I reckon EA got a game called theme park, but I normally avoid FREE game from big companies like gameloft or EA, they are all gold suckers, no exception. If I see they sell something at 1.99 or 2.99 it might be a bargain, just a rule of thumb.
I played Theme Park earlier today, it's by EA. I was also looking for something along the lines of Rollercoaster Tycoon but Theme Park was a big disappointment. It interferes too much and doesn't really let you play. Would not recommend.