Mathematics: analysis and approaches


  • Numbering of the documents is in accordance with my lecture notes
  • [MAA  ... ]    = Questions together with extra space for answers
  • [Q  = Questions only, with no extra space for answers [eco-friendly]
  • [S]    = Solutions




Topic 1. Number and algebra

Topic 2. Functions

Topic 3. Geometry and trigonometry

Topic 4. Statistics and probability

The last document is under construction.

CLICK HERE for an older version

Topic 5. Calculus

  • [MAA SL 5.1-5.4 Derivatives]                                     [Q]  [S]
  • [MAA SL 5.5-5.5 Monotony-Concavity-Optimtn]      [Q]  [S]
  • [MAA SL 5.8-5.9 Indefinite integrals-Substitution]   [Q]  [S]
  • [MAA SL 5.10 Definite integrals-Areas]                     [Q]  [S]
  • [MAA SL 5.11 Kinematics]                                           [Q]  [S]

The documents in black are under construction.

CLICK HERE for older versions

The last two documents are under construction.

Care has been taken for the questions to be in order of difficulty. For each topic there are 3 types of exercises

  • A. Practice Questions: My questions on basic understanding of theory
  • B. Past Paper Questions (SHORT): SECTION A questions (IBO)
  • C. Past Paper Questions (LONG}: SECTION B questions (IBO)


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