perfect score word

BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH

DAN SEKOLAH KECEMERLANGAN

MODUL PERFECT SCORE

SEKOLAH BERASRAMA PENUH TAHUN 2014

ADDITIONAL MATHEMATICS

Panel Penyedia:

1. TN HJ MOHD RAHIMI BIN RAMLI SEK MEN SAINS SULTAN MAHMUD .( SESMA)

2. PN NORIZAH BINTI RAHMAT SEKOLAH MENENGAH SAINS JOHOR (SMSJ)

3. PN SARIPAH BINTI AHMAD SM SAINS MUZAFFAR SYAH, MELAKA.(MOZAC)

4. PN SABARIAH BINTI SAMAD SM SAINS REMBAU ( SEMESRA)

5. EN ABDUL RAHIM BIN BUJANG SEKOLAH TUN FATIMAH ( STF)

6. EN ABDUL RAHIM BIN NAPIAH SM SAINS TUN SYED SHEH SHABUDIN (STSSS)

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The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used.

b b2 4ac1. x =2a

2. aman am n 3. am an am n4. (am )n amn5. log a mn log a m log a n

6. log a m log a m log a n n

7. log a mn n log a m

ALGEBRA

8. log a b log c b log c a9. T n a (n 1)d

10. S n n2 [ 2a ( n 1)d ]

11. T n arn 1 12.S n a ( r n 1)a (1 r n ), r 1

r 11 r

13.Sa,r< 1

1 r

CALCULUS

1. y = uv,dy udv vdu

dxdxdx

vdu udv

udy

2.y =,dxdx

vdxv2

3.dydydu

dxdudx

1. Distance = ( x2 x1 )2 ( y2 y1 )2

2. Mid point x x2y y2

( x , y ) = 1,1

22

3. Division of line segment by a point nx mxny my

( x , y ) = 12,12

m nm n

4Area under a curve

= b y dx or a= b x dya

5. Volume of revolution = b y 2 dx ora= b x2 dya

GEOMETRY

4. Area of triangle1= 2 ( x1 y2 x2 y3 x3 y1 ) ( x2 y1 x3 y2 x1 y3 )

5.r x2 y2

xi yj6. r x 2 y2

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STATISTICS

1. x x N

2. x fx f

3.( x x )2=

N

4. f ( x x )2=

f

1

5.m = L +2 N F C

fm

6.I Q1 100

Q0

x2 x 2N fx 2 x 2

f

Wi Ii

7I

Wi

8n P n!

r( n r )!

9n Cr n!

( n r )!r!

10 P(AB) = P(A) + P(B) P(AB)

11 P ( X = r ) = n C r pr qnr , p + q = 1

12 Mean , = np

13 npq14 Z = X

1. Arc length, s = r

2. Area of sector, A = 12 r 2

3. sin A + cos A = 1

TRIGONOMETRY

8. sin ( A B ) = sin A cos B cos A sin B 9.cos ( A B ) = cos A cos Bsin A sin B

10tan ( A B ) =tan A tan B

1 tan A tan B

4. sec A = 1 + tan A

5. cosec A = 1 + cot A

6. sin 2A = 2sin A cos A

7. cos 2A = cos A sin A

2 cos A 1

1 2 sin A

11tan 2A =2 tan A

1 tan2 A

abc

12

sin Asin Bsin C

13 a = b + c 2bc cos A

14 Area of triangle = 12 ab sin C

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ANALISIS KERTAS PEPERIKSAAN SIJIL PELAJARAN MALAYSIA

MATEMATIK TAMBAHAN (2007 2013)

Kertas / Paper 1 (3472/1)

2007200820092010201120122013

TAJUK

Fungsi1,2,31,2,31,2,31,2,31,2,31,2,31,2,3

Functions

Persamaan Kuadratik444544,54

Quadratic Equations

Fungsi Kuadratik5,65,65,64,65,665,6

Quadratic Functions

Indeks & Logaritma7,87,87,87,87,87,87,8

Indices & Logarithms

Janjang9,10,119,10,119,10,119,10,119,10,119,10,119,10,11

Progressions

Hukum Linear1212-12121212

Linear Law

Koordinat Geometri13,1413,141513,141313,1413,14

Coordinate Geometry

Vektor15,1615,1613,1415,1616,1715,1615,16

Vectors

Sukatan Membulat18181217181817

Circular Measures

Fungsi Trigonometri171716,171814,151718

Trigonometry Functions

Pembezaan19,2019,2019,20202019,2019,20

Differentiation

Pengamiran212118,2119,2119,212121

Integrations

Statistik22222422222222

Statistics

Pilihatur & Gabungan

Permutations &232322,2323232323

Combinations

Kebarangkalian2424-24242424

Probability

Taburan

Kebarangkalian25252525252525

Probability Distributions

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Kertas / Paper 2 (3472/2)

