Main Topics

1. Numbers & Operations
2. Fractions
3. Percentages
4. Decimals
5. Money
6. Time
7. Mass
8. Length
9. Space
10. Liquid Volume
11. Data Handling
12. Coordinates
13. Basic Geometry
14. Likelihood
15. Ration & Proportion

Form 1

1. Rational Numbers
2. Factors and Multiples
3. Squares, Square Roots, Cubes and Cube Roots
4. Ratios, Rates and Proportions
5. Algebraic Expressions
6. Linear Equations
7. And more

Form 2

1. Patterns and Sequences
2. Factorisation and Algebraic Fractions
3. Algebraic Formulae
4. Polygons
5. Circles
6. Three Dimensional Geometrical Shapes
7. And more

Form 3

1. Indices
2. Standard Form Trigonometric Ratios
3. Angles and Tangents of Circles
4. Loci in Two Dimensions
5. Plans and Elevations
6. Scales Drawings
7. And more

Form 4

1. Quadratic Functions and Equations in One Variable
2. Number Base
3. Logical Reasoning
4. Operations on Sets
5. Linear Inequalities in Two Variables
6. Graphs of Motion
7. And More

Form 5

1. Variations
2. Matrices
3. Insurance & Taxation (Consumer Mathematics)
4. Congruency, Enlargement and Combined Transformations
5. Measures of Dispersion for Grouped Data
6. Ratios and Graphs of Trigonometric Functions

Form 4

1. Functions
2. Quadratic Functions
3. Systems of Equations
4. Indices, Surds and Logarithms
5. Progression
6. Vectors
7. And more

Form 5

1. Circular Measure
2. Differentiation & Integration
3. Permutation and Combination
4. Trigonometric Functions
5. Probability Distribution

STPM Mathematics T (Pure Mathematics)

1. Numbers and Sets
2. Polynomials
3. Sequences and Series
4. Matrices
5. Coordinate Geometry
6. Functions
7. Differentiation & Integration 
8. Differential Equations
9. Trigonometry
10. Deductive Geometry
11. Vectors
12. Data Description
13. Probability
14. Discrete Probability Distributions
15. Continuous Probability Distributions

STPM Mathematics S (Statistical Mathematics)

1. Numbers and Sets
2. Polynomials
3. Sequences and Series
4. Matrices
5. Coordinate Geometry
6. Functions
7. Differentiation & Integration
8. Linear Programming
9. Network Planning
10. Data Description
11. Probability
12. Sampling & Estimation
13. Correlation & Regression
14. Time Series & Index Number

Main Topics

1. Logic & Proof
2. Complex Numbers
3. Matrices
4. Recurrence Relations
5. Functions
6. Differentiation & Integration
7. Power Series
8. Differential Equations
9. Number Theory
10. Graph Theory
11. Transformation Geometry
12. Coordinate Geometry
13. Sampling and Estimation
14. Hypothesis Testing
15. χ² Tests
16. Correlation and Regression

Year 1

• Number, algebra, statistics and geometry
• Number, algebra and graphs
• Mensuration, probability and statistics
• Trigonometry, geometry and statistics
• Algebra and graphs
• Geometry and vectors

Year 2

• Number, algebra, graphs and geometry
• Number, probability, algebra, geometry and trigonometry
• Algebra and graphs
• Trigonometry, vectors, geometry, statistics, algebra and graph

Year 1

• Functions
• Quadratic equations and inequalities
• Indices, surds and polynomials
• Simultaneous equations
• Logarithms and exponential functions
• Straight line graphs and vectors
• Permutations, combinations and series

Year 2

• Permutations, combinations and series (continued)
• Trigonometry
• Differentiation
• Integration

Pure Mathematics 1 (Paper 1)

1. Quadratics
2. Functions
3. Coordinate geometry
4. Circular measure
5. Trigonometry
6. Series
7. Differentiation
8. Integration

Pure Mathematics 2 (Paper 2)

1. Algebra
2. Logarithmic and exponential functions
3. Trigonometry
4. Differentiation
5. Integration
6. Numerical solution of equations

Pure Mathematics 3 (Paper 3)

1. Algebra
2. Logarithmic and exponential functions
3. Trigonometry
4. Differentiation
5. Integration
6. Numerical solution of equations
7. Vectors
8. Differential equations
9. Complex numbers

Mechanics

1. Forces & equilibrium
2. Kinematics of motion in a straight line
3. Momentum
4. Newton’s laws of motion
5. Energy, work and power

Probability & Statistics 1

1. Representation of data
2. Permutations and combinations
3. Probability
4. Discrete random variables
5. The normal distribution

Probability & Statistics 2

1. The Poisson distribution
2. Linear combinations of random variables
3. Continuous random variables
4. Sampling and estimation
5. Hypothesis tests

Further Pure Mathematics 1

1. Roots of polynomial equations
2. Rational functions and graphs
3. Summation of series
4. Matrices
5. Polar coordinates
6. Vectors
7. Proof by induction

Further Pure Mathematics 2

1. Hyperbolic functions
2. Matrices
3. Differentiation
4. Integration 
5. Complex numbers
6. Differential equations

Further Mechanics

1. Motion of a projectile 
2. Equilibrium of a rigid body
3. Circular motion
4. Hooke’s law
5. Linear motion under a variable force
6. Momentum

Further Probability & Statistics

1. Continuous random variables 
2. Inference using normal and t-distributions
3. χ² tests
4. Non-parametric tests
5. Probability generating functions

Analysis and Approaches (SL)

1. Number & Algebra
2. Functions
3. Geometry & Trigonometry
4. Probability & Statistics
5. Calculus
6. Toolkit & Exploration

Applications and Interpretation (SL)

1. Number & Algebra
2. Functions
3. Geometry & Trigonometry
4. Probability & Statistics
5. Calculus
6. Toolkit & Exploration

Analysis and Approaches (HL)

1. Number & Algebra
2. Functions
3. Geometry & Trigonometry
4. Probability & Statistics
5. Calculus
6. Toolkit & Exploration

Applications and Interpretation (HL)

1. Number & Algebra
2. Functions
3. Geometry & Trigonometry
4. Probability & Statistics
5. Calculus
6. Toolkit & Exploration

Sections

1. Algebra and functions – 25 mins.
2. Geometry Statistics – 20 mins.
3. Probability and Data analysis – 20 mins.