# IB Math AA HL - Questionbank

The IB Math Analysis & Approaches (AA) 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

Sequences & Series

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

Exponents & Logs

#### Exponent & Log Laws, Solving Exponential & Logarithmic Equations…

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…

Proofs

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

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…

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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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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.

### More IB Math 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.

## 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.