CBSE Class 10 Maths Sample Paper 2024-25 [Released] with Solutions PDF

Mathematics subject is one of the most important subjects that a student needs to study and pass with high marks in class 10, but to prepare for maths exams students require multiple resources including sample papers. Therefore, to ensure that students have access to the best and original sample papers the CBSE board releases the latest and updated sample papers at its official website. Following this trend, the Central Board of Secondary Education has released the CBSE Class 10th Maths Sample Paper 2024-25 on its official website, i.e., https://www.cbse.gov.in/ which can easily be accessed following the simple steps elaborated below or by clicking on the direct links listed in the article.

CBSE Class 10 Maths Sample Paper 2024-25

The CBSE Class 10 Maths sample paper is a practice test designed to help students prepare for their final exam. It covers key topics such as algebra, geometry, and statistics. By working on this sample paper, students can understand the exam format, marking system, and the kinds of questions they may encounter.

The Maths theory exam is worth 80 marks, while internal assessments are worth 20 marks. The exam will include descriptive questions, so students must write detailed answers. The Science exam will also last for 3 hours. Both exams have a specific format, making it essential for students to practice and get ready for them effectively.

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 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. Sample papers help students identify their weak areas so they can work on improving them.

Overall, practicing CBSE Class 10 sample paper 2024-25 helps students score better in their final exams. All the Class 10th students who are preparing for the board exams can download the official Class 10 Maths Sample Paper PDF from the below link and practice the questions as per the pattern released by CBSE along with the solution.

CBSE Class 10th Maths Sample Paper 2024-25 With Solution
Sample Paper PDF	Solution PDF
CBSE Class 10th Maths Sample Paper 2024-25	Solution Link

CBSE Class 10th Sample Paper 2024-25: Click to Check

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

The previous year’s class 10 Maths Sample Paper PDF has been shared in the table before along with their marking scheme in the PDF form so that the students can check and download them by clicking on the direct links listed below.

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 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.

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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 unique solution

(B) inconsistent

(C) consistent with three solutions

(D) consistent with many solutions

Answer: A) consistent with 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 centred 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 perimeter of given triangle is 38 cm, then 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 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, 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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