Page 1
Page 1 of 11
MATHEMATICS (BASIC) – Code No. 241
SAMPLE QUESTION PAPER
CLASS - X (2025 - 26)
Maximum marks:80 Time :3 hours
General Instructions
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions (MCQs) and question no.19 and
20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Question numbers 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based questions carrying 4 marks each with
sub parts of the values of 1, 1 and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions of Section B, 2 questions of
Section C and 2 questions of Section D has been provided. An internal choice has been provided
in all the 2 marks questions of Section E.
9. Draw neat and clean figures wherever required. Take ?? =
22
7
wherever required if not stated.
10. Use of calculators is not allowed.
SECTION – A
(Multiple Choice Questions)
Each MCQ of 1mark, has four options with only one correct option, choose the correct option
Q. No. Question Marks
Q1. The exponent of 3 in the prime factorization of 2025 is
A) 1
B) 2
C) 3
D) 4
1
Q2. If 2024?? + 2025?? = 1 ; 2025?? + 2024?? = -1, then ?? - ?? =
A) 0
B) – 2
C) 2
D) – 1
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 2
Page 1 of 11
MATHEMATICS (BASIC) – Code No. 241
SAMPLE QUESTION PAPER
CLASS - X (2025 - 26)
Maximum marks:80 Time :3 hours
General Instructions
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions (MCQs) and question no.19 and
20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Question numbers 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based questions carrying 4 marks each with
sub parts of the values of 1, 1 and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions of Section B, 2 questions of
Section C and 2 questions of Section D has been provided. An internal choice has been provided
in all the 2 marks questions of Section E.
9. Draw neat and clean figures wherever required. Take ?? =
22
7
wherever required if not stated.
10. Use of calculators is not allowed.
SECTION – A
(Multiple Choice Questions)
Each MCQ of 1mark, has four options with only one correct option, choose the correct option
Q. No. Question Marks
Q1. The exponent of 3 in the prime factorization of 2025 is
A) 1
B) 2
C) 3
D) 4
1
Q2. If 2024?? + 2025?? = 1 ; 2025?? + 2024?? = -1, then ?? - ?? =
A) 0
B) – 2
C) 2
D) – 1
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 2 of 11
Q3. The number of polynomials having - 2 and 5 as its zeroes is
A) one
B) two
C) three
D) Infinitely many
1
Q4. Which of the following is not a quadratic equation?
A) (?? + 2)
2
= 2(?? + 3)
B) ?? 2
+ 3?? = (-1)(1 - 3?? 2
)
C) (?? + 2)(?? - 1) = ?? 2
- ?? ?? - 3
D) ?? 3
- ?? 2
+ 2?? + 1 = (?? + 1)
3
1
Q5.
The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms
of an AP is
A) 6
B) - 6
C) -2
D) 2
1
Q6. If 1 + 2 + 3 + 4 +?+ 50 = 25k, then k =
A) 50
B) 51
C) 49
D) 26
1
Q7. The distance between the points (cos30°, sin30°) and (cos60°, – sin 60°) is
A) 0 unit
B) v3 units
C) 1 unit
D) v2 units
1
Q8.
The co-ordinates of the point which is mirror image of the point ( -3, 5) about x-axis
are
A) (3, 5)
B) (3, -5)
C) ( -3, -5)
D) ( -3, 5)
1
Q9.
If in ?ABC and ?DEF,
AB
EF
=
AC
DE
then they will be similar when
A) ?A = ?D
B) ?A = ?E
C) ?C = ?F
D) ?B = ?E
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 3
Page 1 of 11
MATHEMATICS (BASIC) – Code No. 241
SAMPLE QUESTION PAPER
CLASS - X (2025 - 26)
Maximum marks:80 Time :3 hours
General Instructions
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions (MCQs) and question no.19 and
20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Question numbers 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based questions carrying 4 marks each with
sub parts of the values of 1, 1 and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions of Section B, 2 questions of
Section C and 2 questions of Section D has been provided. An internal choice has been provided
in all the 2 marks questions of Section E.
9. Draw neat and clean figures wherever required. Take ?? =
22
7
wherever required if not stated.
