1449/2

1449/2(PP)

Peraturan

Pemarkahan

Matematik

Kertas 2

Ogos

2009

BAHAGIAN PENGURUSAN

SEKOLAH BERASRAMA PENUH DAN SEKOLAH KLUSTER

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERCUBAAN

SIJIL PELAJARAN MALAYSIA 2009

MATEMATIK

Kertas 2

PERATURAN PEMARKAHAN

UNTUK KEGUNAAN PEMERIKSA SAHAJA

Peraturan Pemarkahan ini mengandungi 9 halaman bercetak 1449/2(PP) [Lihat sebelah

SULIT

SULIT 1449/2(PP)

AMARAN

Peraturan Pemarkahan ini SULIT dan Hak Cipta Sekolah Berasrama

Penuh. Kegunaannya khusus untuk pemeriksa yang berkenaan sahaja.

Sebarang maklumat dalam peraturan pemarkahan ini tidak boleh dimaklumkan

kepada sesiapa. Peraturan Pemarkahan ini juga tidak boleh dikeluarkan dalam

apa jua bentuk penulisan dan percetakan.

2

Section A

[ 52 marks ]

No Marking Scheme Marks

1

K1

K1

N1N1

4

2

or equivalent

or equivalent

,

K1

K1

N1 N1

4

3 Line x = 8 drawn

Shaded region

Deduct 1mark for solid line x = 8

K1

P2

3

4

UTS

Tan UTS = or equivalent

UTS = 60.260 or 600 15

P1

K2

N1

4

5

(i)

(ii) 12

12 2(5) or 25

yc

x

= + =

2 2y x= +

(iii) ( )2

2 2 5 or 20 5

yc

= + =

( )0, 8S

P1

K1

N1

K1

N1

5

6

Vprism =

Vcylinder =

Vsolid =

= OR OR 668.57

K1

K1

K1

N1

4

8

3

No Marking Scheme Marks

7

(a) 47

222

360

30 or 5

7

222

360

90

43557

222

360

904

7

222

360

30++++

95.2121

2021 =

(b) 447

22

360

30 or 55

7

22

360

90

557

22

360

9044

7

22

360

30+

83.236

523 =

K1

K1

N1

K1

K1

N1

6

8

(a)

(b) Implication 1: If the bearing of P from Q is 070 then the bearing of Q from P is 250.

Implication 2: If the bearing of Q from P is 250 then the bearing of P from Q is 070.

(c) 23 1 , 1,2,3,...n n+ =

P1

K1

K1

K1 N1

5

9

(a)

3 1

12 4=

(b)

8 2

12 3=

K1

N1

K2

N1

5

10

(a) 55 60

30

110

(b) 32

(c) (70 70) 60

110

+

476 or 76.36

11=

K1

N1

P1

K2

N1

6

4

No Marking Scheme Marks

11 a) =

2

3=s

(b)

=

11

4

43

21

y

x

4 2 41

3 1 112

x

y

=

x = 3

1

2y =

K1

N1

K1

K1

N1

N1

6

5

Section B

[48 marks]

No Marking Scheme Marks

12

(a)

(b) Graph ( Refer graph on page 6)

Axes drawn in the correct direction , the uniform scale is in the range given.

9 coordinates plotted correctly in the range given.

Smooth curve drawn continuously in the range without a straight line at any part and

passed through 9 correct coordinates .

(c) (i) 34.25 0.5y =

(ii) 3.25 0.1 , 0.55 0.1 , 3.8 0.1x = (d) Identify the equation 202 += xy or equivalent.

Draw the line 202 += xy x =

Notes : 2 values correct - N1

x -3 2

y 30 0

K1K1

K1

K2

N1

P1

P1

K1

K1

N2

12

13

(a) (i) (4, 3)

(ii) (5, 8)

(b) (i) Reflection in the line BC or 4x y+ = .

(b) (ii) Enlargement with scale factor 2 about centre B or (4, 0)

(b) (ii) 37

372 2

x+=

A = 111

P2

P2

P2

P3

K2

N1

12

6

Graph for Question 12

35

30

25

20

15

10

5

1 2 3 4 1 2 3

y

x

2

4

0

4

202 += xy

18133 += xxy

7

No Marking Scheme Marks

14

(a)

Class interval : ( III to VIII) correct

Frequency : ( I to VIII ) correct Allow 2 mistakes P1

Cumulative Frequency : ( I to VIII ) correct

(b) 0 32 2 37 4 42 7 47 7 52 6 57 4 62 2 6732

+ + + + + + +

265932

51.84 or

(c) Ogive (Refer graph on page 8)

Axes drawn in the correct direction , uniform scale for 5.695.34 x and

320 y .

Horizontal axis labeled using upper boundary or use the values of upper

boundary for plotting

8 points plotted correctly or the ogive passed through them.

The ogive completed and passed through 8 points correctly.

(d) Any correct information

Eg: 20 students obtained 54.5 marks and below

P1

P2

P1

K2

N1

K1

K1

K1

N1

N1

12

Class

Interval Frequency

Cumulative

Frequency

I 30-34 0 0

II 35 - 39 2 2

III 40 - 44 4 6

IV 45 - 49 7 13

V 50 - 54 7 20

VI 55 - 59 6 26

V11 60 - 64 4 30

V111 65-69 2 32

8

0

39.5 44.5 49.5 54.5 59.5 64.5

Marks

5

10

15

20

25

30

Cu

mu

lati

ve

Fre

qu

ency

69.5

35

34.5

9

No Marking Scheme Marks

15

16

(a)

(b)(i)

(b)(ii)

(a)

(b

3600 n.m

(c) 1800 or cos 40 seen

499.14 knot

K1

K1

N1

K1

K1

K1

N2

K1

K1

N2

P1P1

K1

K1

N1

K1

K1

K1K1

K2

N1

12

12

Correct shape of two rectangle and a circle

Circle drawn by using compasses

The centre of the circle marked

Correct measurement 0.2 cm

Correct shape of a pentagon and a triangle

Isosceles triangle with height 5 cm

Correct measurement 0.2 cm

4 cm

3 cm

3 cm 6 cm

5cm

7 cm

3 cm

3 cm

4 cm

Correct shape of rectangle BCGH

Dotted line

Correct measurement 0.2 cm