# SPM Math

Contents

### Form 4

#### Chapter 1 - Standard Form

• Significant Figures
• Standard Form

#### Chapter 2 - Quadratic Expressions and Equations

• Solving Quadratic Equations by Factorisation
• Problem Solving Using Quadratic Equations

#### Chapter 3 - Set

• Set and Its Notation
• Types of Sets
• Subsets
• Subsets
• Intersection of Sets
• Union of Sets
• Combined Operations on Sets

#### Chapter 4 - Mathematical Reasoning

• Statements and Their Truth Values
• The Quantifiers and Their Truth Values
• Negations
• Compound Statements
• The Truth Value of a Compound Statement
• Implication
• The Converse of an Implication
• Arguments
• Reasoning

#### Chapter 5 - The Straight Line

• Gradient of a Straight Line
• Gradient of a Straight Line in Cartesian Co-ordinates
• Intercepts
• The Graph and Equation of a Straight Line
• Finding the Equation of a Straight Line
• Parallel Lines
• Point of Intersection of Two Lines

#### Chapter 6 - Statistics

• Frequency Table
• Histogram
• Frequency Polygon
• Cumulative Frequency Diagram or Ogive
• Mean and Mode of Grouped Data
• Measures of Dispersion

#### Chapter 7 - Probability I

• Experiments and Outcomes
• Sample Space and Events
• Introduction to Probability
• Finding Probability Using Relative Frequency
• Solving Problems Involving Probability I

#### Chapter 8 - Circle III

• Tangents to a Circle
• Constructing Tangents
• Two Tangents to a Circle
• Angles in Alternate Segments
• Common Tangents

#### Chapter 9 - Trigonometry II

• The Unit Circle
• Trigonometric Ratios in a Unit Circle
• Special Angles
• Reference Angles
• Finding Angles
• Solving Problems Involving Sine, Cosine, and Tangent
• Graphs of Sine and Cosine Functions
• Graph of the Tangent Function

#### Chapter 10 - Angles of Elevation and Depression

• Angles of Elevation and Depression

#### Chapter 11 - Line and Planes in 3-Dimensions

• Points, Lines, and Planes
• The Orthogonal Projection of a Line on a Plane
• Angles in 3-Dimensional Structures

### Form 5

#### Chapter 1 - Number Bases

• Number Bases
• Conversion of Number Bases

#### Chapter 2 - Graphs of Functions

• Graphs of Linear and Constant Functions
• Graphs of Quadratic and Cubic Functions
• Graph of Reciprocal Functions
• Linear Inequalities in Two Unknowns
• Simultaneous Linear Inequalities

#### Chapter 3 - Transformations III

• Combination of Two Isomeric Transformations
• Combinations of Two Transformations
• Equivalent Transformations

#### Chapter 4 - Matrices

• Introduction to Matrices
• Operations on Matrices
• The Inverse Matrix
• Solving Simultaneous Linear Equations by Using Matrices

#### Chapter 5 - Variations

• Direct and Inverse Variations
• Joint Variation

#### Chapter 6 - Gradient and Area Under a Graph

• Area under a Graph

#### Chapter 7 - Probability II

• Probability of the Complement of an Event
• Probability of Combined Events
• Solving Problems Involving Probability II

#### Chapter 8 - Bearing III

• Bearing and Compass Directions
• Solving Problems Involving Bearing

#### Chapter 9 - Earth as a Sphere

• Longitude and Latitude
• Locations of a Place
• Distance along a Meridian and the Equator
• Distance between Two Points along the Equator
• Solving Problems Involving Points on the Surface of the Earth

#### Chapter 10 - Plans and Elevation

• Plans and Elevations