'A FAIRLY BRIGHT STUDENT' is this expression correct?

Hi there.English is not my 1st language-I don't speak in English daily.So,sometimes I might pick up the wrong expression when I'm writing.Sometimes the words come from movies and television.I am having trouble to set the degree of formality that I need to use in my essays.I am applying for Penn State University and try to describe myself as student.Hope you guys can help and it's very very much appreciated! :)

Is it okay to say 'I am a fairly bright student'?
Fairly means naaah just okay.
but the bright means I'm such a brilliant student.

I'm pairing the wrong words together am I??I am a bright student but I don't really know how to put it into words.Help me!

Thanks.

yes. But I suggest just using bright student.

I think that's correct. But I don't quite understand why do you have to say directly that you are bright?