IB maths extended essay topics: 20 ideas with their research question
Twenty ideas with real mathematics, the research question for each, the mathematics needed and the topics to avoid.
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Notes, insights and strategy.
Resources on EBAU, IB Mathematics, study technique and real-world applications of mathematics. Articles written by Álvaro López from the classroom and from research.
Which graphing calculator to buy for IB Maths
Why I recommend the Casio fx-CG50, which papers use it and four things it solves for you in the exam, with animations.
Read article →Which calculator to buy for Bachillerato and the PAU in Valencia
The Casio fx-991SP CW: what the PAU rules allow, what you will use it for and five mistakes to avoid.
Read article →Is IB Maths HL hard? What changes and how to know if it’s for you
What changes from SL, what is genuinely hard, AA HL vs AI HL and five questions to decide whether HL is right for you.
Read article →IB Math AA SL and HL syllabus: what's in each topic, how it's assessed and what HL adds
The five analysis and approaches topics, the hours at each level, Papers 1, 2 and 3 and the exploration, with everything HL adds.
Read article →Has Navier-Stokes Been Solved? OpenAI's Announcement, Explained
What OpenAI's 10,000 AI agents actually proved about this Millennium Prize Problem, and what's still unconfirmed.
Read article →The Poincaré Conjecture: the Only Millennium Prize Problem Solved
Grigori Perelman, Ricci flow, and the million dollars he never claimed.
Read article →The 7 Millennium Prize Problems, Explained
The seven great unsolved problems of mathematics, explained without jargon.
Read article →IB Math AA vs AI: Which Should You Choose?
The single decision with the biggest impact on your IB Diploma. Comparison by STEM, humanities and social science degrees.
Read article →Teacher strike in Valencia: how to organise days without school
A practical, stage-by-stage plan so Bachillerato, EBAU and IB students don't lose momentum during the public-school dispute in Valencia.
Read article →How to tackle the Mathematics II exam in 90 minutes
Answer order, time management and the typical mistakes that cost half a point without the student even noticing.
Read article →Choosing a good topic for the Math AA Internal Assessment
Criteria so your research question has enough mathematics while staying viable within 12-20 pages.
Read article →The short-week method for Bachillerato
A five-day routine that avoids weekend burnout before the exam and leaves room to actually live.
Read article →How to choose a maths academy in Aldaia in 2026
What to ask, which warning signs to avoid, and why direct attention from the teacher matters more than any welcome offer.
Read article →EBAU Mathematics in Valencia: format, criteria and cut-off scores
Exam structure, marking criteria, and how STEM degree cut-off scores set your target.
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