With popups you can do much more than a FAQ page.
I would proceed like this:
List all questions one after the other. At the end of each question is an icon with a big A that points to the answer. For the answer a popup is created, in which the question is repeated and the answer is written underneath.
A click on the A opens the popup.
Depending on how many questions and answers you have, a blog could be possible:
The blog page shows question and answer. The RSS view shows only the question.
That seems clearer to me. The blog index then lists only the questions.