Is this normal kitten behavior?

Our new, 3 month old kitten is very aggressive. When he plays, his favorite thing to do is run, top speed around the apartment. He has a crazed look on his face. His ears are all the up and all the way back. And his tail is bristled. Honestly, it’s scary to me (a person who has never had a pet).

Is this normal? Will he calm down after he’s neutered?