IMO Level 1 Mathematics Olympiad (SOF) Class 9: Questions 308  313 of 929
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Question number: 308
Question
The area of a quadrilateral PQRS, in which , is an equilateral triangles of side 12 cm and is________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 309
Question
Triangle AXY is formed by three tangents to circle with center Z and , then angle XYZ equals ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 310
Question
A running track is the ring formed by two concentric circles. It is 45 feet wide. The circumferences of the two circles differ by about ________
Choices
Choice (4)  Response  

a.  200 feet  
b.  280 feet  
c.  230 feet  
d.  260 feet 
Question number: 311
Question
If the altitude of an equilateral triangle is , its area is ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 312
Question
In the given figure, and QS, RS are the bisectors of and , then ________
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 313
Question
A bus stop is barricaded from the remaining part of the road, by using 75 hollow cones made of recycled cardboard. Each cone has a base diameter of 60 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs. 17 per m^{2}, what will be the cost of painting all these cones? (Use and take )
Choices
Choice (4)  Response  

a.  Rs. 1645  
b.  Rs. 1742  
c.  Rs. 1586  
d.  Rs. 1224 