Download - Skema Matematik k1 & k2 Mibf Spm 2012 Set1

Skema jawapan ini mengandungi 14 halaman bercetak.

MAJLIS PENGETUA SEKOLAH MENENGAH CAWANGAN KLANG

PERATURAN PERMARKAHANMODUL ITEM BERFOKUS (1) DAERAH KLANG

SIJIL PELAJARAN MALAYSIA 2012

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MATHEMATICS 1449KERTAS 1 dan KERTAS 2

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Jumlah Markah =

1 2100%

140

Kertas Kertas

MODUL ITEM BERFOKUS (1) DAERAH KLANGSIJIL 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%

MATHEMATICS (1449/1)PAPER 1

No Soalan

JawapanNo

SoalanJawapan

No Soalan

JawapanNo

SoalanJawapan

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

2

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)


3

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


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


4

D

CA

3 cm 8 cm

B

GE

4 cm


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


5


(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


6

Section B[ 48 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


7

x 2 1.5 1 0 1 1.5 2 3 4

y 23 13.5 6 3 4 1.5 3 18 41


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


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


9

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


10

54.564.574.5

x

y


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


11

x0 4 76521 3


SubmarksTotal

Marks


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

1 mark2 marks1 mark

d) 48 – 38* = 10 1 mark 12


12


13


14

0

30.5 Time (hours)

10.5 35.5 40.525.520.515.5 45.5


Graf untuk soalan 16

Cumulative frequency

5

45

40

35

30

25

20

15

10

50