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Math Circle Presentations

Math Circles is a 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 Grade 6 classes. These resources are provided for both students and teachers. Please use them!

Grade 6


Fall 2022 Winter 2023
Number Systems [pdf, prob set, solns]
Counting [pdf, prob set, solns]
Mathematical Logic [pdf, prob set, solns]
BCC Prep [pdf, prob set, solns]
Set Theory [pdf, prob set, solns]
Geometric Constructions [pdf, prob set, solns]
Pascal's Triangle [pdf, prob set, solns]
Jeopardy [pdf]		 Functions, Relations, and Graphing [pdf, prob set, solns]
Graph Theory [pdf, prob set, solns]
Logic Puzzles [pdf, prob set, solns]
BCC/Gauss Prep [pdf, prob set, solns]
Transformations [pdf, prob set, solns]
Control Flow [pdf, prob set, solns]
Angles [pdf, prob set, solns]

Fall 2021 Winter 2022
Irrational Numbers [pdf, prob set, solns]
Divisibility [pdf, prob set, solns]
Probability [pdf, prob set, solns]
Linear Relations [pdf, prob set, solns]
Computer Science I [pdf, prob set, solns]
Computer Science II [pdf, prob set, solns]		 Percentages and Applications [pdf, prob set, solns, extension]
Circles [pdf, prob set, solns, extension]
Greek Aphabet [pdf, prob set, solns]
Cryptography [pdf, prob set, solns]

Fall 2020 Winter 2021
Modular Arithmetic [pdf, prob set, solns]
Counting I [pdf, prob set, solns]
Counting II [pdf, prob set, solns]
Logic Puzzles [pdf, prob set, solns]
Bijections & Binary Strings [pdf, prob set, solns]
Graph Theory [pdf, prob set, solns]		 The Golden Ratio [pdf, prob set, solns]
Set Theory [pdf, prob set, solns]
Exponents [pdf, prob set, solns]
Statistics [pdf, prob set, solns]
Functions [pdf, prob set, solns]
Graphing Functions [pdf, prob set, solns]

Fall 2019 Winter 2020
Counting & Probability [pdf, solns]
Algebra [pdf, solns]
Exponetiation [pdf, solns]
Sequences [pdf, solns]
Cryptography [pdf, solns]
A Number of Numbers [pdf, solns]
Circle Geometry [pdf, solns]
Jeopardy [pdf, solns]		 Mental Math [pdf, solns]
Applications [pdf, solns]
Black Holes [pdf, solns]
Infinity [pdf, solns]
Topology [pdf, solns]
Fractals [pdf, solns]
Unsolved Problems [pdf, solns]

Fall 2018 Winter 2019
Visual Vectors [pdf, solns]
Non-Euclidean Geometry [pdf, solns]
Structure of Math [pdf, solns]
Relations Functions & Morphisms [pdf, solns]
Area of Triangles [pdf, solns]
Matrices [pdf, solns]
Graph Interpretation [pdf, solns]
Jeopardy [pdf, solns] 		Arithmetic Tricks [pdf, solns]
Angles [pdf, solns]
Tessellations [pdf, solns]
Units & Dimensional Analysis [pdf, solns]
Platonic Solids [pdf, cut outs, solns]
Exponentiation [pdf, solns]
Counting [pdf, solns]
Jeopardy [pdf, solns]

Fall 2017 Winter 2018
Mathematical & Logical Puzzles [pdf, solns]
Ancient Mathematics [pdf, solns]
Shape Shifting [pdf, solns]
Spatial & Visual Thinking [pdf, solns]
Estimations [pdf, solns]
Algorithms [pdf, solns]
Cool Geometry [pdf, solns]
Math Jeopardy [pdf, solns]		 Number Theory [pdf, solns]
Graph Theory [pdf, solns]
Types Of Numbers [pdf, solns]
Math of Voting [pdf, solns]
Algebra [pdf, solns]
Circuits [pdf, solns]
Mathematical Magic [pdf]
Jeopardy [pdf, solns]

