Problem 1

By cutting this hexagon along the lines, it can be cut into six pieces that are all the same shape.

What different ways can you find of doing this?

Problem 2

By cutting this hexagon along the lines, it can be cut into nine pieces such that each piece is the same size.

What different shapes can the pieces be?

When the pieces are used to cover the same hexagon, you will find that you can use eight different-shaped pieces with one piece being repeated to make nine pieces in all.

What shapes can be used for the repeat piece? Show one way of completing the hexagon for each different repeat piece that you can find.