notes 72
- Pythagoras' theorem
- Parallelograms
- Polygons
- Quadratic reciprocity
- Infinite descent
- Lifting the exponent
- Simon Marais Mathematics Competition (SMMC) Online Camp
- IMO Training Camp 2025
- Triangles
- Primes
- Orders
- Gauss's lemma
- Chinese remainder theorem
- System of equations
- Primes, divisors, and congruences
- Binomial coefficients
- Using identities
- Cubic polynomials
- Quadratic polynomials
- Induction
- Functions
- Inequalities
- System of equations
- Functional equations
- Integer divisibility
- Lagrange interpolation
- Crossing the $x$-axis
- Roots of unity
- Size of the roots
- Generating functions
- Counting in two different ways
- Counting the complement
- Counting via bijections
- Counting
- Grouping in pairs
- Arrange in order
- Extremal principle
- Pigeonhole principle
- Invariance principle
- Inclusion-exclusion principle
- Induction
- Auxiliary configuration
- Rational and irrational numbers
- Arithmetic progressions
- IOQM 2023
- RMO 2024 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2023 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2019 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2018 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2017 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2016 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2015 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2014 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2013 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2012 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2011 Questions, Hints, Walkthroughs, Discussions, Solutions
- RMO 2010 Questions, Hints, Walkthroughs, Discussions, Solutions
- Binomial theorem
- Growth of polynomials
- Telescoping
- Finite differences
- Differentiation and multiple roots
- Viete's relations
- Quartics
- Cubic polynomials
- Quadratic polynomials
- Polynomials
- Invariance principle
- $a^3 + b^3 + c^3 - 3abc$
- Warm Up (Algebra)
- Coloring proofs
- Warm Up (Combinatorics)