50. Simplify : ()() + ()() + ()()
51.a) A solid metallic sphere of radius 7 cm is cut into two
halves. Find the total surface area of the two hemispheres so
formed. b) The total surface area and the curved surface area of a
cone are 704 sq.cm and 550 sq.cm respectively. Find the slant
height of the cone.
52. a Evaluate: 2 1
1
12 3 4 38 3 6 3
a a
a a
b. Simplify: 8 2/33 ( ) .( )x y x y
c) Solve: 3
131332
y
53. Find the HCF of x3-8, x4+4x2+16, x3+2x2+4x.
54. Simplify: 44
3
88
7
22
4821py
ypy
ypy
ypy
55. a) Evaluate -: .
. b) Simplify: 4 15 + 56. a)Solve: + 1 = 3
b)The lateral surface area of the prism shown in the figure is
420 cm2. Find the measure of AC. 57.Solve: 22x+3 9.2x + 1 = 0 58.
Calculate the lateral surface area of given traingular prism.
59. Find the volume of given solid:
60. `Find the HCF of following expression given below:
9m2-4n2-4nr-r2, r2-4n2-9m2-12mn and 9m2 + 6mr+ r2 4n2
61. In the given adjoining figure, area of base of the cylinder
is 64 cm2 and the height of cylinder is 4 cm. If the volume of
solid is 320cm3, find the height of the solid.
1. a) Simplify:
b) Simplify:
+
2. a) Simplify: 5 24 +
b) Evaluate:
3. a) Solve: x 3 =
b) Solve: x 1 2 = 0 c) Find the lateral surface area of given
triangular prism.
4. Find HCF of: + , + , 5. Simplify:
+
6. If pqr = 1 then prove that:
+
+
= 7. Solve: + =
8. a) Simplify:(64x 27a) b)Simplify:232 + 2108 256 500
9. a) Solve: + 2y + 1 = 0 b)Find the volume of given triangular
prism.
10. a)A cone has curved surface area is 20cm and slant height is
5cm, find the radius. b)A solid metallic sphere of radius 7cm is
cut into two halves. Find the total surface area of the two
hemispheres so formed.
11. Find HCF of: + + , + , + +
A
B C
A'
B' C'
20 cm
6 cm
8 cm
23cm 43cm
5cm
3 cm
4cm
15cm
12. Solve:
= +
13. Simplify:
+
+
14. a) Simplify: 61
2
6666
n
nn
b) Evaluate: aaa xx 22 3 15. a) Solve: 525 xx
b) The area of lateral faces of prism shown in the figure is
288cm2. Find the measures of base side and the base area.
18. a) The total surface area of a cone is 4928 square cm. If
the sum of the radius and slant height of the cone is 32cm, find
the radius of its base.
b) Three spheres of diameters 6cm, 8cm and 10cm are melted and
formed a single sphere. Find the diameter of the sphere.
19. Calculate the total surface area of given adjoining solid
figure.
20. Find the HCF of; x2+5x+6, x2+3x+2, x2-4
21. Solve: 16116
414 x
x
22. Simplify: 443
22 xax
)a2(xx
x)4(a1
x)4(a1
23. Calculate the volume of the given solid.
24. a) Evaluate : ....
b) Simplify: 23x-5 . ax-2 = 2x-2 . a1-x
25. a) Solve: 25 35 = 52 7 b) Find the volume of the given
triangular prism.
26= a) If the volume of the cone is 1848 cm3 and its radius is
14 cm then find its height.
b) A cylindrical water tank contains 46200lt of water. If its
radius is 3.5m, find its height.
27. Find the L.C.M.1+4x+4x2-16x4, 1+2x-8x3-16x4
28= If p+q+r=0, then prove that:
+ + + + + + + + = 29. Simplify :
+
+
30. Given figure is a object composed of a cylinder and a cone.
If the height of the cylinder is 24cm, height of cone is 6cm and
the diameter of the base 14cm then find the volume of the solid
object.
31. a) The total surface area of a cone is 4928 square cm. If
the sum of the radius of the base and the slant height of the cone
is 32cm, find the radius of its base.
b) If the volume of a spherical object iscm, find its surface
area.
32. Find HCF of + , 33. If p+q+r=0, then prove that:
+
+
=
34. Simplify: () () + ()
35. If the height of the cylinder is 24cm, height of cone 6cm
and the diameter of the base 14cm, find the volume of the solid
object.
35. a)Solve for x: = 2 b) Evaluate:
36. a) Evaluate : 12
35.33.53
nn
nn
b) Simplify: 333 2505416 37. a) Solve: xx 71 b) Find the volume
of given prism. 38. a) If the volume of hemi-sphere is 19404cm,
find its radius b) A cone has radius of base is 12cm and slant
height is 13cm, find the
volume of the cone. 39. Find the LCM of ; + + , , + + 40. Solve:
. + =
A
B
C
D
E
F 20cm
8cm
6cm
12cm
66 cm14
cm
25 cm
70cm
75cm
26cm
24cm
6cm
14cm
6cm
24cm
14cm
6cm
10cm
