IB HL Maths

Here is the link: HL Maths notes

If you take the statistics option, here are some example ‘trick’ questions that should interest you (there aren’t many, but I hope they are of high quality):

Statistics worked examples

Contents

  1. Algebra
    1. Sequences and series
    2. Summation
    3. Permutations and combinations
    4. The Binomial Theorem
    5. Mathematical induction
  2. Functions and equations
    1. Graphs
    2. Polynomials
    3. Circular functions and trigonometry
    4. Systems of equations
  3. Vectors
    1. Scalar products
    2. Vector products
    3. Projections and resolving vectors
    4. Straight lines
    5. Planes
  4. Calculus
    1. Differentiation
    2. Integration
    3. Definite integrals
  5. Probability and Statistics
    1. Probability
    2. Discrete random variables
    3. Discrete distributions
    4. Continuous random variables
    5. The Normal distribution
    6. Sampling
    7. Estimators
    8. Confidence intervals
    9. Hypothesis testing
    10. PGFs
    11. Bivariate data and correlations
  6. Complex numbers
    1. Forms of complex numbers
    2. Operations on complex numbers
    3. Relation to trigonometry
    4. Polynomials
    5. Roots of complex numbers
  7. Miscellaneous

About the notes

How one should study maths

Here’s an interesting quote, which is of some relevance to HL maths:

Be as the bird, and wing it - Anon

‘Winging it’ is an expression used by students to signify that they have done no preparation for a test and are instead hoping they come up with something on the spot. When I say that HL maths involves ‘winging it’, I don’t mean to say that there’s no preparation, but that it involves a lot of improvisation. These notes are what should be remembered going into the exam: useful facts or relationships that will save you time. I think that’s how maths should be done: make sure you have all of the concepts in your head, but when it comes down to it, it’s all about applying these concepts. Obviously, to practice this, you ought to do past papers. But do them actively, making sure you understand what you are doing.