7th Class Mathematics Sample Paper

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

• question_answer1)
  The difference between a positive fraction and its reciprocal is \[\frac{9}{20}\] . The fraction is:
  A)
   \[\frac{3}{5}\]
  done clear
  B)
   \[\frac{3}{10}\]
  done clear
  C)
   \[\frac{4}{5}\]                         
  done clear
  D)
   \[\frac{5}{4}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  252 can be expressed as a product of primes such as:
  A)
   \[2\times 2\times 3\times 3\times 7\]
  done clear
  B)
   \[2\times 2\times 2\times 3\times 7\]
  done clear
  C)
   \[3\times 3\times 3\times 3\times 7\]        
  done clear
  D)
   \[2\times 3\times 3\times 3\times 7\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  \[\frac{1095}{1168}\] when expressed in simplest form is equals to:
  A)
   \[\frac{13}{16}\]                                  
  done clear
  B)
   \[\frac{15}{16}\]
  done clear
  C)
   \[\frac{17}{26}\]                                  
  done clear
  D)
   \[\frac{25}{26}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  If  \[47.\,2506=4\,\,A+\frac{7}{B}+2\,\,C+\frac{5}{D}+6E,\] then the value of \[5A+3B+6C+F+3E\] is
  A)
   53.6003                       
  done clear
  B)
   53.603
  done clear
  C)
   153.6003         
  done clear
  D)
   213.0003
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  Which of the following has fractions in ascending order?
  A)
   \[\frac{1}{3},\frac{2}{5},\frac{4}{7},\frac{3}{5},\frac{5}{6},\frac{6}{7}\]         
  done clear
  B)
   \[\frac{1}{3},\frac{2}{5},\frac{3}{5},\frac{4}{7},\frac{5}{6},\frac{6}{7}\]
  done clear
  C)
   \[\frac{1}{3},\frac{2}{5},\frac{3}{5},\frac{5}{6},\frac{4}{7},\frac{6}{7}\]         
  done clear
  D)
   \[\frac{2}{5},\frac{3}{5},\frac{1}{3},\frac{4}{7},\frac{5}{6},\frac{6}{7}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  What is the difference between the biggest and the smallest fraction among \[\frac{2}{3},\frac{3}{4},\frac{4}{5}\] and \[\frac{5}{6}\]
  A)
   \[\frac{1}{6}\] 
  done clear
  B)
   \[\frac{1}{12}\]
  done clear
  C)
   \[\frac{1}{20}\]                        
  done clear
  D)
   \[\frac{1}{30}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  What digit will come in place of question mark in the following equation? \[54.\underline{\,?}\,3+543+5.43=603.26\]
  A)
   5                                
  done clear
  B)
   6
  done clear
  C)
   8
  done clear
  D)
   All of these
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  If  \[1.125\times {{10}^{k}}=0.001125,\] then the value of k is:
  A)
   \[-\,4\]                         
  done clear
  B)
   \[-\,3\]
  done clear
  C)
   \[-\,2\]                         
  done clear
  D)
   \[-\,1\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  A bus starts from Delhi. The number of women in the bus is half the number of men. In the city Ambala, 10 men leave the bus and five women enter. Now Number of men and women is equal. In the beginning, with how many passengers did the bus started from Delhi?
  A)
   55                               
  done clear
  B)
   45
  done clear
  C)
   35                               
  done clear
  D)
   25
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  \[\frac{1}{0.04}\] is equal to:
  A)
   \[\frac{1}{40}\]                        
  done clear
  B)
   \[\frac{2}{5}\]
  done clear
  C)
   2.5                              
  done clear
  D)
   25
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  If \[1.5x=0.04y,\]then the value of \[\left( \frac{x-y}{y+x} \right)\] is:
  A)
   \[\frac{730}{77}\]                    
  done clear
  B)
   \[\frac{73}{77}\]
  done clear
  C)
   \[\frac{7.3}{77}\]                                 
  done clear
  D)
   All of these
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  The value of \[\frac{3.157\times 4126\times 3.198}{63.972\times 2835.121}\] is closest to:
  A)
   0.002              
  done clear
  B)
   0.02
  done clear
  C)
   0.2      
  done clear
  D)
   2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  \[(7.5\times 7.5+37.5+2.5\times 2.5)\] is equal to:
  A)
   30                               
  done clear
  B)
   60
  done clear
  C)
   80                               
  done clear
  D)
   100
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  What mathematical operation should come at the place of '?' in the equation: \[2?6-12\div 4+2=11.\]
  A)
   \[+\]                           
  done clear
  B)
   \[-\]
  done clear
  C)
   \[\times \]         
  done clear
  D)
   \[\div \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  When \[\left( \frac{1}{2}-\frac{1}{4}+\frac{1}{5}-\frac{1}{6} \right)\] is divided by\[\left( \frac{2}{5}-\frac{5}{9}+\frac{3}{5}-\frac{7}{18} \right)\], the result is:
  A)
   \[2\,\,\frac{1}{18}\]                  
  done clear
  B)
   \[3\,\,\frac{1}{6}\]
  done clear
  C)
   \[3\,\,\frac{3}{10}\]                  
  done clear
  D)
   \[5\,\,\frac{1}{10}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  By how much is three-fifth of 350 greater than four - seventh of 210?
  A)
   95                               
  done clear
  B)
   110
  done clear
  C)
   120                             
  done clear
  D)
   210
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  A person travels 3.5 km from place A to place B. Out of this distance, he travels \[1\,\,\frac{2}{3}\]km on bicycle, \[1\,\,\frac{1}{6}\]km on scooter and the rest on foot. What portion of the whole distance does he cover on foot?
  A)
   \[\frac{3}{19}\]                        
  done clear
  B)
   \[\frac{4}{11}\]
  done clear
  C)
   \[\frac{4}{21}\]
  done clear
  D)
   \[\frac{5}{6}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  If \[a-b=3\] and \[{{a}^{2}}+{{b}^{2}}-29,\] find the value of ab.
  A)
   10       
  done clear
  B)
   12
  done clear
  C)
   15                               
  done clear
  D)
   18
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  Find the two numbers whose mean proportional is 12 and the third proportional is 324.
  A)
   6 and 8           
  done clear
  B)
   4 and 36
  done clear
  C)
   3 and 24                      
  done clear
  D)
   5 and 25
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  In how many years the simple interest on a sum of Rs. 725 will be Rs. 87 at 4 % per annum?
  A)
   1 years            
  done clear
  B)
   5 years
  done clear
  C)
   3 years        
  done clear
  D)
   4 years
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  What will be the difference between SI and CI on a sum of Rs. 15, 000 for two years at the same rate of interest of \[12\,\,\frac{1}{2}%\] per annum?
  A)
   Rs. 234.375                 
  done clear
  B)
   Rs. 230.550
  done clear
  C)
   Rs. 250.129                 
  done clear
  D)
   Rs. 324.357
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  The SP of a TV set is marked at Rs. 17, 600 including sales tax at the rate of 10%. Find the sales tax.
  A)
   Rs. 1600          
  done clear
  B)
   Rs. 1250
  done clear
  C)
   Rs. 1550                      
  done clear
  D)
   Rs. 1660
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  If the length of diagonal of a square is a + b, then the area of the square is
  A)
   \[{{(a+b)}^{2}}\]                  
  done clear
  B)
   \[\frac{1}{2}\,\,{{(a+b)}^{2}}\]
  done clear
  C)
   \[{{a}^{2}}+{{b}^{2}}\]                 
  done clear
  D)
   \[\frac{1}{2}\,\,({{a}^{2}}+{{b}^{2}})\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  How many meters of carpet 63 cm wide will be required to cover the floor of a room 14 m by 9 m?
  A)
   200 m
  done clear
  B)
   210 m
  done clear
  C)
   220 m             
  done clear
  D)
   185 m
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  A rectangle measures 8 cm in length. Its diagonal measures 10 cm. What is the perimeter of the rectangle?
  A)
   36 cm             
  done clear
  B)
   38 cm
  done clear
  C)
   28 cm
  done clear
  D)
   18 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  Find the missing number
  A)
   4                                
  done clear
  B)
   305
  done clear
  C)
   343     
  done clear
  D)
   729
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  A man is walking in a rectangular field whose perimeter is 6 km. If the area of rectangular field be 2 sq.km, then what is the difference between the length and breadth of the rectangle?
  A)
   \[\frac{1}{2}\,\,km\]                 
  done clear
  B)
   \[1\,\,km\]
  done clear
  C)
   \[1\,\,\frac{1}{2}\,\,km\]           
  done clear
  D)
   \[2\,\,km\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  Which of the following gives the correct value of \[\sqrt{2}\]?
  A)
   \[\frac{7}{5}\]                         
  done clear
  B)
   \[\frac{13}{9}\]
  done clear
  C)
   \[\frac{0.1}{0.07}\]                  
  done clear
  D)
   \[\frac{7\sqrt{14}}{\sqrt{343}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  If \[{{4}^{x}}=\sqrt{{{2}^{3y}}},\]then:
  A)
   \[x=\frac{3}{4}y\]                   
  done clear
  B)
   \[y=\frac{3}{4}x\]
  done clear
  C)
   \[x=3y\]                      
  done clear
  D)
   \[x=\frac{1}{3}y\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  A car travels 715 km at a uniform speed. If the speed of the car is \[\text{10 kmph}\]more, it takes 2 hours less to covers the distance. The original speed of the car was:
  A)
   \[\text{45}\,\,\text{kmph}\]                   
  done clear
  B)
   \[\text{55}\,\,\text{kmph}\]
  done clear
  C)
   \[60\,\,\text{kmph}\]                 
  done clear
  D)
   \[65\,\,\text{kmph}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  25% of \[x\] is same as 40% of\[y\]. The ratio \[x:y\] is:
  A)
   8 : 5    
  done clear
  B)
   5 : 3
  done clear
  C)
   3 : 8                            
  done clear
  D)
   5 : 8
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  A tank 2.5 m wide, 4 m long and 1.5 m depth is dug in a field 31 m long and 10 m wide. If the earth dug out is evenly spread out over the field. How much the level of field will rise?
  A)
   5 cm   
  done clear
  B)
   2 cm
  done clear
  C)
   3 cm                           
  done clear
  D)
   4.5 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  In the given figure, \[\angle a\] a is greater than one sixth of right angle, then:
  A)
   \[b>165{}^\circ \]                   
  done clear
  B)
   \[b<165{}^\circ \]
  done clear
  C)
   \[b\le 165{}^\circ \]                 
  done clear
  D)
   \[b\ge 165{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)
  Find out the marks in Hindi from pie chart given below, if the total marks be 540.
  A)
   168     
  done clear
  B)
   126
  done clear
  C)
   102                             
  done clear
  D)
   144
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  Find the value of a in the following figure:
  A)
   \[55{}^\circ \]                         
  done clear
  B)
   \[50{}^\circ \]
  done clear
  C)
   \[60{}^\circ \]                         
  done clear
  D)
   \[45{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  In a triangle ABC, if an angle \[A=67{}^\circ \] and angle \[B=59{}^\circ ,\] then the measure of reflex angle at C is:
  A)
   \[350{}^\circ \]           
  done clear
  B)
   \[54{}^\circ \]
  done clear
  C)
   \[306{}^\circ \]
  done clear
  D)
   \[330{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  The value of \[\frac{{{7}^{x+3}}\times {{9}^{2x-y}}\times {{11}^{x+y+3}}\times {{(63)}^{y+1}}}{{{(63)}^{x+1}}\times {{(77)}^{y+3}}\times {{(99)}^{x}}}\] is equal to:
  A)
   11                               
  done clear
  B)
   1
  done clear
  C)
   0                                
  done clear
  D)
   67
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  In the figure, CD is parallel to AB. The angle Y is equal to:
  A)
   \[55{}^\circ \]                         
  done clear
  B)
   \[60{}^\circ \]
  done clear
  C)
   \[65{}^\circ \]                         
  done clear
  D)
   \[50{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  If CE is parallel to DB in the given figure then value of \[x\] will be_______.
  A)
   \[45{}^\circ \] 
  done clear
  B)
   \[75{}^\circ \]
  done clear
  C)
   \[30{}^\circ \]                         
  done clear
  D)
   \[85{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  Find x in the following figure, if AX is parallel
  A)
   \[130{}^\circ \]
  done clear
  B)
   \[170{}^\circ \]
  done clear
  C)
   \[190{}^\circ \]           
  done clear
  D)
   \[180{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow