You continue to play rated the same way, even after the first ten. The only difference is that you do not self-rate yourself before the game. Just click start and you will be placed in a rated game based on your current rating. If you noticed during the first 10 games, the bonuses you receive for rating yourself expert or beginner gradually lessen as you play more games, until the 10th game when the bonuses cease completely.
Anyway, to answer simply, simply click start on the quick setup page.
My Scenario: Battle PitThere once were four people named Everybody, Somebody, Anybody and Nobody. There was an important job to do and Everybody was asked to do it. Everybody was sure Somebody would do it. Anybody could have done it, but Nobody did it. Somebody got angry about that because it was Everybody's job. Everybody thought that Anybody could do it, but Nobody realized that Everybody would not do it. It ended up that Everybody blamed Somebody when Nobody did what Anybody could have done.