EDUCIFLY BLOG

IB Math Applications and Interpretation: The Complete Guide to Math AI SL and HL

Quick answer: IB Math Applications and Interpretation (Math AI) is one of the two maths courses in the IB Diploma. It focuses on modelling real situations, statistics and using technology, rather than proof and pure algebra. It runs at Standard Level (150 hours) and Higher Level (240 hours). Every exam paper allows a graphic display calculator. The final grade comes from two exam papers at SL, or three at HL, plus a written exploration worth 20%. In May 2025, 42,968 students took Math AI SL and 8,527 took Math AI HL. A new version of the course starts in 2027, with first exams in 2029.

Most pages that rank for this course are shops, notes libraries or school timetables. None of them explain the course to a parent or a student choosing it. This guide does. It uses the IB's own subject brief, the IB's April 2026 curriculum update, and the May 2025 results data. Educifly's IB Math specialists have taught Math AI since the course launched, so we also add what the official documents leave out: what the papers feel like, where students lose marks, and how to get a 7.

If your real question is "AI or AA?", we have a separate guide to Math AA vs Math AI. This page is about Math AI on its own.

What is IB Math Applications and Interpretation?

IB Math Applications and Interpretation is the IB Diploma maths course built around modelling, statistics and technology, designed for students who will use maths as a tool rather than study it as a subject.

The IB (International Baccalaureate) offers two maths courses in the Diploma Programme (DP). One is Mathematics: Analysis and Approaches, usually called Math AA. The other is Mathematics: Applications and Interpretation, usually called Math AI. Every DP student must take exactly one of them. You cannot take both.

The two courses replaced the old Maths Studies, Maths SL, Maths HL and Further Maths in 2019. The first exams for Math AI were in May 2021. The IB's official description says the course "emphasizes the meaning of mathematics in context" and focuses on topics "often used as applications or in mathematical modelling".

In plain words: Math AI asks "how do we use maths to answer a real question?" Math AA asks "why is this true, and can we prove it?"

Three things make Math AI different from the start:

  • Technology is everywhere. A graphic display calculator (GDC) is allowed, and expected, on every single paper. There is no non-calculator paper.

  • Statistics is the biggest topic. At SL, statistics and probability get 36 of the 150 teaching hours. That is more than any other topic.

  • Context comes first. Exam questions start with a situation: a loan, a survey, a bridge, a running race. You turn it into maths, solve it, then explain what the answer means.

Math AI SL vs Math AI HL: what's the difference?

Math AI HL is a bigger, deeper course than Math AI SL: 90 more teaching hours, a third exam paper, and extra topics such as matrices, vectors, graph theory and differential equations.

Both levels share the same five topics and the same exploration (the IA). HL adds content inside each topic and a Paper 3 of long problem-solving questions.

Feature

Math AI SL

Math AI HL

Teaching hours

150

240

Exam papers

2

3

Total exam time

3 hours

5 hours 15 min

Exam weighting

80%

80%

Exploration (IA) weighting

20%

20%

Calculator

Allowed on all papers

Allowed on all papers

Extra HL topics

Matrices, complex numbers, vectors, graph theory, more distributions, hypothesis tests, differential equations

May 2025 students

42,968

8,527

May 2025 average grade

3.9

4.5

May 2025 students scoring 7

4.0%

9.6%

One point that surprises parents: Math AI HL is a serious maths course. It is not "easy maths at a higher level". The HL content on matrices, Markov chains, hypothesis testing and differential equations is demanding. A student who picks AI HL because they want to avoid hard maths usually regrets it by the second term.

The Math AI syllabus, topic by topic

The Math AI syllabus has five topics, and the IB sets a recommended number of teaching hours for each one at SL and HL.

Here are the hours from the current IB subject brief (first assessment 2021, still the course being examined until 2028):

Topic

SL hours

HL hours

What it covers

Number and algebra

16

29

Rounding and error, sequences, financial maths, logarithms; HL adds complex numbers and matrices

Functions

31

42

Linear, quadratic, exponential and trigonometric models; HL adds logistic and piecewise models and transformations

Geometry and trigonometry

18

46

3D shapes, sine and cosine rules, Voronoi diagrams; HL adds vectors and graph theory

Statistics and probability

36

52

Descriptive stats, regression, probability, normal and binomial distributions, chi-squared tests; HL adds Poisson, t-tests and more

Calculus

19

41

Differentiation, optimisation, integration, trapezoidal rule; HL adds differential equations and Euler's method

Exploration (IA)

30

30

The independent maths project, marked out of 20

Total

150

240


Math AI and Math AA share 60 hours of common content. That shared core is the basic algebra, functions, probability and calculus that any pre-university course needs.

