IB Resources — Free Cheatsheets, Notes & Data Booklets
A complete revision library for IB Diploma students sitting Higher Level Mathematics (Analysis & Approaches) or Higher Level Physics. Every topic on the syllabus has its own page — formulas, derivations, common traps, an exam-attack plan, and a hand-crafted IB-style worked example. All free, no signup, optimised for revision.
Hand-built by Mr Ejaz Ahmad — IBO-certified, 15+ years teaching IB in Singapore
44Topic cheatsheets
100%Free, no signup
2Subjects (Math + Physics)
2026Latest IB syllabus
Subject 1
IB Mathematics: Analysis & Approaches HL
All 20 syllabus topics, organised by syllabus area. Each cheatsheet condenses ~12 sub-topics into one revision-ready page with formulas, worked examples, and a "what's NOT in here" list pointing to the gated full library.
IB Math AA HL is the most demanding mainstream IB Mathematics course — five hours a week of pure mathematics covering algebra, functions, trigonometry, vectors, calculus, statistics and probability. The cheatsheets below are the same study sheets Mr Ejaz prints for Photon Academy students before mock exams. Each one targets the exact formula recall, technique selection, and trap avoidance examined on Papers 1, 2 and 3.
All 24 syllabus topics across the new IB Physics syllabus (first examined May 2025). Organised into the five themes — Space, Time & Motion · Particulate Matter · Wave Behaviour · Fields · Nuclear & Quantum.
IB Physics HL covers everything from Newton's laws and projectile motion through relativity, thermodynamics, electromagnetic induction, and quantum & nuclear physics. The 24 cheatsheets below give you the formula sheets, definitions, derivations, common errors, and exam-attack plans for every topic — written from the perspective of an examiner who has seen the same mistakes thousands of times.
There are plenty of free IB notes online — many are inaccurate, formatted poorly, or written by non-IB teachers. These pages are different in three ways.
Written by an IB-certified tutor
Mr Ejaz has been teaching IB Math & Physics for 15+ years. Every formula, every trap, every worked example is drawn from teaching real IB students at SJI International, ACS(I), GESS, NLCS, OFS and UWCSEA. No non-IB content sneaks in.
Mark-scheme aware
Each cheatsheet flags the specific places students lose marks on Papers 1, 2 and 3 — like dropping lim notation in L'Hôpital, or not stating |sin x| ≤ 1. The "TRAPS" boxes mirror IB examiner reports verbatim.
Built for fast revision
Each page is a single scrollable cheatsheet — no clicking through endless sub-pages. Every section has its IB syllabus reference, a "TRICK" tip for shortcut methods, and an exam-attack plan listing what to reach for when you see each question type.
How to revise with these
A 4-step revision flow that actually works
Don't just read the cheatsheet front-to-back. The students who get a 7 use them like this.
Open the data booklet
Keep the official IB data booklet open on a second tab while you revise. Cross-reference every formula on the cheatsheet against where it appears in the booklet — if it's NOT in the booklet, you have to memorise it.
Read the TRAPS first
Skim the red "TRAP" boxes in every section before you read anything else. These are the marks examiners report being lost on year after year. Knowing them up front stops you making the same errors.
Do the worked example
Cover the solution and try the worked example yourself first. Compare your steps to the M1/A1/R1 mark-scheme breakdown — that's how IB awards marks, and it's the difference between 5s and 7s.
Test on past papers
Find one past-paper question per topic on the same syllabus reference (e.g. SL 5.8 for kinematics). The cheatsheet's exam-attack plan tells you which technique to reach for the moment you read the question.
FAQ
Frequently asked questions
A few things students and parents often ask about the resource library.
Are these IB resources really free?
Yes — every cheatsheet on this site is fully free to view and print. The free cheatsheets cover formulas, key tricks, common traps, and a per-section exam-attack plan. The full library (40-page Notes per topic, IB-style tutorial questions, and mark-scheme-style worked solutions) is gated for enrolled Photon Academy students or via a separate library subscription.
Who built these IB cheatsheets?
They are written by Mr Ejaz Ahmad, an IBO-certified IB Math and IB Physics tutor with 15+ years of teaching experience in Singapore. Every page is drawn from material he uses daily with Photon Academy students, including those at SJI International, ACS(I), UWCSEA, GESS, NLCS and OFS.
Are the cheatsheets aligned to the new IB syllabus?
Yes. The IB Math AA HL pages cover the syllabus first examined in May 2021, and the IB Physics HL pages cover the new physics syllabus first examined in May 2025. Each section is tagged with the IB syllabus reference (e.g. SL 5.1, AHL 5.12, A.1, D.4) so you can cross-reference the IB subject guide and the official data booklet quickly.
What is the official IB data booklet?
The data booklet is the formula reference document the IB lets you take into Papers 1, 2 and 3. The IB Math AA HL one is called the formula booklet; the IB Physics HL one is called the data booklet. Both are linked at the top of each subject hub here so you can keep them open while you revise from the cheatsheets.
Do you cover SL as well as HL?
Yes — within each HL cheatsheet, every section is tagged "SL" or "AHL" so SL students can see exactly which sections they need to know and which ones are HL-only. There are no separate SL pages because the SL content is a strict subset of HL content; reading the HL cheatsheet and skipping the AHL-tagged sections covers the SL syllabus completely.
Can I download the cheatsheets as PDF?
PDF downloads of the brand-formatted print version are gated for signed-in users (free for enrolled Photon Academy students; available on subscription otherwise). The HTML versions on this site are 100% free, printer-friendly via your browser's "Print to PDF" option, and contain identical content.
Ready for the full library?
The cheatsheets are free for everyone. Photon Academy students unlock the full library — printable PDF cheatsheets, 40-page Notes per topic, marked-up Tutorial Solutions, and extra Practice Solutions with detailed walk-throughs. Enrolled students get free access; non-students can subscribe.
