>> Your ability to synthesize knowledge out of thin air
As someone who graduated high school, I'd hope my more accomplished peers would know the difference between hypothesis, theory and proof. It is entirely possible, and useful, to test someone's ability to form a cogent hypothesis. If you were faced with a question beyond the scope of the ideas you were taught, and could not rely on any assistance, the only useful thing to know about you is how well you would handle it yourself.
If you would synthesize knowledge out of thin air, that would be a failing grade.