6th Class Mathematics Algebra Question Bank

done Algebra Total Questions - 30

• question_answer1)
  The equation for the statement; 'Half of a number added to 10 is 15' is _______.
  A)
   \[\frac{x}{2}=10+5\] done clear
  B)
   \[\frac{x}{2}+10=15\] done clear
  C)
   \[\frac{x}{2}+15=10\] done clear
  D)
   \[\frac{x}{2}=10+15\] done clear
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• question_answer2)
  When Raju multiplies a certain number by 17 and adds 4 to the product, he gets 225. Find the number.
  A)
   13 done clear
  B)
   14 done clear
  C)
   15 done clear
  D)
   16 done clear
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• question_answer3)
  Equation for the statement Thrice the length\[(l)\] of a room is 340 metres' is ________.
  A)
   \[3l=430\] done clear
  B)
   \[3l=340\] done clear
  C)
  \[3+l=340\] done clear
  D)
   \[3l+340=0\] done clear
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• question_answer4)
  If five times of a number is 80, then the number is ________.
  A)
   -16 done clear
  B)
   1 done clear
  C)
   16 done clear
  D)
   40 done clear
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• question_answer5)
  An algebraic expression 11 - y can be written in statement as _______.
  A)
   11 less than y done clear
  B)
   y less than 11 done clear
  C)
   y more than 11 done clear
  D)
   y divided by 11 done clear
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• question_answer6)
  Which equation justifies the given statement? "Perimeter of an equilateral triangle is three times its side \[l\]?
  A)
   \[l\times l\times l\] done clear
  B)
   \[3\times 3\times 3\] done clear
  C)
   \[3\times l\] done clear
  D)
   \[3+l\] done clear
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• question_answer7)
  Twelve less than 3 times a number is 27. The number is ________.
  A)
   29 done clear
  B)
   39 done clear
  C)
   65 done clear
  D)
   13 done clear
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• question_answer8)
  Value of \[x\] in \[14\left( \frac{x}{2}-2 \right)+4=4\]is_______.
  A)
   7 done clear
  B)
   4 done clear
  C)
   14 done clear
  D)
   12 done clear
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• question_answer9)
  To get the value of \['y'\], the number to be multiplied on either side of equation \[\frac{y}{10}=\frac{3}{2}\]is _________.
  A)
   -10 done clear
  B)
   10 done clear
  C)
   3 done clear
  D)
   0 done clear
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• question_answer10)
  In \[\frac{2}{3}p-2\frac{1}{2}=3\frac{1}{2},\] the value of p is________.
  A)
   -9 done clear
  B)
   6 done clear
  C)
   9 done clear
  D)
   0 done clear
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• question_answer11)
  Power of a variable in a linear equation is
  A)
   Zero done clear
  B)
   One done clear
  C)
   Two done clear
  D)
   Three done clear
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• question_answer12)
  The breadth of a rectangle is w cm and the length is 5 times as long as its breadth. What is the perimeter of the rectangle?
  A)
   \[5{{w}^{2}}cm\] done clear
  B)
   \[12w\,\,cm\] done clear
  C)
   \[(10+2w)cm\] done clear
  D)
   \[(25+{{w}^{2}})cm\] done clear
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• question_answer13)
  The number of girls in a class is 3 times the number of boys. Which of the following cannot be the total number of students in the class?
  A)
   24 done clear
  B)
   32 done clear
  C)
   36 done clear
  D)
   41 done clear
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• question_answer14)
  The algebraic expression for the statement "Product of x and reciprocal of a, subtracted from the product of y and reciprocal of b" is
  A)
   \[\frac{y}{b}-\frac{x}{a}\] done clear
  B)
   \[\frac{y-x}{a-b}\] done clear
  C)
   \[xa-yb\] done clear
  D)
   \[\frac{1}{yb-xa}\] done clear
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• question_answer15)
  The algebraic expression for the statement 'thrice of x is added to y multiplied by itself' is _______.
  A)
   \[3x+2y\] done clear
  B)
   \[3x+{{y}^{2}}\] done clear
  C)
   \[3(x+{{y}^{2}})\] done clear
  D)
   \[3x+y\] done clear
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• question_answer16)
  If a = b, then \[ax=\]________.
  A)
   \[a+x\] done clear
  B)
   \[bx\] done clear
  C)
   \[b-x\] done clear
  D)
   \[b\div x\] done clear
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• question_answer17)
  Which of the following equations has x = 2 as a solution?
  A)
   \[x+2=5\] done clear
  B)
   \[x-2=0\] done clear
  C)
   \[2x+1=0\] done clear
  D)
   \[x+3=6\] done clear
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• question_answer18)
  The equation _______and \[2x+2=0\] have the same solution.
  A)
   \[x-1=0\] done clear
  B)
   \[x+1=0\] done clear
  C)
   \[x-2=0\] done clear
  D)
   \[x+2=0\] done clear
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• question_answer19)
  If\[\frac{3}{4}x+8=17\], then the value of x is _________.
  A)
   -12 done clear
  B)
   36 done clear
  C)
   12 done clear
  D)
   -36 done clear
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• question_answer20)
  The method of finding solution by trying out various values for the variable is called
  A)
   Error method done clear
  B)
   Trial and error method done clear
  C)
   Testing method done clear
  D)
   Checking method done clear
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• question_answer21)
  I had Rs.350 with me. I gave Rs. \[\left( \frac{x}{2} \right)\] to Amit, \[\text{Rs}\text{.}\left( \frac{x}{3} \right)\] to Shreya and I am left with \[\text{Rs}\text{.}\left( \frac{x}{3} \right)\]. The amount I gave to Amit is ________.
  A)
   Rs.150 done clear
  B)
   Rs.100 done clear
  C)
   Rs.250 done clear
  D)
   Rs.200 done clear
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• question_answer22)
  Preeti travelled 3x km distance by walk, 9y km by cycle and 5 km by bus. The total distance covered by Preeti is __________.
  A)
   \[(3x-9y+5)\text{ }km\] done clear
  B)
   \[(3x+9y+5)km\] done clear
  C)
   \[(3x-9y-5)km\] done clear
  D)
   \[(9x+3y-5)km\] done clear
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• question_answer23)
  Aanya got 5 marks in Science test. Her friend Sneha got 'x' marks more than Aanya. How many marks did they get altogether?
  A)
   \[5\times x\] done clear
  B)
   \[5+x\] done clear
  C)
   \[10+x\] done clear
  D)
   \[2x+5\] done clear
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• question_answer24)
  Meera bought packs of trading cards that contain 10 cards each. She gave 7 cards to her friend.

