Free worked solutions · 2026 Edition

Worked solutions: IB Maths AI HL guidebook

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

  • 24 chapters
  • 568 practice questions
  • 55 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.

Volume 1 Chapters 1 to 12

Chapters 1 to 12

  1. 1Number, approximation and error26 practice questions · 1 Going further
  2. 2Sequences, series and financial mathematics26 practice questions · 2 Going further
  3. 3Exponents and logarithms26 practice questions · 2 Going further
  4. 4Complex numbers26 practice questions · 2 Going further
  5. 5Matrices, eigenvalues and Markov chains26 practice questions · 3 Going further
  6. 6Functions and graphs25 practice questions · 2 Going further
  7. 7Modelling with functions and regression26 practice questions · 2 Going further
  8. 8Trigonometry and three-dimensional geometry26 practice questions · 2 Going further
  9. 9Voronoi diagrams26 practice questions · 1 Going further
  10. 10Vectors26 practice questions · 3 Going further
  11. 11Matrix transformations25 practice questions · 2 Going further
  12. 12Graph theory26 practice questions · 3 Going further

Volume 2 Chapters 13 to 24

Chapters 13 to 24

  1. 13Describing data26 practice questions · 2 Going further
  2. 14Correlation and regression25 practice questions · 2 Going further
  3. 15Probability21 practice questions · 3 Going further
  4. 16Probability distributions26 practice questions · 3 Going further
  5. 17Hypothesis tests and confidence intervals26 practice questions · 2 Going further
  6. 18Differentiation25 practice questions · 3 Going further
  7. 19Integration26 practice questions · 3 Going further
  8. 20Kinematics24 practice questions · 2 Going further
  9. 21Differential equations26 practice questions · 3 Going further
  10. 22Coupled systems and phase portraits25 practice questions · 3 Going further
  11. 23Paper 3: modelling investigations2 investigations · 4 Going further
  12. 24Exam strategy6 timed 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 Applications and Interpretation HL for the IB Diploma, available as an e-book in two volumes. The book gives calculator keystrokes for the TI-Nspire CX II and the Casio fx-CG50.

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.