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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?

Clever Santa

Age 7 to 11
Challenge Level

Why do this problem?

This problem gives children a chance to apply knowledge of number operations and gain confidence in using a trial and improvement approach.

Key questions

What could you try first?
How will you record what you do?
Does that fit all the information?

Possible extension

Children could make up their own version of this problem for a friend to solve.

Possible support

Using differently coloured counters to represent boys and girls might help some children access this problem - it will allow them to refine their answer try without being afraid of writing down something that turns out to be wrong.