7th Class Mathematics Sample Paper

done Maths Olympiad Model Test Paper-5 Total Questions - 40    [Download]

• question_answer1)
  John goes 17 km towards north from a point P to another point Q. From Q he moves 27 km towards south along the same road. If the distance towards north is represented by positive integer then which integer will represent his final distance from P?
  A)
   \[-10\,km\]       
  done clear
  B)
   44 km
  done clear
  C)
   \[-34\,km\]                   
  done clear
  D)
   10 km
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer2)
  What least value must be given to '*' so that the number 97215*6 is divisible by 11?
  A)
   11                               
  done clear
  B)
   12
  done clear
  C)
   3        
  done clear
  D)
   15
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer3)
  The value of \[24-52\,\,\left\{ 5-\overline{\left( 13-8 \right)} \right\}\div [8\,\{5+(-7)\times (-9)\}]\] is?..
  A)
   124                             
  done clear
  B)
   \[-24\]
  done clear
  C)
   \[-529\]            
  done clear
  D)
   \[-\left( -24 \right)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer4)
  If \[P=45-\left[ 5+\{60-\left( 39-8 \right)\} \right]\text{ }and\text{ }Q=-12+\]\[[25-2\,\{16-9)\}]\]then\[|P|+|Q|\,=?\]is ?..
  A)
   10                               
  done clear
  B)
   \[-10\]
  done clear
  C)
   20                               
  done clear
  D)
   12
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer5)
  A boy was asked to multiply a given number by\[\left( \frac{8}{17} \right)\]. Instead he divided the given number by \[\left( \frac{8}{17} \right)\]and got the result 225 more than that number, the given number was........
  A)
   8                                
  done clear
  B)
   17
  done clear
  C)
   64                               
  done clear
  D)
   136
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer6)
  Jasmine spends \[\frac{\text{3}}{\text{5}}\text{th}\]of her income on household articles and \[\frac{1}{7}\text{th}\] of her income as personal expense. If her monthly income is $ 70000, then her monthly savings is ??.
  A)
  $ 9000
  done clear
  B)
   $ 18000
  done clear
  C)
   $ 12000
  done clear
  D)
  $ 7000
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer7)
  Find the terminating decimals from the following fractions: \[\frac{23}{25},\frac{219}{175},\frac{337}{80},\frac{29}{198},\frac{19}{512}\]
  A)
   \[\frac{23}{25},\frac{219}{175},\frac{337}{80}\]          
  done clear
  B)
   \[\frac{337}{80},\frac{29}{198},\frac{19}{512}\]
  done clear
  C)
   \[\frac{219}{175},\frac{337}{80},\frac{29}{198}\]        
  done clear
  D)
   \[\frac{23}{25},\frac{337}{80},\frac{19}{512}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer8)
  If \[\sqrt{4096}=64\] then the value of \[\sqrt{40.96}+\sqrt{0.4096}+\sqrt{0.004096}+\sqrt{0.00004096}\]is:
  A)
   7.09                            
  done clear
  B)
   17.1014
  done clear
  C)
   7.1104
  done clear
  D)
   7.12
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer9)
  Arrange the following rational numbers in descending order \[\frac{17}{30},\frac{-\,3}{-\,5},\frac{4}{-\,15},\frac{-\,7}{15}\]
  A)
   \[\frac{-\,3}{-\,5}<\frac{17}{30}<\frac{4}{-15}<\frac{-\,7}{15}\]
  done clear
  B)
   \[\frac{-\,3}{-\,5}>\frac{17}{30}>\frac{4}{-\,15}>\frac{-\,7}{15}\]
  done clear
  C)
   \[\frac{17}{30}>\frac{-\,3}{-\,5}>\frac{4}{-\,15}>\frac{-\,7}{15}\]
  done clear
  D)
   \[\frac{4}{-\,15}<\frac{-\,7}{15}<\frac{-\,3}{-\,5}<\frac{17}{30}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer10)
  Peter defines a rational number in the following ways. "It is of the form\[\frac{p}{q}\], where q is the smallest whole number." This definition is _______
  A)
   Always true
  done clear
  B)
   Represents some rational number only
  done clear
  C)
   Some as the definition of rational number
  done clear
  D)
   Always false
