IB

IB Mathematics AA SL
Questionbank

The IB Mathematics Analysis & Approaches (AA) Standard Level (SL) 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 2

Functions

Topic 3

Geometry & Trigonometry

Topic 4

Statistics & Probability

Topic 5A

Calculus I

Topic 5B

Calculus II

Topic 1

Number & Algebra

Topic 2

Functions

Topic 3

Geometry & Trigonometry

Topic 4

Statistics & Probability

Topic 5A

Calculus I

Topic 5B

Calculus II

Topic 1

Number & Algebra

Topic 1 All

All Questions in Topic 1 Number & Algebra

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Sequences & Series

Arithmetic & Geometric Progressions, Series, Sigma Notation, Infinite Sum...

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Financial and Growth Models

Compound Interest & Depreciation, Exponential Growth & Decay, Real-World Financial Modelling...

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Exponents & Logarithms

Exponent & Log Laws, Solving Exponential & Logarithmic Equations…

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The Binomial Theorem

Pascal's Triangle & nCr, Binomial Expansions, Finding Specific Terms & Coefficients, Problem-Solving...

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Proofs

Simple Deductive Proofs, LHS to RHS Proofs...

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Topic 2

Functions

Topic 2 All

All Questions in Topic 2 Functions

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Linear and Quadratic Functions

Equations, Discriminant, Intercepts, Vertex Form, Roots, Modelling, Function Properties...

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Composite & Inverse Functions

Composite Functions, One-to-One Functions, Domain & Range, Finding Inverses...

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Rational Functions

Asymptotes, Intercepts, Sketching, Reciprocal Functions, GDC…

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Exponential and Logarithmic Functions

Exponential & Logarithmic Functions & Graphs, Asymptotes, Intercepts…

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Transformations

Translations, Reflections, Stretches, Graphs, Composite Transformations…

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Function Sketching

Intercepts, Turning Points, Asymptotes, Symmetry, Transformations, End Behaviour...

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Topic 3

Geometry & Trigonometry

Topic 3 All

All Questions in Topic 3 Geometry & Trigonometry

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Triangle Geometry

Sine & Cosine Rule, Area of a Triangle, Ambiguous Case, Right-Angled Trigonometry & 3D Applications...

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Circle Geometry

Radians & Degrees, Arc Length & Area of Sector, Area of Segment, Problem-Solving & Applications...

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Mixed Geometry

Sine & Cosine Rule, Arc Length & Sector Area, Triangles in Circles, Composite Areas & Applications...

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Trigonometric Functions & Graphs

Sine, Cosine & Tan Graphs, Amplitude & Period, Phase Shift & Transformations, Modelling Periodic Phenomena...

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Trigonometric Identities & Equations

Pythagorean Identities, Exact Values, Solving Trig Equations, Multiple Solutions & General Forms...

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Topic 4

Statistics & Probability

Topic 4 All

All Questions in Topic 4 Statistics & Probability

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Descriptive 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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Discrete Random Variables

Probability Distributions, Expected Value, Variance, Applications...

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The Binomial Distribution

Binomial Experiments, Parameters, Probabilities, Mean & Variance...

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The Normal Distribution

Normal Models, Inverse Normal, Standardisation, z-Scores, Probabilities, Applications...

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Topic 5A

Calculus I

Topic 5A All

All Questions in Topic 5A Calculus I

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Differentiation Fundamentals

Power Rule & Standard Derivatives, Chain, Product & Quotient Rules, Tangents & Normals, Second Derivative...

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Trigonometric Differentiation

Derivatives of Sine & Cosine, Chain Rule with Trig Functions, Product & Quotient Rules, Tangents & Normals...

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Optimization

Setting Up & Solving Problems, First & Second Derivative Tests, Points of Inflexion, Real-World Applications...

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Kinematics I: Differentiation

Displacement, Velocity & Acceleration, Differentiating Position Functions, Speed & Direction, Analysing Motion...

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Topic 5B

Calculus II

Topic 5B All

All Questions in Topic 5B Calculus II

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Integration Fundamentals and Areas

Antiderivatives, Definite Integrals, Area Under Curves, Fundamental Theorem of Calculus...

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Integration by Substitution

Trigonometric Substitutions, Inspection, Simple Substitutions, Definite Integrals, Problem Solving...

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Trigonometric Integration

Trig Identities, Inspection, Trigonometric Substitution...

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Kinematics II: Integration and Mixed

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

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More IB Mathematics AA SL 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.

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) SL 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 SL 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 Standard Level course.
The AA SL Questionbank is designed to help IB students practice AA SL 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 SL Question bank. For example, if you want to practice AA SL exam style questions that have Exponents & Logarithms in them, you can go to AA SL Topic 1 (Number & Algebra) and go to the Exponents & Logarithms area of the question bank. On this page there is a carefully designed set of IB Math AA SL 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 SL Questionbank is perfect for revising a particular topic or concept, in-depth. For example, if you wanted to improve your knowledge of The Binomial Theorem, there are over 20 full length IB Math AA SL exam style questions focused specifically on this concept. Alternatively, Revision Village also has an extensive library of AA SL Practice Exams, where students can simulate the length and difficulty of an IB exam with the Mock Exam sets, as well as AA SL 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) SL exam style questions in the AA SL 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 SL Question bank, then a popular option would be to go to the AA SL 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 SL exam.