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.430/3/3 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 PPQQB/3  SET ~3 
  àíZ-nÌ H$moS>  
   
 
 
Q.P. Code 
amob Z§. 
Roll No. 
 
 
 
 NOTE 
(I) 
11
(I) Please check that this question paper 
contains 11 printed pages. 
(II) (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) 
14 
(III) Please check that this question paper 
contains 14 questions. 
(IV) (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 
(V) 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 (~w{Z`mXr)  
MATHEMATICS (BASIC) 
: 2 : 40 
Time allowed : 2 hours Maximum Marks : 40 
 
430/3/3
 
Page 2


.430/3/3 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 PPQQB/3  SET ~3 
  àíZ-nÌ H$moS>  
   
 
 
Q.P. Code 
amob Z§. 
Roll No. 
 
 
 
 NOTE 
(I) 
11
(I) Please check that this question paper 
contains 11 printed pages. 
(II) (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) 
14 
(III) Please check that this question paper 
contains 14 questions. 
(IV) (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 
(V) 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 (~w{Z`mXr)  
MATHEMATICS (BASIC) 
: 2 : 40 
Time allowed : 2 hours Maximum Marks : 40 
 
430/3/3
 
.430/3/3 2 
: 
: 
(i) 14
(ii) 
(iii) 6 1 6 2
(iv) 4 7 10 3
(v) 4 11 14 4
(vi) 
IÊS>> H$ 
1 6 2 
1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 
100  110 110  120 120  130 130  140 140  150 
5 9 8 11 7 
2.  24 VWm 11dm± nX 21 8dm± nX kmV 
H$s{OE & 2 
3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X  
 APB = 70 h¡, Vmo  AQB H$s _mn kmV H$s{OE & 2 
 
1 
4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px
2
 + 2x + p = 0 Ho$ _yb dmñV{dH$ 
VWm ~am~a hm|Jo ? 2 
                      AWdm 
(I) {ÛKmV g_rH$aU 6  x  x
2
 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 
5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| 
Ho$ `moJ\ 2 
70 
Page 3


.430/3/3 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 PPQQB/3  SET ~3 
  àíZ-nÌ H$moS>  
   
 
 
Q.P. Code 
amob Z§. 
Roll No. 
 
 
 
 NOTE 
(I) 
11
(I) Please check that this question paper 
contains 11 printed pages. 
(II) (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) 
14 
(III) Please check that this question paper 
contains 14 questions. 
(IV) (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 
(V) 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 (~w{Z`mXr)  
MATHEMATICS (BASIC) 
: 2 : 40 
Time allowed : 2 hours Maximum Marks : 40 
 
430/3/3
 
.430/3/3 2 
: 
: 
(i) 14
(ii) 
(iii) 6 1 6 2
(iv) 4 7 10 3
(v) 4 11 14 4
(vi) 
IÊS>> H$ 
1 6 2 
1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 
100  110 110  120 120  130 130  140 140  150 
5 9 8 11 7 
2.  24 VWm 11dm± nX 21 8dm± nX kmV 
H$s{OE & 2 
3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X  
 APB = 70 h¡, Vmo  AQB H$s _mn kmV H$s{OE & 2 
 
1 
4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px
2
 + 2x + p = 0 Ho$ _yb dmñV{dH$ 
VWm ~am~a hm|Jo ? 2 
                      AWdm 
(I) {ÛKmV g_rH$aU 6  x  x
2
 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 
5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| 
Ho$ `moJ\ 2 
70 
.430/3/3 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them :  
(i) This question paper contains 14 questions. All questions are compulsory.  
(ii) This question paper is divided into three sections  Sections A, B and C.  
(iii) Section A comprises of 6 questions (Q.no. 1 to 6) of 2 marks each. Internal 
choice has been provided in two questions.   
(iv) Section B comprises of 4 questions (Q.no. 7 to 10) of 3 marks each. Internal 
choice has been provided in one question.   
(v) Section C comprises of 4 questions (Q.no. 11 to 14) of 4 marks each. Internal 
choice has been provided in one question. It also contains two case study based 
questions.  
(vi) Use of calculator is not permitted. 
SECTION A 
Question numbers 1 to 6 carry 2 marks each. 
1. Find mode of the following frequency distribution : 2 
 Class 100  110 110  120 120  130 130  140 140  150 
Frequency 5 9 8 11 7 
2. Find the 8
th
 term of an AP whose first term is  24 and 11
th
 term is 21. 2 
3. In Figure 1, PA and PB are tangents to the circle with centre at O. If 
 APB = 70 , then find m  AQB. 2 
 
