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  1. Subjects
  2. Maths AI

IB Mathematics: Applications and Interpretation

Modelling, statistics and technology, for students who want to use mathematics to describe the real world.

  • Group 5, mathematics
  • SL and HL
  • First assessment 2021

What Augment has for Maths AI

Counted from what is published today. Each part of the syllabus below links to its own page once something is on it.
Exam-style questions
1,850
Notes pages
95
Glossary terms
876
Counted on 20 October 2026

The formula booklet for Maths AI is free to read, with every entry explained.Open the formula booklet

The Maths AI syllabus

5 topics and 78 subtopics, first assessment 2021. HL is everything here; 39 parts marked HL only are left out at SL.

Counts beside each line are what is published for it today.

  1. 1Number and algebra535 questions · notes

    1. 1.1Scientific notation40 questions · notes
    2. 1.2Arithmetic sequences and series36 questions · notes
    3. 1.3Geometric sequences and series70 questions · notes
    4. 1.4Financial applications of geometric sequences45 questions · notes
    5. 1.5Exponents and introduction to logarithms29 questions · notes
    6. 1.6Approximation and error82 questions · notes
    7. 1.7Amortisation and annuities30 questions · notes
    8. 1.8Equations and systems using technology76 questions · notes
    9. 1.9Laws of logarithmsHL only49 questions · notes
    10. 1.10Rational exponentsHL only22 questions · notes
    11. 1.11Infinite geometric seriesHL only25 questions · notes
    12. 1.12Complex numbersHL only40 questions · notes
    13. 1.13Polar and Euler formHL only34 questions · notes
    14. 1.14MatricesHL only47 questions · notes
    15. 1.15Eigenvalues and eigenvectorsHL only56 questions · notes
  2. 2Functions414 questions · notes

    1. 2.1Equations of straight lines60 questions · notes
    2. 2.2Functions, domain and range30 questions · notes
    3. 2.3Graphing functions with technology33 questions · notes
    4. 2.4Key features of graphs53 questions · notes
    5. 2.5Modelling with functions195 questions · notes
    6. 2.6The modelling process27 questions · notes
    7. 2.7Composite and inverse functionsHL only28 questions · notes
    8. 2.8Transformations of graphsHL only26 questions · notes
    9. 2.9Further modellingHL only73 questions · notes
    10. 2.10Scaling very large and small numbers using logarithmsHL only31 questions · notes
  3. 3Geometry and trigonometry492 questions · notes

    1. 3.1Volume and surface area in three dimensions104 questions · notes
    2. 3.2Trigonometry in triangles85 questions · notes
    3. 3.3Applications of trigonometry53 questions · notes
    4. 3.4Arcs and sectors31 questions · notes
    5. 3.5Perpendicular bisectors47 questions · notes
    6. 3.6Voronoi diagrams36 questions · notes
    7. 3.7Radian measureHL only29 questions · notes
    8. 3.8The unit circle and trigonometric equationsHL only39 questions · notes
    9. 3.9Matrix transformationsHL only34 questions · notes
    10. 3.10VectorsHL only48 questions · notes
    11. 3.11Vector equations of linesHL only30 questions · notes
    12. 3.12Vectors in kinematicsHL only33 questions · notes
    13. 3.13Scalar and vector productsHL only47 questions · notes
    14. 3.14Graph theoryHL only48 questions · notes
    15. 3.15Adjacency matricesHL only36 questions · notes
    16. 3.16Tree and cycle algorithmsHL only36 questions · notes
  4. 4Statistics and probability523 questions · notes

