Paper 1
No calculator.
Short to long response.
Algebraic manipulation, proof, trig identities, calculus by hand. The paper students most often lose marks on for notation and method.
Mathematics: Analysis & Approaches · SL & HL · current syllabus
IB Math AA
IB Math AA
question bank.
Syllabus-mapped IB-style questions across every Math: Analysis & Approaches topic — Number & Algebra, Functions, Geometry & Trigonometry, Statistics & Probability, and Calculus. Written for both SL and HL, with Papers 1, 2 and 3 covered.
Aligned to the current IB syllabus AI Examiner marks to the real IB mark scheme Free to start, no card needed
Sample Question · From the bank
Paper 2
Calculus
HL 6–7
Question 14
The function f is defined by f(x) = (2x − 1)e−x for x ∈ ℝ.
Find f′(x), simplifying your answer.
[3 marks]Hence find the coordinates of the local maximum of f.
[4 marks]Sketch the graph of f, showing the axis intercepts and the maximum.
[3 marks]
AI Examiner ready
Answer →
Syllabus coverage
Every topic.
Every sub-topic.
The full Math AA syllabus — five topics at both SL and HL, with the AHL extensions covered to the same depth. Every question is mapped to a specific syllabus statement.
5
syllabus topics
SL & HL aligned
Topic 1
Number &
Algebra
Sequences, series, exponents, logarithms, proof, complex numbers (HL).
Topic 2
Functions
Function notation, graphs, transformations, polynomial & rational functions.
Topic 3
Geometry &
Trigonometry
Coordinate geometry, trig identities, the unit circle, vectors (HL).
Topic 4
Statistics &
Probability
Descriptive statistics, probability rules, distributions, regression.
Topic 5
Calculus
Limits, differentiation, integration, differential equations (HL).
Practice every paper
Every paper,
weighted like the real exam.
FourtyFive's question bank mirrors the IB assessment model — same paper formats, time limits and weightings you'll meet on exam day.
02
Paper 2
Graphical calculator.
Real problems, real-time.
SL: 1h 30 · 80 marks · 40% · HL: 2h · 110 marks · 30%
GDC-led problems on functions, statistics, calculus and modelling. We mark the way the IB expects GDC outputs to be cited in your working.
03
Paper 3 (HL only)
Two extended
problem-solving tasks.
1 hour · 55 marks · 20% of HL grade
Multi-part investigations with proof, conjecture and generalisation — the paper most often skipped in textbooks.
Topic · Derivatives
Math AA HL
Capability86
Fluency72
Retention58
Confidence80
Awareness66
Momentum78
Mastery — last 7 sessions
Mastery score
76
/ 100
+5 this week
Strong recent performance, but retention is fading on chain-rule problems answered >14 days ago.
Capability · 86
Retention · 58
Confidence · 80
Why students stick with FourtyFive
The algorithm
earns its keep.
Every answer you submit updates a three-layer mastery score across each topic — proven capability, retention, and confidence. Topics fading from memory get pulled back into your queue before exam season. Topics with sudden drops get flagged for immediate review. You spend revision time where it actually matters.
- Updated after every answer
- Catches sudden drops, not just averages
- Cautious when the data is thin, confident when it isn't
Revision guide
How to revise IB Math AA with a question bank.
The Math AA paper isn't a memory test — it's a problem-solving exam under time pressure. The students who walk out with a 7 aren't the ones who watched the most videos; they're the ones who answered the most carefully-graded questions, in the right order, with feedback that fixed the small things.
FourtyFive's IB Math AA question bank is built around that loop. Here's how to use it well.
1. Start with a topic rating
Before you do a single question, rate every sub-topic in the syllabus from "haven't covered it" to "got it." Five seconds each. That gives the algorithm a confidence map and means your first session targets your weakest area, not chapter 1 of your textbook.
2. Mix papers, don't silo them
One of the biggest revision mistakes is doing only Paper 1 in week 1, then Paper 2 in week 2. The real exam mixes algebraic dexterity (P1) with GDC fluency (P2) — your practice should too.
3. Always answer in full
The temptation to skip working and check the answer is huge. Don't. Hand-write or type out every step — the AI Examiner gives method marks even when your answer is wrong, but only if it can see the method.
4. Re-do every question you scored below 60% on
FourtyFive auto-builds a "needs another go" queue from your weakest answers. Hit it once a week. Re-attempting questions you've already partially understood is the highest-ROI revision move you can make.
5. Save Paper 3 for the final stretch (HL)
Paper 3 rewards mathematical maturity more than syllabus knowledge. If you're sitting HL, hit the extended problems in the final six weeks — once Papers 1 and 2 feel solid — and treat the AI's marking notes as a tutoring conversation, not a verdict.
Other IB question banks
Take a different
IB subject?
FourtyFive covers six IB Diploma subjects today, all included on every plan. Cross-link to the rest of the question bank below.
FAQ
Questions,
answered.
Can't find what you're looking for? Email our student team — we usually reply same day.
How many questions are in the IB Math AA question bank?
FourtyFive's Math AA question bank covers every syllabus topic and sub-topic at both SL and HL, with thousands of questions tagged by paper, topic, sub-topic and command term. The bank grows every week.
Does FourtyFive cover Math AA Paper 3?
Yes. Math AA HL Paper 3 is one hour of two extended problem-solving tasks involving proof, conjecture and investigation. FourtyFive's bank includes Paper 3 problems alongside Papers 1 and 2 for HL students. SL students don't sit a Paper 3.
What's the difference between Math AA and Math AI?
Math AA (Analysis & Approaches) leans algebraic, proof-heavy and calculus-heavy. Math AI (Applications & Interpretation) is modelling-led and statistics-led, with a Paper 3 focused on real-world data. If your degree plan involves engineering, physics or pure maths, take AA. Browse the Math AI question bank →
Is the question bank aligned to the current IB Math AA syllabus?
Yes. Every question is mapped to the current Math AA syllabus (first assessment May 2021, last assessment 2027). When the IBO publishes a subject report or syllabus revision, we update topic tags and add fresh questions to match.
Can I see worked solutions and a mark scheme breakdown?
Yes. Every question has a step-by-step worked solution plus a per-mark breakdown showing where method credit (M1), accuracy credit (A1) and reasoning marks (R1) come from — just like the real IB mark scheme.
Are the questions real Math AA past papers?
No — the IBO owns the copyright on real past papers and we don't redistribute them. Every question on FourtyFive is original, written by IB Math subject experts to match the style, difficulty and command-term language of the real Math AA paper, and tagged to the current syllabus.
Can I write Math AA answers by hand?
Yes. FourtyFive is iPad-first and natively supports Apple Pencil handwriting — important for Math AA where workings, diagrams and algebraic notation matter. If you don't have an iPad, the FourtyFive writing tablet plugs into any laptop and gives you the same workflow. The AI Examiner marks handwriting to the same standard as typed answers.
Start practising IB Math AA today.
Algebra, calculus, proof — all in one bank.
Free to start, no card needed. Every topic, every paper, marked by an AI Examiner against the real IB mark scheme.
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