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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 themย 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 |
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.
- 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 2024-25
Section A
Section A consists of 20 questions of 1 mark each
Q1. HCF OF (3ยณ ร 5ยฒ ร 2), (3ยฒ ร 5ยณ ร 2ยฒ) and (3^{4} ร 5 ร 2ยณ) 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 kxยฒ โ 5๐ฅ + 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 (๐, ๐) and (โ๐, โ๐) is
(A) โ๐ยฒย + ๐ยฒ
(B) ๐ยฒย + ๐ยฒ
(C) 2 โ๐ยฒย + ๐ยฒ
(D) 4โ๐ยฒ + ๐ยฒ
Answer: C) 2 โ๐ยฒย + ๐ยฒ
Q5. In the given figure, PQ and PR are tangents to a circle centred at O. If โ QPR=35โ then โ QOR is equal to
(A) 70โ
(B) 90โ
(C) 135โ
(D) 145โ
Answer: D) 145โย
Q6. If โณ ๐ด๐ต๐ถ โผโณ ๐๐๐ 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 ๐ด =4, where 0ยฐ < ๐ด < 90ยฐ, then sec ๐ด is equal to
(A) 5/4
(B) 4/3
(C) 5/3
(D) 3/4
Answer: A) 5/4
Q8. In the given figure, ๐ฅ๐ต๐ด๐ถ is similar to
(A) ๐ฅ๐ด๐ธ๐ท
(B) ๐ฅ๐ธ๐ด๐ท
(C) ๐ฅ๐ด๐ถ๐ต
(D) ๐ฅ๐ต๐ถ๐ด
Answer: B) ๐ฅ๐ธ๐ด๐ทย
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 4๐กโ term from the end of the A.P โ8, โ5, โ2, โฆ ,49 is
(A) 37
(B) 40
(C) 1
(D) 43
Answer: B) 40ย
Q11. In the given figure, if โณ ๐๐ถ๐ด โผโณ ๐๐ต๐ท then โ ๐๐ด๐ถ is equal to
(A) 58โ
(B) 55โ
(C) 128โ
(D) 52โ
Answer: D) 52โย
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.ย 1โ๐ก๐๐ยฒ30โ/1+๐ก๐๐ยฒ30โ is equal to
(A) cos 60โ
(B) sin 60โ
(C) 1
(D) ๐ก๐๐ยฒ60โ
Answer: A) cos 60โ
Q14. The total surface area of solid hemisphere of radius ๐ is
(A) ๐๐ยฒ
(B) 2๐๐ยฒ
(C) 3๐๐ยฒ
(D) 4๐๐ยฒ
Answer: C) 3๐๐ยฒ
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 3๐ฅ 2 โ 4โ3๐ฅ + 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 – 40ย
Q18. A quadratic polynomial whose zeroes are 2/5 ๐๐๐ โ1/5 is
(A) 25๐ฅยฒย + 5๐ฅ โ 2
(B) 5๐ฅยฒย โ 2๐ฅ + 1
(C) 5๐ฅยฒย + 2๐ฅ โ 1
(D) 25๐ฅยฒย โ 5๐ฅ โ 2
Answer: (D) 25๐ฅยฒย โ 5๐ฅ โ 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 โ1, โ1 โ 1, . . . , โ1 is an AP.
Reason(R): In an AP, ๐_{n} โ ๐_{n-1} is constant where ๐ โฅ 2 and ๐ โ 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 + โ3)โ3 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.ย
Section B
Section B consists of 5 questions of 2 marks each.
Q21. A) ๐(๐ฅ, ๐ฆ) is a point equidistant from the points ๐ด(4,3) and ๐ต(3,4). Prove that ๐ฅ โ ๐ฆ = 0.
OR
B) In the given figure, ๐ฅ๐ด๐ต๐ถ is an equilateral triangle. Coordinates of vertices A and B are (0,3) and (0, โ3) respectively. Find the coordinates of points C.
Solution: A) ๐๐ดยฒ = ๐๐ตยฒ
โน (๐ฅ โ 4)ยฒ + (๐ฆ โ 3)ยฒย = (๐ฅ โ 3)ยฒ + (๐ฆ โ 4)ยฒ
โน ๐ฅ = ๐ฆ ๐๐ ๐ฅ โ ๐ฆ = 0
OR
B) AB = 6 cm = AC
OC = โ36 โ 9 = 3โ3 cm
Point C is (3โ3, 0)