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SIJIL PELAJARAN MALAYSIA 2017 1449/2 MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA MAJLIS PENGETUA SEKOLAH MALAYSIA NEGERI PERLIS DAN MAJLIS GURU CEMERLANG NEGERI PERLIS

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Page 1: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

SIJIL PELAJARAN MALAYSIA 2017 1449/2

MATEMATIK

Kertas 2

Peraturan Pemarkahan

Ogos

PERATURAN PEMARKAHAN

PROGRAM GEMPUR KECEMERLANGAN

SIJIL PELAJARAN MALAYSIA 2017

ANJURAN BERSAMA

MAJLIS PENGETUA SEKOLAH MALAYSIA

NEGERI PERLIS

DAN

MAJLIS GURU CEMERLANG NEGERI PERLIS

Page 2: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

1

Straight line , is drawn correctly

The region is shaded correctly

Note:

1. is drawn in full line, give K1P1

2. Award P1 to shaded region bounded by two correct lines.

(Check one vertex from any two correct lines)

P1

P2

3

2 020283 2 xx

)10)(23( xx

or equivalent

10x

Note :

3

2x , 10x as final answer, award N1.

K1

K1

N2

4

1y

1y

O

Page 3: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

3 or 855 or 882 828108or 55874 yxyx 4774 mp or 74108 mp or equivalent

204 m

m – bata merah p - bata putih

OR

8

10

)8(7)10(4

1

m

p

4

7(K2)

74

47

Note:

8

4

10

7

74

47

m

por correct inverse seen K1

5m

p = 3

P1

K1

K1

N1

N1

5

4 (a)

(b)

EAB or BAE

tan 6

9 or equivalent

31.56 or 9156

P1

K1

N1

3

5

210

2200260357

22

260357

22

60357

22

2

2

2

K1

K1

K1

N1

4

Page 4: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

6 (a)

(b)

124or 0)2)(6(4 mm

3

3

2

4

1

y

x=

13

7 or equivalent

y

x

3

4

)3)(1()4(2

1

2

1

13

7

1

3

y

x

Note:

1

3

y

x as a final answer, award N1

K1

N1

P1

K1

N1

N1

6

7 (a)

(b)

4

1

)4(0

2 OR )4(

4

12

hc

3

04

)6(2

2

62 xy

K1

N1

K1

N1

N1

5

8 (a)

(b)

(c)

(d)

False / Palsu

Some / Sebilangan

All negative integers are less than 0 /

Semua integer negatif adalah kurang daripada 0.

OR

If x is a negative integer, then x less than 0.

Jika x adalah integer negatif, maka x kurang daripada 0.

16

Note : 42 award N1

P1

P1

P1

N2

5

Page 5: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

9 (a)

(b)

147

222

360

90 or 7

7

222

360

60

7 + 77

222

360

60 + 7 + 14

7

222

360

90 + 14

57.33or 3

157or

3

172

2147

22

360

90 or 27

7

22

360

60

22 77

22

360

60147

2

114

7

22

360

90

3

392

or

3

2130 or 130.67

K1

K1

N1

K1

K1

N1

6

10 (a)

(b)

KAKKAKKK

AAKAAAKA

,3,5,3,,3,6,3,3,,5,,,,6,,3,5,,5

,,5,6,5,3,,,,5,,6,,3,6,,6,5,6,,6

(i) AKKA ,,,

20

2 or

10

1

(ii) KAKKAKA ,,,6,5,3,,3,,3,6,3,3,5,,5,,5,6,5

20

10 or

2

1

Note: 1. Allow two mistakes for P1

2. Accept answer without listing with complete sample space

in 10 (a)

P2

K1

N1

K1

N1

6

Page 6: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

11 (a)

(b)

(c)

10.45 or 1045

Note : 10.45 p.m or 10.45 malam, award P0

90 – 36

54

2

90or

60

120

90

45

P1

K1

N1

K1

N1

5

12 (a)

(b)

(c)

(d)

11

7

Axes are drawn in correct directions with uniform scale for

44 x and 2610 y .

All points are correctly plotted or curve passes through all the points

for 44 x and 2610 y .

