7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-11 Total Questions - 40    [Download]

• question_answer1)
  Evaluate: \[|\,44-[\,1+5\,\{12\div 4-2\,(1-\overline{4-3})\}]|\]
  A)
   17                               
  done clear
  B)
   \[-14\]
  done clear
  C)
   28                   
  done clear
  D)
   12
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  Square of any negative integer will be :
  A)
   Negative integer
  done clear
  B)
   Positive integer
  done clear
  C)
   0                                
  done clear
  D)
   \[-1\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  If \[\sqrt{625}=25,\] then find the value of\[\sqrt{6.25}+\sqrt{0.0625}\].
  A)
   27.5                            
  done clear
  B)
   0.275
  done clear
  C)
   2.75                
  done clear
  D)
   0.0275
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  The value of \[\frac{1}{2}\div \left[ \frac{1}{2}\times \left\{ \frac{1}{2}\div \left( \frac{1}{2}\times \frac{1}{2}\div \frac{1}{2} \right) \right\} \right]\] is:
  A)
   \[\frac{1}{2}\]                         
  done clear
  B)
   1
  done clear
  C)
   \[\frac{1}{3}\]                         
  done clear
  D)
   4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  What fraction of Rs. 3 is 40 paise?
  A)
   \[\frac{1}{5}\]                         
  done clear
  B)
   \[\frac{4}{9}\]
  done clear
  C)
   \[\frac{2}{15}\]
  done clear
  D)
   \[\frac{6}{11}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  Find the value of \[\frac{1}{0.5}+\frac{1}{0.2}\].
  A)
   6                                
  done clear
  B)
   7
  done clear
  C)
   8                                
  done clear
  D)
   5
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  If \[{{(-15)}^{-1}}\] is divided by \[({{5}^{-1}}),\] then the quotient will be:
  A)
   \[\frac{-1}{3}\]
  done clear
  B)
   \[(-3)\]
  done clear
  C)
   3                                
  done clear
  D)
   \[\frac{1}{3}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  If \[P=\frac{-14}{5}\times \left( \frac{-10}{9} \right)\times \left( \frac{27}{7} \right)\] and \[Q=(-25)\times \frac{17}{5}\times \frac{2}{34}\] then find the value of \[\frac{P+Q}{P-Q}\]
  A)
   \[-1\,\,\frac{14}{15}\]               
  done clear
  B)
   \[\frac{14}{15}\]
  done clear
  C)
   \[\frac{7}{17}\]
  done clear
  D)
   \[-\,3\,\,\frac{14}{15}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  Simplify: \[\left( \frac{5}{13}\times \frac{6}{15} \right)\div \left( \frac{9}{12}\times \frac{4}{3} \right)-\left( \frac{3}{11}\times \frac{5}{6} \right)\]
  A)
   \[\frac{42}{286}\]                    
  done clear
  B)
   \[\frac{109}{286}\]
  done clear
  C)
   \[\frac{-21}{286}\]       
  done clear
  D)
   \[\frac{21}{286}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  The multiplicative inverse of the rational number\[\frac{117}{525}\] is:
  A)
   \[\frac{875}{225}\]                  
  done clear
  B)
   \[\frac{175}{39}\]
  done clear
  C)
   1                                
  done clear
  D)
   \[\frac{876}{225}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  If \[{{\left( \frac{145}{313} \right)}^{x+1}}\times {{\left( \frac{145}{313} \right)}^{5}}={{\left( \frac{145}{313} \right)}^{2x+2}},\] then find the value of\[x\].
  A)
   3                                
  done clear
  B)
   2
  done clear
  C)
   4        
  done clear
  D)
   5
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  Find the value of the expression given below: \[\frac{1024\times 243\times 625}{2048\times 729\times 3125}\]
  A)
   \[\frac{1}{30}\]
  done clear
  B)
   \[\frac{1}{15}\]
  done clear
  C)
   \[\frac{1}{6}\]                         
  done clear
  D)
   \[\frac{1}{10}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  Simplify: \[\frac{{{12}^{-3}}\times {{15}^{4}}}{{{18}^{-2}}}\]
  A)
   \[\frac{{{2}^{3}}\times {{3}^{4}}}{{{5}^{3}}}\]                
  done clear
  B)
   \[\frac{{{3}^{5}}\times {{5}^{4}}}{{{2}^{4}}}\]
  done clear
  C)
   \[\frac{{{2}^{3}}\times {{5}^{3}}}{{{3}^{4}}}\]                
  done clear
  D)
   \[\frac{{{2}^{4}}\times {{3}^{4}}}{{{5}^{3}}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  Find the value of \[4{{x}^{y}}+2{{y}^{x}},\]if \[x=2\] and \[y=-2.\]
  A)
   \[-9\]                           
  done clear
  B)
   9
  done clear
  C)
   3                                
  done clear
  D)
   8
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  Simplify: \[{{(p+q-r)}^{2}}+{{(p-q-r)}^{2}}\]
  A)
   \[2\,[{{(p-r)}^{2}}+{{q}^{2}}]\]
  done clear
  B)
   \[2\,[{{(p-q)}^{2}}+{{r}^{2}}]\]
  done clear
  C)
   \[2\,[{{(q-p)}^{2}}+{{r}^{2}}]\]       
  done clear
  D)
   \[2\,[{{(p-q)}^{2}}+{{q}^{2}}]\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  If \[x+\frac{1}{x}=7\] then the value of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\] is:
  A)
   47                   
  done clear
  B)
   34
  done clear
  C)
   42                               
  done clear
  D)
   24
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  Find the factors of \[{{x}^{2}}+2x-15\].
  A)
   \[(x-5)\,\,(x-3)\] 
  done clear
  B)
   \[(x-5)\,\,(x+3)\]
  done clear
  C)
   \[(x-5)\,\,(x-3)\] 
  done clear
  D)
   \[(x+5)\,\,(x+3)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  Solve: \[(y+3)-2(y-1)=4(y-5)\]
  A)
   2                                
  done clear
  B)
   5
  done clear
  C)
   3                                
  done clear
  D)
   6
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  Find the solution of the equation\[\frac{y-5}{y+2}=\frac{8}{7}\].
  A)
   \[-51\]  
  done clear
  B)
   51
  done clear
  C)
   \[-15\]                          
  done clear
  D)
   15
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  Three years ago James age was 7 times that of Jack. Three years hence James age will be four times that of Jack's age. The present age of Jack is:
  A)
   5 years            
  done clear
  B)
   7 years
  done clear
  C)
   9 years
  done clear
  D)
   10 years
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  The present ages of Peter & Jony are in the ratio of 1 : 2. Four years later, their ages will be in the ratio of 7 : 13. What is their present ages?
  A)
   4 years and 8 years
  done clear
  B)
   12 years and 24 years
  done clear
  C)
   20 years and 40 years
  done clear
  D)
   24 years and 48 years
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  Two numbers are in the ratio of 1 : 2. If sum of their squares is 320, then find the sum of numbers.
  A)
   16                               
  done clear
  B)
   22
  done clear
  C)
   8                                
  done clear
  D)
   24
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  The daily pocket expenses of P and Q are Rs. 120 and Rs. 150 respectively. What is the ratio of their expenses in the simplest form?
  A)
   150 : 120                     
  done clear
  B)
   4 : 5
  done clear
  C)
   30 : 90            
  done clear
  D)
   5 : 4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  If 12.5 % of \[x\] is 15, then find the value of\[x\].
  A)
   50                               
  done clear
  B)
   70
  done clear
  C)
   120     
  done clear
  D)
   45
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  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_answer26)
  An ore contains 15 % aluminium. How many kilograms of the ore are required to get 135 kg of aluminium.
  A)
   650 kg             
  done clear
  B)
   700 kg
  done clear
  C)
   750 kg             
  done clear
  D)
   900 kg
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  A number is increased by 10% and the decreased by 10%. Find the net increase or decrease percent.
