Answer:
I am not alive but I can die. What am I?
I can be thin but not fat; in your body but never on your placemat. I'm always better when I'm fresh but you'll never see me in the flesh.
Where I am there is no south, west, nor east, and weather is not fit for man or beast. What am I?
What goes up and down but does not move?
I come without being fetched at night, hide away as soon as daylight strikes. Although I may look small, I am much mightier than what you can imagine. What am I?
What made Cyclops quit teaching?