Class 10 Exam > Class 10 Notes > Past Year Papers for Class 10 > Mathematics (Standard) 2024 Compartment Exams Set-1
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Page 1
30/S/1 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~1
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 / 1
Page 2
30/S/1 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~1
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 / 1
30/S/1 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. ? x = 5, ? ? ????? 2x
2
+ (k – 1)x + 10 = 0 ?? ?? ?? ??, ? k ?? ??? ?? :
(A) 11 (B) – 11
(C) 13 (D) – 13
2. ? ??? ? ? ? ? ? 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
Page 3
30/S/1 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~1
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 / 1
30/S/1 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. ? x = 5, ? ? ????? 2x
2
+ (k – 1)x + 10 = 0 ?? ?? ?? ??, ? k ?? ??? ?? :
(A) 11 (B) – 11
(C) 13 (D) – 13
2. ? ??? ? ? ? ? ? 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
30/S/1 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 x = 5 is a solution of the quadratic equation 2x
2
+ (k – 1)x + 10 = 0, then the
value of k is :
(A) 11 (B) – 11
(C) 13 (D) – 13
2. 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
Page 4
30/S/1 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~1
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 / 1
30/S/1 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. ? x = 5, ? ? ????? 2x
2
+ (k – 1)x + 10 = 0 ?? ?? ?? ??, ? k ?? ??? ?? :
(A) 11 (B) – 11
(C) 13 (D) – 13
2. ? ??? ? ? ? ? ? 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
30/S/1 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 x = 5 is a solution of the quadratic equation 2x
2
+ (k – 1)x + 10 = 0, then the
value of k is :
(A) 11 (B) – 11
(C) 13 (D) – 13
2. 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
30/S/1 Page 4
3. ????? ? ? x = 2a ?? y = 3b (a, b ¹ 0) ?? ?? ?? ? ??? ?? ??
? ?? ?? ?? ?? ? ??, ??
(A) ?
??? ? ? (B) ???
? ? ?
(C) (2a, 3b) ?? ? ?? ? ? (D) (3b, 2a) ?? ? ?? ? ?
4. ? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ? ?? ??? ? ? , ? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
5. ? ?? ?? ? ? ? , ? O ???? ?? ?? ?? PA ?? PB ? ? -?? ?? ?? ?? ? ?? ?? ?
? ? 5 cm ?? ? Ð APB = 60 ° ??, ? PA ? ?
???? ?? :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
6. ? ?? ?? ? ? ? , ? D OPS ? ?????
? OP ?? OS ?? ? : ??
? M ?? N ?? ???
? ? ? ?? MN y PS ??, ? OP ? ?
???? ?? :
(A) 6.8 cm (B) 17 cm
(C) 15.3 cm (D) 9.6 cm
Page 5
30/S/1 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~1
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 / 1
30/S/1 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. ? x = 5, ? ? ????? 2x
2
+ (k – 1)x + 10 = 0 ?? ?? ?? ??, ? k ?? ??? ?? :
(A) 11 (B) – 11
(C) 13 (D) – 13
2. ? ??? ? ? ? ? ? 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
30/S/1 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 x = 5 is a solution of the quadratic equation 2x
2
+ (k – 1)x + 10 = 0, then the
value of k is :
(A) 11 (B) – 11
(C) 13 (D) – 13
2. 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
30/S/1 Page 4
3. ????? ? ? x = 2a ?? y = 3b (a, b ¹ 0) ?? ?? ?? ? ??? ?? ??
? ?? ?? ?? ?? ? ??, ??
(A) ?
??? ? ? (B) ???
? ? ?
(C) (2a, 3b) ?? ? ?? ? ? (D) (3b, 2a) ?? ? ?? ? ?
4. ? k + 7, 2k – 2 ?? 2k + 6 ?? A.P. ? ? ?? ??? ? ? , ? k ?? ??? ?? :
(A) 15 (B) 17
(C) 5 (D) 1
5. ? ?? ?? ? ? ? , ? O ???? ?? ?? ?? PA ?? PB ? ? -?? ?? ?? ?? ? ?? ?? ?
? ? 5 cm ?? ? Ð APB = 60 ° ??, ? PA ? ?
???? ?? :
(A)
3
5
cm (B) 5 3 cm
(C)
3
10
cm (D) 10 cm
6. ? ?? ?? ? ? ? , ? D OPS ? ?????
? OP ?? OS ?? ? : ??
? M ?? N ?? ???
? ? ? ?? MN y PS ??, ? OP ? ?
???? ?? :
(A) 6.8 cm (B) 17 cm
(C) 15.3 cm (D) 9.6 cm
30/S/1 Page 5 P.T.O.
3. The pair of equations x = 2a and y = 3b (a, b ¹ 0) graphically represents straight
lines which are :
(A) coincident (B) parallel
(C) intersecting at (2a, 3b) (D) intersecting at (3b, 2a)
4. 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
5. 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
6. In the given figure, if M and N are points on the sides OP and OS respectively of
D OPS, such that MN y PS, then the length of OP is :
(A) 6.8 cm (B) 17 cm
(C) 15.3 cm (D) 9.6 cm
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