At times, our concentration does begin to taper right before exams. Maybe it's because exams are pressurizing and we don't want to learn while we are stressed.
Here's what you can do, with varying success -
Read out loud: It's just a way of making sure you are studying something. If your mind starts wandering, you'll won't understand what you are reading out and you'll alert yourself.
Write: Fill up pages with words that are important. It helps you stay on topic and concentrate. Whenever I am unable to concentrate, I make mini notes on what I will write in the exams. (I also write extra points that others are not likely to write in the exam, pretend my answer is going to be the best - Just to boost my spirit and make myself feel better!)