You attempt each task in sequence. Instead of struggling to push your will onto the objects, you stay calm, and let the objects come to you. You achieve some success with this method, vibrating the marbles on the Newton's cradle, guessing a significant amount of the cards in the deck, and reading the woman's mind to see which block she's picturing.
She seems happy with your results, while you sit in stunned silence. Is knowing that these things were possible all that it took to unlock hidden power? You'd certainly never been able to do it before. Your internal marveling is interrupted by the woman in the bowler hat.
"You've done exceptionally well," she says. "My name is Jolene Hughes, and I'm in charge of the, oh, about ten percent of students that are in the advanced course. I'm thrilled that you'll be among them."
You're relieved, having feared remedial courses. After all, you'd never done anything paranormal until today.
"The standard track students will all be taking a tour soon, but due to... unusual circumstances, I, and all the advanced students, even new ones, are going to meet about a rather odd discovery that some of the staff have made. You're free to go grab a coffee in the lobby or something in the meantime, I'll call you telepathically when the meeting is to begin."
You nod your assent and go to do just that.
After drinking your coffee, which is surprisingly good, you feel a nudge in your mind. Without any words appearing in your head, you understand that the meeting is about to start, and somehow know both the location and how to get there, even having missed the tour.
Following a series of hallways and an odd half-flight of stairs, you arrive in a pristine meeting room. Some official-looking people sit in sleek black chairs around an ergonomic table, while what you assume are students crowd around the room's outer edges. You recognize the young man in a suit from the new batch of students you saw earlier today.
There are only a couple stragglers who enter the room after you, including Ms Hughes, who enters quickly. She is breathless and, conspicuously, hatless.
"I'm sorry for holding things up," she says. "Please, Raphael, start."
A tall, tan man who wears a T-shirt under his suit jacket stands up and begins talking.