IB Maths AA practice and diagnostic
This is an AA question bank for SL and HL, with selected free topics and a new short diagnostic that shows which steps need attention. Choose your level and taught topics; the result recommends practice, rather than predicting a grade from a small sample.
Choose AA SL or HL and your taught topics
Browse the existing question bank
Try the full SL example or HL Paper 3 investigationPractise using the AA bookletHL Paper 3 guide
Algebra and mathematical language
Functions, lines and quadratics
- Straight lines, gradients and perpendicularitySL and HL · Full course
- Functions: domain, range and reading graphsSL and HL · Full course
- Composite and inverse functionsSL and HL · Full course
- Quadratic forms: expanded, factorised and vertexSL and HL · Free
- Quadratic equations, inequalities and the discriminantSL and HL · Full course
- Transformations of graphsSL and HL · Full course
Sequences, finance and finite expansions
Exponential, logarithmic and rational models
Triangles and spatial measurement
Radians, circular functions and identities
- Radians, arc length and sector areaSL and HL · Full course
- The unit circle, exact values and the ambiguous caseSL and HL · Free
- Pythagorean and double-angle identitiesSL and HL · Full course
- Graphs and models of circular functionsSL and HL · Full course
- Trigonometric equations on an intervalSL and HL · Full course
Data and regression
Probability and distributions
Differentiation and optimisation
- Limits and the meaning of the derivativeSL and HL · Full course
- The power rule, tangents and normalsSL and HL · Free
- Chain, product and quotient rulesSL and HL · Full course
- The second derivative and derivative graphsSL and HL · Full course
- Stationary points, inflexion and optimisationSL and HL · Full course
Integration, area and motion
HL proof, algebra and function extensions
- Counting principles and the extended binomial theoremHL only · Full course
- Partial fractionsHL only · Full course
- Proof by induction, contradiction and counterexampleHL only · Full course
- Systems of linear equationsHL only · Full course
- Polynomials: factor and remainder theorems, sums and products of rootsHL only · Full course
- Rational functions with oblique asymptotesHL only · Full course
- Odd, even and periodic functions; polynomial inequalitiesHL only · Full course
- Modulus, reciprocal and squared graphsHL only · Full course
HL circular identities and complex numbers
HL vectors, lines and planes
HL differential methods
HL integration methods and solids
HL Bayes and continuous distributions
HL differential equations
HL series and limits
HL Paper 3: problem solving
Paper 1 at each level: Free to sit. Results require a free account. Paper 2 needs a free account to sit. See the papers · AA or AI?. For a whole-course picture, the grade calculator works from full paper and IA marks, not from this diagnostic.
Continue with the full AA course
The full AA course
AA Maths covers analysis and approaches at SL and HL. The full course is US$149 today, charged in USD. One payment, tax included, with access until 31 December 2028. AI and the 2029 syllabus are not included.
See the full AA course · US$149