Photon Guidebook: Mathematics HL Paper 3 for the IB Diploma cover

Photon Guidebook · 2026 Edition

Photon Guidebook for HL Paper 3

Name: Photon Guidebook: Mathematics HL Paper 3 for the IB Diploma
Price: 100.00 SGD
Availability: InStock
Author: Ejaz Ahmad

Paper 3 is one long, unfamiliar problem that rewards a way of working more than a list of facts. This book teaches that way of working, from the first exploratory part of a question to the general result at the end.

1 volume
18 chapters
524 pages
Browser e-book
Print: coming soon

Read the free sample →S$100

Free sample: Chapter 2, Families of curves: explore, conjecture, justify. Full title: Photon Guidebook: Mathematics HL Paper 3 for the IB Diploma, by Ejaz Ahmad with the Photon Academy team.

Who it's for

Written for students who

AA HL and AI HL students who freeze on Paper 3 because the context is new every time.
Students who can do every topic on its own but struggle to keep a long investigation going.
Students in the final months before the exam who want complete papers to sit under timed conditions.

Also inside

Beyond the topics

Chapters 16 and 17 are full practice papers, eight in all across AA HL and AI HL, each written for this book and supplied with a markscheme. Calculator instructions are given for the TI-Nspire CX II, followed by the Casio fx-CG50 equivalent.

Worked solutions to the practice questions are free on the publisher's site: HL Paper 3 (AA and AI) worked solutions.

How each chapter is built

The same four-part pattern runs through the book, so you always know where you are.

How the question is builtEach chapter starts from our count of every real Paper 3 question of that kind since the 2021 specimen, and shows the usual arc: explore small cases, spot a pattern, conjecture, then justify or generalise.
Teaching in short sectionsThe results and techniques an investigation of that type relies on, each with a marked example, plus GDC steps where the calculator helps you explore.
Worked investigationsComplete investigations solved in three columns, with every mark explained, so you can see how credit builds through a long question.
Graded practice and full papersPractice investigations from approachable to hard, then eight complete original papers across AA HL and AI HL, with markschemes.

18 chapters, 524 pages.

How Paper 3 works, Part A (AA HL), Part B (AI HL) and practice papers, Chapters 1 to 18 · 524 pages

1How Paper 3 works
2Families of curves: explore, conjecture, justify
3Polynomials, roots and complex numbers
4Sequences, recurrences and proof by induction
5Limits, Maclaurin series and approximation
6Differential equations and their solution families
7Calculus of curves, surfaces and motion
8Probability models and generating functions
9Testing claims: the statistics suite
10One rate law, one differential equation
11Coupled systems, Euler and phase portraits
12Fitting and comparing growth models
13Networks and Markov chains
14Voronoi diagrams, vectors and optimal shapes
15Unfamiliar definitions and new structures
16Practice papers: Analysis and approaches HL
17Practice papers: Applications and interpretation HL
18Final strategy and checklists

Look inside

Eight real pages, shown exactly as the e-book displays them. Tap any page to open it at full size, or read the whole sample.

Chapter 2 opens with our count of every Paper 3 question built on a family of curves

Teaching pages: short sections, key results and marked examples

Calculator steps on the TI-Nspire CX II, with the Casio fx-CG50 version alongside

A worked investigation, with the solution in three columns and every mark explained

Practice investigations, graded by difficulty

The opening page of Part B, Chapter 9: Testing claims

A worked investigation for Applications and Interpretation HL

Checklists from the final strategy chapter

Buy the HL Paper 3 (AA and AI) e-book

Payments are handled by Photon Academy (Singapore), the publisher.

The e-book

S$100SGD, one-time

Covers: How Paper 3 works, Part A (AA HL), Part B (AI HL) and practice papers, Chapters 1 to 18
Length: 524 pages
Access: 2 years, personal licence

Buy the e-book →

How buying works

The Buy button opens the publisher's checkout on ibtuition.sg. You sign in with Google first, so the book is linked to your account, then pay by card, Apple Pay, Google Pay or PayNow through HitPay.

The book opens in your browser as soon as payment clears.

The author

Ejaz Ahmad

Ejaz Ahmad has taught IB Diploma maths and physics since 2015 and is IB-certified for Mathematics: Analysis and Approaches HL and Physics HL. He holds a mechanical engineering degree from the National University of Singapore and has taught more than 1,000 IB students. He writes the guidebooks with the Photon Academy team.

More about Ejaz Ahmad · About Photon Resources

Questions

How do I read the e-book?

In the page-turn reader in any up-to-date browser on a phone, tablet or laptop. It has a contents navigator and search, and there is nothing to install.

How long do I keep access?

Two years from purchase. Your access is tied to the Google account you sign in with when you pay.

Can I download or print it?

No. It is a personal licence read online, and each page is watermarked with the buyer's account. A printed edition is in preparation.

Are these real IB past paper questions?

No. Every question and worked solution is original, written by Photon Academy in the style of the exam. The book does not reproduce IB papers, markschemes or booklets.

Who handles the payment?

Photon Academy in Singapore, the publisher. Checkout runs on ibtuition.sg through HitPay, which accepts cards, Apple Pay, Google Pay and PayNow. Prices are in Singapore dollars and your card provider converts them.