Class 9 Mathematics (NCERT)

1. The total surface area of a cuboid with length 'l', breadth 'b', and height 'h' is:

• A. 2(lb + bh + hl)
• B. lb + bh + hl
• C. 2h(l + b)
• D. lbh

2. The lateral surface area of a cube with edge length 'a' is:

• A. 6a²
• B. 4a²
• C. a³
• D. 2a²

3. The formula for the volume of a cylinder with radius 'r' and height 'h' is:

• A. πr²h
• B. 2πrh
• C. ⅓πr²h
• D. 2πr(r + h)

4. The curved surface area of a cone with radius 'r' and slant height 'l' is:

• A. πr²h
• B. πrl
• C. 2πrl
• D. πr(r + l)

5. The total surface area of a sphere of radius 'r' is:

• A. 2πr²
• B. 3πr²
• C. 4πr²
• D. ⁴/₃πr³

6. The curved surface area of a hemisphere of radius 'r' is:

• A. 2πr²
• B. 3πr²
• C. 4πr²
• D. πr²

7. The total surface area of a solid hemisphere of radius 'r' is:

• A. 2πr²
• B. 3πr²
• C. 4πr²
• D. πr²

8. The volume of a sphere of radius 'r' is:

• A. ⁴/₃πr³
• B. ⅔πr³
• C. 4πr²
• D. ⅓πr²h

9. If the edge of a cube is 6 cm, its volume is:

• A. 36 cm³
• B. 216 cm³
• C. 144 cm³
• D. 108 cm³

10. The volume of a cone with radius 'r' and height 'h' is equal to what fraction of a cylinder's volume of same radius and height?

• A. ½
• B. ⅓
• C. ¼
• D. ⅔

11. Relation between radius 'r', height 'h', and slant height 'l' of a cone is:

• A. l² = r² + h²
• B. l = r + h
• C. h² = l² + r²
• D. r² = l² + h²

12. If the radius of a sphere is doubled, its volume becomes how many times?

• A. 2 times
• B. 4 times
• C. 6 times
• D. 8 times

13. If the radius of a sphere is doubled, its surface area becomes how many times?

• A. 2 times
• B. 4 times
• C. 8 times
• D. 16 times

14. The radius of a cylinder is 7 cm and height is 10 cm. Its curved surface area is (take π = 22/7):

• A. 220 cm²
• B. 440 cm²
• C. 1540 cm²
• D. 880 cm²

15. The volume of a cylinder with radius 7 cm and height 10 cm is:

• A. 154 cm³
• B. 1540 cm³
• C. 440 cm³
• D. 3080 cm³

16. The length, breadth, and height of a room are 5 m, 4 m, and 3 m respectively. Area of 4 walls is:

• A. 54 m²
• B. 60 m²
• C. 74 m²
• D. 94 m²

17. Volume of a hemisphere of radius 3 cm is (take π = 22/7):

• A. 18π cm³
• B. 36π cm³
• C. 27π cm³
• D. 54π cm³

18. The total surface area of a cube is 96 cm². The length of its edge is:

• A. 2 cm
• B. 4 cm
• C. 6 cm
• D. 8 cm

19. Standard unit of volume is:

• A. m²
• B. m³
• C. m
• D. cm²

20. 1 liter is equal to how many cubic centimeters?

• A. 100 cm³
• B. 1000 cm³
• C. 10000 cm³
• D. 10 cm³

21. The length of the longest rod that can be placed in a room of dimensions 10 m × 10 m × 5 m is:

• A. 12 m
• B. 15 m
• C. 18 m
• D. 20 m

22. If radius of a cone is 3 cm and height is 4 cm, its slant height is:

• A. 5 cm
• B. 7 cm
• C. 25 cm
• D. 6 cm

23. Total surface area of a cylinder with radius 'r' and height 'h' is:

• A. 2πrh
• B. 2πr(r + h)
• C. πr(r + h)
• D. 2πr²h

24. The ratio of volumes of two spheres is 64 : 27. The ratio of their radii is:

• A. 16 : 9
• B. 4 : 3
• C. 2 : 1
• D. 8 : 3

25. The diameter of a sphere is 14 cm. Its surface area is:

• A. 154 cm²
• B. 616 cm²
• C. 308 cm²
• D. 1232 cm²

26. A right circular cone has radius 6 cm and slant height 10 cm. Its height is:

• A. 4 cm
• B. 8 cm
• C. 16 cm
• D. 12 cm

27. Area of the base of a right circular cylinder is 154 cm² and its height is 10 cm. Its volume is:

• A. 1540 cm³
• B. 770 cm³
• C. 3080 cm³
• D. 154 cm³

28. Two cubes each of volume 64 cm³ are joined end to end. The surface area of resulting cuboid is:

• A. 160 cm²
• B. 128 cm²
• C. 160 cm³
• D. 80 cm²

29. The radius of a hemispherical balloon increases from 6 cm to 12 cm. The ratio of their surface areas is:

• A. 1 : 2
• B. 1 : 4
• C. 1 : 8
• D. 1 : 3

30. Total surface area of a cone of radius 'r' and slant height 'l' is:

• A. πr(l + r)
• B. πr²l
• C. 2πr(l + r)
• D. πrl + 2πr