10. Use of calculators is not allowed.
SECTION – A
(Multiple Choice Questions)
Each MCQ of 1mark, has four options with only one correct option, choose the correct option
Q. No. Question Marks
Q1. The exponent of 3 in the prime factorization of 2025 is
A) 1
B) 2
C) 3
D) 4
1
Q2. If 2024?? + 2025?? = 1 ; 2025?? + 2024?? = -1, then ?? - ?? =
A) 0
B) – 2
C) 2
D) – 1
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 2 of 11
Q3. The number of polynomials having - 2 and 5 as its zeroes is
A) one
B) two
C) three
D) Infinitely many
1
Q4. Which of the following is not a quadratic equation?
A) (?? + 2)
2
= 2(?? + 3)
B) ?? 2
+ 3?? = (-1)(1 - 3?? 2
)
C) (?? + 2)(?? - 1) = ?? 2
- ?? ?? - 3
D) ?? 3
- ?? 2
+ 2?? + 1 = (?? + 1)
3
1
Q5.
The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms
of an AP is
A) 6
B) - 6
C) -2
D) 2
1
Q6. If 1 + 2 + 3 + 4 +?+ 50 = 25k, then k =
A) 50
B) 51
C) 49
D) 26
1
Q7. The distance between the points (cos30°, sin30°) and (cos60°, – sin 60°) is
A) 0 unit
B) v3 units
C) 1 unit
D) v2 units
1
Q8.
The co-ordinates of the point which is mirror image of the point ( -3, 5) about x-axis
are
A) (3, 5)
B) (3, -5)
C) ( -3, -5)
D) ( -3, 5)
1
Q9.
If in ?ABC and ?DEF,
AB
EF
=
AC
DE
then they will be similar when
A) ?A = ?D
B) ?A = ?E
C) ?C = ?F
D) ?B = ?E
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 3 of 11
Q10.
If ?ABC~?PQR, then perimeter of the triangle PQR (in cm) is
A) 12
B) 24
C) 18
D) 20
For visually Impaired students only
If ?ABC~?PQR, where AB = 3cm, BC = 4cm, AC = 5cm and PR = 10cm, then
perimeter of the triangle PQR (in cm) is
A) 12
B) 24
C) 18
D) 20
1
Q11. In the figure given below, radius r of the circle which touches the sides of the
triangle is
A) 3 cm
B) 6 cm
C) 7 cm
D) 4 cm
For visually Impaired students only
From a point P, which is at a distance of 26cm from the centre O of a circle with
radius 10 cm, the pair of tangents PQ and PR to the circle are drawn. Then the
area of the quadrilateral PQOR (in cm
2
) is
A) 220
B) 240
C) 260
D) 280
1
Q12.
Which one of the following is not equal to Unity?
A) sin
2
?? + cos
2
??
B) cot
2
?? - cosec
2
??
C) sec
2
?? - tan
2
??
D) tan?? . cot??
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 4
Page 1 of 11
MATHEMATICS (BASIC) – Code No. 241
SAMPLE QUESTION PAPER
CLASS - X (2025 - 26)
Maximum marks:80 Time :3 hours
General Instructions
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions (MCQs) and question no.19 and
20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Question numbers 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based questions carrying 4 marks each with
sub parts of the values of 1, 1 and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions of Section B, 2 questions of
Section C and 2 questions of Section D has been provided. An internal choice has been provided
in all the 2 marks questions of Section E.
9. Draw neat and clean figures wherever required. Take ?? =
22
7
wherever required if not stated.
10. Use of calculators is not allowed.
SECTION – A
(Multiple Choice Questions)
Each MCQ of 1mark, has four options with only one correct option, choose the correct option
Q. No. Question Marks
Q1. The exponent of 3 in the prime factorization of 2025 is
A) 1
B) 2
C) 3
D) 4
1
Q2. If 2024?? + 2025?? = 1 ; 2025?? + 2024?? = -1, then ?? - ?? =
A) 0
B) – 2
C) 2
D) – 1
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 2 of 11
Q3. The number of polynomials having - 2 and 5 as its zeroes is
A) one
B) two
C) three
D) Infinitely many
1
Q4. Which of the following is not a quadratic equation?
A) (?? + 2)
2
= 2(?? + 3)
B) ?? 2
+ 3?? = (-1)(1 - 3?? 2
)
C) (?? + 2)(?? - 1) = ?? 2
- ?? ?? - 3
D) ?? 3
- ?? 2
+ 2?? + 1 = (?? + 1)
3
1
Q5.
The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms
of an AP is
A) 6
B) - 6
C) -2
D) 2
1
Q6. If 1 + 2 + 3 + 4 +?+ 50 = 25k, then k =
A) 50
B) 51
C) 49
D) 26
1
Q7. The distance between the points (cos30°, sin30°) and (cos60°, – sin 60°) is
A) 0 unit
B) v3 units
C) 1 unit
D) v2 units
1
Q8.
