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Math Fair Grade Level: Elementary

Unique Buildings

You are the mayor of a small town and are given the mandate to build 10 floors of residential housing. For example, you could build…

Twinkle Twinkle

Carl Sagan and Joseph Campbell were walking on the Milky Way last evening. Carl turned to Joseph and said “What a lot of stars!” “But…

Tri-Mirror

Just like in the problem Mirror, Mirror in the Box, a triangular box plays tricks with light. Mirrors reflect light beams that hit them obliquely…

Tree Planting Game

What is Needed: A piece of dotted paper, pen, and 3 tree planters for each team. How to Play: Decide who goes first.The players take…

Touching Circles

Fill the following triangle with red, yellow and blue circles so that no circles of the same color are next to each other. Extensions: Is…

Tiling on Titan

The Wise Women of Titan want to re-tile the enormous rooms of their palace using rectangles, but for aesthetic reasons they do not want identically…

The Greener Lily Pad

Frogs have a saying: “The Other Lily Pad Is Always Greener”. Some green and yellow frogs were arguing about this until they agreed that they…

Tetrahedrons Snuggling

On a cold winter evening, Olive, the green tetrahedron said to her identical quadruplet sisters “It’s so cold that my vertices are numb, my edges…

Termite Terrorists

A colony of termites has attacked a house by carving out passageways trough the floorboards. The damage done is proportional to the number of triangles…

Sword of Knowledge

The Dragon of Ignorance has three heads and three tails. You can slay it with the Sword of Knowledge, by chopping off all its heads…