Note : 7 or 8 points correctly plotted award K1

Smooth and continuous curve without any straight line passes

through all 9 points using the given scale for 44 x and

2610 y

(i) 5.35.2 y

(ii) 2.30.3 x

Straight line 12 xy correctly drawn

Note:

Identify equation 12 xy award K1

Values of x : 4.32.3 x

2.34.3 x

Note: Values of x obtained by calculation, award N0

K1

K1

P1

K2

N1

P1

P1

K2

N1

N1

2

4

2

4

12

Page 7: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Graph for Question 12 / Graf untuk Soalan 12

x

x

x

x

x

x

x

x

x x

x x

x

x

y

x 1 2 3 4 0 -1 -2 -3 -4

-5

-10

-15

5

10

15

20

25

30

Page 8: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

13 (a)

(b)

(i) (3, 2)

(ii) (9 , 2)

Note:

(9, 2) marked on the diagram or 3,5 seen or 3,5 marked on the

diagram, award P1.

(i) (a) V = Rotation of 90o anticlockwise about the centre of J (2, 4)

V = Putaran 90o lawan arah jam pada pusat J (2, 4)

or equivalent

(b) W = Enlargement with scale factor of 2 about the centre

R (2,6)

W = Pembesaran dengan faktor skala 2 pada pusat R (2,6).

or equivalent

(ii) 90290 2

Note: 2290 , award K1

270

P1

P2

P3

P3

K2

N1

3

9

12

Page 9: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

24

)49(1*)44(2*)39(4*)34(6*)29(7*)24(4*

Question Solution and Mark Scheme Mark Total

14

(a)

Frequency : II to VIII

Midpoint : II to VIII

(b) 5

(c)

Note:

1. Allow two mistakes in frequency for K1

2. Allow two mistakes for the products of frequency and midpoint

for K1

24

796 or

6

133 or 33.17

Note: Correct answer from incomplete working

e.g 24

796 award Kk2

Umur (tahun) Kekerapan Titik Tengah

I 17 – 21 0 19

II 22 – 26 4 24

III 27 – 31 7 29

IV 32 – 36 6 34

V 37 – 41 4 39

VI 42 – 46 2 44

VII 47 – 51 1 49

VIII 52 – 56 0 54

P2

P1

P1

K2

N1

3

1

3

Page 10: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

14 (d) Frequency Polygon

Axes drawn in the correct directions with uniform scales for

5419 x and 70 y

1 point and *7 points correctly plotted through all the points for

5419 x and 70 y

Note: 7 or 6 points correctly plotted award K1

Smooth and continuous straight line, passing through all 8

correct points using the given scales for 5419 x and

70 y

(e) *7

Note: Do not accept answer without frequency polygon

P1

K2

N1

N1

4

1

12

Page 11: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Graph for Question 14 / Graf untuk Soalan 14

X

19 24 29 34 39 44 49 54

0

1

2

3

4

5

6

7

X

X

X

X

X

X

X

Age (years)

Umur (tahun)

Frequency

Kekerapan

Page 12: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

15 (a)

(b)

M/H/E

Correct shape with rectangle and right-angled triangle

KL > KB = BF

Measurement correct to cm2.0 (one way) and right-angles at

vertices = 90 1

Note: Ignore label

(i)

Correct shape with rectangle AEHF and hexagon FHMNTQ

All solid line

ME > EB > BG > GQ = QT = TN = NM

Measurement correct to cm2.0 (one way ) and all angle at a

vertices = 190

Note: Ignore label

K1

K1

N1

K1

K1

N2

3

4

3 cm

K/C

J/G/B

L/D

F/A

4 cm

3 cm

N/P M/L

T/S

2 cm

3 cm

2 cm

2 cm 4 cm

2 cm

3 cm

Q/R

F/G H

A/B/C E/D

Page 13: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

15 (b) (ii)

Correct shape with rectangle MLDE and square AEHF

All solid lines (ignore TS or QR)

F-S joined by dashed line to form rectangle MLST

LD > DA > AF = FG > GQ = QN = PS

Measurements correct to cm2.0 (one way) and all angles at

vertices = 190

Note: Ignore label

K1

K1

K1

N2

5

12

3 cm

2 cm

3 cm

5 cm

2 cm

3 cm

M/N L/P

S/R

E/B

D/C A

T/Q

H/G F

Page 14: PERATURAN PEMARKAHAN - Sistem Guru Online · MATEMATIK Kertas 2 Peraturan Pemarkahan Ogos PERATURAN PEMARKAHAN PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 2017 ANJURAN BERSAMA

Question Solution and Mark Scheme Mark Total

16 (a)

(b)

(c)

(d)

)70,60( ES

Note : ),60( ES award P2

)70,60( WS award P2

),60( WS award P1

60cos60

2520

Note : 60cos seen, award K1

110 ~ 84 or 26

W26

60)6060180(

3600

60)6060(

720

252060)6060( or

720

9720

5.13 or 2

113

P3

K2

K1

N1

K1

N1

K1

K1

N1

3

4

2

3

12