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For this challenge, you'll need to play 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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Reverse to Order

Take any two digit number, for example 58. What do you have to do to reverse the order of the digits? Can you find a rule for reversing the order of digits for any two digit number?

Tilted Squares

Stage: 3 Challenge Level: Challenge Level:1

We received three excellent solutions from Jonathan, Bryn and Marissa of Madras College. Marissa's solution follows:

The results above suggested a relationship between the area of tilted squares and the distance travelled along and up to get from one vertex to an adjacent vertex.
Alex from Llandovery College was able to prove the relationship and sent us this proof that the formula will always work.