Hello! I applied for a Music and Theathre school a couple of days ago, and I got a mail from them saying I might have to attend a sort of skill test.

Long story short, I need a few new, more impressive songs I can play for them.
The songs should be in the jazz/funk genre, but anything goes.

I also want to learn a bit of theory, in case I get in. So if anyone have some advice on where to start that, that would be great.

Also, if anyone have some general tips for me regarding the skill test, or well, anything, please tell!
Just improvise over a backtrack and show-off your aural as well as physical skills.