* Adjective: This is the most common use. "He's the supposed leader of the group."
* Verb: This is used in the past participle form. "I was supposed to be there at 6 pm."
* Past participle: Used as part of a verb phrase. "He had supposed that she was leaving."
Let me know the sentence you have in mind, and I can tell you exactly what part of speech "supposed" is in that context!