Cris,
I know this is over two months old, but you can ask your IT to custom-create a role. The role can be called "Question Sharer" or "Question Bank User",
http://docs.moodle.org/22/en/How_to_let_teachers_share_questions_between_courses
http://docs.moodle.org/22/en/Question_permissions_explained_with_diagrams