In my first and second semesters of nursing school, we had 1 patient per student in med-surg and OB. Third semester we occasionally had 2 in med surg. By fourth, we always had 2 and sometimes 3 also in med surg. We also did team leading in fourth semester. The clinical group was split into 2 groups of 3-4 students. Those students had 2-3 patients a piece, but the team leader had none. Team leaders were had to go the night before clinicals and gather all the patient info and give report to each student on their patients the morning of clinicals. They had to make sure all patients got meds, treaments, discharged, etc.
Nurses on our units had patient ratios of 4-8. The main problem with multi-tasking I had in nursing school was instructor availability. There was one instructor overseeing 6-8 students. Since every medication you give had to be checked by the instructor, it could be very time consuming if there were a total of 15-20 patients. Sometimes I would wait for almost an hour and a half to pass meds. It's really difficult if the patient is requesting pain meds, so I would tell my instructor the patient was in pain or get the nurse to give it. It helped to offer pain meds before you went to get the regular scheduled meds so you could do it both at the same time.
I would worry more about multi-tasking between lectures, skills lab, and clinicals combined, rather than just at clinicals. Usually, I would have a test on Monday, clinicals on Tuesday, lecture on Wednesday, and lab on Thursday. Throw in the required reading, practicing skills for checkoffs, all the paperwork for clinicals, and studying for a test. It's practically a full time job!
Hope this helps and good luck!