The following are some homework exercises that I have given to the students who participate in an after-school MATHCOUNTS program at Walter Reed Middle School in North Hollywood, LA. The relevant material is currently being converted into a textbook, loosely titled “Topology for Tots & Number Theory for Newbies,” for beginning high school/advanced middle school students.

- Tessellations
- Platonic Solids
- Diophantine Equations
- Modular Arithmetic
- The Möbius Band
- Magic Squares
- Some Combinatorics
- Graph Circuits
- Graph Colorability
- Sharp and Flat Numbers (VERY COOL)

Feel free to use these exercises for your own teaching/outreach purposes. Note that some of the diagrams are borrowed or adapted from sources coming from my personal mathematics library.