iSpot had a quiz (now that probably disqualifies iNat from considering one!). The issue is that it is easy to design a quiz for beginners (select only the species with the most observations in the quiz area), and even for intermediate users (select less frequently observed species), but it is so easy to create an impossible quiz (species with very few observations): getting that balance right is a challenge.
Please also restrict any one species to only occurring once in a quiz - due to the Western Leopard Toad monitoring project 9 out of 10 quiz answers - every time!!! - in southern Africa for herps was this species.
But please, if a quiz is done, allow for feedback for misidentifications, also be prepared for pictures with multiple species to generate ire when only one of the five species visible is an acceptable answer, or when the subject is microscopic and perhaps evident from the description, but impossible to discern from just the photograph.. But most importantly, esp. at higher levels, find a way to sneak in unidentified observations for taxa that might be in the focal group - so that the quizzes contribute to the identification of observations on the site and are not a stand-alone feature.. How to "score" quizzes of unidentified observations will be a challenge, and how to incorporate these IDs into iNaturalist will also require some thought.