International Baccalaureate (IB)IB Diploma ProgrammeMathematics: Applications and Interpretation (SL & HL)

IB Maths Applications & Interpretation past papers (AI SL & HL)

IB Mathematics: Applications and Interpretation is the modelling, statistics and technology-focused DP maths course. A graphic display calculator is required in every paper at both levels, so the assessment is less about exact algebraic manipulation and more about choosing a model, using technology efficiently and interpreting results in context.

Tiers: Standard Level (SL) and Higher Level (HL)

Paper structure

SL Paper 1

  • 1 hour 30 minutes
  • 80 marks
  • Calculator

Short-response questions across the SL syllabus, GDC required.

SL Paper 2

  • 1 hour 30 minutes
  • 80 marks
  • Calculator

Extended-response questions across the SL syllabus, GDC required.

HL Paper 1

  • 2 hours
  • 110 marks
  • Calculator

Short-response questions across the HL syllabus, GDC required.

HL Paper 2

  • 2 hours
  • 110 marks
  • Calculator

Extended-response questions across the HL syllabus, GDC required.

HL Paper 3

  • 1 hour
  • 55 marks
  • Calculator

Two extended problem-solving and modelling tasks built from linked parts.

  • A graphic display calculator is required in every AI paper — there is no non-calculator paper.
  • Higher Level adds Paper 3, a one-hour paper of two extended modelling investigations.
  • All candidates also complete the mathematical exploration (internal assessment).

Paper structure reflects the current specification. Grade boundaries and exam dates change every series — always check the board's published documents for your own series.

How to revise with past papers

  1. 1. Make the GDC second nature

    Regression, distributions, solving equations and graphing must be fast and accurate — GDC fluency is directly assessed in every AI paper.

  2. 2. Practise interpreting, not just calculating

    AI mark schemes award marks for explaining what a value means in context; a bare number rarely scores full marks.

  3. 3. Learn the modelling cycle

    Choose a model, fit it, test it and comment on its limitations — this structure recurs throughout Paper 2 and HL Paper 3.

  4. 4. Time the extended-response papers

    Paper 2 questions are long and linked; practise under full timing so you do not run out of time on the final parts.

Common questions

Is a calculator allowed in IB Maths AI?
Yes. A graphic display calculator is required in every paper at both SL and HL — AI has no non-calculator paper.
How many papers are there in IB Maths AI?
SL has two papers; HL has three, adding a one-hour extended problem-solving paper.
Is AI easier than AA?
It is different rather than easier. AI demands strong modelling, statistics, technology use and interpretation, while AA demands more algebra and proof.
Does AI HL prepare me for university maths?
AI HL suits data-heavy, economics, geography, design and social-science routes. Maths-heavy degrees such as engineering, physics and mathematics usually prefer AA HL — check each course's requirements.

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