Read and download the CBSE Class 10 Mathematics Sample Paper Set Q, designed by expert teachers according to the latest 2025-26 curriculum and examination pattern issued by CBSE, NCERT, and KVS. These Class 10 Mathematics sample papers include detailed step-by-step solutions, helping students to practice and evaluate their performance against the most recent marking schemes.
Solved Sample Paper for Class 10 Mathematics PDF
Our Class 10 Mathematics model papers are important for understanding the weightage of different chapters and the difficulty level of expected questions. By solving these guess papers Class 10 students can identify weak areas and improve time management. We also suggest referring to our Class 10 Mathematics Question Papers of previous years to further strengthen your exam preparation.
Class 10 Mathematics Sample Paper with Solutions
SECTION – A
1. The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then the other number is
(a) 20
(b) 28
(c) 60
(d) 80
Answer: D
2. When 2120 is expressed as the product of its prime factors we get
(a) 2 × 5³ × 53
(b) 2³ × 5 × 53
(c) 5 × 7² × 31
(d) 5² × 7 × 33
Answer: B
3. If p and q are the zeroes of the quadratic polynomial f(x) = 2x2 – 7x + 3, find the value of p + q – pq is
(a) 1
(b) 2
(c) 3
(d) None of these
Answer: B
4. The pair of linear equations 2x + 3y = 5 and 4x + 6y = 10 is
(a) inconsistent
(b) consistent
(c) dependent consistent
(d) none of these
Answer: C
5. Points A(3, 1), B(5, 1), C(a, b) and D(4, 3) are vertices of a parallelogram ABCD. The values of a and b are respectively
(a) a = 6, b = 3
(b) a = 2, b = 1
(c) a = 4, b = 2
(d) None of these
Answer: A
6. If ΔABC ∼ ΔDEF, BC = 3 cm, EF = 4 cm and area of ΔABC = 54 cm2. Then the area of ΔDEF is
(a) 54 cm2
(b) 88 cm2
(c) 96 cm2
(d) 108 cm2
Answer: C
7. If sec A = 15/7 and A + B = 90°, find the value of cosec B.
(a) 8/7
(b) 12/7
(c) 7/15
(d) 15/7
Answer: D
8. In ΔABC, right angled at B, AB = 5 cm and sin C = 1/2. Determine the length of side AC.
(a) 10 cm
(b) 15 cm
(c) 20 cm
(d) none of these
Answer: A
9. In the ΔABC, D and E are points on side AB and AC respectively such that DE || BC. If AE = 2 cm, AD = 3 cm and BD = 4.5 cm, then CE equals
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm
Answer: C
10. ABCD is a trapezium with AD ∥ BC and AD = 4cm. If the diagonals AC and BD intersect each other at O such that AO/OC = DO/OB =1/2, then BC =
(a) 6cm
(b) 7cm
(c) 8cm
(d) 9cm
Answer: C
11. If the angle between two radii of a circle is 140°, then the angle between the tangents at the ends of the radii is
(a) 90°
(b) 50°
(c) 70°
(d) 40°
Answer: D
12. The number of revolutions made by a circular wheel of radius 0.7 m in rolling a distance of 176 m is
(a) 22
(b) 24
(c) 75
(d) 40
Answer: D
13. The area of the square that can be inscribed in a circle of radius 8 cm is
(a) 256 cm²
(b) 128 cm²
(c) 64√2 cm²
(d) 64 cm²
Answer: B
14. The ratio of the total surface area to the lateral surface area of a cylinder with base radius 80 cm and height 20 cm is
(a) 1 : 2
(b) 2 : 1
(c) 3 : 1
(d) 5 : 1
Answer: D
15. The mean and mode of a frequency distribution are 28 and 16 respectively. The median is
(a) 22
(b) 23.5
(c) 24
(d) 24.5
Answer: C
16. The median class of the following data is: 
(a) 20 – 30
(b) 30 – 40
(c) 40 – 50
(d) 50 – 60
Answer: B
17. Two dice are thrown simultaneously. What is the probability of getting doublet?
(a) 1/36
(b) 1/6
(c) 5/6
(d) 11/36
Answer: B
18. If 4 tan θ = 3, then the value of 4sinθ - cosθ/4sinθ + cosθ is
(a) 1/2
(b) 1/3
(c) 1/4
(d) 1/5
Answer: A
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
19. Statement A (Assertion): The number 6n never end with digit 0 for any natural number n..
Statement R( Reason) : The number 9n never end with digit 0 for any natural number n.
(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.
Answer: B
20. Statement A (Assertion): The value of y is 6, for which the distance between the points P(2, – 3) and Q(10, y) is 10.
Statement R( Reason) : Distance between two given points A (x1, y1) and B (x2, y2) is given by AB = √(x2 - x1)2 + (y2 - y1)2
(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.
Answer: D
Please click the link below to download full pdf file for CBSE Class 10 Mathematics Sample Paper Set Q
| CBSE Class 10 Mathematics Basic 2024 Sample Paper Solved |
| CBSE Class 10 Mathematics Standard 2024 Sample Paper Solved |
Important Practice Resources for Class 10 Mathematics
How to download CBSE Class 10 Mathematics Sample Paper Set Q in PDF?
Students can easily download the CBSE Class 10 Mathematics Sample Paper Set Q from our website to prepare for their upcoming examinations. To score high marks, it is important for Class 10 students to understand the exaact pattern as per which teachers design the question papers. We strongly suggest that you practice these latest sample papers for Mathematics and solve different types of questions that are expected to come this year. You can downloadin PDF format so that you can practice offline. We also recommend that Class 10 students solve these papers actual exam conditions at home.
Why should you solve CBSE Class 10 Mathematics Sample Paper Set Q?
Practicing these model papers has several benefits for Class 10 students:
- New Question Bank: This set has fresh questions for Mathematics which are different from previous years.
- Exam Pattern Knowledge: Solving more sets will help you to understand the weightage of each chapter in Class 10 and also the type of questions asked.
- Identify Weak Areas: Comparing your score in each set to find out topics in Class 10 Mathematics for which you need hard work.
- Speed and Accuracy: Attempting MCQ questions and long-form problems for Class 10 Mathematics makes you faster and better and you will be able to finish your exam on time.
What should you do after solving CBSE Class 10 Mathematics Sample Paper Set Q?
- Check Your Work: Match your answers with the solutions given by our teachers in the Mathematics Sample Paper PDF.
- Learn from Mistakes: Class 10 students should focus on the questions which you solved incorrectly and understand the error.
- Revision: If you find a question difficult you shoul refer to NCERT book for Class 10 Mathematics to understand concepts and then try the question again.
- Continuous Practice: Solve multiple sets of Mathematics sample papers from studiestoday.com to build confidence before the CBSE exams.
You can download the complete PDF for CBSE Class 10 Mathematics Sample Paper Set Q for free from StudiesToday.com. Our resources for Class 10 Mathematics are updated for the latest academic session and follow the official exam pattern.
Yes, CBSE Class 10 Mathematics Sample Paper Set Q comes with detailed, teacher-verified solutions. We have provided step-by-step answers for Mathematics to help students of Class 10 understand correct methodology and marking scheme.
Practicing this Mathematics paper helps in time management and identifying important topics. For Class 10, solving mock papers is the best way to gain confidence and reduce exam-day anxiety.
Yes, all our study materials for Class 10 Mathematics are provided in a mobile-friendly PDF format. You can easily download CBSE Class 10 Mathematics Sample Paper Set Q on your mobile device.