Answer:
What gets sharper the more you use it?
The more you take of me the more you leave behind.
I may be of the eye, in order I am pie. In my center there is a star, I keep medics where they are. What am I?
The warmer I am, the fresher I am. What am I?
You throw me out when you use me and take me in when you are done.
What language does a billboard speak?