We have discovered that under certain conditions you can pick the screen you want to play on.
To do this, start a new game, and pause it, noting the screen you are on.
Click here and print out the page of tables. You will want to have this beside you for easy lookup.
Figure out which of the three tables pertains to you and then select the row which denotes the current screen you are on and column denoting which screen you would like to play on. The number in the cell represents the number of pieces you should then drop.
Drop that number of pieces and then exit the game. Start a new game and you will be on your desired screen.
This will only work if you have played enough games to allow access to all 8 screens, Factory being the last one. This will not work if you have the music mode on AUTO. Also, when starting your game, you will have to select the START on the screen with the A button instead of pushing the start button on the joystick.