Men's basketball and football are all full scholarships. For the women, it is volleyball and basketball.
All other sports, it is up to the coach's discretion. Track has very few scholarships (compared to the number of team members) so there will be few full scholarships (if am) and many partials. The partials are usually determined by a percentage. It could be as small as books only though.
By the way, baseball has very few scholarship so they are mostly partials. That is probably why there are few guys that turn down the minor leagues out of high school. Especially if they family can not afford college.