Here is a hexagon using 6 matchsticks. Move 4 matchsticks to create 2 triangles.

Add 2 matchsticks to form 10 triangles. The matchsticks may overlap and do not have to be flat on the surface.

In the figure above 8 matchsticks were placed on a grid to form 6 inner triangles.

What is the maximum number of inner triangles you can create by rearranging the 8 matchsticks?

There are 3 rectangles of size 2X1 in the layout above. They are ABDC, EGLJ and FHMK.

Move 3 matchsticks to create FOUR equal rectangles each of size 2X1.