Download - 2012 Spm Jps (Skema) Math k1 and k2
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Skema jawapan ini mengandungi 14 halaman bercetak.
JABATAN PELAJARAN NEGERI SELANGOR
MAJLIS PENGETUA SEKOLAH MENENGAH
PERATURAN PERMARKAHAN
PROGRAM PENINGKATAN PRESTASI AKADEMIK
PERCUBAAN SIJIL PELAJARAN MALAYSIA 2012
______________________________________________________
MATHEMATICS 1449
KERTAS 1 DAN KERTAS 2
______________________________________________________
Jumlah Markah =
1 2100%
140
Kertas Kertas
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2
PROGRAM PENINGKATAN PRESTASI AKADEMIK SIJIL PELAJARAN MALAYSIA 2012
MATHEMATICS 1449
SIFIR MARKAH
1 .= 1% 31 .= 22% 61 .= 44% 91 .= 65% 121 .= 86%
2 .= 1% 32 .= 23% 62 .= 44% 92 .= 66% 122 .= 87%
3 .= 2% 33 .= 24% 63 .= 45% 93 .= 66% 123 .= 88%
4 .= 3% 34 .= 24% 64 .= 46% 94 .= 67% 124 .= 89%
5 .= 4% 35 .= 25% 65 .= 46% 95 .= 68% 125 .= 89%
6 .= 4% 36 .= 26% 66 .= 47% 96 .= 69% 126 .= 90%
7 .= 5% 37 .= 26% 67 .= 48% 97 .= 69% 127 .= 91%
8 .= 6% 38 .= 27% 68 .= 49% 98 .= 70% 128 .= 91%
9 .= 6% 39 .= 28% 69 .= 49% 99 .= 71% 129 .= 92%
10 .= 7% 40 .= 29% 70 .= 50% 100 .= 71% 130 .= 93%
11 .= 8% 41 .= 29% 71 .= 51% 101 .= 72% 131 .= 94%
12 .= 9% 42 .= 30% 72 .= 51% 102 .= 73% 132 .= 94%
13 .= 9% 43 .= 31% 73 .= 52% 103 .= 74% 133 .= 95%
14 .= 10% 44 .= 31% 74 .= 53% 104 .= 74% 134 .= 96%
15 .= 11% 45 .= 32% 75 .= 54% 105 .= 75% 135 .= 96%
16 .= 11% 46 .= 33% 76 .= 54% 106 .= 76% 136 .= 97%
17 .= 12% 47 .= 34% 77 .= 55% 107 .= 76% 137 .= 98%
18 .= 13% 48 .= 34% 78 .= 56% 108 .= 77% 138 .= 99%
19 .= 14% 49 .= 35% 79 .= 56% 109 .= 78% 139 .= 99%
20 .= 14% 50 .= 36% 80 .= 57% 110 .= 79% 140 .= 100%
21 .= 15% 51 .= 36% 81 .= 58% 111 .= 79%
22 .= 16% 52 .= 37% 82 .= 59% 112 .= 80%
23 .= 16% 53 .= 38% 83 .= 59% 113 .= 81%
24 .= 17% 54 .= 39% 84 .= 60% 114 .= 81%
25 .= 18% 55 .= 39% 85 .= 61% 115 .= 82%
26 .= 19% 56 .= 40% 86 .= 61% 116 .= 83%
27 .= 19% 57 .= 41% 87 .= 62% 117 .= 84%
28 .= 20% 58 .= 41% 88 .= 63% 118 .= 84%
29 .= 21% 59 .= 42% 89 .= 64% 119 .= 85%
30 .= 21% 60 .= 43% 90 .= 64% 120 .= 86%
PAPER 1
No
Soalan Jawapan
No
Soalan Jawapan
No
Soalan Jawapan
No
Soalan Jawapan
1 A 11 B 21 B 31 D
2 C 12 C 22 A 32 D
3 D 13 C 23 D 33 A
4 A 14 A 24 B 34 D
5 A 15 D 25 C 35 C
6 D 16 D 26 C 36 A
7 B 17 C 27 B 37 C
8 B 18 B 28 A 38 B
9 B 19 A 29 B 39 C
10 A 20 C 30 D 40 D
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PROGRAM PENINGKATAN PRESTASI AKADEMIK MATHEMATICS PAPER 2 (1449/2)
Section A
[ 52 marks ]
No Marking Scheme Marks
Submarks Total
Marks
1
Dotted line x = –5
Shaded area
1 mark
2 marks
3
2
13 13
