Moodle questionnaires are similar to quizzes but are directed towards obtaining data or feedback rather than evaluating student work.
1. After clicking Turn editing on in the top right, click 
in the section of the course page that you would like the questionnaire to appear.
2. Select Questionnaire from the menu. Then click Add at the bottom of the pop-up window.
3. This will redirect you to a page where, in the General section, you enter the name and a summary of the questionnaire.
4. In the Timing section, you may dictate when you want to open the questionnaire to your class. You may also select when you want to close the questionnaire.
5. In the Response Options section are a number of different options.
a. Type: select whether students will be allowed to respond once, daily, weekly, monthly or an unlimited number of times (many).
b. Respondent Type: select whether students’ names will be shown or will be anonymous.
c. Students Can View All Responses: specify who can see the responses of all respondents to submitted questionnaires. This will show as a general statistics table.
d. Save/Resume Answers: Select whether students are allowed to save their answers to a questionnaire before submitting them. Users can leave the questionnaire unfinished and resume from the save point at a later date.
e. Submission Grade: select the scale or the grade a student receives from completing the questionnaire.
6. In the Content Options section, you may choose to create a new questionnaire, copy and edit an existing questionnaire, or use a public questionnaire.
7. After you have selected your desired settings, scroll to the bottom of the page and select the Save and display button.
8. The page will redirect to a page that states “This questionnaire does not contain any questions.” Click Add questions.
9. On the next page, in the Questions tab you will be able to create a questionnaire. Here are the different types of options you may create from the dropdown menu:
a. Page Break: starts a new page of questions.
b. Check Boxes
Note: enter each possible answer on a new line.
c. Date
d. Dropdown Box
Note: enter each possible answer on a new line.
e. Essay Box
f. Label: use if you want to introduce a question or a series of questions.
g. Numeric
h. Radio Buttons
i. Rate
a. Normal: default
b. N/A: adds a N/A column
c. No duplicate choices
d. Osgood: uses a scale, in which 1=–, 2=-, 3=±, 4=+, and 5=++.
Note: enter each possible answer on a new line.
Example:
j. Text Box
k. Yes/No
10. After creating a list of questions, you may:
a. Move the question up or down another question 
b. Edit the question 
c. Delete the question 
11. Click on Preview tab at the top to see how the questionnaire looks to a student.
To delete a questionnaire, please see this post.