IMO Mathematics Olympiad Class 8: Questions 792  796 of 1029
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Question number: 792
Question
The total area of a circle and a rectangle is equal to 1166 sq. cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm?
Choices
Choice (4)  Response  

a.  188 cm 

b.  189 cm 

c.  186 cm 

d.  182 cm 

Question number: 793
Question
At 3: 00 p. m. on a sunny day, a stick 3 feet tall casts a shadow 7 feet long. At the same time, a tree nearby casts a shadow 55 feet long. What is the height in feet, of the tree?
Choices
Choice (4)  Response  

a.  23.57 feet 

b.  21.22 feet 

c.  10.25 feet 

d.  12.50 feet 

Question number: 794
Question
Mohan gets 3 marks for each correct answer and loses 2 marks for each wrong answer. He attempts 30 problems and obtains 40 marks. The number of problem solved correctly is________.
Choices
Choice (4)  Response  

a.  25 

b.  20 

c.  18 

d.  21 

Question number: 795
Question
A ladder 10 meters long reaches a window which is 6 meters above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to other side of the street to reach a window 8 meters high. The width of the street is ________.
Choices
Choice (4)  Response  

a.  12 m 

b.  14 m 

c.  10 m 

d.  11 m 

Question number: 796
Question
The average age of 5 students is 70 years and their ages are in proportion 3: 5: 7: 9: 11, the age of youngest girl is________.
Choices
Choice (4)  Response  

a.  40 years 

b.  10 years 

c.  30 years 

d.  35 years 