Number and algebra

At SL, this topic is mostly practical: rounding to significant figures, percentage error, arithmetic and geometric sequences, and financial maths. Financial maths means compound interest, loans and depreciation, all done on the calculator's finance app. Logarithms appear briefly. At HL, the topic grows to include complex numbers and matrices, including using matrices to solve systems of equations and to model change.

Functions

Functions is the largest SL topic after statistics. The focus is modelling. You fit a linear, quadratic, exponential or sine model to a situation, use it to predict, and comment on how well it fits. HL adds logistic models, piecewise models and transformations of graphs. In exams, "modelling" questions often give you data and ask which model fits best and why.

Geometry and trigonometry

SL covers surface area and volume of 3D shapes, the sine and cosine rules, arcs and sectors, and Voronoi diagrams. Voronoi diagrams are unique to Math AI. They split a map into regions closest to each point, and turn up in questions about where to build a new hospital or phone mast. HL adds vectors, transformations using matrices, and graph theory. Graph theory includes famous problems like the Chinese postman and the travelling salesman.

Statistics and probability

This is the heart of the course, and the topic with the most exam marks. SL covers mean, median, standard deviation, box plots, scatter graphs, correlation, regression lines, probability trees, the binomial and normal distributions, and the chi-squared test. HL adds the Poisson distribution, t-tests, confidence intervals, Markov chains and transition matrices. Most of the calculating happens on the GDC. The marks come from choosing the right test and interpreting the result correctly.

Calculus

SL calculus is short and practical: gradients, tangents, maximum and minimum problems, and finding areas by integration and by the trapezoidal rule. HL goes much further. It includes the product, quotient and chain rules, kinematics, volumes of revolution, and differential equations solved with Euler's method and slope fields.

How is IB Math AI examined?

Math AI is examined by two written papers at SL (3 hours total) or three at HL (5 hours 15 minutes total), plus an internally assessed exploration worth 20% of the grade.

Here is the current exam structure, straight from the IB subject brief:

Paper

SL

HL

What's in it

Paper 1

1 hour 30 min, 80 marks, 40%

2 hours, 110 marks, 30%

Compulsory short-response questions

Paper 2

1 hour 30 min, 80 marks, 40%

2 hours, 110 marks, 30%

Compulsory extended-response questions

Paper 3

1 hour 15 min, 55 marks, 20%

Two long problem-solving questions

Exploration (IA)

20 marks, 20%

20 marks, 20%

Written project, 12 to 20 pages

Every paper allows a GDC. This is the biggest practical difference from Math AA, where Paper 1 is done without a calculator.

Paper 1 is a run of short questions, each worth around 5 to 9 marks. They test one skill at a time: a compound interest calculation, a probability tree, a regression line, a volume. Speed and accuracy matter. Students who know their calculator well finish with time to check.

Paper 2 has fewer, longer questions. Each one builds a situation over several parts. A question might give you survey data, ask for a chi-squared test, then ask you to interpret the result and comment on the sample. The later parts are where the 7s are decided.

Paper 3 (HL only) is two long questions that walk you through an unfamiliar problem, often using a mix of topics. It rewards students who can follow a method they have never seen before and keep going when the numbers get messy.

All three papers use the IB's command terms. "Find", "show that", "justify" and "comment" each ask for something different. Our IB command terms guide explains what each one wants.

The Math AI internal assessment: the exploration

The Math AI exploration is a written maths investigation of about 12 to 20 pages, marked out of 20 and worth 20% of the final grade at both SL and HL.

Students choose their own topic, with teacher guidance, and write it up over roughly 30 class hours plus homework. The current criteria are the same for SL and HL:

Criterion

Marks

What it rewards

A: Presentation

4

Clear structure, logical order, easy to follow

B: Mathematical communication

4

Correct notation, labelled graphs, defined variables

C: Personal engagement

3

A real question you care about, your own data or approach

D: Reflection

3

Honest discussion of limits, accuracy and what you would change

E: Use of mathematics

6

Maths at the level of the course, used correctly and with understanding

Math AI explorations tend to be modelling or statistics projects: how fast a cup of tea cools, whether a café queue is worth joining, how a city's rainfall fits a sine curve. The best ones start with a question the student really wanted answered, and collect real data. Our IB Math IA examples post walks through worked AI SL and AI HL explorations, and our IA topic generator on the site gives you ideas by subject and level.

One warning. Criterion E, "use of mathematics", is where AI students lose the most marks. Doing a regression on the calculator and copying the numbers is not enough. You need to explain what the correlation coefficient means for your question, test whether the model holds, and use maths that belongs to the course. That is exactly the skill our IB IA help sessions focus on.

Is Math AI easier than Math AA?

Math AI is easier than Math AA in content, but it is not easier to get a good grade in, and the results data proves it.

Here is what happened in May 2025, using the IB's official statistical bulletin:

Course

Students

Average grade (out of 7)

Scored a 7

Math AA HL

24,966

4.9

16.4%

Math AA SL

42,358

4.5

9.2%

Math AI HL

8,527

4.5

9.6%

Math AI SL

42,968

3.9

4.0%

Math AI SL had the lowest average grade of any large IB subject in May 2025. Only 4% of its students earned a 7. Meanwhile Math AA HL, the hardest maths course by content, gave 7s to more than 16% of its students.

Why? Because the students are different. Strong mathematicians pick AA HL and score well. Math AI SL collects everyone who wants the smallest possible dose of maths, including many students with shaky algebra. Nearly 40% of them finished on a grade 3 or below. The course is easier. The cohort is less prepared. The results show both at once.

So here is the honest advice. If your child is a capable maths student, Math AI is a good course and a 7 is very achievable. If your child is weak at maths and picks AI SL "to be safe", the safety is an illusion. The gaps in basic algebra and number work still get punished. Our ranking of the hardest IB classes has the full subject-by-subject data.

Who should take Math AI?

Math AI suits students heading for degrees that use statistics and modelling, such as social sciences, business, psychology, geography, biology, medicine and design, and students who prefer maths in context to abstract proof.

Ask three questions:

  1. What does your child enjoy? If they like the "why" behind a formula and enjoy solving puzzles for their own sake, that points to AA. If they like using maths to answer a question about the world, and find proof frustrating, that points to AI.

  2. What might they study at university? Engineering, physics, computer science, pure maths and quantitative economics courses at competitive universities often name Math AA HL as the requirement. Many social science, business, psychology, medicine and life science courses accept Math AI, and AI HL is a strong signal for those subjects. Always check the specific course page, because requirements change and vary by country.

  3. How strong are their foundations? A student who found IGCSE or MYP maths hard should think carefully before AI HL. AI SL is the more sensible route, with tutoring to close gaps early.

The trap to avoid is choosing AI SL at 16 because it "sounds easier", and then discovering at 17 that a target degree wants AA. Switching from AI to AA halfway through the DP is very hard, because the content is different and the AA papers include a non-calculator exam. Switching the other way, from AA to AI, is much more common and usually manageable in the first term.

The new Math AI course: what changes for first assessment 2029

The IB has published an updated Math Applications and Interpretation course for first assessment in 2029, which trims content, shortens HL Paper 3 to one hour, reduces paper marks, and replaces the five IA criteria with four new ones.

The IB posted the details on its curriculum updates page in April 2026 and released a new subject brief. Students who begin the DP in 2027 will study this version and sit the first new exams in May 2029. Students starting in 2025 or 2026 stay on the current course.

The IB describes the redevelopment as "refinement rather than reinvention". No content is added. Here is exactly what changes.

Content removed

Level

Removed from the syllabus

SL

Logarithms; approximation of areas using the trapezoidal rule

HL

Complex numbers; vector product; Poisson distribution; hypothesis tests for the mean of a normal distribution, the mean of a Poisson distribution, and the correlation coefficient

New topic structure and hours

The five topics stay, but they are re-lettered and reordered:

Topic

SL hours

HL hours

HL-only sub-topics

A: Functions

31

45

Transformations of graphs and functions

B: Number and algebra

16

27

Matrices

C: Geometry

18

45

Vectors; graph theory

D: Probability and statistics

36

52

E: Calculus

19

41

Differential equations

Exploration

30

30


Total

150

240


Exam changes

Paper

Current course (to 2028)

New course (from 2029)

SL Paper 1

80 marks

75 marks

SL Paper 2

80 marks

75 marks

HL Paper 1

110 marks

100 marks

HL Paper 2

110 marks

100 marks

HL Paper 3

55 marks, 1 hour 15 min

50 marks, 1 hour

Paper timings at SL, and for HL Papers 1 and 2, do not change. The weightings stay the same: 40/40 at SL, 30/30/20 at HL, with the IA at 20%.

