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

The Central Board of Secondary Education has recently published the CBSE Class 10th Maths Sample Paper 2024-25 on its official website https://www.cbse.gov.in/. Students who are appearing for the upcoming CBSE Class 10 board exams for the academic session 2024-25 can now check and download the CBSE Mathematics Sample Paper 2024-25 and start with their preparations. By practicing these sample papers, they can prepare better for their revision and board exams. To make it easier for students, a direct link to download the class 10th maths sample paper is provided in the article below. Start practicing now to boost your confidence for the exams.

CBSE Class 10 Maths Sample Paper 2024-25

The CBSE Class 10th Maths sample paper is a practice test designed to help students prepare for their final exam. It covers all important topics from the syllabus, including algebra, geometry, and statistics. By solving this paper, students can understand the exam pattern, marking scheme, and types of questions that may appear in the exam. The CBSE Class 10 Maths theory exam is worth 80 marks, with 20 additional marks for internal assessments. The Class 10 Mathematics exam will be descriptive, meaning students will need to write detailed answers. The Science exam will last for 3 hours. Both exams have a set pattern for which students should be prepared.

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 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

CBSE Class 10 Maths Sample Paper 2024-25 [Released] with Solutions PDF_3.1

(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

CBSE Class 10 Maths Sample Paper 2024-25 [Released] with Solutions PDF_4.1

(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

CBSE Class 10 Maths Sample Paper 2024-25 [Released] with Solutions PDF_5.1

(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

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