CBSE Class 10 > Class 10 Notes > Past Year Papers > Mathematics (Standard) 2023 Compartment Exams Set-1
Mathematics (Standard) 2023 Compartment Exams Set-1
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Page 1
30/C/1 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 ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^
Page 2
30/C/1 JJJJ Page 1 P.T.O.
narjmWu àíZ-nÌ H$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 ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~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$mB©
Page 3
30/C/1 JJJJ Page 1 P.T.O.
narjmWu àíZ-nÌ H$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 ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~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$mB©
30/C/1 JJJJ Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take =
7
22
wherever required, if not
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The values of k for which the equation 4x
2
+ kx + 9 = 0 has real and equal
roots are :
(a) 11 (b) 12
(c) 6 (d) 3
2. The distance of the point (4, 7) from the x-axis is :
(a) 7 units (b) 5 units
(c) 4 units (d) 10 units
Page 4
30/C/1 JJJJ Page 1 P.T.O.
narjmWu àíZ-nÌ H$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 ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~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$mB©
30/C/1 JJJJ Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take =
7
22
wherever required, if not
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The values of k for which the equation 4x
2
+ kx + 9 = 0 has real and equal
roots are :
(a) 11 (b) 12
(c) 6 (d) 3
2. The distance of the point (4, 7) from the x-axis is :
(a) 7 units (b) 5 units
(c) 4 units (d) 10 units
30/C/1 JJJJ Page 4
3. EH$ n[adma _| H$_-go- :
(a)
2
1
(b)
5
2
(c)
4
3
(d)
4
1
4. {Og pñW{V Ho$ {bE, g_rH$aU `w½_ ax + 2y = 7 Am¡a 3x + by = 16 g_m§Va aoImAm| H$m
{Zê$nU H$aVo h¢, dh h¡ :
(a) ab =
16
7
(b ) ab = 6
(c) ab = 3 (d) ab = 2
5. ~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
6. cot
2
2
sin
1
~am~a h¡ :
(a) 1 (b) 2
(c) 2 (d) 1
7. {~ÝXþ A Ho$ {ZX}em§H$, Ohm± AB Cg d¥Îm H$m ì`mg h¡ {OgH$m H|$Ð (3, 2) VWm B (7, 4)
h¡, h¢ :
(a) ( 1, 8) (b) ( 1, 8)
(c) (1, 8) (d) (1, 8)
8. `{X x, 2x + 9, 4x + 3 EH$ A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ :
(a) 3 (b) 10
(c) 13 (d) 15
Page 5
30/C/1 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 ~ 1
Q.P. Code
Roll No.
J{UV (_mZH$)
MATHEMATICS (STANDARD)
*
: 3 : 80
Time allowed : 3 hours Maximum Marks : 80
ZmoQ> / N O T E :
(i)
- 23
Please check that this question paper contains 23 printed pages.
(ii)
- - -
-
Q.P. Code given on the right hand side of the question paper should be written on the title
page of the answer-book by the candidate.
(iii)
- 38
Please check that this question paper contains 38 questions.
(iv)
-
Please write down the serial number of the question in the answer-book before
attempting it.
(v)
- 15 -
10.15 10.15 10.30 -
-
15 minute time has been allotted to read this question paper. The question paper will be
distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the students will read the
question paper only and will not write any answer on the answer-book during this period.
30/C/1
^ 30/C/1 JJJJ Page 2
:
:
(i) 38
(ii)
(iii) 1 18 (MCQ) 19 20
(iv) 21 25 (VSA)
(v) 26 31 (SA)
(vi) 32 35 (LA)
(vii) 36 38
(viii) 2 2
2 3
(ix) =
7
22
(x)
IÊS> H$
(MCQ) 1
1. k Ho$ _mZ, {OZHo$ {bE g_rH$aU 4x
2
+ kx + 9 = 0 Ho$ dmñV{dH$ Am¡a ~am~a _yb h¢, h¢ :
(a) 11 (b) 12
(c) 6 (d) 3
2. {~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$mB©
30/C/1 JJJJ Page 3 P.T.O.
General Instructions :
Read the following instructions very carefully and strictly follow them :
(i) This question paper contains 38 questions. All questions are compulsory.
(ii) This question paper is divided into five Sections A, B, C, D and E.
(iii) In Section A, Questions no. 1 to 18 are multiple choice questions (MCQs) and
questions number 19 and 20 are Assertion-Reason based questions of 1 mark
each.
(iv) In Section B, Questions no. 21 to 25 are very short answer (VSA) type
questions, carrying 2 marks each.
(v) In Section C, Questions no. 26 to 31 are short answer (SA) type questions,
carrying 3 marks each.
(vi) In Section D, Questions no. 32 to 35 are long answer (LA) type questions
carrying 5 marks each.
