This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
Make a list of all the numbers that could satisfy each clue i.e.
a list of all the perfect squares, another of all the prime numbers
etc. It might be a good idea to list underneath the possible
squares that these numbers go in.
Write the numbers from $1$ to $25$ and cross them out as you fit
them in the magic square.
How could you work out the median?
How about looking for squares that are listed in more that one clue
to get you started?
Keep crossing off numbers and squares from your lists as soon as
you've placed them in the magic square - you'll soon notice that
some answers will just fall out!