Course hub · Mathematics: Applications and Interpretation SL

IB Maths AI SL: free cheatsheets, paper analysis and study guides

Everything for IB Maths AI SL in one place: a free cheatsheet for each of the 17 topics, the marks-weighted analysis of every recent paper, the guidebook, IA help and predicted papers.

  • 17 topics
  • 2 exam papers
  • IA worth 20%
  • Free to read

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Free17 topic cheatsheetsEvery formula, method and common trap. FreePast-paper analysisWhere the marks have gone since 2021. GuidebookIB Maths AI SL e-bookEvery question type, with a free chapter. IA helpMaths IA guideCriteria in plain words, ideas and outlines. Set 1 freePredicted papersFull papers with markschemes.

All 17 IB Maths AI SL topics

Grouped by theme. Each one opens its free cheatsheet.

The IB Maths AI SL sections are tagged inside each cheatsheet, so you can skip the HL-only parts.

Number & Algebra

SLSequences & SeriesArithmetic & geometric sequences and series, sum to infinity, sigma notation, and growth problems on the GDC.SLExponents & LogarithmsIndex laws, fractional & negative indices, exponential equations, logarithms, change of base and log scales.SLLoans & AnnuitiesCompound interest, depreciation, annuities, loan repayments and amortisation with the GDC finance solver.SLApproximation & ErrorRounding, significant figures, standard form, percentage error, and upper & lower bounds.

Functions

SLFunctionsDomain & range, composite & inverse functions, and quadratic, exponential and piecewise models.SLNon-Linear ModellingFitting linear, exponential and power models, r and R², and using a model to predict.

Geometry & Trigonometry

SLTrigonometrySOHCAHTOA, the sine & cosine rules, area, sectors, bearings and 3-D trigonometry.SLTrigonometric GraphsAmplitude, period and phase of sinusoidal models — tides, Ferris wheels — and solving in a range.SLVoronoi DiagramsPerpendicular bisectors, nearest-site regions, Voronoi vertices and the toxic-waste-dump problem.

Statistics & Probability

SLUnivariate StatisticsCentral tendency & spread from the GDC, grouped data, outlier fences, box plots and ogives.SLBivariate StatisticsScatter diagrams, correlation r, R², the least-squares regression line and prediction.SLProbabilitySample spaces, complements, unions, independence, two-way tables, tree diagrams and Bayes.SLProbability DistributionsExpected value, the binomial and normal distributions, inverse normal and Poisson.SLHypothesis Testingχ² tests, expected frequencies, degrees of freedom, t-tests and the decision rule.

Calculus

SLDifferentiationThe power rule, tangents & normals, stationary points and applied optimisation on the GDC.SLIntegrationReverse power rule, definite integrals, area under a curve, the trapezoidal rule and kinematics.SLKinematics & ProjectilesDisplacement, velocity & acceleration by calculus, at-rest points and projectile motion.

The exam

How IB Maths AI SL is assessed

  • Paper 1 Calculator allowed. Shorter questions across the course.
  • Paper 2 Calculator allowed. Longer, structured questions.
  • Internal assessment 20% of the grade. Read the IA guide.

See how the marks are spread across topics in recent papers.

The guidebook

Mathematics Applications and Interpretation SL for the IB Diploma

One volume and 15 chapters for the full Standard Level course, with calculator steps throughout.

See the book

Free sample chapters

IB Maths AI SL questions

How many topics are in IB Maths AI SL?

This hub covers 17 topics, grouped into the course's five themes. Each has its own free cheatsheet.

Which papers do IB Maths AI SL students sit?

Paper 1: Calculator allowed. Shorter questions across the course. Paper 2: Calculator allowed. Longer, structured questions. The internal assessment makes up the rest of the grade.

Is the formula booklet allowed in every paper?

Yes, the IB provides its formula booklet in every maths paper. Each cheatsheet flags the results that are not in it and must be learned.

Are the cheatsheets free?

Yes, every cheatsheet and the paper analysis are free to read without signing in.

Who writes these pages?

Ejaz Ahmad and the Photon Academy team, IB teachers since 2015. Every example and question is original.

In Singapore?

Learn IB Maths AI SL live

The same teachers run small classes in Singapore. See live classes at Photon Academy in Singapore.