"To write the examinations" means to complete or take the tests or exams that have been given to you, usually in an educational setting. Full definition
The proposals, as I understand them, are that each subject should be tested only by one single written examination of no longer than two hours. (politics.co.uk)
The program curriculum includes written examinations along with hands - on assessments that cover an array of grooming procedures and techniques. (veterinarianedu.org)
For some, the answer is a traditional, externally developed and marked three - hour written examination. (teachermagazine.com.au)