Adding another data point here:
Originally took my TBAS and AFOQT many moons ago, and after the new formula revisions over the past few years, and with my current flight hours (~50) my PCSM was a 67; my pilot was a 72.
I recently retook my AFQOT, and while AFPC hasn't updated their site yet with my official scores, the TBAS site has (which seems pretty odd, but I'm sure there's a reason for it. Would LOVE to get those from the ASAP as I owe official updated AFOQT scores to a unit 😅):
When checking the TBAS site, it shows my AFOQT Pilot score is now a 96, and my PCSM is now an 83. So improving my AFOQT score by 24 points moved my PCSM up by 16 points; roughly a 2 point gain in PCSM for every 3 points gained in my AFOQT (or something like that; we'll see what my Quantitative score shows when I finally get the full official scores to explain any accuracy/inaccuracy here). If I get to 201+ hours, my PCSM will max out at a 97.
@Fat Tony increased his AFQOT by 70 points, and that moved his TBAS up by 38 points. At some point I may re-read through the rest of this thread and see if we can compile more data here, but with an admittedly very limited sample set, it seems like you every every 1 point gain in your AFOQT Pilot score moves your PCSM score up by .54 -.66 points. Again, take that with a grain of salt, but it's something!
With that said, and currently having no visibility into how I did for the rest of the scores, I focused exclusively on the Pilot sections: Math Knowledge, Table Reading, Instrument Comprehension, and Aviation Information. I used 4 (yep, four) different test books, and hammered each off them for the better part of 2 months. Almost every day, I was doing 1+ hours of study with a heavy emphasis on the Math Knowledge as that's always been my weakest point.
My advice:
1. If math was never your thing like me, use https://www.math-aids.com/ and YouTube. I probably did dozens and dozens of worksheets, and any concepts I struggled with, I watched YouTube videos to help me better grasp them.
2. IMHO, Table Reading & Instrument Comprehension are as close to gimmes as you're going to find. Table Reading is very straight forward, and so is Instrument Comprehension once you nail down the concept. I'd have to double-check to confirm, but I believe there's a total of 110 questions to answer between all off the sections that compose your Pilot score. 40 are Table Reading questions and 25 Instrument Comprehension questions. That's 65/110, or 59% of all questions. And, I believe I read that we're scored on the number correct, so nailing these two sections is absolutely critical. I printed my own 20x20 table from the AFPC/PCSM website's AFOQT Prep Guide and every day for two weeks leading up to the test I did 2-3 timed Table Reading Tests. That helped tremendously, and already having a pretty good grasp on the Instrument Comprehension, I still tried to do one of those at least every other day leading up to the test.
3. For the Pilot section, go flying. Invest in ground school and 6-10 hours of flying. It'll be worth it, I promise. Why 6-10? For some studs, 10 hours is enough to solo in working toward your PPL, but it'll also a) give you a boost on your PCSM as the 6-10 bracket is the second bracket that improves your scores b) give you a much better understanding of how airplanes operate in general and c) doing ground school will "make real" aviation concepts from the test. From there, study the AFOQT books (IMHO, Barron's was the best), and then knock that part of the test out.
4. If you think you did well on the TBAS--specifically getting all of the directional orientation questions correct--I'd advise against retaking it unless you feel really, really good about doing so, or at least retake the AFOQT first. I remember getting all of those correct, and while I thought of retaking the TBAS, I was like, "nah, let's just do the AFOQT because I think it's a bit too risky to retry the TBAS." While I'd like my PCSM to be in the 90's right now like some of the cats around here, IMHO, if you think you did well on the TBAS but still need to improve your PCSM score, start with the AFOQT.
Finally, to end this novel: I have 4 AFOQT prep books, a laminated 20x20 Table Reading grid for practice (printed from the AFPC AFOQT prep guide), and a few spare answer sheets I made copies of from the back of the Barron's book for taking (a bunch of) practice tests. If you want 'em, PM me, and they're your's, 100% my treat. Unless you happen to be in a unit I'm applying to, then all I ask for is to put in a good word for me 😉
Best of luck to everyone grinding. Take it from me, someone who is not the smartest or most talented, and who has struggled mightily at times with math: You can do well on this test if you just hammer any concept you struggle with from the prep books until it makes sense, even if it takes months (and some coin)!