### SPM Mathematics (Model Test Paper)

- Paper 2 Section A (Question only)
- Paper 2 Section B (Question only)
- Paper 2 Section A
**(Question and Answer)** - Paper 2 Section B
**(Question and Answer)**

### 01 Standard Form

- Significant Figures
- Standard Form
- Further Practice
**(with Solution)** - Short Questions

### 02 Quadratic Expressions and Equations

- Quadratic Expression
- Factorisation of Quadratic Expressions
- Quadratic Equations
- Roots of Quadratic Equations
- Further Practice
**(with Solution)** - Long Questions

### 03 Sets

- Set
- Subset, Universal Set and the Complement of a Set
- Operations on Sets
- Further Practice
**(with Solution)** - Short Questions
- Long Questions

### 04 Mathematical Reasoning

- Statements
- Quantifiers "All" and "Some"
- Operations on Statements
- Implication
- Argument
- Deduction and Induction
- Further Practice
**(with Solution)** - Long Questions

### 05 The Straight Line

- Gradient of a Straight Line
- Gradient of the Straight Line in Cartesian Coordinates
- Intercepts
- Equation of a Straight Line
- Parallel Lines
- Further Practice
**(with Solution)** - Short Questions
- Long Questions

### 06 Statistics

- Class Interval
- Mode and Mean of Grouped Data
- Histograms with Class Interval of the Same Size
- Frequency Polygons
- Cumulative Frequency
- Measures of Dispersion
- Further Practice
**(with Solution)** - Short Questions
- Long Questions

### 07 Probability I

- Sample Space
- Events
- Probability of an Event
- Further Practice
**(with Solution)** - Short Questions

### 08 Circles III

- Tangents to a Circle
- Angle Between Tangent and Chord
- Common Tangents
- Further Practice
**(with Solution)** - Short Questions

### 09 Trigonometry II

- Values of Sine, Cosine and Tangent of an Angle (Part 1)
- Values of Sine, Cosine and Tangent of an Angle (Part 2)
- Graphs of Sine, Cosine and Tangent
- Further Practice
**(with Solution)** - Short Questions

### 10 Angle of Elevation and Angle of Depression

- Angle of Elevation and Angle of Depression
- Solving Problems Involving Angles of Elevation and Depression
- Further Practice
**(with Solution)** - Short Questions

### 11 Lines and Planes in 3-Dimensions

- Angle between Lines and Planes
- Angle between Two Planes

# Form 5

### 01 Number Base

- Number in Base Two, Eight and Five (Part 1)
- Number in Base Two, Eight and Five (Part 2)
- Number in Base Two, Eight and Five (Part 3)
- Number in Base Two, Eight and Five (Part 4)
- Further Practice
**(with Solution)** - Short Questions

### 02 Graph of Functions II

- Graphs of Functions (Part 1)
- Graphs of Functions (Part 2)
- Solution of an Equation by Graphical Method
- Region Representing Inequalities in Two Variables
- Further Practice
**(with Solution)** - Short Questions
- Long Questions

### 03 Transformation III

- Concept of Combination of Two Transformations
- Determining the Image of an Object Under Combination of Two Isometric Transformations
- Determining the Image of an Object Under Combination of (a) Two Enlargements or (b) an Enlargement and an Isometric Transformation
- Stating the Coordinates of the Image of a Point under a Combined Transformation
- Describing the Combination of Two Transformations Given the Object and the Image
- Solving Problems involving Transformations
- Further Practice
**(with solution)** - Long Questions

### 04 Matrices

- Matrices
- Equal Matrices
- Addition and Subtraction of Matrices
- Multiplication of a Matrix by a Number
- Multiplication of Two Matrices
- Identity Matrix
- Inverse Matrix
- Solving Simultaneous Linear Equations
- Further Practice
**(with Solution)** - Short Questions
- Long Questions

### 05 Variations

- Direct Variation
- Inverse Variation
- Joint Variation
- Further Practice
**(with Solution)** - Short Questions

### 06 Gradient and the Area under a Graph

- The Quantity Represented by the Gradient of a Graph
- The Quantity Represented by the Area under a Graph
- Further Practice
**(with Solution)** - Long Questions

### 07 Probability II

- The Probability of an Event
- The Probability for the Complement of an Events
- The Probability of the Combined Event
- Finding the Probability of a Combined Event by Listing the outcomes
- Finding the Probability of Combined Events (a)
*A*or*B*(b)*A*and*B* - Further Practice
**(with Solution)** - Short Questions
- Long Questions

### 08 Bearing

- Bearing

### 09 The Earth as a Sphere

- Longitudes
- Latitudes
- Location of a Place
- Distance on the Surface of the Earth
- Distance between Two Points Along a Great Circle
- Distance between Two Points Along a Parallel of Latitude
- Shortest Distance between Two Points
- Further Practice
**(with Solution)** - Short Questions
- Long Questions

### 10 Plan and Elevation

- Orthogonal Projection
- Plan and Elevation
- Further Practice
**(with Solution)** - Long Questions