Marking Scheme links are given at end of this PDF.
CBSE EXAM 2025
Class : 10th
Sub : Maths Standard
How to see answers or marking scheme ?
Go to end of this PDF.
Disclaimer: These papers are based on the SQP released by CBSE and
published by a private organization just for the practice of the students.
CBSE has not released these papers and CBSE is not related to these papers
in any manner. Publisher of these papers clearly state that these paeprs
are only for practice of students and questions may not be come in main
exam.
,CBSE Maths Class 10 Sample Paper 01 Page 1
Sample Paper 01
Class - 10th Exam - 2024 - 25
Mathematics - Standard
Time : 3 Hours Max. Marks : 80
General Instructions :
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 = 227 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. If x2 + y2 = 25 , xy = 12 , then x is
(a) (3, 4) (b) (3, - 3)
(c) (3, 4, - 3, - 4) (d) (3, - 3)
2. If the square of difference of the zeroes of the quadratic polynomial x2 + px + 45 is equal to 144, then the
value of p is
(a) ! 9 (b) ! 12
(c) ! 15 (d) ! 18
3. TABC and TBDE are two equilateral triangle such that D is the mid-point of BC . Ratio of the areas
of triangles ABC and BDE is ................. .
(a) 1 : 4 (b) 4 : 1
(c) 1 : 3 (d) 3 : 1
4. In the adjoining figure, TP and TQ are the two tangents to a circle with centre O . If +POQ = 110c,
then +PTQ is
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,Page 2 Sample Paper 01 CBSE Maths Class 10
(a) 60c (b) 70c
(c) 80c (d) 90c
5. A set of numbers consists of three 4’s, five 5’s, six 6’s, eight 8’s and seven 10’s. The mode of this set of
numbers is
(a) 6 (b) 7
(c) 8 (d) 10
6. TABC is an equilateral triangle with each side of length 2p . If AD = BC then the value of AD is
(a) 3 (b) 3p
(c) 2p (d) 4p
7. The quadratic equation x2 − 4x − 3 2 = 0 has
(a) two distinct real roots (b) two equal real roots
(c) no real roots (d) more than 2 real roots
8. From an external point P , tangents PA and PB are drawn to a circle with centre O . If CD is the tangent
to the circle at a point E and PA = 14 cm . The perimeter of TPCD is
(a) 14 cm (b) 21 cm
(c) 28 cm (d) 35 cm
9. (cos 4 A - sin 4 A) is equal to
(a) 1 - 2 cos2 A (b) 2 sin2 A - 1
(c) sin2 A - cos2 A (d) 2 cos2 A - 1
10. An observer, 1.5 m tall is 20.5 away from a tower 22 m high, then the angle of elevation of the top of the
tower from the eye of observer is
(a) 30c (b) 45c
(c) 60c (d) 90c
11. Which of the following relationship is the correct?
(a) P (E ) + P (E ) = 1 (b) P (E ) − P (E ) = 1
(c) P (E ) = 1 + P (E ) (d) None of these
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, CBSE Maths Class 10 Sample Paper 01 Page 3
12. The pair of equations x = a and y = b graphically represents lines which are
(a) parallel (b) intersecting at (b, a)
(c) coincident (d) intersecting at (a, b)
13. A tree casts a shadow 15 m long on the level of ground, when the angle of elevation of the sun is 45c. The
height of a tree is
(a) 10 m (b) 14 m
(c) 8 m (d) 15 m
14. From a solid circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the
same height and same base is removed, then the volume of remaining solid is
(a) 280 πcm3 (b) 330 πcm3
(c) 240 πcm3 (d) 440 π cm3
15. If median is 137 and mean is 137.05, then the value of mode is
(a) 156.90 (b) 136.90
(c) 186.90 (d) 206.90
16. If the circumference of a circle increases from 4 π to 8 π , then its area is
(a) halved (b) doubled
(c) tripled (d) quadrupled
17. A chord of a circle of radius 10 cm, subtends a right angle at its centre. The length of the chord (in cm) is
(a) 5 (b) 5 2
2
(c) 10 2 (d) 10 3
18. If a number x is chosen at random from the numbers - 2, - 1, 0, 1, 2 . Then, the probability that x2 1 2
is
(a) 2 (b) 4
5 5
(c) 1 (d) 3
5 5
19. Assertion : The value of sin θ = 43 is not possible.
Reason : Hypotenuse is the largest side in any right angled triangle.
