If you want to allow anonymous responses to questions, you can use the Moodle Questionnaire activity. Question types are more limited than in the quiz activity, and it does not give you an option to provide automatic feedback to selected responses. However, this is a good way to get a pulse on how the class is doing with a lesson or how they are feeling about an idea.
Pros: Responses can be anonymous. However, if desired, you can still see who has and has not submitted responses.
Cons: Limited question types. No automatic feedback to selected answers.
Expert: Sharon Strauss