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IB Mathematics: Applications and Interpretation HL

IB Maths AI HL Questions by Topic

Every IB Maths AI HL topic in the question bank, grouped by syllabus unit. Each topic page has free step-by-step worked examples, the key formulas, and exam-style practice questions with IB mark schemes — written and checked by an IB Maths examiner.

21 topics
418 questions
63 worked examples

Unit 1: Number and Algebra

Complex Numbers and Argand Diagrams 29 questions · 3 worked
Eigenvalues, Eigenvectors and Markov Chains 28 questions · 3 worked
Logs and Infinite Geometric Series 26 questions · 3 worked
Matrices, Determinants and Inverses 21 questions · 3 worked

Practise all of Unit 1 →

Unit 2: Functions

Advanced Modelling 21 questions · 3 worked
Composite, Inverse and Transformations 17 questions · 3 worked
Scaling and Linearising Data 19 questions · 3 worked

Practise all of Unit 2 →

Unit 3: Geometry and Trigonometry

Graph Theory 33 questions · 3 worked
Scalar Products and Voronoi 19 questions · 3 worked
Vectors and Kinematics 25 questions · 3 worked

Practise all of Unit 3 →

Unit 4: Statistics and Probability

Chi-Square Goodness of Fit, Independence and Error Types 20 questions · 3 worked
Confidence Intervals and Hypothesis Testing for Means 17 questions · 3 worked
Data Collection and Non-Linear Regression 17 questions · 3 worked
Linear Combinations of Random Variables & the Central Limit Theorem 12 questions · 3 worked
Markov Chains and Transition Matrices 13 questions · 3 worked
Random Variables and Poisson 17 questions · 3 worked

Practise all of Unit 4 →

Unit 5: Calculus

Advanced Differentiation and Related Rates 19 questions · 3 worked
Advanced Integration and Kinematics 17 questions · 3 worked
Differential Equations and Eulers Method 19 questions · 3 worked
Phase Portraits 12 questions · 3 worked
The Second Derivative and Concavity 17 questions · 3 worked

Practise all of Unit 5 →

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Other courses: IB Maths AA SL · IB Maths AI SL · IB Maths AA HL