Hi everyone! I just took the ASTB-E on Thursday Aug. 17th and wanted to share my experience. I studied for maybe a solid four days ahead of time. My scores were 57 7/8/7. I was pleased with how they came out, I just wish I could have gotten a higher PFAR. But, I wanted to thank all of you! I spent quite a bit of time on here reading gouge, it was a big help! Here's some notes I have from it:
Math
Get your hands on as much material as possible. I went through the Barron's book, Jacob1792's math gouge (on page 260), and the AFOQT math section. I spent hours learning how to do every possible problem. The biggest things on mine were probability (the one thing I forgot to study), distance and mileage, and proportions. Don't spend too much time on one problem but don't get flustered. Biggest advice I have is do multiple practice exams where you're timed. It'll help you get used to the time constraint. Also, don't be worried if you finish before the whole 40 minutes is up. I ended with 15 minutes left and thought I did absolutely horrible! If you know the theoretical way to solve the math problems, you should be fine.
Reading
I don't have much input here besides practice with the time constraint. I don't think the Barron's book helped me much here, sadly that was all I used too. The sections I was reading on the test were worded much harder and trickier than in the book, so I'd say try and use some of the gouge from here.
Mechanical
Since I have an BS in aeronautical engineering, I didn't study much for this section. I don't think the Barron's book did much help anyways, it was more geared towards the general science on the AFOQT. The major questions have to do with fulcrum position, density, levers, torque, and mechanical advantage with pulleys. The gouge on this thread looked pretty good for this section.
Aviation/Nautical
For the aviation knowledge, try to know the simple mechanics around how a plane flies. What does the elevator control? Or the ailerons, or the rudder. Definitely know the axes in the plane and which one each control surface rotates about. Study Bernoulli's principal and how airplanes generate lift. Lastly, know the parts of the airplane. For the nautical section, I would know the parts of a ship (draft, freeboard, etc.).
PBM
Study those flashcards on this thread! I studied only them for this test. I also used a trick, I know there's one going around now where they memorize the eight different positions and write them down. I just made a compass with all of the directions and turned the compass in the direction the aircraft was flying and voila! got my answer. Ex: If an aircraft was flying SW, I put the SW line on my compass up, or north, and it worked.
For the listening portion, I wrote down which button I was supposed to hit for what and wrote down what ear I was listening in. That became especially important later on because while you're moving around it gets easy to forget what ear you're supposed to be listening in.
For the rest, I would also spend some time playing a simulator if you can. It gets tricky near the end and my joystick didn't move so fluidly either. I didn't have any experience flying or using a simulator that much. The one I did use, for a total of an hour, moved a lot easier than the one I used on the exam. Definitely write down the emergency procedures in the last section, it helps. Other than that, just go in being a strong multitask-er.
General advice would be to eat before but not too much and get in the zone. It was hard for me at mine because my recruiter was busy and there was a lot of noise. Just try to focus on the exam and block it out. If you can, take the BI-RV first. Then you get your full scores right then and there. Otherwise you'll just get your OAR.
Good Luck!