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Math Circle Presentations

The Waterloo Math Circles is a free weekly enrichment activity for grade 6 to 12 students organized by the Faculty of Mathematics of the University of Waterloo.

Information about the audience, dates and location.

Listed below are summaries of previous weekly presentations and related student exercises for the intermediate classes. These resources are provided for both students and teachers. Please use them!

Intermediate



Fall 2016 Winter 2017
Geometry I - Angles [pdf, prob set, solns, video]
Geometry II - Side Lengths [pdf, prob set, solns, video]
Geometry III - Circles [pdf, prob set, solns, video]
Mathematical Games I [pdf, prob set, solns , video]
Mathematical Games II [pdf, prob set, solns, video]
Mathematical Games III [pdf, prob set, solns, video]
Modular Arithmetic I [pdf, prob set, solns, video]
Modular Arithmetic II [pdf, prob set, solns, video]
Graph Theory I [pdf, prob set, solns, video]
Graph Theory II [pdf, prob set, solns, video]
Graph Theory III [pdf, prob set, solns, video]
Sequences & Series I [pdf, prob set, solns, video]
Sequences & Series II [pdf, prob set, solns, video]
Analytic Geometry I [pdf, prob set, solns , No video]
Analytic Geometry II [pdf, prob set, solns, video]
Analytic Geometry III [pdf, prob set, solns, video]

Fall 2015 Winter 2016
Ratios [pdf, prob set, solns, video]
Rates I [pdf, prob set, solns, video]
Rates II [pdf, prob set, solns, video]
Counting I [pdf, prob set, solns, video]
Counting II [pdf, prob set, solns, video]
Counting III [pdf, prob set, solns, video]
Contest Triangles [pdf, prob set, solns, video]
Contest Prep [prob set, solns, video]
Contest Prep I: [pdf, prob set, solns, video]
Contest Prep II: [pdf, prob set, solns, video]
Contest Prep III: [ prob set, solns, video]
Vectors I [pdf, prob set, solns, video]
Vectors II [pdf, prob set, solns, video]
Vectors III [pdf, prob set, solns, video]
Data [pdf, prob set, solns, video]
Measurement Error [pdf, prob set, solns, video]

Fall 2014 Winter 2015
Geom I: Angles [pdf, prob set, solns, video]
Geom II: Side lengths [pdf, prob set, solns, video]
Geom III: Circle Geom
[pdf, prob set, solns, video]
Geom IV: More Circle Geom
[pdf, prob set, solns, video]
Equations & Inequalities I
[pdf, prob set, solns, video]
Equations & Inequalities II
[pdf, prob set, solns, video]
CSIMC Sample [prob set, solns, video]
CIMC & Puzzles [ prob set, slideshow, video]
Contest Prep I [pdf, prob set, solns, slideshow, video]
Contest Prep II [pdf, solns, slideshow, video]
Patterns and Sequences [pdf, solns, video]
Series and Induction [pdf, solns, video]
Population Models [pdf, solns, video]
Population Models II [pdf, video]
Analytic Geometry [pdf, prob set, solns, video]
Analytic Geometry II [pdf, prob set, solns, video]

Fall 2013 Winter 2014
Oct 9/13 Ratio [pdf, prob set, solns, video]
Oct 16/13 Rates I [pdf, prob set, solns, video]
Oct 23/13 Rates II [pdf, prob set, solns, video]
Oct 30/13 Rates III [pdf, prob set, solns, video]
Nov 6/13 Counting I [pdf, prob set, solns, video]
Nov 13/13 Counting II [pdf, prob set, solns, video]
Nov 20/13 Counting III [pdf, prob set, solns, video]
Nov 27/13 Favorite Problems [pdf, video]

Contest Prep I [pdf, prob sets, answers, solns, video]
Contest Prep II [pdf, prob sets, answers, solns, video]
Contest Prep III
[pdf, prob sets, answers, solns, video]
Diophantine [pdf, solns, video]
Diophantine II [pdf & solns, slideshow, video]
Cryptography I [pdf, solns, video]
Cryptography II [pdf, solns, video]
Cryptography III [pdf, solns, video]


