7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-6 Total Questions - 40    [Download]

• question_answer1)
  If \[A=9-25\,\,\{56-(47-13\div 26\times 4of2)\}\] and \[B=[13\times \{15+(3)\times (-5)\}]\], then find the value of \[A+B-{{B}^{2}}\].
  A)
   260                             
  done clear
  B)
   \[-316\]
  done clear
  C)
   153                             
  done clear
  D)
   316
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  John goes 10 km towards east from a point P to another point Q. From Q he moves 7 km towards his left reach at another point S and again 10 km towards his left and finally reach at point R. If the distance towards north and east are represented by positive integer then which integer will represent his final distance from P?
  A)
   \[-27\,\,km\]                 
  done clear
  B)
   7 km
  done clear
  C)
   \[-7\,\,km\]                   
  done clear
  D)
   17 km
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  A three - digit number 4a3 is added to another three - digit number 984 to give the four digit number 13b7, a multiple of 11. Then, a + b is equal to:
  A)
   12                               
  done clear
  B)
   10
  done clear
  C)
   7                                
  done clear
  D)
   9
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  How many numbers from 1 to 1000 are exactly divisible by 7 and 11 both?
  A)
   12       
  done clear
  B)
   13
  done clear
  C)
   11                               
  done clear
  D)
   9
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  The number 826852 is completely divisible by:
  A)
   2 and 4
  done clear
  B)
   3 and 9
  done clear
  C)
   4 and 10                      
  done clear
  D)
   2 and 5
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  How many prime numbers are there in\[{{6}^{7}}\times {{35}^{3}}\times {{11}^{10}}\]?
  A)
   25                               
  done clear
  B)
   30
  done clear
  C)
   22                               
  done clear
  D)
   31
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  Find the square root of \[\frac{4\sqrt{2}-5}{4\sqrt{2}+5}\] upto four decimal place, \[(given\sqrt{7}=2.6457\]and \[\sqrt{14}=3.7417)\]
  A)
   0.2381            
  done clear
  B)
   0.2482
  done clear
  C)
   0.6568            
  done clear
  D)
   0.0617
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  Rocky, Merry and John want to divide Rs. 1256 equally among themselves. Rocky gets three times than John, Merry gets four times than John Find their respective share.
  A)
   Rs. 474, Rs. 632 and Rs. 158
  done clear
  B)
   Rs. 476, Rs. 624 and Rs. 156
  done clear
  C)
   Rs. 481, Rs. 620 and Rs. 155
  done clear
  D)
   Rs. 471, Rs. 628 and Rs. 157
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  In a class, \[\frac{1}{4}th\] of the girls and \[\frac{1}{7}th\] of the boys participate in a Mathematical seminar. What will be the total number of students in the class if 13 students participate in the seminar out of which 6 are girls?
  A)
   73                   
  done clear
  B)
   63
  done clear
  C)
   49                               
  done clear
  D)
   57
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  A number is 62 more than the average of its quarter and one-fifth. The number is:
  A)
   80       
  done clear
  B)
   18
  done clear
  C)
   72                               
  done clear
  D)
   82
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  If \[\frac{x}{y}=\frac{4}{5},\]then the value of \[\frac{8}{9}=\frac{y-x}{y+x}\] is:
  A)
    2                               
  done clear
  B)
   \[\frac{2}{3}\]
  done clear
  C)
   \[\frac{3}{2}\]                         
  done clear
  D)
   1
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  What is the value of \[\frac{{{(0.99)}^{3}}+{{(0.98)}^{3}}}{0.99\times 0.99-0.99\times 0.98+0.98\times 0.98}\]?
  A)
   1.85                            
  done clear
  B)
   1.97
  done clear
  C)
   2.15                            
  done clear
  D)
   0.97
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  Which one of the following statement is true?
  A)
   The rational number \[\frac{p}{q}\] is in the simplest form if p, q have the factor other than one
  done clear
  B)
   \[\frac{35p}{33q}\]is the fraction equivalent to\[\frac{p}{q}\]
  done clear
  C)
   The rational number \[\left( \frac{p}{q} \right)\] is in the simplest form if p and q are co-prime
  done clear
  D)
   We can write only few equivalent rational numbers of \[\frac{p}{q}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  Find the length of the square in which an equilateral triangle is formed as shown in figure given below whose perimeter is \[3\,\,\frac{12}{17}\,\,m\].
