CBSE Class 10 Maths Sample Paper 2025-26: The Central Board of Secondary Education (CBSE) has released the Class 10 Mathematics (Standard) Sample Question Paper 2025–26 with Marking Scheme on its official website. These CBSE sample papers are an important resource for students, as they provide a clear idea of the latest exam pattern and question paper format that will be followed in the upcoming half-yearly exams and the annual Class 10 board exam 2026. Along with the sample paper, the stepwise marking scheme has also been provided to help students understand the correct format of writing solutions and how marks are allotted during CBSE’s evaluation process. Students can download the CBSE Class 10 Maths (Standard) Sample Paper 2025–26 PDF with solutions (marking scheme) in both English and Hindi from the direct link shared in this article.
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CBSE Class 10 Maths Sample Paper 2025-26: Key Highlights
The CBSE Class 10 Mathematics (Standard) Sample Paper 2025–26 is designed as per the latest exam pattern and evaluation scheme. Below are the key details, including marks distribution, number of questions, and section-wise structure of the paper:
| Particulars | Details |
| Subject & Code | Mathematics Standard – Code No. 041 |
| Maximum Marks | 80 |
| Time Duration | 3 Hours |
| Total Questions | 38 (All compulsory) |
| Sections | 5 Sections from A to E
|
| Choice | Internal choice in select questions of Section B, C, D & E |
Also Check CBSE Class 10 Maths Syllabus 2025-2026 PDF
CBSE Class 10 Maths (Standard) Sample Paper 2025–26
Check and download the complete sample question paper below:
General Instructions:
Read the following instructions carefully and follow them:
1. This question paper contains 38 questions. All Questions are compulsory.
2. This Question Paper is divided into 5 Sections A, B, C, D and E.
3. In Section A, Question numbers 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, Question numbers 21-25 are very short answer (VSA) type questions, carrying 02 marks each.
5. In Section C, Question numbers 26-31 are short answer (SA) type questions, carrying 03 marks each.
6. In Section D, Question numbers 32-35 are long answer (LA) type questions, carrying 05 marks each.
7. In Section E, Question numbers 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. There is no overall choice. However, an internal choice in 2 questions 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. Take π = 22/7 wherever required if not stated.
10. Use of calculators is not allowed.
Section A
This section consists of 20 questions of 1 mark each.
1. If a=22×3x , b=22×3×5, c=22×3×7 and LCM (a,b,c)= 3780 , then x is equal to
(A) 1
(B) 2
(C) 3
(D) 0
2. The shortest distance (in units) of the point (2,3) from y -axis is
(A) 2
(B) 3
(C) 5
(D) 1
3. If the lines giv en 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. A quadrilateral ABCD is drawn to circumscribe a circle. If BC=7cm, CD=4cm and AD=3cm, then the length of AB is
(A) 3cm
(B) 4cm
(C) 6cm
(D) 7cm
5. If secθ + tanθ = x ,then secθ − tanθ will be
(A) x
(B) x2
(C) 2/x
(D) 1/x
6. Which one of the following is not a quadratic eq uation?
(A) (x +2)2 =2(x +3)
(B) x 2 +3x =(- 1)(1- 3x)2
(C) x3 - x 2 +2 x +1 =(x +1)3
(D) (x +2)(x +1)= x2+ 2x +3
7. Given below is the picture of the Olym pic rings made by taking five congruent circles of radius 1cm each, intersecting in such a way that the chord formed by joining the point of intersection of two circles is also of length 1cm.Total area of all the dotted regions (assuming the thickness of the rings to be negligible) is
(A) 4[π/12 - √3/4]cm2
(B) [π/6 - √3/4 ] cm2
(C) 4[π/6 - √3/4 ] cm2
(D) 8[π/6 - √3/4 ] cm2
For V isually Impaired candidates
The area of the circ le that can be inscribed in a square of 6 cm is
(A) 36πcm2
(B) 18 πcm2
(C) 12πcm2
(D) 9πcm2
8. 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
9. If 2sin5x = √3 ,0˚≤ x ≤90˚, then x is equal to
(A) 10˚
(B) 12˚
(C) 20˚
(D) 50˚
10. The sum of two numbers is 1215 and their HCF is 81, then the possible pairs of such numbers are
(A) 2
(B) 3
(C) 4
(D) 5
11. If the area of the base of a right circular cone is 51cm2 and it's volume is 85cm2, then the height of the cone is given as
(A) 5/6 cm
(B) 5/3cm
(C) 5/2cm
(D) 5cm
12. 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
13. The area (in cm2) of a sector of a circle of radius 21cm cut off by an arc of length
22cm is
(A) 441
(B) 321
(C) 231
(D) 221
14. If ∆ABC ~∆DEF, AB=6cm, DE=9cm, EF=6cm and FD=12cm, then the perimeter of
∆ABC is
(A) 28cm
(B) 28.5cm
(C) 18cm
(D) 23cm
15. 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
16. The points A(9,0), B(9, -6) ,C( -9,0) and D( -9,6) are the vertices of a
(A) Square
(B) Rectangle
(C) Parallelogram
(D) Trapezium
17. The median of a set of 9 distinct observation 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
18. The length of a tangent drawn to a circle of radius 9 cm from a point at a distance of 41cm from the centre of the circle is
(A) 40cm
(B) 9cm
(C) 41cm
(D) 50cm
DIRECTIONS: In the question number 19 and 20 , a stateme nt of Assertion (A) is followed by a statement of Reason (R) .
