Marking Scheme
Strictly Confidential
(For Internal and Restricted use only)
Senior Secondary School Examination 2026
MATHEMATICS (041) (PAPER CODE -65/3/1
General Instructions: -
1 You are aware that evaluation is the most important process in the actual and correct
assessmentSUBJECT
of the candidates.
NAME A small mistake in evaluation
MATHEMATICS [Q.P. CODEmay– (65-B)]
lead to serious problems
which may affect the future of the candidates, education system and teaching profession. To
avoid mistakes, it is requested that before starting evaluation, you must read and
understand the spot evaluation guidelines carefully.
2 “Evaluation policy is a confidential policy as it is related to the confidentiality of the
examinations conducted, Evaluation done and several other aspects. Its leakage to the public
in any manner could lead to derailment of the examination system and affect the life and future
of millions of candidates. Sharing this policy/document to anyone, publishing in any magazine
and printing in Newspaper/Website, etc. may invite action under various rules of the Board
and BNS.”
3 Evaluation is to be done as per instructions provided in the Marking Scheme. It should not
be done according to one’s own interpretation or any other consideration. The Marking
Scheme should be strictly adhered to and religiously followed. However, while evaluating,
answers which are based on latest information or knowledge and/or are innovative, they may
be assessed for their correctness otherwise and due marks be awarded to them. In class-XII,
while evaluating the competency-based questions, please try to understand the given answer
and even if reply is not from a marking scheme but correct competency is enumerated by the
candidate, due marks should
be awarded.
4 The Marking Scheme carries only suggested value points for the answers.
These are Guidelines only and do not constitute the complete answer. The students can have
their own expression and if the expression is correct, the due marks should be awarded
accordingly.
5 The Head-Examiner must go through the first five answer books evaluated by each evaluator
on the first day, to ensure that evaluation has been carried out as per the instructions given in
the Marking Scheme. If there is any variation, the same should be zero after deliberation and
discussion. The remaining answer books meant for evaluation shall be given only after
ensuring that there is no significant variation in the marking of individual evaluators.
6 Evaluators will mark (√) wherever answer is correct. For wrong answer CROSS ‘X’ be
marked. Evaluators will not put right (✓) while evaluating which gives the impression that
the answer is correct, and no marks are awarded. This is the most common mistake
which evaluators are committing.
7 If a question has parts, please award marks on the right-hand side for each part. Marks
awarded for different parts of the question should then be totaled up and written in the left-
hand margin and encircled. This may be followed strictly.
8 If a question does not have any parts, marks must be awarded in the left-hand margin and
encircled. This may also be followed strictly.
9 If a student has attempted an extra question, answer to the question deserving more marks
should be retained and the other answer scored out with a note “Extra Question”.
10 No marks to be deducted for the cumulative effect of an error. It should be penalized only
once.
1
MS_XII_Mathematics_041_65/3/1_2025-26
, 11 A full scale of marks (example 0 to 80/70/60/50/40/30 marks as given in Question Paper) has
to be used. Please do not hesitate to award full marks if the answer deserves it.
12 Every examiner must necessarily do evaluation work for full working hours, i.e., 8 hours
every day and evaluate 20 answer books per day in main subjects and 25 answer books per
day in other subjects (Details are given in Spot Guidelines). This is in view of the reduced
syllabus and number of questions in question paper.
13 Ensure that you do not make the following common types of errors committed by the
Examiner in the past: -
● Leaving answer or part thereof unassessed in an answer book.
● Giving more marks for an answer than assigned to it.
● Wrong totaling of marks awarded on an answer.
● Wrong transfer of marks from the inside pages of the answer book to the title page.
● Wrong question wise totaling on the title page.
● Wrong totaling of marks of the two columns on the title page.
● Wrong grand total.
● Marks in words and figures not tallying/not same.
● Wrong transfer of marks from the answer book to online award list.
● Answers marked as correct, but marks not awarded. (Ensure that the right tick mark is
correctly and clearly indicated. It should merely be a line. Same is with the X for
incorrect answer.)
● Half or a part of the answer marked correct and the rest as wrong, but no marks
awarded.
14 While evaluating the answer books if the answer is found to be totally incorrect, it should be
marked as cross (X) and awarded zero (0) Marks.
15 Any unassessed portion, non-carrying over of marks to the title page, or total error
detected by the candidate shall damage the prestige of all the personnel engaged in the
evaluation work as also of the Board. Hence, to uphold the prestige of all concerned, it is again
reiterated that the instructions be followed meticulously and judiciously.
16 The Examiners should acquaint themselves with the guidelines given in the “Guidelines for
Spot Evaluation” before starting the actual evaluation.
17 Every Examiner shall also ensure that all the answers are evaluated, marks carried over to
the title page, correctly totaled and written in figures and words.
18 The candidates are entitled to obtain a photocopy of the Answer Book on request on payment
of the prescribed processing fee. All Examiners/Additional Head Examiners/Head Examiners
are once again reminded that they must ensure that evaluation is carried out strictly as per
value points for each answer as given in the Marking Scheme.
2
MS_XII_Mathematics_041_65/3/1_2025-26
, MARKING SCHEME
MATHEMATICS (Subject Code–041)
(PAPER CODE: 65/3/1
Q. No. EXPECTED OUTCOMES/VALUE POINTS STEPS MARKS
SECTION A
This section comprises 20 multiple choice questions (MCQs) of 1 mark
each.
1.
Sol. 1 (D) [2,3] I 1
2.
Sol. 2 (A) -1 I 1
3.
Sol. 3 (A) symmetric matrix I 1
4.