New IA criteria

The exploration remains the IA, still 20% and still the same criteria for SL and HL. But the five current criteria become four, built around what the IB calls the "mathematical inquiry process":

New criterion

Marks

What it covers

A: Problem specification

4

The problem in context; the desired outcomes

B: Abstraction

6

Assumptions; chosen techniques and tools; mathematical form

C: Computation

4

Calculations; mathematical communication

D: Interpretation

6

Interpreting results; evaluating outcomes; refinement

The total is still 20 marks. "Personal engagement" and "reflection" disappear as separate criteria. In their place, 12 of the 20 marks now sit on setting up the problem properly and interpreting the answer. For a modelling course, that is a sensible shift, and it rewards students who think like data analysts rather than students who write emotional introductions.

If your child starts the DP in 2027 or later, make sure their teacher and tutor are working from the new guide. The differences are small enough to trip up anyone using old notes.

Which calculator do you need for Math AI?

Math AI requires a graphic display calculator (GDC) on every exam paper, so choosing one early and learning it deeply is part of the course.

Schools usually specify a model. The common choices are the TI-84 Plus CE, the TI-Nspire CX II (non-CAS), and the Casio fx-CG50. The IB publishes a list of permitted calculators and bans CAS (computer algebra system) models in exams, so check before buying.

The GDC does the heavy lifting in Math AI: regression, chi-squared tests, normal distribution probabilities, finance calculations, solving equations, finding areas. A student who has to hunt through menus in the exam loses minutes on every question. We ask our students to be able to do the ten most common calculator tasks without thinking by the end of the first term. That single habit is worth about a grade.

How to score a 7 in IB Math AI

Scoring a 7 in Math AI comes down to five habits: master the calculator, learn to interpret results in words, practise every past paper under time, treat the IA as a fifth of your grade, and fix algebra gaps early.

1. Know your GDC cold. Every regression, test and distribution question can be done in seconds if you know the menu. Build a one-page cheat sheet of calculator steps and practise until you do not need it.

2. Answer the question that was asked. Math AI questions end with "interpret", "comment" or "justify". A correct number with no sentence explaining it usually earns half marks. Write one clear sentence in context: "The p-value of 0.03 is less than 0.05, so we reject the null hypothesis; there is evidence that gender and preference are related."

3. Do every past paper, timed. Since the first exams in 2021, there are only a handful of sessions of real Math AI papers, so do all of them. Sit them under exam time, then mark them with the official mark scheme. The mark schemes show exactly where method marks come from.

4. Give the IA the time it deserves. The exploration is 20% of the grade and the only part you control completely. A strong IA can lift a borderline 5 to a 6, or a 6 to a 7. Pick a question with real data, use maths from the syllabus, and interpret every result.

5. Fix the basics in year one. Most lost marks in Math AI SL are not about statistics. They are about rearranging a formula, working with fractions, rounding correctly, or reading a graph. If those are shaky, sort them in the first term, not the month before exams.

For the general recipe, our guide to how to score a 7 in the IB applies to every subject. For Math AI in particular, the calculator and the interpretation sentences are the two levers that move grades fastest.

Common mistakes Math AI students make

The most common Math AI mistakes are rounding too early, skipping the interpretation sentence, misreading which statistical test is needed, and ignoring the formula booklet.

  • Rounding too early. The IB expects three significant figures in final answers unless told otherwise. Rounding in the middle of a calculation compounds the error and costs accuracy marks.

  • Forgetting the units and context. "The answer is 4.7" is not an answer. "The model predicts 4.7 million users after 3 years" is.

  • Picking the wrong test. Chi-squared for independence, chi-squared goodness of fit, t-test, binomial, normal: each fits a specific situation. Learn the "when to use" rule for each one.

  • Not using the formula booklet. Math AI has its own formula booklet in the exam. Students who know where every formula sits save time and avoid memory slips.

  • Treating the GDC as a calculator, not a tool. The graphing screen, the table function and the statistics apps are all fair game. Sketching a graph on the calculator before answering a functions question catches most careless errors.

How Educifly helps with Math AI

Educifly's IB Math AI tutors teach only IB maths, one-to-one, with the same tutor every week, and they cover both the current course and the 2029 update.

