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
Binomial Theorem
Binomial Expansion & Theorem, Pascal’s Triangle & The Binomial Coefficient nCr…
Counting Principles
Permutations & Combinations, Factorial Notation, Product Principle, Sum Principle…
Complex Numbers
Different Forms, Roots, De Moivre’s Theorem, Argand Diagram, Geometric Applications…
Systems of Equations
Solving 3 x 3 Systems of Linear Equations, Row Operations, Unique/No/Infinite Solutions…
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…
RV Free
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…
RV Free
Polynomials
Factor & Remainder Theorems, Sum & Product of Roots, Zeros, Roots, Factors…
RV Free
Modulus & Inequalities
Absolute-Value/Modulus Functions, Solving Equations & Inequalities…
RV Free
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…
RV Gold
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…
RV Gold
Kinematics
Displacement, Velocity, Acceleration, Total Distance Traveled, Graphs, Applications using GDC…
RV Gold
Differential Equations
First Order DE’s, Euler’s Method, Variables Separable, Homogeneous, Integrating Factor, Applications…
RV Gold
Maclaurin Series
Common Expansions, Use of Substitution, Products, Integration, Differentiation, Differential Equations…
RV Gold
Paper 3 Questions
All
All Questions in Paper 3 Questions
RV Gold
Topic 1 - Number & Algebra
Sequences & Series, Proof, Binomial Theorem, Complex Numbers, Systems of Equations...
RV Gold
Topic 2 - Functions
Properties of functions, Polynomials, Transformations...
RV Gold
Topic 3 - Geometry & Trigonometry
Triangles, 2D & 3D Shapes, Trigonometric Equations, Vectors, Planes...
RV Gold
Topic 4 - Statistics & Probability
Statistics, Bivariate Statistics, Probability, Discrete and Continuous Distributions...
RV Gold
Topic 5 - Calculus
Differentiation, Integration, Kinematics, Differential Equations, Maclaurin Series...
RV Gold
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More IB Mathematics AA HL Resources
Frequently Asked Questions
What is the IB Math AA HL Questionbank?
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.
Where should I start in the AA HL Questionbank?
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.
How should I use the AA HL Questionbank?
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.
What if I finish the AA HL Questionbank?
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.