I've started putting my reading and listening assignments (resource web pages and links to web pages) in Quizzes so that I can ask 1-5 comprehension check questions at the end, and then score these at one or two points (total). In fact, for some questions I score no points for correct answers (alternatively have scored all answers "right" at 0.2 or so) because I don't want to value "right and wrong" too much, but instead to provide an incentive to do the readings (and listenings). I also allow multiple retakes, of course! (Of course someone could just zoom down to the bottom and guess I provide varying levels of feedback here too. So a grade is not the real aim.
My sense is that using Quiz is not an ideal situation. There are 2-4 reading assignments per week, plus often a video or audio recording (sometimes on my server, sometimes off-site, only occasionally a "moodle file"). I dunno what is happening "under the hood" but suspect I'm making moodle work harder than necessary. It feels strange writing these as quizzes. (In fact, transferring some of last year's readings to quiz this year through cut and paste -- it works but seems peculiar.)
And I just don't like labeling these tasks as quizzes!
I've looked at the Activity Locking discussions under Conditional Activity, it doesn't seem to be quite what I'm looking for, nor does it work very well (and I'm not a server guru, I can't have things going down left and right). And I don't see that the option for Online Text in Assignments is quite right either - I want a bunch of little true/false, multi-choice, matching, or simple fill in the gap exercises. There is no f2f in this course, I'm really trying to push students to do their readings without penalizing them for poor comprehension (it's an English language learning course!).
(I'm presently in v1.5.4, will upgrade to 1.6 in January, not before)