Does anybody have a list of problems that they use to train new students. I have taught them some basics of graph, like DFS, BFS and Dijkstra. A bit of number theory and combinatrics. Even new adhoc problems will be good. The main problem of newcomers is that, they do not know how you can solve certain types of problems. When I started I always thought of wrong adhoc solutions to many problems, and didn't quite understand why they failed. I think many newcomers suffer from this.

Does anybody have a list of problems, that they have compiled to train new students? 

I have known a bunch of problem classifiers like

But these are for slightly more advanced programmers, does anybody have a list of problems specially for new comers to practice on? Maybe some IOI or ACM ICPC Coach can help with this?

It includes, official Google CodeJam Calendar.

Topcoder Calendar by darnley.

And some of my own added events ( i think the length is not always correct, but start time is )
http://pt1989.22web.net/cal/

You can add it to your Google Calendar, and activate email notifications and depending on your country even free SMS Notifications.

Good luck and happy practising.