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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.

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Stairs

This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

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Month Mania

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

Taking a Die for a Walk

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2

It would be useful to have a real dice and some squared paper to record on.
You could begin by always starting with $1$ on top and making a certain number of rolls, for example. How many different paths can you make?
What do they have in common? What is different about them?