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IB Mathematics AA HL
Questionbank

The IB Mathematics Analysis & Approaches (AA) 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

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Sequences & Series

Arithmetic/Geometric, Sigma Notation, Applications, Compound Interest…

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Exponents & Logs

Exponent & Log Laws, Solving Exponential & Logarithmic Equations…

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Binomial Theorem

Binomial Expansion & Theorem, Pascal’s Triangle & The Binomial Coefficient nCr…

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Counting Principles

Permutations & Combinations, Factorial Notation, Product Principle, Sum Principle…

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Complex Numbers

Different Forms, Roots, De Moivre’s Theorem, Argand Diagram, Geometric Applications…

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Proofs

Proof by Mathematical Induction, Contradiction, Counterexample, Simple Deduction…

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Systems of Equations

Solving 3 x 3 Systems of Linear Equations, Row Operations, Unique/No/Infinite Solutions…

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Topic 2

Functions

Topic 2 All

All Questions in Topic 2 Functions

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Properties of Functions

Domain & Range, Composite, Inverse Functions, Max-Min, Intercepts, Intersects, Sketching…

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Quadratics

Quadratic Functions & Equations, Completing the Square, Discriminant, Vertex…

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Rational Functions

Asymptotes, Intercepts, Sketching, Reciprocal Functions, GDC…

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Exponent-Log Functions

Exponential & Logarithmic Functions & Graphs, Asymptotes, Intercepts…

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Transformations

Translations, Reflections, Stretches, Graphs, Composite Transformations…

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Polynomials

Factor & Remainder Theorems, Sum & Product of Roots, Zeros, Roots, Factors…

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Modulus & Inequalities

Absolute-Value/Modulus Functions, Solving Equations & Inequalities…

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Topic 3

Geometry & Trigonometry

Topic 3 All

All Questions in Topic 3 Geometry & Trigonometry

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Geometry & Shapes

Geometry of 2D & 3D Shapes, Circles, Sectors, Arcs, Triangle Trig, Sine & Cosine Rule, Areas, Bearings…

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Trigonometric Functions

Circular Functions, The Unit Circle, Trig Ratios, Trig Identities, Solving Trig Equations, Trig Graphs…

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Vectors

Basics, Lines, Planes, Space, Angles, Intersections, Scalar/Vector Product, Applications…

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Topic 4

Statistics & Probability

Topic 4 All

All Questions in Topic 4 Statistics & Probability

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Statistics

Mean-Median-Mode, Variance, Standard Dev., IQR, Stem/Box Plot, Cumulative Freq…

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Bivariate Statistics

Equation of Regression Line y=ax+b, Correlation Coefficient ‘r’, Strength, Applications…

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Probability

Basics, Venn & Tree Diagrams,  Combined Events, Independent, Mutually Exclusive, Conditional…

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Distributions

Probability Distribution, Binomial Distribution, Normal Distribution, Random Variables, Applications…

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Topic 5

Calculus

Topic 5 All

All Questions in Topic 5 Calculus

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Differential Calculus

Differentiation Rules, Properties of Curves, Optimization, Related Rates, Limits, L’Hopitals Rule…

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Integral Calculus

Integration Rules & Techniques, Areas Under/Between Curves, Volume of Solids, Applications…

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Kinematics

Displacement, Velocity, Acceleration, Total Distance Traveled, Graphs, Applications using GDC…

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Differential Equations

First Order DE’s, Euler’s Method, Variables Separable, Homogeneous, Integrating Factor, Applications…

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Maclaurin Series

Common Expansions, Use of Substitution, Products, Integration, Differentiation, Differential Equations…

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Paper 3 Questions

All

All Questions in Paper 3 Questions

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Topic 1 - Number & Algebra

Sequences & Series, Proofs, Binomial Theorem, Complex Numbers, Systems of Equations...

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Topic 2 - Functions

Properties of Functions, Polynomials, Transformations...

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Topic 3 - Geometry & Trigonometry

Triangles, 2D & 3D Shapes, Trigonometric Equations, Vectors, Planes...

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RV Gold

Topic 4 - Statistics & Probability

Statistics, Bivariate Statistics, Probability, Discrete and Continuous Distributions...

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Topic 5 - Calculus

Differentiation, Integration, Kinematics, Differential Equations, Maclaurin Series...

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RV Gold

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More IB Mathematics AA HL Resources

Questionbank

All the questions you could need! Sorted by topic and arranged by difficulty, with mark schemes and video solutions for every question.

Paper 3

This resource offers a collection of mathematical modeling and investigation-style questions designed to help you prepare for the IB Math AA HL Paper 3 exam.

New

Practice Exams

Choose your revision tool! Contains topic quizzes for focused study, Revision Village mock exams covering the whole syllabus, and the revision ladder to precisely target your learning.

Key Concepts

Helpful refreshers summarizing exactly what you need to know about the most important concepts covered in the course.

Past Papers

Full worked solutions to all past paper questions, taught by experienced IB instructors.

Bootcamps & IA Toolkit

This resource combines topic-based Bootcamps and an IA Toolkit. Bootcamps review key concepts, while the IA Toolkit supports your Internal Assessment.

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Flashcards

Use multiple-choice questions and study crucial terminology on desktop or mobile app to improve your marks!

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Frequently Asked Questions

The IB Math Analysis and Approaches (AA) 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 AA 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 AA Higher Level course.
The AA HL Questionbank is designed to help IB students practice AA 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 AA HL Question bank. For example, if you want to practice AA HL exam style questions that involve Complex Numbers, you can go to AA SL Topic 1 (Number & Algebra) and go to the Complex Numbers area of the question bank. On this page there is a carefully designed set of IB Math AA 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 AA HL Questionbank is perfect for revising a particular topic or concept, in-depth. For example, if you wanted to improve your knowledge of Counting Principles (Combinations & Permutations), there is a set of full length IB Math AA HL exam style questions focused specifically on this concept. Alternatively, Revision Village also has an extensive library of AA HL Practice Exams, where students can simulate the length and difficulty of an IB exam with the Mock Exam sets, as well as AA 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 Analysis and Approaches (AA) HL exam style questions in the AA 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 AA HL Question bank, then a popular option would be to go to the AA 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 AA HL exam.