I am wondering if Ed is drawing a distinction between "what do mean ?" and "what is the name for/how do you translate ?". Though that could just be a case of more or less specificity in the chosen expression. Other notes above in response to Barry.
I had wondered if what I said might be interpreted as something like 'scholastic questions'. So I can imagine things likeSeumas Macdonald wrote: ↑November 13th, 2020, 6:30 am As for your main question, I would generally say that διδασκαλεῖον is preferable to σχολή, though the latter does sometimes have the sense of 'school'. And then, my sense is that Greek would generally prefer a periphrastic idiom like ἐρωτήματα ἐν διδασκαλείῳ or similar (plenty of variations would be find), rather than σχολικός. I would hear ἐρωτήματα σχολικά as something more akin to 'scholastic questions'.
ἐρωτηματα ἐν [τῷ] διδασκαλείῳ
ἐρωτήματα ἐν [τῇ] σχολῇ
or the verbal forms as Jason proposed
τὰ ἐν τῷ διδασκαλείῳ ἐρωτώμενα
would all be intelligible enough for the sense I want, though σχολή might cause confusion in some places, as the desired sense is not "things asked about at leisure".