I did readings for a party of teens last year, ages ranging from 12-17. Since it was a Halloween themed party, I used the Halloween Tarot deck - it gives great readings, but with a neat, upbeat appearance.
What I found was that the older teens had all the same concerns we all do, but from their perspective.... relationship questions, concerns about what they needed to do to get into the college they wanted, or what sort of career they should pursue, the strain of having to make choices - work or focus on studies, whether or not to try to pursue a long distance relationship now that boyfriend is moving away, how to communicate with their parents, etc.
The younger ones were very interested in 'does so and so like me?' but they also wanted me to tell them something 'spooky'. With them, I mostly wound up using the cards to spark stories and let them tell me what they were. They made up some funny spooky stories and were happy with that.
The biggest hit, though, was just talking to them about the cards - a simple crash course in number and element meanings so they could decode them for themselves. Many had high interest but this was the first time they'd actually gotten to play with them. The interested stayed near me and asked questions, but the party had lots of other things going on so no one was forced to deal with it that didn't want to.
I don't think I'll ever do it again at a party I'm hosting (too much work doing this plus keeping the chips filled plus making sure rowdy kids didn't knock over candles, plus chaperoning - I had other adult help, but still...exhausting!), but I found talking to teens about Tarot was very rewarding and interesting. Many of their questions and observations were a lot more mature than some adults I've read for.