repeat a year (In England, weak students do not have to repeat the year)
to drop out of school
be expelled from school/university
Education – Exams
cheat
examine
examiner
examination
fail
get through
pass
take / sit an exam
retake
revise for
study for
test
Education – Qualifications
certificate
degree
BA
MA
B.Sc.
M.Sc.
Ph.D.
diploma
Education – People
graduate
head-teacher
infant
lecturer
pupil
schoolboy
schoolgirl
student
teacher
instructor
undergraduate
Education – General
educate
education
educator
qualification
qualify
revise, revision
Cheat: (verb) To act in a dishonest way to get what you want.
Ex. 'The student cheated by writing the answers on his hand and looking at them during the test.'
Co-educational: (noun) A school that has both male and female students. A schools for just boys (or girls) is called a single-sex school.
Ex. 'I think co-educational schools helps students to form better relationships with members of the opposite sex in later life.'
Coursework: (noun) Coursework is the work done by students that contributes towards their overall grade, but which is assessed separately from their final exams. Coursework can, for example, take the form of experimental work, or may involve research. It can comprise of dissertations, reports or essays.
Ex. 'I get nervous when I take a test. I prefer to do coursework because I have a long time to do it and I can do it at my own pace.'
Enrol: (verb) To enrol means to join a course. In American English it is spelt enroll. The noun form is enrolment (enrollment US)
Ex. 'To enrol on this course you need to be here on 7th January to do the paperwork.'
Fail: (verb) To fail means that you did not pass your test. You did not get the necessary grade / score. Failure is the noun form.
'40% of students failed the test. The other 60% passed.'
Qualification: (noun) A qualification is the official proof that you have successfully completed a course or that you have the necessary skills.
'What academic qualifications do you have? Do you have a degree?'
Retake: (verb / noun) As a verb retake means to take an exam you failed in the past for a second time. As a noun retakes mean the exams which are held again for students who did not pass them the first time around.
Ex. 'Retakes will be held in February for all those students who did not get 40% on the last test.'
Ex.'Don't worry you will be able to retake this exam if you don't pass.'
Revise: (verb) To revise means to study before a test. This word is used in British English. In American English study or review is used. Revision is the noun form.
Ex. 'I'm going to stay in tonight and revise for Monday's test.'
Semester / Term: (noun) Both of these words are used to mean the periods of the school year. The school year is usually divided into three terms / semesters: Spring, Autumn and Winter.
'At this school each semester is 12 weeks long.'
Notes
note the different prepositions “of a university” and “from university” and “in a subject”