In an apology letter to a teacher for failing an exam, it's crucial to be clear, sincere, and polite. Begin by addressing the teacher respectfully, mentioning your name, class, and roll number. Clearly state the reason for the letter, which is apologizing for failing the recent exam. Provide specific details such as the subject, exam date, and marks obtained. Explain the reason for the poor performance, if applicable. Request the opportunity to retake the exam and express determination to improve. Conclude with a polite closing and your name and roll number for identification.
Sample Apology Letter for Failing in Exam
To,
The Class Teacher,
__________ (Name of the School),
__________ (School Address)
Date: __/__/____
Subject: Apology for failing in exam
Respected Sir/Madam,
I am ________ (Name of the Student), studying in your class i.e. ________ (Name of the Class), holding the roll number ________ (Roll Number Issued) write this to apologize for poor performance in exam recently conducted.
I am sorry to inform you that I have failed in ________ (Mention the subject) exam taken on ________ (Mention examination Date). I have scored ________ (Marks scored) marks which is very less than the expected marks. The major reason for the same was ________ (sickness/ parents not well/ could not study/ did not have resources to study, any other reason)
I request you to kindly accept my apology and let me take the exam in this subject again. I also promise that I will score good marks in the coming exams.
Yours Faithfully/Sincerely,
__________ (Name of the Student),
__________ (Roll Number)
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Sandeep Bhandari 
Deepanshu Thakral