Fall 2016 Winter 2017
Cryptography [pdf, solns]
Exponents & Prime Numbers [pdf, solns]
Pascal's Triangle [pdf, solns]
Number Systems and Bases [pdf, solns]
Egyptian Mathematics [pdf, solns]
Clock Arithmetic [pdf, solns]
Arithmetic Tricks [pdf, solns]
Beaver Computing Challenge [pdf, solns]		 Game Theory [pdf, solns]
Sorting [pdf, solns]
Patterns [pdf, solns]
Abacus & Counting Rods [pdf, solns]
Magic and Latin Squares [pdf, solns]
Counting [pdf, solns]
Probability [pdf, solns]
Jeopardy [pdf, solns]

Fall 2015 Winter 2016
Algorithms [pdf, solns]
Tessellations [pdf, solns]
Estimation [pdf, solns]
Carl Friedrich Gauss [pdf, solns]
Combinatorial Games [pdf, solns]
Logic [pdf, solns]
Graph Theory [pdf, solns]
Review Challenge [pdf, solns] 		Series [pdf, solns]
Ancient Number Systems [pdf, solns]
Kinematics in Motion [pdf, solns]
Mechanics & Dynamics [pdf, solns]
Number Theory [pdf, solns]
Modular Arthmetic [pdf, solns]
Geometry [pdf, solns]
Review [pdf, solns]

Fall 2014 Winter 2015
Statistics [pdf, solns]
Probability [pdf, solns]
Algebra [pdf, solns]
Intro to Game Theory [pdf, solns]
Exponents [pdf, solns]
Cryptography [pdf, solns]
Ratios and Rates [pdf, solns]
Gauss Prep [pdf, solns] 		Sets [pdf, solns]
Counting [pdf, solns]
Sequences [pdf, solns]
Angles [pdf, solns]
Proportions [pdf, solns]
Prime Time [pdf, solns]
Pythagorean Theorem [pdf, solns]
Math Jeopardy [pdf, solns]

Fall 2013 Winter 2014
Algebra [pdf, solns]
Binary and Beyond [pdf, solns]
Dimensional and Unit Analysis [pdf, solns]
Shapeshifting [pdf, solns]
Multiplication [pdf, solns]
Divisibility [pdf, solns]
History of Cryptography [pdf, solns]
Origami & Math Trivia [pdf, solns]		 Introduction to Statistics [pdf, solns]
Graph Theory I [pdf, solns]
Graph Theory II [pdf, solns]
Unique Geometry [pdf, solns]
Pascal's Triangle [pdf, solns]
Circuits [pdf, solns]
Gauss Prep [pdf, solns]
Modular Arithmetic [pdf, solns]

Fall 2012 Winter 2013
Patterns [pdf, solns]
Logic [pdf, solns]
Tessellations [pdf, solns]
Percent [pdf, solns]
Binary Numbers [pdf, solns]
Rates and Ratios [pdf, solns]
Kinematics [pdf, solns]
Math Contest [pdf, solns]		 Working with Sets [pdf, solns]
Working with Abacuses [pdf, solns]
Estimation [pdf, solns]
Measurement [pdf, solns]
Mean Median Mode [pdf, solns]
Fractions [pdf, solns]
Pythagorean Theorem [pdf, solns]
Math Contest [pdf, solns]

Fall 2011 Winter 2012
Simplifying Equations [pdf, solns]
Math Magic [pdf, solns]
Ancient Number Systems [pdf, solns]
Introduction to Number Theory [pdf, solns]
Matrices I [pdf, solns]
Fibonacci and the Golden Ratio [pdf, solns]
Introduction to Topology [pdf, solns]
Jeopardy [pdf, solns, game] 		Arithmetic Tricks [pdf, solns]
Math Puzzles [pdf, solns]
Number Theory I [pdf, solns]
2D Geometry [pdf, solns]
Measurement and Geometry [pdf, solns]
Probability of Games [pdf, solns]
Intro. Caribou Mathematics Competition [pdf, solns]
Mathifed Jeopardy [pdf, solns]

Fall 2010 Winter 2011
Exponents and Binary Numbers [pdf]
Tessellations I [pdf]
Tessellations II [pdf]
Multiplication [pdf]
Order of Operations [pdf, solns]
Algebra [pdf, solns]
Sequences [pdf, solns]
Jeopardy [pdf]		 Cryptography and Tangrams [pdf, solns]
Surface, Area and Volume [pdf, solns]
Distance, Speed and Time [pdf, solns]
Counting [pdf, solns]
Combinations [pdf, solns]
Gauss Contest Preparation [pdf, solns]
Jeopardy [pdf, solns]


Previous Weekly Presentations and Related Student Exercises


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