8th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-3 Total Questions - 40    [Download]

• question_answer1)
  If 24 shirts of equal size can be prepared from 54 metre of cloth, then what will be the length of cloth required for each shirt?
  A)
   125 cm            
  done clear
  B)
   185 cm
  done clear
  C)
   225 cm
  done clear
  D)
   275 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  \[\frac{2}{5}\] People in a joint family are students, \[\frac{1}{4}\] people are house wives and rest are working people. If there are 20 members in the family, then the number of working persons in the family are:
  A)
   3                                
  done clear
  B)
   7       
  done clear
  C)
   9                                
  done clear
  D)
   11
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  Evaluate: \[\frac{{{\left( 2\frac{1}{6}+3\frac{5}{6} \right)}^{3}}}{{{\left( 2\frac{1}{6}+3\frac{5}{6} \right)}^{2}}}=?\]
  A)
   0                                
  done clear
  B)
   7
  done clear
  C)
   6        
  done clear
  D)
   12
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  The following pie graph shows the number of certain players of a particular country playing different games. Find the ratio between the number of person playing Golf to that of the persons playing Hockey.
  A)
   \[1:2\]                          
  done clear
  B)
   \[1:3\]
  done clear
  C)
   \[3:4\]                          
  done clear
  D)
   \[2:3\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  Find the value of \[{{\left( \frac{1}{x} \right)}^{0}}\].
  A)
   \[0\]                            
  done clear
  B)
   \[1\]
  done clear
  C)
   \[x\]                            
  done clear
  D)
   \[\frac{-1}{x}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  The number 16777216 is the square of which one of the following number?
  A)
   4276               
  done clear
  B)
   4096
  done clear
  C)
   4086                           
  done clear
  D)
   5006
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  If\[\sqrt{5184}=72,\]then\[\sqrt{5184}+\sqrt{51.84}+\sqrt{0.005184}\]is equal to:
  A)
   79.369            
  done clear
  B)
   79.464
  done clear
  C)
   79.272
  done clear
  D)
   79.646
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  If \[3\sqrt{5}+\sqrt{125}=17.88,\]then value of\[\sqrt{80}+6\sqrt{5}\]will be:
  A)
   22.55              
  done clear
  B)
   22.35
  done clear
  C)
   20.46              
  done clear
  D)
   20.55
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  What is the smallest number by which 1600 must be divided so that the quotient will be a perfect cube?
  A)
   15                               
  done clear
  B)
   20
  done clear
  C)
   25       
  done clear
  D)
   30
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  Three numbers are in the ratio\[1:2:3\], if the sum of their cubes is 98784, then the numbers are the successive multiples of:
  A)
   12                               
  done clear
  B)
   16
  done clear
  C)
   14       
  done clear
  D)
   24
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  By what number must we multiply with the sum of the cubes of first ten natural numbers so that the resultant product will be a perfect cube?
  A)
   11                               
  done clear
  B)
   55
  done clear
  C)
   110                             
  done clear
  D)
   125
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  The product of \[(-\,3{{x}^{2}}y)\,\,(4{{x}^{2}}y-3x{{y}^{2}}+4x-5y)\]is equal to:
  A)
   \[-12{{x}^{3}}{{y}^{2}}+9{{x}^{2}}{{y}^{2}}-12{{x}^{4}}y+15{{x}^{3}}{{y}^{3}}\]
  done clear
  B)
   \[-12{{x}^{4}}{{y}^{2}}+9{{x}^{3}}{{y}^{3}}-12{{x}^{3}}y+15{{x}^{2}}{{y}^{2}}\]
  done clear
  C)
   \[-12x{{y}^{2}}+9{{x}^{3}}{{y}^{2}}-12{{x}^{3}}y+15xy\]
  done clear
  D)
   \[-12x{{y}^{3}}+9xy-12x{{y}^{2}}+15{{x}^{2}}y\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  Find the value of\[y\]if \[\frac{{{x}^{2}}-19x-25}{x-7}=x-12+\frac{y}{x-7}\].
  A)
   \[-\,64\]                        
  done clear
  B)
   \[-\,84\]
  done clear
  C)
   \[-\,84\]                        
  done clear
  D)
   \[-\,109\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  Find the volume of the figure given below such that the radius of the base of cone is 5.6 cm and the height of cylindrical and conical parts are 6.2 cm and 11.4 cm respectively.   
  A)
   \[1478.4\,\,c{{m}^{3}}\]                     
  done clear
  B)
   \[1685.4\,\,c{{m}^{3}}\]
  done clear
  C)
   \[1695.4\,\,c{{m}^{3}}\]                     
  done clear
  D)
   \[985.6\,\,c{{m}^{3}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  What must be added to \[({{x}^{4}}+2{{x}^{3}}-2{{x}^{2}}-2x-1)\]to obtain a polynomial which is exactly divisible by\[(x-1)\,\,(x+3)\]?
  A)
   \[2x+4\]                      
  done clear
  B)
   \[2x-4\]
  done clear
  C)
   \[4x+2\]                      
  done clear
  D)
   \[4x-2\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  A private carrier charges Rs. 320 for a journey of 300 km. Find the charge for the distance of 360 km.
  A)
   Rs. 384 
  done clear
  B)
   Rs. 420
  done clear
  C)
   Rs. 370                        
  done clear
  D)
   Rs. 355
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  Find the area of the polygon given below if AP= 10 cm, BP = 20 cm, CP = 50 cm, DP = 60 cm and PS = 90 cm.
  A)
   \[4080\,c{{m}^{2}}\]             
  done clear
  B)
   \[5050\,c{{m}^{2}}\]
  done clear
  C)
   \[6060\,c{{m}^{2}}\]             
  done clear
  D)
   \[7070\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  Simplify: \[\frac{\sqrt{5}}{\sqrt[3]{5}}\]
  A)
   \[5\,\,\frac{3}{8}\]                                
  done clear
  B)
   \[5\,\,\frac{1}{3}\]
  done clear
  C)
   \[5\,\,\frac{1}{5}\]                                
  done clear
  D)
   \[5\,\,\frac{1}{6}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  In an elastic spring the longitudinal extensions is directly proportional to the weight hanged on the spring. If a weight of 150 kg produces an extension of 2.9 m, then find the weight which will produce an extensions of 17.4 m.
  A)
   900 kg             
  done clear
  B)
   600 kg
  done clear
  C)
   700 kg                         
  done clear
  D)
   800 kg
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  A bike and a cycle starts running from same point in opposite directions. The bike is moving with the speed of 60 km/h and the cycle is moving at the speed of 10 km/h. Find the distance between them after 8.25 seconds.
  A)
   577.00 m                     
  done clear
  B)
   160.4 m
  done clear
  C)
   320.2 m                      
  done clear
  D)
   577.25 m
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  A and B can do a piece of work in 12 days, B and C in 15 days, C and A in 20 days. In how many days will they finish it together?
  A)
   15                               
  done clear
  B)
   10
  done clear
  C)
   12                               
  done clear
  D)
   14
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  A pipe can fill a cistern in 6 hours. Due to a leak in the bottom it is filled in 7 hours. When the cistern is full, in how much hours will it be emptied by the leak?
  A)
   40                               
  done clear
  B)
   42
  done clear
  C)
          35                               
  done clear
  D)
   45
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  Find the value\[a+a\]from the figure given below.
  A)
   \[110{}^\circ \]           
  done clear
  B)
   \[160{}^\circ \]
  done clear
  C)
   \[170{}^\circ \]           
  done clear
  D)
   \[100{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  20% of boys in an examination were not appeared, 70% of appeared boys passed the examination. What percent of total registered boys for the examination were failed, if absent boys are considered as failed?
  A)
   40%                
  done clear
  B)
   10%
  done clear
  C)
   38%                
  done clear
  D)
   44%
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  Find the value of x such that: \[\frac{3x+2}{8}-\frac{2x+6}{6}=\frac{4}{6}+x\]
  A)
           \[\frac{34}{23}\]                                  
  done clear
  B)
   \[\frac{17}{23}\]
  done clear
  C)
   \[-\frac{34}{23}\]                     
  done clear
  D)
   \[-\frac{17}{23}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  After allowing a discount of 12% on the marked price of an article, it is sold for Rs. 880. Find its marked price.
  A)
   Rs. 1000
  done clear
  B)
   Rs. 900
  done clear
  C)
   Rs. 1050                      
  done clear
  D)
   Rs. 950
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  If ABCE is a square and CDE is an equilateral triangle then angle ADB will be:    
  A)
   \[150{}^\circ \]           
  done clear
  B)
   \[20{}^\circ \]
  done clear
  C)
   \[25{}^\circ \]                          
  done clear
  D)
   \[30{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  If principal is x and rate of interest is y % annually for five years then which one of the following is correct for calculating the compound interest?
  A)
   \[x\left\{ {{\left( 1+\frac{5}{100} \right)}^{y}}-1 \right\}\]         
  done clear
  B)
   \[y\left\{ {{\left( 1+\frac{5}{100} \right)}^{x}}-1 \right\}\]
  done clear
  C)
   \[x\left\{ {{\left( 1+\frac{y}{100} \right)}^{5}}-1 \right\}\]         
  done clear
  D)
   All of these
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  The dimension of a metallic cuboid are\[100\,cm\,\,\times \,\,80\,cm\,\,\times \,\,64\,cm\]. It is melted and recast into a cube. Find the surface area of the cube.
  A)
   \[38000\,\,c{{m}^{2}}\]                      
  done clear
  B)
   \[38600\,\,c{{m}^{2}}\]
  done clear
  C)
   \[38400\,\,c{{m}^{2}}\]          
  done clear
  D)
   \[37200\,\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  The lateral surface area of a hollow cylinder is \[4224\,\,c{{m}^{2}}\]. It is cut along its height to form a rectangular sheet of width 32 cm. Find the perimeter of rectangular sheet.
  A)
   339 cm            
  done clear
  B)
   328 cm
  done clear
  C)
   340 cm            
  done clear
  D)
   315 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  Amit choose three numbers, x, y and z in such a way that the x is twice of y and thrice of z, if the average of all the three numbers is 88, then the smallest number is:
  A)
   46                               
  done clear
  B)
   48
  done clear
  C)
   52                               
  done clear
  D)
   72
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  The square root of \[21\,\,\frac{2797}{3364}\]  is:
  A)
   \[4\,\,\frac{39}{58}\]    
  done clear
  B)
   \[3\,\,\frac{39}{58}\]              
  done clear
  C)
   \[\frac{271}{56}\]                                
  done clear
  D)
   \[\frac{341}{58}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  The mean weight of 12 person's increases by 2.5 kg when a new person comes in place of them by replacing a person whose weight is 68 kg. The weight of the new person is:
  A)
   78 kg               
  done clear
  B)
   88 kg
  done clear
  C)
   98 kg  
  done clear
  D)
   75 kg
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)
  The maximum length of pen that can be kept in a rectangular box of dimension \[8\,cm\,\times \,\,6\,cm\,\,\times \,\,2\,\,cm\]is:
  A)
   \[2\sqrt{26}\,cm\]
  done clear
  B)
   \[3\sqrt{13}\,cm\]
  done clear
  C)
   \[2\sqrt{13}\,cm\]                     
  done clear
  D)
   \[2\sqrt{52}\,cm\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  Steve ranked 8th from the top and 37th from the bottom in a class. How many students are there in the class?
  A)
   42                               
  done clear
  B)
   44
  done clear
  C)
   46                               
  done clear
  D)
   47
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  What is the least number by which 68600 must be divided so that the quotient will be a perfect cube?
  A)
   49                               
  done clear
  B)
   25
  done clear
  C)
   81                               
  done clear
  D)
   27
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  The age of 25 students are given below. The mean age is:

  Age	14	15	16	17
  No. of students	4	8	10	3

  A)
   14 years                      
  done clear
  B)
   15.48 years
  done clear
  C)
   16 years                      
  done clear
  D)
   16.48 years
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  The largest rational number among the given rational number is:
  A)
   \[\frac{44}{34}\]          
  done clear
  B)
   \[\frac{55}{85}\]
  done clear
  C)
   \[\frac{76}{68}\]                                  
  done clear
  D)
   \[\frac{98}{102}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  Simplify: \[\sqrt{3\frac{33}{289}}\]
  A)
   \[\sqrt{\frac{3}{17}}\]              
  done clear
  B)
   \[\sqrt{\frac{30}{17}}\]
  done clear
  C)
   \[\sqrt{\frac{33}{17}}\]            
  done clear
  D)
   \[\sqrt{\frac{11}{17}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  In a right angled triangle with sides a and b, hypotenuse c, the altitude drawn on the hypotenuse is \[x\].Then:
  A)
   \[ab={{x}^{2}}\]                   
  done clear
  B)
   \[\frac{1}{a}+\frac{1}{b}=\frac{1}{x}\]
  done clear
  C)
          \[{{a}^{2}}+{{b}^{2}}=2{{x}^{3}}\]       
  done clear
  D)
   \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=\frac{1}{{{x}^{2}}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow