Page 2 - Focus SPM 2022 - Additional Mathematics

CONTENTS

Mathematical Formulae v Chapter
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Form 4 6 Linear Law 108

Chapter 6.1 Linear and Non-Linear Relations 109
1 Functions 1 6.2 Linear Law and Non-Linear Relations 114

6.3 Applications of Linear Law 121
1.1 Functions 2 SPM Practice 6 124
1.2 Composite Functions 14
1.3 Inverse Functions 19
SPM Practice 1 27 Chapter 7 Coordinate Geometry 128
Chapter
2 Quadratic Functions 29 7.1 Divisor of a Line Segment 129
7.2 Parallel Lines and Perpendicular Lines 132
2.1 Quadratic Equations and Inequalities 30 7.3 Areas of Polygons 137
2.2 Types of Roots of Quadratic Equations 37 7.4 Equations of Loci 142
2.3 Quadratic Functions 39 SPM Practice 7 145
SPM Practice 2 52
Chapter Chapter
3 Systems of Equations 55 8 Vectors 148

3.1 Systems of Linear Equations in Three 8.1 Vectors 149
Variables 56 8.2 Addition and Subtraction of Vectors 155
3.2 Simultaneous Equations involving One 8.3 Vectors in a Cartesian Plane 166
Linear Equation and One Non-Linear SPM Practice 8 173
Equation 60
SPM Practice 3 65 Chapter
Chapter 9 Solution of Triangles 179
4 Indices, Surds and Logarithms 67
9.1 Sine Rule 180
4.1 Laws of Indices 68 9.2 Cosine Rule 184
4.2 Laws of Surds 70 9.3 Area of a Triangle 188
4.3 Laws of Logarithms 75 9.4 Application of Sine Rule, Cosine Rule and
4.4 Applications of Indices, Surds and Area of a Triangle 191
Logarithms 80 SPM Practice 9 194
SPM Practice 4 85

Chapter Chapter
5 Progressions 87 10 Index Numbers 196

5.1 Arithmetic Progressions 88 10.1 Index Numbers 197
5.2 Geometric Progressions 96 10.2 Composite Index 200
SPM Practice 5 104 SPM Practice 10 211

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00 Content SPM.indd 3 08/11/2021 4:10 PM