Question Banks

IB Math Question Banks — Practice by Course and Topic

These question banks are the practice resource I use with my own students. Every question is taken from official IB past papers and organised by course and topic, so you can drill exactly what you need to work on rather than working through a random mix of questions. All questions come with worked solutions and mark scheme references.

Why Topic-Organised Practice Matters

Doing full past papers is essential for exam preparation, but it is not the most efficient way to improve on a specific weak topic. If a student is losing marks on integration by parts or hypothesis testing, doing a full past paper gives them perhaps two or three questions on that topic across 120 minutes of work. Drilling the question bank for that topic gives them twenty questions in the same time — and that repetition is what builds fluency.

I use these question banks in sessions alongside full past papers: past papers to build exam technique and time management, question banks to close specific topic gaps. Used together, they are the most effective way to prepare for IB Math exams.

Question Banks by Course

IB Math AI HL Question Bank

The AI HL question bank covers all five topic areas from the Applications & Interpretation HL syllabus:

  • Number & Algebra — sequences, financial mathematics, logarithms, complex numbers
  • Functions — modelling with functions, regression, transformation of graphs
  • Geometry & Trigonometry — Voronoi diagrams, graph theory algorithms, 3D geometry
  • Statistics & Probability — hypothesis testing, Markov chains, transition matrices, probability distributions
  • Calculus — differentiation and integration in applied contexts, differential equations

IB Math AA HL Question Bank

The AA HL question bank covers all five topic areas from the Analysis & Approaches HL syllabus:

  • Number & Algebra — proof by induction, complex numbers, binomial theorem, sequences and series
  • Functions — graph sketching, composite and inverse functions, rational functions, transformations
  • Geometry & Trigonometry — vectors in 3D, lines and planes, trigonometric identities, double angle formulas
  • Statistics & Probability — normal distribution, binomial distribution, Bayes theorem, unbiased estimators
  • Calculus — integration techniques, differential equations, Maclaurin series, related rates

IB Math AA SL Question Bank

The AA SL question bank covers the Analysis & Approaches SL syllabus by topic:

  • Number & Algebra — arithmetic and geometric sequences, logarithms, binomial theorem
  • Functions — linear, quadratic, exponential, logarithmic, and trigonometric functions
  • Geometry & Trigonometry — sine and cosine rules, circle geometry, vectors in 2D
  • Statistics & Probability — descriptive statistics, probability, normal distribution, correlation
  • Calculus — differentiation, integration, areas and volumes, kinematics

IB Math AI SL Question Bank

The AI SL question bank covers the Applications & Interpretation SL syllabus by topic:

  • Number & Algebra — financial mathematics, arithmetic sequences, standard form, currency conversions
  • Functions — linear and quadratic modelling, exponential growth and decay, regression lines
  • Geometry & Trigonometry — triangle trigonometry, surface area and volume, coordinate geometry
  • Statistics & Probability — frequency tables, correlation and regression, hypothesis testing, probability distributions
  • Calculus — differentiation and integration in applied contexts, optimisation

How to Use These Question Banks Effectively

The most effective way to use topic question banks is to combine them with full past paper practice:

  1. Do a full past paper under timed conditions and mark it honestly against the mark scheme.
  2. Identify the two or three topics where you lost the most marks.
  3. Work through the question bank for those topics — not just getting the answers right, but understanding each step of the working and what the mark scheme awarded marks for.
  4. Do another full paper and check whether those topics have improved.

This cycle — diagnose, drill, retest — is what I use in every exam preparation session. It is more efficient than either full papers alone or topic practice alone.

Need a Tutor to Guide Your Practice?

Question banks and past papers are valuable self-study resources, but for students who are significantly below their target grade, working through them with a specialist tutor is much faster. I can identify why a student is getting a question type wrong — whether it is a conceptual gap, a technique error, or a misunderstanding of what the IB mark scheme wants — and correct it in the session rather than leaving the student to guess from the worked solution. Contact me to book a session →

See also the exam tips and strategies page and the mock exams for full paper practice resources.