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IB

IB Mathematics AI HL
Questionbank

The IB Mathematics Applications & Interpretation (AI) Higher Level (HL) Questionbank is a great source of practice questions, coming from the entire syllabus! Each question comes with a clear markscheme and solution video, with an experienced IB teacher going through the question step-by-step. The questions are organized by topic and arranged by difficulty, making it the perfect resource for studying a particular concept.

Topic 1

Number & Algebra

Topic 1 All

All Questions in Topic 1 Number & Algebra


Number Skills

Approximation, Rounding, Decimal Places, Significant Figures, Scientific Notation, Percentage Error...


Sequences & Series

Arithmetic & Geometric Sequences & Series, Finding Terms & Sum of Terms, Infinite Sum, Sigma Notation...


Financial Mathematics

Compound Interest, Depreciation, Loans & Amortization, Annuities, Using Finance Solver on the Calculator...


Complex Numbers

Cartesian/ Polar/ Euler Form, Operations (+-x/) & Powers, Argand Diagrams, Applications with Sin/ Cos Waves...


Matrices

Operations (+-x), Identity/ Determinant/ Inverse, Systems of Linear Equations, Eigenvalues & Eigenvectors...


Systems of Linear Equations

Simultaneous equations, quadratic equations, cubic equations, applications...


Topic 2

Functions

Topic 2 All

All Questions in Topic 2 Functions


RV Free

Linear Equations & Graphs

Forms of Linear Lines, Gradient, Intercepts, Parallel & Perpendicular Lines, Perpendicular Bisectors...


RV Free

Applications of Functions

Linear, Quadratic, Direct/Inverse Variation, Exponential, Log, Sinusoidal, Logistic, Piecewise...


RV Free

Properties of Functions

Understanding the Domain & Range of a Function, Finding & Interpreting Composite & Inverse Functions...


RV Free

Transformations

Horizontal & Vertical Translations, Reflections in X & Y Axes, Stretches with Scale Factors, Composite...


RV Free

Topic 3

Geometry & Trigonometry

Topic 3 All

All Questions in Topic 3 Geometry & Trigonometry


RV Gold

Geometry of 3D Shapes

Dimensions, Surface Area, Volume. 3D Shapes Including Spheres, Hemispheres, Cones, Prisms & Pyramids...


RV Gold

Trigonometry

Right & Non-Right Triangles: Sin/Cos/Tan, Sin & Cosine Rule, Area, Circles: Arcs & Sectors, Radians...


RV Gold

Voronoi Diagrams

Sites/ Edges/ Cells/ Vertices, Perpendicular Bisectors, Nearest Neighbour Interpolation, Toxic Waste Dump...


RV Gold

Trigonometric Functions

The Unit Circle, Trig Identities, Ambigious Case of Sine Rule, Solving Trig Equations, Trig Functions & Graphs...


RV Gold

Geometric Transformations

Transformation of Shapes & Points Using Matrices. Reflections/ Stretches/ Enlargements/ Translations/ Rotations...


RV Gold

Vectors

Vector Basics, Scalar & Vector Product, Vector Eqn of a Line, Angle Between, Applications to Kinematics...


RV Gold

Graph Theory

Graph Basics, Walks/Trails etc, Eulerian/ Hamiltonian, Kruskal's/ Prim's, Chinese Postman, Travelling Salesman...


RV Gold

Topic 4

Statistics & Probability

Topic 4 All

All Questions in Topic 4 Statistics & Probability


RV Gold

Descriptive Statistics

Mean/ Median/ Mode, Interquartile Range, Histograms, Box & Whisker Plots, Cumulative Freq, Grouped Data...


RV Gold

Bivariate Statistics

Scatter Plots, Correlation (Pearson/ Spearman), Linear & Non-Linear Regression, Coefficient of Determination...


RV Gold

Probability

Basic Prob, Tree/ Venn/ Sample Space Diagrams, Conditional Prob, Transition Matrices & Markov Chains...


RV Gold

Distributions

Probability/ Binomial/ Normal/ Poisson Distributions. Random Variables & Combinations of Random Variables...


