Form 4

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SPM Mathematics (Model Test Paper)

01 Standard Form

  1. Significant Figures
    1. Significant Figures Part 1
    2. Significant Figures Part 2
  2. Standard Form
    1. Standard Form Part 1
    2. Standard Form Part 2
  3. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)


02 Quadratic Expressions and Equations

  1. Quadratic Expression
  2. Factorisation of Quadratic Expressions
  3. Quadratic Equations
  4. Roots of Quadratic Equations
  5. SPM Focus Practice (with Solution)
    1. Long Questions (Paper 2)


03 Sets

  1. Set
  2. Subset, Universal Set and the Complement of a Set
    1. Subsets
    2. Universal Set
    3. Complement of a Set
  3. Operations on Sets
    1. Intersection of Sets
    2. Union of Sets
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)


04 Mathematical Reasoning

  1. Statements
  2. Quantifiers “All” and “Some”
  3. Operations on Statements
  4. Implication
  5. Argument
  6. Deduction and Induction
  7. SPM Focus Practice (with Solution)
    1. Long Questions (Paper 2)


05 The Straight Line

  1. Gradient of a Straight Line
  2. Gradient of the Straight Line in Cartesian Coordinates
  3. Intercepts
  4. Equation of a Straight Line
  5. Parallel Lines
  6. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)


06 Statistics

  1. Class Interval
  2. Mode and Mean of Grouped Data
  3. Histograms with Class Interval of the Same Size
  4. Frequency Polygons
  5. Cumulative Frequency
  6. Measures of Dispersion
  7. SPM Focus Practice(with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)


07 Probability I

  1. Sample Space
  2. Events
  3. Probability of an Event
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)


08 Circles III

  1. Tangents to a Circle
  2. Angle Between Tangent and Chord
  3. Common Tangents
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)


09 Trigonometry II

  1. Values of Sine, Cosine and Tangent of an Angle (Part 1)
  2. Values of Sine, Cosine and Tangent of an Angle (Part 2)
  3. Graphs of Sine, Cosine and Tangent
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)


10 Angle of Elevation and Angle of Depression

  1. Angle of Elevation and Angle of Depression
  2. Solving Problems Involving Angles of Elevation and Depression
  3. SPM Focus Practice(with Solution)
    1. Short Questions (Paper 1)


11 Lines and Planes in 3-Dimensions

  1. Angle between Lines and Planes
  2. Angle between Two Planes


Form 5

01 Number Base

  1. Number in Base Two, Eight and Five (Part 1)
  2. Number in Base Two, Eight and Five (Part 2)
  3. Number in Base Two, Eight and Five (Part 3)
  4. Number in Base Two, Eight and Five (Part 4)
  5. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)

02 Graph of Functions II

03 Transformation III

04 Matrices

  1. Matrices
  2. Equal Matrices
  3. Addition and Subtraction of Matrices
  4. Multiplication of a Matrix by a Number
  5. Multiplication of Two Matrices
  6. Identity Matrix
  7. Inverse Matrix
  8. Solving Simultaneous Linear Equations
  9. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)

05 Variations

  1. Direct Variation
    1. Direct Variation Part 1
    2. Direct Variation Part 2
  2. Inverse Variation
  3. Joint Variation
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)

06 Gradient and the Area under a Graph

  1. The Quantity Represented by the Gradient of a Graph
    1. Distance-Time Graph
    2. Speed-Time Graph
  2. The Quantity Represented by the Area under a Graph
  3. SPM Focus Practice (with Solution)
    1. Long Questions (Paper 2)

07 Probability II

  1. The Probability of an Event
  2. The Probability for the Complement of an Events
  3. The Probability of the Combined Event
    1. Finding the Probability of a Combined Event by Listing the outcomes
    2. Finding the Probability of Combined Events (a) A or B (b) A and B
  4. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)

08 Bearing

  1. Bearing

09 The Earth as a Sphere

  1. Longitudes
  2. Latitudes
  3. Location of a Place
  4. Distance on the Surface of the Earth
    1. Distance between Two Points Along a Great Circle
    2. Distance between Two Points Along a Parallel of Latitude
    3. Shortest Distance between Two Points
  5. SPM Focus Practice (with Solution)
    1. Short Questions (Paper 1)
    2. Long Questions (Paper 2)

10 Plan and Elevation

  1. Orthogonal Projection
  2. Plan and Elevation
  3. SPM Focus Practice (with Solution)
    1. Long Questions (Paper 2)