  A)
   \[3\,\,\frac{12}{17}\,\,m\]                     
  done clear
  B)
   \[\frac{412}{57}m\]
  done clear
  C)
   \[1\,\,\frac{4}{17}\,\,m\]
  done clear
  D)
   \[\frac{57}{216}m\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  Simplify: \[{{\left[ {{7}^{-1}}+{{\left( \frac{3}{2} \right)}^{-1}} \right]}^{-1}}\]
  A)
   \[\frac{17}{21}\]                                  
  done clear
  B)
   \[1\,\,\frac{4}{17}\]
  done clear
  C)
   \[\frac{21}{105}\]                                
  done clear
  D)
   \[\frac{5}{121}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  Find the value of \[x\], if \[{{\left( \sqrt{6}+\sqrt{2}+\sqrt{7}+\sqrt{18}+\sqrt{6}+\frac{\sqrt{5\sqrt{5}}}{\sqrt{5}} \right)}^{x-2}}=1\]
  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_answer17)
  Find the mean proportional of \[16\,\,(x-15)\] and \[-\,9\,\,(15-x)\]
  A)
   \[13\,(x-15)\]                
  done clear
  B)
   \[14\,(x-15)\]
  done clear
  C)
   \[12\,(x-15)\]    
  done clear
  D)
   \[5\,(x-15)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  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_answer19)
  A mobile phone is sold for Rs. 3800 at the loss of 5 %. What will be the gain or loss percent, if it is sold for Rs. 4200?
  A)
   7 %                             
  done clear
  B)
   10%
  done clear
  C)
   5 %     
  done clear
  D)
   6%
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  If the cost price of 10 greeting cards is equal to the selling price of 8 greeting cards, find the gain or loss percent.
  A)
   25% gain         
  done clear
  B)
   25% loss
  done clear
  C)
   30% gain                     
  done clear
  D)
   40% loss
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  At what rate percent per annum will Rs. 1250 amount to Rs. 1425 in 4 years at simple interest?
  A)
   \[4\frac{1}{2}\]% per annum     
  done clear
  B)
   \[2\frac{1}{2}\]% per annum
  done clear
  C)
   \[3\frac{1}{2}\]% per annum
  done clear
  D)
   3 % per annum
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  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_answer23)
  In the following figure, the values of x and y are respectively:
  A)
   \[60{}^\circ \,\,and\,\,120{}^\circ \]
  done clear
  B)
   \[50{}^\circ \,\,and\,\,130{}^\circ \]
  done clear
  C)
   \[70{}^\circ \,\,and\,\,120{}^\circ \]     
  done clear
  D)
   \[20{}^\circ \,\,and\,\,120{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  In the figure given below\[XY\parallel BC\]. Which one of the following options represents the measure of angle\[x\]?
  A)
   \[47{}^\circ \] 
  done clear
  B)
   \[83{}^\circ \]
  done clear
  C)
   \[93{}^\circ \]                         
  done clear
  D)
   \[112{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  We know that median is the line segment which join the mid-point to the opposite vertex. If the bisector of an angle of a triangle is also the median of the triangle then the triangle in which this condition is not possible?
  A)
   Equilateral                   
  done clear
  B)
   Isosceles
  done clear
  C)
   Right angled                 
  done clear
  D)
   Scalene
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  In the following figure AB and CD are two poles of heights 6 m and 11 m respectively. If distance between their feet in 12 m, then the distance between their tops is :
  A)
   5 m                             
  done clear
  B)
   6 m
  done clear
  C)
   13 m               
  done clear
  D)
   17 m
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  The sides of the triangle are shown in the figure given below. Find the area of the triangle.
  A)
   \[51\,c{{m}^{2}}\]                 
  done clear
  B)
   \[52\,c{{m}^{2}}\]
  done clear
  C)
   \[53\,c{{m}^{2}}\]                 
  done clear
  D)
   \[54\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  Find the area of an isosceles triangle having the base 10 cm and the length of each equal sides is 13 cm.
