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Square Areas

Can you work out the area of the inner square and give an explanation of how you did it?

Square Pegs

Which is a better fit, a square peg in a round hole or a round peg in a square hole?

Not So Little X

Two circles are enclosed by a rectangle 12 units by x units. The distance between the centres of the two circles is x/3 units. How big is x?

Bow Tie

Age 11 to 14
Challenge Level
You may find it helpful to cut out some accurately drawn tiles and experiment fitting them together or to cut out one tile to use as a template and to draw the tiling by drawing the outline of your template over and over again.

It may help to use the relationships: 2A+D=360° and 2C+D=360°.