SPM Add. Maths (Model Test Paper)
- Paper 2 Section A (Question only)
- Paper 2 Section B & C (Question only)
- Paper 2 Section A (Question and Answer)
- Paper 2 Section B (Question and Answer)
- Paper 2 Section C (Question and Answer)
01 Functions
- Relation
- Functions
- Notation of Function
- Domain, Range, Objects, Images and Absolute Value Functions
- Example 1, Example 2 & 3, Example 4 & 5
- Composite Function
- Composite Function (Comparison Method)
- Finding new function given a composite function (Case A : First function is given)
- Finding new function given a composite function (Case B : Second function is given) Harder. Make sure you try it ! (Substitution Method)
- Inverse Function
- SPM Focus Practice (with Solution)
- Short Questions (Paper 1)
- Long Questions (Paper 2)
- Mind Map
Videos:
- Relation – Domain, Codomain, Objects and Images of Relations | Types of Relation
- Function – Function and Function Notation | Function and Function Notation (Examples) | Absolute Value Function
- (i) Types of Relation and Function Notation | (ii) Finding Object and Image for Ordered Pair | (iii) Finding Domain, Codomain and Range from Arrow Diagram
02 Quadratic Equations
- Introduction to Quadratic Equations
- General Form of Quadratic Equations
- Quadratic Equation and Its Roots
- Solving Quadratic Equations
- Forming Quadratic Equations from Given Roots
- Finding the Sum of Roots and Product of Roots of a Quadratic Equation
- Forming New Quadratic Equation given another Quadratic Equation
- Discriminant of a Quadratic Equations
- SPM Focus Practice, Paper 1 (with Solution)
- SPM Focus Practice, Paper 2 (with Solution)
- Mind Map
Videos:
- Introduction to the Quadratic Equation and It’s General Form
- Using Casio fx-570ES Plus / Casio fx-991ES Plus Calculator for Quadratic Equations
- Solving Quadratic Equation by – (Factorisation) | (Completing the Square) | Completing the Square (Examples) | (Quadratic Formula)
- Relationship between the Roots and the Coefficients – (Part 1) | (Part 2) | (Part 3) | (Part 4)
- Nature of Roots of Quadratic Equations – (Part 1) | (Part 2) | (Part 3)
03 Quadratic Functions
- General Form of Quadratic Function
- Graph of Quadratic Functions
- Maximum and Minimum Value of Quadratic Functions
- Finding the Maximum and Minimum points of Quadratic Function using completing the square
- Sketching the Graph of Quadratic Functions
- Quadratic Inequalities
- Nature of the Roots (Combination of Straight Line and the Curve)
- SPM Focus Practice (with Solution)
- Short Questions (Paper 1)
- Long Questions (Paper 2)
- Mind Map
Videos:
04 Simultaneous Equation
- Simultaneous Equations in Two Unknowns
- SPM Focus Practice, Paper 2 (with Solution)
- Using Casio fx-570ES Plus / Casio fx-991ES Plus Calculator for Simultaneous Equations
- Mind Map
05 Indices and Logarithms
- Indices
- Logarithms
- Equations Involving Indices
- Equations Involving Logarithms
- SPM Focus Practice (with Solution)
- Short Questions (Paper 1)
- Long Questions (Paper 2)
- Mind Map
Videos:
- Indices – Introduction | Zero Indices & Negative Integral Indices | Fractional Indices | Fractional Indices (Examples) | Express a Number in Index Form
- Law of Indices – Product of Two Indices Number | Quotient of Two Indices Number | Index of An Index Number | Index of A Product/ Quotient | Summary | Examples
- Logarithm – Introduction 1 | Introduction 2 | Laws of Logarithm | Laws of Logarithm (Examples)
- Finding Exact Value of a Logarithm – Part 1 | Part 2 | Part 3 | Part 4
- Change of Base of a Logarithm – Part 1 | Part 2 | Part 3
- Solving Equation with Index Number – Part 1 | Part 2 | Part 3 (Simultaneous Equation) | Part 4 (Addition/ Subtraction) | Part 5 (Examples)
- Using Casio fx-570ES Plus / Casio fx-991ES Plus Calculator for Indices & Logarithm
- Solving Exponential Equation
06 Coordinate Geometry
- Distance between 2 Points
- Division of Line Segment
- Areas of Polygons
- Equations of Straight Lines (Part 1)
- Equations of Straight Lines (Part 2)
- Parallel and Perpendicular Lines
- Equation of a Locus
- SPM Focus Practice (with Solution)
- Short Questions (Paper 1)
- Long Questions (Paper 2)
- Mind Map
07 Statistics
- Measures of Central Tendency
- Measures of Dispersion
- SPM Focus Practice (with Solution)
- Short Questions (Paper 1)
- Long Questions (Paper 2)
- Mind Map
08 Circular Measure
- Radian
- Arc Length of a Circle
- Area of Sector of a Circle
- SPM Focus Practice (with Solution)
- Short Questions (Paper 1)
- Long Questions (Paper 2)
- Mind Map
09 Differentiation
- Differentiation
- First Derivatives for Polynomial Functions
- First Derivatives of the Product of Two Polynomials
- First Derivatives of the Quotient of Two Polynomials
- First Derivatives of Composite Function
- Gradients of Tangents, Equations of Tangents and Normals
- Second Order Differentiation, Turning Points, Maximum and Minimum Points
- Related Rates of Change
- Small Changes and Approximations
- SPM Focus Practice (with Solution)
- Short Questions (Paper 1)
- Long Questions (Paper 2)
- Mind Map
Videos
- Technique of Differentiation
- Finding the Equation of Tangent
- Finding the Equation of Normal
- Finding the Maximum Value of a Quadratic Function
- Finding Maximum and Minimum Point – Second Derivative Test
- Differentiation – Rate of Change Example 1
- Using Casio fx-570ES Plus / Casio fx-991ES Plus Calculator for Differentiation
10 Solution of Triangles
- Sine Rule
- Cosine Rule
- Areas of Triangles
- SPM Focus Practice, Paper 2 (with Solution)
- Mind Map
11 Index Number
- Index Number
- Composite Index
- SPM Focus Practice, Paper 2 (with Solution)
- Mind Map