IMO Mathematics Olympiad Class 9: Questions 255  259 of 919
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Question number: 255
Question
A covered wooden box has the inner measures as 115 cm, 75 cm, 35 cm and the thickness of wood is 2.5 cm. Then the volume of the wood is________
Choices
Choice (4)  Response  

a.  80, 000 cu. Cm  
b.  82, 125 cu. Cm  
c.  85, 000 cu. Cm  
d.  84, 000 cu. Cm 
Question number: 256
» Lines, Angles and Quadrilaterals
Question
A triangle and a parallelogram are equal in area. They also have the same altitude. If the base of the triangle is 22 inches, the area of the trapezoid is ________.
Choices
Choice (4)  Response  

a.  2 inches  
b.  Not obtainable from these data  
c.  19 inches  
d.  11 inches 
Question number: 257
» Lines, Angles and Quadrilaterals
Question
In the figure, PQRS is a square. A line segment SX cuts the side QR at X and the diagonal PR at O such that , then y = ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 258
Question
A cylindrical vessel 80 cm in diameter is partially filled with water. A sphere, 80 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?
Choices
Choice (4)  Response  

a.  30.33 cm  
b.  53.33 cm  
c.  15.33 cm  
d.  40.33 cm 
Question number: 259
Question
A spherical ball of lead, 5 cm in diameter is melted and recast into two spherical balls. The diameter of one of these is 4 cm. The radius of the second ball is________
Choices
Choice (4)  Response  

a.  2.51 cm  
b.  3.51 cm  
c.  2.26 cm  
d.  3.94 cm 