MAJLIS PENGETUA SEKOLAH MENENGAH CAWANGAN KLANG PERATURAN PERMARKAHAN MODUL ITEM BERFOKUS (1) DAERAH KLANG SIJIL PELAJARAN MALAYSIA 2012 ______________________________________________________ MATHEMATICS 1449 KERTAS 1 dan KERTAS 2 ______________________________________________________ Jum lah M arkah = 1 2 100% 140 K ertas K ertas
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Skema jawapan ini mengandungi 14 halaman bercetak.
MAJLIS PENGETUA SEKOLAH MENENGAH CAWANGAN KLANG
PERATURAN PERMARKAHANMODUL ITEM BERFOKUS (1) DAERAH KLANG
1 D 11 A 21 C 31 D2 B 12 A 22 A 32 C3 C 13 D 23 A 33 C4 D 14 D 24 D 34 B5 B 15 C 25 C 35 B6 A 16 C 26 A 36 C7 B 17 C 27 B 37 B8 B 18 A 28 D 38 D9 C 19 B 29 C 39 D10 A 20 A 30 A 40 B
MODUL ITEM BERFOKUS (1) PPD KLANG 2012
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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MATHEMATICS PAPER 2 (1449/2)
Section A[ 52 marks ]
No Marking Scheme MarksSubmarks Total Marks
1 (a) (i)
(ii)
(b) Draw the straight dotted line x = 2 Region shaded correctly
1 mark
2 marks
1 mark2 marks
6
2 16m + 4n = 12 or n = 3 4m or equivalent 9m = 18 or equivalent m = –2 dan n = 5
1 mark1 mark2 marks 4
3 1 mark
4
1 mark
2 marks
4 (a)
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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F
E
H
4
2
0−2−4 42
y = x + 1
x
x+ y =−2
y
−2
−4
6
R
P Q
PR
Q
No Marking Scheme MarksSubmarks Total Marks
Mark angle HBE1 mark
3
(b)
= 58 or 57.99O
1 mark
1 mark
5 (a) (i) Non-statement or not a statement(ii) Statement
(b) If then x = 8If x = 8 then
(c) All rectangles have four sides.
1 mark1 mark
1 mark1 mark
1 mark 5
6 (a) 3(0) + 4x = 24x = 6
(b) mPV = mOU =
3y 4(0) = 24 or y = 8 or c = 8 or V(0, 8)
1 mark1 mark
1 mark
1 mark
1 mark 5
7
1 mark
4
1 mark
1 mark
1 mark
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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D
CA
3 cm 8 cm
B
GE
4 cm
No Marking Scheme MarksSubmarks Total Marks
2646
8 (a)
=
1 mark
1 mark
5
(b) or equivalent 1 mark
x = 6 1 mark
y =
1 mark
Note :1. Accept only matrix method.
2. award 1 mark
9 (a)
or or 21.21
(b) or or
− −
or or 182.25
1 mark
1 mark
1 mark
1 mark
1 mark5
10 (a) (i) or
(ii) or or 1 −
or
1 mark
1 mark
1 mark
(b) (i) {1, 2, 3, 4, 7, 10, 12, 15} 1 mark
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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No Marking Scheme MarksSubmarks Total Marks
(ii) { 2, 4, 10, 12}
1 mark
1 mark
6
11 (a) 15 minutes
(b)
0.75 km min–1 or equivalent
(c) =1.5
t = 50
1 mark
1 mark
1 mark
1 mark
1 mark
5
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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Section B[ 48 marks ]
No Marking Scheme MarksSubmarks Total Marks
12(a) x 1.5 3
y 13.5 181 mark1 mark
12
(b)
Graph Axes are drawn in the correct direction,
uniform scale for 2.5 x 3.1 mark
7 points and 2 points* plotted accurately
Smooth and continuous curve without straight line(s) and passes through all the 9 correct points for 2.5 x 3.
Notes : (1) 7 or 8 points plotted correctly, award 1 mark
(2) Other scale being used, subtract 1 mark
2 marks
1 mark
(c)
(i) 3.45 < x < 3.55
(ii) 4.25 < y < 4.75
Note : Do not accept the values of x and y obtained by calculation.
