Haloform:
It forms a carboxylic acid from a methyl ketone. Add a base (OH-) with Br2 or Cl2. The base will pull off all of the protons on the methyl group of the ketone (they're alpha protons, so they're mildly acidic). After each one is pulled off, it's replaced with a halogen via the X2. In the last step, an OH- attacks the carbonyl carbon, and CX3- is kicked out (it's a stable anion since the halogens inductively draw away electron densities).
So, main reaction:
Methyl Ketone + Excess OH- + X2 -> Carboxylic Acid + etc.
Pinacol:
Forms a ketone (and possibly aldehydes?) from a vicinal diol. I don't remember the exact mechanism, and there are rules for favored rearrangements. But, I think the chances of this being on is pretty slim (I know it's in the AAMC guide, but still....), and if it is on I imagine it would either be in the context of a passage or you would have to know the very broad basics. Same probably goes for the haloform.
Good luck.