Well, maybe you want to take it up with this top college how they can award a pass without any assignments or exams being done. I know I’d have something to say about that to the school.
For the rest of it I’m in agreement with the general mood here. Seems to me the child is lying out of some combination of fear of you and fear of disappointing you - and you clearly let her know when that happens. Why don’t you try a different tack, of showing her praise when she does well and offering her encouragement or counseling when she isn’t? That way she won’t feel the need to lie to you, and you might find it far more constructive than anger.
By the way, how were her results for the other 3 quarters?