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IB DP Maths18 Oct 2026By Ajay Vatsyayan

IB Maths Extended Essay: Choosing a Topic, Research Question and Getting It Right

A maths Extended Essay can be one of the most rewarding parts of the IB Diploma – or the most stressful. How it differs from the maths IA, how to find a topic and a focused research question, how to plan the 4,000 words, and what support is allowed.

IB Maths Extended Essay: Choosing a Topic, Research Question and Getting It Right

Every IB Diploma student writes an Extended Essay (EE): an independent research piece of up to 4,000 words, with about 40 hours of work recommended, supervised by a teacher at school. Choosing mathematics as the EE subject is a bold choice – and for the right student, an excellent one. This guide helps you decide, and then do it well.

EE or IA – what's the difference?

Students often confuse the maths EE with the maths internal assessment (the exploration). They are very different:

Maths IA (exploration)Maths Extended Essay
Part ofYour maths grade (20%)The Diploma core
LengthA short reportUp to 4,000 words
Maths levelWithin or near the courseOften beyond the syllabus
FocusPersonal explorationA focused research question, argued fully

So an EE is not a long IA. It needs a sharp research question and mathematics you can explain in depth.

Is a maths EE right for you?

A maths EE suits students who:

  • Enjoy maths beyond the syllabus and read about it for fun.
  • Are taking HL or are strong at SL, and are comfortable learning new mathematics on their own.
  • Can write clearly – explaining each step in words, not just symbols.

If you mainly want to apply maths to another subject (economics, physics), consider whether the EE belongs in that subject instead, using maths as a tool.

Finding a topic and a research question

Good maths EEs usually start from something the student finds genuinely interesting and narrow it down:

  • Broad area: graph theory, number theory, probability, geometry, calculus, or the maths behind something real (cryptography, voting systems, sports scheduling).
  • Narrow topic: a specific problem, method or result within that area.
  • Research question: a precise question that can be answered in 4,000 words – for example, "To what extent does method X give a better estimate than method Y for…?"

Signs of a weak research question: too broad ("How is maths used in music?"), purely descriptive ("What is the Fibonacci sequence?"), or with no mathematics the student can actually do.

Planning the 4,000 words

  • Introduction: the research question and why it matters.
  • Background mathematics: only what the reader needs, explained clearly.
  • The main argument: the student's own working, proofs, calculations or analysis.
  • Evaluation: limitations, accuracy, what could be explored next.
  • Conclusion: a direct answer to the research question.

Keep regular notes of your thinking – your school will hold reflection sessions with your supervisor, and these are part of the process.

What help is allowed

The EE must be your own work. The IB allows a supervisor to guide, ask questions and comment on a draft within the rules your school sets. An outside tutor can help you understand mathematics you need to learn for the essay – but must not choose your research question for you, write or rewrite your text, or do your working. Always tell your supervisor about any outside help, and follow your school's academic integrity policy.

How Maths Bodhi supports EE students – within the rules

Our role in a maths EE is to teach the mathematics, not to write the essay:

  • Exploring areas of maths beyond the syllabus so the student can choose a topic they actually understand.
  • Teaching the new mathematics the student needs (for example graph theory or a numerical method), with practice.
  • Checking understanding by asking the student to explain their own working out loud.
  • Writing skills in general terms: how to explain mathematics clearly in words, using examples that are not from the student's essay.

Ajay Vatsyayan (M.Tech, 14+ years teaching maths) teaches IB DP maths at Maths Bodhi and has taught students from schools across Gurgaon, including Pathways World School, The Shri Ram School (Moulsari), Scottish High International School and Lancers International School. Maths Bodhi is independent and not affiliated with any school. Read Ajay's profile, or see our AA HL page.

Home sessions across Gurgaon or online. Book a free demo class.

Related: the IB maths IA guide, managing the IA and exams together and the IB DP maths guide for Gurgaon families.

General EE facts (4,000-word limit, recommended hours, combination with TOK) checked by the Maths Bodhi team (October 2026); always follow your school's copy of the current EE guide. Reviewed by Ajay Vatsyayan.

Frequently asked questions

How long is an IB maths Extended Essay?
The Extended Essay has an upper limit of 4,000 words, and the IB recommends about 40 hours of work in total.
What is the difference between the maths EE and the maths IA?
The IA is a shorter personal exploration worth 20% of the maths grade. The EE is a 4,000-word research essay in the Diploma core, built around a focused research question, often using mathematics beyond the syllabus.
Can a tutor help with an IB maths Extended Essay?
A tutor can teach the mathematics a student needs to understand, but must not choose the research question, write or rewrite the essay, or do the working. Students should tell their supervisor about outside help.
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