MAA

exercise

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

SL

HL

Topic 1. Number and algebra

[MAA SL 1.1-1.2 Numbers-Methods of proof] [Q] [S]
[MAA SL 1.3-1.6 Sequences] [Q] [S]
[MAA SL 1.7 Binomial theorem] [Q] [S]

[MAA HL 1.1-1.2 Numbers-Methods of proof] [Q] [S]
[MAA HL 1.3-1.6 Sequences] Updated 31/10/20 [Q] [S]
[MAA HL 1.7 Binomial theorem] [Q] [S]
[MAA HL 1.8 Mathematical induction] [Q] [S]
[MAA HL 1.9 Systems of linear equations] [Q] [S]
[MAA HL 1.10-1.11 Complex numbers (Cartesian)] [Q] [S]
[MAA HL 1.12-1.14 Complex numbers (polar)] [Q] [S]

Topic 2. Functions

[MAA SL 2.1-2.2 Lines-Quadratics] [Q] [S]
[MAA SL 2.3-2.5 Functions-Composition-Inverse] [Q] [S]
[MAA SL 2.6-2.7 Transformations-Asymptotes] [Q] [S]
[MAA SL 2.8-2.10 Exponents and logarithms] [Q] [S]

Topic 3. Geometry and trigonometry

[MAA SL 3.1-3.3 3D geometry-Triangles] [Q] [S]
[MAA SL 3.4 Arcs and sectors] [Q] [S]
[MAA SL 3.5-3.6 Trigonometric equations] [Q] [S]
[MAA SL 3.7 Trigonometric functions] [Q] [S ]

[MAA HL 3.1-3.4 3D geom-Triangles-Arcs/sectors] [Q] [S]
[MAA HL 3.5-3.9 Trig equations and functions] [Q] [S]
[MAA HL 3.10-3.14 Vectors-Equations of lines] [Q] [S]
[MAA HL 3.15-3.18 Cross product-Planes] [Q] [S]

Topic 4. Statistics and probability

[MAA SL 4.1-4.3 Statistics - Basic Concepts] [Q] [S]
[MAA SL 4.4 Linear regression] [Q] [S]
[MAA SL 4.5-4.8 Probability] [Q] [S]
[MAA SL 4.9-4.11 Distributions-Binomial-Normal] [Q] [S]

The last document is under construction.

CLICK HERE for an older version

[MAA HL 4.1-4.4 Statistics] [Q] [S]
[MAA HL 4.5-4.8 Probability] [Q] [S]
[MAA HL 4.9-4.10 Discrete distribution-Binomial] [Q] [S]
[MAA HL 4.11-4.12 Continuous distribution-Normal] [Q] [S]
[MAA HL 4.13 Counting and probability] [Q] [S]

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

[MAA HL 5.1-5.4 Derivatives] [Q] [S]
[MAA HL 5.5-5.7 Monotony-Concavity-Optimtn] [Q] [S]
[MAA HL 5.8-5.9 & 5.16 Ind integrals-Substitution] [Q] [S]
[MAA HL 5.10 & 5.18 Def integrals-Areas-Volumes] [Q] [S]
[MAA HL 5.11 Kinematics] [Q] [S]
[MAA HL 5.12-5.13 Continuity and diff/ty-l'Hopital] [Q] [S]
[MAA HL 5.14-5.15 Implicit diff-Rate of change] [Q] [S]
[MAA HL 5.17 Integration by parts] [Q] [S]
[MAA HL 5.19 Differential equations] [Q] [S]
[MAA HL 5.20 Maclaurin series] [Q] [S]

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)