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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.


Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.


Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Hundred Square

Age 5 to 11
Challenge Level

Can you imagine the square on the back? Where will its $1$ be? Where will its $10$ be?
So what will be on the back of the $20$ in the $100$ square in the picture? The $30$? Does this help with the $100$?
You could print off the $100$ square, or draw your own, and write just, for example, $1-10$ on the back of it to get you started. Can you see where $11-20$ would be? Perhaps this helps to predict the other numbers.