9th Class Mathematics Sample Paper

done Mathematics Sample Paper-3 Total Questions - 23    [Download]

• question_answer1)
  If \[x=\sqrt{3+\sqrt{3+\sqrt{3+}}}\]...... , then the value of x is:
  A)
  \[\frac{1\underline{+}\sqrt{12}}{2}\]
  done clear
  B)
         \[\frac{1\underline{+}\sqrt{13}}{2}\]
  done clear
  C)
  \[\frac{1\underline{+}\sqrt{11}}{2}\]      
  done clear
  D)
  \[\frac{1\underline{+}\sqrt{14}}{2}\]
  done clear
  E)
  None of these
  done clear
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• question_answer2)
  The zeroes of the polynomial \[3{{y}^{2}}+y-4\]are:
  A)
  \[\frac{4}{3}and\,\,1\]   
  done clear
  B)
  \[-\frac{4}{3}and\,\,1\]
  done clear
  C)
  \[\frac{4}{3}and\,\,-1\]  
  done clear
  D)
  \[-\frac{4}{3}and\,\,-1\]
  done clear
  E)
  None of these
  done clear
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• question_answer3)
  The equation \[lo{{g}_{a}}x+lo{{g}_{a}}\left( 1+x \right)=0\]is same as:
  A)
  \[{{x}^{2}}+x=0\]     
  done clear
  B)
  \[{{x}^{2}}-1=0\]
  done clear
  C)
  \[{{x}^{2}}+x-1=0\]
  done clear
  D)
  \[{{x}^{2}}+x-2=0\]
  done clear
  E)
  None of these
  done clear
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• question_answer4)
  Which of the following values does not satisfies \[\frac{x}{2}+\frac{y}{4}=15\]?
  A)
  (30, 0)  
  done clear
  B)
  (0, 60)
  done clear
  C)
  (10, 40)
  done clear
  D)
  (20, 15)
  done clear
  E)
  None of these
  done clear
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• question_answer5)
  If LP, MQ and NR are the medians of \[\Delta LMN\], then which of the following condition is correct?
  A)
  (LM + MN + NP) < (LP + MQ + NR)
  done clear
  B)
  (LM + MN + NP) > (NP + MQ + NR)
  done clear
  C)
  (LM + MN + LN) > (LP +MQ + NR)
  done clear
  D)
  (d)\[(L{{M}^{2}}+M{{N}^{2}}+N{{P}^{2}})>(L{{P}^{2}}+M{{Q}^{2}}+N{{R}^{2}})\]
  done clear
  E)
  None of these
  done clear
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• question_answer6)
  The angles of a quadrilateral are respectively\[100{}^\circ \],\[98{}^\circ \] and\[92{}^\circ \]. The fourth angle of the quadrilateral is:
  A)
  \[36{}^\circ \]              
  done clear
  B)
  \[48{}^\circ \]
  done clear
  C)
  \[60{}^\circ \]              
  done clear
  D)
  \[70{}^\circ \]
  done clear
  E)
  None of these
  done clear
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• question_answer7)
  The length of tangent from a point A at a distance of 5 cm from the centre of a circle is 4 cm. What is the radius of the circle?
  A)
  2 cm                
  done clear
  B)
  3 cm
  done clear
  C)
  4 cm                
  done clear
  D)
  5 cm
  done clear
  E)
  None of these
  done clear
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• question_answer8)
  Find the value of x, if the distance between the points \[\left( x,\text{ }-1 \right)\] and \[\left( 3,\text{ }2 \right)\] is 5.
  A)
  8                     
  done clear
  B)
  \[-1\]
  done clear
  C)
  7                     
  done clear
  D)
  Both [b] and [c]
  done clear
  E)
  None of these
  done clear
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• question_answer9)
  From a point P on the ground the angle of elevation of a 30 m tall building is \[45{}^\circ \]. A flag is hoisted at the top of the building and the angle of elevation of the top of the flag staff from point P is \[60{}^\circ \]. The length of flag staff and the distance of the building from the point P are respectively:
  A)
  21.96m and 30m
  done clear
  B)
  51.96 m and 30 m
  done clear
  C)
  30 m and 30 m
  done clear
  D)
  21.56 m and 30 m
  done clear
  E)
  None of these
  done clear
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• question_answer10)
  A bucket is in the form of a frustum of a cone. Its depth is 15 cm and the diametres of the top and bottom are 56 cm and 42 cm respectively. Find how many litres of water can the bucket hold.
  A)
  14.24 litres
  done clear
  B)
  28.49 litres
  done clear
  C)
  36.52 litres        
  done clear
  D)
  51.32 litres
  done clear
  E)
  None of these
  done clear
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• question_answer11)
  In a football team, there are 3 groups of 3 players each, a captain and a goalkeeper. The mean age of these three groups are 25 years, 26 years and 32 years and mean age of entire team is 26 years. If the captain is thirteen years older than the goalkeeper, then age of the captain is:
  A)
  12 years
  done clear
  B)
  25 years
  done clear
  C)
  14 years
  done clear
  D)
  24 years
  done clear
  E)
  None of these
  done clear
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• question_answer12)
  A toy seller uses a spinner which has 4 equal sectors coloured yellow, blue, green and red for selling the toy of different colours. Maria wants to purchase a toy of red colour from the toy seller. Find the probability that Maria purchases a red coloured toy from the toy seller.
  A)
  \[\frac{1}{4}\]              
  done clear
  B)
  \[\frac{1}{2}\]
  done clear
  C)
  \[\frac{1}{3}\]              
  done clear
  D)
  \[\frac{2}{3}\]
  done clear
  E)
  None of these
  done clear
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• question_answer13)
  Find the value of x, \[\sqrt[3]{3x-2}=4\].
  A)
  20                    
  done clear
  B)
  25
  done clear
  C)
  22        
  done clear
  D)
  30
  done clear
  E)
  None of these
  done clear
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• question_answer14)
  Simplify: \[4\sqrt{2}-2\sqrt{8}+\frac{3}{\sqrt{2}}\]
  A)
  \[\frac{3}{2}\sqrt{3}\]   
  done clear
  B)
  \[\frac{3}{4}\sqrt{2}\]
  done clear
  C)
  \[\frac{3}{2}\sqrt{2}\]
  done clear
  D)
  \[\frac{4}{3}\sqrt{3}\]
  done clear
  E)
  None of these
  done clear
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• question_answer15)
  Find the remainder when \[{{x}^{3}}+3{{x}^{2}}+3x+1\] is divided by \[x-\frac{1}{2}\]
  A)
  \[\frac{8}{27}\]             
  done clear
  B)
  \[\frac{-8}{27}\]
  done clear
  C)
  \[\frac{27}{8}\]             
  done clear
  D)
  \[\frac{-27}{8}\]
  done clear
  E)
  None of these
  done clear
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• question_answer16)
  Factories: \[\frac{1}{2}{{x}^{2}}+4x+6\]
  A)
  \[(x+6)\left( \frac{x}{2}-1 \right)\]
  done clear
  B)
  \[(x+6)\left( \frac{x}{2}+1 \right)\]
  done clear
  C)
  \[(x+6)\left( \frac{x}{3}-1 \right)\]
  done clear
  D)
  \[(x-6)\left( \frac{x}{3}+1 \right)\]
  done clear
  E)
  None of these
  done clear
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• question_answer17)
  Evaluate:\[25x-19-\{3-(4x-5)\}=3x-(6x-5)\]
  A)
  x = 1   
  done clear
  B)
  x = 5
  done clear
  C)
  x = 2   
  done clear
  D)
  x = 4
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer18)
  Simplify: \[\sqrt{{{m}^{2}}{{n}^{2}}}\times \sqrt[6]{{{m}^{2}}{{n}^{2}}}\times \sqrt[3]{{{m}^{2}}{{n}^{2}}}\]
  A)
  \[{{m}^{2}}{{n}^{2}}\]        
  done clear
  B)
  \[{{m}^{3}}{{n}^{2}}\]
  done clear
  C)
  \[{{m}^{2}}{{n}^{2}}\]        
  done clear
  D)
  \[m{{n}^{2}}\]
  done clear
  E)
  None of these
  done clear
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• question_answer19)
  Which of the following is an irrational number?
  A)
  \[7\sqrt{3}\]      
  done clear
  B)
  \[\sqrt{2}\]
  done clear
  C)
  \[3\sqrt{5}\]      
  done clear
  D)
  All of these
  done clear
  E)
  None of these
  done clear
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• question_answer20)

