Just an update on this feature.
I think it could be interesting to be able to diplay some/all questions in the left block menu.
So I made a patch for recent Moodle version in the MDL-5911 tracker issue.
But it seems that this issue has no more watcher or vote so maybe I am wrong in thinking this could be an interesting new feature.
So if you are interested, please vote for this issue or comment.
I will not send it to peer review if nobody is interested