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Have You Got It?

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

Counting Factors

Is there an efficient way to work out how many factors a large number has?

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?

Squares, Squares and More Squares

Age 11 to 14 Challenge Level:

Pattern of squares in squares

The diagram shows a square dissected into seven smaller squares.

Can a square be dissected into any number of squares?

Can you dissect a square into: two, three, four, five ... $n$ other squares?

Can you justify your findings?