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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
On Christmas Eve the children of one family left a note for Santa saying that all the girls would like a puzzle each and all the boys would like a book each. They left Santa this riddle to solve:
The girls have twice as many sisters as brothers and the boys have five times as many sisters as brothers.

How many puzzles and how many books did Santa leave for the children?