If you do it right you can get 5 trophies right in the first 2 mins of the first puzzle.
Pick whatever puzzle you want
hints off (If you hit the see background button it does not count as a hint!)
Make sure to finish in 2 mins!
So far the best strategy seems to be keep using the same puzzle get used to which colors are in what 1/2 or 1/4 of the puzzle and to make things go a little faster instead of going all the way to the right to get to other side of the puzzle use left and it'll change to the other side same with up and down. Once you get used to doing that it's much easier to get to the other side of the puzzle esp if your doing the 112 and 252 count puzzles!