IB Mathematics AI formula booklet 2026: What is in it and how to use it effectively

The IB Mathematics AI formula booklet provides students with a structured reference to key formulas across number and algebra, functions, geometry and trigonometry, statistics and probability, and calculus. However, it does not replace mathematical understanding, as students still need to recognise which formula applies, interpret each variable correctly, and remember important concepts or methods that are not included. Familiarity with the booklet can also save valuable time when locating formulas under exam conditions.

This guide explains what the IB Mathematics AI formula booklet contains, what students should still know independently, and how to use it effectively in revision and exams.

What formulas are included in the IB Mathematics AI formula booklet?

The IB Mathematics AI ^[1] formula sheet is structured around the five core topics of the syllabus. Each topic section contains formulas relevant to both SL students and, where applicable, HL-only extensions. Below is a structured breakdown of what is given.

Topic 1: Number and algebra

This section covers the foundational quantitative tools students need for financial and algebraic modelling.

One critical detail often overlooked is that the compound interest formula in the IB Maths AI formula booklet includes the variable k, which represents the number of compounding periods per year. Many students apply the formula without identifying k correctly, which causes systematic errors across entire financial math questions.

Topic 2: Functions

The functions section is brief but precise. It includes the gradient formula, the gradient-intercept form of a straight line (y = mx + c), and the point-gradient form.

The axis of symmetry formula (x = -b/2a) is also provided, which allows students to locate the turning point of a quadratic without relying entirely on their GDC. This matters because showing working using the formula earns Method marks even when the calculator answer is correct.

Topic 3: Geometry and trigonometry

This is one of the most formula-dense sections in the IB Mathematics AI formula sheet.

Topic 4: Statistics and probability

The statistics formulas in the IB AI booklet are among the most frequently referenced during Paper 2 and Paper 3. This section includes equations for mean, variance, and standard deviation, as well as the conditional probability formula P(A|B) and expected value calculations.

The binomial distribution parameters are also provided, including the formula for P(X = k), which students can apply directly to structured probability questions.

Topic 5: Calculus

The calculus section provides the power rule for differentiation and the reverse power rule for integration. Both indefinite and definite integration forms are included.

HL students will also find Euler’s Method for numerical approximation of differential equations, kinematics equations linking displacement, velocity and acceleration, and integration techniques including substitution. These HL calculus entries are critical for Paper 3 long-response questions.

>>> Read more: IB Mathematics AI IA common mistakes 2026: What loses marks and how to avoid them

Which formulas are not in the IB Mathematics AI formula booklet and must be memorised

This is where many students are caught off guard. The existence of the booklet creates a false sense of security, and a common mistake we see at Times Edu is students assuming the booklet contains everything they need.

The following are the most important formulas and facts not provided in the given formulas IB AI list:

• The formula for percentage change and percentage error (used heavily in Topic 1 modelling contexts)
• Definitions of domain and range, even though function notation is used throughout
• Exact trigonometric values (sin 30°, cos 45°, etc.), which are expected knowledge in non-calculator contexts
• The interquartile range definition and how to identify outliers using the 1.5 × IQR rule
• The chi-squared test statistic formula, even though the test itself is a major Topic 4 component
• The formula for the t-test, which is assessed in statistics questions but expected to be applied through the GDC rather than by hand
• Logarithmic modelling forms such as y = a + b ln x, which appear in regression contexts and must be recognised without prompting

In our experience working with international students preparing for IB exams, missing the chi-squared formula is one of the most consistent gaps. Students expect it to be in the statistics formulas section of the IB AI booklet because the test itself is given so much attention in the syllabus. It is not there. Students must know how to set up and interpret the test using their GDC output.

>>> Read more: IB Mathematics AI IA rubric 2026: Understanding all five criteria and how to maximise each

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How to navigate the IB Mathematics AI formula booklet quickly under exam conditions

Speed is everything in IB exam papers. Each paper is tightly timed, and stopping to flip through pages without a system costs marks. Here is a structured approach to navigating the formula booklet in IB AI under pressure.

Step 1: Memorise the section structure before the exam.

Know that Topic 1 covers Number and Algebra, Topic 3 covers Geometry and Trigonometry, and so on. When a question involves compound interest, go directly to Section 1. When it involves the sine rule, go directly to Section 3. This sounds obvious, but students under stress default to reading from the beginning.

Step 2: Mark your personal copy during revision.

Use a clean PDF of the booklet and annotate it digitally or print and annotate by hand during your study sessions. Write what each variable means next to its formula. For the compound interest formula, note that k is compounding periods and n is time in years. Familiarity with your annotated copy builds muscle memory.

Step 3: Use the HL sub-heading tabs as landmarks.

