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.

I'm Eight

Find a great variety of ways of asking questions which make 8.

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?

Special 24

Stage: 2 Challenge Level:

The number $24$ is special because it is just one short of being a square number.

So $24 + 1 = 25$ and $5^2 = 25$

AND when you double $24$ the answer is also one short of being a square
number.

So $24 \times 2 = 48$ and $48 + 1 = 49$ and $7^2 = 49$.

Find another number that is special in the same way as $24$.