Hey CDT. D.Brumby,
Im an Airforce Cadet aswell, and I just went for my specialist testing last week. In the speciliast testing ou have got some instrument comprehension stuff, some stuff where you need to visualise an aircrafts orientation and then what it looks like after like a 45 degree turn and stuff like that.
There is some mental maths that you wont get a chance to even use your pencil and paper. Alot of .0045 x .78 kinda stuff. Pretty much a guessing game, alot of estimating in that section aswell.
Then there is the maths part where you WILL need to use pencil and paper. My best advice for that part is look at this link.
RNZAF - Step Up Aircrew and Officers
Learn how to do all of the Maths Reasoning type questions and you should be fine. Our test is pretty much exactly the same as the RNZAF one in that respect.
After that part, you play with the joysticks and do the tests that involve keeping like a cross on a bigger cross. They will change the controls on you and stuff like that. Its all hand eye cordination stuff, and theres not much you can do to prepare.
After that you will be told pass/fail, and then go home. Also, its normal not to finish the tests. I didnt, and I passed. Its also fairly normal to think you bombed out, because everyone thought that at my spec testing day, and we all passed.
I hope my information helped, because there isnt alot of info out there on the spec testing itself.