IB math IB Math HL AAquestionbank

IB math IB MATH HL AA - questionbank

Practice questions from the entire syllabus with detailed solutions and step-by-step explanations.

HL Topic 4 - Probability And Statistics

Probability (HL)

Probability Review (HL)Expected Value (HL)Venn Diagram (HL)Dependent, Independent, Mutually Exclusive Events (HL)Tree Diagram, Conditional Probability (HL)Probability Questions (HL)Bayes Theorem (HL)

Statistics (HL)

Statistics Review (HL)Linear Correlation of bivariate data (HL)Presentation of Data and Measure of Central Tendency (HL)

Probability Distributions (HL)

Binomial Distribution Probability (HL)Discrete Random Variables (HL)Continuous Random Variables Normal Distribution

HL Topic 3 - Vectors and Trigonometry

Vectors, Lines and Planes (HL)

Vector Properties (HL)Scalar Product (HL)Vector Equation of a Line (HL)Vector Product (Cross Product) (HL)Vector Equation of a Plane (HL)Line, Plane, Angle (HL)Vector Applications (HL)

Trigonometry (HL)

Trigonometry Review (HL)Trigonometric Equations (HL)Graphs of Trigonometric Functions (HL)Angles of elevation and depression, Bearing (HL)Sine and Cosine Rules (HL)Double Angles (HL)Use of sine, cosine and tangent ratios (HL)Reciprocal Functions (secx, cosecx, cotx) (HL)Compound Angle (HL)Inverse Trigonometric Functions (HL)

HL Topic 2 - Functions, Polynomials, and Inequalities

Polynomials (HL)

Polynomials - Operations (HL)Inequalities (HL)Graphs of |f(x)| , f(|x|) , 1/f(x), f(ax+b), [f(x)]² Modulus Equations (HL)

Linear Equations (HL)

Linear Equations and Their Graphs Review (HL)Perpendicular Bisector (HL)Parallel and Perpendicular lines, Intersection of two lines (HL)Different forms of the equation of a straight line (HL)Distance Between Two Points, Midpoint, Gradient of a Line (HL)

Functions (HL)

Functions Review (HL)Quadratic Functions (HL)Exponential Growth and Decay Functions (HL)Rational Functions (HL)Graph of Functions - Transformations (HL)Composition Functions and Inverse Function (HL)Function notation (HL)Domain and range of a function (HL)Odd - Even Functions (HL)Inverse of a Function Extra (HL)Rational Functions - Extra (HL)

Topic 2 (HL) Review

Topic 2 Review (HL)

HL Topic 1 - Numbers and Algebra

Equations (HL)

Power Equations (HL)Equations in Factored Form (HL)Quadratic Equations (HL)

Sequences and Series (HL)

Geometric Sequences and Series (HL)Arithmetic Sequences and Series (HL)Number Sequences (HL)

Counting Principles, Permutations and Combinations (HL)

Counting Principles (HL)Permutations (HL)Combinations (HL)

Proofs (HL)

Simple Deductive Proof (HL)Contradiction and Counterexample (HL)Proof by Induction (HL)Proofs Review (HL)

Complex Numbers (HL)

Complex Numbers and Complex Plane (HL)Polar Form - Euler Form (HL)Power and Roots of Complex Numbers (HL)Complex Numbers Review (HL)

System of Equations (HL)

System of Linear Equations (HL)Partial Fractions (HL)

Binomials (HL)

Binomials Review (HL)Finding Coefficients and Terms (HL)Binomial Expressions (HL)Pascal Triangle (HL)Extension of Binomial Theorem (HL)

HL Topic 5 - Calculus

HL Topic 5 Review

Topic 5 Review (HL)

Differential Equations (HL)

Separable Differential Equations (HL)

Integration (HL)

Integration Review (HL)Application of Integration (HL)Area Under a Curve (HL)Definite Integral (HL)Rules of Integration (HL)Integration by Substitution (HL)Integration by Parts (HL)Integration of Partial Fractions (HL)

Differentiation/Derivative (HL)

Related Rates (HL)Differentiation/Derivative Review (HL)Application of Differentiation (HL)Concavity - Stationary Points (HL)Maximum and Minimum of Function (HL)Equation of Tangent and Normal Lines (HL)Rules of Derivative (HL)Higher Derivatives (HL)Implicit Differentiation (HL)Derivatives of Exponential and Logarithmic functions (HL)Derivatives of Trig and Inverse Trig Functions (HL)

Limit Concept (HL)

Limits Review (HL)Limits at Infinity & Indeterminate form (HL)Indeterminate Form: 0/0 Case (HL)Limits (HL)