AMC 10· Study notes
Competition
AMC 10 preparation: algebra, counting, number theory and geometry at contest depth, with full-length practice contests.
What you'll be able to do
- Attack AMC 10 problems 1–25 systematically
- Use the algebraic and geometric weapons that recur
Read the notes as a guided lesson
Walk the notes one box at a time — prose, worked examples, quick checks — with a timed practice round after every section. For the full course with interactive lessons, go back to the course.
Every test ends with a score by topic and a list of what to revisit. Test out of a topic with 80% or better to mark it mastered.
Topics
Circles & Lines
5 lessonsDistances, angle bisectors, tangents, and conic meetings
Algebra & Polynomials
3 lessonsVieta, the remainder theorem, and systems
Counting: Inclusion–Exclusion & Stars and Bars
3 lessonsThe two workhorses of AMC counting
Number Theory: Modular Arithmetic
3 lessonsCongruences, Fermat, and bases
Geometry: Power of a Point & Mass Points
3 lessonsCircle power and weighted balancing
Algebraic Weapons
3 lessonsFactorizations and substitutions that crack hard problems
Where the Formulas Come From
5 lessonsThe quadratic formula, series sums, and circle power — derived
Identities and Techniques, Proved
9 lessonsThe hockey stick, Vandermonde, absorption, stars and bars, inclusion–exclusion and linearity — each one proved, not just stated