A square piece of paper is cut into 6 pieces, each of which is a convex polygon. 5 of the pieces are lost, leaving only one piece in the form of a regular octagon $($see the drawing$)$. Is it possible to reconstruct the original square using just this information?
Is it possible to bake a cake that can be divided by one straight cut into 4 pieces?
One corner square was cut from a chessboard. What is the smallest number of equal triangles that can be cut into this shape?
Kai has a piece of ice in the shape of a “corner” $($see the figure$)$. The Snow Queen demanded that Kai cut it into four equal parts. How can he do this?
Cut a square into three pieces, from which you can construct a triangle with three acute angles and three different sides.
Two boys had two square cakes. Each made two straight cuts on his cake from edge to edge. In this case, one ended up with three pieces, and the other with four. How could this be?