I took an IQ test as a child and they said I was at genius level.
Same. Lots of geniuses were geniuses in one area of study, not so much many areas, that is, they were only geniuses at one thing, like art or science.
Yes, I was excellent at geography, science and history yet absoluetely terrible at mathematics.
Geniuses generally excel in a way to where they are able to discover new things, or advance knowledge of specific subjects.
I think highly of men like Hawking or Einstein for the way they opened up the world with their discoveries.
So I just learned that in Rome, a 'genius' was the spirit who guided a person, family or place, so I guess that spirit must have taught them things.
Genius doesn't have to be academic exclusively, there are other ways the world works like social interactions.
Right. When some people excelled they thought there was an especially powerful genius guiding them, so that by the time of Augustus, the word came to take on it's new secondary meaning, which is talent or inspiration.
Many geniuses find their inspiration in things like literature, music, or art regardless of their line of studies.
Evidently, science hasn't really come up with an exact definition of genius, but psychologists have come to an agreement that it means exceptional creativity and achievement.