7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-15 Total Questions - 50    [Download]

• question_answer1)
  Simplify: \[44-\,\,\left[ 1+\frac{1}{5}\,\,\left\{ 12\div 4-2\,\,(1-\overline{5-3)} \right\} \right]\]
  A)
   40                               
  done clear
  B)
   42
  done clear
  C)
   46                               
  done clear
  D)
   34
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  The product of given 11 fractions is: \[\left( 1-\frac{1}{3} \right)\left( 1-\frac{1}{4} \right)\left( 1-\frac{1}{5} \right)\left( 1-\frac{1}{6} \right)..........\left( 1-\frac{1}{13} \right)\]
  A)
   \[\frac{1}{13}\]                        
  done clear
  B)
   \[\frac{16}{13}\]
  done clear
  C)
   \[\frac{2}{13}\]
  done clear
  D)
   \[\frac{12}{13}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  In the given Magic square, each row, column and diagonal have the same sum? Find the product of A and B.

  \[-2\]	A	20
  26	4	\[-18\]
  \[-12\]	14	B

  A)
   \[-40\]                          
  done clear
  B)
   \[-60\]
  done clear
  C)
   36                               
  done clear
  D)
   \[-28\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  What is the least number which when divided by 6, 9, 11 and 12 leaves remainder 5 in each case?
  A)
   401     
  done clear
  B)
   391
  done clear
  C)
   396                             
  done clear
  D)
   408
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  Fraction represented by unshaded parts in the given figure is:
  A)
   \[\frac{11}{16}\]          
  done clear
  B)
   \[\frac{13}{16}\]
  done clear
  C)
   \[\frac{9}{16}\]                        
  done clear
  D)
   \[\frac{3}{8}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  Simplify: \[3.02\times {{10}^{-\,3}}+8.63\times {{10}^{-\,4}}+2.044\times {{10}^{-\,3}}\]
  A)
   \[4.972\times {{10}^{-3}}\]                 
  done clear
  B)
   \[5.497\times {{10}^{-3}}\]
  done clear
  C)
   \[5.927\times {{10}^{-3}}\]     
  done clear
  D)
   \[3.837\times {{10}^{-3}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  The value of \[\frac{{{100}^{97}}+{{100}^{100}}}{{{100}^{97}}}-1\] is equal to:
  A)
   \[{{10}^{5}}\]                                   
  done clear
  B)
   \[{{10}^{6}}\]
  done clear
  C)
   \[{{10}^{8}}\]                                   
  done clear
  D)
   \[{{10}^{4}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  Which of the following divisions does not give the quotient as an integer?
  A)
   \[16\div \left( -4 \right)\]             
  done clear
  B)
   \[-35\div 15\]
  done clear
  C)
   \[75\div \left( -25 \right)\]            
  done clear
  D)
   \[105\div 7\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  If \[{{6}^{x-4}}={{9}^{4-x}},\]then find the value of\[x\].
  A)
   8                                
  done clear
  B)
   4
  done clear
  C)
   3                                
  done clear
  D)
   \[-\,4\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  The unit digit in the given product is: \[(31187\times 82624\times 10233)\]
  A)
   5                                
  done clear
  B)
   7
  done clear
  C)
   2                                
  done clear
  D)
   4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  How many prime numbers are there in the given prime factorization? \[({{26}^{9}}\times {{35}^{6}}\times \text{1}{{\text{1}}^{40}})\]
  A)
   55                               
  done clear
  B)
   64
  done clear
  C)
   60                               
  done clear
  D)
   70
  done clear
  E)
   72
  done clear
  View Answer play_arrow

• question_answer12)
  If \[{{x}^{2}}+\frac{1}{{{x}^{2}}}=6,\]the value of \[\left( x-\frac{1}{x} \right)\] is:
  A)
   4                                
  done clear
  B)
   1
  done clear
  C)
   2        
  done clear
  D)
   3
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  \[({{3}^{5}}+{{3}^{5}}+{{3}^{5}}+{{3}^{5}}+{{3}^{5}}+{{3}^{5}}+{{3}^{5}}+{{3}^{5}}+{{3}^{5}})\]is equal to:
  A)
   \[{{3}^{15}}\]                                   
  done clear
  B)
   \[{{3}^{45}}\]
  done clear
  C)
   \[{{3}^{6}}\]                         
  done clear
  D)
   \[{{3}^{7}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  The ages of Anuj and his daughter are in the ratio 11 : 3. After 7 years their ages will be in the ratio 5 : 2. The present age difference of Anuj and his daughter is:
  A)
   18 years                      
  done clear
  B)
   24 years
  done clear
  C)
   16 years                      
  done clear
  D)
   28 year
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer15)
  If \[A:B=6:7\] and \[B:C=21:15,\] then find\[A:C\].
  A)
   5 : 6                            
  done clear
  B)
   2 : 5
  done clear
  C)
   6 : 5    
  done clear
  D)
   5 : 2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  A student has to secure 33% marks to pass. He got 349 marks and failed by 47 marks. Find the maximum marks to be scored.
  A)
   1000               
  done clear
  B)
   1200
  done clear
  C)
   1500                           
  done clear
  D)
   800
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  The ratio of two numbers is \[2:5\]. If the product of their L.C.M. and H.C.F. is 2560, then the sum of numbers is:
  A)
   119                             
  done clear
  B)
   224
  done clear
  C)
   15                               
  done clear
  D)
   126
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  A man sold 6 eggs for Rs. 30 and gained 25%. How many eggs did he buy for Rs. 36?
  A)
   12                               
  done clear
  B)
   10
  done clear
  C)
   15                               
  done clear
  D)
   8
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  What number should be added to each of the numbers 1, 3, 9 and 15 so that the numbers are in proportion?
  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_answer20)
  Find the difference between the Compound Interest and Simple Interest on the sum of Rs. 1000 at 10% per annum for 3 years.
  A)
   Rs. 21             
  done clear
  B)
   Rs. 31
  done clear
  C)
   Rs. 35             
  done clear
  D)
   Rs. 41
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  In the given figure, it is given that \[PQ\left| \text{ } \right|RS,\] \[\angle MRS=116{}^\circ \] and \[\angle PMR=118{}^\circ \]. Determine the value of\[x\].
  A)
   124                             
  done clear
  B)
   126
  done clear
  C)
   122                             
  done clear
  D)
   128
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  In the given triangle, \[\angle A=90{}^\circ \]and D is the mid-point of AB. The value of \[B{{C}^{2}}-C{{D}^{2}}\]is equal to:
  A)
   \[A{{B}^{2}}\]                                  
  done clear
  B)
   \[\frac{1}{2}\,\,A{{B}^{2}}\]
  done clear
  C)
   \[\frac{1}{4}\,\,A{{B}^{2}}\]             
  done clear
  D)
   \[\frac{3}{4}\,\,A{{B}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer23)
  In the given figure, the value of x is:
  A)
   \[41{}^\circ \]             
  done clear
  B)
   \[48{}^\circ \]
  done clear
  C)
   \[46{}^\circ \]                         
  done clear
  D)
   \[53{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  In the given triangles, \[\angle 1=\angle 2\] and \[AB=DE\]. To prove that \[\Delta ABC\cong \Delta DEF\] by SAS, what additional information is needed?
  A)
   \[\overline{BC}\cong \overline{EF}\]                   
  done clear
  B)
   \[\overline{AC}\cong \overline{DF}\]
  done clear
  C)
   \[\angle ACB\cong \angle DFE\]  
  done clear
  D)
   \[\angle ABC\cong \angle DEF\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer25)
  In the given figure, all line segments of the shaded portion are of same length and at right angle to each other. Find the area of unshaded part.
  A)
   \[900\,\,c{{m}^{2}}\]             
  done clear
  B)
   \[925\,\,c{{m}^{2}}\]
  done clear
  C)
   \[588\,\,c{{m}^{2}}\]
  done clear
  D)
   \[637\,\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  The radius of given circle with centre O is 7 cm and \[\Delta \,ABC\]is a right angled triangle. Find the area of shaded portion. \[\left( \text{Use}\,\pi =\frac{22}{7} \right)\]
  A)
   \[7\,c{{m}^{2}}\]                   
  done clear
  B)
   \[35\,\,c{{m}^{2}}\]
  done clear
  C)
   \[14\,\,c{{m}^{2}}\]               
  done clear
  D)
   \[28\,\,c{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  The mean of 6 numbers is 25. If one number is excluded, mean of the remaining numbers becomes 29, then the excluded number is:
  A)
   5        
  done clear
  B)
   10
  done clear
  C)
   12                               
  done clear
  D)
   15
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  Find the probability that a student chosen at random out of 5 girls and 8 boys is a boy.
  A)
   \[\frac{5}{13}\]                        
  done clear
  B)
   \[\frac{1}{8}\]
  done clear
  C)
   \[\frac{5}{8}\]                         
  done clear
  D)
   \[\frac{8}{13}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)
  In a pie chart, the central angle for a component value of 320 when the total value of 1440, is __________.
  A)
   \[90{}^\circ \]                         
  done clear
  B)
   \[85{}^\circ \]
  done clear
  C)
   \[80{}^\circ \] 
  done clear
  D)
   \[75{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  If A and B are two finite sets such that \[n\,(A)=60,\]\[n\,(A\cup B)=140\] and \[n\,(A\cap B)=30,\] then find n (B1).
  A)
   90                               
  done clear
  B)
   110
  done clear
  C)
   120                             
  done clear
  D)
   50
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  If \[W=23,\] \[WE=14\] and \[WEB=10,\]then WEEK = ?
  A)
   13                               
  done clear
  B)
   11
  done clear
  C)
   12                               
  done clear
  D)
   9
  done clear
  E)
   10
  done clear
  View Answer play_arrow

