7th Class Mathematics Sample Paper

done Mathematics Sample Paper-4 Total Questions - 23    [Download]

• question_answer1)
  There are 100 questions in the test booklet of Mathematics. If Stephen scores 140 marks when 2 marks are awarded for each correct answers and 1 marks is deducted for each incorrect answer then find the number of correct answers attempted by Stephen if he attempted all questions.
  A)
  65                    
  done clear
  B)
  85
  done clear
  C)
  80    
  done clear
  D)
  75
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer2)
  A boy was asked to add \[5\frac{3}{5}\] to a given number. Instead of adding he subtract \[5\frac{3}{5}\] from the given number and got the result as \[\frac{1}{3}\]of the given number. Find the reciprocal of the given number.
  A)
  \[\frac{42}{5}\] 
  done clear
  B)
         \[\frac{5}{28}\]
  done clear
  C)
  \[\frac{5}{42}\]             
  done clear
  D)
  \[\frac{5}{14}\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer3)
  The value of \[\frac{{{2}^{x+3}}\times {{3}^{2x-y}}\times {{5}^{x+y+3}}\times {{6}^{y+1}}}{{{6}^{x+1}}\times {{10}^{y+3}}}\]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_answer4)
  If \[P=\frac{-14}{5}\times \left( \frac{-10}{9} \right)\times \left( \frac{22}{7} \right)\] 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)
  \[-3\frac{14}{25}\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer5)
  Evaluate: \[{{\left( 2p-\frac{1}{2}q+r \right)}^{2}}\]
  A)
  \[4{{p}^{2}}+\frac{1}{4}{{q}^{2}}+{{r}^{2}}-2pq-2qr+4pr\]
  done clear
  B)
  \[2{{p}^{2}}+\frac{1}{4}{{q}^{2}}+{{r}^{2}}-2pq-2qr+4pr\]
  done clear
  C)
  \[4{{p}^{2}}+\frac{1}{4}{{q}^{2}}+{{r}^{2}}-2pq+qr+4pr\]
  done clear
  D)
  \[4{{p}^{2}}+\frac{1}{4}{{q}^{2}}+{{r}^{2}}-2pq-qr+4pr\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer6)
  Due to reduction of 20 % in the price of petrol, a man is able to buy 1.5 litre more petrol for Rs.  1200. The reduced rate of petrol per litre is:
  A)
  Rs. 180             
  done clear
  B)
  Rs. 160      
  done clear
  C)
  Rs. 170             
  done clear
  D)
  Rs. 200
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer7)
  Solve for z \[\frac{z+6}{4}+\frac{z-3}{5}=\frac{5z-4}{6}\]
  A)
  \[\frac{130}{23}\] 
  done clear
  B)
                     \[\frac{94}{23}\]
  done clear
  C)
  \[\frac{272}{43}\]         
  done clear
  D)
  \[\frac{236}{23}\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer8)

  A, B, C, D are quantities of same kind and the ratio of A to B is 3 : 5, B to C is 7 :9and C to D is 3 : 11, then

  Statement 1: A : B is greater than C : D.

  Statement 2: B : D is the greatest among them.

  Statement 3: A : B is greater than B : C.

  Which one of the following options represents the correct statement?

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

• question_answer9)
  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 so that to gain 20 % on whole transaction. The ratio in which he mixed the two oils 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_answer10)
  Find the percent of loss if a man bought a scooty for Rs. 35680 and sold if for Rs. 32160.
  A)
  4.60%              
  done clear
  B)
  2.84%
  done clear
  C)
  9.86%              
  done clear
  D)
  8.67%
  done clear
  E)
  None of these
  done clear
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• question_answer11)
  Peterson invested certain sum of money 9 years ago. He puts his money at the rate of 4% for first 2 years, 6% per annum for the next 4 years and 8% per annum for the period beyond 6 years. If at the end of the period he gets the simple interest as Rs. 1120, then his principal sum was:
  A)
  Rs. 2000
  done clear
  B)
         Rs. 2500      
  done clear
  C)
  Rs. 3000           
  done clear
  D)
  Rs. 3500
  done clear
  E)
  None of these
  done clear
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• question_answer12)
  The traffic police recorded the speed (in km/h) of 8 cars as 47, 53, 49, 60, 39, 42, 48 and 52. Later on an error in the recording instrument was found. Find the correct mean speed of the cars if the instrument recorded 6 km/h more in each case.
  A)
  55.2 km/h         
  done clear
  B)
  56.2 km/h   
  done clear
  C)
  42.75 km/h
  done clear
  D)
  58.2 km/h
  done clear
  E)
  None of them
  done clear
  View Answer play_arrow

• question_answer13)
  How many prime numbers are there in \[{{35}^{3}}\times {{11}^{10}}\times {{6}^{7}}\]?
  A)
  42        
  done clear
  B)
  32
  done clear
  C)
  30        
  done clear
  D)
  25
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer14)
  A number is 62 more than the average of its quarter and one-fifth. Find the number.
  A)
  57        
  done clear
  B)
  80
  done clear
  C)
  49        
  done clear
  D)
  36
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer15)
  If \[\frac{x}{y}=\frac{4}{5}\], then the value of \[\frac{8}{9}+\frac{y-x}{y+x}\]is:
  A)
  \[\frac{2}{3}\]              
  done clear
  B)
  \[\frac{3}{2}\]
  done clear
  C)
  \[\frac{2}{3}\]              
  done clear
  D)
  1
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer16)
  Simplify: \[{{\left[ {{7}^{-1}}+{{\left( \frac{3}{2} \right)}^{-1}} \right]}^{-1}}\]
  A)
  \[\frac{17}{21}\]           
  done clear
  B)
  \[\frac{5}{151}\]
  done clear
  C)
  \[1\frac{4}{17}\]   
  done clear
  D)
  \[\frac{21}{105}\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer17)
  Find the value of the given 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)
  0                     
  done clear
  B)
  1
  done clear
  C)
  \[-1\]                
  done clear
  D)
  \[-2\]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer18)
  By adding the numbers 456z8 and 3456z we get 80245. Find the value of z.
  A)
  8                     
  done clear
  B)
  7
  done clear
  C)
  0                     
  done clear
  D)
  9
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer19)
  Find the value of \[1-[2-\{5-(4-\overline{3-2})\}]\]
  A)
  2                     
  done clear
  B)
  3
  done clear
  C)
  1                     
  done clear
  D)
  0
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer20)
  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_answer21)
  Find the value of \[{{\left\{ {{(216)}^{\frac{2}{3}}} \right\}}^{\frac{1}{2}}}\]
  A)
  8                     
  done clear
  B)
  4
  done clear
  C)
  10                    
  done clear
  D)
  6
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer22)
  If \[{{27}^{h}}=\frac{9}{{{3}^{y}}}\], 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_answer23)
  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
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