IB Mathematics (Analysis and Approaches) HL Revision Notes
Achieving an A* in IB Mathematics (Analysis and Approaches) HL may sound challenging—but it’s not impossible with the right guidance, strategies, and top-notch revision materials. At Exam Papers Practice, we provide clear, organized, and exam-focused resources that help IB students grasp complex mathematical concepts more easily and study more efficiently.
Here’s everything you need to know to achieve top marks in IB Mathematics (Analysis and Approaches) HL, along with tips for effective studying.
Topic Driven Revision Resources
1 - Number and Algebra
1.1 - Number & Algebra Toolkit
1.2 - Exponentials & Logs
1.3 - Sequences & Series
1.4 - Simple Proof & Reasoning
1.5 - Further Proof & Reasoning
1.6 - Binomial Theorem
1.7 - Permutations & Combinations
1.8 - Complex Numbers
1.9 - Further Complex Numbers
1.10 - Systems of Linear Equations
2 - Functions
2.1 - Linear Functions & Graphs
2.2 - Quadratic Functions & Graphs
2.3 - Functions Toolkit
2.4 - Other Functions & Graphs
2.5 - Reciprocal & Rational Functions
2.6 - Transformations of Graphs
2.7 - Polynomial Functions
2.8 - Inequalities
2.9 - Further Functions & Graphs
3 - Geometry and Trigonometry
3.1 - Geometry Toolkit
3.2 - Geometry of 3D Shapes
3.3 - Trigonometry Toolkit
3.4 - Trigonometry
3.5 - Trigonometric Functions & Graphs
3.6 - Trigonometric Equations & Identities
3.7 - Inverse & Reciprocal Trigonometric Functions
3.8 - Further Trigonometry
3.9 - Vector Properties
3.10 - Vector Equations of Lines
3.11 - Vector Planes
4 - Statistics and Probability
4.1 - Statistics Toolkit
4.2 - Correlation & Regression
4.3 - Probability
4.4 - Probability Distributions
4.5 - Binomial Distribution
4.6 - Normal Distribution
4.7 - Further PRobability Distributions
5 - Calculus
5.1 - Differentiation
5.2 - Further Differentiation
5.3 - Integration
5.4 - Further Integration
5.5 - Optimization
5.6 - Kinematics
5.7 - Basic Limits & Continuity
5.8 - Advanced Differentiation
5.9 - Advanced Integration
5.10 - Differential Equations
5.11 - McLaurin Series
5.12 - Further Limits
Other Previous Useful Revision Resources
Number and Algebra
Functions
Geometry and Trigonometry
Statistics and Probability
Calculus
What Is IB Mathematics (Analysis and Approaches) HL?
The IB Mathematics (Analysis and Approaches) HL course is designed for students who enjoy working with abstract math, complex problem solving, and theoretical analysis. It covers a wide range of topics including:
Algebra
Functions
Geometry and Trigonometry
Calculus
Probability and Statistics
The HL level goes deeper into each topic compared to SL, with a focus on rigorous understanding and application. That’s why structured revision notes and consistent practice are essential.
Why Use Revision Notes from Exam Papers Practice?
At Exam Papers Practice, we understand what examiners are looking for and what students need to focus on. Our IB Mathematics (Analysis and Approaches) HL revision notes are crafted by experienced educators and past IB examiners, giving you access to:
Concise Summaries: No more wasting time on bulky textbooks. Our notes are short, focused, and to the point.
Topic-Wise Organization: Easily find notes by topic, whether you’re studying sequences or integration.
Worked Examples: Each concept is followed by step-by-step solved examples, helping you learn how to apply what you’ve just read.
Exam Tips and Common Pitfalls: We highlight common student mistakes and provide tips to avoid them.
Updated to the Latest IB Syllabus: Our materials match the most recent syllabus updates for IB Mathematics (Analysis and Approaches) HL.
How to Study Effectively with Our IB Mathematics (Analysis and Approaches) HL Revision Notes
1. Create a Study Plan
Break down your study time by topic. Allocate more time to challenging areas and review easier topics more quickly. For example:
Week 1: Algebra + Practice Questions
Week 2: Functions and Calculus
Week 3: Trigonometry and Geometry
Week 4: Probability and Statistics
Use our topic-organized IB Mathematics (Analysis and Approaches) HL revision notes to focus on one subject at a time. This way, you avoid feeling overwhelmed.
2. Use the Notes Actively
Don’t just read—study actively. Here’s how:
Write your own summary after each topic
Try solving the example questions before reading the solution
Use a highlighter to mark key formulas and rules
Teach the concept to someone else or explain it out loud
Our notes are designed to make active learning easy and effective.
3. Practice with Past Papers
After reviewing a topic using our revision notes, switch to real exam questions. Our website includes:
Past IB exam papers
Topic-wise question banks
Mark schemes and examiner reports
Doing this helps you apply the theory and get used to exam-style questions for IB Mathematics (Analysis and Approaches) HL.
4. Understand, Don’t Memorize
IB Maths HL exams test understanding, not just memory. That’s why our notes include detailed explanations of why a method works—not just how.
For instance, when studying calculus, don’t just memorize the derivative rules—understand what a derivative represents and how it applies in real-world scenarios.
Are You Having Trouble with Your Studies? Get the Help You Need Today
If you’re struggling with your studies and looking for extra support, why not consider hiring a tutor or enrolling in summer school or Easter revision services? Whether you’re aiming to boost your grades or better understand complex topics, targeted revision can make a big difference. Accessing the right resources is crucial, and there are multiple options available to help you succeed.
Why Consider a Tutor for Your Studies?
A personal tutor can provide tailored support based on your individual learning needs. Tutors offer one-on-one sessions that focus on the areas where you need the most improvement. Whether it’s mathematics, science, or language arts, a tutor can provide targeted strategies and techniques to ensure that you understand key concepts and are prepared for upcoming exams.
Summer School and Easter Revision Services: A Great Opportunity
Summer and Easter revision services are an excellent way to prepare for exams while still having time to relax. These sessions are structured to help you revisit your syllabus, revise key topics, and practice with exam papers. These services offer intensive study periods, which can be highly beneficial for students aiming to refresh their knowledge and boost confidence.
Accessing the Board Syllabus for Efficient Studying
Accessing your exam board’s syllabus is one of the most effective ways to stay on track during your revision. The syllabus provides a clear outline of the topics you need to cover and allows you to prioritize areas that require more attention.
The comprehensive IB Mathematics (Analysis and Approaches) SL/HL Specification ensures that you are following the right path and studying the correct resource material.
Where to Find the Best Educational Services
For further support, you can check out services offered by our Sister Companies Lite Regal International College and Lite Regal Education, both of which provide expert tutors and revision resources. Whether you need a tutor for personalized lessons or are looking to join a revision group, these services have a wide range of options to fit your study needs.
IB Mathematics (Analysis and Approaches) HL can be intimidating, but with structured notes and a smart study strategy, it becomes much more manageable. Use the expertly prepared revision materials from Exam Papers Practice to guide your studies, avoid common mistakes, and master both the theory and application of every topic. Remember: understanding, consistency, and practice are the real secrets to success.
