7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-12 Total Questions - 40    [Download]

• question_answer1)
  Find the value of \[1-[2-\{5-(4-\overline{3-2})\}]\]
  A)
   3                                
  done clear
  B)
   2
  done clear
  C)
   1        
  done clear
  D)
   0
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  The value of  \[1+\frac{1}{1,+\frac{1}{1+\frac{1}{3}}}\] is:
  A)
   \[\frac{2}{7}\]                         
  done clear
  B)
   \[\frac{9}{7}\]
  done clear
  C)
   \[\frac{11}{7}\]
  done clear
  D)
   \[\frac{15}{7}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  If \[\frac{x}{3y}=\frac{2}{3},\]the value of \[\frac{2x+y}{x+2y}\]
  A)
   \[\frac{4}{5}\]                         
  done clear
  B)
   \[\frac{5}{4}\]
  done clear
  C)
   \[\frac{1}{4}\]                         
  done clear
  D)
   1
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  A number is multiplied and divided by the same number\[\frac{7}{19}\]. The difference between the two results is 312. The given number is:
  A)
   133     
  done clear
  B)
   19
  done clear
  C)
   49                               
  done clear
  D)
   7
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  In which of the following options fractions are in descending order?
  A)
   \[\frac{13}{53},\frac{7}{29},\frac{4}{13}\]                   
  done clear
  B)
   \[\frac{7}{29},\frac{13}{53},\frac{4}{13}\]
  done clear
  C)
   \[\frac{4}{13},\frac{7}{29},\frac{13}{53}\]                   
  done clear
  D)
   \[\frac{4}{13},\frac{13}{53},\frac{7}{29}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  Find the value of\[\frac{{{(0.99)}^{3}}+{{(0.01)}^{3}}}{(0.99)\times (0.99)-(0.99)\times (0.01)+(0.01)\times (0.01)}\].
  A)
   10                               
  done clear
  B)
   0.01
  done clear
  C)
   0.1                              
  done clear
  D)
   1
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  If \[\sqrt{0.03\times 3\times a}=3\times 0.03\times \sqrt{b},\] then \[\frac{a}{b}\]
  A)
   0.009              
  done clear
  B)
   0.09
  done clear
  C)
   0.0009            
  done clear
  D)
   0.9
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  If \[a:b=b:c,\] then ratio \[{{a}^{4}}:{{b}^{4}}\]=?
  A)
   \[ac:{{b}^{2}}\]                     
  done clear
  B)
   \[{{a}^{2}}:{{c}^{2}}\]
  done clear
  C)
   \[{{c}^{2}}:{{a}^{2}}\]                   
  done clear
  D)
   \[{{b}^{2}}:ac\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  The average age of a person and his son is 30 years. The ratio of their ages is 4 : 1 respectively. Find the age of son.
  A)
   12 year
  done clear
  B)
   14 year
  done clear
  C)
   16 year            
  done clear
  D)
   24 year
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  Perimeter of a rectangle is 40 cm and the length and the breadth are in the ratio of 3 : 2 respectively. What is the area of the rectangle in sq cm?
  A)
   72                               
  done clear
  B)
   98
  done clear
  C)
   84                               
  done clear
  D)
   96
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  Find the value of \[{{\left\{ {{\left( 216 \right)}^{\frac{2}{3}}} \right\}}^{\frac{1}{2}}}\]
  A)
   8                                
  done clear
  B)
   10
  done clear
  C)
   6        
  done clear
  D)
   4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  Evaluate: \[{{({{3}^{2}})}^{3}}+{{\left( \frac{2}{3} \right)}^{0}}+{{3}^{5}}\times {{\left( \frac{1}{3} \right)}^{4}}\]
  A)
   15                               
  done clear
  B)
   633
  done clear
  C)
   733                 
  done clear
  D)
   565
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  If \[{{27}^{y}}=\frac{9}{{{3}^{y}}},\]then find the value of y.
  A)
   \[\frac{1}{4}\]                         
  done clear
  B)
   4
  done clear
  C)
   \[\frac{1}{2}\]             
  done clear
  D)
   2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  The maximum marks for an examination is 900. A student fails by 43 marks if he gets 33% of the maximum marks. What are pass marks?
  A)
   332                             
  done clear
  B)
   360
  done clear
  C)
   340     
  done clear
  D)
   375
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  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_answer16)
  Find the value of \[\frac{{{3}^{n+1}}-{{3}^{n}}}{{{3}^{n+2}}-{{3}^{n+1}}}\]
  A)
   \[\frac{3}{2}\]                         
  done clear
  B)
   \[\frac{2}{3}\]
  done clear
  C)
   3                                
  done clear
  D)
   \[\frac{1}{3}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  In what time does a sum of money becomes four times at the simple interest rate of 10% per annum?
  A)
   20 years                      
  done clear
  B)
   30 years
  done clear
  C)
   35 years                      
  done clear
  D)
   45 years
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  Find the value of x, if\[{{\left( \sqrt{3}+\sqrt{2}+\sqrt{7}+\sqrt{18}+\sqrt{6}+\frac{\sqrt{5\sqrt{5}}}{\sqrt{5}} \right)}^{x-2}}=1\]
  A)
   1                                
  done clear
  B)
   2
  done clear
  C)
   3                                
  done clear
  D)
   4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  The population of a town is 16,000. If it increases at the rate of 10% per annum, then what will be its population after 2 years?
  A)
   18320             
  done clear
  B)
   19200
  done clear
  C)
   20620             
  done clear
  D)
   19360
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  Two position of the dice are shown. When 4 is at the bottom, what number will be on the top?
  A)
   1        
  done clear
  B)
   2
  done clear
  C)
   5                                
  done clear
  D)
