IMO Mathematics Olympiad Class 8: Questions 438  443 of 1029
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Question number: 438
Question
If a wire is bent into the shape of a square, then the area of the square is 49 sq. cm. When the wire is bent into a semicircular shape, then the area of the semicircle will be________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 439
Question
A child walked 13 m to cross a rectangular field diagonally. If breadth of field is 5 m, its length is________.
Choices
Choice (4)  Response  

a.  11 m 

b.  20 m 

c.  12 m 

d.  15 m 

Question number: 440
Question
The perimeter of a trapezoid is 80 cm and its nonparallel sides are each equal to 17 cm and its altitude is 15 cm. Its area is________.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 441
Question
The radii of the bases of two cylinders are in the ratio of 2: 3 respectively and their heights are in the ratio 1: 2 respectively, find the ratio of their volumes.
Choices
Choice (4)  Response  

a.  3: 2 

b.  1: 3 

c.  3: 4 

d.  2: 3 

Question number: 442
Question
Three solid cubes of sides 3 cm, 4 cm and 5 cm are melted to form a new cube. Find the surface area of the cube so formed.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 443
Question
Between a square of perimeter 64 cm and a circle of circumference 64 cm, which figure has larger area and by how much?
Choices
Choice (4)  Response  

a.  Circle, 70 

b.  Circle, 60 

c.  Square, 70 

d.  None of the above 
