SPM Add Maths

Form 4

Chapter 1: Functions

  • A1.1.1Relations
  • A1.1.2Function
  • A1.1.3Composite Functions
  • A1.1.4Inverse Functions

Chapter 2: Quadratic Equations

  • A2.2.1The Quadratic Equation and Its Roots
  • A2.2.2Completing the Square and the Quadratic Formula
  • A2.2.3Forming Quadratic Equations from Given Roots
  • A2.2.4The Discriminant of a Quadratic Equation

Chapter 3: Quadratic Functions

  • A3.3.1Quadratic Functions and Their Graphs
  • A3.3.2Sketching the Graph of a Quadratic Function
  • A3.3.3Quadratic Inequalities

Chapter 4: Simultaneous Equations

  • A4.4.1Simultaneous Equations

Chapter 5: Indices and Logarithms

  • A5.5.1Laws of Indices
  • A5.5.2Laws of Logarithms
  • A5.5.3Logarithms and Its Base
  • A5.5.4Applications of Logarithms and Indices

Chapter 6: Coordinate Geometry

  • G1.6.1Distance and Division
  • G1.6.2The Area of Polygons
  • G1.6.3Intercept and Gradient of a Straight Line
  • G1.6.4Equation of a Straight Line
  • G1.6.5Parallel Lines and Perpendicular Lines
  • G1.6.6Equation of Locus

Chapter 7: Statistics

  • S1.7.1Mean, Median and Mode for Ungrouped Data
  • S1.7.2Mean, Median and Mode for Grouped Data
  • S1.7.3Solving Problems Involving Measures of Central Tendency
  • S1.7.4The Range and Interquartile Range
  • S1.7.5The Variance and Standard Deviation
  • S1.7.6Solving Problems Involving Measures of Dispersion

Chapter 8: Circular Measures

  • T1.8.1Radian and length of an arc
  • T1.8.2Radian and perimeter of segments of circles
  • T1.8.3Radian and Area of sector of a circle

Chapter 9: Differentiation

  • C1.9.1The Derivative of a Function
  • C1.9.2Derivative of Polynomial Functions
  • C1.9.3Differentiation Techniques
  • C1.9.4Tangent and Normal at a Point on a Curve
  • C1.9.5Maximum and Minimum Points of a Curve
  • C1.9.6Rates of Change and Small Changes
  • C1.9.7Second Order Differentiation

Chapter 10: Solution of Triangles

  • AST1.10.1Sine Rule
  • AST1.10.2Cosine Rule
  • AST1.10.3Solving Problems Involving the Sine and Cosine Ruless
  • AST1.10.4Area of Triangles and Three Dimensional Objects

Form 5

Chapter 1: Progressions

  • 6.1.1 Arithmetic Progressions
  • A6.1.2 Sum of Arithmetic Progressions
  • A6.1.3 Geometric Progressions
  • A6.1.4 The Sum to the First n Terms of Geometric Progressions

Chapter 2: Linear Law

  • A7.2.1 Lines of Best Fit
  • A7.2.2 Reducing Non-linear Relations to Linear Form
  • A7.2.3 Application of Linear Law to Non-linear Relations

Chapter 3: Integration

  • C2.3.1 Indefinite Integrals
  • C2.3.2 Finding the Equations of Curves from Gradient Functions
  • C2.3.3 Integration by Substitution
  • C2.3.4 Definite Integrals
  • C2.3.5 Areas Under a Curve and The x-axis
  • C2.3.6 Areas Under a Curve and The y-axis or a Straight Line
  • C2.3.7 Volumes of Revolution

Chapter 4: Vectors

  • G2.4.1 Vectors
  • G2.4.2 Equal and Parallel Vectors
  • G2.4.3 Addition of Vectors
  • G2.4.5 Vectors in the Cartesian Plane
  • G2.4.6 Operations on Vectors
  • G2.4.7 Solving Problems Involving Vectors

Chapter 5: Trigonometric Functions

  • T2.5.1 Positive and Negative Angles
  • T2.5.2 The 6 Trigonometric Functions
  • T2.5.3 Trigonometric Functions
  • T2.5.4 Solving Trigonometric Equations
  • T2.5.5 Graphs of Sine Cosine and Tangent
  • T2.5.6 Solving Trigonometric Equations Using Drawn Graphs
  • T2.5.7 Trigonometric Identities
  • T2.5.8 Addition Formulae and Double-Angle Formulae

Chapter 6: Permutations and Combinations

  • S2.6.1 Permutations
  • S2.6.2 Permutations of n Different Objects Taken r at a Time for Given Conditions
  • S2.6.3 Combinations

Chapter 7: Probability

  • S3.7.1 Probability
  • S3.7.2 Mutually Exclusive and Independent Events

Chapter 8: Probability Distributions

  • S4.8.1 Binomial Distribution and Its Graph
  • S4.8.2 Solving Problems Involving Binomial Distributions
  • S4.8.3 Normal Distribution
  • S4.8.4 Standard Normal Distribution and The z-score
  • S4.8.5 Solving Problems Involving Normal Distributions

Chapter 9: Motion Along a Straight Line

  • AST2.9.1 Displacement and Distance
  • AST2.9.2 Velocity and Displacement
  • AST2.9.3 Acceleration and Velocity
  • AST2.9.4 Solving Problems Involving Motion Along a Straight Line

Chapter 10: Linear Programming

  • ASS2.10.1 Linear Inequalities
  • ASS2.10.2 Solving Problems Involving Linear Programming

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