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IB Maths practice exam generator (AA & AI, SL & HL)

ExamTeX generates printable IB Mathematics mock papers for both routes — Analysis & Approaches and Applications & Interpretation, at Standard and Higher Level. Papers follow the real structure: AA Paper 1 without calculator and Paper 2 with, AI with technology throughout, and the HL Paper 3 extended problem-solving tasks. Upload your unit notes or a past paper and ExamTeX matches the command terms, mark allocations, and answer conventions (exact values versus three significant figures) IB examiners mark to, with a complete mark scheme for every paper.

Paper 1

AA: no calculator permitted — tests algebraic fluency and exact-value work. AI: technology permitted. Section A short questions plus Section B extended questions.

Marks: SL 80 / HL 110 marksTime: SL 1h 30m / HL 2hWeight: SL 40% · HL 30%

Paper 2

Graphing calculator required for both routes. Same Section A / Section B structure, with questions designed around technology use.

Marks: SL 80 / HL 110 marksTime: SL 1h 30m / HL 2hWeight: SL 40% · HL 30%

Paper 3 (HL only)

Two extended problem-solving questions that develop an unfamiliar scenario step by step. The paper most students under-practice.

Marks: 55 marksTime: 1hWeight: HL 20%

Sample question with mark scheme

AA SL, Paper 1 (no calculator): The function ff is defined by f(x)=ln⁡(3x−2)f(x) = \ln(3x - 2) for x>23x > \frac{2}{3}. (a) Find f−1(x)f^{-1}(x). [3] (b) The graph of y=f(x)y = f(x) intersects the line y=1y = 1 at point AA. Find the exact xx-coordinate of AA. [3]
Show mark scheme
(a) M1 for swapping x and y and attempting to solve x = ln(3y − 2); A1 for eˣ = 3y − 2; A1 for f⁻¹(x) = (eˣ + 2)/3. (b) M1 for setting ln(3x − 2) = 1; A1 for 3x − 2 = e; A1 for x = (e + 2)/3 — exact value required; a decimal answer loses the final mark on a non-calculator paper.

Every generated paper includes a full mark scheme like this one.

Common mistakes IB Maths students make

  • Giving a decimal where an exact value is required on AA Paper 1 — non-calculator papers expect answers in terms of $e$, $\pi$, surds, or fractions.
  • Rounding to fewer than three significant figures (or rounding intermediate steps) on calculator papers — the IB's accuracy penalty is applied consistently.
  • Under-practicing HL Paper 3: its multi-part scaffolded structure rewards students who have rehearsed sustained problem-solving, and punishes those who have only drilled short questions.
  • Ignoring command terms — "write down" means no working is needed, while "show that" means every algebraic step must appear.

Frequently Asked Questions

Does ExamTeX cover both AA and AI?

Yes. Specify Analysis & Approaches or Applications & Interpretation, and SL or HL, when generating. AA papers emphasize algebraic technique and proof, including a no-calculator Paper 1; AI papers center on modelling, statistics, and technology use throughout.

Can it generate HL Paper 3 practice?

Yes — Paper 3-style extended problem-solving tasks that develop a scenario across scaffolded parts, with a mark scheme for each step. Since Paper 3 is the format students see least during the course, generated practice here has outsized value.

Does the notation match the IB style?

Papers compile through LaTeX, so notation renders in print quality, and mark schemes follow IB conventions — method and accuracy marks, exact-value requirements on non-calculator papers, and the three-significant-figure rule on calculator papers.

Does it use the current IB Mathematics syllabus?

Yes — the AA/AI route structure with first exams from 2021. Upload your own unit notes or syllabus PDF and generated questions stay within your route and level's topic list.

How is this different from Revision Village?

Revision Village curates real past-paper questions by topic — genuinely useful, use it. ExamTeX generates unlimited fresh papers from your specific notes, so you can keep sitting full mocks in the right format after exhausting the question banks, targeted at your weakest units.

Or generate other study materials

IB Maths FlashcardsIB Maths Study PodcastIB Maths Summary

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