CBSE Class 10 Maths Sample Paper 2025 by Experts: Practice for Last Minute Revision

CBSE Class 10th Maths Board Exam 2025: The CBSE Class 10 Maths Standard exam is scheduled for March 10, 2025 (Monday). As an important subject, it plays a major role in boosting overall board exam scores. To help students prepare effectively, we provide the CBSE Class 10 Maths Sample Paper with Solutions. Designed by experts, this resource is ideal for last-minute revision and practising important questions. The solutions offer clarity on correct answers. Download the CBSE Class 10 Maths Paper PDF from the links below to strengthen your preparation and score well in the exam.

Check: 

CBSE Class 10 Mathematics Syllabus 2024-2025

Below is mentioned the unit-wise weightage for CBSE class 10 maths exam 2024-25:

Prominent Features of CBSE Class 10 Maths Sample Paper 2025

• Prepared by Experienced Faculty – Designed by subject experts to ensure quality and accuracy.
• Based on the Latest Syllabus and Exam Pattern – Aligned with the CBSE Class 10 Maths syllabus for 2025.
• Includes Important Questions – A valuable resource for practicing key topics and question types.
• Offers Additional Questions – Provides a variety of questions beyond those in the CBSE-issued sample paper.
• Comes with Solutions – Facilitates quick and effective revision by providing well-structured answers.
• Available in PDF Format – Easily downloadable for convenient access and offline practice.

CBSE Class 10 Maths Sample Paper 2025 with Solutions

Check and download the Class 10 Maths Standard Sample Paper with Solutions to Boost your preparation for the upcoming CBSE Class 10 Maths Exam 2025:

Section A

1. Findthe value of k for which the system of equations x + (k + l) y = 5 and (k + l) x + 9 y = 8k - 1 has infinitely many solutions

(a)  2

(b)  3

(c)  4

(d)  5

2. ∆ABC ~ ∆PQR. If AM and PN are altitude of ∆ABC and ∆PQR respectively and AB2 : PQ2 = 25 : 36, then AM : PN = --------

(a) 2 : 5 (b) 5 : 6 (c) 25 : 36 (d) 2 : 3

3.If the circumference of a circle increases from 2π to 4π, then its area becomes of the original area

(a) half (b) double (c) three times (d) four times

4.P (5,1), Q (1,4) and R (8,5) are the coordinates of the vertices of a triangle. Which of the following types of triangle will ∆PQR be

(a) equilateral triangle (b) scalene right angled triangle
(c) isosceles right angled triangle. (d) isosceles acute angled triangle.

5.A point (x y) is at a distance of 7 units from the origin. How many such points lie in the third quadrant?

(a)0

(b) 1

(c) 2

(d) Infinitely many

5. 

6. If the area of a sector of a circle is 20 of the area of the circle, then the angle at the centre is equal to

(a) 30˚ (b) 36˚ (c) 45˚ (d) 60˚

7. If –2 and 3 are the zeroes of quadratic polynomial x2 + (p + l) x + q, then p and q are ----- respectively.

(a) –7, 2 (b) –6, –2 (c) 2, 6 (d) –2, –6

8. If g – 1, g + 3 and 3g – 1 are in A.P, then find the value of g.

(a) 3 (b) 4 (c) 5 (d) 7

9. Two right circular cones have their heights in the ratio 1 : 3 and the radii in the ratio 3 : 1. What is the ratio of their volumes ?

(a) 1 : 3 (b) 2: 3 (c) 3 : 1 (d) 9 : 1

10. Find the 11th term from the end of the given progression 10, 7, 4, ………, –62.

(a) –32 (b) –16 (c) –25 (d) 0

11. In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C, and AB = 3DE. Then the two triangles are

(a)congruent but not similar (b) similar but not congruent
(c) neither congruent nor similar (d) congruent as well as similar

12. Statement A (Assertion): HCF of 26 and 91is 13 and the LCM is 182.

Statement R (Reason): As HCF(a,b) X (a x b) = LCM(a,b)

(a)Both Assertion (A) and (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

13. Assertion (A): The mid-point of a line segment divides it in ratio 1 : 1.

Reason (R): Three points are colinear if they lie on same straight line.

(a)Both Assertion (A) and (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

14. What is the HCF of the least prime number and the least composite number

(a) 1 (b) 2 (c) 3 (d) 4

15.

16. 

17. 

18. If mode and mean of a data set are given as 8 and 9 respectively, then the median of the data set is

(a)8.57 (b) 8.67 (c) 8.97 (d) 9.24

19. If the area of a sector of a circle is 2/20 of the area of the circle, then the angle at the centre is equal to

(a) 30˚ (b) 36˚ (c) 45˚ (d) 60˚

20. 