    1. 4.1Collecting data and sampling32 questions · notes
    2. 4.2Presenting data27 questions · notes
    3. 4.3Measures of central tendency and dispersion56 questions · notes
    4. 4.4Correlation and regression65 questions · notes
    5. 4.5Concepts of probability41 questions · notes
    6. 4.6Combined events70 questions · notes
    7. 4.7Discrete random variables45 questions · notes
    8. 4.8The binomial distribution79 questions · notes
    9. 4.9The normal distribution63 questions · notes
    10. 4.10Spearman’s rank correlation23 questions · notes
    11. 4.11Hypothesis testing57 questions · notes
    12. 4.12Data collection and reliabilityHL only18 questions · notes
    13. 4.13Non-linear regressionHL only53 questions · notes
    14. 4.14Linear transformations of random variablesHL only50 questions · notes
    15. 4.15The central limit theoremHL only30 questions · notes
    16. 4.16Confidence intervalsHL only28 questions · notes
    17. 4.17The Poisson distributionHL only44 questions · notes
    18. 4.18Further hypothesis testingHL only42 questions · notes
    19. 4.19Transition matrices and Markov chainsHL only48 questions · notes
  5. 5Calculus485 questions · notes

    1. 5.1Limits and the derivative23 questions · notes
    2. 5.2Increasing and decreasing functions26 questions · notes
    3. 5.3Differentiating polynomials65 questions · notes
    4. 5.4Tangents and normals34 questions · notes
    5. 5.5Introduction to integration51 questions · notes
    6. 5.6Stationary points52 questions · notes
    7. 5.7Optimisation60 questions · notes
    8. 5.8The trapezoidal rule31 questions · notes
    9. 5.9Further differentiationHL only66 questions · notes
    10. 5.10The second derivativeHL only31 questions · notes
    11. 5.11Further integrationHL only30 questions · notes
    12. 5.12Areas and volumesHL only36 questions · notes
    13. 5.13KinematicsHL only51 questions · notes
    14. 5.14Setting up differential equationsHL only39 questions · notes
    15. 5.15Slope fieldsHL only18 questions · notes
    16. 5.16Euler’s methodHL only50 questions · notes
    17. 5.17Phase portraitsHL only52 questions · notes
    18. 5.18Second-order differential equationsHL only27 questions · notes

How Maths AI is assessed

From the subject guide, with a table for each level.

Standard Level

2 exams, 3 h in total, internal assessment 20% of the grade.

ComponentTimeMarksWeight
Paper 1Calculator

1 h 30 min · 80 marks

Short responses. Graphic display calculator required.

1 h 30 min8040%
Paper 2Calculator

1 h 30 min · 80 marks

Extended responses. Graphic display calculator required.

1 h 30 min8040%
Mathematical explorationInternal

Coursework · 20 marks

A written exploration of a mathematical topic you choose, about 12 to 20 pages. Marked by your teacher and moderated by the IB.

Coursework2020%

Higher Level

3 exams, 5 h in total, internal assessment 20% of the grade.

ComponentTimeMarksWeight
Paper 1Calculator

2 h · 110 marks

Short responses. Graphic display calculator required.

2 h11030%
Paper 2Calculator

2 h · 110 marks

Extended responses. Graphic display calculator required.

2 h11030%
Paper 3Calculator

1 h · 55 marks

Two extended problem-solving questions on HL content.

1 h5520%
Mathematical explorationInternal

Coursework · 20 marks

A written exploration of a mathematical topic you choose, about 12 to 20 pages. Marked by your teacher and moderated by the IB.

Coursework2020%
Every paper, the IA and grade boundaries

Questions about Maths AI

Useful for Maths AI

  • Formula bookletEvery entry of the Maths AI booklet, with what each symbol means and when to use it.
  • GlossaryEvery Maths AI term with a short definition, A to Z.
  • Assessment and boundariesEach Maths AI paper in full, the internal assessment and grade boundaries by session.
  • Grade calculatorTurn marks into a grade, or six grades and the core into Diploma points.
  • Exam skills notesHow to tackle each Maths AI paper. Opens in Augment.

Revise Maths AI one subtopic at a time

A free account keeps your place in the notes and a record of what you practice, topic by topic.

Start freeOpen Maths AI in Augment