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying
4 marks each. Internal choice is provided in 2 marks questions in each
case-study.
(viii) There is no overall choice. However, an internal choice has been provided in
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and
3 questions in Section E.
(ix) Draw neat diagrams wherever required. Take =
7
22
wherever required, if not
stated.
(x) Use of calculators is not allowed.
SECTION A
This section comprises multiple choice questions (MCQs) of 1 mark each.
1. The values of k for which the equation 4x
2
+ kx + 9 = 0 has real and equal
roots are :
(a) 11 (b) 12
(c) 6 (d) 3
2. The distance of the point (4, 7) from the x-axis is :
(a) 7 units (b) 5 units
(c) 4 units (d) 10 units
30/C/1 JJJJ Page 4
3. EH$ n[adma _| H$_-go- :
(a)
2
1
(b)
5
2
(c)
4
3
(d)
4
1
4. {Og pñW{V Ho$ {bE, g_rH$aU `w½_ ax + 2y = 7 Am¡a 3x + by = 16 g_m§Va aoImAm| H$m
{Zê$nU H$aVo h¢, dh h¡ :
(a) ab =
16
7
(b ) ab = 6
(c) ab = 3 (d) ab = 2
5. ~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
6. cot
2
2
sin
1
~am~a h¡ :
(a) 1 (b) 2
(c) 2 (d) 1
7. {~ÝXþ A Ho$ {ZX}em§H$, Ohm± AB Cg d¥Îm H$m ì`mg h¡ {OgH$m H|$Ð (3, 2) VWm B (7, 4)
h¡, h¢ :
(a) ( 1, 8) (b) ( 1, 8)
(c) (1, 8) (d) (1, 8)
8. `{X x, 2x + 9, 4x + 3 EH$ A.P. Ho$ VrZ H«$_mJV nX h¢, Vmo x H$m _mZ h¡ :
(a) 3 (b) 10
(c) 13 (d) 15
30/C/1 JJJJ Page 5 P.T.O.
3. 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
4. The condition for which the pair of equations ax + 2y = 7 and 3x + by = 16
represent parallel lines is :
(a) ab =
16
7
(b ) ab = 6
(c) ab = 3 (d) ab = 2
5. 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
6. cot
2
2
sin
1
is equal to :
(a) 1 (b) 2
(c) 2 (d) 1
7. The coordinates of the point A, where AB is the diameter of the circle
whose centre is (3, 2) and B (7, 4) is :
(a) ( 1, 8) (b) ( 1, 8)
(c) (1, 8) (d) (1, 8)
8. If x, 2x + 9, 4x + 3 are three consecutive terms of an A.P., then the
value of x is :
(a) 3 (b) 10
(c) 13 (d) 15
Read MoreFAQs on Mathematics (Standard) 2023 Compartment Exams Set-1
| 1. What are the most important formulas and theorems I need to memorise for the Class 10 CBSE Mathematics compartment exam? |  |
Ans. The 2023 compartment papers emphasise quadratic equations, trigonometric ratios, circle theorems, and coordinate geometry formulas. Students should prioritise the quadratic formula, Pythagorean identity (sin²θ + cos²θ = 1), circle tangent-radius relationships, and distance formula. Refer to mind maps and flashcards on EduRev to consolidate these core concepts before your exam attempt.
| 2. How do I solve coordinate geometry problems like finding the distance between two points in the compartment exam? | |
Ans. Use the distance formula: √[(x₂ - x₁)² + (y₂ - y₁)²] to calculate the straight-line distance between any two coordinate points. Previous year compartment papers frequently test this in combination with midpoint calculations and collinearity checks. Practice multiple numerical examples to build confidence with substitution and simplification steps.
| 3. What's the difference between real and non-real roots in a quadratic equation for CBSE Math exams? | |
Ans. Real roots exist when the discriminant (b² - 4ac) is zero or positive; non-real roots occur when the discriminant is negative. The 2023 compartment set emphasises discriminant analysis to determine root nature without solving. Understanding this distinction helps solve classification problems and predict solution existence quickly during exam time.
| 4. Which trigonometry topics appear most frequently in Class 10 compartment mathematics papers? | |
Ans. Trigonometric ratios (sine, cosine, tangent), complementary angle relationships, and heights-and-distances applications dominate compartment papers. The 2023 exam set includes problems requiring angle evaluation and real-world scenario applications. Students often struggle with trigonometric identities; practise substitution techniques and angle transformations systematically.
| 5. How should I approach circle geometry problems involving tangents and secants in the compartment exam? | |
Ans. Identify whether lines touch the circle at one point (tangents) or intersect at two points (secants). Key theorems include tangent-radius perpendicularity and the tangent-secant angle relationship. The compartment papers test these through angle calculations and length determinations, requiring careful diagram interpretation and systematic application of circle properties.
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