Math AA
analysis and approaches
exercise
NEW EDITION
The numbering of the documents is in accordance with my lecture notes.
GREEN documents
for the common SL and HL content
RED documents
for the HL content only
- 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
Questions are labelled as follows:
for GREEN documents
- no asterisk normal for SL - easy for HL
- (*) hard for SL - normal for HL
- (**) optional for SL - mainly for HL
for RED documents
- no asterisk normal for HL
- (*) hard for HL
[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]
- [MAA 1.11-1.12] Complex numbers (Cartesian form) [solutions] [eco]
- [MAA 1.13-1.15] Complex numbers (Polar form} [solutions] [eco]
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
- [MAA SL 4.1-4.3 Statistics - Basic Concepts] [solutions] [eco]
I am reconstructing the last two topics. At the moment, please visit the OLD VERSION below.
IIV
OLD EDITION
(It will be gradually removed by the end of this academic year)
In that old edition, SL exercises and HL exercises were classified in separate documents
SL
HL
Topic 4. Statistics and probability
Topic 5. Calculus
- [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]