Free worked solutions · 2026 Edition

Worked solutions: IB Maths HL Paper 3 guidebook

Full worked solutions to every practice investigation in Photon Guidebook: Mathematics HL Paper 3 for the IB Diploma (2026 Edition), one page per chapter. Every step is shown with the mark it earns. Free, no sign-up.

  • 18 chapters
  • 147 practice investigations
  • 33 Going further items
  • M1 / A1 / R1 marks on every step
Start at Chapter 1 About the book
Choose a chapter

Scan the QR code in any chapter of the book, or pick the chapter here. Try each question first, then open its solution and compare your working line by line, marks included.

Opening Chapter 1

Start here, both courses

  1. 1How Paper 3 works15 practice questions · 2 Going further

Part A Chapters 2 to 8

Analysis and Approaches HL

  1. 2Families of curves: explore, conjecture, justify8 practice questions · 3 Going further
  2. 3Polynomials, roots and complex numbers7 practice questions · 2 Going further
  3. 4Sequences, recurrences and proof by induction8 practice questions · 2 Going further
  4. 5Limits, Maclaurin series and approximation8 practice questions · 2 Going further
  5. 6Differential equations and their solution families7 practice questions · 2 Going further
  6. 7Calculus of curves, surfaces and motion7 practice questions · 3 Going further
  7. 8Probability models and generating functions8 practice questions · 2 Going further

Part B Chapters 9 to 15

Applications and Interpretation HL

  1. 9Testing claims: the statistics suite10 practice questions · 3 Going further
  2. 10One rate law, one differential equation9 practice questions · 2 Going further
  3. 11Coupled systems, Euler and phase portraits8 practice questions · 2 Going further
  4. 12Fitting and comparing growth models8 practice questions · 2 Going further
  5. 13Networks and Markov chains9 practice questions · 2 Going further
  6. 14Voronoi diagrams, vectors and optimal shapes9 practice questions · 2 Going further
  7. 15Unfamiliar definitions and new structures8 practice questions · 2 Going further

Practice papers and strategy Chapters 16 to 18

Six full papers, then the final chapter

  1. 16Practice papers: Analysis and approaches HL8 practice questions
  2. 17Practice papers: Applications and interpretation HL8 practice questions
  3. 18Final strategy and checklists2 practice questions
How to use the solutions

Mark your own work like an examiner

Each solution is written as an IB mark scheme: M1 for a method mark, A1 for an answer mark that depends on the method, R1 for reasoning and AG where the answer is given in the question. Where your method differs, check that each of your lines would earn the same marks.

The questions are in Photon Guidebook: Mathematics HL Paper 3 for the IB Diploma, available as an e-book. The book gives calculator keystrokes for the TI-Nspire CX II and the Casio fx-CG50. Try each investigation on paper first; the solutions are best used to mark your own working.

Questions © 2026 Photon Academy IB Tuition. Original IB-style questions; not IB past-paper questions. This site is independent and not endorsed by the IB.