CBSE Class 10 Mathematics Sample Paper 2015 Set 13

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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

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Review model practice papers for Class 10 Mathematics. Working through the CBSE Class 10 Mathematics Sample Paper 2015 Set 13 under simulated test conditions at home ensures complete familiarity with upcoming school evaluations.

Key Advantages of Solving CBSE Class 10 Mathematics Sample Paper 2015 Set 13

  • Curriculum Insights: Clarify chapter-wise weightage rules and question trends across Class 10.
  • Gap Analysis: Check performance drops across sets to isolate specific Class 10 Mathematics topics needing extra attention.
  • Time Efficiency: Working through objective and descriptive problems builds critical pacing to finish exams comfortably.

Steps to Follow After Completing CBSE Class 10 Mathematics Sample Paper 2015 Set 13

  1. Review Solutions: Evaluate your completed papers using expert-verified guidance inside our solution sets.
  2. Target Weaknesses: Class 10 students should analyze missed questions to rectify conceptual misunderstandings.
  3. Deep Revision: Re-read sections in the NCERT book for Class 10 Mathematics to clear doubts before solving items again.

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