• question_answer32)
  Find the missing term in the series given below: \[89,\,\,78,\,\,68,\,\,59,\,\,51,\,\,\underline{?},\,\,38\]
  A)
   42                               
  done clear
  B)
   41
  done clear
  C)
   45                               
  done clear
  D)
   44
  done clear
  E)
   43
  done clear
  View Answer play_arrow

• question_answer33)
  Which number is on the opposite surface of number 6 in the given dice?
  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_answer34)
  Find the number which replace the question mark (?) if same rule is followed row-wise or column-wise.

  3	6	9
  5	8	2
  7	?	10
  30	50	42

  A)
   10                               
  done clear
  B)
   11
  done clear
  C)
   22                               
  done clear
  D)
   36
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  How many triangles are there in the given figure?
  A)
   14       
  done clear
  B)
   13
  done clear
  C)
   15                               
  done clear
  D)
   17
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  Choose the one which does not belong to the group.
  A)
   EGIK               
  done clear
  B)
   ACEG
  done clear
  C)
   PRTV              
  done clear
  D)
   MOPR
  done clear
  E)
   DFHJ
  done clear
  View Answer play_arrow

• question_answer37)
  'Mr. Das' is the husband of 'Anushka'. 'Priyanka' is the sister of 'Mr. Das'. 'Neha' is the sister of 'Priyanka'. How 'Neha' is related to 'Mr. Das'?
  A)
   Daughter                      
  done clear
  B)
   Sister
  done clear
  C)
   Sister-in-law                 
  done clear
  D)
   Aunty
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  There is a certain relationship between the figures (i) and (ii). Establish the same relationship between figures (iii) and (iv) by selecting a suitable figure from the options that will replace the question mark (?) in figure (iv).
  A)
                   
  done clear
  B)
   
  done clear
  C)
                   
  done clear
  D)
   
  done clear
  E)
   
  done clear
  View Answer play_arrow

• question_answer39)
  Which figure will replace the question mark (?) in figure pattern given below?
  A)
                     
  done clear
  B)
   
  done clear
  C)
                   
  done clear
  D)
   