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer11)
  Which one of the following statement is false?
  A)
   "0" is a positive rational number
  done clear
  B)
   A positive rational number is in the form\[\frac{p}{q}\], where p and q are integers of same sign and \[q\ne 0\]
  done clear
  C)
   A negative rational number is of the form of\[\frac{p}{q},\]where p and q are integer of opposite sign and \[q\ne 0\]
  done clear
  D)
   A positive rational number is always greater than the negative rational number
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer12)
  Evaluate: \[{{\left( \frac{4}{9} \right)}^{\frac{3}{2}}}\times {{\left( \frac{4}{9} \right)}^{\frac{1}{2}}}\]
  A)
   \[{{\left( \frac{4}{9} \right)}^{2}}\]      
  done clear
  B)
   \[{{\left( \frac{81}{16} \right)}^{4}}\]
  done clear
  C)
   \[{{\left( \frac{4}{9} \right)}^{4}}\]                  
  done clear
  D)
   \[\frac{4}{27}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer13)
  Evaluate: \[{{\left[ {{\left\{ {{\left( 625 \right)}^{-\frac{1}{2}}} \right\}}^{-\frac{1}{4}}} \right]}^{2}}\]
  A)
   2                                
  done clear
  B)
   3
  done clear
  C)
   4                                
  done clear
  D)
   5
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer14)
  The value of \[\frac{{{2}^{x+3}}\times {{3}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}\times {{15}^{x}}}\] is:
  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_answer15)
  Find the value of\[\frac{{{x}^{3}}+{{y}^{3}}+{{z}^{3}}-3xyz}{{{x}^{2}}+{{y}^{2}}+{{z}^{2}}-xy-yz-zx}\], if  \[x=1,\]\[y=2\]and \[z=-1\].
  A)
   24                               
  done clear
  B)
   14
  done clear
  C)
   7                                
  done clear
  D)
   2
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer16)
  Find the value of A, B, C, D, E, F, G, H and I for which \[\left( ABC \right)\times \left( DEF \right)=GHI\]
  A)
   (6, 5, 7, 8, 2, 6, 1, 8, 4)
  done clear
  B)
   (7, 9, 5, 2, 6, 4, 8, 4, 0)
  done clear
  C)
   (4, 6, 7, 8, 5, 7, 0, 8, 9)
  done clear
  D)
   (1, 0, 3, 7, 8, 4, 2, 1, 0)
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer17)
  The expanded form of \[{{\left( 2x+3y-5z \right)}^{2}}\]is ___­­­­­___.
  A)
   \[4{{x}^{2}}+9{{y}^{2}}+\text{ }25{{z}^{2}}+12xy-30yz-20zx\]
  done clear
  B)
   \[5{{x}^{2}}-6{{y}^{2}}+15{{z}^{2}}+12xy-36{{y}^{6}}+21x{{y}^{2}}\]
  done clear
  C)
   \[8{{x}^{2}}+{{y}^{2}}-{{z}^{2}}+7{{x}^{2}}+2{{z}^{2}}+9{{z}^{2}}y\]
  done clear
  D)
   \[1{{z}^{2}}-{{z}^{2}}-{{8}^{2}}-{{75}^{2}}+2{{x}^{2}}-98{{y}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer18)
  If \[x-\frac{1}{x}=7,\]then the value of \[{{x}^{4}}+\frac{1}{{{x}^{4}}}=\]:
  A)
   2600               
  done clear
  B)
   2603
  done clear
  C)
   2601                           
  done clear
  D)
   2401
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer19)
  Which one of the following options is the solution of the equation\[\frac{4x-3}{2x+3}=\frac{5}{7}\]?
  A)
   2        
  done clear
  B)
   4
  done clear
  C)
   10                               
  done clear
  D)
   9
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer20)
  The factor of \[4\,{{p}^{2}}+{{q}^{2}}+16-4\,pq+8\,q-16p\] is:
  A)
   \[\left( -2p-q+4 \right)\,\,\left( -2p+q+4 \right)\]
  done clear
  B)
   \[\left( 2p+q+4 \right)\,\,\left( 2p+q+4 \right)\]
  done clear
  C)
   \[\left( -2p+q+4 \right)\,\,\left( -2p+q+4 \right)\]
  done clear
  D)
   \[\left( -2p+q-4 \right)\,\,\left( -2p+q-4 \right)\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer21)
  If\[4x+3y:6x+5y=\frac{11}{17},\]then find \[x:y\].
  A)
   0 : 1                            
  done clear
  B)
   2 : 1
  done clear
  C)
   1 : 0                            
  done clear
  D)
   5 : 0
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer22)
  If A, B, C, D are quantities of same kind and the ratio of A to B is 3 : 4, B to C is 5 : 7 and C to D is 8 : 9 then the ratio of

