Which term indicates to play somewhat faster than the norm?

The correct term for indicating to play somewhat faster than the norm is "Più mosso." This Italian phrase translates to "more motion," and it is commonly used in musical notation to instruct musicians to increase the tempo beyond what has been previously established. When a composer indicates "Più mosso," they are allowing for a lively and energetic performance, suggesting a tempo increase that adds excitement and momentum to the piece.

In contrast, the other terms refer to specific tempos but do not inherently suggest a relative increase from the original pace. "Allegretto," for example, implies a moderately fast tempo, typically slower than "Allegro." "Allegro" denotes a quick and lively tempo on its own, while "Poco a poco" means "little by little," which suggests a gradual change rather than a direct instruction to increase speed. Thus, when looking for a term that specifically indicates playing faster than the norm, "Più mosso" is the appropriate choice.