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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.

Magazines

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.

Pebbles

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?

Tables Without Tens

Age 7 to 11 Challenge Level:

Try looking along rows, up and down columns and perhaps along diagonals for patterns in the digits.
When you're finding repeats, you might want to imagine extending the rows to $11$ lots of the number, $12$ lots, $13$ lots etc.
When you're trying to explain the patterns, don't forget how you've made each row in the first place!