When Pythagorean's theorem is considered super high-grade math...
Also, mathematically, he has a 25% chance of getting the answers right by randomly guessing. I'm assuming his luck boost raises that by at least 100% considering it's some sage level magic. Factor in "plot armor" modifiers, adjust for the bullshittiness of this manga, tweak settings for optimal effect, and he has a 59937476596% chance of getting every single one right, somehow making the big tiddy instructor fall in love with him by doing nothing, and making at least one jaw drop in that tribunal thing he got summoned to.
Lemme, triple check my math on this dirty napkin... Yup. Checks out.