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Have You Got It?

Can you explain the strategy for winning this game with any target?

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Is There a Theorem?

Draw a square. A second square of the same size slides around the first always maintaining contact and keeping the same orientation. How far does the dot travel?

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Card Trick 2

Can you explain how this card trick works?

Squares, Squares and More Squares

Age 11 to 14 Challenge Level:

Can you dissect a square into:

$4, 7, 10, 13\ldots$ other squares?
$6, 9, 12, 15 \ldots$other squares?
$8, 11, 14 \ldots$other squares?