Hey man all from what your saying it seems like she is pointing towards you asking her out.
She asked you to go on the rides with her, in my books that is a real good sign with a girl! You gotta follow your instincts and be yourself, I know sometimes it can get tense when your in a female situation but thats life and your gonna have to get used to it sooner or later.
Follow your instincts, make a decision on what type of girl she is and from there plan on what you want to do. Study a bit, and use your head because that will make the difference in these types of relationship situations.
Hope this helps, dont forget to come back and tell us how it went and what you decided to do.
Good luck man, hope it goes well