I have been asked to play an audio recording of the scale (B,C#,D#,E,F#,G#,A#,B) but i am not sure which scale this is. It would also be helpful if anyone knew how to transpose these notes on an alto saxophone as well.
The key with 5 sharps in is key B major. I expect that's what the concert pitch is that you've been asked to provide.
Since the alto sax is a transposing instrument, it's no good playing those actual notes, as if you were reading them off a chart. So, what you would do, is play the scale of A♭ major, as if you were reading from a chart, and those key B notes would be sounded. So, write (if you like) A♭, B♭, C, D♭, E♭, F, G, A♭ on a stave, and play them.