RV Gold

Hypothesis Testing

Ho/H1, Sig Levels, p-values, chi-squared tests, t-tests, Critical Val/ Reg, Type 1/2 Errors, Pop Mean & Proportion...


RV Gold

Estimation & Confidence Intervals

Reliability & Validity of Data Collection, Unbiased Estimators, Central Limit Theorem, Confidence Intervals...


RV Gold

Topic 5

Calculus

Topic 5 All

All Questions in Topic 5 Calculus


RV Gold

Differentiation

Product/ Chain/ Quotient Rules, 2nd Derivative Test, Tangents/ Normals, Max/ Min/ Optimization, Related Rates...


RV Gold

Integration

Anti-Diff, Area Under & Between Curves, Trapezoidal Rule, Integration by Substitution, Volumes of Revolution...


RV Gold

Kinematics

Displacement, Velocity, Acceleration, Total Distance Travelled, Kinematic Graphs...


RV Gold

Differential Equations

Solving Differential Eqs, Slope Fields, First Order & Coupled Differential Eqs, Euler's Method, Phase Portraits...


RV Gold

Paper 3 Questions

All

All Questions in Paper 3 Questions


RV Gold

Topic 1 - Number & Algebra

Sequences & Series, Matrices, Complex Numbers, Eigenvalues & Eigenvectors...


RV Gold

Topic 2 - Functions

Properties of Functions, Applications of Functions, Transformations...


RV Gold

Topic 3 - Geometry & Trigonometry

Voronoi Diagrams, Trigonometric Functions, Geometric Transformations, Vectors, Graph Theory...


RV Gold

Topic 4 - Statistics & Probability

Bivariate Statistics, Non-linear Regression, Transition Matrices, Distributions, Hypothesis testing...


RV Gold

Topic 5 - Calculus

Differentiation, Integration, Kinematics, Differential Equations, Volumes, Trapezoidal Rule...


RV Gold

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Frequently Asked Questions

The IB Math Applications and Interpretation (AI) HL Questionbank is a comprehensive set of IB Mathematics exam style questions, categorised into syllabus topic and concept, and sorted by difficulty of question. The bank of exam style questions are accompanied by high quality step-by-step markschemes and video tutorials, taught by experienced IB Mathematics teachers. The IB Mathematics AI HL Question bank is the perfect exam revision resource for IB students looking to practice IB Math exam style questions in a particular topic or concept in their AI Higher Level course.

The AI HL Questionbank is designed to help IB students practice AI HL exam style questions in a specific topic or concept. Therefore, a good place to start is by identifying a concept that you would like to practice and improve in and go to that area of the AI HL Question bank. For example, if you want to practice AI HL exam style questions involving Matrices, you can go to AI HL Topic 1 (Number & Algebra) and go to the Matrices area of the question bank. On this page there is a carefully designed set of IB Math AI HL exam style questions, progressing in order of difficulty from easiest to hardest. If you’re just getting started with your revision, you could start at the top of the page with Question 1, or if you already have some confidence, you could start at the medium difficulty questions and progress down.

The AI HL Questionbank is perfect for revising a particular topic or concept, in-depth. For example, if you wanted to improve your knowledge of Complex Numbers, there is a designed set of full length IB Math AI HL exam style questions focused specifically on this concept. Alternatively, Revision Village also has an extensive library of AI HL Practice Exams, where students can simulate the length and difficulty of an IB exam with the Mock Exam sets, as well as AI HL Key Concepts, where students can learn and revise the underlying theory, if missed or misunderstood in class.

With an extensive and growing library of full length IB Math Applications and Interpretation (AI) HL exam style questions in the AI HL Question bank, finishing all of the questions would be a fantastic effort, and you will be in a great position for your final exams. If you were able to complete all the questions in the AI HL Question bank, then a popular option would be to go to the AI HL Practice Exams section on Revision Village and test yourself with the Mock Exam Papers, to simulate the length and difficulty of an actual IB Mathematics AI HL exam.