This week's book giveaway is in the OO, Patterns, UML and Refactoring forum. We're giving away four copies of Refactoring for Software Design Smells: Managing Technical Debt and have Girish Suryanarayana, Ganesh Samarthyam & Tushar Sharma on-line! See this thread for details.
When a thread invokes a synchronized method, it automatically acquires the lock for that method's object and releases it when the method returns. The lock release occurs even if the return was caused by an uncaught exception.
So there is not need mark other 9 methods as synchornized(unless it is required).