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Math Fair Grade Level: Secondary

Babushka Squares

In this investigation, we work with pentominoes, five squares, and triominoes, 3 squares, where we study the unique shapes from constructing them in all different…

Training Trains

When in grade 1, locomotives learn by going round and round in circles on specially created tracks like the one on the right. The circular…

Un-Babushka Squares

When, Polyo, wants to rebel from her claustrophobic family, she seeks out solitude to work on very Un-Babushka-like puzzles. That means she wants puzzles where…

Yasmin the Yeti

Yasmin, a baby Yeti living with her family in the Himalayas, decided that she was going to make trees out of paper. She folded a…

XYZ Tree

Find 3 positive integers x, y and z which satisfy this equation: Using this solution, find a different solution by changing one and only one…

Wolf Nim

This is a game for two wolves. Wolves take turns eating any number of pigs in the same row. The wolf that eats the last…

Wild Tic-Tac-Toe

This game is the same as ordinary tic-tac-toe, except that on each turn a player can choose to play an X or an O. You…

Walls of Rock

Beaumaris castle in Wales was the largest of the Welsh castles built by King Edward I (r. 1272-1307) Construction began in 1295, but was never…

Vermeer’s Paintbrush

When painting this painting of a music lesson, Vermeer, the great Dutch artist, dropped his paintbrush on the tiled floor. He noticed that two ends…