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SULIT 1449/21449/2MatematikKertas2PeraturanPemarkahanSeptember2010

PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH NEGERI PAHANG 2010

PEPERIKSAAN PERCUBAAN SPM 2010

MATEMATIK

Kertas 2

PERATURAN PEMARKAHAN

Peraturan pemarkahan ini mengandungi 12 halaman.

[Lihat sebelah1449/2 SULIT

Jumlah Markah =

Section A[ 52 marks ]

No Marking Scheme Marks

1a.

b.

P1

P2 3

2 (a)

2


240

(b)

GC = 5

K1

N1

K1

N1 4

3 Identify EAD or DAE or angle marked on the diagram correctly

tan EAD = or equivalent

14.04o or 14o 2

P1

K2

N1 4

4 (a) False

(b) Implication 1: If m > n then m – 3 > n – 3

Implication 2 : if m – 3 > n – 3 then m > n

(c) Conclusion : 4n + n3 , where n = 1,2,3,4, ……..

P1

P1

P1

P1P1 5

52x + 3y = –6 or x – y = 4 or equivalent

7y = –28

y = – 4 x = 3

K1

K1

N1N1 4

6

(a) y = 4

(b) Gradient of JK = or the gradient being used

P1

P1

3


or

or equivalent

yintercept =

K1

N1

P1 5

7

K1

K1

N1

N1 4 8 p =3 , k = 10

m = , n =

Notes:

1. : N1

2. Solution without using matrices method cannot be accepted.

P1P1

P1

K1

N1,N1 6

9(a) or K1

K1

4


(b) or

N1

K1

K1

N1 6

10 a) (S,A) (S,T) (S,U) (A,S) (A,T) (A,U) (T,S) (T,A) (T,U) (U,S) (U,A) (U,T)

b) (i) (T,S) (T,A) (T,U)

(ii) (S,A) (S,U) (A,S) (A,T) (T,A) (T,U) (U,S) (U,T)

P1

K1

N1

K1

N1 5

11 (a) 45

(b) (i) 8.45 a.m (ii) 70 km(c)

72

P1

P1P2

K1

N1 6Section B[48 marks]


12(a)

5


(b)

(c)

(d)

8

-16

Graph

Axes are drawn in the correct direction, uniform scale for – 4 x 4 and – 24 y 24

7 points and 2 points* plotted accurately

Smooth and continuous curve without straight line(s) and passes through all the 9 correct points for – 4 x 4

Notes : (1) 7 or 8 points plotted correctly, award K1

(2) Other scale being used, subtract 1 mark from the KN marks obtained.

-8.0 < y < -9.0

1.8 < x < 1.9

Note : Do not accept the values of x and y obtained by calculation

Identify the equation y = -2x+1 or equivalent The straight line y = -2x+1 drawn correctly

The values of x : 3.6 < x < 3.7

-3.3 < x < -3.1

Notes :

(1) Award N mark(s) if the value(s) of x shown on the graph(2) Do not accept the value(s) of x obtained by calculation

K1

K1

K1

K2

N1

P1

P1

K1K1

N1

N112

13 (a) i) (1 , 8)

Notes :

1. (2, 6) : P1

P2

6


(b)

2. Accept answers without bracket.

ii) (7 , 5)

Notes :

1. (8, 3) : P1

2. Accept answers without bracket.

i) (a) V : Enlargement with scale factor centered at point (1, 2).

(b) W : Reflection in the line

Notes:

1. Enlargement, scale factor or

Enlargemant at point (1, 2).: P2

2. Enlargement only : P1

3. Reflection only : P1

ii) 22 20.4 or equivalent

22 20.4 – 20.4

61.2

P2

P3

P2

K1

K1

N1 12

14(a)

MarksUpper

BoundaryFrequenc

yCumulative Frequency

6 - 10 10.5 0 011 - 15 15.5 1 116 - 20 20.5 3 421 - 25 25.5 6 10

7


(b)

(c)

26 - 30 30.5 10 2031 - 35 35.5 11 3136 - 40 40.5 7 3841 - 45 45.5 2 40

Column I (all class interval correct)

Column II (all upper boundary correct)

Column III (all frequency correct)

Column IV(all cumulative frequency correct)

Note : Allow two mistakes in column III for P1

Ogive

Axes are drawn in the correct direction, uniform scale for 10.5 x 45.5 and 0 y 40

The horizontal axis labeled with upper boundary or use the values of upper boundary for plotting

Plot 7 points*

Smooth and continuous curve without straight line(s) and passes through all the 8 correct points for 20.5 x 55.5.

Notes : (1) 5 or 6 points* plotted correctly, award K1

(2) Mark(s) for plotting can be given to a curve which passes through 7 points* and point (10.5, 0)

(3) Other scale being used, subtract 1 mark from the KN marks obtained.First Quartile = 25.5 or Third Quartile = 35 0.5

Interquartile range = 35 – 25.5 = 9.5 0.5

P1

P1

P1

P1

K1

K1

K2

N1

K1

K1N1 12

8


15 (a)

Correct shape with rectangles VUKJ and GKMB.All solid lines.Note:Ignore straight line JR

J and R joined with dashed line to form rectangle JRBG

GJ = VU = KM > UK

The measurement is accurate to 0.2 cm. (one way ) and the angles at all verticals of the rectangle are 90 1

K1

K1

K1

N1

U

K

R MB

G J

V

9


(b)

(i)

Correct shape with rectangles ADEF and IULF.All solid lines.

Semicircle VSU drawn

FL> UL > DE=AD


K1

K1

K1

N1

10


(ii)

Correct shape with rectangles USTN, NKLM and EFLH.All solid lines.Note:Ignore straight line HC

H and C joined with dashed line to form rectangle HLMC

ST = TM > LM > LF > FE = HK =US


K1

K1

K1

N1 12

U S

C NM

L

F E

T

KH

11


16.

(a)

(i)

(ii)

(b)

(c)

(d)

750N

C(750N, 300E)750N or 300E : P1

30 x 601800 n.m.

20x60xcos 750 : Award K1 for using cos 630

310.58 n.m.

(75x2)x609000

310.58 + 9000

9310.58

931.058

P1

P2

K1N1

K1K1N1

K1

K1

K1

N1 12

12

Graph for number 12

Graph for number 14

13

Graph for number 14

14

0

5

10

15

20

25

30

35

40

15.5 20.5 25.5 30.5 35.5 40.5 45.510.5

skema trial 2010 - keluarga82' · web viewsulit 1449/2 1449/2 matematik kertas2 peraturan...

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