  A)
   \[60\,\,c{{m}^{2}}\]   
  done clear
  B)
   \[50\,\,c{{m}^{2}}\]
  done clear
  C)
   \[54\,\,c{{m}^{2}}\]               
  done clear
  D)
   \[15\,\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  In the figure given below area of square ABCD is \[64\,c{{m}^{2}}\]. Find the area of the figure obtained by joining the midpoints of the sides of the square.
  A)
   \[32\,c{{m}^{2}}\]     
  done clear
  B)
   \[16\,c{{m}^{3}}\]
  done clear
  C)
   \[24\,c{{m}^{2}}\]                 
  done clear
  D)
   \[25\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  A field is in the form of a right triangle as shown in the figure given below with hypotenuse 10 cm and one side 8 cm. Find the area of the field.
  A)
   \[22\,c{{m}^{2}}\]                 
  done clear
  B)
   \[23\,c{{m}^{3}}\]
  done clear
  C)
   \[24\,c{{m}^{2}}\]
  done clear
  D)
   \[25\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  Find the area of the shaded region in the following figure, if ABCD is a square of side 14 cm and APB and DPC are semicircles.
  A)
   \[94\,c{{m}^{2}}\]                 
  done clear
  B)
   \[21\,c{{m}^{2}}\]
  done clear
  C)
   \[42\,c{{m}^{2}}\]     
  done clear
  D)
   \[63\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)
  The average of the following observations arranged in ascending order is 24, find 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_answer33)
  The arithmetic mean of 5 numbers is 27. If one of the numbers is excluded, their mean becomes 25. The excluded number is:
  A)
   25                               
  done clear
  B)
   26
  done clear
  C)
   32                               
  done clear
  D)
   35
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)
  What annual payment will discharge a debt of 19350 due 4 years hence at the rate of 5 % simple interest?
  A)
   Rs. 4500          
  done clear
  B)
   Rs. 3000
  done clear
  C)
   Rs. 3524                      
  done clear
  D)
   Rs. 3250
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  Simplify :\[({{y}^{3}}-2{{y}^{2}}+3y-4)\,\,(y-1)-(24-3)\,\,({{y}^{2}}-y+1)\]
  A)
   \[{{y}^{4}}-3{{y}^{3}}-16{{y}^{2}}+14y-17\]
  done clear
  B)
   \[{{y}^{4}}-3{{y}^{3}}-16{{y}^{2}}-14y-17\]
  done clear
  C)
   \[{{y}^{4}}-3{{y}^{3}}+16{{y}^{2}}+14y-17\]
  done clear
  D)
   \[{{y}^{4}}+3{{y}^{3}}-16{{y}^{2}}+14y-17\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  If \[\frac{(4z+5)\,\,(2z-3)-8{{z}^{2}}+6}{z-6}=5,\] than find the value of z.
  A)
   3        
  done clear
  B)
   \[-\,3\]
  done clear
  C)
   \[-\,5\]                         
  done clear
  D)
   5
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  The perimetre of a rectangle is 100 m. If the length is decreased by 2 m & the breadth is increased by 3 m then area increased by 44\[{{m}^{2}}\]. Find the length and breadth of the rectangle.
  A)
   30 m, 20 m      
  done clear
  B)
   40 m, 30 m
  done clear
  C)
   50 m, 40 m                  
  done clear
  D)
   100 m, 90 m
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  Two numbers are in the ratio of 2:3. If sum of their squares is 468 then find the numbers.
  A)
   (12, 16)                       
  done clear
  B)
   (12, 18)
  done clear
  C)
   (14, 20)                       
  done clear
  D)
   (12, 22)
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer39)
  Find the value of following expression:\[\frac{{{2}^{x+3}}\times {{3}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}\times {{15}^{x}}}\]
  A)
   \[-\,1\]                         
  done clear
  B)
   0
  done clear
  C)
   1
  done clear
  D)
   2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  The value of Z such, that \[\begin{matrix}    {} & 4 & 5 & 6 & Z & 8  \\    + & 3 & 4 & 5 & 6 & Z  \\    {} & 8 & 0 & 2 & 4 & 5  \\ \end{matrix}\] is:
  A)
   7        
  done clear
  B)
   8
  done clear
  C)
   9                                
  done clear
  D)
   0
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow