7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-7 Total Questions - 40    [Download]

• question_answer1)
  Sum of two integers is 32. If one of the integer is\[-\,32,\]then the other is:
  A)
   64       
  done clear
  B)
   32
  done clear
  C)
   \[-\,32\]                        
  done clear
  D)
   \[-\,64\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  The smallest possible decimal fraction upto three decimal places is:
  A)
   0.001  
  done clear
  B)
   0.011
  done clear
  C)
   0.101              
  done clear
  D)
   0.111
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  Find the value of the expression given by\[{{\left( \frac{2}{3} \right)}^{2}}\times {{\left( \frac{3}{4} \right)}^{2}}\times {{\left( \frac{4}{9} \right)}^{0}}\].
  A)
   \[\frac{1}{16}\]                        
  done clear
  B)
   \[\frac{1}{4}\]
  done clear
  C)
   \[\frac{1}{8}\]                         
  done clear
  D)
   \[\frac{2}{9}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  Find the value of \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca,\] if  \[a=1,\] \[b=2\] and \[c=3\].
  A)
   2                                
  done clear
  B)
   1
  done clear
  C)
   3        
  done clear
  D)
   7
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  Find the solution of the equation\[\frac{x-7}{x+5}=7\].
  A)
   \[x=-\,3\]                     
  done clear
  B)
   \[x=-\,6\]
  done clear
  C)
   \[x=-\,2\]                     
  done clear
  D)
   \[x=-\,9\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  The ratio of 700 g to 6 kg is:
  A)
   7 : 6                            
  done clear
  B)
   7 : 60
  done clear
  C)
   6 : 13              
  done clear
  D)
   6 : 11
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  \[\frac{1}{2}\] is what percent of \[\frac{1}{3}\] ?
  A)
   4 %                             
  done clear
  B)
   150 %
  done clear
  C)
   2 %                             
  done clear
  D)
   1200 %
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  If selling price of 10 note books is same as cost price of 5 note books then find the loss %.
  A)
   20 %               
  done clear
  B)
   30 %
  done clear
  C)
   40 %               
  done clear
  D)
   50 %
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  Find the simple interest on Rs. 5, 000 for 2 years at 8 % per annum.
  A)
   Rs. 800
  done clear
  B)
   Rs. 900
  done clear
  C)
   Rs. 850            
  done clear
  D)
   Rs. 875
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  Find x, from the figure given below.
  A)
   \[24{}^\circ \]                         
  done clear
  B)
   \[40{}^\circ \]
  done clear
  C)
   \[20{}^\circ \] 
  done clear
  D)
   \[30{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  In the following figure, BC is produced to D and CA is produced to E, if \[\angle DCA=95{}^\circ \]and \[\angle EAB=110{}^\circ ,\] then the value of \[x\] is :
  A)
   \[48{}^\circ \]                         
  done clear
  B)
   \[25{}^\circ \]
  done clear
  C)
   \[76{}^\circ \]                         
  done clear
  D)
   \[128{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  Find the area of rectangle, whose length is 1.5 m and breadth is 30 cm.
  A)
   \[45\,\,c{{m}^{2}}\]               
  done clear
  B)
   \[450\,\,c{{m}^{2}}\]
  done clear
  C)
   \[4500\,\,c{{m}^{2}}\]
  done clear
  D)
   \[455\,\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  At a particular place temperature of the weekdays is shown in the table given below. Find the difference between highest and the lowest temperature.

  Day	Temperature \[\mathbf{{}^\circ C}\]
  Monday	\[-\,20{}^\circ C\]
  Tuesday	\[-\,5{}^\circ C\]
  Wednesday	\[15{}^\circ C\]
  Thursday	\[10{}^\circ C\]
  Friday	\[-15{}^\circ C\]
  Saturday	\[-\,12{}^\circ C\]
  Sunday	\[14{}^\circ C\]

