Adamjee Cantonment Public School

Math Olympiad-2025
Class: 9 and 10

1. If * +, how many proper subsets of A? 14. How many vertices of a cyclic quadrilateral
a. 12 b. 13 c. 15 d. 16 lie on the circle?
2. If ( ) , than what is the value a. 2 b. 3 c. 4 d. 1
of ( ) 15. At least how many independent data are
a. 0 b. 2 c. -12 d. -14 needed to draw a quadrilateral.
3. If the set A is the proper subset of the set B, a. 5 b. 6 c. 4 d. 2
which relation is correct? 16. How many length of side to draw a square?
a. b. a. 1 b. 2 c. 3 d. 4
c. d. 17. Which figure can be drawn when perimeter
4. If ( ) , than for what value of is given?
a, ( ) a. Rhombus b. Trapezium
a. 0 b. 2 c. (1, -2) d. (1, 2) c. Square d. Rectangle
5. Which type of set* + is? 18. If , than
a. Disjoint set b. Infinite set a. b. c. d.
b. Empty set d. Finite set
19. √
6. If than what is the value
a. b. c. d.
of ( ) ?
a. 0 b. 2 c. 6 d. 8 20. If , than w

7. If √ which one is the value of ? a. b. c. d.

√

a. √ b. √ √ 21. What is the common difference of the series

------?
c. √ d. √ √
a. b.
8. What is the factor of ?
a. ( (( ) c. d.
b. (a+b)( ) 22. .................... is a sequence, 4th term is?
√
c. ( )( )
a. 1 b. c. d.
d. ( )( ) √ √

9. If , than what? 23. What is the nth term of the series?

a. b. c. d.
a. 4 b. √ c. √ d. √ 24. What is the sum of 1st n even number?
10. Parallelogram inscribed in a circle is? a. b.
a. Square b. rectangle c. d.
c. rhombus d. trapezium 25. The length of two diagonals of a rhombus
11. How many points are required to draw a are 12 cm and 15 cm respectively, what is
circle? the area of it?
a. 1 b. 2 c. 3 d. 4 a. b.
12. A straight line intersects a circle at how c. d.
many points? 26. The length of two sides of a triangle are
a. 1 b. 2 c. 3 d. 4 and respectively and angle included
13. The measure of a semicircular angle is? between them is .
a. b. c. d.
what is the area in
a. 22.5 b. 38.97 c. 45 d. 77.94

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27. Which is the mode of the numerical data? 41. If , then x=?
8, 9, 7, 15, 10, 15, 11, 8, 10, 9, 8. a. 2 b. 2 c. 4 d. 16
a. 8 b. 9 c. 10 d. 15 42. What is the value of √ 144?
28. If ( ) . than a. 4 b. √ c. 2 d. √
√
√ 43. If the length of two equal sides of an
a. 0 b. c. d. 1
isosceles right angled triangle is 18 cm, then
29. If what? what is the area of the triangle?
a. 36 b. 81 c. 162 d. 324
a. b. c. 0 d.
√ 44. Each side of a square is how many times of
30. What is the value of ? its diagonal?
a. b. c. d. a. 2 b. √ c. d.
√
31. Which one is the domain of the relation 45. How many data are required to draw
R = {(-3, 2), (3, 3), (4, 3)}? parallelogram?
a. {2, 3} b. {3, 4} a. 2 b. 5 c. 4 d. 6
c. {-3, 3, 4} d. {2, -3, 3} 46. The angle inscribed in a minor arc is_____?
32. Which one is identity? a. Complementary angle
a. (x+2)2+(x-2)2-2x2+8 b. Obtuse angle
b. (x+y)2+(x-y)2=4xy c. Right angle
c. (x+y)2-(x-y)2=4xy d. Reflex angle
d. (x+4)2+(x-4)2=2x2+16 47. Where does the circumcentre of a right
33. Which of the following relation is a function? angled triangle lie?
a. {(1, 2), (1, 3)} b. {(-1, 1), (-1, 2)} a. Inside of the triangle
c. {(2, 3), (1, 2)} d. {(-3, 5), (-3, -4)} b. Outside of the triangle
34. If (x) x x x , c. On perpendicular line
d. On hypotenuse
then . / what? 48. Standing on the equal arc of a circle. the
a. b. c. 0 d. 1 angle at centre are_____?
a. Equal to each other
35. If √ , then what is the value of
√ b. Equal to right angle
( )? c. Equal to simple angle
a. 1 b. 3 c. 2 d. 4 d. Supplementary angle
49. If , then what is the value of A?
36. If x x .x / ?
a. 45 b. 30 c. 0 d. 90
a. 4 b. 3 c. 2 d. 1 50. If 3 , then
37. x what is the value of x ? √
a. b.
√
a. 1 b. 4 c. d.
c. d. 1
38. If , then x what? 51. In
a. 3 b. 4 c. -3 d. -4 i. is right angle
39. (ab ) = what?
-1 -1
ii. A and B are Complementary angle
a. ab b. c. ab-2 d. iii.
40. What is the scientific form of 0.000060302? which of the following is correct?
a. 0.6030210-4 b. 6.030210-5 a. i & ii b. ii & iii
b. 60.30210-6 d. 603.0210-7 c. i & iii d. i, ii & iii
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52. If √x , which of the following is 66. What is the factor of a3 – 9b3 + (a+b)3?
the value of ? a. 2a2 + 5ab + 8b2 b. 3a2 + 6ab + 8b2
c. 2a2 + 9ab + 8b2 d. 2a2 + 5ab + 10b2
a. x b. c. x2-1 d. √ x
67. If ( ) , what is the value of x?
53. If what is the value of
a. -4 b. c. d. 4
? 68. Which one of the following is the value of
a. 3 b. 2 c. 1 d. √ √ ?
54. 5+8+11+14+-----, which term is 383? a. √ b. √ c. √ d. √
a. 127 b. 381 c. 383 d. 132 69. What is the characteristic of the common log
55. 1+2+3+-----99= what? of 0.0035?
a. 3 b. 1
a. 9900 b. 4950 c. 990 d. 475
c. ̅ d. ̅
56. 2+x+8+-----is a geometric, what is the value 70. How many independent data are required to
of x? draw a rectangle?
a. 0 b. 4 c. 2 d. 6 a. 3 b. 4 c. 2 d. 5
57. The volume of a cube is 54√ m , then what
3 71. I r mbu D °, then what
is the length of diagonal? v u
a. 60° b. 80°
a. √ b. √ c. √ d. √ c. 100° d. 70°
58. Which one is the median of the data 72. In a circle the angle inscribed in a major are
13, 11, 8, 9, 15, 5? is-
a. 8.5 b. 9 c. 10 d. 10.5 a. acute angle b. obtuse angle
59. Joining the mid-point of class interval the c. right angle d. reflex angle
graph so drawn is _____? 73. 3 sinA – 2 cosA = 0, cosecA.cosA=?
√
a. Polygon b. Ogive curve a. b.
√
c. Histogram d. Bar chart c. d. 1
60. Which one discrete variable?
74. what?
a. Temperature b. Nest
a. sec A 2 b. cosec2A
c. Age d. Height c. 1 d. tanA
61. If f(x) = x4 + 5x + 3, what is the value of 75. Which one is the greatest value of sinθ?
f(-2)? a. b. 1
a. -23 b. -17 c. 1 d. 9 c. -1 d. 0
62. Which is the following relation is a function? 76. If cosA = sinA, A =?
a. {(1, 2),(1, 3)} b. {(-1, 1),(-1, 2)} a. 0° b. 30°
c. {(2, 3),(0, 1)} d. {(-3, 5),(-3, -4)} c. 45° d. 90°
63. If x4 – x2 + 1 = 0, what is the value of
77. If sin A = , then cos 2A = what?
2

a. b. 1 c. d. 0
a. 2 b. 3 c. 1 d. 4 √
78. What is the 12th term of the series,
64. If , then √ =?
√ 5+7+9+11+............?
a. 0 b. 1 c. √ d. √ a. 27 b. 29 c. 192 d. 194
65. If then- 79. 1+2+3+.........+25?
a. 35 b. 150
i. x2 – 5x + 1 = 0 ii. c. 625 d. 325
iii. 80. log 2 + log 4 + log 8 + .........., which is the 8th
Which one is correct? term of the series?
a. i & ii b. ii & iii a. log 256 b. log 128
c. i & iii d. i, ii & iii c. log 64 d. log 32

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81. If .......... is a
93. If f(x)=x4 – mx2 + 5 and f(-1)=0, what is the
geometric series, what is the sum of 1st value of m?
(2x+1) terms of the series? a. 6 b. 4
a. 0 b. 1 c. 1 d. -6
c. 2 d. 4 94. g(y)=y2 – 13y + 40 and g(y)=0, find the
82. What is the volume of a cube whose side is value of y.
1cm? a. 5, 8 b. -5, -8
a. 1 b. 3 c. -5, 8 d. 5, 7
c. 6 d. 9 95. Which one is the range of
83. The volume of a cube is √ m3, then what S={(3, 1), (3, 3), (4, 3), (5, 4)} ?
is the length of diagonal? a. {3, 3, 4} b. {3, 4, 5}
a. √ b. √ c. {1, 3, 4} d. {1, 4, 5}
c. √ d. √ 96. If the number of elements of any power set is
84. The perimeter of a square is 16m, what is 32, then what is the number of elements of
the length of its one diagonal? that set?
a. 64 b. 32
a. √ m b. √ m
c. 8 d. 5
c. √ m d. √ m 97. How many proper subsets of the set {2,3,4}?
85. The area of a square, drawn on its diagonal a. 3 b. 7
is- c. 8 d. 9
a. Half b. Equal 98. To draw an angle 70° in a right angled,
c. Twice d. Four times which one is correct?
86. One side of an equilateral triangle is √ cm a. hypotenuse = perpendicular
then its area = what? b. Base < perpendicular
√
a. cm 2 b. cm2 c. Base > perpendicular
√ d. Base = perpendicular
c. cm2 b. cm2 99. How many independent data are necessary
87. Which one is the median of the number 5, for constructing of definite quadrilateral?
15, 10, 3, 7? a. 5 b. 4
a. 15 b. 10 c. 3 d. 2
c. 7 d. 5 100. The lengths of the three sides of a triangle
88. Mode=? are given in cm. In which case of the
a. b. following, it is possible to construct a
triangle?
c. d. a. 5, 6, 18 b. 6, 7, 17
89. Which one of the following is correct to c. 7, 8, 17 d. 9, 6, 13
ogive curve? 101. If , then
a. Upward b. Downward
c. Parallel d. Vertical i. . / ii. . /
iii.
90. sin29° + cos29° = what?
Which of the following is correct?
a. 0 b. 1
a. i & ii b. i & iii
c. -1 d. 18
c. ii & iii d. i, ii & iii
91. What is the value of ? 102. Which one of the following is the area of an
a. 2 b. 4 isosceles triangle if its base is a and the
c. 6 d. 8 length of its equal side is b?
92. If , then x = what? a. √ b. √
a. 3 b. 4 c. √ d. √
c. -3 d. -4 ) ( ) += what?
103. *(

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 a. 4x2 + 9y2 b. 2(4x2+9y2) ■ Answer to the question no 115 and 116
c. 12xy d. 24xy based on the following information:
104. If =5, what is the value of ? 5+15+p+q+405 is a geometric series.
115. What is the value of P?
a. 21 b. 23
a. 15 b. 20
c. 110 d. 140
c. 35 d. 45
105. If two tangents at the point A and B of a
116. What is the sum of 1st 4 terms?
Circle form 55° angle, what is the angle at
a. 80 b. 100
the centre subtended by the arc AB?
c. 120 d. 200
a. 115° b. 120°
117. If range is 26 and class interval is 5, then the
c. 125° d. 135°
number of classes is-
106. How many tangents can be drawn at any
a. 5.2 b. 6
point on a circle?
c. 5 d. 7
a. 1 b. 2
118. What is the mean of the numbers 0, 2, 4, 5
c. 3 d. 4
and 6?
107. If two circles with radius 4 cm and 5 cm
a. 3 b. 3.5
touch each other internally, what is the
c. 3.4 d. 4.25
distance between two centres? ∑
a. 1 b. 4 119. Mean ̅ , what is meant by a?
c. 5 d. 9 a. class interval b. assumed mean
108. What is the common difference of the series: c. step deviation d. approximate mean
-16-8-0+.........? 120. What is the median of the data 5, 4, 6, 5, 4, 3,
a. -8 b. 8 6, 5, 6 and 5?
c. 2 d. a. 3 b. 4
109. What is the sum of 1st 15 terms of the series c. 5 d. 6
3+6+9+...........? 121. If
a. 270 b. 315 a. 4 b. √
c. 360 d. 405 c. √ d. √
110. If sinθ = , then tanθ=? 122. Consider the relation: *( )
+ then what is the range of S?
a. b. a. ( ) b. * +
√ √
c.
√
d. √ c. * + d. , -
123. If
111. What is solution of 2cos2θ + 3sinθ – 3=0?
a. 0° b. 30° a. b. 2
c. 45° d. 60° c. x d.
112. Diameter of a wheel is 8 cm. What is the area 124. What is the characteristic of the common
of the wheel? ?
a. 8 πcm2 b. 16 πcm2 a. 4 b. ̅
c. 32 πcm 2 d. 64 πcm2 c. 3 d. 2
125. Central tendency of data measured by-
113. If tan(θ - 60°)= , then sinθ = what?
√ i. mean ii. median
a. 0 b. iii. mode
√ Which of the following is correct?
c. d. 1
a. i & ii b. ii & iii
114. If logaN=P, then- c. i & iii d. i, ii & iii
i. N > 0 ( )
126.
ii. P > 0
iii. a > 0 and a 1 a. b.
Which of the following is correct? c. d.
a. i & ii b. i & iii 127. If ( ) ( ) ( )
c. ii & iii d. i, ii & iii a. ( ) b. ( )
c. ( ) d. ( )
Page 5 of 13
128. If 140. Which one is the scientific form of 0.6262?
a. 1 b. 2 c. 3 d. 4 a. b.
129. If then what is the value c. d.
of ■ Answer to the question no 141 and 142
a. 117 b. 133 based on the following information:
c. 313 d. 373 Class interval 11-20 21-30 31-40 51-50
130. If p, q, r and s are in geometric series then-? Frequency 4 18 22 16
a. pq=rs b. 141. Which one the median class of the data?
c. d. pq=qr a. 11-20 b. 21-30
131. If ( ) what is the value of c. 31-40 d. 41-50
142. In case of determine the median,
?
a. 40 b. 22
a. b. c. 20 d. 18
√ √
c. d. 143. Where the circumcentre of a right angled
triangle situated?
132. If
a. Inside the triangle
a. b. c. d. b. Out side the triangle
133. If √ , find the value of . c. On the hypotenuse
a. b. d. On the base
c. d. 144. What is the sum of 1st 2n terms of the series
134. In is right angle, if √ then ............?
√ a. 0 b. 1
c. 2 d. 2n
a. b.
145. If * + * + then-
c. d. i. Number of proper subset of B\A are 3
135. Where do we use the indiscrete variable? ii. * +
i. To draw histogram iii. * +
ii. To draw frequency polygon Which of the following is correct?
iii. To draw ogive curve a. i & ii b. ii & iii
Which of the following is correct? c. i & iii d. i, ii & iii
a. i & ii b. ii & iii 146. To draw a triangle which is the value of rest
c. i & iii d. i, ii & iii two angles except obtuse angle of obtuse
136. For which condition, implies angled triangle?
? a. b.
a. b. a<0 c. d.
c. a>0 d. 147. Which one is the factor of of ?
137. How many maximum common tangent can a. b.
be drawn of two circles if they touch each c. d.
other externally? 148. If then what is the value of
a. 4 b. 3 ?
c. 2 d. 1
a. b.
138. It the radius of a circle is increased by two
times, then what times will be the area c. d.
increased? 149. If then
a. 3 times b. 4 times
c. 8 times d. 9 times. i.
139. What is the distance between two centres of ii. ( )
the cireles with radius 3cm and 5cm
respectively when they touch internally? iii.
a. 2cm b. 1cm Which of the following is correct?
c. 5cm d. 15cm a. i & ii b. ii & iii
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 c. i & iii d. i, ii & iii 163. If 4sin2A–1=0, then cos3A = ?
150. What is the value of √ ? a. 0 b. 1 c. d.
√
a. b.  Answer the question no. 164 and 165 based
c. 4 d. 5 on the information below:
151. ̇ ̇ what? Class 61- 66- 71- 76- 81-
a. b. c. d. interval 65 70 75 80 85
Frequency 2 8 20 7 3
152. If √ then what is the value of 164. What is the midpoint of mode class?
? a. b. 38 c. 78 d. 83
165. What is median?
a. √ b. c. d. √
a. 68.5 b. 68.6 c. 73.6 d. 73.5
153. If x (x x ) , then b what? 166. If in a circle, angles subtended by same are at the
a. x b. 1 c. 2 d. centre is (2y+100) and (y+1100) respectively.
154. What is the angle at any vertex of a regular Find the value of y.
octagon? a. 300 b. 450 c. 600 d. 900
a. b. c. d. 167. What is the characteristics of common log of
155. If two sides and included angles are given then- the number 0.000435?
i. triangle can be drawn a. 4 b. 3 c. ̅ d. ̅
ii. quadrilateral can be drawn 168. cos2 – sin2 , then cos4 –sin4
iii. rhombus can be drawn
a. b. c. d.
Which of the following is correct? √
a. i & ii b. i, iii c. ii & iii d. i, ii & iii 169. If the area of an equilateral triangle is √
156. In , , then m , what is the perimeter of it?
2

