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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?

Rabbits in the Pen

Age 7 to 11
Challenge Level

R in Pen
Here are $6$ different rabbits waiting to go to a home. They are in a pen in a pet shop. You'll see $2$ brown, $2$ black and $2$ grey. There is a floppy-eared one and an ordinary one of each colour.

Let's imagine that rabbits can only be one of these $6$ different kinds and there are no other kinds of rabbits. Then:

How many, and of what kind, will there be in a pen if all these statements are true?
  • There are more brown than any other colour
  • There are equal numbers of floppy browns and ordinary browns
  • There are three which have floppy ears
  • There are twice as many floppy browns as floppy whites
  • There are three times as many blacks as whites

How many, and of what kind, will there be in the second shop if all these statements are true?

  • There are the same number of blacks as browns
  • There are twice as many floppy browns as ordinary browns
  • There are the same number of floppy browns as floppy greys
  • All but one are floppy