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MAJLIS PENGETUA SEKOLAH MATAYSIA(CAWANGAN PULAU PINANG)

MODUL LATIHAN BERFOKUS SPM 2013MATHEMATICSKERTAS 1

AnswercSkema Jawapan

QuestionNumber

Answer QuestionNumber

Answer QuestionNumber

Answer QuestionNumber

Answer

I B u D 2t D 3l C

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SULIT

144e/z(PP)

Peraturan

Pemarkahan

MatematikKertas 2

September2013

MAJLIS PENGETUA SEKOLAII MALAYSIA(cAwAI\tGAlt PULAU PINAI\IG)

MODT'L LATIHAN BERTOKUS SPM 2OI3

MATEMATIK

Kertas 2

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Solution and Mark Scheme

A

A

AA

>(w-o

t

Line y: x drawnRegion shaded correctlyNote: Award lmark for the shade region withoutdashed line.

2x2 -7x -15:e(2x +3Xx -S):0

3

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SULIT 1449/2

Question Solution and Mark Scheme Marks

(c ) If (-3)' is a positive number, then n is an even

number. ll Jika (-3f iahh nombor positi{ maka

n ialah nombor genap.

(d):-* (-;)

KI

KI

N1

5

(a) Y--5-l' or s:1 r2)+corequivalentx-Z 2 2 \' "- I

Iy =zx+4 or equivalent-2

o)

(c)

k:4

KI

NI

PI

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SULIT tu9t2

Solution and Mark Scheme

(b)

t; _i[) =[;)[,)- 1 (-3

[.rJ- n-3H-2x8)[-g

x=-l!=-6

Note 1.

/x\ /-r\l.r]

=t- tJas a finar answer, award Nl

Z.Do not accept answer not using matrixmethod

P1

KI

N1

NI

a) ffx z"+xt4

ft x 2 "+x 14 +t4+14

s0

KI

KI

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SULIT 1449/2

Question Solution and Mark Scheme Marks

l1 (a)13

(b) ( 18- l0) (13)or ( 8 ) ( 13 )

104 m

1

i(r+l3Xl0) +(5X13)

(c)

-=l4or

any equivalent

v- 16

Note, 1(r+13)(rO) ," 5 (13) award KI2'

PI

KI

NI

K2

N1 6

12 (a) y:12

'i

!='13

(b) Refer graph.

Axis correctly drawn wittt correct direction

and trniform scale in the range 4 3 x< 4 and

-48 s y s64

P1

PI

PI

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SULIT 1449t2

on Solution and Mark Scheme Marks

Graph for question no 12 lGraf untuk Soalan 12

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itL!

r3)

C=

i

=ts.'..

i--

-ginwOJ

SULIT 1449t2

Question Solution and Mark Scheme Marks

I3 (a) (i) (3, 0)

(a) (ii) (3,4)Note:(l, 7) award Pl

(b) (i) E : Rotation of 90" anticlockwise at point

(4,4).Note:

L Rotation only. Award Pl2. Rotation at point (4, 4) or

Rotation of 90o anticlockwise. Award P2

O) (il) F : Enlargement of scale factor 2 about point

N or (5, 5).

Note:

1. Enlargement only. Award Pl2. Enlargement of scale factor 2 or

Enlargement about point N or (5, 5). Award P2

56

PI

P2

P3

P3

K2

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Solution and Mark Scheme

Upper boundary

Sempadan atas

Cumulative

frequency

Kekerapon

Longgokanr 0.5 015.5

524.5 13

25.5 2730.5 5l35.s 72

40.5 8l45,5 84

t

Upper Boundary

Cumulative frequency

Ogwe (Refe, graph on page )

Axes drawn in the correct dirpction , uniform scalefor to.ss.r<45.s and o3y<84.

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SULIT 1449t2

onSolution and Mark Scheme Marks

Graph for Question t4/ Graf untuk soalan 14

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Question Solution and Mark Scheme Marks

l5 (a)

Correct shape wittr hexagon ADLII{E.AII solid lines.

AD>IL>IH>LD>AE=EH

Measurements comect to * 0.2 cm (one way) and all

KI

KI

10

SULIT 144912

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1.1

SULIT M49n

Question Solution and Mark Scheme Marks

l5 (bxi)

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72

SULIT 1449t2

Question Solution and Mark Scheme Marks

I5 (bxri)

Correct shape wittr rectangles fIKL, LKCD and tiangleCMN.All solid lines.(Igrtore HG)

KI

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13

SULIT

free'f,

piipsrs. free skena at : vlwu;.myschooichiiCren coi'rt

1449t2

Question Solution and Mark Scheme Marks

t6 (a) (651\ , l4ooE)

(b) (6505, l4ooE)

(c ) (i) Distance VE = 375 x25: 937 .5 n.m.

(ii) g x 50 x cos 650 : 937 .5

Note : cos 650 used correctly, award Kl0:37oLongitude of E : 30 W

(d)Shortest distance EN : (90 - 65) x 60: 1500 n.m. r

PI PI

PI PI

KIN1

K2

NINI

K1

N1 t2

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MODUL BERFOKUS 1VIATEMATIK SPM 2013

EXAMINATION SPECIFICATION TABLE (EST)

SPM MATHEMATICS . PAPER 2

Content Evaluation

Lines and Planes in 3-Dimensions

Graph ofFunctions II

Gradient and Area under a

Plans'iurd Elevatiohs

Total

Question

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