IMO Level 1 Mathematics Olympiad (SOF) Class 9: Questions 294  299 of 929
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Question number: 294
Question
Centroid of a triangle is the point of concurrency of its ________
Choices
Choice (4)  Response  

a.  Triangle 

b.  Perpendicular bisectors 

c.  Medians 

d.  Angle 

Question number: 295
Question
216 plastic balls each of radius r are melted together to from one big sphere of radius R. then the ratio of surface area of the big sphere to that of a ball is ________
Choices
Choice (4)  Response  

a.  9 

b.  36 

c. 


d. 


Question number: 296
Question
The base and height of the triangle are in the ratio. The area of the triangle is , then height of triangle = ________
Choices
Choice (4)  Response  

a.  18 cm 

b.  19 cm 

c.  20 cm 

d.  22 cm 

Question number: 297
Question
The area of a square and a rectangle are equal. The side of square is 12 cm and the length of rectangle is 16 cm. the perimeter of the rectangle is ________
Choices
Choice (4)  Response  

a.  75 cm 

b.  144 cm 

c.  25 cm 

d.  50 cm 

Question number: 298
Question
In triangle XYZ, the altitude from X to YZ meets YZ at K, and the altitude from Y to XZ meets XK at M. if , and , if then the length of MK is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 299
Question
In the given figure, PQRS is a square of side 2a with centers P, Q, R and S, four circles are drawn such that each circle touch externally two of the remaining three circles. Then the area of the shaded region is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

