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SPM Add. Maths (Model Test Paper)

  1. Paper 2 Section A (Question only)
  2. Paper 2 Section B & C (Question only)
  3. Paper 2 Section A (Question and Answer)
  4. Paper 2 Section B (Question and Answer)
  5. Paper 2 Section C (Question and Answer)

01 Functions

  1. Relation
    1. Domain and Codomain
    2. Types of Relation
  2. Functions
  3. Notation of Function
  4. Examples
  5. Composite Function
  6. Composite Function (Comparison Method)
  7. Finding new function given a composite function (Case A : First function is given)
  8. Finding new function given a composite function (Case B : Second function is given) Harder. Make sure you try it ! (Substitution Method)
  9. Inverse Function
  10. Mind Map

Videos:

  1. Type of Relation and Function Notation
  2. Finding Object and Image for Ordered Pair
  3. Finding Domain, Codomain and Range from Arrow Diagram

 

02 Quadratic Equations

  1. Introduction to Quadratic Equations
  2. General Form of Quadratic Equations
  3. Quadratic Equation and Its Roots
  4. Solving Quadratic Equations
    1. Factorisation
    2. Completing the Square
    3. Quadratic Formula
  5. Forming Quadratic Equations from Given Roots
  6. Finding the Sum of Roots and Product of Roots of a Quadratic Equation
  7. Forming New Quadratic Equation given another Quadratic Equation
  8. Discriminant of a Quadratic Equations
  9. SPM Focus Practice, Paper 1 (with Solution)

  10. SPM Focus Practice, Paper 2 (with Solution)
  11. Mind Map

Videos:

  1. Introduction to the Quadratic Equation and It’s General Form
  2. Quadratic Equation and Its General Form
  3. Quadratic Equation (Finding the value of a, b and c of a QE)
  4. Solving Quadratic Equation
  5. Quadratic Function (Quadratic Inequality)
  6. Forming Quadratic Equation from Its Roots
  7. Discriminant of a Quadratic Equation – Part 1 | Part 2

03 Quadratic Functions

  1. General Form of Quadratic Function
  2. Graph of Quadratic Functions
  3. Maximum and Minimum Value of Quadratic Functions
  4. Finding the Maximum and Minimum points of Quadratic Function using completing the square
  5. Sketching the Graph of Quadratic Functions
  6. Quadratic Inequalities
  7. Nature of the Roots (Combination of Straight Line and the Curve)
  8. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  9. Mind Map

Videos:

  1. Quadratic Function (Linear Inequality)
  2. Quadratic Function (Quadratic Inequality)

04 Simultaneous Equation

  1. Simultaneous Equations in Two Unknowns
  2. SPM Focus Practice, Paper 2 (with Solution)
  3. Mind Map

05 Indices and Logarithms

  1. Indices
    1. Indices Part 1
    2. Indices Part 2
  2. Logarithms
    1. Laws of Logarithms
    2. Change of Base of Logarithms
  3. Equations Involving Indices
  4. Equations Involving Logarithms
  5. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  6. Mind Map

Videos:

  1. Solving Exponential Equation

06 Coordinate Geometry

  1. Distance between 2 Points
  2. Division of Line Segment
  3. Areas of Polygons
  4. Equations of Straight Lines (Part 1)
  5. Equations of Straight Lines (Part 2)
  6. Parallel and Perpendicular Lines
  7. Equation of a Locus
  8. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  9. Mind Map

07 Statistics

  1. Measures of Central Tendency
    1. Mean
    2. Mode
    3. Median
  2. Measures of Dispersion
    1. Range
    2. Interquartile Range 1
    3. Interquartile Range 2
    4. Variance and Standard Deviation
  3. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  4. Mind Map

08 Circular Measure

  1. Radian
  2. Arc Length of a Circle
  3. Area of Sector of a Circle
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  5. Mind Map

09 Differentiation

  1. Differentiation
  2. First Derivatives for Polynomial Functions
  3. First Derivatives of the Product of Two Polynomials
  4. First Derivatives of the Quotient of Two Polynomials
  5. First Derivatives of Composite Function
  6. Gradients of Tangents, Equations of Tangents and Normals
  7. Second Order Differentiation, Turning Points, Maximum and Minimum Points
  8. Related Rates of Change
  9. Small Changes and Approximations
  10. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)
  11. Mind Map

Videos

  1. Technique of Differentiation
  2. Finding the Equation of Tangent
  3. Finding the Equation of Normal
  4. Finding the Maximum Value of a Quadratic Function
  5. Finding Maximum and Minimum Point – Second Derivative Test
  6. Differentiation – Rate of Change Example 1

10 Solution of Triangles

  1. Sine Rule
  2. Cosine Rule
  3. Areas of Triangles
  4. SPM Focus Practice, Paper 2 (with Solution)
  5. Mind Map

11 Index Number

  1. Index Number
  2. Composite Index
  3. SPM Focus Practice, Paper 2 (with Solution)
  4. Mind Map