Calendar Capers

Choose any three by three square of dates on a calendar page...

Card Trick 2

Can you explain how this card trick works?

Happy Numbers

Take any whole number between 1 and 999, add the squares of the digits to get a new number. Make some conjectures about what happens in general.

$32 \times 46 = 1472$
$23 \times 64 = 1472$