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#
Math Circles Presentations

## 2020 - 2021 Weekly Presentations and Exercises

## Previous Weekly Presentations and Related Student Exercises

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 in the tables below are summaries of the weekly presentations and related student exercises for the current year. Links to materials from previous years are below the tables. These resources are provided for both students and teachers. Please use them!

Fall 2020 | |

Junior Grade 6 |
Oct 14/20 Modular Arithmetic [pdf, prob set, solns] Oct 21/20 Counting I [pdf, prob set, solns] Oct 28/20 Counting II [pdf, prob set, solns] Nov 11/20 Logic Puzzles [pdf, prob set, solns] Nov 18/20 Bijections & Binary Strings [pdf, prob set, solns] Nov 25/20 Graph Theory [pdf, prob set, solns] |

Junior Grades 7 & 8 |
Oct 14/20 BCC Prep - Problem Set [pdf, prob set, solns] Oct 21/20 BCC Graph Theory Proofs [pdf, prob set, solns] Oct 28/20 Propositions and Control Flow [pdf, prob set, solns] Nov 11/20 Algorithms [pdf, prob set, solns] Nov 18/20 Intro to Vectors [pdf, prob set, solns] Nov 25/20 Interest [pdf, prob set, solns] |

Intermediate |
Oct 14/20 Perfect Squares [pdf, solns] Oct 21/20 Sunken Treasure [pdf, solns] Oct 28/20 Sheldon's Shells [pdf, solns] Nov 11/20 Triangles, Circles and Area [pdf, prob set, solns, prob set 2, solns 2] Nov 18/20 Counting [pdf, prob set, solns] Nov 25/20 Addition Magician [pdf, prob set, solns] |

Senior |
Oct 14/20 Polar Coordinates [pdf, solns] Oct 21/20 Crocodiles [pdf, solns] Oct 28/20 Polar Curves [pdf, solns] Nov 11/20 Mathematical Games [pdf, solns] Nov 18/20 Partitioning Puzzles [pdf, solns] Nov 25/20 Dwellings with Many Doors [pdf, solns] |

Winter 2021 | |

Junior Grade 6 |
Feb 17/21 The Golden Ratio [pdf, prob set, solns]
Feb 24/21 Set Theory [pdf, prob set, solns] Mar 3/21 Exponents [pdf, prob set, solns] Mar 24/21 Statistics [pdf, prob set, solns] Mar 31/21 Functions [pdf, prob set, solns] Apr 7/21 Graphing Functions [pdf, prob set, solns] |

Junior Grades 7 & 8 |
Feb 17/21 Random Sampling [pdf, prob set, solns] Feb 24/21 Confidence Intervals [pdf, prob set, solns] Mar 3/21 Significance Testing [pdf, prob set, solns] Mar 24/21 Squares & Radicals [pdf, prob set, solns] Mar 31/21 Triangles [pdf, prob set, solns] Apr 7/21 Turing Machines [pdf, prob set, solns] |

Intermediate |
Feb 17/21 Computer Programs [pdf, pdf_2, solns] Feb 24/21 State Machines [pdf, pdf_2, solns] Mar 3/21 Colouring Graphs [pdf, solns] Mar 24/21 Surprise Party [pdf, pdf_2, solns] Mar 31/21 More Counting [pdf, solns] April 7/21 Contest Prep [pdf, prob set, solns] |

Senior |
Feb 17/21 Symmetrical Equations [pdf, solns] Feb 24/21 Proof by Contradiction [pdf, solns] Mar 3/21 Trugs and Falths [pdf, solns] Mar 24/21 Greedy Algorithms [pdf, solns] Mar 31/21 Comparison Machine [pdf, solns] Apr 7/21 Silly Square Roots [pdf, solns] |

Junior Grade 6 | Junior Grades 7 & 8 | Intermediate | Senior |