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IB Mathematics · Analysis and Approaches

Question Bank

Practice questions across the Analysis & Approaches syllabus with clear, step-by-step solutions. Choose Standard Level (SL) or Higher Level (HL), then focus on the concepts that matter most.

Standard Level (SL)Higher Level (HL)

Topic 1

Number & Algebra

6 subtopics
All ConceptsAll questions in Topic 1 Number & Algebra0 questions · Coming soonFreeSequences & SeriesArithmetic/Geometric, Sigma notation, Financial Applications0 questions · Coming soonExponents & LogsLogarithms, Exponent & Logarithms Laws, Solving Exponential & Logarithmic Equations0 questions · Coming soonBinomial TheoremBinomial Expansion, Pascal’s Triangle & Binomial Coefficient nCr, Factorial Notation, Permutations/Combinations0 questions · Coming soonProofsProof by Mathematical Induction, Contradiction, Counterexample, Simple Deduction, LHS and RHS0 questions · Coming soonComplex NumbersOperations with Complex Numbers, Complex Plane, De Moivre's Theorem, Argand Diagram, Polar Form, Euler Form0 questions · Coming soonSystems of EquationsSolving Systems of Linear Equation, Row Operations and Nature of Solutions (Unique/No/Infinite Solutions)0 questions · Coming soon

Topic 2

Functions

6 subtopics
All ConceptsAll questions in Topic 2 Functions0 questions · Coming soonFreeLinear and Quadratic FunctionsKey Features, Forms of equations, Graphs, Domain and Range, Quadratic Formula, Discriminant, Equations, Inequalities, Inverse Funtions0 questions · Coming soonRational FunctionsAsymptotes, Key Features, Graphs, Domain and Range, Reciprocal Functions0 questions · Coming soonExponential and Logarithmic FunctionsKey Features, Graphs, Asymptotes, Domain and Range, Solving Equations0 questions · Coming soonTransformationsTranslations, Reflections, Stretches and Compressions, Composite transformations0 questions · Coming soonPolynomialsPolynomials Functions, Domain and Range, Key Features, Graphs, Solving Equations Graphically and Analytically, Factor and Remainder Theorem0 questions · Coming soonModulus and InequalitiesAbsolute Value and Modulus Functions, Equations and Inequalities0 questions · Coming soon

Topic 3

Geometry and Trigonometry

4 subtopics
All ConceptsAll questions in Topic 3 Geometry and Trigonometry0 questions · Coming soonFreeGeometry and Space2D and 3D Shapes, Perimeter, Area, Surface Area, Volume0 questions · Coming soonTrigonometryTrig Ratios, Sine and Cosine, Bearings, Angles of Elevation and Depression, The Unit Circle, Exact Values, Arcs, Sectors0 questions · Coming soonTrigonometric FunctionsGraphs, Key Features, Composite Functions, Trig Identities, Trig Equations, Reciprocal Trig Ratios, Inverse Circular Functions0 questions · Coming soonVectorsDefinitions, Types, Lines, Planes, Scalar, Intersections of Lines and Planes0 questions · Coming soon

Topic 4

Statistics and Probability

4 subtopics
All ConceptsAll questions in Topic 4 Statistics and Probability0 questions · Coming soonFreeStatisticsSampling techniques, Mean/median/mode, IQR, Quartiles, Outliers, Histograms, Box Plots, Standard Deviation, Variance0 questions · Coming soonBivariate StatisticsPearson’s Correlation Coefficient, Equations of Regression Line, Applications0 questions · Coming soonProbabilityConcepts, Venn and Tree Diagrams, Bayes’ Theorem, Combined, Mutually Exclusive, Conditional, Independence Diagrams, Applications0 questions · Coming soonDistributionsBinomial Distribution, Normal Distribution and Calculations, Probability Distribution, Applications0 questions · Coming soon

Topic 5

Calculus

5 subtopics
All ConceptsAll questions in Topic 5 Calculus0 questions · Coming soonFreeDifferential CalculusRules, Tangents/Normals, Limits, Optimization, Gradients, L’Hopital’s Rule0 questions · Coming soonIntegral CalculusRules and Techniques, Max/Min , Optimization, Points of Inflection, Definite and Indefinite Integration, Partial Fractions, Substitution, Reverse Chain0 questions · Coming soonKinematicsDisplacement, Velocity, Acceleration, Total Distance Travelled0 questions · Coming soonDifferential EquationsEuler’s Method, 1st Order DE, Homogeneous DE, Variables Separable, Integrating Factor, Applications0 questions · Coming soonMacLaurin SeriesExpansion, Substitution, Products, Integration, Differentiation0 questions · Coming soon