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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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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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Sending Cards

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

Taking a Die for a Walk

Stage: 1 and 2 Challenge Level: Challenge Level:2 Challenge Level:2
There are lots of answers to this problem, depending on what questions you choose to ask. Have a go yourself, and if you discover anything interesting, email
 to tell us what you've done! Please don't worry that your solution is not "complete" - we'd like to hear about anything you have tried.

Teachers - you might like to send in a summary of your children's work.