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Choose SL or HL, tick the syllabus points you want tested and describe anything else in your own words.
Subject and level
HL-only syllabus points are hidden at Standard Level.
Syllabus points
AI-T1 Number and Algebra
AI-1.1 Scientific notationOperations with numbers in the form a x 10^k.
AI-1.2 Arithmetic sequences and seriesnth term/sum formulae, sigma notation, applications and modelling.
AI-1.3 Geometric sequences and seriesnth term/sum formulae, sigma notation, applications.
AI-1.4 Financial applicationsCompound interest and annual depreciation.
AI-1.5 Exponents and intro to logarithmsInteger exponent laws; logs base 10 and e; numerical evaluation.
AI-1.6 Approximation and errorDecimal places/sig figs; upper/lower bounds; percentage error; estimation.
AI-1.7 Amortization and annuitiesUsing technology to model amortization and annuities.
AI-1.8 Solving systems and polynomials with technologyLinear systems (up to 3 variables) and polynomial equations via technology.
AI-T2 Functions
AI-2.1 Straight linesLine equation forms, gradient/intercepts, parallel and perpendicular conditions.
AI-2.2 Concept of a functionDomain/range/graph, notation, function as a model, informal inverse concept.
AI-2.3 Graphing functionsSketching from context; using technology to graph functions.
AI-2.4 Key features of graphsKey graph features and finding intersections using technology.
AI-2.5 Modelling with standard functionsLinear, quadratic, exponential, direct/inverse variation, cubic and sinusoidal models.
AI-2.6 Modelling skillsFitting, testing, justifying and using a model, including reasonableness of fit.
AI-T3 Geometry and Trigonometry
AI-3.1 3D geometryDistance/midpoint in 3D; volumes/surface areas of solids; angle between line/plane.
AI-3.2 Triangle trigonometrySine/cosine rules and triangle area formula.
AI-3.3 Applications of trigonometryRight/non-right triangle applications, Pythagoras, elevation/depression.
AI-3.4 Circle measureArc length and sector area.
AI-3.5 Perpendicular bisectorsEquations of perpendicular bisectors.
AI-3.6 Voronoi diagramsSites/vertices/edges/cells, adding a site, nearest-neighbour interpolation, toxic waste dump problem.
AI-T4 Statistics and Probability
AI-4.1 SamplingPopulation/sample concepts, bias, outliers, sampling technique effectiveness.
AI-4.2 Presenting dataFrequency tables, histograms, cumulative frequency, box-and-whisker plots.
AI-4.3 Central tendency and spreadMean/median/mode, grouped-data mean, IQR, standard deviation, variance.
AI-4.4 Correlation and regressionPearson's r, scatter diagrams, regression line of y on x, prediction.
AI-4.5 Probability conceptsTrial/outcome/sample space/event, probability, complementary events.
AI-4.6 Combined and conditional probabilityVenn/tree diagrams, mutually exclusive, conditional, independent events.
AI-4.7 Discrete random variablesDiscrete probability distributions and expected value.
AI-4.8 Binomial distributionBinomial distribution, its mean and variance.
AI-4.9 Normal distributionNormal curve properties; normal and inverse-normal calculations.
AI-4.10 Spearman's rank correlationSpearman's rs; appropriateness/limitations vs Pearson's r; effect of outliers.
AI-4.11 Hypothesis testingH0/H1, significance levels, p-values, chi-squared tests, t-test, one/two-tailed tests.
AI-T5 Calculus
AI-5.1 Limits and the derivativeInformal limit concept; derivative as gradient function/rate of change.
AI-5.2 Increasing and decreasing functionsGraphical meaning of f'(x) sign.
AI-5.3 Differentiating polynomialsDerivative of ax^n and sums of power terms.
AI-5.4 Tangents and normalsEquations of the tangent and normal at a point.
AI-5.5 Introduction to integrationAntidifferentiation of power functions; boundary conditions; definite integrals; area under a curve.
AI-5.6 Stationary pointsSolving f'(x)=0; local maximum and minimum points.
AI-5.7 Optimisation in contextApplied optimisation problems.
AI-5.8 Trapezoidal ruleApproximating areas using the trapezoidal rule.
Difficulty and exam format
Formats follow the current IB subject guide for Mathematics: Applications & Interpretation SL.
Duration and question count
Up to 20 questions for this format — pick an official IB paper format for longer papers.
Additional instructions
Timed exam mode
Sit the paper against a 90-minute countdown under exam conditions. You can change this when the paper opens.
Your blueprint
- Mathematics: Applications & Interpretation · SL
- Paper 2 · Medium
- 90 minutes · 6 questions
- No syllabus points selected yet
Generated papers are labelled IBBase AI Generated. This is an AI-generated practice paper and is not an official IB examination paper.