CEMC

Proof by contradiction is one of the most powerful tools in a mathematician’s toolkit, and one … Math Proof by Contradiction: Classic Examples and How It Works (Euclid Contest Guide)Read more

A tangent line to a circle is one of the most useful geometric objects in Ontario … Tangent Line to a Circle: Theorems, Equations and Cayley Contest ProblemsRead more

Trigonometric identities are one of the topics that separate strong Grade 11–12 math students from exceptional … Trigonometric Identities Sheet: Complete Reference for Grade 11–12 and the Euclid ContestRead more

Integers — positive numbers, negative numbers, and zero — appear in real-world contexts that students encounter … Integer Word Problems: Every Type Explained with Worked Examples (Grade 7–9 and Pascal Contest)Read more

Percentages appear in almost every real-world context — discounts, taxes, interest, test scores, population changes. They … Percentages in Word Problems: Every Type Explained with Worked Examples (Grade 9 and Pascal Contest)Read more

Quadratic word problems are where the algebra becomes real. Students who can expand and factor a … Quadratic Word Problems: Every Type Explained with Worked Examples (Grade 10 and Cayley Contest)Read more

Special triangles in trigonometry are the two right-angled triangles that show up everywhere in Grade 10 … Special Triangles in Trigonometry: Grade 10 and 11 GuideRead more