TAJUK2007200820092010201120122013

Section / Bahagian A

Persamaan Serentak1111111

Simultaneous Equations

Janjang63633-2

Progressions

Fungsi Kuadratik-22--2-

Quadratic Functions

Indeks & Logaritma----2--

Indices & Logarithms

Geometri Koordinat2--55--

Coordinate Geometry

Vektor-65--53

Vectors

Fungsi Trigonometri3442664

Trigonmetry Functions

Pembezaan4-3--35

Differentiation

Pengamiran---4---

Integration

Statistik55-6446

Statistics

Section / Bahagian B

Hukum Linear7887777

Linear Law

Pembezaan-778-8-

Differentiation

Vektor8--910--

Vectors

Pengamiran10---8-8

Integration

Koordinat Geometri-109--109

Geometry Coordinate

Probability Distributions11111110111110

Taburan Kebarangkalian

Sukatan Membulat9910119911

Circular Measures

Section / Bahagian C

Motion Along a Straight Line12121512121212

Gerakan Pada Garis Lurus

Penyelesaian Segitiga15141215131313

Solutions of Triangles

Nombor Indeks13131313141414

Number Index

Pengaturcaraan Linear14151414151515

Linear Programming

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FORMAT OF QUESTION PAPER : ADDITIONAL MATHEMATICS PAPER 2 ; 3472/2

COMPONENTTOPIC

Functions

Quadratic Equations

Quadratic Functions

ALGEBRASimultaneous Equations

Indices and Logarithms

Progressions

Linear Law

Statistics

Permutations and Combinations

STATISTICS

Probability

Probability Distribution

Circular Measures

TRIGONOMETRIC

Trigonometric Functions

Differentiation

CALCULUS

Integration

Coordinate Geometry

GEOMETRY

Vectors

APPLICATIONS OF SCIENCE ANDSolution of Triangles

TECNOLOGYMotion Along a Straight Line

APPLICATION OF SOSIAL SCIENCEIndex Number

Linear Programming

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NO.TOPICNOTOPICNOTOPIC

1.Simultaneous Equations7Linear Law12.Motion Along a Straight

Line

2.8.13.Solution of Triangles

3.9.14.Index Number

4.10.Circular Measures15.Linear Programming

5.Trigonometric Functions11.Probability

Distributions

6.

40 marks40 marks20 marks

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SENARAI SEMAK MENJELANG PEPERIKSAAN SPM

Paper 1

TopicSubtopicConceptCheck

FUNCTIONSRelationArrow diagram, ordered pairs, graph -

Object, image, domain, codomain , range, type of range,

InverseComparison

Composite functionComparison , find the function given the composite function

QUADRATICRoot of QuadraticFind the root using formula

EQUATIONSEquation

Equation ofForm quadratic equation (i)given roots

Quadratic Equation(ii) and

Type of Rootsb2 4ac 0 , b2 4ac 0 , b2 4ac 0 ,

QUADRATICCompletingGraph , maximum / minimum values/point , axis of symmetry

FUNCTIONthe squareAnalysis of the graph (comparison with the CT2 )

InequalitiesFind the range o

INDICES &IndicesSolve the equations involving indices : same base, using log,

LOGARITHMSfactorisation

LogarithmSolve the equation involving log : same base , different base

express express - laws of log

PROGRESSIONSAPnth-term , sum of the terms

GPnth-term, sum of terms, sum of infinity, decimal to fraction

COORDINATESDistance , midpoint, division m:n, area, parallel, perpendicular,

GEOMETRYequation of straight line, locus

LINEAR LAWComparison linear equation with the graph (log/non log)

VECTORResultant of VectorsCollinear, parallel

Vectors in CartesianState vectors in i and j , column vectors, parallel, collinear, unit

Planevector

DIFFERENTIATIONDifferentiateDirect/expand, uv , u/v , find the value of the diff , rate , small

change, minimum/maximum

INTEGRATIONHow to integrate, properties of integration, area, volume

CIRCULARFind the angle (SOH CAH TOA) , arc length (perimeter), area ,

MEASUREarea of segment

TRIGOEquation , ratio (triangle)

STATMean, mod, median (formula) , Q1 , Q3 , IR , variance, standard

deviation , effect of +/- or /

PERMUTATIONS &Permutations and Combinations

COMBINATIONS

PROBABILITYSimple Probability

PROBABILITYBinomial : find the probability , np , 2 npq

DISTRIBUTIONS

Normal : find the probability , standard score , z X .

find variable if the probability given.

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Paper 2

TopicSubtopicConceptCheck

SECTION A

SIMULTANEOUSFactorisation / using the formula

EQUATION

QUADRATICCT2 : express to the form of a(x+b)2 + c ; maximum/ minimum

EQUATION /value/points , axis of symmetry , sketch the graph, the new

FUNCTIONequation when reflected x-axis/y-axis

PROGRESSIONSAP , GPn-term, sum of the terms, sum to the infinity

STATISTICS- Mean,