Questionnaires and quizzes are per user activities, only that user can see them. A student would have to either using the Snipping tool to screenshot them, or copy paste them.
You may want to look at using the following activities where all students can see them:
- Choice - have students take the choice, and then create a discussion forum to talk about it.
- Wiki - students create documents together.
- Glossaries - students create a discussion topics- the glossary automatically generates discussion forums on each topic.
- Workshop - great for peer editing of documents, comments, etc.