Hamilton's Great Adventure might be an okay casual game to waste some time with, but I don't recommend it.
The game isn't very challenging. Trying to figure out the proper paths to finish the levels was somewhat enjoyable, but in the end it came down to trial and error and memorizing the correct steps. All of the switches that need to be manipulated have markers with symbols/colors that correspond to their counterpart objects, which made their operation trivial. There are items to be acquired and used, but I had only received one towards the end of when I quit playing and I didn't get chance to use it, so I can't comment on that mechanic.
The first "problem" I encountered with the game is the fact that the keyboard and gamepad can't be used at the same time. This isn't really a problem, but when the game loads, there's no way to skip the intro screens with the gamepad. If any key is pressed on the keyboard, the game disables the gamepad and then it has to be reenabled in the menu.
Another annoyance was the game crashing to desktop when killed by an enemy. I could not reproduce the error by reloading the game and dying to that same enemy, but as soon as I would die to an enemy on a new level the error would reoccur. And, of course, every time I would reload the game after a crash I would either have to sit through the intros or reenable the gamepad through the menu, adding to my frustration. Fortunately dying to enemies wasn't a common occurrance.
Even if the bugs were fixed, the game just feels too easy and I can't help but feel like I'm wasting time when I could be playing something else. I don't recommend purchasing this game, not even if it were on sale.