The term functions as a noun phrase, in which the word "quiz" serves as the head noun. The preceding words, "Patriot Day," act as modifiers that specify the nature and subject of the noun. The central part of speech for the entire concept is therefore a noun.
In this grammatical construction, "Patriot Day" is a proper noun that functions as an attributive noun or a compound adjective. Its role is to modify the head noun, "quiz." It delineates the specific topic of the quiz, distinguishing it from any other type, such as a "history quiz" or a "science quiz." The phrase operates by using one noun ("Patriot Day") to describe another ("quiz"), a common structure in English for creating specific and descriptive terminology.
Understanding this grammatical role is crucial for content creation. Since the core subject is a "quiz" (a noun representing a test of knowledge), the article's primary focus must be on providing a set of questions and answers. The modifier "Patriot Day" dictates that the content of these questions must pertain directly to the American observance on September 11th. This analysis ensures the article directly meets the user's intent by delivering a test of knowledge on that specific subject, rather than a general history or definition of the day itself.