This document describes the details of a math quiz being held for classes 9 through 12. It provides 5 sample multiple choice questions from the first round of the general maths section covering topics like roots of equations, arithmetic progressions, and trigonometry. It then lists 2 geometry problems about angles and shapes. The second round is described as being on passing round with 4 word problems about volumes, lengths, numbers of combinations. The third round is a buzzer round with 12 multiple choice or short answer questions testing a wide range of math topics.

1. AADHAR INTERNATIONAL
PUBLIC SCHOOL

2. MATHS QUIZ
Class - IX TO XII

3. First Round
General Maths
(Objective Type)

4. •NISCHAY HOUSE

5. 1. 45end with digit -
• A.
• B.
• C.
• D.
0
5
4
6

6. Ans. C. 4

7. 2.If the root of the equation
3x²-kx-2=0 is 2,then what is the
value of k.
• A.
• B.
• C.
• D.
0
-2
3
5

8. Ans. D. 5

9. 3.If p+2, 4p-6 and 3p-2 are
the three consecutive
terms of an A.P., Find the
value of p.
• A.
• B.
• C.
• D.
1
2
3
4

10. Ans. C. 3

11. PRAYAAS
HOUSE

12. 4. In Series 1,3,7,15,…..,
what is the next
term?
• A.
• B.
• C.
• D.
28
29
30
31

13. Ans. 31

14. 5. If the tan A=3/4,then
what is the value
of sec A ?
• A.
• B.
• C.
• D.
4/3
3/5
5/3
5/4

15. Ans. D. 5/4

16. Q.6-What is the value of
Cos80/Sin10+Cos 59
Cosec31 .
• A.
• B.
• C.
• D.
0
1
2
3

17. Ans. C. 2

18. SANKALP HOUSE

19. Q.7-If A+B+C=180 and
angle A=90,then what is
value of tan(B+C)?
• A. 0
• B. 1
• C. Not define
• D.1/√2

20. Ans.-Not define

21. Q.8-What is the value of
A? if 2Sin²A=1/2 ,
0<A<90 .
• A.
• B.
• C.
• D.
0
30
45
60

22. Ans. 30

23. Q9 The sum of two numbers
is 27 and product is 182.
The numbers are:
(a) 12 and 13
(b) 13 and 14
(c) 12 and 15
(d) 13 and 24

24. ANSWER – B (13,14)

25. Geometry

26. 1. In given figure, QT┴ PR,
what is the value of x?
P
Q
T
R
40o x
S
30o

27. •Ans. 80

28. 2. In given circle AB is
diameter of circle.What is
the value of x ?
60o
C
A B
x
D

29. Ans. 30o

30. 3.In given figure
,PAR=90.Find QPR.
Q P
R
A 90O
24 cm.

31. Ans. 90o

32. PRAYAAS
HOUSE

33. 4.In the given figure,
∆ODC~∆OBA.
BOC=125 and CDO=70
,Find OAB.
D C
A B
70o
O 125o

34. Ans. 55o

35. 5.Give the name of
the point of
intersection where
all the altitude of a
triangle meet.

36. ORTHOCENTRE

37. 6. If one angle of an isosceles
triangle is of 50 and
AB=AC,Find the value of other
two angles.
B
A
50o
C

38. Ans. 65 ,65

39. SANKALP
HOUSE

40. 7. What is the area
of an equilateral
triangle if the
length of side is a
unit?

41. Ans.
(√3/4)a2

42. 8.Find the Sum of
the interior angles
of a polygon having
12 sides.

43. Ans.1800

44. 9. In the below figure,
the value of ∠ADC is:
a. 60°
b. 30°
c. 45°
d. 55°

45. ANSWER- C 45
Degree

46. 3rd Round
(Passing Round)

47. Q.1. Two Cubes each of
volume 64 cm³ are
joined end to end . Find
the surface area of the
resulting cuboid.

48. Ans.160 cm²

49. Q.2. The radius of a sphere
is 14cm. It is melted and
drawn into a cylindrical
wire of 7 cm in radius.
Find the length of the
wire.

50. Ans. 56 cm.

51. 3. Find the volume of
the greatest sphere
that can be cut from a
cylindrical log of wood
of base radius 1cm and
height 5 cm.

52. Ans. (4/3) cm³

53. 4. Radius of a cone is 4
cm. Find the height of
the cone so that its
volume may be equal to
that of a sphere of 4cm
in diameter.

54. Ans. 2 cm.

55. 5. How many 3-digit
even numbers can be
formed from the digits
1, 2, 3, 4, 5, and 6 if the
digits can be repeated?

56. Answer - 108

57. 6. Find the number of
ways of selecting 9 balls
from 6 red balls, 5 white
balls and 5 blue balls if
each selection consists
of 3 balls of each colour.

58. Answer - 2000

59. Fourth
Round
•Buzzer Round

60. Q.1 Name the mathematician
. Who first compute the
decimal expansion of
л(Pie).

61. Ans. Archimedes

62. Q.2- Find the value
of 32 2/5.

63. Ans.
4

64. Q.3- What are the
zeros of the
polynomial
P(x)=x²-5x+6?

65. Ans.
2,3

66. Q.4- What is the
remainder when
x4 + x³+x²- 2x+1
is divided by x-1?

67. Ans. 2

68. Q.5-If x+y+z=0 then
x³+y³+z³ is
equal to
… … … … . .

69. Ans.
3xyz

70. Q.6-Find the value of
[(1.7)2 – (1.3)2]/(1.7-
1.3)

71. Ans. 3

72. Q.7- If the co-
ordinate of a point
are (3,2) then find
the abscissa.

73. Ans. 3

74. Q.8- Give any two
solution of the
equation
x+2y= 6.

75. Ans. X=6, y=0
and x=0 , y=3

76. Q9 -Two cards are drawn at random
and without replacement from a pack
of 52 playing cards.Find the
probability that both the cards are
black.

77. Ans- 25/102

78. Q10- Find the
equation of the circle
with radius 5 whose
centre lies on x-axis
and passes through
the point (2, 3).

79. Ans-The equation of
the required circle is
x2 + y2 + 4x – 21 = 0 and
x2 + y2 -12x + 11 = 0

80. Q11 If X and Y are two
sets such that X ∪Y has
18 elements, X has 8
elements and Y has 15
elements; how many
elements does X ∩ Y
have?

81. Ans. 5

82. Q12 Find the
12th term of a G.P.
whose 8th term is
192, and the
common ratio is 2.

83. Ans – 3072

84. Thank you.