We match each student with a specialist rather than a general maths tutor. Sessions follow the student's school sequence, so the tutor is always one step ahead of the class. In practice, that means calculator drills in the first term, topic-by-topic past-paper work through the two years, and dedicated exploration sessions before the IA deadline. Since 2018, we have taught more than 500 students, with an average lift of 1.4 grade bands, and 9 out of 10 parents renew.

If you are still deciding between the two maths courses, our IB Math AA tutors and AI tutors run a joint diagnostic session that shows, with real questions, which course fits. And if you want to see how a session works before committing, book a free trial class and bring a topic your child is stuck on.

Frequently asked questions about IB Math Applications and Interpretation

What is IB Math Applications and Interpretation in simple terms?

It is the IB Diploma maths course that focuses on using maths to solve real problems. You study functions, statistics, probability, geometry and some calculus, with a strong emphasis on modelling data and using a graphic calculator. It is the alternative to Math Analysis and Approaches, which focuses on proof and pure maths.

Is Math AI SL or HL harder?

Math AI HL is much harder than Math AI SL. HL has 240 teaching hours instead of 150, a third exam paper, and extra topics such as matrices, vectors, graph theory, hypothesis testing and differential equations. In May 2025, AI HL students averaged 4.5 out of 7, and AI SL students averaged 3.9.

Does Math AI allow a calculator on every paper?

Yes. A graphic display calculator is allowed and expected on Paper 1, Paper 2 and, at HL, Paper 3. This is different from Math AA, where Paper 1 is a non-calculator paper.

What is the IB Math AI exploration?

It is the internal assessment: a written maths investigation of around 12 to 20 pages on a topic the student chooses. It is marked out of 20 and counts for 20% of the final grade at both SL and HL. Most Math AI explorations involve modelling or analysing real data.

Is Math AI easier than Math AA?

The content of Math AI is less abstract and less demanding than Math AA, especially at HL. But grades are not easier to get. In May 2025, only 4.0% of Math AI SL students scored a 7, compared with 16.4% of Math AA HL students. The difference comes mostly from who chooses each course.

Do universities accept Math AI?

Most do, for most degrees. Social science, business, psychology, biology, medicine and humanities courses generally accept Math AI at SL or HL. Engineering, physics, computer science, maths and some economics courses at competitive universities often ask for Math AA HL. Check each university's course page, because requirements differ by country and change over time.

What topics are in the Math AI syllabus?

Five topics: number and algebra, functions, geometry and trigonometry, statistics and probability, and calculus. Statistics and probability is the largest, with 36 teaching hours at SL and 52 at HL. HL adds matrices, complex numbers, vectors, graph theory, extra distributions and hypothesis tests, and differential equations.

How long are the Math AI exams?

At SL, Paper 1 and Paper 2 are each 1 hour 30 minutes, for 3 hours in total. At HL, Paper 1 and Paper 2 are each 2 hours, and Paper 3 is 1 hour 15 minutes, for 5 hours 15 minutes in total. From the 2029 exams, HL Paper 3 drops to 1 hour, making HL exams 5 hours in total.

What is changing in Math AI for 2029?

The updated course removes logarithms and the trapezoidal rule at SL, and complex numbers, the vector product, the Poisson distribution and several hypothesis tests at HL. Paper marks fall to 75 at SL and 100 at HL for Papers 1 and 2, HL Paper 3 falls to 50 marks and 1 hour, and the IA gets four new criteria. Students starting the DP in 2027 take the new course.

Can I switch from Math AI to Math AA?

It is possible early in the first year, but it is hard. Math AA covers more abstract algebra and has a non-calculator paper, so a student switching from AI has content to catch up on. Switching from AA to AI is more common and usually easier. Decide before the course starts if you can.

What calculator should I buy for Math AI?

Ask your school first, because they often specify a model. Common choices are the TI-84 Plus CE, the TI-Nspire CX II (non-CAS) and the Casio fx-CG50. CAS calculators are not allowed in IB exams. Whichever you choose, learn the statistics, finance and graphing functions early.

How can a tutor help with Math AI?

A specialist Math AI tutor speeds up the three things that decide grades: fluency on the calculator, writing correct interpretation sentences, and producing a strong exploration. Educifly's tutors teach only IB maths, work one-to-one with the same student every week, and follow the school's sequence so nothing is taught twice or missed.