CBSE Math Standard Past Year Paper with Solutions - 2025 (Set - 3) | Mathematics (Maths) Class 10 PDF Download

 Page 1


MS_X_Mathematics_041_30/3/1_2024-25    1 
 
Marking Scheme 
Strictly Confidential 
(For Internal and Restricted use only) 
Secondary School Examination, 2025 
MATHEMATICS (Standard) (Q.P. CODE 30/3/1) 
General Instructions: - 
1.  You are aware that evaluation is the most important process in the actual and correct assessment of 
the candidates. A small mistake in evaluation may 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. It’s leakage to 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 News Paper/Website etc. may invite action under various rules of the Board 
and IPC.” 
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. 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-X, while evaluating 
the competency-based questions, please try to understand given answer and even if reply is 
not from 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 in the nature of 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 an impression that answer is correct 
and no marks are awarded. This is 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 totalled up and written on the left-hand margin and 
encircled. This may be followed strictly. 
Page 2


MS_X_Mathematics_041_30/3/1_2024-25    1 
 
Marking Scheme 
Strictly Confidential 
(For Internal and Restricted use only) 
Secondary School Examination, 2025 
MATHEMATICS (Standard) (Q.P. CODE 30/3/1) 
General Instructions: - 
1.  You are aware that evaluation is the most important process in the actual and correct assessment of 
the candidates. A small mistake in evaluation may 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. It’s leakage to 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 News Paper/Website etc. may invite action under various rules of the Board 
and IPC.” 
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. 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-X, while evaluating 
the competency-based questions, please try to understand given answer and even if reply is 
not from 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 in the nature of 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 an impression that answer is correct 
and no marks are awarded. This is 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 totalled up and written on the left-hand margin and 
encircled. This may be followed strictly. 
MS_X_Mathematics_041_30/3/1_2024-25    2 
8.  If a question does not have any parts, marks must be awarded on the left-hand margin and encircled. 
This may also be followed strictly. 
9.  If a student has attempted an extra question, answer of 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. 
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 has to 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 totalling of marks awarded to an answer. 
? Wrong transfer of marks from the inside pages of the answer book to the title page. 
? Wrong question wise totalling on the title page. 
? Wrong totalling 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 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 un assessed portion, non-carrying over of marks to the title page, or totaling error detected by 
the candidate shall damage the prestige of all the personnel engaged in the evaluation work as also 
of the Board. Hence, in order 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 totalled and written in figures and words. 
18.  The candidates are entitled to obtain 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. 
  
Page 3


MS_X_Mathematics_041_30/3/1_2024-25    1 
 
Marking Scheme 
Strictly Confidential 
(For Internal and Restricted use only) 
Secondary School Examination, 2025 
MATHEMATICS (Standard) (Q.P. CODE 30/3/1) 
General Instructions: - 
1.  You are aware that evaluation is the most important process in the actual and correct assessment of 
the candidates. A small mistake in evaluation may 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. It’s leakage to 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 News Paper/Website etc. may invite action under various rules of the Board 
and IPC.” 
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. 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-X, while evaluating 
the competency-based questions, please try to understand given answer and even if reply is 
not from 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 in the nature of 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 an impression that answer is correct 
and no marks are awarded. This is 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 totalled up and written on the left-hand margin and 
encircled. This may be followed strictly. 
MS_X_Mathematics_041_30/3/1_2024-25    2 
8.  If a question does not have any parts, marks must be awarded on the left-hand margin and encircled. 
This may also be followed strictly. 
9.  If a student has attempted an extra question, answer of 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. 
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 has to 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 totalling of marks awarded to an answer. 
? Wrong transfer of marks from the inside pages of the answer book to the title page. 
? Wrong question wise totalling on the title page. 
? Wrong totalling 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 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 un assessed portion, non-carrying over of marks to the title page, or totaling error detected by 
the candidate shall damage the prestige of all the personnel engaged in the evaluation work as also 
of the Board. Hence, in order 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 totalled and written in figures and words. 
18.  The candidates are entitled to obtain 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. 
  
MS_X_Mathematics_041_30/3/1_2024-25    3 
MARKING SCHEME 
MATHEMATICS (Subject Code–041) 
(PAPER CODE: 30/3/1) 
Q. 
No. 
EXPECTED OUTCOMES/VALUE POINTS 
Marks 
SECTION A  
This section has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 
1. 
 
 
Sol. 
(D) 10° 
1 
2. 
 
 
Sol. 
(A) p = 35x 
1 
3. 
 
 
Sol. 
(B) 
1
6
 
1 
4. 
 
 
Sol. 
(C) a - b 
1 
Page 4


MS_X_Mathematics_041_30/3/1_2024-25    1 
 
Marking Scheme 
Strictly Confidential 
(For Internal and Restricted use only) 
Secondary School Examination, 2025 
MATHEMATICS (Standard) (Q.P. CODE 30/3/1) 
General Instructions: - 
1.  You are aware that evaluation is the most important process in the actual and correct assessment of 
the candidates. A small mistake in evaluation may 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. It’s leakage to 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 News Paper/Website etc. may invite action under various rules of the Board 
and IPC.” 
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. 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-X, while evaluating 
the competency-based questions, please try to understand given answer and even if reply is 
not from 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 in the nature of 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 an impression that answer is correct 
and no marks are awarded. This is 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 totalled up and written on the left-hand margin and 
encircled. This may be followed strictly. 
MS_X_Mathematics_041_30/3/1_2024-25    2 
8.  If a question does not have any parts, marks must be awarded on the left-hand margin and encircled. 
This may also be followed strictly. 
9.  If a student has attempted an extra question, answer of 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. 
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 has to 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 totalling of marks awarded to an answer. 
? Wrong transfer of marks from the inside pages of the answer book to the title page. 
? Wrong question wise totalling on the title page. 
? Wrong totalling 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 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 un assessed portion, non-carrying over of marks to the title page, or totaling error detected by 
the candidate shall damage the prestige of all the personnel engaged in the evaluation work as also 
of the Board. Hence, in order 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 totalled and written in figures and words. 
18.  The candidates are entitled to obtain 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. 
  
MS_X_Mathematics_041_30/3/1_2024-25    3 
MARKING SCHEME 
MATHEMATICS (Subject Code–041) 
(PAPER CODE: 30/3/1) 
Q. 
No. 
EXPECTED OUTCOMES/VALUE POINTS 
Marks 
SECTION A  
This section has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 
1. 
 
 
Sol. 
(D) 10° 
1 
2. 
 
 
Sol. 
(A) p = 35x 
1 
3. 
 
 
Sol. 
(B) 
1
6
 
1 
4. 
 
 
Sol. 
(C) a - b 
1 
MS_X_Mathematics_041_30/3/1_2024-25    4 
5. 
 
 
Sol. 
(A) ± 6 
1 
6. 
 
 
Sol. 
(A) (2, 3) 
1 
7. 
 
 
Sol. 
(C) (3, 3) 
1 
8. 
 
 
Sol. 
(B) 50° 
1 
Page 5


MS_X_Mathematics_041_30/3/1_2024-25    1 
 
Marking Scheme 
Strictly Confidential 
(For Internal and Restricted use only) 
Secondary School Examination, 2025 
MATHEMATICS (Standard) (Q.P. CODE 30/3/1) 
General Instructions: - 
1.  You are aware that evaluation is the most important process in the actual and correct assessment of 
the candidates. A small mistake in evaluation may 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. It’s leakage to 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 News Paper/Website etc. may invite action under various rules of the Board 
and IPC.” 
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. 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-X, while evaluating 
the competency-based questions, please try to understand given answer and even if reply is 
not from 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 in the nature of 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 an impression that answer is correct 
and no marks are awarded. This is 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 totalled up and written on the left-hand margin and 
encircled. This may be followed strictly. 
MS_X_Mathematics_041_30/3/1_2024-25    2 
8.  If a question does not have any parts, marks must be awarded on the left-hand margin and encircled. 
This may also be followed strictly. 
9.  If a student has attempted an extra question, answer of 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. 
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 has to 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 totalling of marks awarded to an answer. 
? Wrong transfer of marks from the inside pages of the answer book to the title page. 
? Wrong question wise totalling on the title page. 
? Wrong totalling 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 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 un assessed portion, non-carrying over of marks to the title page, or totaling error detected by 
the candidate shall damage the prestige of all the personnel engaged in the evaluation work as also 
of the Board. Hence, in order 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 totalled and written in figures and words. 
18.  The candidates are entitled to obtain 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. 
  
MS_X_Mathematics_041_30/3/1_2024-25    3 
MARKING SCHEME 
MATHEMATICS (Subject Code–041) 
(PAPER CODE: 30/3/1) 
Q. 
No. 
EXPECTED OUTCOMES/VALUE POINTS 
Marks 
SECTION A  
This section has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 
1. 
 
 
Sol. 
(D) 10° 
1 
2. 
 
 
Sol. 
(A) p = 35x 
1 
3. 
 
 
Sol. 
(B) 
1
6
 
1 
4. 
 
 
Sol. 
(C) a - b 
1 
MS_X_Mathematics_041_30/3/1_2024-25    4 
5. 
 
 
Sol. 
(A) ± 6 
1 
6. 
 
 
Sol. 
(A) (2, 3) 
1 
7. 
 
 
Sol. 
(C) (3, 3) 
1 
8. 
 
 
Sol. 
(B) 50° 
1 
MS_X_Mathematics_041_30/3/1_2024-25    5 
9. 
 
 
Sol. 
(A) cosec ? sec ? 
1 
10. 
 
 
Sol. 
(D) 
DE
PQ
=
EF
RP
 
1 
11. 
 
 
Sol. 
(C) 8 cm 
1 
12. 
 
 
Sol. 
(B) 4:25 
1