Marking Scheme link is given at every page.
CBSE EXAM 2025 30 Sets
Class : 10th
Sub : Maths Basic
How to see answers or marking scheme ?
Click above on Every page
If you are unable to click, please open this file using a PDF viewer in Google Drive.
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.
,CBBSE Maths Basic Class 10 Sample Paper 01 Page 1
Sample Paper 01
Class- X Exam - 2024-25
Mathematics - Basic
Time Allowed: 3 Hours Maximum Marks : 80
General Instructions :
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts of the values of 1, 1
and 2 marks each respectively.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions
of 2 marks has been provided. An internal choice has been provided in the 2marks questions of Section E
8. Draw neat figures wherever required. Take π = 227 wherever required if not stated.
Section - A
Section A consists of 20 questions of 1 mark each.
1. If α and β are the zeroes of the polynomial 2x2 − 13x + 6 , then α + β is equal to
(a) - 3 (b) 3
(c) 13 (d) - 13
2 2
2. The point on the x -axis which is equidistant from the points A (- 2, 3) and B (5, 4) is
(a) (0, 2) (b) (2, 0)
(c) (3, 0) (d) (- 2, 0)
3. The value of k for which the system of linear equations x + 2y = 3 , 5x + ky + 7 = 0 is inconsistent is
(a) - 14 (b) 2
3 5
(c) 5 (d) 10
4. The roots of the quadratic equation x2 − 0.04 = 0 are
(a) ! 0.2 (b) ! 0.02
(c) 0.4 (d) 2
5. 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) 8m (d) 15 m
,Page 2 Sample Paper 01 NODIA APP
6. A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240c. If another circle of the
area same as the sector is formed, then radius of the new circle is
(a) 79.5 cm (b) 81.5 cm
(c) 83.4 cm (d) 88.5 cm
7. The quadratic equation 2x2 − 5 x + 1 = 0 has
(a) two distinct real roots (b) two equal real roots
(c) no real roots (d) more than 2 real roots
8. If the common difference of an AP is 5, then what is a18 - a13 ?
(a) 5 (b) 20
(c) 25 (d) 30
9. TABC is an equilateral triangle with each side of length 2p . If AD = BC then the value of AD is
(a) 3 (b) 3 p
(c) 2p (d) 4p
10. In figure, O is the centre of circle. PQ is a chord and PT is tangent at P which makes an angle of 50c with
PQ+POQ is
(a) 130c (b) 90c
(c) 100c (d) 75c
11. If cos ^α + β h = 0 , then sin ^α - β h can be reduced to
(a) cos β
(b) cos 2β
(c) sin α
(d) sin 2α
12. The base radii of a cone and a cylinder are equal. If their curved surface areas are also equal, then the ratio of the
slant height of the cone to the height of the cylinder is
(a) 2 : 1 (b) 1 : 2
(c) 1:3 (d) 3 : 1
, CBBSE Maths Basic Class 10 Sample Paper 01 Page 3
13. In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the
class is
(a) 6 (b) 7
(c) 8 (d) 12
14. If a card is selected from a deck of 52 cards, then the probability of its being a red face card is
(a) 3 (b) 3
26 13
(c) 2 (d) 1
13 2
15. The point P on x -axis equidistant from the points A (- 1, 0) and B (5, 0) is
(a) (2, 0) (b) (0, 2)
(c) (3, 0) (d) (- 3, 5)
16. If one zero of the polynomial (3x2 + 8x + k) is the reciprocal of the other, then value of k is
(a) 3 (b) - 3
(c) 1 (d) - 1
3 3
17. If 3x + 4y : x + 2y = 9 : 4 , then 3x + 5y : 3x − y is equal to
(a) 4 : 1 (b) 1 : 4
(c) 7:1 (d) 1 : 7
18. The distance between the points (a cos θ + b sin θ, 0), and (0, a sin θ − b cos θ) is
(a) a2 + b2 (b) a2 - b2
(c) a2 + b2 (d) a2 - b2
19. Assertion : Sum of first 10 terms of the arithmetic progression - 0.5 , - 1.0, - 1.5 , .......... is 31.
Reason : Sum of n terms of an AP is given as Sn = n2 [2a + (n − 1) d ] where a is first term and d common
difference.
(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.
20. Assertion : When a positive integer a is divided by 3, the values of remainder can be 0, 1 or 2.
Reason : According to Euclid’s Division Lemma a = bq + r , where 0 # r 1 b and r is an integer.
(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.
Continue on next page....
