You had to be certain levels like 10, 20, 30, or 40 to get perks and invites to give to other people that gave you bonus point multipliers. I don't even think you could access the forums or do challenges till you'd reached level 10 from answering trivia questions. Challenges were usually around 1000 points and sometimes a 1up depending on how difficult they were, and the daily trivia questions gave 100 points usually. You needed like 12K points to reach level 20, 29K to reach level 30, or 58K for level 40.
I'm not really too sure how the points and levels will translate over from tsilon, since all the challenges I've done so far have only given 100 or 150 points for getting an A, which seems like so few points for so much work: it would be impossible to ever level up really high if the point requirements are the same as tsilon. But there may not be any practical reason to level up on arcademy, so it may not matter that much.