# International Baccalaureate® (IB)

## IB Resources – Notes, Past Papers, Books,….

### Other Notes

##### Math AA

###### Exercise:-

Topic 1. Number and algebra

complex numbers

Topic 2. Functions

Topic 3. Geometry and trigonometry

trigonometry

vectors

Topic 4. Statistics and probability

statistics

•  + only for HL:

probability

Topic 5. Calculus

###### Math AA HL P3 questions:-

involves: Trigonometry, Limits, Maclaurin series, Recursion

(from specimen 2019)

[Question]

[Solution]

involves: Functions, Trigonometry, Differentiation

(from specimen 2019)

[Question]

[Solution]

involves: Trigonometry, Differentiation, Limits

(from specimen no. 2)

[Question]

[Solution]

involves: Complex numbers

(from specimen no. 2)

[Question]

[Solution]

###### Sequences – Binomial theorem – Mathematical induction

OLD TESTS  (from Math HL – before 2019)

• [word]        sequences
• [word]        sequences – binomial theorem – induction
• [word]        sequences – binomial theorem – induction

NEW TESTS  (for Math AA HL – since 2019)

• [word]        sequences – binomial theorem 1
• [word]        sequences – binomial theorem 2 [similar to test 4 above]
• [word]        induction 1
• [word]        induction 2  [similar to test 6 above]
###### Functions – Polynomials :-

OLD TESTS (from Math HL – before 2019)

NEW TESTS (for Math AA HL – since 2019)

###### Exponents – Logarithms:-

OLD TESTS (from Math HL – before 2019)

•     [word]        exponents – logarithms
•      [word]        exponents – logarithms – polynomials
•      [word]        exponents – logarithms

NEW TESTS (for Math AA HL – since 2019)

•      [word]        exponents – logarithms 1
•     [word]        exponents – logarithms 2 [similar to Test 4 above]

###### Trigonometry:-

OLD TESTS (from Math HL – before 2019)

•      [word]        trigonometry
•      [word]        trigonometry
•      [word]        trigonometry
•            trigonometry
•      [word]        trigonometry
•      [word]        trigonometry 1
•     [word]        trigonometry 2

NEW TESTS (for Math AA HL – since 2019)

###### Vectors:-

OLD TESTS (from Math HL – before 2019)

NEW TESTS (for Math AA HL – since 2019)

###### Statistics – Probability:-

OLD TESTS (from Math HL – before 2019)

NEW TESTS (for Math AA HL – since 2019)

###### Derivatives:-

OLD TESTS (from Math HL – before 2019)

NEW TESTS (for Math AA HL – since 2019)

###### Integrals:-

OLD TESTS (from Math HL – before 2019)

NEW TESTS (for Math AA HL – since 2019)

###### Complex numbers:-

OLD TESTS (from Math HL – before 2019)

NEW TESTS (for MAA HL – since 2019)

###### REVISION TESTS :-

OLD TESTS (from Math HL – before 2019)

##### Math AA SL Tests:-
###### Sequences – Binomial theorem:-
OLD TESTS (from Math SL – before 2019)
NEW TESTS (for MAA SL – since 2019)

###### Lines – Quadratics – Functions:-
OLD TESTS (from Math SL – before 2019)
NEW TESTS (for MAA SL – since 2019)

###### Exponents – Logarithms:-

OLD TESTS (from Math SL – before 2019)

•      [word]        exponents – logarithms

NEW TESTS (for MAA SL – since 2019)

###### Trigonometry:-

OLD TESTS (from Math SL – before 2019)

•      [word]        trigonometry
•     [word]        trigonometry
•      [word]        trigonometry
•      [word]        triangles – arcs and sectors
•      [word]        trigonometry

NEW TESTS (for MAA SL – since 2019)

###### Derivatives:-

OLD TESTS (from Math SL – before 2019)

•      [word]        derivatives
•      [word]        derivatives

NEW TESTS (for MAA SL – since 2019)

###### Integrals:-

OLD TESTS (from Math SL – before 2019)

•      [word]        integrals
•      [word]        integrals
•      [word]        integrals

NEW TESTS (for MAA SL – since 2019)

###### Statistics and Probability:-

OLD TESTS (from Math SL – before 2019)

•      [word]        statistics

NEW TESTS (for MAA SL – since 2019)

#### Math AI

###### Lecture Notes (Math AI):-

Topic 1. Number and algebra

Topic 2. Functions

Topic 3. Geometry and trigonometry

Topic 4. Statistics and probability

Topic 5. Calculus

###### Math AI Exercise:-

Topic 1. Number and algebra

1A. Basic algebra

• ——————————————————

1B. Complex numbers – Matrices

• ————————————————-

Topic 2. Functions

2A. Theory of functions

• [MAI 2.1] Lines                                                           [S]
• ——————————————————

2B. Modelling with functions

• ——————————————————
• [MAI 2.20-2.24] Other Models – Linearization        [S]

Topic 3. Geometry and trigonometry

3A. Trigonometry

• —————————————————-

3B. Vectors – Graph theory

• ——————————————————-
•

Topic 4. Statistics and probability

Topic 4A. Descriptive Statistics – Probability

• ——————————————————-
• [MAI 4.15] Markov chains                                          [S]

Topic 4B. Further Statistics

• ——————————————————-

Topic 5. Calculus

Topic 5A. Differentiation

• —————————————————–

Topic 5B. Integration

• ———————————————–

###### Math AI P3 – Questions:-

involves: Statistics – Hypothesis Testing

(from specimen 2019)

[Question]

[Solution]

involves: Modelling functions, Diff. equations, Euler’s method

(from specimen 2019)

[Question]

[Solution]

involves: Modelling functions, Distributions

(from specimen no. 2)

[Question]

[Solution]

involves: Sequences, Matrices – Transformations

(from specimen no. 2)

[Question]

[Solution]

###### Math AI HL Tests:-

CUMULATIVE TESTS – MOCK EXAMS

• [Exam 1]   [solutions]    [word]          Sequences, Exponents and Logarithms, Functions, Modelling
• [Exam 2]  [solutions]    Trigonometry, Descriptive Statistics, Probability distributions