Programming puzzles

[gd566]

I am looking for a site that offers beginner programmers problems to solve. Something like:
"Write a program that does this"

If you know of such a site post it here.
Thank you.

[Poke386]

http://www.cprogramming.com/challenge.html

[mattstreet]

Math + Programming:

http://projecteuler.net

ACM problems (there are many others you can find)
http://www.karrels.org/Ed/ACM/prob_index.html
http://www.inf.bme.hu/contests/tasks/

[simply thunder]

fun function learning:
http://armorgames.com/play/2205/light-bot