  A)
   \[35{}^\circ C\]
  done clear
  B)
   \[-\,25{}^\circ C\]
  done clear
  C)
   \[-\,35{}^\circ C\]                    
  done clear
  D)
   \[20{}^\circ C\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  Simplify : \[\frac{123}{4123}+\frac{167}{4123}+\frac{253}{4123}+\frac{189}{4123}+\frac{79}{4123}+\frac{131}{4123}\]
  A)
   \[\frac{942}{4132}\]                 
  done clear
  B)
   \[\frac{941}{4132}\]
  done clear
  C)
   \[\frac{942}{4123}\]
  done clear
  D)
   \[\frac{942}{4213}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  Order the following rational numbers from least to greatest. \[-\,4,\,\,6,\,\,9,\,\,0,-\,19,-\,8,\,\,8,\,\,2,\]
  A)
   \[0,\,\,2,\,\,4,-\,4,\,\,6,\,\,8,-\,8,-\,19\]
  done clear
  B)
   \[-\,4,-\,8,-19,\,\,0,\,\,\,2,\,\,\,4,\,\,6,\,\,8\]
  done clear
  C)
   \[-19,-\,8,-\,4,\,0,\,\,2,\,\,6,\,\,8,\,\,9\]
  done clear
  D)
   \[-\,19,-\,8,-\,4,\,\,0,\,\,4,\,\,6,\,\,8,\,\,9\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  Simplify : \[{{(a+b-c)}^{2}}+{{(a-b-c)}^{2}}\]
  A)
   \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-2ca\]
  done clear
  B)
   \[2{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-2ca\]
  done clear
  C)
   \[2\,\,({{a}^{2}}+{{b}^{2}}+{{c}^{2}}-2ca)\]
  done clear
  D)
   \[2\,\,({{a}^{2}}-{{b}^{2}}+{{c}^{2}}-2ca)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  If \[x\]: 8 :: 3 : 2 then the value of \[x\] is :
  A)
   14                               
  done clear
  B)
   12
  done clear
  C)
   15                               
  done clear
  D)
   10
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  In an examination, 96 % of the candidates passed and 100 failed. How many candidates appeared?
  A)
   2500
  done clear
  B)
   2700
  done clear
  C)
   2750                           
  done clear
  D)
   2900
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  A bicycle was purchased for Rs. 1800 and sold for Rs.2000. Find the gain percent.
  A)
   13 %               
  done clear
  B)
   11.11 %
  done clear
  C)
   15 %               
  done clear
  D)
   18 %
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  From the following table find the values of p, q and r.

  Scores	Tally Mark	Frequency
  0	II	r
  1	I	1
  25	I	1
  34	p	3
  67	II	2
  71	I	q
  73	I	1

  A)
   \[p\to III,\,\,q=2\,\,and\,\,r=2\]
  done clear
  B)
   \[p\to III,\,\,q=1\,\,and\,\,r=1\]
  done clear
  C)
   \[p\to II,\,\,q=1\,\,and\,\,r=2\]
  done clear
  D)
   \[p\to III,\,\,q=1\,\,and\,\,r=2\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  The diagrammatic representation with the help of pictures is called:
  A)
   Cartogram                   
  done clear
  B)
   Pie chart
  done clear
  C)
   Pictogram        
  done clear
  D)
   Bar chart
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  The values of \[x,y\And z\] in the given figure are respectively :
  A)
   \[50{}^\circ ,130{}^\circ and\,\,40{}^\circ \]
  done clear
  B)
   \[80{}^\circ ,180{}^\circ and\,\,180{}^\circ \]
  done clear
  C)
   \[50{}^\circ ,130{}^\circ and\,\,50{}^\circ \]
  done clear
  D)
   \[80{}^\circ ,100{}^\circ and\,\,140{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  Which of the following cannot be the sides of a right angled triangle?
  A)
   3 cm, 4 cm and 5 cm
  done clear
  B)
   6 cm, 8 cm and 10 cm
  done clear
  C)
   6 cm, 9 cm and 12 cm
  done clear
  D)
   5 cm, 12 cm and 13 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  Find the area of the shaded region in the given figure.
  A)
   \[56\,\,c{{m}^{2}}\]               
  done clear
  B)
   \[55\,\,c{{m}^{2}}\]
  done clear
  C)
   \[57\,\,c{{m}^{2}}\]               
  done clear
  D)
   \[58\,\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  If \[P=\frac{-\,4}{5}\times \left( \frac{-10}{9} \right)\times \left( \frac{3}{4} \right)\] and \[Q=(-\,6)\times \frac{7}{5}\times \frac{2}{3}\]then P + Q is equal to:
  A)
   \[-\,2\,\,\frac{14}{15}\]             
  done clear
  B)
   \[-\,4\,\,\frac{14}{15}\]
  done clear
  C)
   \[-\,3\,\,\frac{14}{15}\]             
  done clear
  D)
   \[-\,1\,\,\frac{14}{15}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  Evaluate: \[{{\left[ {{\left\{ {{\left( \frac{x}{y} \right)}^{-16}} \right\}}^{\frac{1}{2}}} \right]}^{\frac{3}{8}}}\]
  A)
   \[{{\left( \frac{x}{y} \right)}^{2}}\]                  
  done clear
  B)
   \[{{\left( \frac{x}{y} \right)}^{3}}\]
  done clear
  C)
   \[{{\left( \frac{x}{y} \right)}^{\frac{3}{8}}}\]               
  done clear
  D)
   \[{{\left( \frac{x}{y} \right)}^{4}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  Which one of the following is equal to \[25{{x}^{2}}+4{{y}^{2}}+20xy\]?
  A)
   \[{{(5x+2y)}^{2}}\]               
  done clear
  B)
   \[{{(5x-2y)}^{2}}\]
  done clear
  C)
   \[{{(x+2y)}^{2}}\]                 
  done clear
  D)
   \[{{(9x+3y)}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  In the following figure find x, if AX is parallel
  A)
   \[130{}^\circ \]           
  done clear
  B)
   \[160{}^\circ \]
  done clear
  C)
   \[200{}^\circ \]           
  done clear
  D)
   \[170{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  Find the supplement of an angle which is 5 times of its complement.
  A)
   \[150{}^\circ \]           
  done clear
  B)
   \[105{}^\circ \]
  done clear
  C)
   \[130{}^\circ \]           
  done clear
  D)
   \[60{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)

