### Penta Place

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

### Tessellating Triangles

Can you make these equilateral triangles fit together to cover the paper without any gaps between them? Can you tessellate isosceles triangles?

### Two by One

An activity making various patterns with 2 x 1 rectangular tiles.

# Tetrafit

##### Age 7 to 11 Challenge Level:

A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with $15$ copies of itself, be used to cover an eight by eight chessboard?

What about the other four tetrominoes?

If the set of tetrominoes can fill the board sketch a solution showing how this can be done and if it is impossible to cover the board then explain why.