Figure 1 
4. (a) For what value of p, does the quadratic equation px
2
 + 2x + p = 0 
have real and equal roots ? 2 
 OR 
(b) Solve the quadratic equation for x :   6  x  x
2
 = 0 2 
5. For an AP with common difference 6, the sum of first ten terms is same as 
four times the sum of first five terms. Determine the first term of the AP. 2 
70 
Page 4


.430/3/3 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 PPQQB/3  SET ~3 
  àíZ-nÌ H$moS>  
   
 
 
Q.P. Code 
amob Z§. 
Roll No. 
 
 
 
 NOTE 
(I) 
11
(I) Please check that this question paper 
contains 11 printed pages. 
(II) (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) 
14 
(III) Please check that this question paper 
contains 14 questions. 
(IV) (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 
(V) 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 (~w{Z`mXr)  
MATHEMATICS (BASIC) 
: 2 : 40 
Time allowed : 2 hours Maximum Marks : 40 
 
430/3/3
 
.430/3/3 2 
: 
: 
(i) 14
(ii) 
(iii) 6 1 6 2
(iv) 4 7 10 3
(v) 4 11 14 4
(vi) 
IÊS>> H$ 
1 6 2 
1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 
100  110 110  120 120  130 130  140 140  150 
5 9 8 11 7 
2.  24 VWm 11dm± nX 21 8dm± nX kmV 
H$s{OE & 2 
3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X  
 APB = 70 h¡, Vmo  AQB H$s _mn kmV H$s{OE & 2 
 
1 
4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px
2
 + 2x + p = 0 Ho$ _yb dmñV{dH$ 
VWm ~am~a hm|Jo ? 2 
                      AWdm 
(I) {ÛKmV g_rH$aU 6  x  x
2
 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 
5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| 
Ho$ `moJ\ 2 
70 
.430/3/3 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them :  
(i) This question paper contains 14 questions. All questions are compulsory.  
(ii) This question paper is divided into three sections  Sections A, B and C.  
(iii) Section A comprises of 6 questions (Q.no. 1 to 6) of 2 marks each. Internal 
choice has been provided in two questions.   
(iv) Section B comprises of 4 questions (Q.no. 7 to 10) of 3 marks each. Internal 
choice has been provided in one question.   
(v) Section C comprises of 4 questions (Q.no. 11 to 14) of 4 marks each. Internal 
choice has been provided in one question. It also contains two case study based 
questions.  
(vi) Use of calculator is not permitted. 
SECTION A 
Question numbers 1 to 6 carry 2 marks each. 
1. Find mode of the following frequency distribution : 2 
 Class 100  110 110  120 120  130 130  140 140  150 
Frequency 5 9 8 11 7 
2. Find the 8
th
 term of an AP whose first term is  24 and 11
th
 term is 21. 2 
3. In Figure 1, PA and PB are tangents to the circle with centre at O. If 
 APB = 70 , then find m  AQB. 2 
 
Figure 1 
4. (a) For what value of p, does the quadratic equation px
2
 + 2x + p = 0 
have real and equal roots ? 2 
 OR 
(b) Solve the quadratic equation for x :   6  x  x
2
 = 0 2 
5. For an AP with common difference 6, the sum of first ten terms is same as 
four times the sum of first five terms. Determine the first term of the AP. 2 
70 
.430/3/3 4 
6. (H$) AmH¥${V 2 _| {XImE AZwgma, 7 go_r ^wOm dmbo EH$ KZmH¥${V IÊS> na A{YH$V_ 
g§^d ì`mg dmbm EH$ AY©Jmobm AÜ`mamo{nV h¡ & àmßV R>mog H$m gånyU© n¥îR>r` joÌ\$b 
kmV H$s{OE & 2 
 
