Hi,
Your third sentence, exam is full of mistakes, is what we would say. The term abound is quite theatrical, academic, and not really daily speech
From what your trying to say I’d write / say:
I had so many mistakes in my math exam
I made so many mistakes in my math exam
My math exam was full of mistakes (could mean something different, like the questions in your math exam had mistakes in them!!)
So, who is making the mistake? The professor writing a mistaken exam or you writing wrong solutions in your exam
Happy for you to write back with any questions