  Solve for x and y:

  \[4x-15y=65\]

  \[3x+2y=9\]

  A)
  \[(-5,-3)\]           
  done clear
  B)
  \[(5,-3)\]
  done clear
  C)
  \[(2,\,\,3)\]
  done clear
  D)
         \[(-2,\,\,3)\]
  done clear
  E)
  None of these
  done clear
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• question_answer21)
  If angles of a triangle are in the ratio\[1:4:7\], then find the largest angle.
  A)
  \[135{}^\circ \]          
  done clear
  B)
  \[84{}^\circ \]
  done clear
  C)
  \[105{}^\circ \]
  done clear
  D)
  \[75{}^\circ \]
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer22)
  The edge of a cube is doubled. What will be the new volume?
  A)
  3 times 
  done clear
  B)
  2 times
  done clear
  C)
  4 times 
  done clear
  D)
  8 times
  done clear
  E)
  None of these
  done clear
  View Answer play_arrow

• question_answer23)
  If \[x=\sqrt{3+\sqrt{3+\sqrt{3+---}}}\], then the value of x is:
  A)
  \[\frac{2\underline{+}\sqrt{13}}{2}\]      
  done clear
  B)
  \[\frac{3\underline{+}\sqrt{13}}{2}\]
  done clear
  C)
  \[\frac{4\underline{+}\sqrt{13}}{2}\]      
  done clear
  D)
  \[\frac{1\underline{+}\sqrt{13}}{2}\]
  done clear
  E)
  None of these
  done clear
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