Contents

### Form 4

#### Chapter 1 - Standard Form

- Significant Figures

- Standard Form

#### Chapter 2 - Quadratic Expressions and Equations

- Concepts of Quadratic Expressions
- Quadratic Factorisation
- Quadratic 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

- Gradient of 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