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Math AI HL Questionbank

Dive into our IB Math AI HL questionbank, your gateway to IB success. With weekly updates, we're your source for essential materials on your path to academic success. Stay tuned for more!

Numbers & Algebra

Number Skills

Approximation, Rounding, Percentage Error, Significant Figures, Decimal Points, Volume and Area Formulas

Sequences & Series

Arithmetic and Gemoetric Sequences, Arithmetics and Geometric Series, Sigma Notation, Financial Mathematics

Complex Numbers

Operations with Complex Numbers, Polar Form, Euler's Formula, Argand Diagram, Roots of Complex Numbers.

Matrices (soon!)

Stretches, Horizontal and Vertical Translations, Reflections in the X and Y Axes, Stretches with Scale Factors.

Systems of Linear Equations

Simultaneous Systems of Equations, Quadratic Equations, Cubic Equations

Functions

Linear Equations & Graphs

Parallel and Perpenficular Lines, Gradients, Linear Lines, Points of Intersection, Equation of a Line

Application of Functions

Inverse Functions, Quadratic Functions, Real World Application of Functions, Logarithmic Functions.

Properties of Functions

Domain and Range, Inverse Functions, Asymptotes, Axis of Symmetry, Intersection of Functions, Sketching Functions.

Function Transformations

Reflection in x-axis and y-axis, Stretching, Scaling, Horizontal and Vertical Translations, Images.

Geometry & Trigonometry

Trigonometry

Sin/Cos/Tan, Sine and Cosine Rules, Arcs, Sectors, Circles, Areas of Triangles/Circles/Sectors.

Trigonometric Functions

Periodic Functions and Their Graphs, Amplitude, Period, and Phase Shift, Trigonometric Identities and Equations, Applications in Real-World Problems

Geometric Transformations

Translations, Rotations, Reflections, Stretches, Symmetry, and Their Applications in Real-World Contexts.

Vectors

Vector Operations, Dot Product, Cross Product, Vector Equations, Scalar Multiplication, Vector Geometry, Applications in Physics and Engineering

Graph Theory

Vertices, Edges, Paths, Cycles, Graph Models, Connectivity, Eulerian and Hamiltonian Paths, Graph Coloring, Applications in Networks and Optimization.

Statistics & Probability

Descriptive Statistics

Interquartile Range, Cumulative Frequency Graphs, Box-and-whisker Plots, Mean, Median, Mode, Standard Deviation.

Bivariate Statistics

Pearson and Spearman Correlation, Scatterplots, Linear Regression, Extrapolation, Real Life Application of Regressions.

Probability

Sample Space, Tree Diagrams, Venn Diagrams, Conditional Probabilities, Basic Probabilities.

Distributions

Binomial Distributions, Normal Distributions, Probability Distributions, Real-life Application of Probabilities.

Hypothesis Testing

Formulation of Hypotheses, Significance Levels, P-vales, T-tests, Chi-square Tests of Indepdendence.

Estimations and Confidence Intervals

Central Limit Theorem, Confidence Levels, Critical Values, Unbiased Estimators, Validity of Claims.

Calculus

Differentiation

Product, Chain, and Quotient Rules, Equations of Tangents and Normals, Local Maximum and Minimum, Rates of Change, Optimization.

Integration

Anti-differentiation, Area Under the Curve, Trapeziodal Rule, Integration by Substitution, Area Between Curves

Differential Equations

Solving Differential Equations, Euler's Method, First and Coupled Order Differential Equations, Application to Real-life Scenarios

Kinematics

Velocity, Displacement, Total Distance, Acceleration, Applications in Real-life Scenarios