1 mark
1 mark
(d)
Identify the equation or equivalentThe straight line drawn correctly
1 mark1 mark
The values of x : 2 < x < 2.1 2.6 < x < 2.5 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 mark1 mark
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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x 2 1.5 1 0 1 1.5 2 3 4
y 23 13.5 6 3 4 1.5 3 18 41
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
8
x
54.564.574.5
x
y
Graph for question 12
Graf untuk Soalan 12
−15
−10
−20
−25
−40
−35
5
−45
0 1 432−1−2
−5
−30
No Marking Scheme MarksSubmarks Total Marks
13(a) x 1.5 4
y 14.7 5.51 mark1 mark
12
(b)
Graph Axes are drawn in the correct direction,
uniform scale for 0.5 x 7.1 mark
7 points and 2 points* plotted accurately
Smooth and continuous curve without straight line(s) and passes through all the 9 correct points for 0.5 x 7.
Notes : (1) 7 or 8 points plotted correctly, award 1 mark
(2) Other scale being used, subtract 1 mark
2 marks
1 mark
(c)
(i) 2.25 < x < 2.35
(ii) 4.5 < y < 5
Note : Do not accept the values of x and y obtained by calculation.
1 mark
1 mark
(d)
Identify the equation or equivalent The straight line drawn correctly
1 mark1 mark
The values of x : 2.40 < x < 2.50 3.8 < x < 3.9 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 mark1 mark
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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x 0.5 1 1.5 2 3 4 5 6 7
y 44 22 14.7 11 7.3 5.5 4.4 3.7 3.1
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
10
54.564.574.5
x
y
Graph for question 13
Graf untuk Soalan 13
30
35
25
20
5
10
45
40
15
No Marking SchemeMarks
SubmarksTotal
Marks
14 (a) (i) (3, 3) (ii) (4, 3)
2 marks2 marks
(b) (i) (a) U = a reflection in the line y = 2 ( or straight line EF or KF or KEF)
Note : (1) reflection only, award 1 marks. (b) V = Enlargement, centre F, scale factor of 2 (note: accept centre (2, 2)
Note : (1) Enlargement, centre F or (2, 2), get 2 marks (2) Enlargement, scale factor 2, get 2 marks (3) Enlargement only, get 1 mark
(ii) Area of FKLMJN = 22 x 35 Area of shaded region = (22 x 35) − 35 = 105
2 marks
3 marks
1 mark
1 mark1 mark 12
15 (a) (i) (3, 2) (ii) (0, 2)
2 marks2 marks
(b) (i) (a) U = a 180º rotation, at centre E or (2,0) Note : (1) 180º rotation only, get 2 marks. (2) rotation at centre E or (2,0) only, get 2 marks. (3) rotation only, get 1 mark.
(b) V = Enlargement, centre (0, 0) or origin, scale factor 3
Note : (1) Enlargement, centre (0, 0) or origin get 2 marks (2) Enlargement, scale factor 3, get 2 marks (3) Enlargement only get 1 mark
(ii) Area of shaded region = 32 x 25 = 225
3 marks
3 marks
1 mark
1 mark12
1449 @ Hak Cipta MPSM Cawangan Klang Sulit
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x0 4 76521 3
No Marking SchemeMarks
SubmarksTotal
Marks
No Marking SchemeMarks
SubmarksTotal
Marks
16 a) Column I Column II Column IIIUpper BoundarySempadan atas
Midpoint Titik tengah
Cumulative Frequency Kekerapan Longgokan
10.5 8 0
15.5 13 2
20.5 18 7
25.5 23 14
30.5 28 24
35.5 33 39
40.5 38 46
45.5 43 48
Column I All correct: 1 mark
Column II :All correct: 1 mark
Column III All correct: 2 marks
Note for column III:(6 correct: 1 mark)
b) 2 marks
= 32.42 1 mark
c) graph: - uniform scale and correct axis direction - 7 points correctly plotted - smooth curve of ogive