If you are an HL student, the SL HL formula booklet IB AI structure places HL formulas at the end of each topic section under clearly labeled sub-headings. Learn where those sub-headings appear physically on the page so you are not re-reading the entire section during an exam.

Step 4: Cross-check calculator inputs against the written formula.

One of the most effective exam techniques we teach at Times Edu is to use the booklet formula as a checklist before confirming your GDC calculation. Write down each variable value against each variable in the formula. This forces you to show Method marks correctly and catches input errors before they cost you accuracy marks.

>>> Read more: IB Mathematics AI IA structure 2026: How to organise your exploration for maximum marks

Common mistakes students make when using the IB Mathematics AI formula booklet

Owning the tool is not the same as using it well. Below are the highest-impact errors observed across years of IB student coaching.

Mistake 1: Using formulas without identifying variables correctly.

The booklet gives you the structure, but not the interpretation. A student who plugs numbers into the compound interest formula without correctly identifying the compounding period will get a wrong answer despite using the right formula. Variable identification is a skill that must be practised explicitly.

Mistake 2: Relying on the GDC and never referencing the booklet.

Since calculators are allowed, some students skip the booklet entirely and work purely from GDC menus. This is problematic because written Method marks require you to show the formula and the substitution. A correct GDC answer with no working shown can receive zero marks on a multi-mark question.

Mistake 3: Assuming all distribution formulas are provided.

As noted in the missing formulas section above, chi-squared and t-test formulas are not in the booklet. A student who searches for them during the exam wastes time and may panic unnecessarily.

Mistake 4: Not differentiating between SL and HL content.

HL students sometimes apply HL formulas to questions that are testing SL-level understanding, creating unnecessarily complex solutions. Knowing which section of the SL HL formula booklet IB AI you are in helps you pitch your response at the right level of complexity.

Mistake 5: Treating the booklet as a substitute for understanding.

A critical detail often overlooked by students new to IB is that formulas without conceptual understanding produce errors. The binomial distribution formula is in the booklet, but students must still understand what n, p, and k mean in context before substituting.

>>> Read more: IB Mathematics AI IA topics 2026: How to choose the right exploration for your grade

How the IB Mathematics AI formula booklet differs from the IB Mathematics AA booklet

The IB offers two mathematics courses: Applications and Interpretation (AI) and Analysis and Approaches (AA). While both courses provide a formula booklet, there are meaningful differences in content and emphasis between the IB AI vs AA formula booklets.

The modelling formulas in the IB AI booklet reflect the course’s applied, real-world focus. Students choosing between courses for university preparation should understand that the AI booklet is built around tools for statistical analysis and modelling, while the AA booklet supports a more pure-mathematics approach favoured by students targeting STEM degrees requiring strong algebra and calculus.

At Times Edu, we help students make this curriculum choice strategically, matching the course to their university targets and their natural academic strengths.

>>> Read more: IB Mathematics AI mark scheme 2026: How to read and use it to raise your grade

How to practise using the IB Mathematics AI formula booklet as part of your revision

Effective revision for IB AI is not about re-reading notes. It is about building fluency with the tools you will use on exam day, and the booklet is one of those tools.

Practice method 1: Formula-location drills.

Set a timer for 30 seconds and challenge yourself to locate a specific formula in the booklet. Repeat this across all five topic areas. This builds the navigational fluency you need under timed conditions.

Practice method 2: Past paper work with the booklet open.

Never do IB AI past papers without the formula booklet open beside you. This is how the actual exam works. Practising without it creates false confidence and fails to build the habit of cross-referencing.

Practice method 3: Annotate and review your personal copy weekly.

Each week, revisit your annotated copy of the IB Mathematics AI formula sheet. Add new notes based on mistakes from past papers. Over time, this becomes a personalised reference that reflects your specific weak points.

Practice method 4: Identify missing formulas through past paper analysis.

Go through past paper mark schemes and highlight every formula used that is not in the booklet. These are the formulas to memorise in IB Maths AI. Build a separate one-page sheet of these and review it monthly.

Practice method 5: Work with a tutor who knows the booklet structure.

The fastest way to build booklet fluency is to work with someone who can immediately identify where you are wasting time or misreading formulas. At Times Edu, our IB Mathematics specialists coach students on exactly this kind of exam-tool fluency alongside content understanding.

>>> Read more: IB Mathematics AI past papers 2026: The complete guide to finding and using them

Frequently asked questions

Conclusion

At Times Edu, our specialist IB Mathematics tutors work with students to build this kind of exam-tool fluency from the earliest stages of the course. If you or your child is working through IB Mathematics AI and wants a structured, personalised plan that covers both content mastery and exam strategy, we encourage you to reach out for a consultation. Understanding the formula booklet is one piece of a larger roadmap, and getting that roadmap right from the beginning makes the entire IB journey significantly more manageable.

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