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IB Mathematics

The IB Mathematics program is divided into two pathways: Analysis & Approaches (AA) and Applications & Interpretation (AI), each available at both Higher Level (HL) and Standard Level (SL). In Analysis & Approaches, students focus on algebra, functions, trigonometry, calculus, and proof, building strong foundations for mathematics, engineering, and physical sciences. In Applications & Interpretation, emphasis is placed on statistics, probability, modeling, and the use of technology in solving real-world problems

Topic 1

Topic 1. Number and algebra

1.1 Arithmetic Sequences

1.2 Geometric Sequences

1.3 Financial Applications of Sequences

1.4 Exponents & Logarithms

1.5 Binomial Theorem & Counting

1.6 Complex Numbers

1.7 Proof Methods

1.8 Matrices & Eigenvalues

Topic 2

Topic 2. Function

2.1 Straight Lines

2.2 Functions & Inverses

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2.3 Quadratic & Rational Functions

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2.4 Polynomial Functions

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2.5 Transformations of Graphs

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2.6 Exponential & Logarithmic Functions

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2.7 Mathematical Models

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2.8 Modulus Functions & Inequalities

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Topic 3

Topic 3. Geometry and trigonometry

3.1 3D Geometry and Trigonometry (Right & Non-Right Triangles)

3.2 Radian Measure & Arc Length

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3.3 Trigonometric Identities & Equations

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3.4 Geometry & Voronoi Diagrams

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3.5 Circular Functions & Transformations

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3.6 Vectors

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3.7 Graph Theory

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3.8 Planes & Intersections

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Topic 4

Topic 4. Probability and statistics

4.1 Descriptive Statistics

4.2 Correlation & Regression

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4.3 Probability Basics

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4.4 Discrete Random Variables

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4.5 Normal Distribution

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4.6 Hypothesis Testing (Chi-square & t-test)

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4.7 Advanced Probability & Distributions

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Topic 5

Topic 5. Calculus

5.1 Derivatives & Graph Behaviour

5.2 Differentiation Rules

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5.3 Tangents, Normals & Extrema

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5.4 Integration Techniques

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5.5 Kinematics

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5.6 Implicit Differentiation & Rates of Change

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5.7 Differential Equations

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5.11 Maclaurin Series

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More IB Mathematics

Questionbank

Questionbank

Find all the questions you need, categorized by topic and difficulty, complete with solutions for each. 
Practice Exams

Practice Exams

These questions will simulate real exams, enhancing your problem-solving skills and boosting your score, helping you achieve a 7 in the exam.