June problems solutions

Due to popular demand, we have stepped up our game and written out the solutions for the 2014 NZMOSA June problems. We didn't really get enough entries for that, so we'll only give a few special mentions, but please keep submitting stuff for our August (psst and July) problems and we'll be giving out prizes for those!

It can't hurt much to write down some thoughts (preferably nicely written) and send it in!

The June problems solutions are here. Leave a comment if you have more solutions to suggest!!