Student

A student was an individual obtaining an education, usually at a school, college, university, or other academic institution.

School students
A school student, or pupil (TV: School Reunion) was an individual who studied at a school.

Sixth form students
A sixth form student was an individual who studied at a sixth form. Although usually older than school students, sixth form students were similar in that they studied a variety of subjects. (TV: For Tonight We Might Die)

College students
to be added

University students
A university student was an individual who studied at a university.

Unlike school and college students, university students usually studied just one subject. They were often referred as a student of their chosen subject, for example both Liz Shaw (TV: Spearhead from Space) and Martha Jones studied medicine and were therefore referred to as medical students. (TV: Smith and Jones)

A student in their first year of university could be referred to as a fresher. (TV: Knock Knock) A student who completed university was known as graduate of that university. (AUDIO: Autumn, TV: Death in Heaven)

University students could be studying towards a degree (TV: Spearhead from Space) or a more advanced diploma, such as a Doctorate. (TV: The God Complex)

Subjects studied at university could be as diverse as cheesemaking. (TV: The God Complex)

Time Lord students
The Deca were a group of top-ranked students at the Time Lord Academy. (PROSE: Divided Loyalties) The Doctor was one of them, even though he did not excel academically, graduating only with a 51% pass rate on the second attempt. (TV: The Ribos Operation) Romana, however, achieved a "Triple First" when she was at the Academy centuries later. (TV: The Ribos Operation)