what? a. 4.89m b. 14.69m

a. b. c. d. c. 19.59m d. 72.00m
157. If x y then x y what? 170. If g(y) = y 2–13y+40 and g(y) = 0, is that
a. b. c. d. value of y?
158 What is the sum of the series: a. 5, 8 b. –5, –8 c. –5, 8 d. 5, 7
2+4+6+....+2n? 171. Parallelogram inscribed in a circle is -
( ) a. Rhombus b. Square
a. b. ( ) c. { } d.
c. Trapezium d. Rectangle
172. How many ex-circles can be drawn with any triangle?
159. If the diagonals of a rhombus are 12 cm and a. 1 b. 2 c. 3 d. 4
15 cm. What is the area of the rhombus in 173. Perimeter of a parallelogram is 28 cm, and
m ? ratio of adjacent sides is 4:3. then what is the
a. 45 b. 90 c. 180 d. 360 difference of greater and smaller sides in
160. If the sum of n natural numbers is 25, what c.m?
is the value of n? a. 14 b. 8 c. 4 d. 2
a. 3 b. 4 c. 5 d. 6
174. If = 7, then tan
161. is an obtuse angle of D is
perpendicular to BC, then- a. b. c. d.
a. D 175. If * and x3 < 36} which is the
b. D tabular form ______ .
c. D a. {4,5,6} b. {1,2,3} c. {3} d.
d. D
162. If cosec = , what is the value of tan ? 176. If 2logx–log(2x+35)=0, then x = ?
√ a. –7 b. –5 c. –5, 7 d. –7, 5
a. √ b. 177. Which is the factor of x2–1+2y–y2?
c.
√
d. √ a. x+y–1 b. x+y+1
c. y–x+1 d. x–y–1

Page 7 of 13
178. If the rate of interest if Tk. 5, then what is the which one is correct?
simple profit of tk. 500 in 3 years? a. i & ii b. i & iii
a. 15 b. 45 c. 60 d. 75 c. ii & iii d. i, ii & iii
179. Which one is rational number? 190. If p, q, r are ordered proportional then-
a. √ b. √ c. √ d. √ a. r b. r
180. How many number of lines symmetry has a c. r d. r
regular hexagon? 191. What is the sum of first 10 terms of the
a. 4 b. 6 c. 8 d. 12 series ......?
181. Which of the following is the ordinary a. b.
fraction of ̇ ̇? c. d.
a. b. 192. If (x) x x x then for what
value of a will be ( ) ?
c. d. a. 1 b. 2 c. 3 d. 9
182. If P is a prime number then which one of the 193. Two bisectors of the angles and of
following is irrational number? triangle PQR intersect at the point O.
a. b. √ c. d. If , then
a. b.
183. What is the solution set of √ x c. d.
a. * + b. * + 194. How many lines of symmetry does a square
c. {-3} d. * + have?
184. If √ then- a. 2 b. 4 c. 6 d. 8
i. √ ii. 195. For a regular hexagon-
iii. √ i. Rotational symmetry of order 4.
ii. Angle of rotation is
which one is correct? iii. Each angle is
a. i & ii b. i & iii which one is correct?
c. ii & iii d. i, ii & iii a. i & ii b. i & iii
 Answer the question no. 185 and 186 based c. ii & iii d. i, ii & iii
on the following information below: 196. and D are two similar triangles
TK. 1000 has been invested for 2 years at the and ratio of the corresponding sides is 4:5.
rate of 5% interest. What is the ratio of their areas?
185. On simple profit, what is the total amount a. 4:5 b. 5:4
after 2 years? c. 26:16 d. 16:25
a. TK. 1010 b. TK 1100 197. What is the measurement of each angle of a
c. TK. 1110 d. TK. 1150 regular pentagon?
186. What is the compound profit? a. b.
a. TK. 140 b. TK. 120 c. d.
c. TK. 110 d. TK 102.50 198. What is a circle?
187. If and x, y, z are not mutually a. A closed curved region.
equal. What is the value of each ratio? b. A closed curved region around a definite
a. b. point.
c. Set of points with different distance from
c. d.
a fixed point.
188. If ( ) then how many subjects are
d. Set of points equidistant from a fixed
there of set A?
point.
a. b.
199. Where is the position of the circumcenter of
c. d.
an obtuse angled triangle?
189. The system of equations: x y ,
a. On the the largest side
x y
b. On the shortest side
i. are consistent
c. Inside the triangle
ii. are mutually dependent
d. Out side the triangle
iii. has many solutions
Page 8 of 13
200. How many circumcircles of a triangle can be 210. To determine mode what?
drawn? a. 11 b. 8
a. 1 b. 2 c. 5 d. 3
c. 3 d. 4 211. If P is a prime number then √ is _______.
201. In an equilateral triangle , unit. a. Rational b. Irrational
The height of the triangle is- c. Complex d. a & b
a. unit b. √ unit 212. If f(x)=x 3–3x 2 +2 then f(–1)=?
√
a. –2 b. –3
c. unit d. √ it
√ c. –4 d. –5
202. Angle of elevation is 30 , then what will be 213. If x+ =2 then x5 – = ?
the measure of its depression angle?
a. –3 b. –1
a. b.
c. 0 d. 2
c. d.
203. For which value of the angle of depression 214. =x+1 then x=?
length of a stick and length of it's Shadow is a. –2n b. 2n+1
equal? c. 2 n d. –2n–1
a. b. 215. i. Characteristics of 253.8910–5 is ̅ .
c. d. ii. Mantisa of 0.00836 is –2.07779.
204. If , what is the value of iii. a°=1 when a 1.
Which one is correct?
a. b. a. i, ii b. ii, iii
c. i, iii d. i, ii, iii
c. d.
216. On what condition ax2+bx+c=0 is a
205. If ( ) , ( ) quadratic equation?
√
a. 0 b. 1 a. a 0 b. b 0
√ c. c 0 d. a=b=c
c. d. 217. How many roots are there in the identity
206. If the area of a equilateral triangle is √ x2 – 5x=x(x–5)?
sq.unit, What is its perimeter? a. 1 b. 2
a. 6 unit b. 12 unit c. Infinite d. Zero
c. 18 unit d. 36 unit 218. If then b : a=?
207. Population indicator data is a variable
a. 10 : 7 b. 7 : 10
a. Continuous variable
c. 2 : 7 d. 7 : 2
b. discrete variable
219. The equation x–y–4 =0 and 3x–3y–10=0
c. dependent variable
i. are mutually dependent
d. Independent variable
ii. are mutually consistent
208. Need cumulative frequency-
iii. do not have any solution
i. to determine mean
which one is correct?
ii. to determine median
a. i & ii b. i & iii
iii. to draw ogive curve
c. ii & iii d. i, ii & iii
which one is correct?
a. i & ii b. i & iii 220. If ........... is a sequence, which one is
c. ii & iii d. i, ii & iii the general term of the sequence?
 Answer the question no. 209 and 210 based a. b.
on the following information below: c. ( ) d. ( )
Class interval 51-60 61-70 71-80 81-90 91-100
Frequency 8 12 15 7221. Sum of first P terms of an even numbers is-
8
209. What is the cumulative frequency of the a. P2 b. P2+1
median class? c. P +P
2 d. P2 – P
a. 20 b. 35
b. 42 d. 50

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222. If then what is 232. If cot( –30°)= then sin =what?
√
the value of n? a. b. 0
a. 10 b. 20 c. 30 d. 40 √
223. The length of three sides of a triangle are c. 1 d.
given below. In which case it is possible to 233. If cos2 –sin2 = , what is the value of cos4 –
draw a triangle? sin4 =?
a. 5, 6, 7 b. 5, 7, 14 a. 3 b. 2
c. 3, 4, 7 d. 2, 4, 8
224. If one side of an equilateral triangle is c. 1 d.
produced of both sides then what is 234. The square of the length of a stick is one third of
difference between the generated exterior its shadow length square. What is the angle of
angles? elevation of sum at the edge of the shadow?
a. 0° b. 120° a. 15° b. 30°
c. 180° d. 240° c. 45° d. 60°
225. In a rhombus- 235. The length of the side of an equilateral triangle is
i. four sides are mutually equal 6cm, what is its area?
ii. opposite angles are equal a. √ b. √
iii. two diagonals bisect each other in right c. √ d. √
angle 236. Area of a regular polygon having n sides-
which one is correct? a. b.
a. i & ii b. i & iii
c. ii & iii d. i, ii & iii c. d. n2
226. The angle inscribed in a major are is- 237. Two wheels revolve 32 and 48 lines respectively
a. acute angle b. obtuse angle to cover a distance of 211 meter 20 cm. What is
c. right angle d. complementary the difference of their radius?
angle a. 0.25m b. 0.35m
227. If 0 is the circumcentre of the equilateral c. 0.45m d. 0.48m
r w mu  Answer the question no. 238-239 based on
degrees? the following information below:
a. 30° b. 60° In winter, the statistics of temperature (in
c. 90° d. 120° Celsius) of a region in Bangladesh is 10°, 9°, 8°,
228. I || w 6°, 11°, 12°, 7°, 13°, 14°, 5°.
following is true? 238. Which is the mode of the above numerical data?
a. AP:PB=AQ:QC b. AB:PQ=AC:PQ a. 12° b. 5°
c. AB:AC=PQ:BC d. PQ:BC=BP:BQ c. 14° d. no mode
229. How many lines of symmetry does a scalene 239. Which one is the mean of temperature?
triangle have? a. 8° b. 8.5°
a. 0 b. 1 c. 9.5° d. 9°
c. 3 d. countless 240. Which one is the median of the data?
230. In plane geometry: a. 9.5° b. 9°
i. each of the bounded plane has definite area c. 8.5° d. 8°
ii. If the area of two triangles is equal, the 241. If a : b = c : d, which one is correct?
two triangles are congruent a. bc = ad b. ab = cd
iii. if the two triangles are congruent, their c. abc = d d. b = d
area is equal 242. If x : y = 3 : 2, then 4x : 5y = what?
which one is correct? a. 15 : 8 b. 8 : 15
a. i & ii b. i & iii c. 5 : 6 d. 6 : 5
c. ii & iii d. i, ii & iii
243. If , then m : n = ?
231. If tan(3A)=√ then A=what?
a. 2 : 3 b. 3 : 2
a. 45° b. 30°
c. 5 : 1 d. 1 : 5
c. 20° d. 15°
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244. If a : b = 3 : 2 and b : c = 1 : 5, then a : c : b = 255. Perimeter of an equilateral triangle is 72m,
what? then what is the length of side?
a. 3 : 2 : 10 b. 3 : 10 : 2 a. 24 cm b. 36 cm
c. 2 : 3 : 10 d. 10 : 3 : 2 c. 24 m d. 2.4 m
245. If 2x – y = 8 and x – 2y = 4 then x+y = what? 256. By using only one information which one of
a. 0 b. 4 the following is possible to draw?
c. 8 d. 12 a. Rhombus b. Rectangle
246. What is the distance of the point (-5, -3) c. Square d. None
from x-axis? 257. AB is a chord of a circle with center O. M is
a. -5 unit b. -3 unit the mid point of AB. Which one of the
c. 5 unit d. 3 unit following is incorrect?
247. 5x + 3y = 4 a. AM = BM
2x + 7y = 9 b. OM AB
The pair of equations are- c. OM || AB
i. Consistent d. AB is a diameter if OM=0 unit
ii. have many solutions 258. In a circle,
iii. mutually independent i. Diameter is a chord
Which of the following is correct? ii. Radius is double of diameter
a. i & ii b. i & iii iii. Circumference is 𝜋 times of diameter
c. ii & iii d. i, ii & iii Which of the following is correct?
248. How many solutions are there in the system a. i & ii b. i & iii
of equations 2x + 3y = 6 and 4x + 6y = 10? c. ii & iii d. i, ii & iii
a. 0 b. 1 259. If the chord AB is nearer to the center than
c. 2 d. Infinite the chord CD, then-
249. What is the 15th term of the series a. AB=CD b. AB < CD
..........? c. AB > CD d None
a. 62 b. 67 260. The angle inscribed in the semi circle is-
c. 78 d. 83 a. 60° b. 90°
 Answer the question no. 250 to 251 using c. 180° d. 360°
the following information: 261. If the ratio of the length of a tree and length
2 + 5 + 8 + 11 + ....... of its shadow is √ , then what is the angle
250. Common difference of the series is- of elevation?
a. ‒3 b. 3 a. 60° b. 45°
c. 5 d. 8 c. 30° d. 15°
251. What is the 7th term of the series?  Answer the question no. 262 to 263 from the
a. 14 b. 17 following stem:
c. 20 d. 21
252. What is the sum of first 20 terms of the
series?
a. 410 b. 520
c. 595 d. 610
253. How many unique data are needed to draw a
definite quadrilateral?
a. 2 b. 3 262. W v u
c. 4 d. 5 a. 15° b. 30°
254. I d w c. 45° d. 60°
v u 263. BC = ?
a. 30° b. 45° a. √ cm b. √ cm
c. 60° d. 120° c. √ cm d. √ cm
264. I m m m
w r
Page 11 of 13
 a. sq. cm. b.
√
sq. cm. Which of the following is correct?
a. i & ii b. i & iii
√ √
c. sq. cm. d. sq. cm. c. ii & iii d. i, ii & iii
265. If 𝜋 = in a circle, then what is the  Answer the question no. 275 to 276 using
the following information:
circumference of the circle? and
a. 7 unit b. 3.14 unit
275. What is the value of ?
c. 22 unit d. None
266. How many diameter can be drawn in a a. 12 b. 14
circle? c. 18 d. 20
a. 1 b. 2 276. What is the value of ?
c. 3 d. Infinite a. √ b. √
267. Which one of the following is the formula to
c. 3√ d. √
determine median?
277. If what is the value of x?
a. . /
a. b.
b. . /
c. d.
c. . /
278. What is the log of √ to the base of √ ?
d. . / a. b. √
 Answer the question no. 268 to 269 on the c. d. √
basis of following data: 279. A rhombus can be drawn if there is given-
Class i. length of a side
11-20 21-30 31-40 41-50 ii. length of a side and a diagonal
interval
Number 5 15 10 20 iii. length of a side and an angle
268. What is the mid value of 1st class? Which of the following is correct?
a. 11 b. 15 a. i & ii b. i & iii
c. 15.5 d. 16 c. ii & iii d. i, ii & iii
269. What is the lower limit of mode class? 280. Parallelogram inscribed in a circle is-
a. 11 b. 21 a. rhombus b. square
c. 31 d. 41 c. rectangle d. trapezium
270. What is the mode of the table? 281. Maximum how many common tangents can
a. 41.33 b. 42.33 be drawn of two circles?
c. 43.33 d. 44.33 a. 6 b. 5
271. Which one is the simple fraction of ̇ ̇? c. 4 d. 2
a. b. 282. If ( ) ,
√

c. d. a. b.
√
272. How many proper subsets of the set c. 1 d.
* + 283. If , then
a. 4 b. 14
a. 0 b.
c. 15 d. 16 √
273. If √ then √ c. d. 1
a. √ b. √  Answer the question no. 284 to 285 using
c. √ d. √ the following information:
274. If then-
i. 284.
ii.
a. b.
iii. ( )
c. d.

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285. 293. What is the sum of 1st 50 natural numbers?
a. b. a. 1250 b. 1275
c. 2500 d. 2550
c. d. 294. .............. what?
286. If what is the value of y? a. 2025 b. 2350
a. 3 b. 12 c. 2525 d. 1950
c. 24 d. 48 295. How many lines of symmetry does the
287. If q, r, s, t are ordered proportional then- rhombus have?
i. a. 1 b. 2
c. 3 d. 4
ii.
296. What is the angle of rotation of H?
iii. a. b.
Which of the following is correct? c. d.
a. i & ii b. i & iii 297. What is the order of rotational symmetry of
c. ii & iii d. i, ii & iii a circle?
288. If and what is the a. 0 b. 2
value of x? c. 4 d. unlimited
a. 6 b. 7 298. If the perimeter of an equilateral triangle is
c. 12 d. 13 18cm, what is the height of the triangle in
 Answer the question no. 289 to 290 using cm?
the following information: a. √ b. √
is a geometric series. c. √ d.
289. What is the value of p? 299. What is the median of the numbers
a. 15 b. 20 ?
c. 35 d. 45 a. 11.5 b. 14
290. What is the sum of 1st 4 terms of the series? c. 16 d. 18.6
a. 80 b. 100 300. Cumulative frequency is essential-
c. 120 d. 200 i. to determine mode
291. What is the common difference of the series ii. to determine median
..........? ii. to draw an ogive curve
a. b. Which of the following is correct?
c. d. a. i & ii b. i & iii
292. What is the nth term of the series c. ii & iii d. i, ii & iii
........?
a. b.
c. d.

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