Math Fair Category: Patterns

Colour Squares

Fill the square on the left with red, yellow, green, and blue chips so that no row, no column and neither of the two long…

Colour Iraq

One of the greatest unsolved problems in mathematics was whether any map needed more than 4 colours assuming that no regions which shared an edge…

Circle Town

There are only two laws in Circle Town. Nobody can walk outside. This means that children must learn to drive from a very young age.No…

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…

Urns of King Midas

King Midas made 4 Urns to carry his gold bars. For good luck he wrote a 4 digit number – one digit on each urn.…

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…

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…