According to the IQ tests, she doesn't have the capacity to do any of this. (I guess she must be grabbing her intelligence out of the sky somewhere.) Are the IQ tests just flat-out wrong-- and if so, what good are they anyway? Why not rely on out-of-level achievement tests instead?
For some people, IQ tests just don't work. My roommate in college was like that. He tested relatively low on IQ tests, but he was obviously extremely intelligent and now he wanders the corporate world on his company's nice corporate jet.
I think the issue of achievement tests vs. IQ tests is to find the intelligent people, not the people who cram for achievement tests. I don't think there's a good way to find the high achievers who just don't do well on IQ tests.
The short answer is that psychological tests like the IQ test are just going to be wrong for a certain percentage of the population and there is just no way around that. It's in the nature of psychological tests. It's not engineering, it's psychology.