Here’s an easy enough challenge problem for students from Math Counts that I found on Twitter via Mathmovesu (@mathmovesu).

.@MATHCOUNTS Math Challenge Problem #mathchat http://t.co/iR6C4mbHZz—

MathMovesU (@mathmovesu) December 13, 2014

Seeing that problem, I wondered

On a 12-hour digital clock, at how many times during a 24-hour day will all of the digits showing the time be a palindrome?

Are all solutions to the original question automatically solutions to the palindrome variation?

What other questions could we ask here? I’m particularly interested in questions students might develop. After all, teachers shouldn’t be the only ones thinking, creating, and extending.

Anyone?