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  1. Subjects
  2. Maths AA

IB Mathematics: Analysis and Approaches

Algebra, functions, calculus and proof, for students who enjoy abstract reasoning and mathematical argument.

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

What Augment has for Maths AA

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
1,554
Notes pages
99
Quick-fire questions
2,887
Glossary terms
437
Counted on 20 October 2026

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

The Maths AA syllabus

5 topics and 83 subtopics, first assessment 2021. HL is everything here; 32 parts marked HL only are left out at SL.

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

  1. 1Number and algebra465 questions · notes · 573 quick fire

    1. 1.1Scientific notation22 questions · notes · 34 quick fire
    2. 1.2Arithmetic sequences and series80 questions · notes · 40 quick fire
    3. 1.3Geometric sequences and series60 questions · notes · 39 quick fire
    4. 1.4Financial applications of geometric sequences24 questions · notes · 36 quick fire
    5. 1.5Exponents and introduction to logarithms43 questions · notes · 41 quick fire
    6. 1.6Simple deductive proof36 questions · notes · 31 quick fire
    7. 1.7Laws of exponents and logarithms126 questions · notes · 42 quick fire
    8. 1.8Infinite geometric series38 questions · notes · 40 quick fire
    9. 1.9The binomial theorem42 questions · notes · 33 quick fire
    10. 1.10Counting principles and the extended binomial theoremHL only28 questions · notes · 35 quick fire
    11. 1.11Partial fractionsHL only23 questions · notes · 26 quick fire
    12. 1.12Complex numbers in Cartesian formHL only24 questions · notes · 39 quick fire
    13. 1.13Polar and Euler formHL only30 questions · notes · 35 quick fire
    14. 1.14Complex roots and De Moivre’s theoremHL only33 questions · notes · 34 quick fire
    15. 1.15Proof by induction, contradiction and counterexampleHL only37 questions · notes · 34 quick fire
    16. 1.16Systems of linear equationsHL only29 questions · notes · 34 quick fire
  2. 2Functions608 questions · notes · 532 quick fire

    1. 2.1Equations of straight lines43 questions · notes · 38 quick fire
    2. 2.2Functions, domain, range and inverse80 questions · notes · 33 quick fire
    3. 2.3The graph of a function34 questions · notes · 26 quick fire
    4. 2.4Key features of graphs68 questions · notes · 32 quick fire
    5. 2.5Composite functions52 questions · notes · 34 quick fire
    6. 2.6Quadratic functions63 questions · notes · 37 quick fire
    7. 2.7Solving quadratic equations and inequalities176 questions · notes · 38 quick fire
    8. 2.8Reciprocal and rational functions42 questions · notes · 34 quick fire
    9. 2.9Exponential and logarithmic functions112 questions · notes · 34 quick fire
    10. 2.10Solving equations143 questions · notes · 28 quick fire
    11. 2.11Transformations of graphs46 questions · notes · 35 quick fire
    12. 2.12Polynomial functionsHL only51 questions · notes · 34 quick fire
    13. 2.13Rational functionsHL only25 questions · notes · 34 quick fire
    14. 2.14Odd, even and self-inverse functionsHL only25 questions · notes · 30 quick fire
    15. 2.15Solving inequalitiesHL only30 questions · notes · 28 quick fire
    16. 2.16Modulus graphs and transformationsHL only24 questions · notes · 37 quick fire
  3. 3Geometry and trigonometry486 questions · notes · 596 quick fire

    1. 3.1Distance, midpoint, volume and surface area83 questions · notes · 38 quick fire
    2. 3.2Trigonometry in triangles92 questions · notes · 34 quick fire
    3. 3.3Applications of trigonometry29 questions · notes · 32 quick fire
    4. 3.4Radians, arcs and sectors30 questions · notes · 34 quick fire
    5. 3.5The unit circle67 questions · notes · 38 quick fire
    6. 3.6Trigonometric identities80 questions · notes · 33 quick fire
    7. 3.7Circular functions61 questions · notes · 37 quick fire
    8. 3.8Solving trigonometric equations88 questions · notes · 32 quick fire
    9. 3.9Reciprocal and inverse trigonometric functionsHL only39 questions · notes · 40 quick fire
    10. 3.10Compound angle identitiesHL only36 questions · notes · 33 quick fire
    11. 3.11Symmetry of trigonometric graphsHL only15 questions · notes · 34 quick fire
    12. 3.12VectorsHL only64 questions · notes · 35 quick fire
    13. 3.13The scalar productHL only66 questions · notes · 33 quick fire
    14. 3.14Vector equations of linesHL only67 questions · notes · 30 quick fire
    15. 3.15Coincident, parallel, intersecting and skew linesHL only22 questions · notes · 29 quick fire
    16. 3.16The vector productHL only39 questions · notes · 29 quick fire
    17. 3.17Vector equations of planesHL only34 questions · notes · 27 quick fire
    18. 3.18Intersections of lines and planesHL only33 questions · notes · 28 quick fire
  4. 4Statistics and probability271 questions · notes · 515 quick fire

