10:00 PM Monday, in Eastern Time is 12:00 PM Tuesday, in Sydney NSW, Australia.
Here's a link you can check:
http://timebie.com/timezone/easternsydney.php
If you have an android phone, maybe you would like to add this widget:
https://play.google.com/store/apps/details?id=tm.app.worldClock&hl=en
If not, there is an app called "timeanddate".