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Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.


Place this "worm" on the 100 square and find the total of the four squares it covers. Keeping its head in the same place, what other totals can you make?

All Seated

Age 7 to 11 Challenge Level:

Found in the playground of a Danish school - something to sit on!

A 4x4 number square - starting top left 4 15 14 1 9 6 7 12 5 10 11 8 16 3 2 13 Look carefully at the numbers.

What do you notice?

Can you make another square using the numbers $1$ to $16$, that displays the same properties?

Find out what Albrecht Dürer has to do with this arrangement of numbers.

There are twelve different types of $4$ by $4$ magic square that use the numbers $1$ to $16$. See if you can find information about these twelve types and show examples of each one.

Look carefully in each case at the patterns produced when a total of $17$ is searched for.

Can you finish off the $5$ by $5$ magic square below?