Paper 1
Calculator from the start.
Short to long response.
Short to long response problems with GDC use expected throughout. Number, algebra, geometry and modelling, in the contexts the IB tests.
Mathematics: Applications & Interpretation · SL & HL · current syllabus
IB Math AI
IB Math AI
question bank.
Syllabus-mapped IB-style questions for Math: Applications & Interpretation at both SL and HL. Modelling, statistics, geometry and calculus — all built around the real-world contexts the IB rewards.
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
Statistics
HL 5–6
Question 8
A bacterial colony is modelled by N(t) = 200 · 1.04t, where N(t) is the population at time t hours after observation begins.
Find the initial population and the hourly growth rate as a percentage.
[3 marks]Find the time taken, to the nearest tenth of an hour, for the colony to double in size.
[4 marks]Sketch the graph of N against t for 0 ≤ t ≤ 50, clearly labelling key features.
[3 marks]
AI Examiner ready
Answer →
Syllabus coverage
Every topic.
Modelling-first.
The full Math AI syllabus — five topics at both SL and HL, with the AHL extensions covered to the same depth. Every question is mapped to a real-world modelling context, the way the IB sets it.
5
syllabus topics
SL & HL aligned
Topic 1
Number &
Algebra
Sequences, exponentials, financial maths, logarithmic scales (HL), graph theory (HL).
Topic 2
Functions
Linear, quadratic, exponential, sinusoidal models — fitted to real data.
Topic 3
Geometry &
Trigonometry
3D solids, surface area, voronoi diagrams, matrices for transformations (HL).
Topic 4
Statistics &
Probability
Linear regression, χ², distributions, hypothesis testing (HL) — the AI heartland.
Topic 5
Calculus
Differentiation in context, optimisation, definite integrals as area under data.
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
Extended-response
data and modelling.
SL: 1h 30 · 80 marks · 40% · HL: 2h · 110 marks · 30%
Longer questions built around real-world data — population, finance, climate, voting. Statistical inference and regression are key.
03
Paper 3 (HL only)
Two extended
investigations.
1 hour · 55 marks · 20% of HL grade
Two long-form modelling investigations that reward exploration, justification and clear conclusions — closer to a mini-IA than a normal exam question.
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 AI with a question bank.
Math AI rewards two things textbooks rarely train you for: real-world judgement, and fluency with your GDC. The students who score well aren't necessarily the strongest algebraists — they're the ones who interrogate a model, pick the right test, and write up their reasoning clearly.
FourtyFive's IB Math AI question bank is built for exactly that loop. Here's how to use it well.
1. Lead with statistics
Statistics & Probability is the largest single topic on Math AI and the area where small mark-scheme misses add up fastest. Drill regression, χ², hypothesis testing and distribution problems before you touch calculus.
2. Use your GDC like the IB expects
Math AI marks reward the right citation of GDC outputs — labelled diagrams, plotted regressions, named tests. Every FourtyFive solution shows the IB-preferred form so you can copy the convention into your own answers.
3. Practise modelling, not just maths
Half of Math AI is choosing the right model and justifying it. Hit context-led questions (population, finance, sport, climate) and read the AI Examiner's feedback on whether your model choice was defensible.
4. Re-do every question you scored below 60% on
FourtyFive auto-builds a "needs another go" queue from your weakest answers. 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 is two long investigations that reward mathematical maturity. Hit them 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 AI question bank?
FourtyFive's Math AI 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 AI Paper 3?
Yes. Math AI HL Paper 3 is one hour of two extended modelling investigations — closer to a mini-IA than a normal exam question. FourtyFive's bank includes Paper 3 problems for HL students. SL students don't sit a Paper 3.
What's the difference between Math AA and Math AI?
Math AI (Applications & Interpretation) is modelling-led, statistics-led, and rewards using a GDC and reading real-world data. Math AA (Analysis & Approaches) is more algebraic, proof-heavy and calculus-heavy. If you're heading into social sciences, economics, biology or design, AI usually fits better. Browse the Math AA question bank →
Is the question bank aligned to the current IB Math AI syllabus?
Yes. Every question is mapped to the current Math AI syllabus (first assessment May 2021, last assessment 2027). When the IBO updates the course we update topic tags and add fresh questions to match.
Are the questions real Math AI 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 AI paper, and tagged to the current syllabus.
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.
Start practising IB Math AI today.
Modelling, statistics, real-world data.
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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