How the IB Mathematics Exam Works: First Distinguish Between AA and AI, SL and HL, Then Secure Your Math Exploration Score

2026-09-26 · Guides

IB Mathematics offers two courses, AA and AI, and two levels, SL and HL. The Mathematical Exploration accounts for 20% across all four combinations, but Paper 1 for AA does not allow calculators, while all papers for AI require a graphic calculator. This article explains how each is tested and practiced, and what will change in the new syllabus for the first exam in 2029.

IB Mathematics offers two courses and two levels, making four combinations in total: Analysis and Approaches (AA) and Applications and Interpretation (AI), each available at Standard Level (SL) and Higher Level (HL). The exam formats for these four combinations differ significantly, and so do the key focus areas for preparation. This article first clarifies what each combination tests and how it is graded, then explains how to prepare for the written papers and the Internal Assessment (Mathematical Exploration). Additionally, the IB Math syllabus is about to be updated, and we will also explain which students will be affected.

First Things First: New Syllabus Starting in 2029

According to the IB's curriculum updates: the new AA and AI courses will be released in February 2027, with teaching starting in August 2027 and the first exams in May 2029. This means students who start the DP before August 2027 will still be examined under the current syllabus.

The changes in the new syllabus are relatively minor: some course content has been removed, but nothing new has been added; the number of questions and total marks in the papers have been slightly reduced (for example, HL Paper 3 is shortened from 1 hour 15 minutes to 1 hour); the Internal Assessment remains the Mathematical Exploration, and SL and HL will now use the same grading rubric. The content below focuses mainly on the current syllabus, and most preparation strategies will also apply to the new one.

How the Four Combinations Are Examined

The commonality across all four combinations is that the Internal Assessment (Mathematical Exploration) accounts for 20%, with the remaining 80% coming from the written exams.

	SL	HL
Paper 1	40%	30%
Paper 2	40%	30%
Paper 3 (HL only)	—	20%
Mathematical Exploration (IA)	20%	20%

Calculator regulations are one of the biggest differences between the two courses:

AA: Calculators are not allowed for Paper 1, but can be used for Paper 2 and Paper 3.
AI: A graphing calculator is required for all papers.

HL Paper 3 consists of extended problem-solving questions: there are fewer questions, but each one is long, typically guiding you step-by-step through exploring a problem.

Like other IB subjects, the grade boundary for a 7 in each math course is determined after the exams are graded each session, with no fixed percentage (we explained how IB sets grade boundaries in this article on achieving high IB scores).

Different Preparation Focus for AA and AI

AA: Paper 1 Relies on Manual Calculation Skills

AA focuses heavily on algebra, functions, and calculus derivations. Since calculators are not allowed on Paper 1, it tests pure manual calculation: simplification, solving equations, exact values of trigonometric functions, logarithmic and exponential operations, differentiation, and integration. For many students, the issue isn't a lack of understanding, but rather slow or inaccurate calculations.

How to practice: Repeatedly practice Paper 1 questions without a calculator, especially exact values (do not write them as decimals) and the simplification of radicals and fractions. Keep a record of your common calculation mistakes—signs, brackets, cancellation—and check your work against this list every time you finish a problem.

AI: The Calculator Is the Main Tool; Interpreting Results Matters More

AI focuses on mathematical modeling and statistical analysis, requiring a graphing calculator for all papers. This means:

You must be highly proficient with the calculator. You need to be able to quickly and accurately perform regression fitting, solve equations, conduct statistical tests, and calculate probability distributions during the exam.
The focus is on interpreting results. AI questions often require you to explain what a result means within the context of the problem, whether the model is appropriate, and what its limitations are. Getting the number is only the first step.

How to practice: When solving problems, write down every calculator step you take to create your own "operation checklist"; after calculating the answer for each question, write a sentence or two explaining what the result means in context.

HL Paper 3: Practice "Following the Prompt"

The extended questions in Paper 3 typically consist of a series of sub-questions, where earlier parts lay the groundwork for later ones. When practicing, note that: even if you cannot solve an earlier part, you can often use the conclusion provided in the prompt to continue with the subsequent parts; for "proof" questions, make sure to write out the complete derivation.