  1. A to C is 15 : 28

  2. B to D is 40 : 63

  3. A to D is 10 : 21

  Which one of the following options is correct?

  A)
   1, 2 and 3        
  done clear
  B)
   1 and 2
  done clear
  C)
   2 and 3           
  done clear
  D)
   1 and 5
  done clear
  E)
   None of These
  done clear
  View Answer play_arrow

• question_answer23)
  The population of a village is 4500. \[{{\left( \frac{11}{18} \right)}^{th}}\]of them are male and the rest are female. If 40 % of the females are married then find the number of married females.
  A)
   1750               
  done clear
  B)
   700
  done clear
  C)
   750                             
  done clear
  D)
   900
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer24)
  Match the following:

  Sr. No.	Numbers		Values
  1	0.5 is what % of 1/3?	(A)	4%
  2	What % of 7 is 84?	(B)	150%
  3	What % of 6.5 litre is 130 ml?	(C)	2%
  4	What % of 125 is 5?	(D)	1200%

  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_answer25)
  By selling 42 oranges, a person losses a sum equal to the selling price of 8 oranges. Find the loss percent.
  A)
   13 %               
  done clear
  B)
   16 %
  done clear
  C)
   15 %               
  done clear
  D)
   18 %
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer26)
  The price of pure mustard oil is Rs. 100 per litre. A shopkeeper adulterates it with some other types of oil at Rs. 50 per litre. He sells the mixture at the rate of Rs. 96 per litre in order to gain 20 % on whole transaction. The ratio in which he mixed the two oil is ________.
  A)
   1 : 2                            
  done clear
  B)
   2 : 3
  done clear
  C)
   3 : 2    
  done clear
  D)
   1 : 4
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer27)
  A sum of Rs. 1300 is lend into two parts so that interest on the 1st part for 3 years at 5 % may be equal to the interest at the second part for 4 year at 6 %. The 1st sum is_________.
  A)
   Rs. 800
  done clear
  B)
   Rs. 600
  done clear
  C)
   Rs. 500            
  done clear
  D)
   Rs. 400
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer28)
  Find the amount & compound interest on Rs. 33,280 for 3 years, if the rate of interest is \[12\,\,\frac{1}{2}%\]p. a.
  A)
   47,835 & 11,405          
  done clear
  B)
   47,385 & 14,105
  done clear
  C)
   43,875 & 12,425          
  done clear
  D)
   43,785 & 14,225
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer29)

  In the following AD is the bisector of \[\angle EAF\]

  Which one of the following statements is incorrect?