The co-ordinates of the point which is mirror image of the point ( -3, 5) about x-axis
are
A) (3, 5)
B) (3, -5)
C) ( -3, -5)
D) ( -3, 5)
1
Q9.
If in ?ABC and ?DEF,
AB
EF
=
AC
DE
then they will be similar when
A) ?A = ?D
B) ?A = ?E
C) ?C = ?F
D) ?B = ?E
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 3 of 11
Q10.
If ?ABC~?PQR, then perimeter of the triangle PQR (in cm) is
A) 12
B) 24
C) 18
D) 20
For visually Impaired students only
If ?ABC~?PQR, where AB = 3cm, BC = 4cm, AC = 5cm and PR = 10cm, then
perimeter of the triangle PQR (in cm) is
A) 12
B) 24
C) 18
D) 20
1
Q11. In the figure given below, radius r of the circle which touches the sides of the
triangle is
A) 3 cm
B) 6 cm
C) 7 cm
D) 4 cm
For visually Impaired students only
From a point P, which is at a distance of 26cm from the centre O of a circle with
radius 10 cm, the pair of tangents PQ and PR to the circle are drawn. Then the
area of the quadrilateral PQOR (in cm
2
) is
A) 220
B) 240
C) 260
D) 280
1
Q12.
Which one of the following is not equal to Unity?
A) sin
2
?? + cos
2
??
B) cot
2
?? - cosec
2
??
C) sec
2
?? - tan
2
??
D) tan?? . cot??
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 4 of 11
Q13. Consider the following frequency distribution
Class 0 – 5 5 – 10 10 – 15 15 – 20 20 – 25
Frequency 11 12 13 9 11
The upper limit of median class is
A) 10
B) 13
C) 15
D) 20
1
Q14. Let empirical relationship between the three measures of central tendency be
a(Median) = Mode + b(Mean), then (2b + 3a) =
A) 11
B) 12
C) 13
D) 14
1
Q15. From an external point Q, the length of tangent to a circle is 12 cm and the distance
of Q from the centre of circle is 13 cm. The radius of circle (in cm) is
A) 10
B) 5
C) 12
D) 7
1
Q16.
In the given figure, PA is a tangent from an external point P to a circle with centre
O and diameter AB. If ?POB=115°, then measure of ?APO is
A) 25°
B) 30°
C) 20°
D) 65°
For visually Impaired students only
At one end A of a diameter AB of a circle with radius 13 cm, tangent XAY is drawn
to the circle. The length of the chord CD parallel to XY and at a distance 18 cm
from A is
A) 24 cm
B) 25 cm
C) 26 cm
D) 18 cm
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 5
Page 1 of 11
MATHEMATICS (BASIC) – Code No. 241
SAMPLE QUESTION PAPER
CLASS - X (2025 - 26)
Maximum marks:80 Time :3 hours
General Instructions
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 1-18 are multiple choice questions (MCQs) and question no.19 and
20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Question numbers 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Question numbers 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Question numbers 36-38 are case study-based questions carrying 4 marks each with
sub parts of the values of 1, 1 and 2 marks each respectively.
8. There is no overall choice. However, an internal choice in 2 questions of Section B, 2 questions of
Section C and 2 questions of Section D has been provided. An internal choice has been provided
in all the 2 marks questions of Section E.
9. Draw neat and clean figures wherever required. Take ?? =
22
7
wherever required if not stated.
10. Use of calculators is not allowed.
SECTION – A
(Multiple Choice Questions)
Each MCQ of 1mark, has four options with only one correct option, choose the correct option
Q. No. Question Marks
Q1. The exponent of 3 in the prime factorization of 2025 is
A) 1
B) 2
C) 3
D) 4
1
Q2. If 2024?? + 2025?? = 1 ; 2025?? + 2024?? = -1, then ?? - ?? =
A) 0
B) – 2
C) 2
D) – 1
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 2 of 11
Q3. The number of polynomials having - 2 and 5 as its zeroes is
A) one
B) two
C) three
D) Infinitely many
1
Q4. Which of the following is not a quadratic equation?
A) (?? + 2)
2
= 2(?? + 3)
B) ?? 2
+ 3?? = (-1)(1 - 3?? 2
)
C) (?? + 2)(?? - 1) = ?? 2
- ?? ?? - 3
D) ?? 3
- ?? 2
+ 2?? + 1 = (?? + 1)
3
1
Q5.
