We’re used to the regular patterns multiples display on a conventional Hundred Square. Multiples of 2, for example, fill the even-numbered columns, and you can probably visualise without much difficulty the different, but equally regular pattern they display on a Snakes and Ladders Square.

As a mental exercise, try a couple more. Start with multiples of 10, and that should give you a start to see if you can predict what happens with multiples of 5.

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You’ll find other patterns below. Multiples of 4 form a fairly nice pattern – but others are at first glance completely wild. And when you’ve exhausted these, I’ve included one more starter – if we arrange the counting numbers in a grid of a different number of columns, what patterns do we get then? As an example, I’ve shown multiples of 5 on an 8-column grid.

Enjoy!

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I especially like the patterns for 3, 4, 5, and 6 on these Snakes and Ladders boards.