General Rules for Answering Questions

Accuracy. Unless otherwise specified, numerical answers should be given as exact values or rounded to three significant figures. Note that this means three significant figures, not three decimal places.
Show your working. IB Math mark schemes typically award both method and accuracy marks. If your final answer is wrong but your method is correct, you can still get partial credit; if you only write a final answer and it is wrong, you get zero. Even for results obtained using a calculator, you must show the method used and the equation solved.
Know the formula booklet. A formula booklet is provided during the exam. Before the test, make sure you know exactly what is and isn't included, so you know which formulas you can look up directly during the exam.

The Mathematical Exploration (IA): 20% of Your Grade, Secured Early

The Mathematical Exploration is a report based on a mathematical topic of your interest, with a recommended length of 12 to 20 pages. The current syllabus grading rubric has five criteria, with a maximum of 20 points:

Criterion	Max Marks	What It Assesses
A: Presentation	4	Is the structure clear, coherent, and concise?
B: Mathematical Communication	4	Is mathematical language, notation, and graphs/tables used correctly and accurately?
C: Personal Engagement	3	Does it demonstrate independent thinking and genuine interest?
D: Reflection	3	Is there meaningful reflection on the process and results?
E: Use of Mathematics	6	Is the mathematics correct and commensurate with the level of the course?

A few tips:

Keep the topic narrow. "Investigating a mathematical model for a specific phenomenon" is much easier to write than "Applications of math in daily life." You can only score high if you can thoroughly explore a question within 20 pages.
Use of Mathematics carries the most marks. Criterion E is worth 6 points and requires the mathematical depth to be commensurate with your course level. If an HL student only uses SL-level math, it will be very hard to score high here; however, don't use math you don't understand just to "look advanced."
Personal Engagement is not just adding a paragraph about "why I like this topic." It should be evident throughout the report: data you collected yourself, choices you made, and questions you posed.
Reflection must be specific. Instead of "I learned a lot," ask: Where does this model break down? What would happen if a different method were used? Why did the results differ from expectations?
Teacher-assigned marks are subject to IB moderation. Therefore, check your work against the rubric criterion by criterion, rather than just relying on your teacher's score.

Many schools schedule the IA deadline for the first semester of the second year, which coincides exactly with university application season and the Extended Essay (check your school's specific schedule). If you can finalize your topic and complete the main mathematical work over the summer before your second year, the following year will be much less stressful.

A Practical Study Schedule to Follow

Do past paper questions chapter by chapter as you learn. Practice past papers and mark schemes by topic, strictly grading yourself against the mark scheme. If your school subscribes to the official IB Questionbank, you can filter questions by topic.
Do full past papers in the second semester of your second year. Complete them under timed conditions and following paper rules (whether calculators are allowed or not). Make sure to practice Paper 1, Paper 2, and Paper 3.
Categorize your mistakes into three types: conceptual misunderstanding, calculation errors, and correct understanding but missing steps required by the mark scheme. The third type is the easiest to fix.

Whether to choose AA or AI, and SL or HL, depends on the major you plan to apply for. Many STEM and economics majors have specific requirements for IB Math courses and levels, so be sure to check your target universities' requirements before selecting your courses. We discussed the course selection strategy for HL and SL in this article.

Final Thoughts

Achieving a high score in IB Math is half about daily effort: the 20% from the Mathematical Exploration can be secured early, and chapter-by-chapter practice should be graded strictly against the mark scheme; the other half is about exam performance: AA tests manual calculation skills, AI tests calculator proficiency and interpretation skills, and HL adds an extended paper. Figure out exactly which combination you are taking, and then focus your efforts in the right places.

If you are unsure which paper is costing you the most points, or if you are struggling to decide on an IA topic, you can start with a diagnostic assessment. Our instructors will analyze your performance based on IB grading criteria.

Verification note: The exam structure, calculator regulations, new syllabus timeline and changes, and Mathematical Exploration criteria in this article were verified on September 26, 2026. The IB website (ibo.org) has CAPTCHA protection, so we did not scrape its pages directly. The relevant information was gathered from IB official page summaries in search results and cross-checked with multiple sources; please refer to the official IB syllabus and your school's arrangements for the final details.

References: