Bullseye

Hitting the Bullseye may seem a little awkward with the way the dart throwing mechanic is set up, but I found centering the dart at the bottom of the screen and using nearly maximum power should land you a bullseye at some point in the game.  Keep in mind Round Two is the best round to go for multiple Bullseyes, but a Bullseye in Round One will get you 200 points and an extra dart, and a Bullseye in Round Three will also get you 200 points. Both of those rounds can only honor a bullseye once with those points though.

Below is an example of a Round Two start, getting two questions incorrect and a Bullseye with a correct answer: