Regional Mathematical Olympiad 2013 was on December 1, 2013 in all the regions (except for Rajasthan). You will find below some of the question papers and some model solutions.
There were four different question papers used in different regions for the Central RMO. Below are these four papers and also the question paper for the Mumbai region.
Below are the solutions to the RMO papers. Of course, there are many other ways to solve these problems and any complete correct solution to a problem will be given full credit.