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You will need a piece of squared paper for this activity. If you don't have any, you can get a sheet here.
Write the ones digits of the numbers in the two times table from $1 \times 2$ up to $10 \times 2$ in a line. Leave some room at the top of the paper, and some space to the left and right, a bit like this:
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?