After selecting a Meet, Team and Gymnast, the Tab Bar of buttons at the TOP of the main screen will be enabled, including the TWO methods for entering Scores. The first button - Score by Gymnast is for selecting a gymnast and entering scores for each event and the ability to select teammates and continuing scoring.
The second button - Score by Event - is a way of organizing how scores are entered based on a list of teammates and entering all scores for a selected EVENT. This second way can save a bunch of time entering scores because there is less selecting gymnasts and moving around in the application.

Scoring by Gymnast

Now each event is displayed with its current score - if previously entered. Click on the Detail Disclosure button of the event you wish to enter or modify. A picker or score pad - based on your selected preference for scoring control (see preferences) - will appear. Enter the score and tap on Save.

Scoring by Event

Scores can be entered by Event for a team of gymnasts without having to select a new teammate before entering a score. The second tab bar button will display the second page above.