  Directions : The total sales of a company (in crores) of different years are given in the following bar graph. Study the bar graph carefully and answer the following questions.

  In which year the sales of the company was maximum?
  A)
   2006               
  done clear
  B)
   2007
  done clear
  C)
   2005                           
  done clear
  D)
   2008
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)

  Directions : The total sales of a company (in crores) of different years are given in the following bar graph. Study the bar graph carefully and answer the following questions.

  In which year the sales of the company was minimum?
  A)
   2005               
  done clear
  B)
   2007
  done clear
  C)
   2008                           
  done clear
  D)
   2009
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)

  Directions : The total sales of a company (in crores) of different years are given in the following bar graph. Study the bar graph carefully and answer the following questions.

  The percentage decrease in total sales in year 2009 to that in year 2008 is:
  A)
   10 %               
  done clear
  B)
   30 %
  done clear
  C)
   40 %
  done clear
  D)
   50 %
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)

  Directions : The total sales of a company (in crores) of different years are given in the following bar graph. Study the bar graph carefully and answer the following questions..

  The average sales during these five years is:
  A)
   Rs. 40 crores                
  done clear
  B)
   Rs. 50 crores
  done clear
  C)
   Rs. 60 crores                
  done clear
  D)
   Rs. 70 crores
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)

  Directions : The total sales of a company (in crores) of different years are given in the following bar graph. Study the bar graph carefully and answer the following questions.

  The ratio of the total sales in the year 2005 to that in the year 2009 is:
  A)
   6 : 7                            
  done clear
  B)
   4 : 3
  done clear
  C)
   6 : 5                            
  done clear
  D)
   7 : 3
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  If \[P=[19-12\div \{16-(26-30)\}]\] and  \[Q=[6\times \{5+10\div 2-10\}],\] then \[(P+Q)\,\,({{P}^{2}}+{{Q}^{2}})\times Q\] is equal to:
  A)
   10                               
  done clear
  B)
   0
  done clear
  C)
   19                               
  done clear
  D)
   12
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  Solve for\[x:\frac{x}{4}+\frac{1}{3}=\frac{x}{5}-\frac{1}{3}\].
  A)
   \[\frac{-\,40}{3}\]
  done clear
  B)
   \[\frac{40}{3}\]
  done clear
  C)
   \[\frac{-\,20}{3}\]                     
  done clear
  D)
  \[\frac{20}{3}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  If \[4\,A=5B\] and \[6B=7C,\]then \[A:C\] is equal to:
  A)
   35 : 24
  done clear
  B)
   8 : 9
  done clear
  C)
   24 : 35            
  done clear
  D)
   14 : 15
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  Evaluate: \[{{(0.0081)}^{\frac{1}{4}}}\]
  A)
   0.03                            
  done clear
  B)
   0.003
  done clear
  C)
   0.3      
  done clear
  D)
   3
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  The marked price of an article is Rs. 540 and the shopkeeper allows a successive discount of 15 % and 20 % on it. Find the selling price of the article.
  A)
   Rs. 367.20       
  done clear
  B)
   Rs. 351.00
  done clear
  C)
   Rs. 351.20                   
  done clear
  D)
   Rs. 351.67
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  Which shall come next in the series given below? 6, 12, 20, 30, ?
  A)
   40                               
  done clear
  B)
   42
  done clear
  C)
   52                               
  done clear
  D)
   48
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow