Mathematics (Standard) 2023 Compartment Exams Set-3 | Past Year Papers for Class 10 PDF Download

 Page 1


30/C/3  JJJJ 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 
W X 1 Y Z/ C 
 S E T ~ 3 
     
   
 
 
Q.P. Code  
Roll No. 
 
 
 
J{UV (_mZH$) 
MATHEMATICS (STANDARD) 
* 
: 3 : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
 ZmoQ> / N O T E : 
(i) 
- 23
 Please check that this question paper contains 23 printed pages. 
(ii) 
- - -
-
 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. 
(iii) 
- 38 
 Please check that this question paper contains 38 questions.  
(iv) 
-
 Please write down the serial number of the question in the answer-book before 
attempting it. 
(v) 
- 15 -
10.15 10.15 10.30 -
-
 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. 
30/C/3
 
^ 
Page 2


30/C/3  JJJJ 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 
W X 1 Y Z/ C 
 S E T ~ 3 
     
   
 
 
Q.P. Code  
Roll No. 
 
 
 
J{UV (_mZH$) 
MATHEMATICS (STANDARD) 
* 
: 3 : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
 ZmoQ> / N O T E : 
(i) 
- 23
 Please check that this question paper contains 23 printed pages. 
(ii) 
- - -
-
 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. 
(iii) 
- 38 
 Please check that this question paper contains 38 questions.  
(iv) 
-
 Please write down the serial number of the question in the answer-book before 
attempting it. 
(v) 
- 15 -
10.15 10.15 10.30 -
-
 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. 
30/C/3
 
^ 30/C/3  JJJJ Page 2 
:
: 
(i) 38 
(ii)   
(iii) 1 18 (MCQ) 19 20 
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38  
(viii) 2 2 
2 3 
(ix)  = 
7
22
 
(x) 
IÊS> H$ 
(MCQ) 1 
1. k H$m/Ho$ _mZ {OgHo$/{OZHo$ {bE g_rH$aU 2x
2
  kx + 1 = 0 Ho$ _yb dmñV{dH$ Am¡a 
~am~a h¢, h¡/h¢ :    
(a) 2 2  (b)  2 2 
(c)  2 2 (d) 2 
2. AmboIr` ê$n go, a¡{IH$ g_rH$aU `w½_ 3x  y + 8 = 0 Am¡a 3x  y = 24, Xmo Eogr 
aoImAm| H$mo {Zê${nV H$aVm h¡, Omo :   
(a) EH$ Xÿgao H$mo R>rH$ EH$ {~ÝXþ na H$mQ>Vr h¢    
(b) EH$ Xÿgao H$mo R>rH$ Xmo {~ÝXþAm| na H$mQ>Vr h¢  
(c) g§nmVr h¢    
(d) g_m§Va h¢  
Page 3


30/C/3  JJJJ 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 
W X 1 Y Z/ C 
 S E T ~ 3 
     
   
 
 
Q.P. Code  
Roll No. 
 
 
 
J{UV (_mZH$) 
MATHEMATICS (STANDARD) 
* 
: 3 : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
 ZmoQ> / N O T E : 
(i) 
- 23
 Please check that this question paper contains 23 printed pages. 
(ii) 
- - -
-
 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. 
(iii) 
- 38 
 Please check that this question paper contains 38 questions.  
(iv) 
-
 Please write down the serial number of the question in the answer-book before 
attempting it. 
(v) 
- 15 -
10.15 10.15 10.30 -
-
 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. 
30/C/3
 
^ 30/C/3  JJJJ Page 2 
:
: 
(i) 38 
(ii)   
(iii) 1 18 (MCQ) 19 20 
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38  
(viii) 2 2 
2 3 
(ix)  = 
7
22
 
(x) 
IÊS> H$ 
(MCQ) 1 
1. k H$m/Ho$ _mZ {OgHo$/{OZHo$ {bE g_rH$aU 2x
2
  kx + 1 = 0 Ho$ _yb dmñV{dH$ Am¡a 
~am~a h¢, h¡/h¢ :    
(a) 2 2  (b)  2 2 
(c)  2 2 (d) 2 
2. AmboIr` ê$n go, a¡{IH$ g_rH$aU `w½_ 3x  y + 8 = 0 Am¡a 3x  y = 24, Xmo Eogr 
aoImAm| H$mo {Zê${nV H$aVm h¡, Omo :   
(a) EH$ Xÿgao H$mo R>rH$ EH$ {~ÝXþ na H$mQ>Vr h¢    
(b) EH$ Xÿgao H$mo R>rH$ Xmo {~ÝXþAm| na H$mQ>Vr h¢  
(c) g§nmVr h¢    
(d) g_m§Va h¢  
30/C/3  JJJJ 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  = 
7
22
 wherever required, if not 
stated.   
(x) Use of calculators is not allowed.   
SECTION A 
This section comprises multiple choice questions (MCQs) of 1 mark each.  
1. The value(s) of k for which the equation 2x
2
  kx + 1 = 0 has real and 
equal roots is/are :    
(a) 2 2  (b)  2 2 
(c)  2 2 (d) 2 
2. Graphically, the pair of linear equations 3x  y + 8 = 0 and 3x  y = 24 
represents two lines which are :      
(a) intersecting exactly at one point 
(b) intersecting exactly at two points  
(c) coincident 
(d) parallel 
Page 4


30/C/3  JJJJ 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 
W X 1 Y Z/ C 
 S E T ~ 3 
     
   
 
 
Q.P. Code  
Roll No. 
 
 
 
J{UV (_mZH$) 
MATHEMATICS (STANDARD) 
* 
: 3 : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
 ZmoQ> / N O T E : 
(i) 
- 23
 Please check that this question paper contains 23 printed pages. 
(ii) 
- - -
-
 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. 
(iii) 
- 38 
 Please check that this question paper contains 38 questions.  
(iv) 
-
 Please write down the serial number of the question in the answer-book before 
attempting it. 
(v) 
- 15 -
10.15 10.15 10.30 -
-
 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. 
30/C/3
 
^ 30/C/3  JJJJ Page 2 
:
: 
(i) 38 
(ii)   
(iii) 1 18 (MCQ) 19 20 
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38  
(viii) 2 2 
2 3 
(ix)  = 
7
22
 
(x) 
IÊS> H$ 
(MCQ) 1 
1. k H$m/Ho$ _mZ {OgHo$/{OZHo$ {bE g_rH$aU 2x
2
  kx + 1 = 0 Ho$ _yb dmñV{dH$ Am¡a 
~am~a h¢, h¡/h¢ :    
(a) 2 2  (b)  2 2 
(c)  2 2 (d) 2 
2. AmboIr` ê$n go, a¡{IH$ g_rH$aU `w½_ 3x  y + 8 = 0 Am¡a 3x  y = 24, Xmo Eogr 
aoImAm| H$mo {Zê${nV H$aVm h¡, Omo :   
(a) EH$ Xÿgao H$mo R>rH$ EH$ {~ÝXþ na H$mQ>Vr h¢    
(b) EH$ Xÿgao H$mo R>rH$ Xmo {~ÝXþAm| na H$mQ>Vr h¢  
(c) g§nmVr h¢    
(d) g_m§Va h¢  
30/C/3  JJJJ Page 3 P.T.O.   
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper contains 38 questions. All questions are compulsory.  
(ii) This question paper is divided into five Sections  A, B, C, D and E.  
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and 
questions number 19 and 20 are Assertion-Reason based questions of 1 mark 
each.  
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type 
questions, carrying 2 marks each.  
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions, 
carrying 3 marks each. 
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions 
carrying 5 marks each.  
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying  
4 marks each. Internal choice is provided in 2 marks questions in each  
case-study. 
(viii) There is no overall choice. However, an internal choice has been provided in  
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 
3 questions in Section E. 
(ix) Draw neat diagrams wherever required. Take  = 
7
22
 wherever required, if not 
stated.   
(x) Use of calculators is not allowed.   
SECTION A 
This section comprises multiple choice questions (MCQs) of 1 mark each.  
1. The value(s) of k for which the equation 2x
2
  kx + 1 = 0 has real and 
equal roots is/are :    
(a) 2 2  (b)  2 2 
(c)  2 2 (d) 2 
2. Graphically, the pair of linear equations 3x  y + 8 = 0 and 3x  y = 24 
represents two lines which are :      
(a) intersecting exactly at one point 
(b) intersecting exactly at two points  
(c) coincident 
(d) parallel 
30/C/3  JJJJ Page 4 
3. AmZw^{dH$ g§~§Y H$m Cn`moJ H$aZo na EH$ ~§Q>Z, {OgH$m _mÜ` 7·2 Am¡a _mÜ`H$ 7·1 h¡, 
H$m ~hþbH$ hmoJm : 
(a) 6·2 (b) 6·3 
(c) 6·5 (d) 6·9 
4. ~hþnX 3x
2
 + 11x  4  Ho$ eyÝ`H$ h¢ :   
(a) 
2
1
,  4 (b) 
4
1
,  3 
(c) 
3
1
,  4 (d) 
3
1
, 4 
5. {~ÝXþ (4, 7) H$s x-Aj go Xÿar h¡ :  
(a) 7 BH$mB©  (b) 5 BH$mB© 
(c) 4 BH$mB© (d) 10 BH$mB© 
6. `{X  x + 1,  3x  VWm  4x + 2 EH$  A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ : 
(a) 2 (b) 3 
(c) 4 (d) 5 
7. (sec
2
   1) (1  cosec
2
 ) ~am~a h¡ :    
(a) 1 (b)  1 
(c) 2  (d)  2  
8. EH$ n[adma _| H$_-go- :   
(a) 
2
1
 (b) 
5
2
 
(c) 
4
3
 (d) 
4
1
 
Page 5


30/C/3  JJJJ 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 
W X 1 Y Z/ C 
 S E T ~ 3 
     
   
 
 
Q.P. Code  
Roll No. 
 
 
 
J{UV (_mZH$) 
MATHEMATICS (STANDARD) 
* 
: 3 : 80 
Time allowed : 3 hours Maximum Marks : 80 
 
 ZmoQ> / N O T E : 
(i) 
- 23
 Please check that this question paper contains 23 printed pages. 
(ii) 
- - -
-
 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. 
(iii) 
- 38 
 Please check that this question paper contains 38 questions.  
(iv) 
-
 Please write down the serial number of the question in the answer-book before 
attempting it. 
(v) 
- 15 -
10.15 10.15 10.30 -
-
 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. 
30/C/3
 
^ 30/C/3  JJJJ Page 2 
:
: 
(i) 38 
(ii)   
(iii) 1 18 (MCQ) 19 20 
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38  
(viii) 2 2 
2 3 
(ix)  = 
7
22
 
(x) 
IÊS> H$ 
(MCQ) 1 
1. k H$m/Ho$ _mZ {OgHo$/{OZHo$ {bE g_rH$aU 2x
2
  kx + 1 = 0 Ho$ _yb dmñV{dH$ Am¡a 
~am~a h¢, h¡/h¢ :    
(a) 2 2  (b)  2 2 
(c)  2 2 (d) 2 
2. AmboIr` ê$n go, a¡{IH$ g_rH$aU `w½_ 3x  y + 8 = 0 Am¡a 3x  y = 24, Xmo Eogr 
aoImAm| H$mo {Zê${nV H$aVm h¡, Omo :   
(a) EH$ Xÿgao H$mo R>rH$ EH$ {~ÝXþ na H$mQ>Vr h¢    
(b) EH$ Xÿgao H$mo R>rH$ Xmo {~ÝXþAm| na H$mQ>Vr h¢  
(c) g§nmVr h¢    
(d) g_m§Va h¢  
30/C/3  JJJJ Page 3 P.T.O.   
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper contains 38 questions. All questions are compulsory.  
(ii) This question paper is divided into five Sections  A, B, C, D and E.  
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and 
questions number 19 and 20 are Assertion-Reason based questions of 1 mark 
each.  
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type 
questions, carrying 2 marks each.  
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions, 
carrying 3 marks each. 
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions 
carrying 5 marks each.  
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying  
4 marks each. Internal choice is provided in 2 marks questions in each  
case-study. 
(viii) There is no overall choice. However, an internal choice has been provided in  
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 
3 questions in Section E. 
(ix) Draw neat diagrams wherever required. Take  = 
7
22
 wherever required, if not 
stated.   
(x) Use of calculators is not allowed.   
SECTION A 
This section comprises multiple choice questions (MCQs) of 1 mark each.  
1. The value(s) of k for which the equation 2x
2
  kx + 1 = 0 has real and 
equal roots is/are :    
(a) 2 2  (b)  2 2 
(c)  2 2 (d) 2 
2. Graphically, the pair of linear equations 3x  y + 8 = 0 and 3x  y = 24 
represents two lines which are :      
(a) intersecting exactly at one point 
(b) intersecting exactly at two points  
(c) coincident 
(d) parallel 
30/C/3  JJJJ Page 4 
3. AmZw^{dH$ g§~§Y H$m Cn`moJ H$aZo na EH$ ~§Q>Z, {OgH$m _mÜ` 7·2 Am¡a _mÜ`H$ 7·1 h¡, 
H$m ~hþbH$ hmoJm : 
(a) 6·2 (b) 6·3 
(c) 6·5 (d) 6·9 
4. ~hþnX 3x
2
 + 11x  4  Ho$ eyÝ`H$ h¢ :   
(a) 
2
1
,  4 (b) 
4
1
,  3 
(c) 
3
1
,  4 (d) 
3
1
, 4 
5. {~ÝXþ (4, 7) H$s x-Aj go Xÿar h¡ :  
(a) 7 BH$mB©  (b) 5 BH$mB© 
(c) 4 BH$mB© (d) 10 BH$mB© 
6. `{X  x + 1,  3x  VWm  4x + 2 EH$  A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ : 
(a) 2 (b) 3 
(c) 4 (d) 5 
7. (sec
2
   1) (1  cosec
2
 ) ~am~a h¡ :    
(a) 1 (b)  1 
(c) 2  (d)  2  
8. EH$ n[adma _| H$_-go- :   
(a) 
2
1
 (b) 
5
2
 
(c) 
4
3
 (d) 
4
1
 
30/C/3  JJJJ Page 5 P.T.O.   
3. Using empirical relationship, the mode of a distribution whose mean is 
7·2 and the median 7·1, is :   
(a) 6·2 (b) 6·3 
(c) 6·5 (d) 6·9 
4. The zeroes of the polynomial 3x
2
 + 11x  4 are :  
(a) 
2
1
,  4 (b) 
4
1
,  3 
(c) 
3
1
,  4 (d) 
3
1
, 4 
5. The distance of the point (4, 7) from the x-axis is :   
(a) 7 units  (b) 5 units 
(c) 4 units (d) 10 units 
6. If  x + 1,  3x  and  4x + 2  are three consecutive terms of an  A.P., then the 
value of x is :    
(a) 2 (b) 3 
(c) 4 (d) 5 
7. (sec
2
   1) (1  cosec
2
 ) is equal to :    
(a) 1 (b)  1 
(c) 2  (d)  2 
8. In a family of two children, the probability of having at least one girl is :   
(a) 
2
1
 (b) 
5
2
 
(c) 
4
3
 (d) 
4
1