2 
AWdm 
(I) 3 go_r {ÌÁ`m dmbo EH$ R>mog Jmobo H$mo {nKbmH$a 3 go_r D±$MmB© VWm 2 go_r {ÌÁ`m 
dmbo {H$VZo R>mog e§Hw$Am| _| T>mbm Om gH$Vm h¡ ? 2 
IÊS>> I 
7 10 3
7. {ZåZ ~ma§~maVm ~§Q>Z H$m _mÜ`H$ kmV H$s{OE : 3 
  
15  20 8 
20  25 13 
25  30 21 
30  35 12 
35  40 5 
40  45 4 
8. 7 _r. D±$Mo ^dZ Ho$ {eIa go EH$ Ho$~b Q>m°da Ho$ {eIa H$m CÞ`Z H$moU 60 h¡ Am¡a BgHo$ 
nmX H$m AdZ_Z H$moU 45 h¡, O¡go {H$ AmH¥${V 3 _| {XIm`m J`m h¡ & Q>m°da H$s D±$MmB© 
kmV H$s{OE & 3 
 
3 
Page 5


.430/3/3 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 PPQQB/3  SET ~3 
  àíZ-nÌ H$moS>  
   
 
 
Q.P. Code 
amob Z§. 
Roll No. 
 
 
 
 NOTE 
(I) 
11
(I) Please check that this question paper 
contains 11 printed pages. 
(II) (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) 
14 
(III) Please check that this question paper 
contains 14 questions. 
(IV) (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 
(V) 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 (~w{Z`mXr)  
MATHEMATICS (BASIC) 
: 2 : 40 
Time allowed : 2 hours Maximum Marks : 40 
 
430/3/3
 
.430/3/3 2 
: 
: 
(i) 14
(ii) 
(iii) 6 1 6 2
(iv) 4 7 10 3
(v) 4 11 14 4
(vi) 
IÊS>> H$ 
1 6 2 
1. {ZåZ{b{IV ~ma§~maVm ~§Q>Z Ho$ {bE ~hþbH$ kmV H$s{OE : 2 
100  110 110  120 120  130 130  140 140  150 
5 9 8 11 7 
2.  24 VWm 11dm± nX 21 8dm± nX kmV 
H$s{OE & 2 
3. AmH¥${V 1 _|, PA VWm PB Ho$ÝÐ O dmbo d¥Îm na ItMr JB© ñne©-aoImE± h¢ & `{X  
 APB = 70 h¡, Vmo  AQB H$s _mn kmV H$s{OE & 2 
 
1 
4. (H$) p Ho$ {H$g _mZ Ho$ {bE {ÛKmV g_rH$aU px
2
 + 2x + p = 0 Ho$ _yb dmñV{dH$ 
VWm ~am~a hm|Jo ? 2 
                      AWdm 
(I) {ÛKmV g_rH$aU 6  x  x
2
 = 0 H$mo x Ho$ {bE hb H$s{OE & 2 
5. 6 h¡ & BgHo$ àW_ Xg nXm| H$m `moJ\$b, àW_ nm±M nXm| 
Ho$ `moJ\ 2 
70 
.430/3/3 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them :  
(i) This question paper contains 14 questions. All questions are compulsory.  
(ii) This question paper is divided into three sections  Sections A, B and C.  
(iii) Section A comprises of 6 questions (Q.no. 1 to 6) of 2 marks each. Internal 
choice has been provided in two questions.   
(iv) Section B comprises of 4 questions (Q.no. 7 to 10) of 3 marks each. Internal 
choice has been provided in one question.   
(v) Section C comprises of 4 questions (Q.no. 11 to 14) of 4 marks each. Internal 
choice has been provided in one question. It also contains two case study based 
questions.  
(vi) Use of calculator is not permitted. 
SECTION A 
Question numbers 1 to 6 carry 2 marks each. 
1. Find mode of the following frequency distribution : 2 
 Class 100  110 110  120 120  130 130  140 140  150 
Frequency 5 9 8 11 7 
2. Find the 8
th
 term of an AP whose first term is  24 and 11
th
 term is 21. 2 
3. In Figure 1, PA and PB are tangents to the circle with centre at O. If 
 APB = 70 , then find m  AQB. 2 
 
