CBSE Class 10 Mathematics Sample Paper 2015 Set M

Read and download PDF of CBSE Class 10 Mathematics Sample Paper 2015 Set M designed as per the latest curriculum and examination pattern for Class 10 issued by CBSE, NCERT and KVS. The latest Class 10 Mathematics Sample Papers have been provided with solutions so that the students can solve these practice papers and then compare their answers. This will help them to identify mistakes and improvement areas in Mathematics Class 10 which they need to study more to get better marks in Class 10 exams. After solving these guess papers also refer to solved Class 10 Mathematics Question Papers available on our website to build strong understanding of the subject

Sample Paper for Class 10 Mathematics Pdf

Students can refer to the below Class 10 Mathematics Sample Paper designed to help students understand the pattern of questions that will be asked in Class 10 exams. Please download CBSE Class 10 Mathematics Sample Paper 2015 Set M

Mathematics Class 10 Sample Paper

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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CBSE Class 10 Mathematics Sample Paper 2015 Set M

We hope you liked the above provided CBSE Class 10 Mathematics Sample Paper 2015 Set M. To get an understanding of the type of questions which were asked in exams, it is important for Class 10 students to understand the way sample Paper are set by teachers. Students can download the Sample Paper for Class 10 Mathematics which will be coming in the exams so that you can practise them and solve all types of questions that can be asked in exams. By doing CBSE Class 10 Mathematics Sample Paper 2015 Set M you will understand the regular questions and MCQ questions for Class 10 Mathematics which are always asked. You can download CBSE Class 10 Mathematics Sample Paper and Class 10 Mathematics Question Papers in PDF. You should attempt all the last year question paper for Class 10 and Class 10 Mathematics MCQ Test in examination conditions at home and then compare their answers with the solutions provided by our teachers.

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