The value of x for which 2x, (x + 10) and (3x + 2) are the three consecutive terms
of an AP is
A) 6
B) - 6
C) -2
D) 2
1
Q6. If 1 + 2 + 3 + 4 +?+ 50 = 25k, then k =
A) 50
B) 51
C) 49
D) 26
1
Q7. The distance between the points (cos30°, sin30°) and (cos60°, – sin 60°) is
A) 0 unit
B) v3 units
C) 1 unit
D) v2 units
1
Q8.
The co-ordinates of the point which is mirror image of the point ( -3, 5) about x-axis
are
A) (3, 5)
B) (3, -5)
C) ( -3, -5)
D) ( -3, 5)
1
Q9.
If in ?ABC and ?DEF,
AB
EF
=
AC
DE
then they will be similar when
A) ?A = ?D
B) ?A = ?E
C) ?C = ?F
D) ?B = ?E
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 3 of 11
Q10.
If ?ABC~?PQR, then perimeter of the triangle PQR (in cm) is
A) 12
B) 24
C) 18
D) 20
For visually Impaired students only
If ?ABC~?PQR, where AB = 3cm, BC = 4cm, AC = 5cm and PR = 10cm, then
perimeter of the triangle PQR (in cm) is
A) 12
B) 24
C) 18
D) 20
1
Q11. In the figure given below, radius r of the circle which touches the sides of the
triangle is
A) 3 cm
B) 6 cm
C) 7 cm
D) 4 cm
For visually Impaired students only
From a point P, which is at a distance of 26cm from the centre O of a circle with
radius 10 cm, the pair of tangents PQ and PR to the circle are drawn. Then the
area of the quadrilateral PQOR (in cm
2
) is
A) 220
B) 240
C) 260
D) 280
1
Q12.
Which one of the following is not equal to Unity?
A) sin
2
?? + cos
2
??
B) cot
2
?? - cosec
2
??
C) sec
2
?? - tan
2
??
D) tan?? . cot??
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 4 of 11
Q13. Consider the following frequency distribution
Class 0 – 5 5 – 10 10 – 15 15 – 20 20 – 25
Frequency 11 12 13 9 11
The upper limit of median class is
A) 10
B) 13
C) 15
D) 20
1
Q14. Let empirical relationship between the three measures of central tendency be
a(Median) = Mode + b(Mean), then (2b + 3a) =
A) 11
B) 12
C) 13
D) 14
1
Q15. From an external point Q, the length of tangent to a circle is 12 cm and the distance
of Q from the centre of circle is 13 cm. The radius of circle (in cm) is
A) 10
B) 5
C) 12
D) 7
1
Q16.
In the given figure, PA is a tangent from an external point P to a circle with centre
O and diameter AB. If ?POB=115°, then measure of ?APO is
A) 25°
B) 30°
C) 20°
D) 65°
For visually Impaired students only
At one end A of a diameter AB of a circle with radius 13 cm, tangent XAY is drawn
to the circle. The length of the chord CD parallel to XY and at a distance 18 cm
from A is
A) 24 cm
B) 25 cm
C) 26 cm
D) 18 cm
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
Page 5 of 11
Q17. The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is
A) 3 : 4
B) 4 : 3
C) 9 : 16
D) 16 : 9
1
Q18. An event is most unlikely to happen. Its probability is
A) 0.0001
B) 0.001
C) 0.01
D) 0.1
1
Each of the following questions contains two statements i.e., ASSERTION
and REASON, and has following four choices. Only one of which is the
correct answer.
Q19. Q1. ASSERTION (A): Line joining the midpoints of two sides of triangle is parallel to the
third side.
Q2.
REASON (R): If a line divides two sides of a triangle in the same ratio then it is
parallel to the third side.
A) Both assertion (A) and reason (R) are true and reason (R) is the correct
explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct
explanation of assertion (A).
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
1
Q20. Q3. ASSERTION (A): Two coins are tossed simultaneously. Possible outcomes are two
heads, one head and one tail, two tails. Hence, the probability of getting two heads
is
1
3
.
Q4.
REASON (R): Probabilities of ‘equally likely’ outcomes of an experiment are always
equal.
A) Both assertion (A) and reason (R) are true and reason (R) is the correct
explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct
explanation of assertion (A).
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
1
*Please note that the assessment scheme of the Academic Session 2024-25 will continue in the current session i.e. 2025-26
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