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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?

Christmas Chocolates

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2
Which $10$ chocolates do you think Penny will eat next?
Which $20$ chocolates do you think Tom will eat next?