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How Are the IB Maths Exam Papers Structured?

Answered by RevisionPrep's IB Educators

Answered by RevisionPrep's IB Educators. Both Mathematics AA and AI split into Paper 1 (no calculator), Paper 2 (calculator), and — HL only — Paper 3, a problem-solving paper worth 20% of the final grade. SL sits two 90-minute papers; HL adds a 60-minute Paper 3. Here's how marks, timing and difficulty break down.

Exam & Syllabus Structure

How are the IB Maths exam papers structured?

Both Mathematics AA and AI split into Paper 1 (no calculator), Paper 2 (calculator), and — for HL only — Paper 3, a longer problem-solving paper. SL sits two 90-minute papers worth 40% each; HL sits two 120-minute papers plus a 60-minute Paper 3, weighted 30/30/20. The IA makes up the remaining 20% at both levels.

This structure applies identically to Mathematics: analysis and approaches and Mathematics: applications and interpretation — the assessment model has been in place since first exams in 2021 and remains current. What differs between AA and AI is the content of the questions, not the number of papers or timings.

What's the difference between Paper 1, Paper 2 and Paper 3 in IB Maths?

Paper 1 tests pure mathematical reasoning without a calculator — expect algebraic manipulation and proof-style working. Paper 2 allows a graphic display calculator and leans on modelling, statistics and technology-based questions. Paper 3 (HL only) is two extended, unfamiliar-context problems worth 55 marks, rewarding sustained problem-solving over quick recall.

Is a calculator allowed in IB Maths exams?

No — Paper 1 is calculator-free for both SL and HL, testing whether you can handle algebra and functions by hand. Paper 2 and Paper 3 both require an approved graphic display calculator (GDC). The IB publishes an approved GDC list each session, and using an unapproved model can genuinely cost you marks.

How long is each IB Maths paper and how many marks is it worth?

SL Paper 1 and Paper 2 each run 90 minutes for 80 marks. HL Paper 1 and Paper 2 each run 120 minutes for 110 marks, and HL Paper 3 adds 60 minutes for 55 marks. Total exam time is 3 hours at SL and 5 hours at HL.

Do the papers test specific topics, or can any topic appear anywhere?

No single paper is locked to one topic — any of the five syllabus topics (Number & Algebra, Functions, Geometry & Trigonometry, Statistics & Probability, Calculus) can appear on any paper. Paper 3, though, always draws two connected extended problems that often blend two or three topics into one investigation-style question.

Difficulty & Grades

Is Paper 3 only for HL students?

Yes — Paper 3 exists only for Higher Level students in both Maths AA and Maths AI; SL candidates never sit it. It's worth 20% of the final HL grade and consists of two compulsory extended-response questions, each building through several sub-parts toward an unfamiliar or exploratory result.

Which paper is hardest, Paper 1 or Paper 2?

In my experience marking mocks, most students find Paper 1 harder because there's no calculator to fall back on for arithmetic slips or checking a graph — a small early error compounds fast. Paper 2 feels more accessible since technology handles the heavy computation, but time pressure catches students who over-rely on the GDC.

What are the grade boundaries like for IB Maths?

Grade boundaries shift slightly each session, but as a rough guide a Level 7 in Maths AA HL often needs somewhere around 75-80% of total marks, with AI boundaries sometimes sitting a touch lower given its more applied focus. Always check the exact boundaries published with your results — they aren't fixed year to year.

Worked example: HL's three exam papers total 275 raw marks (110 + 110 + 55). If a particular session's grade 7 boundary sits at 75%, that's roughly 206 combined marks across Papers 1-3 — before the IA's separate 20% weighting is factored in. Never assume last year's boundary applies to your session.

Is Maths AA harder than Maths AI?

Maths AA is generally more abstract and proof-heavy, especially at HL where calculus and algebraic rigour dominate. Maths AI leans on statistics, modelling and technology, which some students find more intuitive but no less demanding. Neither is objectively easier — the right choice depends on your strengths, not on chasing an easier grade.

FeatureMaths AAMaths AI
FocusPure algebra, proof, calculusStatistics, modelling, technology
Typical fitEngineering, physics, pure mathsEconomics, biology, business
Calculator relianceLowerHigher
Paper structureIdentical (1, 2, HL Paper 3)Identical (1, 2, HL Paper 3)

How to Revise for Each Paper

How should I revise for IB Maths Paper 3?

Treat Paper 3 like a mini investigation, not a set of recall questions — work specifically through past papers from the current syllabus, since this paper's style has only existed since first exams in 2021. Practise building an answer step-by-step, because each sub-part usually feeds the next one.

Worked example — a typical Paper 3 flow:

  1. Part (a) asks you to find a specific value or pattern from given data.
  2. Part (b) asks you to generalise that pattern algebraically.
  3. Part (c) asks you to prove or justify the general result using calculus or algebra.

Get part (a) wrong and you'll likely lose marks in (b) and (c) too, even with correct method — so double-check early sub-parts before moving on.

How much do past papers actually help with IB Maths revision?

Hugely — but only if you review them properly. Working through past papers under timed conditions shows you the command terms examiners actually use — "show that", "hence", "justify" — and where mark schemes reward method over a bare final answer. On RevisionPrep, topic-organised practice questions let you drill weak areas before attempting full timed papers.

Checklist before your next mock:

  1. Have you sat one full timed paper at each level (1, 2, and 3 if HL) in the last two weeks?
  2. Did you mark it against the actual mark scheme, not just the final answer?
  3. Have you logged every lost mark by topic, not just by paper?
  4. Did you redo the questions you got wrong, unaided, a week later?

What's the biggest mistake students make on Paper 2?

The most common mistake I see is trusting the GDC's output without checking it makes sense — entering a function wrong and never noticing the graph looks impossible. Quick tip: always sanity-check a calculator answer against a rough sketch or estimate before writing it down; examiners can't award marks for a plausible-looking wrong number.

Comparisons & Choices

Should my child take Maths AA or AI, and does that change the exam structure?

No — the exam structure (Paper 1, Paper 2, and HL's Paper 3) is identical whether your child takes Maths AA or Maths AI; only the content differs. AA suits students likely to pursue engineering, physics or pure maths at university; AI suits those heading toward economics, biology or business-related degrees.

Does the internal assessment (IA) affect the final grade much?

Yes — the Internal Assessment, a single mathematical exploration, counts for 20% of the final grade at both SL and HL, the same weighting as HL's Paper 3. A weak IA can pull down an otherwise strong exam performance, so it deserves as much planning time as any single written paper.

IB Maths Paper Structure: SL vs HL

PaperSL time / marksHL time / marksWeighting (SL / HL)
Paper 1 (no calculator)90 min / 80 marks120 min / 110 marks40% / 30%
Paper 2 (calculator)90 min / 80 marks120 min / 110 marks40% / 30%
Paper 3 (calculator, HL only)—60 min / 55 marks— / 20%
Internal Assessment20%20%20% / 20%

For topic-by-topic practice questions, worked mark schemes and full timed Mock Papers for Maths AA and AI, explore the question bank and Revision Notes on revisionprep.com.

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