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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?

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?

Lying and Cheating

Follow the instructions and you can take a rectangle, cut it into 4 pieces, discard two small triangles, put together the remaining two pieces and end up with a rectangle the same size. Try it!

Square Areas

Age 11 to 14 Challenge Level:
The black lines each go from a vertex to the midpoint of an opposite side.