CBSE EXAM 2025 30 Sets
Class : 10th
Sub : Maths Basic
How to see answers or marking scheme ?
Click above on Every page
If you are unable to click, please open this file using a PDF viewer in Google Drive.
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.
,CBBSE Maths Basic Class 10 Sample Paper 01 Page 1
Sample Paper 01
Class- X Exam - 2024-25
Mathematics - Basic
Time Allowed: 3 Hours Maximum Marks : 80
General Instructions :
1. This Question Paper has 5 Sections A-E.
2. Section A has 20 MCQs carrying 1 mark each
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with sub-parts of the values of 1, 1
and 2 marks each respectively.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2 Qs of 3 marks and 2 Questions
of 2 marks has been provided. An internal choice has been provided in the 2marks questions of Section E
8. Draw neat figures wherever required. Take π = 227 wherever required if not stated.
Section - A
Section A consists of 20 questions of 1 mark each.
1. If α and β are the zeroes of the polynomial 2x2 − 13x + 6 , then α + β is equal to
(a) - 3 (b) 3
(c) 13 (d) - 13
2 2
2. The point on the x -axis which is equidistant from the points A (- 2, 3) and B (5, 4) is
(a) (0, 2) (b) (2, 0)
(c) (3, 0) (d) (- 2, 0)
3. The value of k for which the system of linear equations x + 2y = 3 , 5x + ky + 7 = 0 is inconsistent is
(a) - 14 (b) 2
3 5
(c) 5 (d) 10
4. The roots of the quadratic equation x2 − 0.04 = 0 are
(a) ! 0.2 (b) ! 0.02
(c) 0.4 (d) 2
5. 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) 8m (d) 15 m
,Page 2 Sample Paper 01 NODIA APP
6. A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240c. If another circle of the
area same as the sector is formed, then radius of the new circle is
(a) 79.5 cm (b) 81.5 cm
(c) 83.4 cm (d) 88.5 cm
7. The quadratic equation 2x2 − 5 x + 1 = 0 has
(a) two distinct real roots (b) two equal real roots
(c) no real roots (d) more than 2 real roots
8. If the common difference of an AP is 5, then what is a18 - a13 ?
(a) 5 (b) 20
(c) 25 (d) 30
9. TABC is an equilateral triangle with each side of length 2p . If AD = BC then the value of AD is
(a) 3 (b) 3 p
(c) 2p (d) 4p
10. In figure, O is the centre of circle. PQ is a chord and PT is tangent at P which makes an angle of 50c with
PQ+POQ is
(a) 130c (b) 90c
(c) 100c (d) 75c
11. If cos ^α + β h = 0 , then sin ^α - β h can be reduced to
(a) cos β
(b) cos 2β
(c) sin α
(d) sin 2α
12. The base radii of a cone and a cylinder are equal. If their curved surface areas are also equal, then the ratio of the
slant height of the cone to the height of the cylinder is
(a) 2 : 1 (b) 1 : 2
(c) 1:3 (d) 3 : 1
, CBBSE Maths Basic Class 10 Sample Paper 01 Page 3
13. In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the
class is
(a) 6 (b) 7
(c) 8 (d) 12
14. If a card is selected from a deck of 52 cards, then the probability of its being a red face card is
(a) 3 (b) 3
26 13
(c) 2 (d) 1
13 2
15. The point P on x -axis equidistant from the points A (- 1, 0) and B (5, 0) is
(a) (2, 0) (b) (0, 2)
(c) (3, 0) (d) (- 3, 5)
16. If one zero of the polynomial (3x2 + 8x + k) is the reciprocal of the other, then value of k is
(a) 3 (b) - 3
(c) 1 (d) - 1
3 3
17. If 3x + 4y : x + 2y = 9 : 4 , then 3x + 5y : 3x − y is equal to
(a) 4 : 1 (b) 1 : 4
(c) 7:1 (d) 1 : 7
18. The distance between the points (a cos θ + b sin θ, 0), and (0, a sin θ − b cos θ) is
(a) a2 + b2 (b) a2 - b2
(c) a2 + b2 (d) a2 - b2
19. Assertion : Sum of first 10 terms of the arithmetic progression - 0.5 , - 1.0, - 1.5 , .......... is 31.
Reason : Sum of n terms of an AP is given as Sn = n2 [2a + (n − 1) d ] where a is first term and d common
difference.
(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.
20. Assertion : When a positive integer a is divided by 3, the values of remainder can be 0, 1 or 2.
Reason : According to Euclid’s Division Lemma a = bq + r , where 0 # r 1 b and r is an integer.
(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.
Continue on next page....
