# CBSE Class 10 Mathematics Sample Paper 2015 Set D

Read and download PDF of CBSE Class 10 Mathematics Sample Paper 2015 Set D 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 Standard 10 which they need to study more to get better marks in Grade 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

## Mathematics Sample Paper Class 10 2015

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 Grade 10 exams. Please download CBSE Class 10 Mathematics Sample Paper 2015 Set D

### Mathematics Class 10 Sample Paper 2015

Multiple Choice Questions of one mark each:

1. The value of k for which equation (k – 1) x2 – 2kx + 2x + 1 = 0 has real and equal roots are:

a) 0, 3

b) 2, 1

c) 0, 34

d) 0, 1

2. If the 7 times the 7th term of A.P. is equal to 11 times its 11th term, then its 18th term is :

a) 7

b) 18

c) 0

d) 11

3. Which of the following statements is true?

a) The common point of a tangent and the circle is called the centre of the circle.

b) A secant of a circle intersects the circle in two distinct points.

c) We can draw only one tangent to a circle from a point in the exterior of the circle.

d) The tangents drawn at the end points of a chord are parallel.

P R

4. In figure 1 if O is the centre of a circle, PQ is a chord, And the tangent PR at P makes an angle of 500 with PQ Then ∠POQ is equal to:

a) 900

b) 1000

c) 750

d) 800 Q

5. The length of the tangent drawn from a point Q outside a circle is 16cm. If the diameter of the circle is 24 cm, then the distance of Q from the Centre of the circle is:

a) 10cm

b) 12 cm

c) 8 cm

d) 20 cm

6. To divide a line segment AB in the ratio 5:7, first a ray AX is drawn so that ∠BAX is an acute angle of them at equal distances points are marked on the ray AX such that the minimum number of these points is :

a) 8

b) 12

c) 10

d) 11

7. If the sum of the areas of two circle with radius R1 and R2 is equal to the area of a circle of radius R, then:

a) R12 + R22 = R2

b) R1 + R2 = R

c) R1 + R2 < R

d) R12 + R22 < R2

8. If perimeter of a circle is equal to that of a square, then the ratio of their areas is:

a) 22 : 7

b) 7 : 22

c) 14 : 11

d) 11 : 14

9. A pole 6m high casts a shadow 2√3m on the ground, then the elevation of the sun is:

a) 90

b) 30

c) 45

d) 60

10. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of heart. The number of outcomes favorable to E is:

a)13

b) 51

c) 3

d) 49

11. The equation x +√x-2 = 4 has

a) two real roots

b) only one real root

c) no real root

d) more than two roots

12. If 3, 4 + p, 7 – p are in A.P. then p must be equal to:

a) 0

b) 31

c) 31−

d) 32

13. From a point P which is at a distance of 5cm from the centre O of a circle of radius of 3cm, the pair of tangents PQ and PR are drawn to the circle. Area of Quadrilateral PQOR is:

a) 12 cm2

b) 15cm2

c) 20cm2

d) 24cm2

Please click the below link to access CBSE Class 10 Mathematics Sample Paper 2015 Set D

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