CBSE Class 10 Maths Sample Paper 2026 by Experts: Practice for Last Minute Revision

CBSE Class 10th Maths Board Exam 2026: The CBSE Class 10 Maths exam is scheduled for February 17, 2025 (Tuesday). As a crucial subject, Maths significantly contributes to boosting overall board exam scores. To ensure students prepare effectively, we have made available a CBSE Class 10 Maths Sample Paper. This expert-designed resource is perfectly suited for last-minute revision and focused practice on important questions.

The provided sample paper is complete with solutions that offer clear explanations of the correct answers. Students are advised to download the CBSE Class 10 Maths Paper PDF using the links below. Utilizing this resource is an excellent way to strengthen your preparation and achieve high marks in the upcoming board examination.

Check: CBSE Class 10th Date Sheet 2026 Board Exam

CBSE Class 10 Maths Question Paper Pattern 2026

The question paper will contain 38 questions, all of which are compulsory. It will be divided into five sections — A, B, C, D, and E as described below:

Check CBSE Class 10 Maths Detailed Syllabus for Board Exam 2026

CBSE Class 10 Maths Unit-Wise Weightage 2026

Prominent Features of CBSE Class 10 Maths Sample Paper 2026

• 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 2026.

• 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.

Check CBSE Class 10 Maths Chapter-Wise MCQs

CBSE Class 10 Maths Sample Paper 2026

Check and download the Class 10 Maths sample Paper to Boost your preparation for the upcoming CBSE Class 10 Maths Exam 2026:

Section A

1. A pair of dice is tossed. The probability of not getting the sum eight is  

(A) 5/36                

(B) 31/36                 

(C) 5/18                  

(D) 5/9  

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 lines given by 3x +2ky =2 and 2x+5y +1=0 are not parallel, then k has to be  

(A) 15/4

(B) ≠15/4

(C) any rational number            

(D) any rational number having 4 as denominator

4.The median of a set of 9 distinct observations is 20.5. If each of the observations of a set is increased by 2,then the median of a new set  

(A) is increased by 2          

(B) is decreased by 2    

(C) is two times the original number     

(D) Remains same as that of original observations

5.If zeroes  of the quadratic polynomial ax2 + bx +c (a, c ≠0) are equal,  then

(A) c and b must have opposite signs         

(B) c and a must have opposite signs    

(C) c and b must have same signs            

(D) c and a must have same signs

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 the probability of the letter chosen at random from the letters of the word “Mathematics” to be a vowel is 2/(2x+1), then x is equal to  

(A) 4/11                  

(B) 9/4                   

(C) 11/4                      

(D) 4/9  

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. Prove that the parallelogram circumscribing a circle is rhombus.

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

OR

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

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. In a workshop, the number of teachers of English, Hindi and Science are 36, 60 and 84 respectively. Find the minimum number of rooms required, if in each room the same number of teachers are to be seated and all of them being of the same subject.

28.  Given that √3 proves that 1 – 2 √3 is irrational.

29.

30.

Section- D

31. The ratio of 11thterm to the 18th 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.  A train travels at a certain average speed for a distance of 63km and then travels at

a distance of 72km at an average speed of 6km/hr more than its original speed. If it

takes 3 hours to complete the total journey, what is the original average speed?

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. The monthly 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. In a class, the teacher asks every student to write an example of A.P. Two boys Aryan and Roshan writes the progression as −5, −2,1,4, …… and 187, 184, 181, …. respectively. Now the teacher asks his various students the following questions on progression. Help the students to find answers for the following: i. Find the sum of the common difference of two progressions. ii. Find the 34th term of progression written by Roshan. iii. 

(A) Find the sum of the first 10 terms of the progression written by Aryan. 

OR 

(B) Which term of the progressions will have the same value?

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 rungs decrease 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. A group of class X students goes to picnic during winter holidays. The position of three friends Aman, Kirti and Chahat are shown by the points P, Q and R

(i) Find the distance between P and R.

(ii) Is Q, the midpoint of PR? Justify by finding midpoint of PR.

(iii) (A) Find the point on x-axis which is equidistant from P and Q.

OR

(B) Let S be a point which divides the line joining PQ in ratio 2:3. Find the coordinates of S.

To download the complete question paper in the pdf format, click on the link below: 

Also Check

CBSE Class 10 Maths Important Questions (Chapter-wise) for Board Exam 2026

CBSE Class 10 Maths Case Study Based Questions with Answers

CBSE Class 10 Maths Assertion Reasoning Questions with Answers