  A)
   \[\angle EAD\] is an acute angle
  done clear
  B)
   \[\angle BAE\] is an obtuse angle
  done clear
  C)
   \[\angle FAD\]and \[\angle DAE\]are complement to each other
  done clear
  D)
   \[\angle CAD\]and \[\angle DAE\]are not complement to each other
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer30)
  Find the value of \[x\] in the figure given below.
  A)
   \[15{}^\circ \] 
  done clear
  B)
   \[20{}^\circ \]
  done clear
  C)
   \[9{}^\circ \]                           
  done clear
  D)
   \[5{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer31)
  In the adjoining figure, BC is produced to D and CA is produced to E, and \[\angle DCA=108{}^\circ \]and \[EAB=124{}^\circ \] then the value of \[x\] is............
  A)
   \[48{}^\circ \]                         
  done clear
  B)
   \[52{}^\circ \]
  done clear
  C)
   \[76{}^\circ \]                         
  done clear
  D)
   \[128{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer32)

  In the given figure P is the point on side BC.

  Which one of the following is correct?

  A)
   \[\left( AB+BC+CA \right)<2AP\]
  done clear
  B)
   \[\left( AB+BC+CA \right)>2AP\]
  done clear
  C)
   \[\left( AB+BC+CA \right)<AP\]
  done clear
  D)
   \[\left( AB+BC+CA \right)>AP\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer33)
  Which one of the following is not possible to construct?
  A)
   A triangle whose angles are \[60{}^\circ ,\]\[75{}^\circ ,\]\[45{}^\circ \]
  done clear
  B)
   A line segment of length 20 cm
  done clear
  C)
   A line of length 15 cm
  done clear
  D)
   A triangle ABC in which \[AB=5\text{ }cm,\text{ }BC=4\]cm and angle B is \[90{}^\circ \]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer34)

  When Furgusan measures the sides of triangle PQR

  He finds that PQ = 5 cm, PR = 12 cm and QR = 13 cm. Which one of the following options is correct?

  A)
   Triangle PQR is a scalene triangle in which angle \[P=45{}^\circ \]
  done clear
  B)
   Triangle PQR is acute angled triangle
  done clear
  C)
   Triangle PQR is a right angled triangle in which right angle is at Q
  done clear
  D)
   Triangle PQR is a right angled triangle in which right angle is at P
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer35)
  A field is in the form of a right triangle with hypotenuse 10 m and one side 8 m. Find the area of the field.
  A)
   \[22\,\,{{m}^{2}}\]                
  done clear
  B)
   \[23\,\,{{m}^{2}}\]
  done clear
  C)
   \[24\,\,{{m}^{2}}\]    
  done clear
  D)
   \[25\,\,{{m}^{2}}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer36)
  The area of an equilateral triangle is\[173.2\text{ }c{{m}^{2}}\]. Find the perimetre of the triangle.
  A)
   27.5 cm                       
  done clear
  B)
   4.5 cm
  done clear
  C)
   60 cm 
  done clear
  D)
   10 cm
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer37)
  If a, b, c, d and e are five consecutive odd numbers, then what is their mean?
  A)
   b                                
  done clear
  B)
   c
  done clear
  C)
   e                                 
  done clear
  D)
   a
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer38)
  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

• question_answer39)
  At a car park there are 100 vehicles, 60 of them are cars, 30 are vans and the remainder are Lorries. If every vehicle is equally likely to leave then find the probability of car left second if Lorry or van has left first.
  A)
   \[\frac{1}{10}\]                        
  done clear
  B)
   \[\frac{1}{5}\]
  done clear
  C)
   \[\frac{20}{33}\]          
  done clear
  D)
   \[\frac{10}{33}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow

• question_answer40)
  Five cards are drawn from the pack of 52 cards which contains a nine, a jack, a king, a queen and an ace of the spades, with their face downward. One card drawn at random from the above set, find the probability that the card is of queen.
  A)
   \[\frac{1}{13}\]                        
  done clear
  B)
   \[\frac{1}{5}\]
  done clear
  C)
   1                                
  done clear
  D)
   \[\frac{2}{26}\]
  done clear
  E)
   None of these
  done clear
  View Answer play_arrow