### 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 14Challenge 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?