# SPM Trial 2010 Math Ans (Pahang)

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PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH MENENGAH

NEGERI PAHANG 2010

PEPERIKSAAN PERCUBAAN SPM 2010

Mathematics Paper 1Marking scheme

NO Key NO Key

1 C 21 D

2 D 22 C

3 A 23 D

4 B 24 A

5 C 25 C

6 C 26 A

7 A 27 D

8 B 28 B9 C 29 A

10 A 30 A

11 A 31 C

12 C 32 B

13 B 33 B

14 C 34 D

15 C 35 C

16 B 36 C

17 C 37 B

18 A 38 B

19 C 39 A20 B 40 A

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SULIT 1449/2

1449/2

Matematik

Kertas2

Peraturan

Pemarkahan

September

2010

PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH

NEGERI PAHANG 2010

PEPERIKSAAN PERCUBAAN SPM 2010

MATEMATIK

Kertas 2

PERATURAN PEMARKAHAN

Peraturan pemarkahan ini mengandungi 12 halaman.

[Lihat sebelah

1449/2 SULIT

Jumlah Markah =1 2

100%140

Kertas Kertas

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2

Section A[ 52 marks ]

No Marking Scheme Marks

1a.

b.

P1

P2 3

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3

No Marking Scheme Marks

2 (a) 121063

1

240

(b) 8401210121063

1 GC

GC = 5

K1

N1

K1

N1 4

3 Identify EAD orDAE or angle marked on the diagramcorrectly

3 orequivalent

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

5 2x + 3y = 6 or x 4

1 y = 4 or equivalent

7y = 28

y = 4x = 3

K1

K1

N1N1 4

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4

No Marking Scheme Marks

6 (a) y= 4

1 or the gradient being used

c )5(213

or

21

)5()3( x

y

2

1

2

1 xy or equivalent

yintercept =2

1

P1

P1

K1

N1

P1 5

7 01032 xx

0)2)(53( xx

2x

3

5x or

67.1x

K1

K1

N1

N1 4

8 p =3 , k = 10

1 3 6

2 4 3

m

n

4 3 61

2 1 34 6

m

n

3

2

3

2

m

n

m =3

2 , n =

3

2

Notes:

1.

3

2

3

2

m

n

: N1

2. Solution without using matrices method cannot be accepted.

P1P1

P1

K1

N1,N1

6

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6

Section B

[48marks]

No Marking Scheme Marks

12(a)

(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) andpasses 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 theKN marks obtained.

-8.0 < y< -9.0

1.8 < x< 1.9

Note : Do not accept the values of xand yobtained bycalculation

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

The values of x : 3.6 < x< 3.7

-3.3 < x< -3.1Notes :

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

K1

K1

K1

K2

N1

P1

P1

K1K1

N1

N1 12

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7

No Marking Scheme Marks

13(a)

(b)

i) (1 , 8)Notes:

1. (2, 6) : P1

ii) (7 , 5)

Notes:

1. (8, 3) : P1

i) (a) V : Enlargement with scale factor21 centered at point (1, 2).

(b) W : Reflection in the line 3x

Notes:

1. Enlargement, scale factor2

1or

Enlargemant at point (1, 2).: P2

2. Enlargement only : P13. Reflection only : P1

ii) 22 20.4 orequivalent

22 20.4 20.4

61.2

P2

P2

P3

P2

K1

K1

N1 12

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8

No Marking Scheme Marks

14(a)

(b)

(c)

MarksUpper

Boundary FrequencyCumulativeFrequency

6 - 10 10.5 0 0

11 - 15 15.5 1 116 - 20 20.5 3 421 - 25 25.5 6 1026 - 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 whichpasses through 7 points* and point (10.5, 0)

(3) Other scale being used, subtract 1 mark from theKN 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

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9

No Marking Scheme Marks

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 theangles at all verticals of the rectangle are 90 1

K1

K1

K1

N1

U

K

RMB

G J

V

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10

No Marking Scheme Marks

(b)

(i)

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

Semicircle VSU drawn

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

K1

K1

K1

N1

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11

No Marking Scheme Marks

(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

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

K1

K1

K1

N1 12

U S

C NM

L

F E

T

KH

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12

No Marking Scheme Marks

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 630310.58 n.m.

(75x2)x609000

310.58 + 9000

9310.58

10

58.9310

931.058

P1

P2

K1N1

K1K1N1

K1

K1

K1

N1 12

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13

Graph for number 12

Graph for number 14

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14

Graph for number 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

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