Download Maths Model Paper

SECTION III – MATHEMATICS
Max. Marks -35
Direction:For every question, four probable answers bearing numbers 1,2,3,4 are given. Only one out of
these is correct. You have to choose the correct answer and encircle the number given by its side.
Q20. The square root of 0.0625 is
(1)0.25
(2) 0.025
(3) 0.0025
(4) 2.5
Q21. The value of
is
(1)
(2) 8
(3)
(4) 80
Q22. A metallic cuboid of dimension 9cm x 6cm is melted to form a cube. The side of the cube is
(1) 216cm
(2) 36cm
(3) 6cm
(4) 60cm
Q23. By which smallest number 2187 may be divided so that it becomes a perfect cube.
(1) 2
(2) 3
(3) 5
(4) 7
Q24. The simplification of
(1)
Q25. If
is
(2)
= 1.732 and
(1) 0.318
(3)
= 1.414, the value of
is
(2)
Q26. The value of 4x2+9y2+12xy is
(1) 0
(2)
Q27. Of a2 +
= 7, the value of a +
(4)
(3) 3.146
(4)
(3) 1
(4) 49
is
(1)
(2) 3
(3) +9
(4) None of these
Q28. The product of (x+a) and (x+b) is
(1) x2+(a+b)x+ab
(2) x2-(a+b)x+ab
(3) x2+(a-b)x+ab
(4) x2+(a+b)x-ab
2
Q29. The factorization of x -9x+20 is
(1) (x+5)(x+4)
(2) (x+5)(x-4)
(3) (x-5)(x+4)
(4) (x-5)(x-4)
Q30. (x2-1) equals
(1) (x2+1)(x-1)
(2) (x2-1)(x+1)
(3) (x-1)(x2+x+1)
(4) (x+1)(x2-x+1)
Q31. If a+b+c=0 then a3+b3+c3 equals
(1) 3abc
(2) 2abc
(3) (a2+b2+c2)abc
(4) a2+b2+c2+ab-bc-ca
Q32. The value of x, which is the solution of the equation 5x-(3x+5)=3x-10 is
(1) -5
(2) 5
(3) 10
(4) 15
Q33. The greatest of three consecutive odd numbers, whose sum is 99, is
(1) 31
(2) 32
(3) 33
(4)35
34. In fig AB, EF and CD are parallel to each other, if
= 30° and
= 40° then
equals
(1) 70°
(2) 40°
(3) 170°
(4) 180°
Q
A
E
C
B
30°
F
P
40°
35. In fig 2 lines l and m are parallel and n is a transversal.
The value of
l
(1) 770
(2) 1030
(3) 29°
(4) 28°
m
D
R
n
152°
x°
36. Two lines in the same plane, which are perpendicular to a given line in the plane, are
(1) Perpendicular to each other
(2) Parallel to each other
(3) Identical to each other
(4) None of these
37. In fig PM OB and PB OA If
then x equals
(1) 40
(2) 90
(3) 100
(4) 140
B
M
P
X
A
O
N
1
38.In fig ABCD is a trapezium in which AB || DC if
then
equals
(1) 100
(2) 130
(3) 150
(4)80
D
C
50
B
A
39. In fig ABCD is a rhombus in which diagonal BD is equal to side AD
equals
(1) 30
(2) 45
(3) 60
(4) 90
B
A
C
40. In fig OM to the chord AB of the circle with centre O.
If OA = 5cm and AB= 6cm, then OM equals
(1) 3cm
(2) 4cm
(3) 5cm
(4) 6cm
A
D
M
B
O
C
41. In fig AOB is a diameter of the circle with centre O, BD is a chord
and OB and BD are joined. If
then
equals
(1) 40
(2) 30
(3) 20
(4) 70
B
42. The greatest chord of a circle is called its
(1) Radius (2) Tangent (3) Diameter (4) Circumference
D
A
O
°
°
140°
°°
A
B
43. In fig ABCD is a cyclic quadrilateral
equals
95°
(1) 60° (2) 95° (3) 105°
(4) 120°
44. Angle inscribed in the minor arc of a circle is
60°
(1) an acute angle
(2) a right angle
85°
(3) an obtuse angle
(4) a straight line
D
45. The area of an equilateral triangle with wide 8cm is
C
(1) 16 cm2 (2) 8 cm2 (3) 12 cm2
(4)14 cm2
46. The diagonals of a rhombus are 4cm and 6cm, its area will be
(1) 24cm2
(2) 3cm2
(3)12cm2
(4)18cm2
47. The area of a triangle is 40cm2 if its base has length of 10cm the altitude of triangle is
(1) 80cm
(2)8cm
(3)12cm
(4)14cm
48. The diameter of a circle A is double of another circle B. The area of a circle A is how many times area of
the circle B
(1) 2
(2)4
(3) 16
(4)20
49. The circumference of a circle of area 154sq.m is
(1)44m
(2) 22m
(3)88m
(4)132m
50. The surface area of a cube is 1536 cm2, its volume is
(1) 256cm3
(2)16cm3
(3)4096cm3 (4) 48cm3
51. The ratio of the volumes of a cone and a cylinder of equal base radius and same height is
(1)1:2
(2) 1:3
(3)1:6
(4)1:9
52. The number of boys that can be seated in a room of dimension 12mx9mx4m, if each boy is allowed 6cm3
space are
(1) 92
(2) 72
(3) 36
(4)32
53. If the radius of a cylinder is doubled, its volume becomes
(1) twice
(2) four times
(3) 8 times
(4) 16 times
54. If the radius of a sphere A is one-half the radius of a sphere B, then the ratio of volume of sphere A to that
sphere B is
(1) 1:2
(2) 1:4
(3)1:8
(4) 1:16
2