Figure 1 
4. (a) For what value of p, does the quadratic equation px
2
 + 2x + p = 0 
have real and equal roots ? 2 
 OR 
(b) Solve the quadratic equation for x :   6  x  x
2
 = 0 2 
5. For an AP with common difference 6, the sum of first ten terms is same as 
four times the sum of first five terms. Determine the first term of the AP. 2 
70 
.430/3/3 4 
6. (H$) AmH¥${V 2 _| {XImE AZwgma, 7 go_r ^wOm dmbo EH$ KZmH¥${V IÊS> na A{YH$V_ 
g§^d ì`mg dmbm EH$ AY©Jmobm AÜ`mamo{nV h¡ & àmßV R>mog H$m gånyU© n¥îR>r` joÌ\$b 
kmV H$s{OE & 2 
 
2 
AWdm 
(I) 3 go_r {ÌÁ`m dmbo EH$ R>mog Jmobo H$mo {nKbmH$a 3 go_r D±$MmB© VWm 2 go_r {ÌÁ`m 
dmbo {H$VZo R>mog e§Hw$Am| _| T>mbm Om gH$Vm h¡ ? 2 
IÊS>> I 
7 10 3
7. {ZåZ ~ma§~maVm ~§Q>Z H$m _mÜ`H$ kmV H$s{OE : 3 
  
15  20 8 
20  25 13 
25  30 21 
30  35 12 
35  40 5 
40  45 4 
8. 7 _r. D±$Mo ^dZ Ho$ {eIa go EH$ Ho$~b Q>m°da Ho$ {eIa H$m CÞ`Z H$moU 60 h¡ Am¡a BgHo$ 
nmX H$m AdZ_Z H$moU 45 h¡, O¡go {H$ AmH¥${V 3 _| {XIm`m J`m h¡ & Q>m°da H$s D±$MmB© 
kmV H$s{OE & 3 
 
3 
.430/3/3 5 P.T.O. 
6. (a) A cubical block of side 7 cm is surmounted by a hemisphere of 
largest possible diameter as shown in Figure 2. Find the total 
surface area of the solid. 2 
 
Figure 2
OR 
(b) How many solid cones of height 3 cm and radius 2 cm can be 
formed by melting a solid sphere of radius 3 cm ? 2 
SECTION B 
Question numbers 7 to 10 carry 3 marks each. 
7. Determine median of the following frequency distribution : 3 
Class  Frequency  
15  20 8 
20  25 13 
25  30 21 
30  35 12 
35  40 5 
40  45 4 
8. From the top of a 7 m high building, the angle of elevation of the top of a 
cable tower is 60 and the angle of depression of its foot is 45 as shown 
in Figure 3. Determine the height of the tower. 3 
 
Figure 3
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FAQs on Class 10 Mathematics: Question Paper for 2022 (Set 3) - Mathematics (Maths) Class 10

1. What are the important topics covered in the Class 10 Mathematics Term 2 exam for 2022?
Ans. The important topics typically covered in the Class 10 Mathematics Term 2 exam include Algebra, Geometry, Trigonometry, Statistics, and Probability. Students should focus on understanding concepts such as quadratic equations, coordinate geometry, and the properties of triangles and circles.
2. How can I prepare effectively for the Class 10 Mathematics Term 2 exam?
Ans. Effective preparation for the Class 10 Mathematics Term 2 exam can be achieved by regularly practicing previous years' question papers, understanding the concepts thoroughly, revising formulas, and solving sample papers. Creating a study schedule and seeking help from teachers or peers for difficult topics can also enhance preparation.
3. What is the marking scheme for the Class 10 Mathematics Term 2 exam?
Ans. The marking scheme for the Class 10 Mathematics Term 2 exam generally consists of a total of 50 marks, divided among various sections like multiple choice questions, short answer questions, and long answer questions. It is important to check the specific exam guidelines provided by the education board for accurate details.
4. How can I manage my time during the Class 10 Mathematics Term 2 exam?
Ans. Managing time during the exam can be done by allocating specific time slots for each section based on the marks and difficulty level. Start with the questions you feel most confident about, and keep track of time to ensure that you can attempt all questions. Practice timed mock tests to improve your speed.
5. What should I do if I find a question difficult during the Class 10 Mathematics Term 2 exam?
Ans. If you encounter a difficult question during the exam, it is advisable to skip it temporarily and move on to other questions. This will help you manage your time better. Once you have completed the easier questions, you can return to the difficult ones with a fresh perspective.
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