    1. 4.1Populations, samples and sampling18 questions · notes · 39 quick fire
    2. 4.2Presenting data32 questions · notes · 40 quick fire
    3. 4.3Measures of central tendency and dispersion48 questions · notes · 40 quick fire
    4. 4.4Linear correlation and regression31 questions · notes · 37 quick fire
    5. 4.5Concepts of probability46 questions · notes · 38 quick fire
    6. 4.6Venn diagrams, tree diagrams and combined events78 questions · notes · 39 quick fire
    7. 4.7Discrete random variables35 questions · notes · 35 quick fire
    8. 4.8The binomial distribution58 questions · notes · 38 quick fire
    9. 4.9The normal distribution52 questions · notes · 36 quick fire
    10. 4.10Regression of x on y14 questions · notes · 27 quick fire
    11. 4.11Conditional probability and independence67 questions · notes · 37 quick fire
    12. 4.12Standardising normal variables22 questions · notes · 36 quick fire
    13. 4.13Bayes’ theoremHL only18 questions · notes · 34 quick fire
    14. 4.14Continuous random variablesHL only26 questions · notes · 39 quick fire
  5. 5Calculus547 questions · notes · 671 quick fire

    1. 5.1Limits and the derivative24 questions · notes · 29 quick fire
    2. 5.2Increasing and decreasing functions36 questions · notes · 27 quick fire
    3. 5.3Differentiating polynomials70 questions · notes · 33 quick fire
    4. 5.4Tangents and normals74 questions · notes · 30 quick fire
    5. 5.5Introduction to integration37 questions · notes · 29 quick fire
    6. 5.6Chain, product and quotient rules131 questions · notes · 38 quick fire
    7. 5.7The second derivative57 questions · notes · 30 quick fire
    8. 5.8Stationary points, optimisation and inflexion166 questions · notes · 34 quick fire
    9. 5.9Kinematics41 questions · notes · 31 quick fire
    10. 5.10Indefinite integrals and substitution by inspection65 questions · notes · 41 quick fire
    11. 5.11Definite integrals and areas163 questions · notes · 39 quick fire
    12. 5.12Continuity, differentiability and first principlesHL only21 questions · notes · 39 quick fire
    13. 5.13Limits and L’Hôpital’s ruleHL only41 questions · notes · 38 quick fire
    14. 5.14Implicit differentiation and related ratesHL only26 questions · notes · 37 quick fire
    15. 5.15Derivatives of further functionsHL only51 questions · notes · 40 quick fire
    16. 5.16Integration by substitution and by partsHL only36 questions · notes · 39 quick fire
    17. 5.17Areas and volumes of revolutionHL only27 questions · notes · 38 quick fire
    18. 5.18First-order differential equationsHL only27 questions · notes · 40 quick fire
    19. 5.19Maclaurin seriesHL only28 questions · notes · 39 quick fire

How Maths AA 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 1No calculator

1 h 30 min · 80 marks

Short and extended responses. No calculator.

1 h 30 min8040%
Paper 2Calculator

1 h 30 min · 80 marks

Short and 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 1No calculator

2 h · 110 marks

Short and extended responses. No calculator.

2 h11030%
Paper 2Calculator

2 h · 110 marks

Short and 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 AA

Useful for Maths AA

  • Formula bookletEvery entry of the Maths AA booklet, with what each symbol means and when to use it.
  • GlossaryEvery Maths AA term with a short definition, A to Z.
  • Assessment and boundariesEach Maths AA 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 AA paper. Opens in Augment.

Revise Maths AA 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 AA in Augment