CBSE Class 10 Mathematics Sample Paper 2015 Set L

Read and download the CBSE Class 10 Mathematics Sample Paper 2015 Set L, 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

1. The sum of roots of the quadratic equation 2x2 + 13x + 11 = 0 is

(a) –13

(b)-13/2

(c) 11/2

(d) –11


2. th term of the A.P. –5, –3, –1, ............. is

(a) 2n – 7

(b) 7 – 2n

(c) 2n + 7

(d) 2n + 1


3. In the given fig. P, Q and R are the points of contact. If AB = 6 cm,BP = 3 cm, then the perimeter of ΔABC is

CBSE Class 10 Mathematics Sample Paper 2013-14 SA 2 (3)

(a) 12 cm

(b) 18 cm

(c) 9 cm

(d) 15 cm


4. The tops of the two poles of height 8 m and 12 m are connected with wire. If wire makes an angle 30° with the horizontal, then the length of wire is–

(a) 10 m

(b) 12 m

(c) 8 m

(d) 4 m


5. The distance between the line y + 3 = 0 and 2y – 5 = 0 is–

(a) 8 unit

(b) 11/2 unit

(c) 6 unit

(d) 5 unit


6. The probability of a question calculated to be right is .x/12 If the probability of the question calculated not to be right is 2/3 then x = ........

(a) 2

(b) 3

(c) 4

(d) 6


7. If –9, –14, –19, ............... is an A.P. then the value of a30a20 is

(a) –50

(b) 50

(c) 10

(d) None of these


8. A right circular cylinder of height 45 cm and radius 4 cm is made by melting of spheres of radius 6 cm each. Find the number of spheres.

(a) 3

(b) 4

(c) 5

(d) 6


9. At any instant, the shadow of a pole is equal to its height, the angle of elevation of the sum is

(a) 30°

(b) 45°

(c) 60°

(d) 90°

 

10. The perimeter of triangle formed by the points (0, 0), (3, 0) and (0, 3) is 
(a) 6 unit 
(b) 9 unit 
(c) 2 (1 + √3 ) unit 
(d) 3 (2 + √2) unit

 

  
SECTION B

 

11. If the third term of an A.P. is 1 and 6th term is –11 then find its 15th term.

 

12. For what value of ‘m’ the roots of the quadratic equation : 4x2 + mx + 1 = 0 are real?

 

13. Two concentric circles are of radii 5 cm and 3 cm. Find the length of chord of the larger circle which touches the smaller circle.
                                    OR
In given Fig. find the radius of the circle.

CBSE Class 10 Mathematics Sample Paper 2013-14 SA 2 (3) 1

 

14. Three balls are made by melting a ball of radius 3 cm out of these three the radius of two balls are 1.5 cm and 2 cm respectively. Find the radiu of third ball.

 

15. The angle of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base and on the same straight line with it are complementary. Find the height of the tower.

 

16. Find a point on y-axis which is equidistant from the points (–2, 5) and (2, –3).

 

17. All kings, queens and jacks have been removed from a pack of cards and remaining cards are well shuffled. A card is drawn at random. Find the probability that it is–

 

(a) A face card. (b) A black card.


Please click the link below to download full pdf file for CBSE Class 10 Mathematics Sample Paper 2015 Set L

How to download CBSE Class 10 Mathematics Sample Paper 2015 Set L in PDF?

Students can easily download the CBSE Class 10 Mathematics Sample Paper 2015 Set L 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 2015 Set L?

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 2015 Set L?

  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 CBSE Class 10 Mathematics Sample Paper 2015 Set L in Pdf

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How can I improve my scores by solving CBSE Class 10 Mathematics Sample Paper 2015 Set L

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Yes, mock CBSE Class 10 Mathematics Sample Paper 2015 Set L are available in multiple languages, including English, Hindi