   4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  The average of the following observations arranged in ascending order is 24, find x. 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35 and 40.
  A)
   9                                
  done clear
  B)
   20
  done clear
  C)
   21       
  done clear
  D)
   22
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH?
  A)
   246173            
  done clear
  B)
   214673
  done clear
  C)
   214763            
  done clear
  D)
   216473
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  An alloy contains 10 g copper, 20 g zinc and 20 g tin. What is the percentage of copper in the alloy?
  A)
   20%                
  done clear
  B)
   25%
  done clear
  C)
   30%                            
  done clear
  D)
   15%
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  The selling price of 24 articles is equal to the cost price of 30 articles. What is the loss or gain percent?
  A)
   25 % gain        
  done clear
  B)
   25 % loss
  done clear
  C)
   20% gain                     
  done clear
  D)
   18% loss
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  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_answer26)
  A cow is tied to a pole in the middle of a park with a string 35 m long. Find the area over which the cow can graze.
  A)
   \[3650\,{{m}^{2}}\]               
  done clear
  B)
   \[3850\,{{m}^{2}}\]
  done clear
  C)
   \[2550\,{{m}^{2}}\]               
  done clear
  D)
   \[3450\,{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  In the following diagram, square represents women, triangle represents teachers and circle represents graduates. Which number represents women graduate teachers?
  A)
   6                                
  done clear
  B)
   5
  done clear
  C)
   4                                
  done clear
  D)
   3
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  If AB and CD are parallel, find the value of x + y
  A)
   \[60{}^\circ \]                         
  done clear
  B)
   \[80{}^\circ \]
  done clear
  C)
   \[90{}^\circ \]                         
  done clear
  D)
   \[100{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  What number must be added to\[\left( -\frac{7}{8} \right)\] to get \[\frac{4}{9}\]?
  A)
   \[\frac{95}{72}\]                                  
  done clear
  B)
   \[\frac{17}{62}\]
  done clear
  C)
   \[\frac{71}{63}\]                                  
  done clear
  D)
   \[\frac{81}{73}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  The sum of two positive numbers is 26 and their difference is 10. The positive under root of their product is:
  A)
   8                                
  done clear
  B)
   10
  done clear
  C)
   12       
  done clear
  D)
   18
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  Find the total number of prime numbers up to 100.
  A)
   26                               
  done clear
  B)
   28
  done clear
  C)
   25       
  done clear
  D)
   7
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  The perimeter of a square is 12 cm and that of another is 16 cm. The side of a square whose area is equal to the sum of the area of above two square would be:
  A)
   4 cm                           
  done clear
  B)
   5 cm
  done clear
  C)
   5.5 cm            
  done clear
  D)
   6 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  In the adjoining figure, ABCD is a square and EBC is an equilateral triangle. The measure of \[\angle EAB\] is equal to________.
  A)
   \[15{}^\circ \] 
  done clear
  B)
   \[30{}^\circ \]
  done clear
  C)
   \[{{\left( 22\frac{1}{2} \right)}^{{}^\circ }}\]              
  done clear
  D)
   \[45{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)
  The ages of A and B are in the ratio of \[9:4.\,\,7\]years hence, the ratio of their ages will be \[5:3.\]The age of A is:
  A)
   8 years            
  done clear
  B)
   18 years
  done clear
  C)
   26 years                      
  done clear
  D)
   52 years
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  Find the value of x from the figure given below.
  A)
   \[24{}^\circ \]                         
  done clear
  B)
   \[26{}^\circ \]
  done clear
  C)
   \[25{}^\circ \]                         
  done clear
  D)
   \[32{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  Factorize : \[{{x}^{3}}-3{{x}^{2}}+3x-1\]
  A)
   \[{{(x-1)}^{3}}\]        
  done clear
  B)
   \[(x-1)\,\,(x-3)\]
  done clear
  C)
   \[(x+1)\,\,(x-3)\]           
  done clear
  D)
   \[{{(x-1)}^{2}}\,(x-3)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  If \[a-\frac{1}{a}=5,\] then the value of \[{{a}^{3}}-\frac{1}{{{a}^{3}}}\]is ­­­­____.
  A)
   142                             
  done clear
  B)
   140
  done clear
  C)
   172                             
  done clear
  D)
   125
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  The value of \[\frac{{{2}^{x+3}}\times {{3}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}\times {{15}^{x}}}\]
  A)
   1        
  done clear
  B)
   0
  done clear
  C)
   \[-1\]                           
  done clear
  D)
   10
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  Match the following: Which one of the following options is correct?
  A)
   1 - B, 2 - D, 3 - A, 4 - C
  done clear
  B)
   1 - B, 2 - C, 3 - D, 4 - A
  done clear
  C)
   1 - C, 2 - D, 3 - B, 4 - A
  done clear
  D)
   1 - B, 2 - D, 3 - C, 4 ? A
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  If the following data is represented in a pie diagram, then what will be the angle of the sector corresponding to boys?

  Males	Females	Girls	Boys	Total
  2500	2000	1500	4000	10,000

  A)
   \[120{}^\circ \]           
  done clear
  B)
   \[90{}^\circ \]
  done clear
  C)
   \[144{}^\circ \]
  done clear
  D)
   \[25{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow