I've read many sound strategies from folks who've passed. They all sound like good ways to go about it. I would recommend working a sample test (or at least part of one) with a running stop watch to figure out which may work best for you personally within the constraints of time.
I took the Electrical/Power exam this April and passed it as well, though like many I wasn't at all sure until I actually recieved notification via my state board's website.
Anyway, my personal strategy was a little different than what others have posted here but I can't say it was any better or worse, only that it apparently worked for me.
Being my first attempt and with no idea what actual test conditions would be like, I was very concerned about leaving any unanswerred questions and then running out of time at the end to go back. Therefore, I worked each question in order from start to finish.
I had a running stop watch on my wrist to prevent me from spending an inordinant amount of time on any one question. If I could work it, I worked it, filled in the bubble and moved on. If I had some idea but wasn't sure then I did my best to eliminate answer choices, made an educated guess, filled in the bubble but also marked the question in my test booklet so I could come back later if I had time, then I moved on. If I had absolutely no clue (there were a few in the afternoon but none in the morning) then I took a wild guess, filled in the bubble but didn't bother to mark the question in the booklet or come back later because my first guess is usually my best guess, then I moved on.
I completed the morning session with lots of time remaining so I revisted all of the ones I'd marked. I think I maybe I changed 2 answers based on some digging in my references or noticing something I'd missed in the problem on first pass. Once I'd revisted those then I spent the rest of the morning checking back over my work on all the ones I actually knew how to solve. I was glad I'd done so because I found 2 or 3 dumb mistakes and corrected them. I didn't bother to revisit any of the blind guesses as mentioned above.
After completing the afternoon session I didn't have nearly as much time remaining. I went back over the marked questions and I think I again changed 2 answers based on some deeper thought and digging in my reference material. However, I had no time to check my work on any of the others. Perhaps checking my work would have been more fruitful but who knows?
Anyway, once you decide on a strategy don't second guess yourself. Feel confident that it's the right one for you and roll with it. Keep track of time and control your nerves. You can do it.
Good luck!