IB Math Revision

IB Math AI HL revision:
one exam question at a time.

This is the IB Maths Applications and Interpretation HL (AI HL) hub of IB Math Revision, an independent IB Maths revision site: 1,000+ exam-style questions with full mark schemes across the five syllabus topics, 21 free topic question pages with worked solutions and 4 free practice exams (PDF). Every question is written or checked by Pete Bromfield, a former Head of Maths with IB examining experience.

Start Revising → How it works ↓ 🔍 Examiner Insights: where marks are lost 📄 Free 20-Q sample PDF 📝 Free practice exams (PDF) 📐 One-page formula sheet
Your Overall Mastery Needs 30 attempts per unit for full

Pick a Topic

Each syllabus topic has its own standalone practice engine. Questions are drawn randomly from a bank covering every sub-topic, presented one at a time — with worked reasoning behind every answer — so you actively build understanding of a specific weakness or work through all five topics in sequence.

What AI HL adds, and how it differs from AA HL

Applications and Interpretation HL is the HL course for modelling, statistics and technology. On top of the SL content it adds matrices, with eigenvalues and eigenvectors and Markov chains built on transition matrices; complex numbers used to model sinusoids; vectors for motion and kinematics; graph theory, from Eulerian and Hamiltonian paths to minimum spanning trees and the Chinese postman and travelling salesman problems; the Poisson distribution, linear combinations of random variables, the central limit theorem and confidence intervals; non-linear regression and linearising data with logarithms; and calculus for change over time: related rates, concavity, Euler's method, coupled differential equations and phase portraits.

The difference from AA HL shows in the questions. All three AI HL papers are sat with a calculator, so a question gives you a context (a population, a network, a set of data) and asks you to choose a model, use technology well and interpret the answer in that context. AA HL spends more time on exact algebra and proof. The topic pages above follow the AI HL syllabus only. Not sure which course is yours? See IB Maths AI vs AA and HL vs SL.

Built for the IB Way of Thinking

Three things separate this from a generic problem set — and they're the same three things that separate a 6 from a 7 in the real exam.

Feature

Marking That Explains Itself

Type your working and the AI marker compares it line by line with the question's IB-style mark scheme (Pro). You see exactly where each method mark was earned, where the accuracy dropped, and what an examiner would have circled in red.

Try it →
Feature

Mark Schemes That Teach

Every question hides a fully worked solution with method marks broken out, alternative approaches marked as accepted, and the accuracy tolerances that quietly decide grade boundaries.

Peek inside →
Feature

Honest Progress, Not Vanity Stats

Your topic mastery bar only fills once you've genuinely proved it — twenty questions per topic is the confidence threshold. No inflated 91%-after-three-questions nonsense.

Check my progress →

How the AI HL Exam Works

Your final grade comes from three pieces: three written papers, all with a calculator, sat at the end of Year 2, and a written investigation you complete during the course. Here's how the weighting breaks down — so your revision matches what actually earns marks.

Paper 1 · 30%

Short-Response

120 minutes, GDC required. Short questions worth 5–9 marks each, drawn from anywhere across the five topics.

Paper 2 · 30%

Extended-Response

120 minutes, GDC required. Extended questions of 14–18 marks demanding modelling, interpretation and communication.

Paper 3 · 20%

Investigation

75 minutes, GDC required. Two longer problem-solving questions requiring extended reasoning and mathematical exploration.

IA · 20%

Mathematical Exploration

A written investigation on a self-chosen mathematical topic. Marked internally, moderated by IB.

Four Habits of Top Scorers

Every year I watch two students with the same ability get two different final grades. The gap almost always comes down to these four habits.

  1. Sanity-check the size of your answer. A village of 2.7 million people is obviously wrong. A savings account earning €4.71 in year 1 might not be. Ask "does this feel right?" before you move on.
  2. Reuse your own answers. Multi-part questions almost always feed forward — the value you found in (a)(i) is meant to slot straight into (b). If a later part looks impossible, go back and check whether you've already computed what you need.
  3. Write down what you did, not just what you got. Method marks are still awarded when the final answer is wrong. A single line labelled "substituting into the formula" is often worth 1 mark on its own.
  4. Own your GDC. All three papers assume you're fluent with your calculator. Knowing how to store a variable, use the solver, work with a matrix or run a χ² test in a few keystrokes saves precious minutes and avoids arithmetic slips.

Frequently Asked Questions

Who is this platform for?

Any IB Diploma student sitting Mathematics: Applications & Interpretation at Higher Level on the current syllabus (first examined in 2021). HL AI is one of only two math courses (the other is HL AA) that lead to the "Mathematics HL" credit universities value most for STEM applications.

How does a typical session work?

Pick a topic from the tiles above. A randomised question appears — attempt it on paper or on-screen. When you're ready, either reveal the worked mark scheme, or paste your working in for AI marking against the question's mark scheme (Pro). Whichever route you take, your marks are silently logged so your progress bars stay accurate.

Do I need to pay upfront?

No — sign in with any account (Google, Microsoft or email) and you get seven days of full access to every question and mark scheme, plus three free AI-marked answers. After that, Pro is €99 a year (or €12 a month): all four courses, every mark scheme, AI marking and the tutor.

What's "confidence-weighted mastery"?

Regular percentage scores lie when you've only tried a few questions. If you get 3 out of 3 correct, that's technically 100% — but you clearly haven't proved mastery yet. This platform waits until you've attempted 30 questions in a topic before your bar can hit its true percentage. Below that, the bar shows a scaled-down "provisional" mastery — an honest picture of where you actually stand. More in how mastery works.

What if I change my mind?

You can cancel any time, and you keep access until the end of the period you've paid for. To cancel, open your Account page and choose "Manage subscription". If you hit a genuine problem, email pbromfield@ibmathrevision.com directly to sort it out.

Past papers: IB Math AI HL past papers (the official specimen papers, where to get past papers, and our own timed practice papers).

Not sure AI HL is the right course for you? Compare IB Maths HL vs SL and IB Maths AI vs AA.

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