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:
用“次”或“遍”填空。
(1) 杰希给马克打了两___电话,马克都没接。
(2) 今天的作业是:读五___课文,写十___生词。
(3) 今天马克一个人打了两___太极拳,下___他打算和阿里一起打。
(4) 我们一个学期考五___试,现在已经考了三___了。
(5) 上课的时候马克看了二十___表。
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).
From dict.cn:
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.)