18123
y
yx
x = 2
y = 1
1 mark
1 mark
1 mark
1 mark
4
3
3
4
3
4
0)43)(43(
0169 2
x
x
xx
x
1 mark
1 mark
1 mark
1 mark
4
or equivalent
or equivalent
or equivalent
or equivalent
y = x
x
O 3
y = x + 3
3
y
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4
No Marking Scheme Marks
Submarks Total
Marks
4(a)
(b)
JEH
tan JEH = 3
8
69.44º or 69
º 27′
1 mark
1 mark
1 mark
3
5(a)(i)
(ii)
(b)
(c)
Some
All
If x > 9, then x > 20
False
x is not a factor of 8
1 mark
1 mark
1 mark
1 mark
2 mark
6
6(a)
(b)
mRS = 2
72
)5(23
xy
c
2x –7 = 0
x = 2
7
1 mark
1 mark
1 mark
1 mark
1 mark
5
7
( 8 4 6 )
½ ( 3 ) ( 8 ) 4
192 + 48
240 cm3
1 mark
1 mark
1 mark
1 mark
4
or equivalent
or equivalent
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5
No Marking Scheme Marks
Submarks Total
Marks
8(a)
(b)
k = 2
1
h = 4
5
7
31
42
y
x
3
1
2
1
y
x
2
1x
2
3y
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
6
9 (a )
(b)
127
222
360
90
12
7
222
360
90 + 6 + 6 + 6+
6
7
222
360
60 + 6
49.15 cm
267
22
360
60
26
7
22
360
60+
66
2
112
7
22
360
90 2
114 cm
1 mark
1 mark
1 mark
1 mark
1 mark
1 mark
6
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6
No Marking Scheme Marks
Submarks Total
Marks
10 (a)
2 marks
Outcomes
Kesudahan Bag A
Beg A
Raj
Tay
Box P
Kotak P
Box Q
Kotak Q Arif
Rama
Ela
Raj, Arif
Mat
Tay
Arif
Rama
Ela
Tina
Tay
Arif
Ela
May
Tay
Arif
Rama
Ela
Rama
Raj, Rama
Raj, Tay
Raj, Ela
Mat, Arif
Mat, Rama
Mat, Tay
Mat, Ela
Tina, Arif
Tina, Rama
Tina, Tay
Tina, Ela
May, Arif
May, Ram
May, Tay
May, Rama
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7
No Marking Scheme Marks
Submarks Total
Marks
(b)(i)
(ii)
{(Raj, Arif), (Raj, Rama), (Mat, Arif), (Mat, Rama)}
4
1
16
4atau
{(Raj, Ela), (Mat, Arif), (Mat, Ela), (Mat, Rama), (Mat, Tay),
(Tina, Ela), (May, Ela)}
16
7
1 mark
1 mark
1 mark
1 mark
6
11(a)
(b)
(c)
5 min
30
24
0.8 km / min
50
60
48
t
t= 57.6
1 mark
1 mark
1 mark
1 mark
1 mark
5
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8
Section B
[48 marks]
No Marking Scheme Marks
Submarks Total Marks
12(a)
x 0.5 5
y 10 1
1 mark
1 mark
12
(b)
(c)
Graph
Axes are drawn in the correct direction,
uniform scale for 0 x 8.
7 points and 2 points* plotted accurately
Smooth and continuous curve without straight line(s) and
passes through all the 9 correct points for 0 x 8.
(i) 1.0 < x < 1.2
(ii) 1.3 < y < 1.5
Note : Do not accept the values of x and y obtained by
calculation.
1 mark
2 marks
1 mark
1 mark
1 mark
(d) y = –x + 7
line y = –x + 7 correctly drawn
1 mark
1 mark
The values of x :
0.7 ≤ x ≤ 0.9 ,
6.1 ≤ x ≤ 6.3
Notes :(1) Award mark(s) if the value(s) of x shown on the
graph.
