CBSE Sample Paper Class 10 Maths with Solution 2025 PDF Released

The CBSE Sample Paper Class 10 Maths with Solution 2025 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 on March 10, 2025. 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 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 2025 PDF

The CBSE Sample Paper Class 10 Maths with Solution 2025 PDF  helps students prepare for their final exam by covering key topics like algebra, geometry, and statistics. It familiarizes them with the exam format, marking scheme, and question types. The theory exam is 80 marks, and the practical is 20 marks, with a total duration of 3 hours. Regular practice improves problem-solving skills, speed, and time management, boosting confidence and performance.

CBSE Class 10 Date Sheet 2025: Click to Check

Class 10 Maths Sample Paper 2024-25 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 CBSE Class 10 sample paper 2024-25 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 Sample Paper 2024-25: Click to Check

Previous Year’s Class 10 Maths Sample Paper PDF With Solution

Students preparing for the CBSE Class 10 final exams in February 2025 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.

CBSE Class 10 Maths Exam Pattern 2025

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, that 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.

1. 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.
2. In Section B, Questions no. 21-25 are very short answer (VSA) type questions, carrying 02 marks each.
3. In Section C, Questions No. 26-31 are short answer (SA) type questions, carrying 03 marks each.
4. In Section D, Questions No. 32-35 are long answer (LA) type questions, carrying 05 marks each.
5. 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 2024-25

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.

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, 𝑎_n − 𝑎_n-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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