Fall 2012 Winter 2013
Geometry I Angles [pdf, prob set, solns]
Geometry II [pdf, prob set, solns, video]
Geometry III [pdf, prob set, solns, video]
Geometry IV [pdf, prob set, solns, video]
Problem Solving [pdf, prob set, solns]
Eqns & Inequalities - 1 Var
[pdf, prob set, solns, video]
Eqns & Inequalities - 2 Var [pdf, prob set, solns]
Linear Optimization [pdf, prob set, solns, video]
Contest Prep I [prob set, solns]
Contest Prep II [prob set, solns, slideshow, video]
Analytic Geometry I [pdf, prob set, solns]
Analytic Geometry II [review, prob set, solns, video]
Number Theory I [pdf, prob set, solns, video]
Number Theory II [pdf, prob set, solns, video]
Sequences & Series I [pdf, prob set, solns, video]
Sequences & Series II [pdf, prob set, solns, video]

Fall 2011 Winter 2012
Ratios [pdf, prob set, solns, video]
Rates I [pdf, prob set, solns, video]
Rates II [pdf, prob set, solns, video]
Counting I [pdf, prob set, solns, video]
Counting II [pdf, prob set, solns, video]
Counting III [pdf, prob set, solns, video]
Contest Prep I [pdf, video]
Contest Prep II [pdf, video]
Contest Prep [pdf, prob set, solns, video]
Contest Prep II [pdf, prob set, solns, video]
Contest Prep III [pdf, prob set, solns, video]
Linear Diophantine Eqns I
[pdf, prob set, solns, video]
Linear Diophantine Eqns II
[pdf, prob set, solns, video]
Probability [pdf, solns, video]
Probability: Expectation & Ruination
[pdf, solns, video]
The Unreasonable Effectiveness of Mathematics
[video]

Fall 2010 Winter 2011
Geometry I [pdf, video]
Geometry II [pdf, video]
Geometry III [pdf, video]
Sequences & Series I [pdf, video]
Sequences & Series II [pdf, prob set, video]
Sequences & Series III [pdf, prob set, video]
Equations and Inequalities I [pdf, video]
Equations and Inequalities II [pdf, video]
Contest Prep. I [pdf, prob set, solns, video]
Contest Prep. II [pdf, prob set, video]
Number Theory I [prob set, solns, video]
Number Theory II [prob set, solns, video]
Number Theory III [prob set, video]
Analytic Geo I [pdf, prob set, solns, video]
Analytic Geo II [pdf, prob set, solns, video]

Sorry! Please download mp3 files to play


Fall 2009 Winter 2010
Ratios [pdf]
Rates [pdf]
Rates II [pdf]
Counting I [pdf]
Counting II [pdf]
Counting III [pdf]
Diophantine Equations I [pdf]
Diophantine Equations II [pdf]
Contest Prep I [pdf]
Contest Prep II [pdf]
Contest Prep III [pdf]
Linear Equations I [pdf, download mp3, listen]
Linear Equations II [pdf, download mp3, listen]
Linear Equations III [pdf, download mp3, listen]
Random Walks I [pdf]
Random Walks II [pdf]

Fall 2008 Winter 2009
Number Theory I [pdf]
Number Theory II [pdf]
Number Theory III [pdf]
Geometry I [pdf]
Geometry II [pdf]
Geometry III [pdf]
Probability I [pdf]
Probability II [pdf]
PCF Prep I [pdf]
PCF Prep II [pdf]
PCF Sequences [pdf]
Series pdf [pdf]
Sequences & Series [pdf]
Analytic Geometry I [pdf]
Analytic Geometry II [pdf]


Previous Weekly Presentations and Related Student Exercises


Junior Grade 6 Junior Grade 7 & 8 Home Senior