Inept?
In all my years of teaching, I have never had an inept student. I've had students that have a longer journey to reach their goals, but never inept. As a teacher, it is my job to teach in a way that improves their abilities.
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The name will depend upon the martial art. In karate it is called a kata. Other arts use the word form or poomse for a sequence.
Calling someone "Master" is a common in Martial Arts. It's more a sign of respect than of subservients. However, it is debatable by some. Many martial arts instructors prefer a translation equivalent to "Teacher" in the respective language, such as "Sensei" in Japanese, "Sifu" in Chinese, "Sabeomnim" in Korean and so on. The belief is one truly never masters the martial arts as it is an ever learning experience.
In most Japanese Martial Arts (Karate, Judo, Aikido, Jujutsu, Daken-Taijutsu, Koppo, etc...) it's called a "Hane-age" (pronounced ha-neh-a-geh ) or in English in most circles it's called a "Kip-up" regardless of Martial Arts or whatever...
It depends upon the martial art. It can also differ based on the rank of the instructor. Japanese martial arts refer to the instructor as sensei. Sensei is Japanese for teacher, literally translating before born or one who is born before. Chinese arts use the term 'sifu.' Korean arts use the term 'saboom.'
That will depend on the school or style you are studying. The Japanese word is dojo. Other styles may use the term doha or even temple.