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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?

Pyramid Numbers

Age 7 to 11
Challenge Level

Here are the first three 'pyramid numbers':

$1$, $5$, $14$ ...

What are the next three numbers in the sequence?

Can you suggest why they are called pyramid numbers?

Can you find any similar sequences?