Puzzles to Puzzle You! 1. Sliding Block The diagram shows a cross-shaped box containing three numbered blocks. The puzzle is to slide the blocks around the box until the numbers read 1, 2, 3 as you go down. How do you do it? And how many moves does it take? (A single move is one block wide, so if you move two block widths, that's called two moves). Ans: Eight moves. See figure. From mathsisfun.com 2. Mirror, mirror Lines of symmetry are such that any image looks the same when flipped along those lines. For instance, a circle has every diameter as its line of symmetry while a rectangle is symmetric along the two perpendicular lines bisecting its parallel sides (each half looks identical to the other). A square in addition is symmetric about its diagonals. If you continue shading the squares so that the two dotted lines become lines of symmetry (mirror lines) of the completed diagram, how many squares will be left unshaded? Ans: Nine. See figure. Note that the result must have symmetry under flipping with respect to both diagonals. From mathsisfun.com