CBSE Class 10 Mathematics Sample Paper 2013 Set N

Read and download the CBSE Class 10 Mathematics Sample Paper 2013 Set N, 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

Q1. If the area of a circle is 301.84 cm2, then its circumference is 

(a) 4.6cm

(b) 9.8cm

(c) 61.6cm

(d) 59.4cm 


Q2. A letter is chosen at random from the word “PROBABILITY”. The probability that it is a vowel is 

(a) 1/11

(b) 2/11

(c) 3/11

(d) 4/11 


Q3. If the length of a shadow cast by a pole is 3 times the length of the pole, then the angle of elevation of the sun is 

(a) 45°

(b) 30°

 (c) 60° 

(d) 90° 


Q4. The mid-point of the line segment joining P(-2,8) and Q(-6,-4) is 

(a) (-4,2)

(b) (4,2)

(c) (4,-2)

(d) (-4,-2) 


Q5. In given figure, the length of BC is 

CBSE Class 10 Mathematics Sample Paper 2013 Set N

(a) 4 units

(b) 6 units

(c) 8 units

(d) 10 units 


Q6. A spherical steel ball is melted to make 8 new identical balls. Then the radius of each new ball is how much times the radius of the original ball? 

(a) 1/2

(b) 1/3

(c) 1/4

(d) 1/8 


Q7. If 1/2 is a root of the equation x2+kx -5/4 =0, then the other root of the quadratic equation is 

(a)- 5/2

(b) -2

(c) 1/4

(d) 1/2 


Q8. If the sum of n terms of an AP is 3n2+n and its common difference is 6, then its first term is 

(a) 2

(b) 3

(c) 1

(d) 4 


Q9. The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6)is 

(a) 5x-4y+1=0

(b) 5x+4y+1=0

(c) -5x+4y+1=0

(d) -5x-4y+1=0 


Q10. A largest sphere is carved out of a cube of side 7cm. The volume of the sphere is 

(a) 179.67 cu.cm

(b) 180.5 cu.cm

(c) 182 cu.cm

(d) 176.42 cu.cm

 

SECTION B

 

Q11. Find the roots of the equation 6x2 - √2x – 2 = 0 by the factorization of the corresponding quadratic polynomial. 
 
Q12. AB is the chord of circle with centre O, BC is the tangent at B as shown in the given figure. Show that<PBC= <BAP. 
 
Q13. What is the probability that a number selected from the numbers 1,2,3,….,25 is a prime number, when each of the given numbers is equally likely to be selected? OR, 
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.

Q14. Find the sum of the first 20 terms of the AP: -6, 0 ,6 ,12,…….. 

 
Q15. If a,b,c are the lengths of the sides of a right triangle, where c is the hypotenuse, then  prove that the radius, r, of the circle which touches the sides of the triangle is given by r = (a + b – c ) /2 
 
Q16. Find the area of triangle whose vertices are (2,3),(-1,0) and (2,-4). 
 
Q17. A wheel has diameter


Please click the link below to download full pdf file for CBSE Class 10 Mathematics Sample Paper 2013 Set N

How to download CBSE Class 10 Mathematics Sample Paper 2013 Set N in PDF?

Students can easily download the CBSE Class 10 Mathematics Sample Paper 2013 Set N 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 2013 Set N?

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 2013 Set N?

  1. Check Your Work: Match your answers with the solutions given by our teachers in the Mathematics Sample Paper PDF.
  2. Learn from Mistakes: Class 10 students should focus on the questions which you solved incorrectly and understand the error.
  3. 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.
  4. Continuous Practice: Solve multiple sets of Mathematics sample papers from studiestoday.com to build confidence before the CBSE exams.
Where can I download the PDF for CBSE Class 10 Mathematics Sample Paper 2013 Set N?

You can download the complete PDF for CBSE Class 10 Mathematics Sample Paper 2013 Set N for free from StudiesToday.com. Our resources for Class 10 Mathematics are updated for the latest academic session and follow the official exam pattern.

Are solutions provided for CBSE Class 10 Mathematics Sample Paper 2013 Set N?

Yes, CBSE Class 10 Mathematics Sample Paper 2013 Set N 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.

How can practicing CBSE Class 10 Mathematics Sample Paper 2013 Set N help in exam preparation?

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.

Is the CBSE Class 10 Mathematics Sample Paper 2013 Set N accessible on mobile and tablets?

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 2013 Set N on your mobile device.