The question comes from a problem from my Chinese book which asks to choose 次 and 遍 to fill in the blanks (photo of the original). I transcribe it below:
I feel like that most (all?) of them could be either 次 or 遍 without it being a problem. The only exception is in (3), where I would more naturally say 下次 (but Baidu suggests 下遍 is also okay).
So they really feel like synonyms.
Question: How do I determine whether to use 次 (cì) or 遍 (biàn) in these sentences?
(Note that this is not for assessment; I'm not officially enrolled in a Chinese class, but attend class regardless.)