CBSE Class 10 Mathematics Sample Paper 2015 Set 13

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Welcome! Check out the CBSE Class 10 Mathematics Sample Paper 2015 Set 13 right here, created by experienced teachers to match modern 2026-27 academic rules from CBSE, NCERT, and KVS. Get free Class 10 Mathematics sample papers with complete solutions to help you practice and check your scores based on updated marking schemes.

Model Papers: Class 10 Mathematics (CBSE)

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. Which of the following is a solution of the equation 2x2+x-6=0?

(a)x=2

(b)x=-12

(c)x=3/2

(d)x=-3


2. The sum of first five multiples of 3 is

(a)45

(b)65

(c)75

(d)90


3. The length of the tangent drawn from a point 8cm away from the centre of a circle of radius 6cm is 

(a) √7 cm

(b) 2 √7 cm

(c)10cm

(d)5cm


4. If the angle of elevation of top of a tower from a point at a distance of 100m from its foot is 600 then the height of the tower is

(a) 50√3 m

(b) 200/ √3m

(c)  100/ √3m

(d)100√3 m


5. A card is drawn from a deck of playing cards.The probability of drawing a red face card is

(a)26/1

(b) 26/3

(c) 26/4

(d)13


6. One end of a diameter of a circle is at (2,3) and centre is(-2,5) what are the coordinates of the other end of this diameter

(a)(-6,7) 

(b)(6,-7) 

(c)(6,7) 

(d)-6,-7)

 

7. AOBC is a rectangle whose three vertices are A(0,3) O(0,0) B(5,0).The length of its diagonal is

 

(a)5
(b)3
(c)√34
(d)4

 

8. A metallic sphere of total volume π is melted and recast into the shape of a right circular cylinder of radius 1cm .what is the height of cylinder.

 

(a)1cm
(b)2cm
(c)3cm
(d)4cm

 

Section B

 

9. Find the roots of the equation 6x2-x-2=0.

 

10. What point on the x-axis is equidistant from(7,6) and (-3,4)?

 

11. If the perimeter of a protractor is 72cm calculate its area?(π =22/7)

 

12. A rectangular sheet of paper 44cm x 18cm is rolled along its length and a cylinder is formed. Find its volume. ( π=22/7)

 

Section C

 

13. Find the sum of first 25 terms of an A.P whose nth term is 2-3n

 

14. The sum of the areas of two squares is 640sqm.If the difference of their perimeters be 64m find the sides of the squares.

 

15. Find the roots by completing the square method:2x2-7x+3=0.

 

16. Draw ABC with BC=6cm , ∠ B=600, ∠ C=450. Construct another triangle whose sides are 2/3 of corresponding sides of ABC.

 

17. Prove that the parallelogram circumscribing a circle is a rhombus.

 

28. Two poles of equal heights are standing opposite to each other on either side of a road which is 80m wide .From a point between them on the road ,angles of elevation of their tops are 300and 600.Find the heights of the poles.

 

19. From 30 tickets marked with numbers 2 to 31, one ticket is drawn at random;
find the probability that it is;(a)a multiple of 7 (b)an even number(c)a prime number .

 

20. . Prove that the points (0,0) and (5,5),(-5,5) are the vertices of an isosceles right triangle .

 

21. Metallic spheres of radii 6cm,8cm,10cm are melted to form a solid sphere. Find the radius of the resulting sphere.

 

22. Water in a canal 6m wide and 1.5m deep is flowing with a speed of 10km/hr. How much area will it irrigate in 30min,if 8cm of standing water is needed?


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Exam Preparation Sample Paper for Class 10 Mathematics CBSE Class 10 Mathematics Sample Paper 2015 Set 13

How to download CBSE Class 10 Mathematics Sample Paper 2015 Set 13 in PDF?

Easily download the CBSE Class 10 Mathematics Sample Paper 2015 Set 13 online to strengthen your final preparations. Mastering the official paper structure is vital for Class 10 students seeking higher marks. We recommend solving these updated Mathematics sample papers to practice anticipated question formats. Download the PDF format for flexible offline drills, ensuring you practice under true test conditions.

Why Practice Class 10 Mathematics Model Papers?

  • Exclusive Questions: Explore novel practice items for Mathematics designed to challenge your understanding.
  • Syllabus Mapping: Learn chapter priorities and question styles prevalent in current Class 10 guidelines.
  • Performance Review: Analyze test results to isolate difficult areas in Class 10 Mathematics for remedial study.
  • Speed Enhancement: Solving mixed format questions for Class 10 Mathematics guarantees improved speed and timely paper completion.

Maximizing Results After Solving CBSE Class 10 Mathematics Sample Paper 2015 Set 13

  1. Self-Evaluation: Score your answers using the official guidance found in the Mathematics Sample Paper PDF.
  2. Targeted Correction: Class 10 pupils must re-solve questions answered incorrectly to master the correct method.
  3. Core Review: Look up challenging questions inside the NCERT book for Class 10 Mathematics to build solid fundamentals.
  4. Regular Practice: Solve extra Mathematics sample modules online to maximize preparedness for upcoming CBSE evaluations.

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Are solutions provided for CBSE Class 10 Mathematics Sample Paper 2015 Set 13?

Yes, CBSE Class 10 Mathematics Sample Paper 2015 Set 13 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 2015 Set 13 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.

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