CBSE Class 10 Mathematics Sample Paper 2011 Set K

SECTION-A

1. In the A.P: 6, 9, 12, 15 ,….. the common difference is

a) 2

b) 3

c) 5

d) 4

2. If a sphere and a cone of height ‘h’ have same radius and same volume, then the ratio r : h is

a) 4:1

b) 1:4

c) 16:1

d) 1:16

3. The sum of the roots of y² + 6y + 5 = 0 is

a) 5

b) −3

c) 3

d) −12

4. If radius of a sphere is 8 cm , then its surface area (in cm³) is

a) 256 π 

b) 64 π

c) 192 π

d) 216 π

5. A tree 6 m tall casts a shadow 4 m long. At the same time, if a tower casts a shadow 10 m long , then the height of the tower is

a) 15 m

b) 10 m

c) 20 m

d) 30 m

6. The distance of (3, 4) from x – axis is …..units.

a) 3

b) – 4

c) −3

d) 4

7. If the angle between two radii of a circle is 130°, then the angle between the tangents at the end of the radii is

a) 30°

b) 40°

c) 50°

d) 60°

8. A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. The no of balls formed is

a) 16

b) 24

c) 32

d) 28

8. Out of 45 students participating in a competition , 25 are girls. The probability that the winner is a boy is

a) 5/9

b) 2/9

c) 4/9

d) 1/9

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