The following list of math problems have been collected by NAMC directors, Math Circle leaders, and presenters at past workshops which may be of use to Math Circle leaders. Like many math puzzles, the original source is sometimes unknown. We believe these resources are available for free use and we have done our best to list the origins of each. However, if you can add information, please contact us at info@mathcircles.org

**Bard Math Circle Problems**

Created by the **Bard Math Circle**

**Bard Math Circle problems (September 2012)****Bard Math Circle problems (October 2012)****Bard Math Circle problems (November 2012)****Bard Math Circle problems (December 2012)****Bard Math Circle problems (February 2013)****Bard Math Circle problems (March 2013)****Bard Math Circle problems (April 2013)****Bard Math Circle problems (May 2013)****Bard Math Circle problems (June 2013)**_{6}C_{3}Problems – Bard Math Circle JMM Poster Session

**GCD, LCM, Division Algorithm & The Euclidean Algorithm**

Created by Gowri Meda & Michael Klucznik for the OMSI Math Circle for Sixth through Ninth Graders (October 2011)

**ABBA Language / Magic Braid Problems**

*Source unknown*

**How to Gamble If You Must **(Probability)

Created by Paul Zeitz for The Teachers’ Circle (March 2012)

**Angles: How High Does It Fly?**

*Source unknown*

**Any Conic Section So Long as It is a Parabola **

*Created by Tatiana Shubin for the Houston Circle on the Road 2011*

**Art Math Questions for the Kansas State Math Circle 2011-2012**

*Source unknown*

**Balloon Numbers**

*Created for Julia Robinson Math Festival, based on “Computation Balloon Twisting: The Theory of Balloon Polyhedra” by Erik D. Demaine, Martin L. Demaine, and Vi Hart*

**Binpacking**

*Created by Tom Davis (2006) *

**Blue Eyed Islanders Problem**

*Created by Blake Thornton (2012)*

**Boomerang Fractions**

*Used at the BIRS Conference on Integer Sequences February 27 – March 1, 2015, it was explored by Gordon Hamilton, Joshua Zucker, and Richard Guy. *

**Circle of Differences**

*Directed by Joshua Zucker at the Julia Robinson Math Festival *

**Circle of Differences 2**

*Directed by Joshua Zucker at the Julia Robinson Math Festival *

**Combinatorial Problems**

*Created by Tom Davis (2000)*

**Classical Geometric Construct**

*Created by Tom Davis (2002)*

**Counting Things**

*Created by Tom Davis (2006)*

**Coupon Collector Problem**

*Source Unknown*

**Coupon Collector Problem 2**

*Source Unknown *

**Crack the Graham**

*Source Unknown*

**Cryptography Mentor’s Guide**

*Source Unknown*

**Cryptography**

*Created by Tom Davis (2000)*

**Cryptography Take 1**

*Created by Blake Thornton and Louis Beaugris *

**Difference Engine**

*Directed by Joshua Zucker at the Julia Robinson Math Festival *

**Division Algorithm and Remainder Arithmetic**

*Math Circle – November 2 and 9*

**Dominoes, Problem Solving, and Graph Theory**

*Fairfield County Math Teachers’ Circle – Lauren Rose, Bard College (2013)*

**DOTS and DASHES**

*Created by James Tanton (2010 MSRI) *

**Easy Nim Exercise**

*Source Unknown*

**Elementary Planar Geometry**

*Source Unknown*

**Equations and Unknowns**

*Source Unknown*

**Euclidean Algorithm and Linear Diophantine Equations**

*Newark Area Math Circle, April 13, 2013, Grades 5-8*

**Look at the Extremes**

*Created by Razvan Gelca, Texas Tech University *

**Fermi Estimates Activity Directions**

*Source Unknown *

**Fermi Estimates Lesson Plans **

*Source Unknown *

**Fibonacci Numbers**

*Created by David Patrick (2012) *

**FOLDING and POURING**

*Created by James Tanton (July 2010 MSRI)*

**Four Points on a Circle**

*Created by Tom Davis (2002) *

**Fractions Lesson Plan**

*Santa Ana Math Club (2010)*

**Fractions Revisted **

*Created by Joshua Zucker (2010)*

**Favorite Problems from the UWM Math Circle**

*Created by Gabriella Pinter *

**Friezi Patterns for Circle on the Road **

*Created by David W. Brown, San Diego Math Circle (2011) *

**Frieze Patterns (1)****Frieze Patterns (2)****Frieze Patterns (3-1)****Frieze Patterns (3-2)****Frieze Patterns (3-3)****Frieze Patterns (3-4)**

**GEM Seminar. Polynomials and Pyramids**

*Sergei Tabachnikov (2011)*

**Geodesic Dome**

*Created by Tom Davis (2010) *

**Geometry and Geography**

*Created by Tom Davis (2009)*

**Getting started, KenKen Strategies**

*Source Unknown*

**Zome Patterns**

*Created by Tom Davis *

**Graph Theory Problems and Solutions**

*Created by Tom Davis (2005)*

**Out of the Shadows**

*Created by Dave Auckly*

**Induction Problems**

*Created by Tom Davis (2005)*

**Mathematical Induction**

*Created by Tom Davis (2000) *

**Instant Insanity (Tantalizer)**

*Unknown Source *

**Intersection Math**

*Created by James Tanton*

**JRMF_B3_Anna_Burago_ WordArithmLesson**

**JRMF_B3_Anna_Burago_ WordArithmLesson_Problems**

**JRMF_B6_Cryptography-Thornton-Beaugris**

**Lesson Plan The Fourth Dimension **

**Math_circle_power_of_point_plan**

**Mid-Hudson MathTeachersCircle WeirdDiceLesson**

**MW 2012 Practice 2 Slns_opt-small_Part2 **

**MW Golden Section 2012 – Solns**

**NAMC2012-AngleDefect CurvatureAnd TheGaussBonnet FormulaWithAnswers**

**NATM – Chomp the Graph Description**

**NATM – Chomp the Graph Description_0**

**Pile_Spliiting_ Script_TANTON_0**

**Probability-monty hall worksheet**

**Pythagorean Fractal Auctions Houston handout**

**SJSU Math Circle Content **

*Created by Tom Davis *

**STERN BROCOT TREE_July 2010_MSRI**

**Taking Graphs Deeper**

*Source Unknown*

**THEONS LADDER and SQUANGULAR NUMBERS_July 2010_MSRI**

**TILINGS at Berkeley Math Circle**

**TopologyOfSurfaces And3dSpaces_NAMC**