Skip to the content of the web site.

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 grades 7 & 8 classes. These resources are provided for both students and teachers. Please use them!

Junior - Grades 7/8



Fall 2016 Winter 2017
Mathematical Puzzles [pdf, solns, video]
Continued Fractions [pdf, solns, video]
Sequences [pdf, solns, video]
Visual Group Theory [pdf, solns, video]
The Matrix [pdf, solns, video]
Combinatorial Counting [pdf, solns, video]
Areas of Triangles [pdf, solns, video]
Math Jeopardy [pdf, solns, video]
Number Theory [pdf, solns]
Game Theory [pdf, solns]
Sets [pdf, solns]
Fractais [pdf, solns]
Spatial Visualization and Origami [pdf, solns]
Geometric Arithmetic [pdf, solns]
Math Olympics [pdf, solns]
Gauss Prep [pdf, solns]

Fall 2015 Winter 2016
Greek Constructions [pdf, solns, video]
Graph Theory [pdf, solns, video]
Computer Science Algorithms [pdf, solns, video]
Combinatorial Games [pdf, solns, video]
Escher Tessellations [pdf, solns, video]
Logic [pdf, solns, video]
Knot Theory [pdf, solns, video]
Review [pdf, solns]
Logic Puzzles [pdf, solns, video]
Modular Arithmetic [pdf, solns, video]
Create Your Own Business [pdf, video]
Number Theory [pdf, solns, video]
Word Problems [pdf, solns, video]
Physics [pdf, solns, video]
Mathematical Thinking [pdf, solns, video]
Review [pdf, solns]

Fall 2014 Winter 2015
Exponents and Roots [pdf, solns, video]
Angles [pdf, solns, video]
Sequence [pdf, solns, video]
Series [pdf, solns, video]
Pythagorean Theorem [pdf, solns, video]
How We Make Money [pdf, solns, video]
Game Theory [pdf, solns, video]
Gauss Prep [pdf, solns]
Arithmetic Aerobics [pdf, solns, video]
Pi [pdf, solns, video]
Circle Geometry [pdf, solns, video]
Kinematics [pdf, solns, video]
Types of Numbers [pdf, solns, video]
Number Theory [pdf, solns, video]
Cryptography [pdf, solns, video]
Math Jeopardy [pdf, solns]

Fall 2013 Winter 2014
Algebra [pdf, solns, video]
History of Numbers [ pdf, solns, video]
Finance [pdf, solns, video]
Logic Puzzles [pdf, solns, video]
Similarity & Congruence [pdf, solns, video]
Mathematical Gems [pdf, solns, video]
Mathematical Games [pdf, solns, video]
Origami Math Trivia [pdf, solns, video]
Operations with Sets [pdf, solns, video]
Counting I [pdf, solns, video]
Counting II [pdf, solns, video]
Probability [pdf, solns, video]
Graph Theory I [pdf, solns, video]
Graph Theory II [pdf, solns, video]
Gauss Prep [pdf, solns, video]
Modular Arithmetic [pdf, solns, video]

Fall 2012 Winter 2013
Sequences and Series [pdf, solns]
Sets and Venn Diagrams [pdf, solns]
Counting [pdf, solns]
Geometric Arithmetic [pdf, solns]
Cryptography [pdf, solns]
Factors and Primes [pdf, solns]
Probability [pdf, solns]
Gauss Math Contest [pdf, solns]
Fibonacci Series [pdf, solns]
Pascals Triangle [pdf, solns]
2D Geometry [pdf, solns]
3D Geometry [pdf, solns]
Graph Theory [pdf, solns]
Circles, Circles, Circles [pdf, solns]
Gauss Preparation [pdf, solns]
Review Challenge [pdf, problem set, solns]

Fall 2011 Winter 2012
Mental Division [pdf, solns]
Modular Arithmetic [pdf, solns]
Prime Numbers [pdf, solns]
Fractals [pdf, solns]
Dimensional Analysis [pdf, solns]
Logic Puzzles [pdf, solns]
Polygonal Numbers [pdf, solns]
Jeopardy [pdf, solns]
Speedy, Speedy Arithmetic [pdf, solns]
Ancient Geometric Constructions [pdf, solns]
Algebraic Approaches [pdf, solns]
Spatial Visualization and Origami [pdf, solns]
Introduction to Graph Theory [pdf, solns]
Circuits [pdf, solns]
Gauss Contest Preparation [pdf, solns]
Math Olympics [pdf, solns]

Fall 2010 Winter 2011
Graphs and Transformations [pdf, solns]
Percents and Ratios [pdf, solns]
Statistics I [pdf, solns]
Statistics II [pdf, solns]
Pascal's Triangle [pdf, solns]
Number Theory [pdf]
Logic [pdf]
Game Theory [pdf, solns]
Cryptography and Binary Numbers [pdf, solns]
Commission, Taxes & Discounts [pdf, solns]
Markup & Markdown [pdf, solns]
Probability I [pdf, solns]
Probability II [pdf, solns]
Gauss Contest Preparation [pdf, solns]
Jeopardy [pdf, solns]

Sorry! Please download mp3 files to play


Fall 2009 Winter 2010
Counting [pdf, download mp3, listen]
Sets [pdf, download mp3, listen]
Probability [pdf, download mp3, listen]
Algebra I [pdf, download mp3, listen]
Algebra II [pdf, download mp3, listen]
2D Geometry I [summary, lesson, download mp3, listen]
2D Geometry II [pdf, download mp3, listen]
2D Geometry III [pdf, download mp3, listen]
Number Theory I [pdf, download mp3, listen]
Number Theory II [pdf, download mp3, listen]
Exponents [pdf, download mp3, listen]
Patterns [pdf, download mp3, listen]
3D Geometry I [pdf, download mp3, listen]
3D Geometry II [pdf, download mp3, listen]
Data Analysis [pdf, download mp3, listen]
Gauss Preparation [pdf]


Previous Weekly Presentations and Related Student Exercises


Junior Grade 6 Home Intermediate Senior