(2) Do not accept the value(s) of x obtained by
calculation.
1 mark
1 mark
13(a)(i)
(ii)
(7, –5)
(0, –2)
2 marks
2 marks
12
(b) (i) U = Reflection on the line x = 6.
V = Enlargement of scale factor 2 with centre P or (4, 7)
2 marks
3 marks
(c)
114 = 22 × Area of ABCDE – Area of ABCDE
Area ABCDE = 38 cm2
2 marks
1 mark
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9
x 0.5 1 2 2.5 4 5 6 7 8
y 10 5 2.5 2 1.25 1 0.83 0.7 0.6
54.5 64.5 74.5
2
9
8
7
6
5
4
4
3
5 x 7 6
1
0 3
2
1
y
10
Graph for Question 12
Graf untuk Soalan 12
8
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10
No Marking Scheme Marks
Submarks Total
Marks
14(a)
(b)
(c)
Column I Column II Column III
Number of books
Bilangan buku
Midpoint
Titik tengah
Frequency
Kekerapan
145 – 149 147 0
150 – 154 152 8
155 – 159 157 6
160 – 164 162 8
165 – 169 167 10
170 - 174 172 10
175 - 179 177 8
Column I (all class interval correct)
Column II (all midpoint correct)
Column III (all frequency correct)
50
)8(177)10(172)10(167)8(162)6(157)8(152)0(147
50
8260
165.2
Refer graph
Axes drawn in the correct directions with uniform scales,
for 147 ≤ x ≤ 182 and 0 ≤ y ≤ 10.
Plot 7 points correctly
Frequency polygon passes all 8 correct points.
The graph start and end at frequency = 0
1 mark
1 mark
1 mark
2 marks
1 mark
1 mark
2 marks
1 mark
1 mark
1 mark
12
(d) 8
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Midpoint
Frequency
Graph for Question 14
Graf untuk Soalan 14
152 157 162 167 172 177 182 147
1
7
6
5
4
3
2
9
8
10
0
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12
No Marking Scheme Marks
Submarks Total
Marks
15 Untuk soalan ini, bentuk betul tetapi ukuran yang dilukis tidak
mengikut skala sepatutnya. Pastikan calon melukis mengikut skala
sebenar.
(a)
Shape visually correct with L shape and quadrant SLK. All lines are
solid.
HA AB=IK JK=KL LB = HI=IJ
Measurements accurate up to 0.2 cm (one way) and all right
angles = 90o 1
o
1 mark
1 mark
1 mark
8 cm
L
H
I
A
J K
B
2 cm
2 cm
4 cm
6 cm
2 cm
4 cm
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13
No Marking Scheme Marks
Submarks Total
Marks
15
(b)(i)
Shape visually correct with rectangle ITCF, ILEF, LKDE, KTPQ and QPCD.
all lines are solid.
IT TC TP=ED >PC, IF = FD and QD = DC .
Measurements accurate up to 0.2 cm (one way) and all right
angles = 90o 1
1 mark
1 mark
2 marks
15 (b) (ii)
Shape visually correct with rectangle HLDG, HIFG and ILKF.
All lines are solid.
I joined to Q by a dashed line to form triangle ILQ.
GH = HL LQ = IL QD = FG
Measurements accurate up to 0.2 cm (one way) and all right angles
= 90o 1
o
1 mark
1 mark
1 mark
2 marks
12
2 cm
Q
F G D
I
4 cm
6 cm
2 cm H
2 cm
L
2 cm F D C E
I L T
Q P
4 cm
2 cm
4 cm 2 cm
6 cm
J
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14
No Marking Scheme Marks
Submarks Total
Marks
16
(a) (i) 150 W
(ii ) 2(9055) x 60 or (1805555)x60 or equivalent
4200 nautical miles
(b) 60
7500
Latitud of R = 60
7500 55
= 70S
(c ) 180 60 cos 55
= 6194.63 nautical miles
(d) Average speed = 18
7500 55)(180x60cos
= 760.8 knot
2 mark
1 mark
1 mark
1 mark
1 mark
1 mark
1+1 marks
1 mark
1 mark
1 mark
12
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