SAMPLE QUESTION PAPER
Class X Session 2024-25
MATHEMATICS STANDARD (Code No.041)
TIME: 3 hours MAX.MARKS: 80
General Instructions:
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Questions no. 1-18 are multiple choice questions (MCQs) and questions no. 19
and 20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Questions no. 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Questions no. 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Questions no. 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Questions no. 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. All Questions are compulsory. However, an internal choice in 2 Question 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.
10. Take π =22/7 wherever required if not stated.
11. Use of calculators is not allowed.
Section A
Section A consists of 20 questions of 1 mark each.
1. The graph of a quadratic polynomial p(x) passes through the points (-6,0), (0, -30), 1
(4,-20) and (6,0). The zeroes of the polynomial are
A) - 6,0 B) 4, 6 C) - 30,-20 D) - 6,6
2. The value of k for which the system of equations 3x-ky= 7 and 6x+ 10y =3 is 1
inconsistent, is
A) -10 B) -5 C) 5 D) 7
3. Which of the following statements is not true? 1
A) A number of secants can be drawn at any point on the circle.
B) Only one tangent can be drawn at any point on a circle.
C) A chord is a line segment joining two points on the circle
D) From a point inside a circle only two tangents can be drawn.
4. If nth term of an A.P. is 7n-4 then the common difference of the A.P. is 1
A) 7 B) 7n C) - 4 D) 4
, 5. The radius of the base of a right circular cone and the radius of a sphere are each 5 cm 1
in length. If the volume of the cone is equal to the volume of the sphere then the height
of the cone is
A) 5 cm B) 20 cm C) 10 cm D) 4 cm
6. 5 4 𝑠𝑖𝑛𝜃 + 𝑐𝑜𝑠𝜃 1
If tan𝜃 = then is equal to
2 4 𝑠𝑖𝑛𝜃 − 𝑐𝑜𝑠𝜃
11 3 9
A) B) C) D) 4
9 2 11
7. In the given figure, a tangent has been drawn at a point P on the circle centred at O. 1
Q
O
T P
If ∠ TPQ= 110𝑂 then ∠POQ is equal to
A) 110𝑂 B) 70𝑂 C) 140𝑂 D)55𝑂
8. 5 5 1
A quadratic polynomial having zeroes - √ and √ is
2 2
A) 𝑥 2 − 5√2 x +1 B) 8𝑥 2 - 20 C) 15𝑥 2 - 6 D) 𝑥 2 - 2√5 x -1
9. Consider the frequency distribution of 45 observations. 1
Class 0-10 10-20 20-30 30-40 40-50
Frequency 5 9 15 10 6
The upper limit of median class is
A) 20 B) 10 C) 30 D) 40
10. O is the point of intersection of two chords AB and CD of a circle. 1
B
D O
A C
If ∠𝐵𝑂𝐶 = 80𝑂 and OA = OD then 𝛥𝑂𝐷𝐴 𝑎𝑛𝑑 𝛥𝑂𝐵𝐶 are
A) equilateral and similar B) isosceles and similar
C) isosceles but not similar D) not similar
Class X Session 2024-25
MATHEMATICS STANDARD (Code No.041)
TIME: 3 hours MAX.MARKS: 80
General Instructions:
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Questions no. 1-18 are multiple choice questions (MCQs) and questions no. 19
and 20 are Assertion- Reason based questions of 1 mark each.
4. In Section B, Questions no. 21-25 are very short answer (VSA) type questions, carrying 02 marks
each.
5. In Section C, Questions no. 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Questions no. 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Questions no. 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. All Questions are compulsory. However, an internal choice in 2 Question 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.
10. Take π =22/7 wherever required if not stated.
11. Use of calculators is not allowed.
Section A
Section A consists of 20 questions of 1 mark each.
1. The graph of a quadratic polynomial p(x) passes through the points (-6,0), (0, -30), 1
(4,-20) and (6,0). The zeroes of the polynomial are
A) - 6,0 B) 4, 6 C) - 30,-20 D) - 6,6
2. The value of k for which the system of equations 3x-ky= 7 and 6x+ 10y =3 is 1
inconsistent, is
A) -10 B) -5 C) 5 D) 7
3. Which of the following statements is not true? 1
A) A number of secants can be drawn at any point on the circle.
B) Only one tangent can be drawn at any point on a circle.
C) A chord is a line segment joining two points on the circle
D) From a point inside a circle only two tangents can be drawn.
4. If nth term of an A.P. is 7n-4 then the common difference of the A.P. is 1
A) 7 B) 7n C) - 4 D) 4
, 5. The radius of the base of a right circular cone and the radius of a sphere are each 5 cm 1
in length. If the volume of the cone is equal to the volume of the sphere then the height
of the cone is
A) 5 cm B) 20 cm C) 10 cm D) 4 cm
6. 5 4 𝑠𝑖𝑛𝜃 + 𝑐𝑜𝑠𝜃 1
If tan𝜃 = then is equal to
2 4 𝑠𝑖𝑛𝜃 − 𝑐𝑜𝑠𝜃
11 3 9
A) B) C) D) 4
9 2 11
7. In the given figure, a tangent has been drawn at a point P on the circle centred at O. 1
Q
O
T P
If ∠ TPQ= 110𝑂 then ∠POQ is equal to
A) 110𝑂 B) 70𝑂 C) 140𝑂 D)55𝑂
8. 5 5 1
A quadratic polynomial having zeroes - √ and √ is
2 2
A) 𝑥 2 − 5√2 x +1 B) 8𝑥 2 - 20 C) 15𝑥 2 - 6 D) 𝑥 2 - 2√5 x -1
9. Consider the frequency distribution of 45 observations. 1
Class 0-10 10-20 20-30 30-40 40-50
Frequency 5 9 15 10 6
The upper limit of median class is
A) 20 B) 10 C) 30 D) 40
10. O is the point of intersection of two chords AB and CD of a circle. 1
B
D O
A C
If ∠𝐵𝑂𝐶 = 80𝑂 and OA = OD then 𝛥𝑂𝐷𝐴 𝑎𝑛𝑑 𝛥𝑂𝐵𝐶 are
A) equilateral and similar B) isosceles and similar
C) isosceles but not similar D) not similar
