Pre-Algebra: Create your own number puzzle.
Advanced Geometry:
1) A 5x5 square and a 3x3 square can be cut into pieces that will fit together to form a third square.
a) Find the length of a side of the third square.
b) In the diagram above, mark point P on segment DC so that PD = 3, then draw segment PA and PF. Calculate the lengths of these segments.
c) Segments PA and PF divide the squares into pieces. Arrange the pieces to form the third square.