  A)
   2% increase                  
  done clear
  B)
   1% decrease
  done clear
  C)
   20% increase                
  done clear
  D)
   5% decrease
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  By selling a table fan for Rs. 1210, a trader gains 10 %. Find the cost price of the table fan.
  A)
   Rs. 1100
  done clear
  B)
   Rs. 1000
  done clear
  C)
   Rs. 1200                      
  done clear
  D)
   Rs. 1110
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  If the cost price of 20 article is equal to the selling price of 15 articles, find the profit percent.
  A)
   \[33\,\,\frac{1}{2}%\]               
  done clear
  B)
   \[33\,\,\frac{1}{3}%\]
  done clear
  C)
   \[33\,\,\frac{1}{5}%\]               
  done clear
  D)
   \[33\,\,\frac{1}{7}%\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  Jack buys two horses for Rs. 1, 50,000 each. He sells one at the gain of 25 % and another at the loss of 25 %. Which one of the following options is correct?
  A)
   There is a loss of 5% on whole transaction
  done clear
  B)
   There is a gain of 5% on whole transaction
  done clear
  C)
   There is no profit or no loss occurs on a whole transaction
  done clear
  D)
   There is a gain of Rs. 37500 on whole transaction
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  Calculate the simple interest on a sum of Rs. 13757 at the rate of 5 % per annum for two years.
  A)
   Rs. 1357.70                 
  done clear
  B)
   Rs. 1375.70
  done clear
  C)
   Rs. 1377.50                 
  done clear
  D)
   Rs. 1300.75
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  Two supplementary angles are in the ratio 7 : 8. Find the angles.
  A)
   \[105{}^\circ \,and\,\,75{}^\circ \]       
  done clear
  B)
   \[83{}^\circ \,and\,\,97{}^\circ \]
  done clear
  C)
   \[84{}^\circ \,and\,\,96{}^\circ \]         
  done clear
  D)
   \[85{}^\circ \,and\,\,95{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  In the figure given below, find the value of z.
  A)
   \[15{}^\circ \]                         
  done clear
  B)
   \[50{}^\circ \]
  done clear
  C)
   \[70{}^\circ \]                         
  done clear
  D)
   \[20{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)
  In the following figure\[AB||CD\], then find the value of
  A)
   \[90{}^\circ \]                         
  done clear
  B)
   \[180{}^\circ \]
  done clear
  C)
   \[120{}^\circ \]           
  done clear
  D)
   \[270{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  If the length of hypotenuse of a right angled triangle is 13 cm and its area is \[30\,\,c{{m}^{2}},\] then the length of the other two sides are:
  A)
   3 cm and 4 cm             
  done clear
  B)
   6 cm and 8 cm
  done clear
  C)
   12 cm and 5 cm  
  done clear
  D)
   6 cm and 10 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  The base of a parallelogram is twice its height. If the area of parallelogram is \[512\,\,c{{m}^{2}},\] then find the base.
  A)
   33 cm             
  done clear
  B)
   32 cm
  done clear
  C)
   40 cm             
  done clear
  D)
   199 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  A rectangular lawn is 50 m by 40 m and has two roads, each 2 m wide in the middle of it. One parallel to its length and the other parallel to the breadth as shown in the figure given below. Find the cost of gravelling the road at the rate of Rs. 4.50 per square metre.
  A)
   Rs. 852            
  done clear
  B)
   Rs. 792
  done clear
  C)
   Rs. 575            
  done clear
  D)
   Rs. 685
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  Find the mean of 11, 15, 13, 27, 19, 24 and 20, if 13 is replaced by 31.
  A)
   10                               
  done clear
  B)
   20
  done clear
  C)
   21       
  done clear
  D)
   24
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  If the mean of five observation \[x,\]\[x+2,\]\[x+4,\]\[x+6\]and \[x+8\] is 11, then the mean of first three observations is:
  A)
   6                                
  done clear
  B)
   9
  done clear
  C)
   11                               
  done clear
  D)
   13
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  Which one number can be placed at the question marks?
  A)
   20                               
  done clear
  B)
   25
  done clear
  C)
   26       
  done clear
  D)
   75
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow