So, I'm not sure if this has been mentioned/ answered before, but after re-reading a few chapters again from the manga, I noticed that in chapter 112, on page 2, you see 6 students, 3 being Todoroki, Inasa & Juzo (who we know were all recomended) being told about a practical exam, that would be judged in groups of 6, that would take place.
So I'm wondering (again, this might have been answered before, and it's just me being stupid) did the recomended students have to take an entrance exam anyway? Or was this maybe a different kind of exam?