 26 A
7 A 27 D
8 B 28 B9 C 29 A
10 A 30 A
11 A 31 C
12 C 32 B
13 B 33 B
14 C 34 D
15 C 35 C
16 B 36 C
17 C 37 B
18 A 38 B
19 C 39 A20 B 40 A
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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
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2
Section A[ 52 marks ]
No Marking Scheme Marks
1a.
b.
P1
P2 3
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3
No Marking Scheme Marks
2 (a) 121063
1
240
(b) 8401210121063
1 GC
GC = 5
K1
N1
K1
N1 4
3 Identify EAD orDAE or angle marked on the diagramcorrectly
tan EAD =12
3 orequivalent
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 4
1 y = 4 or equivalent
7y = 28
y = 4x = 3
K1
K1
N1N1 4
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4
No Marking Scheme Marks
6 (a) y= 4
(b) Gradient of JK=2
1 or the gradient being used
c )5(213
or
21
)5()3( x
y
2
1
2
1 xy or equivalent
yintercept =2
1
P1
P1
K1
N1
P1 5
7 01032 xx
0)2)(53( xx
2x
3
5x or
67.1x
K1
K1
N1
N1 4
8 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
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6
Section B
[48marks]
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) andpasses 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 theKN marks obtained.
-8.0 < y< -9.0
1.8 < x< 1.9
Note : Do not accept the values of xand yobtained bycalculation
Identify the equation y= -2x+1 or equivalentThe straight line y= -2x+1 drawn correctly
The values of x : 3.6 < x< 3.7
-3.3 < x< -3.1Notes :
(1) Award N mark(s) if the value(s) of x shown on the graph(2) Do not accept the value(s) of xobtained by calculation
K1
K1
K1
K2
N1
P1
P1
K1K1
N1
N1 12
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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 factor21 centered at point (1, 2).
(b) W : Reflection in the line 3x
Notes:
1. Enlargement, scale factor2
1or
Enlargemant at point (1, 2).: P2
2. Enlargement only : P13. Reflection only : P1
ii) 22 20.4 orequivalent
22 20.4 20.4
61.2
P2
P2
P3
P2
K1
K1
N1 12
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No Marking Scheme Marks
14(a)
(b)
(c)
MarksUpper
Boundary FrequencyCumulativeFrequency
6 - 10 10.5 0 0
11 - 15 15.5 1 116 - 20 20.5 3 421 - 25 25.5 6 1026 - 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 whichpasses through 7 points* and point (10.5, 0)
(3) Other scale being used, subtract 1 mark from theKN 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
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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 theangles at all verticals of the rectangle are 90 1
K1
K1
K1
N1
U
K
RMB
G J
V
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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 theangles at all verticals of the rectangle are 90 1
K1
K1
K1
N1
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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 theangles at all verticals of the rectangle are 90 1
K1
K1
K1
N1 12
U S
C NM
L
F E
T
KH
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12
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 630310.58 n.m.
(75x2)x609000
310.58 + 9000
9310.58
10
58.9310
931.058
P1
P2
K1N1
K1K1N1
K1
K1
K1
N1 12
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13
Graph for number 12
Graph for number 14
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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 45.510.5
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