The examiner will most probably play the tonic chord for you at the beginning. Sing out loud the tonic note and stop when you reach the first chord. Sing up from the tonic to this note and this will be the first chord. i.e. if you sing up 5, then this is chord 5. Then just work out the other chords from using either the tonic note you heard at the beginning or probably easier, the first chord you recognised. You could also try and listen to the last two chords as this will be a cadence. If the piece sounds finished it will be a perfect cadence, if it sounds like Amen it will be plagal, if it sounds unfinished it will be imperfect and so on.
I found the aural books with CDs to be very useful. Was even better when I had a teacher to go through them with me.
If you do A level music, this chord/cadence recognition will probably come up.
I always found the singing to be the hardest part of the aural. In my latest exam, I know I sang it in the wrong key, as I was suppose to land on the same note as the examiner (8ve lower), but I was way off.

Hope this helps and good luck.