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### Number and algebra

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### Working mathematically

### For younger learners

### Advanced mathematics

# A Square Deal

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### Geoboards

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 7 to 11

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

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!

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.