Choose the correct option :
(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 and reason (R) is no t 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.
19. Assertion (A): The number 5n cannot end with the digit 0, where n is a natural number
Reason (R): A number ends with 0, if its prime factorization contain s both 2 and 5
20. Assertion (A): If cosA + cos2A=1, then sin2A + sin4A =1
Reason (R): sin2A + cos2A =1
↓
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Download CBSE Class 10 Maths (Standard) Sample Paper 2025–26 PDF
The Central Board of Secondary Education (CBSE) has released the Class 10 Mathematics (Standard) Sample Paper 2025–26 with Marking Scheme in both English and Hindi. Students can download the PDFs from the direct links given below:
English Version
Download CBSE Class 10 Maths (Standard) Sample Paper 2025–26 PDF (English)
Download CBSE Class 10 Maths (Standard) Marking Scheme (Solutions) PDF (English)
Hindi Version
Download CBSE Class 10 Maths (Standard) Sample Paper 2025–26 PDF (Hindi)
Download CBSE Class 10 Maths (Standard) Marking Scheme (Solutions) PDF (Hindi)
How to Download CBSE Class 10 Maths Sample Paper 2026
The Central Board of Secondary Education (CBSE) has released the Class 10 Maths Sample Paper 2026 on its official website — cbseacademic.nic.in. Students can download the sample paper and marking scheme PDFs to understand the latest exam pattern, question format, and marking distribution.
Steps to Download:
- Visit the official CBSE academic website: cbseacademic.nic.in
- Click on the “Sample Question Paper” tab on the homepage.
- Select SQP 2025-2026 and then choose Class X.
- Look for Mathematics Standard or Mathematics Basic in the list, and click on the respective links to download the Sample Question Paper and Marking Scheme PDFs for each subject.
The CBSE Class 10 Mathematics (Standard) Sample Paper 2025-26 with Marking Scheme is a must-practice resource for all students aiming to score high in the upcoming school and board exams. Practicing this sample paper will help students get familiar with the real exam format, improve time management, and learn the step-wise method of presenting solutions to secure maximum marks.
CBSE Class 10 Maths Exam Pattern 2026
The CBSE Class 10 Maths Exam Pattern 2026 has been structured as per the latest CBSE guidelines to test students’ conceptual clarity, analytical thinking, and problem-solving skills. The Maths theory paper will be of 80 marks, and 20 marks will be allotted for internal assessment.
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:
| Section | Question Numbers | Question Type | Marks per Question | Total Marks |
| A | 1–18 | Multiple Choice Questions (MCQs) | 1 mark each | 20 |
| 19–20 | Assertion-Reason Based | 1 mark each | ||
| B | 21–25 | Very Short Answer (VSA) | 2 marks each | 10 |
| C | 26–31 | Short Answer (SA) | 3 marks each | 18 |
| D | 32–35 | Long Answer (LA) | 5 marks each | 20 |
| E | 36–38 | Case Study-Based Questions | 4 marks each (sub-parts: 1, 1, 2 marks) | 12 |
Choice: There is no overall choice in the paper. However, internal choices are provided in 2 questions each of Sections B, C, and D, and in all 2-mark questions of Section E.
CBSE Class 10 Maths Unit-Wise Weightage 2026
| Unit | Name | Marks |
| I | Number Systems | 6 |
| II | Algebra | 20 |
| III | Coordinate Geometry | 6 |
| IV | Geometry | 15 |
| V | Trigonometry | 12 |
| VI | Mensuration | 10 |
| VII | Statistics & Probability | 11 |
| Total |
| 80 |
Students are advised to refer to the CBSE Class 10 Maths Sample Paper 2026 to understand the exact question pattern, marking scheme, and important topics for effective preparation.
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