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One way to start would be to print off the grid and use tracing paper to make another version of it. Have a think about the different ways that you could place it on top - how many ways of doing this are there? Choose one way and then (without doing all of the calculations) consider which products are going to be the largest. Is there a different way you could turn it to make more or fewer large products?
If you are stuck, you can start with a small grid (perhaps two by two or three by three). Choose a way of putting the second grid on top, and then calculate and add together all of the multiplications. What do you notice?
EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
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?
If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?