✏️ Euclid · AMC 12

Euclid / AMC 12 — Level 2

Intermediate problem solving targeting the hardest Waterloo Grade 11–12 contest problems and the upper range of the AMC 12.

Course Purpose

Students completing this level will be equipped to solve Part C problems in the University of Waterloo contests for Grades 11 and 12, and problems 15–25 in the AMC 12 competition.

🏫 UW Contests Gr. 11–12 — Part C 🏆 AMC 12 — Problems 15–25

Curriculum

🔢

Combinatorics

  • Combinatorial Identities
  • Stars and Bars
  • Geometric Counting
  • Geometric Probability
  • Expected Value
  • Recursion
📊

Algebra

  • Polynomial Roots
  • Vieta's Formulas
  • The Rational Root Theorem
  • Complex numbers
  • Systems of Equations
  • Speed, Distance, Time
🔍

Number Theory

  • Algebraic Number Theory
  • Diophantine Equations
  • Fermat's Little Theorem, Wilson's Theorem
  • Chinese Remainder Theorem
  • Bases of Numeration
📐

Geometry

  • Concurrence theorems
  • Important lines in triangles
  • Circles, Power of a point, Radical axes, Cyclic quadrilaterals
  • Trigonometry and its use in geometry
Enrol in This Course ← All Courses