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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?

Oranges and Lemons

Age 7 to 11
Challenge Level

What is the largest number of oranges you can have and their total weight be less than (or equal to) one kilogram?
If you have one orange how may lemons would there be?
How much would the orange weigh and what is the most the two lemons can weigh?