You may prefer to make a questionnaire template. That way you will be able to reuse it. To build a questionnaire template, go to "My Account", "Account Settings", and then "My Templates". Here you can create a questionnaire template.
Here is a quick video on questionnaire design: http://17hats.uservoice.com/knowledgebase/articles/520569-video-questionnaires-setup
You can also create a questionnaire directly from the contact's page, by clicking on "Add" and then "Questionnaire".
When creating questionnaires from the contact page, you can also choose to save it as a template to be reused later. Just click the "Save as new Template" box.
KeywordSearch: Questionnaire, Template