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Exploring Wild & Wonderful Number Patterns

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I'm Eight

Find a great variety of ways of asking questions which make 8.

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Dice and Spinner Numbers

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?

The Number Crunching Machine

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Put a number at the top of the machine and collect a number at the bottom.

What do you get?

Which numbers get back to themselves?

perform operations as follows: add 5, multiply by 3, if even subtract 2 or if odd subtract 1, multiply by 5, divide by 10, if odd add 3 and halve result or if even halve then if that result is even halve again or add 2 if result is odd


The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.