The CBSE Sample Paper Class 10 Maths with Solution 2026 PDF has been released by the CBSE Board at its official website. All the students who are studying in class 10th from CBSE Board-affiliated schools will be appearing for the Class 10 Mathematics Exam in February 2026. As there are only a few days left for the exam, all the students must now analyze their preparations by going through solving as many Class 10 Maths Sample Papers as possible. Also, the students can solve the CBSE Class 10 Mathematics Previous Year Question Paper to get a better understanding of the final exam paper.
CBSE Sample Paper Class 10 Maths with Solution 2026 PDF
The CBSE Class 10 Maths Sample Paper with Solutions 2026 PDF is a great resource for students to prepare for their final exams. It covers all the important topics such as algebra, geometry, and statistics, helping students revise in a structured way. By practicing with these papers, students can easily understand the exam pattern, marking scheme, and types of questions that are usually asked. The final exam is of 80 marks for theory and 20 marks for practicals, with a total duration of 3 hours. Regular practice not only sharpens problem-solving skills but also improves speed and time management. This boosts confidence and ensures better performance in the exam, making preparation easier and more effective.
Class 10 Maths Sample Paper 2025-26 PDF With Solution
CBSE Class 10th sample papers are important because they help students prepare for their final exams. By solving these papers, students get to know the CBSE Class 10 exam pattern, types of questions, and marking scheme. This practice helps them understand how to answer questions within the given time. It also boosts their confidence and reduces exam stress.
Overall, practicing the CBSE Class 10 sample paper 2025-26 helps students score better in their final exams. Class 10 students preparing for board exams can download the official Maths sample paper PDF using the link below. Practice the questions based on the CBSE pattern and refer to the solutions provided to improve your preparation and score better.
| CBSE Class 10th Maths Sample Paper 2025-26 With Solution | |
| Sample Paper PDF | Solution PDF |
| CBSE Class 10th Maths Sample Paper 2025-26 (Basic) | Click Here |
| CBSE Class 10th Maths Sample Paper 2025-26 (Standard) | Click Here |
Previous Year’s Class 10 Maths Sample Paper PDF With Solution
Students preparing for the CBSE Class 10 final exams in February 2026 should check their readiness. A great way to do this is by using last year’s Maths sample papers with solutions. These papers help students understand the question format and improve their problem-solving skills. Direct links to these sample papers are available in the table below. By clicking on the links, students can easily download and practice the papers, boosting their confidence and helping them prepare better for the actual exam.
| Previous Year’s Class 10 Maths Sample Paper PDF with Solution | |||
| Year | Subject | Sample Question Paper | Marking Scheme |
| 2023-24 | Mathematics (Basic) | Click Here | Click Here |
| Mathematics (Standard) | Click Here | Click Here | |
| 2022-23 | Mathematics (Basic) | Click Here | Click Here |
| Mathematics (Standard) | Click Here | Click Here | |
CBSE Class 10 Maths Exam Pattern 2026
The CBSE Class 10th Mathematics question paper will be divided into 05 different sections, namely Section A, Section B, Section C, Section D, and Section E. The Class 10th Mathematics question paper will consist of a total of 38 questions, which will be divided into 5 different sections. All questions are compulsory. However, an internal choice is provided in some questions. A student is expected to attempt only one of these questions.
- 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.
- In Section B, Questions no. 21-25 are very short answer (VSA) type questions, carrying 02 marks each.
- In Section C, Questions No. 26-31 are short-answer (SA) type questions, carrying 03 marks each.
- In Section D, Questions No. 32-35 are long-answer (LA) type questions, carrying 05 marks each.
- 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.
CBSE Class 10 Maths Sample Paper with Answers 2025-26
The CBSE Class 10 Maths Sample Paper with Answers is one of the best tools for students to prepare for their board exams. These papers are designed as per the latest exam pattern and help students understand the types of questions asked. By solving them, students can improve their speed, accuracy, and confidence for the final exam. The step-by-step answers provided make it easier to learn the right way of presenting solutions. Students can check the questions with detailed answers below and start their preparation in a smart and effective way to score higher marks.
Section A
Section A consists of 20 questions of 1 mark each
Q1. HCF OF (3³ × 5² × 2), (3² × 5³ × 2²) and (34 × 5 × 2³) is
(A) 450
(B) 90
(C) 180
(D) 630
Answer: B) 90
Q2. The system of linear equations represented by the lines l and m is
(A) consistent with a unique solution
(B) inconsistent
(C) consistent with three solutions
(D) consistent with many solutions
Answer: A) consistent with a unique solution
Q3. The value of k for which the quadratic equation kx² − 5𝑥 + 1 = 0 does not have a real solution, is
(A) 0
(B) 25/4
(C) 4/25
(D) 7
Answer: D) 7
Q4. The distance between the points (𝑎, 𝑏) and (−𝑎, −𝑏) is
(A) √𝑎² + 𝑏²
(B) 𝑎² + 𝑏²
(C) 2 √𝑎² + 𝑏²
(D) 4√𝑎² + 𝑏²
Answer: C) 2 √𝑎² + 𝑏²
Q5. In the given figure, PQ and PR are tangents to a circle centered at O. If ∠QPR=35∘ then ∠QOR is equal to
(A) 70∘
(B) 90∘
(C) 135∘
(D) 145∘
Answer: D) 145∘
Q6. If △ 𝐴𝐵𝐶 ∼△ 𝑃𝑄𝑅 such that 3AB = 2PQ and BC=10 cm, then length QR is equal to
(A) 10 cm
(B) 15 cm
(C) 20/3 cm
(D) 30 cm
Answer: B) 15 cm
Q7. If 3 cot 𝐴 =4, where 0° < 𝐴 < 90°, then sec 𝐴 is equal to
(A) 5/4
(B) 4/3
(C) 5/3
(D) 3/4
Answer: A) 5/4
Q8. In the given figure, 𝛥𝐵𝐴𝐶 is similar to
(A) 𝛥𝐴𝐸𝐷
(B) 𝛥𝐸𝐴𝐷
(C) 𝛥𝐴𝐶𝐵
(D) 𝛥𝐵𝐶𝐴
Answer: B) 𝛥𝐸𝐴𝐷
Q9. If H.C.F(420,189) = 21 then L.C.M(420,189) is
(A) 420
(B) 1890
(C) 3780
(D) 3680
Answer: C) 3780
Q10. The 4𝑡ℎ term from the end of the A.P −8, −5, −2, …,49 is
(A) 37
(B) 40
(C) 1
(D) 43
Answer: B) 40
Q11. In the given figure, if △ 𝑂𝐶𝐴 ∼△ 𝑂𝐵𝐷 then ∠𝑂𝐴𝐶 is equal to
(A) 58∘
(B) 55∘
(C) 128∘
(D) 52∘
Answer: D) 52∘
Q12. If the perimeter of a given triangle is 38 cm, then the length AP is equal to
(A)19 cm
(B) 5 cm
(C) 10 cm
(D)8 cm
Answer: B) 5 cm
Q13. 1−𝑡𝑎𝑛²30∘/1+𝑡𝑎𝑛²30∘ is equal to
(A) cos 60∘
(B) sin 60∘
(C) 1
(D) 𝑡𝑎𝑛²60∘
Answer: A) cos 60∘
Q14. The total surface area of a solid hemisphere of radius 𝑟 is
(A) 𝜋𝑟²
(B) 2𝜋𝑟²
(C) 3𝜋𝑟²
(D) 4𝜋𝑟²
Answer: C) 3𝜋𝑟²
Q15. Which of the following cannot be the probability of an event?
(A) 0.4
(B) 4%
(C) 0.04%
(D) 4
Answer: D) 4
Q16. The roots of quadratic equation 3𝑥 2 − 4√3𝑥 + 4 = 0 are
(A) not real
(B) real and equal
(C) rational and distinct
(D) irrational and distinct
Answer: B) real and equal
Q17. The following distribution shows the marks distribution of 80 students.
| Marks | Below 10 | Below 20 | Below 30 | Below 40 | Below 50 | Below 60 |
| No. of students | 2 | 12 | 28 | 56 | 76 | 80 |
The median class is
(A) 20-30
(B) 40-50
(C) 30-40
(D) 10-20
Answer: C) 30 – 40
Q18. A quadratic polynomial whose zeroes are 2/5 𝑎𝑛𝑑 −1/5 is
(A) 25𝑥² + 5𝑥 − 2
(B) 5𝑥² − 2𝑥 + 1
(C) 5𝑥² + 2𝑥 − 1
(D) 25𝑥² − 5𝑥 − 2
Answer: (D) 25𝑥² − 5𝑥 − 2
DIRECTION: In the question number 19 and 20, a statement 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 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.
Q19. Assertion(A): The sequence −1, −1 − 1, . . . , −1 is an AP.
Reason(R): In an AP, 𝑎n − 𝑎n-1 is constant where 𝑛 ≥ 2 and 𝑛 ∈ N
Answer: A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)
Q20. Assertion(A): (2 + √3)√3 is an irrational number.
Reason(R): Product of two irrational numbers is always irrational.
Answer: C) Assertion (A) is true but reason (R) is false.
Section B
Section B consists of 5 questions of 2 marks each.
Q21. A) 𝑃(𝑥, 𝑦) is a point equidistant from the points 𝐴(4,3) and 𝐵(3,4). Prove that 𝑥 − 𝑦 = 0.
OR
B) In the given figure, 𝛥𝐴𝐵𝐶 is an equilateral triangle. Coordinates of vertices A and B are (0,3) and (0, −3) respectively. Find the coordinates of points C.
Solution: A) 𝑃𝐴² = 𝑃𝐵²
⟹ (𝑥 − 4)² + (𝑦 − 3)² = (𝑥 − 3)² + (𝑦 − 4)²
⟹ 𝑥 = 𝑦 𝑜𝑟 𝑥 − 𝑦 = 0
OR
B) AB = 6 cm = AC
OC = √36 − 9 = 3√3 cm
Point C is (3√3, 0)
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