Paper2-scheme Modified Sbp

SULIT 1449/2 Matematik Kertas2 Peraturan Pemarkahan Ogos 2008

1449/2

SEKOLAH BERASRAMA PENUH BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH /KLUSTER KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 2008

MATEMATIK Kertas 2

PERATURAN PEMARKAHAN

Jumlah Markah =

Kertas1 + Kertas 2 × 100% 140

Peraturan pemarkahan ini mengandungi 8 halaman.

[Lihat sebelah SULIT

1449/2

Section A [ 52 marks ]

No 1

Marking Scheme (i)

Marks

(ii)

P1, P2

B

A

B

A

3

C 2.

3.

C K1

2 x 2 − x − 15 = 0 (2 x + 5)( x − 3) = 0 5 x = − ,3 2

2m – n = 2 2n = 1

or

K1 N1N1

m =1 + 4m = 5

or

1 n 2

K1 K1

1 n= 2 5 m= 4 4.

N1 P1

5 12

K2

∠ HAE = 22.62o or 22o 37 ' 5.

4

N1

∠ HAE tan ∠ HAE =

4

N1

(a)

False

P1

(b)

If n = 2, then x n + x is a quadratic expression

P2

(c)

4n 2 + 7, n = 1, 2, 3.......

P1, P1

2

4

5

No 6.

7.

Marking Scheme 1 × (32 + 48) × 15 × 16 2 22 × 7 × 7 × 15 7 1 22 × (32 + 48) × 15 × 16 − × 7 × 7 × 15 2 7 7290 (a ) x = 6 (b) P (0,3) mPQ = 1

P1 P1

K1 K1 N1

4

K1

y = x+3 x = −3 8.

Marks K1

N1 P1

 4 −2  1   −4 − ( −6)  3 −1  1  4 −2  =   2  3 −1 

(a ) A−1 =

5

K1 N1

 −1 2  r   6  (b)    =    −3 4  s   8   r  1  4 −2  6   =     s  2  3 −1  8  r=4 s =5

P1 K1 N1 N1

 r   4 Note:   =   accept for P1  s 5

3

6

No

Marking Scheme

Marks

9.

(a )

180 22 13 × 2× × 360 7 2 180 22 13 × 2 × × + 5 + 12 360 7 2 3 37 or 37.43 7

K1 K1 N1

2

(b)

180 22  13  90 22 2 × ×   or × ×5 360 7  2  360 7 1 1 or × 5 × 7 or × 5 × 12 2 2

K1

2

180 22  13  1 90 22 2 1 ( × ×   + × 5 × 12) − ( × × 5 + × 5 × 7) 360 7  2  2 360 7 2 1 = 59 or 59.25 4

10

K1 N1

K1

18 = 0.5 T T = 36 1 (b) ×( x +80 ) ×18 = 855 2 x =15 (a)

N1

K2 N1

11

(a)

Yellow Muib’s Choice

Yellow Rizwan’s Choice 7    13  6    13 

 8   14 )    

Green

Yellow Green

6

4 Green

5

No

Marking Scheme

8    13  5    13 

 6   14 )    

(b) (i)

Marks

15 91

P3

8 6 × 14 13 (ii) 48 91

+

6 8 × 14 13

P1 K1 6 N1

12

2.5 −6

K1K1

(b) xUniform scales − 4.5 ≤ x ≤ 4.5 and −30 ≤ y ≤ 30 All 10 points plotted correctly . Smooth curve and passed all 10 correct points .

P1 K2 N1

y = –

−1.5 10

x y

(a) 15

y

y=3x+ 5

x

y=-15/x

y = –

(c)

15 : x Intercept (0, 0) x

P1 P1

x = −2.1 ± 0.1

5

No

y = −10.3 ± 0.5

y = −3x + 5 Straight line y = −3x +5 drawn x = −1.6 ± 0.1 , 3.2 ± 0.1

(d)

13

Marking Scheme

(a) (i) (ii)

(1 , 6) (6 , 1)

Marks K1 K1 N1N1 12 P1 P2

(b) (i) K : rotation 90o anticlockwise by the centre (3,4) (ii) J :enlargement at centre P or (6,3) and scale factor 2

P3 P3

(c) A +78 = 2 2 × A A = 26 cm2

K2 N1 12

14

(a) Time(minutes) Frequency (i) (ii) 35 – 39 2 40 – 44 3 45 – 49 4 50 – 54 7 55 – 59 6 60 -64 4 65 – 69 3 70 - 74 1 (i) (ii) (iii) (b).

Midpoints (iii) 37 42 47 52 57 62 67 72 P1 P1 P1

all class interval correct all frequencies correct all midpoints correct

P1

(i) 50 – 54 (ii)

2(37 ) + 3(42 ) + 4(47 ) + 7(52 ) + 6(57 ) + 4(62 ) + 3(67 ) +1(72 ) 2 + 3 + 4 + 7 + 6 + 4 + 3 +1

K2 N1

53.83

(c) •

Uniform scale on the x-axis and on the y – axis 6

K1

No

Marking Scheme Mid - points on horizontal axis 8 points plotted corecctly points (32,0) and (76,0) plotted correctly frequency polygon pass through all 8 points correctly, (32,0) and (76,0)

• • • •

Marks K1 K1 K1 N1

frequency

7 6 5 4 3 2 1 32 37 42 47 52 57 62 67 72 77

midpoint

12 15

I

J

4cm L H/E 4cm D/A

K G/F

6cm

C/B

Correct shape with two rectangle IJLK and LKAB. Dotted line HG. Correct mesurement ± 0.2. (b)F/B

J/G

K/C

I/H

L/D

P1 P1 Q2

6cm E/A

Correct shape with rectangle ABCD and semicircle CD. Straight line GH and semicircle CD by using compasses. Correct mesurement ± 0.2.

7

P1 P1 Q2

No

Marking Scheme

Marks

(c) I/J 5cm L/K

H/G

E/F

4cm

3cm A/B

D/C 3cm

8cm

Coreect shape with hexagon AEHILD and a rectangle. The length of the sides must be in correct proportion Correct mesurement ± 0.2 16

P1 P1 Q2

12

(a) N

K

P1P1

O L

J• J S

o

P2 K1 K1 N1

o

(b) (77 N , 110 W) (c) (90 − 77) × 2 (90 − 77) × 2 × 60 1560 n.m. (d)

(i)

(e) T =

K1 K1 N1

cos 77o 180 × 60 × cos 77o 2429.47* 2429.47 * +154 × 60 1500

K1

7.78 hours or 7 hr 47 min

N1 12

8

9