Sol. 4 (B) 1 × 3 I 1
MS_XII_Mathematics_041_65/3/1_2025-26 3
Strictly Confidential
(For Internal and Restricted use only)
Senior Secondary School Examination 2026
MATHEMATICS (041) (PAPER CODE -65/3/1
General Instructions: -
1 You are aware that evaluation is the most important process in the actual and correct
assessmentSUBJECT
of the candidates.
NAME A small mistake in evaluation
MATHEMATICS [Q.P. CODEmay– (65-B)]
lead to serious problems
which may affect the future of the candidates, education system and teaching profession. To
avoid mistakes, it is requested that before starting evaluation, you must read and
understand the spot evaluation guidelines carefully.
2 “Evaluation policy is a confidential policy as it is related to the confidentiality of the
examinations conducted, Evaluation done and several other aspects. Its leakage to the public
in any manner could lead to derailment of the examination system and affect the life and future
of millions of candidates. Sharing this policy/document to anyone, publishing in any magazine
and printing in Newspaper/Website, etc. may invite action under various rules of the Board
and BNS.”
3 Evaluation is to be done as per instructions provided in the Marking Scheme. It should not
be done according to one’s own interpretation or any other consideration. The Marking
Scheme should be strictly adhered to and religiously followed. However, while evaluating,
answers which are based on latest information or knowledge and/or are innovative, they may
be assessed for their correctness otherwise and due marks be awarded to them. In class-XII,
while evaluating the competency-based questions, please try to understand the given answer
and even if reply is not from a marking scheme but correct competency is enumerated by the
candidate, due marks should
be awarded.
4 The Marking Scheme carries only suggested value points for the answers.
These are Guidelines only and do not constitute the complete answer. The students can have
their own expression and if the expression is correct, the due marks should be awarded
accordingly.
5 The Head-Examiner must go through the first five answer books evaluated by each evaluator
on the first day, to ensure that evaluation has been carried out as per the instructions given in
the Marking Scheme. If there is any variation, the same should be zero after deliberation and
discussion. The remaining answer books meant for evaluation shall be given only after
ensuring that there is no significant variation in the marking of individual evaluators.
6 Evaluators will mark (√) wherever answer is correct. For wrong answer CROSS ‘X’ be
marked. Evaluators will not put right (✓) while evaluating which gives the impression that
the answer is correct, and no marks are awarded. This is the most common mistake
which evaluators are committing.
7 If a question has parts, please award marks on the right-hand side for each part. Marks
awarded for different parts of the question should then be totaled up and written in the left-
hand margin and encircled. This may be followed strictly.
8 If a question does not have any parts, marks must be awarded in the left-hand margin and
encircled. This may also be followed strictly.
9 If a student has attempted an extra question, answer to the question deserving more marks
should be retained and the other answer scored out with a note “Extra Question”.
10 No marks to be deducted for the cumulative effect of an error. It should be penalized only
once.
1
MS_XII_Mathematics_041_65/3/1_2025-26
, 11 A full scale of marks (example 0 to 80/70/60/50/40/30 marks as given in Question Paper) has
to be used. Please do not hesitate to award full marks if the answer deserves it.
12 Every examiner must necessarily do evaluation work for full working hours, i.e., 8 hours
every day and evaluate 20 answer books per day in main subjects and 25 answer books per
day in other subjects (Details are given in Spot Guidelines). This is in view of the reduced
syllabus and number of questions in question paper.
13 Ensure that you do not make the following common types of errors committed by the
Examiner in the past: -
● Leaving answer or part thereof unassessed in an answer book.
● Giving more marks for an answer than assigned to it.
● Wrong totaling of marks awarded on an answer.
● Wrong transfer of marks from the inside pages of the answer book to the title page.
● Wrong question wise totaling on the title page.
● Wrong totaling of marks of the two columns on the title page.
● Wrong grand total.
● Marks in words and figures not tallying/not same.
● Wrong transfer of marks from the answer book to online award list.
● Answers marked as correct, but marks not awarded. (Ensure that the right tick mark is
correctly and clearly indicated. It should merely be a line. Same is with the X for
incorrect answer.)
● Half or a part of the answer marked correct and the rest as wrong, but no marks
awarded.
14 While evaluating the answer books if the answer is found to be totally incorrect, it should be
marked as cross (X) and awarded zero (0) Marks.
15 Any unassessed portion, non-carrying over of marks to the title page, or total error
detected by the candidate shall damage the prestige of all the personnel engaged in the
evaluation work as also of the Board. Hence, to uphold the prestige of all concerned, it is again
reiterated that the instructions be followed meticulously and judiciously.
16 The Examiners should acquaint themselves with the guidelines given in the “Guidelines for
Spot Evaluation” before starting the actual evaluation.
17 Every Examiner shall also ensure that all the answers are evaluated, marks carried over to
the title page, correctly totaled and written in figures and words.
18 The candidates are entitled to obtain a photocopy of the Answer Book on request on payment
of the prescribed processing fee. All Examiners/Additional Head Examiners/Head Examiners
are once again reminded that they must ensure that evaluation is carried out strictly as per
value points for each answer as given in the Marking Scheme.
2
MS_XII_Mathematics_041_65/3/1_2025-26
, MARKING SCHEME
MATHEMATICS (Subject Code–041)
(PAPER CODE: 65/3/1
Q. No. EXPECTED OUTCOMES/VALUE POINTS STEPS MARKS
SECTION A
This section comprises 20 multiple choice questions (MCQs) of 1 mark
each.
1.
Sol. 1 (D) [2,3] I 1
2.
Sol. 2 (A) -1 I 1
3.
Sol. 3 (A) symmetric matrix I 1
4.
Sol. 4 (B) 1 × 3 I 1
MS_XII_Mathematics_041_65/3/1_2025-26 3
