Names for quizbowl
Etymology
College Bowl referred to its activity as "quiz bowl" since the beginning of the program. This was probably in imitation of college football bowl games and accordingly College Bowl events would often feature large audiences and cheerleaders.
Usage
"quizbowl" vs. "quiz bowl"
Usage of quizbowl as a compound word, as opposed to "quiz bowl", in two words, seems to be a rather recent phenomenon. Although both word forms are in contemporary usage, "quizbowl" is more generally accepted by mainstream quizbowl. Most media outlets still refer to "quiz bowl". NAQT's official style uses "quiz bowl".
"The Quiz Bowl"
Referring to quizbowl was referred to as an event (e.g. "I played in the quiz[ ]bowl", is now somewhat archaic. This construction also dates back to GE College Bowl.
Scholar's Bowl
Kansas, Missouri, and the Vermont NEA sponsor an activity officially known as Scholars Bowl, Scholar's Bowl, or Scholars' Bowl. That name is also popular in southern Illinois.
Scholastic Bowl
The IHSA sponsors an activity officially called Scholastic Bowl. Most teams in Illinois with a connection to the national circuit refer to the activity as quiz[ ]bowl, although the principal quizbowl organization in Illinois—the Illinois High School Scholastic Bowl Coaches Association—does not officially do so. Some teams are formally known as "[School] Academic Team", "[School] Quiz Team", or other variations.
Knowledge Bowl
In the United States, Knowledge Bowl almost exclusively refers to a specific game played with Academic Hallmarks questions. NAQT has apparently paid for a Google search queary for "knowledge bowl" as yielding its website.
Brain Bowl
Some formats and competitions using the Brain Bowl name including: