Waterloo CEMC Math Competition Resources — Past Papers Archive
Free textbooks covering Canadian high school mathematics — Ontario curriculum for English students and Quebec PFEQ chapters in French.
De-streamed: number sense, algebra, geometry, data & coding
Quadratics, analytic geometry, trigonometry, systems
Quadratic, exponential, trigonometric functions; sequences
Polynomial, rational, exponential, logarithmic, trig functions
Limits, derivatives, applications of calculus, 3D vectors
Permutations, probability, statistics, distributions, projects
Ordre des opérations, fractions, pourcentages, exposants, notation scientifique
Variables, équations, inéquations, systèmes, factorisation
Figures planes, triangles, transformations, aire et volume
Fonctions du 1er et 2e degré, graphiques, exercices — Québec
Fonctions trig, identités, loi des sinus et cosinus
Collecte de données, mesures, diagrammes, corrélation
Fonctions exponentielles, logarithmiques, rationnelles, absolues
Suites arithmétiques et géométriques, probabilités, dénombrement
Limites, dérivées, règles de dérivation, applications
Intégrales, techniques d'intégration, applications géométriques
Vecteurs, matrices, systèmes linéaires, transformations
Canada's mathematics curriculum varies by province, with Ontario and Quebec offering two of the most rigorous programs. Ontario students follow a course-code system (e.g., MPM2D for Grade 10 Academic, MCV4U for Grade 12 Calculus & Vectors), while Quebec's francophone system progresses through Secondaire 1–5 before CEGEP-level differential and integral calculus.
MathHub provides free interactive textbooks for both streams: Ontario Grades 9–12 (including Functions, Advanced Functions, and Calculus & Vectors) and Quebec Secondaire through CEGEP (covering arithmétique, algèbre, géométrie, trigonométrie, and calcul différentiel/intégral). Each chapter includes worked examples, interactive Desmos graphs, and practice problems with step-by-step solutions.
For students preparing for university, CEMC competitions (Gauss, Pascal, Cayley, Fermat, Euclid) are widely recognized by Canadian universities as evidence of mathematical ability. Our archive provides past papers with full solutions to help students prepare effectively.
French & English math guides, contest tips & weekly Canada math news
IB & AP exam dates · Gauss/CEMC alerts · New past papers · Free resources
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