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Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

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?

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?

Function Machines

Age 7 to 11
Challenge Level

You might like to start with $5$. Follow the operations in order - add $3$, multiply by $5$, take away $2$. What comes out?
How could you get from $2$ to $22$ ? Will those same operations turn $3$ into $28$?