Section B

21. Solve for x and y : 71x + 37y = 253
37x + 71 y = 287

OR

Find value of x and y. 26x + 28y – 269 = 0 ; 28x + 26y – 271 = 0.

22. Volumes of two spheres are in the ratio 27 : 64, then find the ratio of their surface areas.

23. Prove that the tangents drawn from an external point to a circle are equal in length.

OR

Prove that the parallelogram circumscribing a circle is rhombus.

24.  A cow is tied to a peg at one corner of a rectangular shaped grass field of 20 m long and 16 m wide with a 14 m long rope. Find the area of that part the cow cannot graze.

25. Find a quadratic polynomial whose zeroes are (3 + √3 ) and (3 – √3 ).

Section-C

26. A sphere of diameter 12 cm is dropped in a right circular cylindrical vessel filled with water. If the sphere is completely submerged in the water, the water level in the 5 cylindrical vessel rises by 39 cm. Find the diameter of the cylindrical vessel.

OR

A wooden toy is in the shape of a cone standing on a hemisphere with both their radii being equal to 3 cm and the height of the cone is equal to 5 cm. Find the volume of the wood used.

27. A box contain 90 paper discs which are numbered from 1 to 90. There is only one number on a disc. If one disc is drawn at random from the box find the probability that it bears
(i).a two-digit number.
(ii).a perfect square number.
(ii). a number divisible by 5.

28.  Giventhat √3 is  Prove that 1 – 2 √3 is irrational.

29. 

30. 

Section- D

31. The ratio of 11^thterm to the 18^th term of an Arithmetic Progression (A.P) is 2 : 3. Find the ratio of sum of its first five terms to sum of its first 21 terms.

32.  Prove that, if a line segment is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. Using the above result, prove the following. In the given figure, DE ∥ BC and BD = CE. Prove that ∆ ABC is an isosceles triangle.

33. Ina construction site where multistorey buildings are constructing, structures of 2 towers (named as Kaveri and Ganga) are  They are on same horizontal line. The angle of elevation of the top of 24 m high Kaveri tower from the foot of Ganga tower is 60˚.The angle of elevation of top of Ganga tower from the foot of Kaveri tower is 30˚. What is the  distance  between  the  two  towers?  Find  the  height  of  Ganga  tower.

OR

A spherical balloon of radius r subtends an angle of 60˚ to its top for a viewer standing on ground. If the angle of elevation of its centre is 45˚ from the same point for the viewer, then find the height of the centre of the balloon from ground in terms of its radius.

34. Themonthly consumption of electric power of 68 consumers of a locality under Harippad Electricity office is shown in the following  Find the mode and median of the data.

OR

35. Themonthly consumption of electric power of 68 consumers of a locality under Harippad Electricity office is shown in the following  Find the mode and median of the data.

Section- E

36. India gate (formerly known asAll India war memorial) is located near Karthavya path (formerly Rajpath) at New Delhi. It stands as a memorial to 74187 soldiers of Indian Army, who gave their life in the first world war. This 42 m (Approx. 138 feet) tall structure was designed by Sir Edwin Lutyens in the style of Roman triumphal arches. A group  of  students  visited  India  gate  as  a  part  of  their  study  

• What is the angle of elevation if they are standing at a distance of 42 m away from the India Gate?
• They want to see the monument at an angle 60˚, then what will be the distance at which they should stand?
• If the altitude of the sun is 60˚, then find the height of vertical tower that cast its shadow of 20 m long.

OR

The ratio of length of a pillar to its shadow is 1 : √3 . Find the angle of elevation of sun.

37. A carpenter wants to make a 3 m long ladder having rungs (steps) 25 cm apart. The rungsdecrease uniformly in length from 45 cm at bottom to 25 cm at the  The top and bottom rungs are at a distance of 2.5 m. Answer the following questions. Assume there is no wastage of wood.

(i). Find the total number of rungs on the ladder.

(ii) Whatis the length of the middle rung?

(iii) Findthe length required for making the 

OR

Find the length required for the rungs.

38. The panchayat office (P) and School (s) are on the same street in a village. School and Library(L) building are also on a same street, but not the former  The co-ordinates of the three buildings are marked on a graph paper, by taking 1 unit = 500 m, as shown below. On the basis of given graph answer the following questions:

(i)Whatis the distance between Panchayat and school building?

(ii) Howfar is Library from the school?

(iii) What type of triangle is formed by joining positions of Panchayat, School and Library?

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Important links for Upcoming Exam

• CBSE Class 10 Most Repeated Questions for 2025 Exams
• CBSE Class 10 Maths CBQs Chapter-Wise PDFs
•  CBSE Class 10 Maths Mind Maps
• CBSE Class 10 Maths Deleted Syllabus