Math AA
analysis and approaches
exercise
New Edition
The numbering of the documents is in accordance with my lecture notes. Questions are labeled as follows
GREEN documents
for the common SL and HL content
- no asterisk normal for SL - easy for HL
- (*) hard for SL - normal for HL
- (**) optional for SL - mainly for HL
RED documents
for the HL content only
- no asterisk normal for HL
- (*) hard for HL
- O. Practice questions: on basic understanding of theory
- A. Exam style questions (SHORT): for the SECTION A of the exam
- B. Exam style questions (LONG}: for the SECTION B of the exam
[eco] documents contain questions only (no extra space for working out)
Topic 1. Number and algebra
- [MAA 1.1] Numbers - Rounding [solutions] [eco]
- [MAA 1.2-1.3] Arithmetic sequences [solutions] [eco]
- [MAA 1.4] Geometric sequences [solutions] [eco]
- [MAA 1.5] Percentage change - Financial applications [solutions] [eco]
- [MAA 1.6] Binomial theorem [solutions] [eco]
- [MAA 1.7] Deductive proof [solutions] [eco]
- [MAA 1.8] Methods of proof [solutions] [eco]
- [MAA 1.9] Mathematical induction [solutions] [eco]
- [MAA 1.10] Systems of linear equations [solutions] [eco]
complex numbers
Topic 2. Functions
- [MAA 2.1] Lines [solutions] [eco]
- [MAA 2.2] Quadratics [solutions] [eco]
- [MAA 2.3] Functions - Domain - Range - Graph [solutions] [eco]
- [MAA 2.4-2.5] Composition - Inverse function [solutions] [eco]
- [MAA 2.6] Transformations [solutions] [eco]
- [MAA 2.7] Asymptotes [solutions] [eco]
- [MAA 2.8] Exponents [solutions] [eco]
- [MAA 2.9] Logarithms [solutions] [eco]
- [MAA 2.10] Exponential Equations [solutions] [eco]
- [MAA 2.11-2.12] Polynomials [solutions] [eco]
- [MAA 2.13-2.15] Rational-Modulus functions - Inequalities [solutions] [eco]
- [MAA 2.16] Symmetries of functions - More transformations [solutions] [eco]
Topic 3. Geometry and trigonometry
trigonometry
- [MAA 3.1-3.3] 3D Geometry - Triangles [solutions] [eco]
- [MAA 3.4] Arcs and Sectors [solutions] [eco]
- [MAA 3.5] sin, cos, tan on the unit circle - Identities [solutions] [eco]
- [MAA 3.6] Trigonometric equations [solutions] [eco]
- [MAA 3.7] Trigonometric functions [solutions] [eco]
- [MAA 3.8] More trigonometric identities - equations [solutions] [eco]
- [MAA 3.9] More trigonometric functions [solutions] [eco]
vectors
Topic 4. Statistics and probability
statistics
- [MAA 4.1-4.3] Statistics - Basic Concepts [solutions] [eco]
- + only for HL: [MAA(HL) 4.1-4.3] Statistics - Basic Concepts [solutions] [eco]
- [MAA 4.4] Linear regression [solutions] [eco]
probability
- [MAA 4.5-4.7] Probability I (Venn diagrams - tables) [solutions] [eco]
- [MAA 4.8] Probability II (Tree diagrams) [solutions] [eco]
- [MAA 4.9] Discrete distributions in general [solutions] [eco]
- [MAA 4.10] Binomial distribution [solutions] [eco]
- [MAA 4.11] Normal distribution [solutions] [eco]
- [MAA 4.12] Continuous distributions in general [solutions] [eco]
- [MAA 4.13] Counting and probability [solutions] [eco]
Topic 5. Calculus
I am reorganizing this topic. At the moment, please visit the old version below. SL exercises and HL exercises were classified in separate documents
old version
SL
HL
- [MAA SL 5.1-5.3 Derivatives-Tangent and Normal] [Q] [S]
- [MAA SL 5.4 Chain rule] [Q] [S]
- [MAA SL 5.5-5.6 Monotony & Concavity-Graph f'] [Q] [S]
- [MAA SL 5.7 Problems of optimisation] [Q] [S]
- [MAA SL 5.8-5.9 Indefinite integrals] [Q] [S]
- [MAA SL 5.10 Definite integrals-Areas] [Q] [S]
- [MAA SL 5.11 Kinematics] [Q] [S]
- [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]