You want "studying" for material on which the student is to be tested. "Reading" has two problems. First, in Britain, one reads for or reads a subject to get a degree in that subject.
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sunny1232. Javad is studying his lessons.This is weird and its meaning is unclear.
deadratWhat fault do you find with it?Lessons are something that people do so, how or why would they be studied? Does this mean analysing how a lesson was conducted, perhaps for the purpose of finding out how well a teacher taught? It's not clear.