"questionnaire about" is correct and usable in written English.
For example, "The school sent out a questionnaire about the quality of its cafeteria food."
She sent out a questionnaire about the colors people dream.
"I received the questionnaire about a month ago.
All filled out a questionnaire about their eating habits.
Participants completed a questionnaire about choosing an instructor.
"She took our Polaroids and filled in a questionnaire about what we could do.
If Chicago had to fill out a questionnaire about itself, would it check male or female?
Committee leaders want her to redo a questionnaire about her legal career.
Then have them answer a short questionnaire about the issues related to the picture.
The four-page questionnaire about income and assets requires six pages of instructions.
Social Studies- Create a questionnaire about why people choose the friends they do.
Capitol Hill Arts Workshop asks parents to fill out a pre-camp questionnaire about their child.
