Hello,

Practising JAM question papers will familiarize you with the exam pattern and the marking scheme followed. You'll also come across the questions doing frequent rounds in exams. You can find previous years' JAM Mathematics question paper by clicking on the link below:

https://university.careers360.com/articles/jam-sample-papers

Unfortunately answer sheets not available officially for download. 

Mathematics questions paper a sper 2012 JAM below. 

http://questionpaper.in/QuestionPaperDownload8766-0-33_IIT-JAM-IIT-JAM-Mathematics-2012-Question-Paper-Free-Download.aspx