2012 Spm Jps (Skema) Math k1 and k2

1449 © 2012 Hak Cipta Jabatan Pelajaran Negeri Selangor

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

FB: 2012 SPM Tips/Notes/Ramalan (Official)

Downloaded from www.mystudyguide.net


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




3

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




4


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




5


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




6


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




7


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




8

Section B

[48 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




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




10


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




11

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




12


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




13


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




14


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



2012 Spm Jps (Skema) Math k1 and k2

Documents

Transcript of 2012 Spm Jps (Skema) Math k1 and k2