AI exam generator
Create Your Exam
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
AA-T1 Number and Algebra
AA-1.1 Scientific notationOperations with numbers in the form a x 10^k.
AA-1.2 Arithmetic sequences and seriesnth term/sum formulae, sigma notation, applications and modelling.
AA-1.3 Geometric sequences and seriesnth term/sum formulae, sigma notation, applications.
AA-1.4 Financial applicationsCompound interest and annual depreciation.
AA-1.5 Exponents and intro to logarithmsInteger exponent laws; logs base 10 and e; numerical evaluation.
AA-1.6 Simple deductive proofLHS-to-RHS proof layout; equality vs identity notation.
AA-1.7 Laws of exponents and logarithmsRational exponents, log laws, change of base, solving exponential equations.
AA-1.8 Infinite geometric seriesSum of an infinite convergent geometric sequence.
AA-1.9 Binomial theoremBinomial theorem, Pascal's triangle, nCr.
AA-T2 Functions
AA-2.1 Straight linesLine equation forms, gradient/intercepts, parallel and perpendicular conditions.
AA-2.2 Concept of a functionDomain/range/graph, notation, function as a model, informal inverse concept.
AA-2.3 Graphing functionsSketching from context; using technology to graph sums/differences.
AA-2.4 Key features and composite functionsKey graph features, intersections via technology, composite functions.
AA-2.5 Identity and inverse functionsThe identity function; finding an inverse function algebraically.
AA-2.6 Quadratic functionsStandard, factored and vertex forms and their features.
AA-2.7 Solving quadraticsQuadratic formula, discriminant, nature of roots.
AA-2.8 Reciprocal and rational functions1/x and (ax+b)/(cx+d); asymptotes.
AA-2.9 Exponential and log functionsa^x, e^x, log_a x, ln x and their graphs.
AA-2.10 Solving equationsGraphical and analytic solving; technology; real-life applications.
AA-2.11 Transformations of graphsTranslations, reflections, stretches, composite transformations.
AA-T3 Geometry and Trigonometry
AA-3.1 3D geometryDistance/midpoint in 3D; volumes/surface areas of solids; angle between line/plane.
AA-3.2 Triangle trigonometrySine/cosine/tangent ratios; sine and cosine rules; triangle area formula.
AA-3.3 Applications of trigonometryRight/non-right triangle applications, Pythagoras, elevation/depression.
AA-3.4 Radian measureRadians, arc length, sector area.
AA-3.5 Unit circle definitionscos/sin via the unit circle; tan = sin/cos; ambiguous sine-rule case.
AA-3.6 Trigonometric identitiesPythagorean identity; double angle identities for sin/cos.
AA-3.7 Circular functions and graphsGraphs of sin/cos/tan, amplitude/period, composite form, transformations.
AA-3.8 Solving trigonometric equationsSolving on a finite interval; equations reducing to quadratics.
AA-T4 Statistics and Probability
AA-4.1 SamplingPopulation/sample concepts, bias, outliers, sampling technique effectiveness.
AA-4.2 Presenting dataFrequency tables, histograms, cumulative frequency, box-and-whisker plots.
AA-4.3 Central tendency and spreadMean/median/mode, grouped-data mean, IQR, standard deviation, variance.
AA-4.4 Correlation and regressionPearson's r, scatter diagrams, regression line of y on x, prediction.
AA-4.5 Probability conceptsTrial/outcome/sample space/event, probability, complementary events.
AA-4.6 Combined and conditional probabilityVenn/tree diagrams, mutually exclusive, conditional, independent events.
AA-4.7 Discrete random variablesDiscrete probability distributions and expected value.
AA-4.8 Binomial distributionBinomial distribution, its mean and variance.
AA-4.9 Normal distributionNormal curve properties; normal and inverse-normal calculations.
AA-4.10 Regression of x on yRegression line of x on y and its use for prediction.
AA-4.11 Formal conditional probabilityFormal conditional-probability formula; testing independence.
AA-4.12 Standardising normal variablesStandardization (z-values); inverse normal with unknown mean/SD.
AA-T5 Calculus
AA-5.1 Limits and the derivativeInformal limit concept; derivative as gradient function/rate of change.
AA-5.2 Increasing and decreasing functionsGraphical meaning of f'(x) sign.
AA-5.3 Differentiating polynomialsDerivative of ax^n and sums of power terms.
AA-5.4 Tangents and normalsEquations of the tangent and normal at a point.
AA-5.5 Introduction to integrationAntidifferentiation of power functions; boundary conditions; definite integrals; area under a curve.
AA-5.6 Differentiation rulesDerivatives of x^n/sin/cos/e^x/ln x; chain, product and quotient rules.
AA-5.7 Second derivativeThe second derivative and its graphical relationship to f and f'.
AA-5.8 OptimisationLocal max/min, testing, optimisation, points of inflexion.
AA-5.9 KinematicsDisplacement, velocity, acceleration, total distance.
AA-5.10 Indefinite integralsIndefinite integrals of composites; reverse chain rule.
AA-5.11 Definite integrals (analytic)Analytic definite integrals; area between curve/axis and between two curves.
Difficulty and exam format
Only papers offered for Mathematics: Analysis & Approaches SL are shown.
Duration and question count
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: Analysis & Approaches · SL
- Paper 2 · Medium
- 90 minutes · 9 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.