Instead of searching "free personality test," try:

The Eysenck Personality Inventory (EPI) is excellent for measuring baseline anxiety (Neuroticism) before treatment begins. Print the PDF as an intake form.

: These tests aim for maximum accuracy and minimum error by comparing an individual's responses against standardized scoring mechanisms and established norms. No Right or Wrong Answers

It sounds like you're looking for a of a personality inventory test — either for self-assessment, educational use, or professional practice.

If you need a "paper" test that takes less than one minute, the is the standard brief instrument for assessing the Five-Factor Model.