CBSE Class 10 > Class 10 Notes > Past Year Papers > Mathematics (Standard) 2024 Compartment Exams Set-2
Mathematics (Standard) 2024 Compartment Exams Set-2
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Page 1
30/S/2 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~2
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(iv)
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí`
{bI| &
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
Bg àíZ-nÌ H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ & àíZ-nÌ H$m {dVaU nydm©• _|
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo &
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 2
Page 2
30/S/2 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~2
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(iv)
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí`
{bI| &
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
Bg àíZ-nÌ H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ & àíZ-nÌ H$m {dVaU nydm©• _|
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo &
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 2
30/S/2 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
Page 3
30/S/2 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~2
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(iv)
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí`
{bI| &
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
Bg àíZ-nÌ H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ & àíZ-nÌ H$m {dVaU nydm©• _|
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo &
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 2
30/S/2 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections – A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type questions,
carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take p =
7
22
wherever required, if not
stated.
(x) Use of calculator is not allowed.
SECTION A
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20 ´ 1=20
1. If k + 7, 2k – 2 and 2k + 6 are three consecutive terms of an A.P., then the value
of k is :
(A) 15 (B) 17
(C) 5 (D) 1
2. The point on x-axis which is equidistant from the points (5, – 3) and (4, 2) is :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. The value of ‘p’ for which the pair of linear equations (3p + 5)x + 2y – 7 = 0 and
10x – 2y + 7 = 0 has infinitely many solutions is :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
Page 4
30/S/2 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~2
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(iv)
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí`
{bI| &
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
Bg àíZ-nÌ H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ & àíZ-nÌ H$m {dVaU nydm©• _|
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo &
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 2
30/S/2 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections – A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type questions,
carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take p =
7
22
wherever required, if not
stated.
(x) Use of calculator is not allowed.
SECTION A
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20 ´ 1=20
1. If k + 7, 2k – 2 and 2k + 6 are three consecutive terms of an A.P., then the value
of k is :
(A) 15 (B) 17
(C) 5 (D) 1
2. The point on x-axis which is equidistant from the points (5, – 3) and (4, 2) is :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. The value of ‘p’ for which the pair of linear equations (3p + 5)x + 2y – 7 = 0 and
10x – 2y + 7 = 0 has infinitely many solutions is :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 Page 4
4. ? ?? ?? ? ?? ? , ? O ?? ?? ?? ?? PA ?? PB ? ? -? ??? ?? ?? ? ?? ?? ?
? ?? 5 cm ?? ? ?? Ð APB = 60 ° ??, ?? PA ?
?? ?? :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
5. ? ??? ? ? ?? ? ? m ?? n ?? m = p
5
q
2
??? n = p
3
q
4
, ???? p
?? q ??? ?
???? ? ,
??? ? ? ???? ??? ?? ? m ?? n ?? LCM ?? :
(A) p
8
q
6
(B) p
3
q
2
(C) p
5
q
4
(D) p
5
q
2
+ p
3
q
4
6. ?? ? ?? ? , D ABC ? ? ?????
AB ??? AC ?? ? ?
? X ?? Y ? : ? ? ? ? , ??
AX = 3.4 cm, AB = 8.5 cm, AY = 2.6 cm ?? YC = 3.9 cm ? ?? ? ? ? ? ?
???- ?
? ?? ?? ?
(A) BC = 2XY (B) 3BC = 2XY
(C) BC, XY ? ??
?? ?? ? (D) BC y XY
Page 5
30/S/2 Page 1 P.T.O.
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$
_wI-n¥ð >na Adí` {bIo§ &
Candidates must write the Q.P. Code on
the title page of the answer-book.
Series
#CD BA / S
SET~2
àíZ-nÌ H$moS>
amob Z§.
Q.P. Code
Roll No.
ZmoQ> / NOTE :
(i)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 27 h¢ &
Please check that this question paper contains 27 printed pages.
(ii)
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ &
Please check that this question paper contains 38 questions.
(iii)
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na
{bI| &
Q.P. Code given on the right hand side of the question paper should be written on the
title page of the answer-book by the candidate.
(iv)
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí`
{bI| &
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
Bg àíZ-nÌ H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ & àíZ-nÌ H$m {dVaU nydm©• _|
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo &
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this
period.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
{ZYm©[aV g_` : 3 KÊQ>o A{YH$V_ A§H$ : 80
Time allowed : 3 hours Maximum Marks : 80
3 0 / S / 2
30/S/2 Page 2
???? ???? ? ??:
? ? ? ? ?? ????? ? ?? ?? ? ?? ? ? ? ? ?? ?? ??? :
(i) ?? -? ? 38 ? ? ???? ?? ??? ? ?
(ii) ?? -? ?? ? ? ? ?? ???? ?? – ?,??,??,?? ??
? ? ?
(iii) ? ???? ? ?
? ?? 1??? 18 ?? ?? ??? (MCQ) ?? ?
? ?? 19???
? 20 ??? ? ??
?
??? ? 1 ?
? ? ? ?
(iv) ? ???? ? ?
? ?? 21??? 25 ?? ? -? ??? (VSA) ?? ? 2 ?
? ? ? ?
(v) ? ???? ? ?
? ?? 26??? 31 ? -? ??? (SA) ?? ? 3 ?
? ? ? ?
(vi) ? ???? ? ?
? ?? 32??? 35 ?? -? ??? (LA) ?? ? 5 ?
? ? ? ?
(vii) ? ???? ? ?
? ?? 36??? 38 ?? ? ? ? ??? ? 4 ?
? ? ? ? ?? ??
? ? ? ? ?
? ? ?? ? 2 ?
? ? ? ? ?? ??? ?? ?
(viii) -? ? ?? ?? ? ? ? ?? ??? ?? ? ? ?? ,? ? ? ? ?2? ? ,? ? ?? ? ?2? ? ,??? ????
? ?2? ? ?? ? ? ?3? ? ?
? ? ?? ? ? ???? ? ?? ??? ?? ?
(ix) ??? ?? ? ? ? ? ? ?? ?? ? ??? ? ??? ?? ? ? p =
7
22
??? ?, ?? ? ? ?? ? ??
??? ? ?
(x) ? ? ? ? ??? ? ??? ???? ?
? ? ? ??
?? ? ? ? ? ?? ??? (MCQ) ? , ?? ? ?? ?
? ? ?? ? 20 ´1=20
1. ?? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ??? ???? ? ? , ?? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
2. x-? ?? ?? ?
? , ?? ?
? ?
(5, – 3) ?? (4, 2) ?? ???
? ?? ?? ??, ?? :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. ‘p’ ?? ?? ??? ?? ? ? ? ??? ? ???? ? ?? ? (3p + 5)x + 2y – 7 = 0 ??
10x – 2y + 7 = 0 ? ?? ? ?? ? ? ?? ? ? ? , ?? :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections – A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type questions,
carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take p =
7
22
wherever required, if not
stated.
(x) Use of calculator is not allowed.
SECTION A
This section comprises Multiple Choice Questions (MCQs) of 1 mark each. 20 ´ 1=20
1. If k + 7, 2k – 2 and 2k + 6 are three consecutive terms of an A.P., then the value
of k is :
(A) 15 (B) 17
(C) 5 (D) 1
2. The point on x-axis which is equidistant from the points (5, – 3) and (4, 2) is :
(A) (4.5, 0) (B) (7, 0)
(C) (0.5, 0) (D) (– 7, 0)
3. The value of ‘p’ for which the pair of linear equations (3p + 5)x + 2y – 7 = 0 and
10x – 2y + 7 = 0 has infinitely many solutions is :
(A) – 5 (B) 5
(C)
3
5
(D)
5
3
30/S/2 Page 4
4. ? ?? ?? ? ?? ? , ? O ?? ?? ?? ?? PA ?? PB ? ? -? ??? ?? ?? ? ?? ?? ?
? ?? 5 cm ?? ? ?? Ð APB = 60 ° ??, ?? PA ?
?? ?? :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
5. ? ??? ? ? ?? ? ? m ?? n ?? m = p
5
q
2
??? n = p
3
q
4
, ???? p
?? q ??? ?
???? ? ,
??? ? ? ???? ??? ?? ? m ?? n ?? LCM ?? :
(A) p
8
q
6
(B) p
3
q
2
(C) p
5
q
4
(D) p
5
q
2
+ p
3
q
4
6. ?? ? ?? ? , D ABC ? ? ?????
AB ??? AC ?? ? ?
? X ?? Y ? : ? ? ? ? , ??
AX = 3.4 cm, AB = 8.5 cm, AY = 2.6 cm ?? YC = 3.9 cm ? ?? ? ? ? ? ?
???- ?
? ?? ?? ?
(A) BC = 2XY (B) 3BC = 2XY
(C) BC, XY ? ??
?? ?? ? (D) BC y XY
30/S/2 Page 5 P.T.O.
4. In the given figure, PA and PB are two tangents drawn to the circle with centre O
and radius 5 cm. If Ð APB = 60 °, then the length of PA is :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
5. Two positive integers m and n are expressed as m = p
5
q
2
and n = p
3
q
4
, where p
and q are prime numbers. The LCM of m and n is :
(A) p
8
q
6
(B) p
3
q
2
(C) p
5
q
4
(D) p
5
q
2
+ p
3
q
4
6. In the figure, X and Y are two points on the sides AB and AC respectively in
D ABC, such that AX = 3.4 cm, AB = 8.5 cm, AY = 2.6 cm and YC = 3.9 cm.
Which of the following relation is correct ?
(A) BC = 2XY (B) 3BC = 2XY
(C) BC is not parallel to XY (D) BC y XY
Read MoreFAQs on Mathematics (Standard) 2024 Compartment Exams Set-2
| 1. What are the most important formulas and theorems I need to memorise for CBSE Class 10 maths compartment exams? |  |
Ans. CBSE Class 10 mathematics compartment exams emphasise algebraic identities, quadratic equations, trigonometric ratios, circle theorems, and surface area-volume formulas. Students should prioritise Pythagoras' theorem, similarity conditions (AA, SSS, SAS), arithmetic progression formulas, and probability fundamentals. Refer to mind maps and flashcards on EduRev to consolidate these essential formulas systematically before revision.
| 2. How do I solve coordinate geometry and linear equations problems that commonly appear in past year compartment papers? | |
Ans. Coordinate geometry compartment questions typically involve finding distances between points, slopes of lines, and equation of straight lines using two-point form or slope-intercept form. Linear equations require understanding simultaneous equations and graphical representations. Practice previous year questions repeatedly, focusing on the algebraic manipulation of line equations and distance formula applications to build problem-solving speed.
| 3. What's the difference between standard and basic maths papers for Class 10 compartment exams, and which one should I choose? | |
Ans. Standard mathematics includes advanced trigonometry, calculus concepts, and complex geometry problems, while basic mathematics focuses on fundamental arithmetic, simpler algebraic operations, and practical applications. Standard suits students pursuing science streams; basic suits commerce or vocational paths. The compartment exam difficulty directly reflects your chosen paper type, so align your selection with your career direction.
| 4. Why do I keep making mistakes in trigonometry problems from compartment exam papers, and how can I improve? | |
Ans. Common trigonometry errors include confusing sine, cosine, and tangent ratios, misapplying complementary angle relationships, and computational mistakes with specific angles (30°, 45°, 60°). Students often forget that trigonometric ratios depend on triangle orientation. Master standard angle values using flashcards, practice reciprocal relationships consistently, and solve compartment papers with careful attention to angle identification before calculation.
| 5. How should I approach surface area and volume questions in CBSE compartment mathematics to avoid losing marks? | |
Ans. Surface area and volume questions require identifying composite solid shapes, applying correct formulas for cylinders, cones, spheres, and hemispheres, and handling unit conversions carefully. Compartment papers frequently combine multiple shapes requiring separate calculations. Write formulas explicitly before substituting values, draw diagrams to visualise problems, and verify answers by checking dimensional consistency throughout your solution process.
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