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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?

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Square Pegs

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

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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°.