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  Find the mirror image.
  A)
            
  done clear
  B)
   
  done clear
  C)
            
  done clear
  D)
   
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer41)
  If \[A=\frac{{{2}^{x+3}}\times {{2}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}\times {{15}^{x}}}\times {{\left( \frac{2}{3} \right)}^{y-2x}}\]and \[B={{27}^{\frac{6}{5}}}\div {{27}^{\frac{1}{5}}},\] then the value of (A + B) will be:
  A)
   27                               
  done clear
  B)
   28
  done clear
  C)
   82                               
  done clear
  D)
   29
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer42)
  In a school, 15% of girls are same in number as \[\frac{2}{5}th\] of the boys. What is the ratio of the number of girls to the numbers of boys?
  A)
   8 : 3    
  done clear
  B)
   8 : 5
  done clear
  C)
   4 : 3                            
  done clear
  D)
   5 : 4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer43)
  If \[x+y=6\] and \[{{x}^{2}}-{{y}^{2}}=24p\], then the product of \[x\] and \[y\] is:
  A)
   \[4\,{{p}^{2}}-9\]                  
  done clear
  B)
   \[9\,{{p}^{2}}-4\]
  done clear
  C)
   \[4-9\,{{p}^{2}}\]                  
  done clear
  D)
   \[9-4\,{{p}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer44)
  If \[\left( 7a+3b \right):\left( 4a+9b \right)=9:7,\] then the value of \[\frac{2\,a+b}{2\,a-b}\]is:
  A)
   \[\frac{139}{109}\]                              
  done clear
  B)
   \[\frac{120}{113}\]
  done clear
  C)
   \[\frac{133}{107}\]      
  done clear
  D)
   \[\frac{129}{105}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer45)
  In the given figure,\[AB\text{ }\!\!|\!\!\text{ }|DE,\] determine the value of \[x\].
  A)
   30       
  done clear
  B)
   25
  done clear
  C)
   20                               
  done clear
  D)
   35
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer46)
  In the given figure, ABCD is a rectangle. ABP and DQC are two semicircles. Find the area of shaded portion.\[\left( Use\,\,\pi =\frac{22}{7} \right)\]
  A)
   \[46\,\,{{m}^{2}}\]                
  done clear
  B)
   \[42\,\,{{m}^{2}}\]
  done clear
  C)
   \[44\,\,{{m}^{2}}\]                
  done clear
  D)
   \[40\,\,{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer47)
  In the given figure, outer rectangle ABCD is made by arranging the inner rectangle PQRS surrounded by four rectangles I, II, III and IV whose breadths are same. Perimeters of two congruent rectangles I and II are 36 m each, and the perimeters of other two congruent rectangles III and IV are 56 m each. Find the area of rectangle ABCD.
  A)
   \[512\text{ }{{m}^{2}}\]                    
  done clear
  B)
   \[504\text{ }{{m}^{2}}\]
  done clear
  C)
   \[606\text{ }{{m}^{2}}\]                    
  done clear
  D)
   \[576\text{ }{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer48)
  17 numbers are arranged in ascending order whose average is 27. If the average of first 7 numbers is 15 and the average of last 7 numbers is 36, then the average of remaining numbers will be:
  A)
   32                               
  done clear
  B)
   34
  done clear
  C)
   39                               
  done clear
  D)
   31
  done clear
  E)
   None of these.
  done clear
  View Answer play_arrow

• question_answer49)
  Find, the reciprocal of the fraction represented by shaded parts in the given figure.
  A)
   \[\frac{8}{3}\]                         
  done clear
  B)
   \[\frac{16}{7}\]
  done clear
  C)
   \[\frac{16}{9}\]
  done clear
  D)
   2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer50)
  A steamer goes downstream from one place to another in 8 hours. It covers the same distance up stream in 9 hours. If the speed of the stream is 2 km/h, then the speed of the steamer in still water is:
  A)
   35 km/h                       
  done clear
  B)
   24 km/h
  done clear
  C)
   34 km/h           
  done clear
  D)
   32 km/h
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow