7th Class Mathematics Sample Paper

done Mathematics Sample Paper-7 Total Questions - 23    [Download]

• question_answer1)
  In the figure given below, find the value of X if \[\mathbf{AB}\parallel \mathbf{CD}\]and\[\mathbf{AF}\parallel \mathbf{CE}\].
  A)
  \[65{}^\circ \]   
  done clear
  B)
                   \[110{}^\circ \]
  done clear
  C)
  \[70{}^\circ \]  
  done clear
  D)
       \[135{}^\circ \]
  done clear
  E)
  None of these
  done clear
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• question_answer2)
  Simplify: \[\frac{{{3}^{n}}+{{3}^{n+1}}}{{{3}^{n+1}}-{{3}^{n}}}\], where n is a natural number.
  A)
  4                          
  done clear
  B)
  2
  done clear
  C)
  6                         
  done clear
  D)
      1
  done clear
  E)
  None of these
  done clear
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• question_answer3)
  A train, 360 m long, is running at a speed of 45 km/hr. What time will it take to cross a 140 m long bridge?
  A)
  31 seconds         
  done clear
  B)
  40 seconds
  done clear
  C)
  41 seconds          
  done clear
  D)
     45 seconds
  done clear
  E)
  None of these
  done clear
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• question_answer4)
  Solve: \[\left( {{a}^{3}}+{{a}^{2}} \right)\div \left( {{a}^{4}}-{{a}^{2}} \right)=?\]
  A)
  \[\frac{a+1}{a-1}\]       
  done clear
  B)
  \[\frac{1}{a+1}\]
  done clear
  C)
  \[\frac{1}{a-1}\]
  done clear
  D)
  \[\frac{a-1}{a+1}\]
  done clear
  E)
  None of these
  done clear
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• question_answer5)
  If \[(a+b+c)=0,\]then find the value of \[{{X}^{\frac{a}{2}}}\times {{X}^{\frac{b}{2}}}\times {{X}^{\frac{c}{2}}}\].
  A)
  3                          
  done clear
  B)
       0
  done clear
  C)
  1                 
  done clear
  D)
       2
  done clear
  E)
  None of these
  done clear
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• question_answer6)
  25% of a number is 19 less than 18% of 650. Find the number.
  A)
  544                          
  done clear
  B)
  392
  done clear
  C)
  932                     
  done clear
  D)
       445
  done clear
  E)
  None of these
  done clear
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• question_answer7)
  Find the value of m in the equation given below. \[m+\frac{(m-1)}{2}=1+\frac{(m-2)}{3}\]
  A)
  \[\frac{7}{5}\]  
  done clear
  B)
         \[\frac{5}{7}\]
  done clear
  C)
  \[\frac{7}{12}\]             
  done clear
  D)
  \[\frac{5}{12}\]
  done clear
  E)
  None of these
  done clear
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• question_answer8)
  Look at the following number line and choose the correct option.
  A)
  B represents 2     
  done clear
  B)
     A represents ? 4
  done clear
  C)
  B represents 4     
  done clear
  D)
    B represents ? 4 
  done clear
  E)
  None of these
  done clear
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• question_answer9)
  The value of \[\mathbf{5}\div \left( -\mathbf{1} \right)\] does not lie between___ on the number line.
  A)
  0 and\[-10\]            
  done clear
  B)
  0 and 10
  done clear
  C)
  -4 and  -15       
  done clear
  D)
  \[-6\]and 6
  done clear
  E)
  None of these
  done clear
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• question_answer10)
  If x% of\[~\mathbf{100}=1\], then find the value of x.
  A)
  0                          
  done clear
  B)
    100
  done clear
  C)
  1                
  done clear
  D)
       10
  done clear
  E)
  None of these
  done clear
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• question_answer11)
  If \[\frac{x}{y}=\frac{5}{4}\]then the value of \[\frac{9}{8}-\frac{(y+x)}{(y-x)}\]
  A)
  \[\frac{63}{8}\]             
  done clear
  B)
  \[\frac{81}{8}\]
  done clear
  C)
  9                     
  done clear
  D)
  72
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer12)
  When 5 times of a number is multiplied with itself, it gives the value 1445. Find the number.
  A)
  19                        
  done clear
  B)
     18
  done clear
  C)
  17              
  done clear
  D)
       21
  done clear
  E)
  None of these
  done clear
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• question_answer13)
  The average of 5 consecutive odd numbers A, B, C, D and E is 95. Find the product of C and E.
  A)
  9120                   
  done clear
  B)
       9405
  done clear
  C)
  9215                   
  done clear
  D)
       9603
  done clear
  E)
  None of these
  done clear
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• question_answer14)
  If \[{{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+{{\mathbf{c}}^{\mathbf{2}}}=\mathbf{96}\] and \[\mathbf{ab}+\mathbf{be}+\mathbf{ca}=\mathbf{50}\], then find the value of\[~\mathbf{a}+\mathbf{b}+\mathbf{c}.\]
  A)
  50                       
  done clear
  B)
  14
  done clear
  C)
  41                       
  done clear
  D)
  196
  done clear
  E)
  None of these
  done clear
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• question_answer15)
  10 men or 20 women or 40 children can do a piece of work in 7 months. Then 5 men, 5 women and 5 children together can do half of work in:
  A)
  8 months            
  done clear
  B)
      4 months
  done clear
  C)
  5 months            
  done clear
  D)
       6 months
  done clear
  E)
  None of these
  done clear
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• question_answer16)
  Simplify: \[\frac{\sqrt{36}+\sqrt{64}}{{{2}^{3}}-1}\]
  A)
  3                         
  done clear
  B)
     5
  done clear
  C)
  4                         
  done clear
  D)
     1
  done clear
  E)
  None of these
  done clear
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• question_answer17)
  If \[{{\mathbf{2}}^{a}}={{\mathbf{4}}^{b}}={{\mathbf{8}}^{c}}=\mathbf{64}\], then which of the following relations are true?
  A)
  \[a+b+c=8\]       
  done clear
  B)
  \[a+b+c=9\]
  done clear
  C)
  \[a+b+c=11\]      
  done clear
  D)
  \[a+b+c=10\]
  done clear
  E)
  None of these
  done clear
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• question_answer18)
  Find the LCM of \[\frac{1}{4}\] and \[\frac{2}{5}\].
  A)
  \[\frac{1}{10}\]             
  done clear
  B)
  2
  done clear
  C)
  \[\frac{1}{20}\]             
  done clear
  D)
  1
  done clear
  E)
  None of these
  done clear
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• question_answer19)
  The smallest number with which 120 should be multiplied, so that the product must be a perfect square is:
  A)
  30              
  done clear
  B)
      15
  done clear
  C)
  60                       
  done clear
  D)
     120
  done clear
  E)
  None of these
  done clear
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• question_answer20)
  Two numbers A and B are in the ratio \[\frac{5}{6}:\frac{3}{4}\]. By what percent is A more than B?
  A)
  \[9.\overline{09}%\]                
  done clear
  B)
     \[11.\overline{11}%\]
  done clear
  C)
  10%                    
  done clear
  D)
       12.5%
  done clear
  E)
  None of these
  done clear
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• question_answer21)
  The parallel sides of a trapezium ABCD are 16 cm and 8 cm and the distance between them is 6 cm. AF and BE are the perpendiculars drawn to\[\overline{DC}\]. Find the total area of the triangles ADF and BCE.
  A)
  \[36c{{m}^{2}}\]        
  done clear
  B)
  \[24c{{m}^{2}}\]
  done clear
  C)
  \[30c{{m}^{2}}\]        
  done clear
  D)
  \[28c{{m}^{2}}\]
  done clear
  E)
  None of these
  done clear
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• question_answer22)
  Evaluate: \[\frac{1101\times 55\times 3636}{6606\times 330\times 101}\]
  A)
  1          
  done clear
  B)
                    3
  done clear
  C)
  9                         
  done clear
  D)
      5
  done clear
  E)
  None of these
  done clear
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• question_answer23)
  Find the two numbers whose mean proportional is 14 and third proportional is 112.
  A)
  9 and 29             
  done clear
  B)
       7 and 28
  done clear
  C)
  10 and 30        
  done clear
  D)
  6 and 27
  done clear
  E)
  None of these
  done clear
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