Class 10 Exam > Class 10 Notes > Mathematics (Maths) Class 10 > Class 10 Mathematics: Question Paper for 2022 (Set 3)
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Page 1
.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 key topics covered in the Class 10 Mathematics exam? |  |
Ans. The Class 10 Mathematics exam typically covers a variety of key topics, including but not limited to algebra, geometry, statistics, probability, and mensuration. Students are expected to understand and apply concepts such as linear equations, quadratic equations, coordinate geometry, triangles, circles, and data handling.
| 2. How can students effectively prepare for the Class 10 Mathematics exam? | |
Ans. Effective preparation for the Class 10 Mathematics exam involves a combination of regular study, practice, and revision. Students should create a study schedule, practice previous years' question papers, and focus on understanding concepts rather than rote memorization. Utilizing study groups or tutoring can also enhance understanding.
| 3. What is the exam pattern for Class 10 Mathematics? | |
Ans. The exam pattern for Class 10 Mathematics generally includes both theoretical and practical components. It usually consists of multiple-choice questions, short answer questions, and long answer questions. The distribution of marks may vary by topic, and students should be familiar with the marking scheme outlined by their educational board.
| 4. What types of questions are commonly asked in the Class 10 Mathematics exam? | |
Ans. Common types of questions in the Class 10 Mathematics exam include conceptual problems, application-based questions, real-life scenario problems, and numerical calculations. Students may encounter questions that require them to solve equations, prove theorems, and interpret data from graphs or charts.
| 5. How important is practice in mathematics for Class 10 students? | |
Ans. Practice is crucial for Class 10 students in mathematics as it helps solidify understanding of concepts and improve problem-solving skills. Regular practice allows students to familiarize themselves with different types of questions and enhances their speed and accuracy during the exam, ultimately contributing to better performance.
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Students of Class 10 can study Class 10 Mathematics: Question Paper for 2022 (Set 3) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Class 10 Mathematics: Question Paper for 2022 (Set 3),
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Class 10 Mathematics: Question Paper for 2022 (Set 3) is prepared as per the latest Class 10 syllabus.
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