(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.
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CBSE EXAM 2025
Class : 10th
Sub : Maths Standard
How to see answers or marking scheme ?
Go to end of this PDF.
Disclaimer: These papers are based on the SQP released by CBSE and
published by a private organization just for the practice of the students.
CBSE has not released these papers and CBSE is not related to these papers
in any manner. Publisher of these papers clearly state that these paeprs
are only for practice of students and questions may not be come in main
exam.
,CBSE Maths Class 10 Sample Paper 01 Page 1
Sample Paper 01
Class - 10th Exam - 2024 - 25
Mathematics - Standard
Time : 3 Hours Max. Marks : 80
General Instructions :
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 = 227 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. If x2 + y2 = 25 , xy = 12 , then x is
(a) (3, 4) (b) (3, - 3)
(c) (3, 4, - 3, - 4) (d) (3, - 3)
2. If the square of difference of the zeroes of the quadratic polynomial x2 + px + 45 is equal to 144, then the
value of p is
(a) ! 9 (b) ! 12
(c) ! 15 (d) ! 18
3. TABC and TBDE are two equilateral triangle such that D is the mid-point of BC . Ratio of the areas
of triangles ABC and BDE is ................. .
(a) 1 : 4 (b) 4 : 1
(c) 1 : 3 (d) 3 : 1
4. In the adjoining figure, TP and TQ are the two tangents to a circle with centre O . If +POQ = 110c,
then +PTQ is
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,Page 2 Sample Paper 01 CBSE Maths Class 10
(a) 60c (b) 70c
(c) 80c (d) 90c
5. A set of numbers consists of three 4’s, five 5’s, six 6’s, eight 8’s and seven 10’s. The mode of this set of
numbers is
(a) 6 (b) 7
(c) 8 (d) 10
6. TABC is an equilateral triangle with each side of length 2p . If AD = BC then the value of AD is
(a) 3 (b) 3p
(c) 2p (d) 4p
7. The quadratic equation x2 − 4x − 3 2 = 0 has
(a) two distinct real roots (b) two equal real roots
(c) no real roots (d) more than 2 real roots
8. From an external point P , tangents PA and PB are drawn to a circle with centre O . If CD is the tangent
to the circle at a point E and PA = 14 cm . The perimeter of TPCD is
(a) 14 cm (b) 21 cm
(c) 28 cm (d) 35 cm
9. (cos 4 A - sin 4 A) is equal to
(a) 1 - 2 cos2 A (b) 2 sin2 A - 1
(c) sin2 A - cos2 A (d) 2 cos2 A - 1
10. An observer, 1.5 m tall is 20.5 away from a tower 22 m high, then the angle of elevation of the top of the
tower from the eye of observer is
(a) 30c (b) 45c
(c) 60c (d) 90c
11. Which of the following relationship is the correct?
(a) P (E ) + P (E ) = 1 (b) P (E ) − P (E ) = 1
(c) P (E ) = 1 + P (E ) (d) None of these
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, CBSE Maths Class 10 Sample Paper 01 Page 3
12. The pair of equations x = a and y = b graphically represents lines which are
(a) parallel (b) intersecting at (b, a)
(c) coincident (d) intersecting at (a, b)
13. A tree casts a shadow 15 m long on the level of ground, when the angle of elevation of the sun is 45c. The
height of a tree is
(a) 10 m (b) 14 m
(c) 8 m (d) 15 m
14. From a solid circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the
same height and same base is removed, then the volume of remaining solid is
(a) 280 πcm3 (b) 330 πcm3
(c) 240 πcm3 (d) 440 π cm3
15. If median is 137 and mean is 137.05, then the value of mode is
(a) 156.90 (b) 136.90
(c) 186.90 (d) 206.90
16. If the circumference of a circle increases from 4 π to 8 π , then its area is
(a) halved (b) doubled
(c) tripled (d) quadrupled
17. A chord of a circle of radius 10 cm, subtends a right angle at its centre. The length of the chord (in cm) is
(a) 5 (b) 5 2
2
(c) 10 2 (d) 10 3
18. If a number x is chosen at random from the numbers - 2, - 1, 0, 1, 2 . Then, the probability that x2 1 2
is
(a) 2 (b) 4
5 5
(c) 1 (d) 3
5 5
19. Assertion : The value of sin θ = 43 is not possible.
Reason : Hypotenuse is the largest side in any right angled triangle.
(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.
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