Morty knows he shouldn't be screwing around with multidimensional shit. It's dangerous, it's impractical, it's blah blah blah. But it's a potential key to unlimited energy, how does nobody see that? He's built a dimensional siphon (it kind of looks like a cardboard box with a funnel and a TI-84 taped to it, but it damn well works), keyed in the dimensional coordinates to a random plane, and by God he's going to use it.
He flips the switch and waits for the energy bar to fill up.
It does! It fills up very rapidly. Then it explodes, along with the box. There's rather more smoke than there should be, and once the smoke clears someone is standing there.
"Whoops?" Morty says faintly.
The test is fairly long. There are sections on memorization (increasing strings of numbers, skimming and immediately reciting paragraphs or pages of text), spatial reasoning in up to eight dimensions, and an absolutely brutal strategy game like a cross between Go, 3D chess, and the Game of Mao. There are also, as Dr. Duncan mentioned, straight math and grammar and science sections. She probably doesn't know enough science to recognize how bizarre the science section gets toward the end.
She answers the science questions like this universe is a cross between Golden Ballistic Angel and Super Aluminum Moonbase Alliance modulo things she has noticed blatantly contradicting those media.
She skims it. Snorts occasionally. "Okay, next test. I am wearing magical boots of dexterity because if I don't I fall down when walking sedately on level surfaces, I don't know if you need me to take them off but I don't have other shoes."
"You can keep them on, we'll just record that you're using an assistive device."
There are tests of speed, deadlift capability, endurance, et cetera. Breaks are at regular intervals, including drinks and snacks.
One of the later tests appears to be another test of speed. She is placed on a treadmill and set to go at a certain rate.
Abruptly, out of the console pops a boxing glove on a spring, moving faster than aerodynamics should allow it to.
"Augh!" She has no particular reflexes suited for this and the boots don't help that much, down she goes.
"Less than two pounds. Less than one if you need it flying through the air, I can drag slightly heavier things along a surface. I have decent fine manipulation if I'm concentrating hard enough though."
"Ah, alright, that's TK-1a. We'll just verify that and move on, then."
He verifies this with a small array of weights between 0.5 and five pounds, then moves on to categorizing her magic. "This obviously isn't going to translate into a conventional WIZ rating, since you're not using our kind of magic, so I'll just be asking you a few questions about your level of ability with your own system. Do you have any special advantages or intuition for your magic?"