Is Hermione a Half Blood?

The trio of Harry Potter, Ron Weasley and Hermione Granger consists of all three types of Wizards. Harry being half-blood, Ron being Pure-blood, and Hermione being Muggle-born.

Is Hermione a Mudblood?

Use by Muggle-borns

For example, Lily Evans told her former friend Severus Snape that if he was going to refer to other Muggle-borns as "Mudbloods", then he had to use the term for her as well, and Hermione Granger declared that she was proud to be a "Mudblood" in 1998.

Are Ron and Hermione kids half-bloods?

Ron's kids might be called half-bloods because of the reputation of the weasly family and hermione being muggleborn. But Harry would probably be called pureblood because of the reputation of the Potters. If Harry isn't considered pure-blood (he's half-blood), then no, they aren't.