  x = Number of packs of trading cards

  Which expression shows the number of cards left with Meera?
  A)
   \[10x-7\] done clear
  B)
   \[7x-8\] done clear
  C)
   \[5-10x\] done clear
  D)
   \[8-5x\] done clear
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• question_answer25)
  Jaya's score in Mathematics is 30 more than two third of her score in English. If her score in English is x, find her score in Mathematics.
  A)
   \[\frac{2}{3}(x+30)\] done clear
  B)
   \[\frac{2x}{3}+30\] done clear
  C)
   \[\frac{2x}{3}-30\] done clear
  D)
   \[30-\frac{2x}{3}\] done clear
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• question_answer26)
  Ashima bought 23 things from the market. She bought five more jeans than shirts and two fewer watches than jeans. If x represents the number of shirts in total, then which sentence can be used to find how many of each thing are bought?
  A)
   \[x+(x+5)+(x+3)=23\] done clear
  B)
   \[x+(x-5)+(x-3)=23\] done clear
  C)
   \[(x+5)+(x+3)=23\] done clear
  D)
   \[x+(x+3)=23\] done clear
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• question_answer27)
  Fill in the blanks.

  (i) An expression with a variable, constant and the sign of equality is called an   P .

  (ii) 8 more than 2 times the number x can be written in algebraic form as   Q  .

  (iii) An equation is a condition on a   R  .

  A)

  P	Q	R
  Variable	\[8x+2\]	Equation

  done clear
  B)

  P	Q	R
  Equation	\[2x+8\]	Variable

  done clear
  C)

  P	Q	R
  Equation	\[2x-8\]	Variable

  done clear
  D)

  P	Q	R
  Variable	\[2x+8\]	Equation

  done clear
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• question_answer28)
  Which of the following equations does not have a solution in integers?
  A)
   \[x+1=1\] done clear
  B)
   \[x-1=3\] done clear
  C)
   \[2x+1=6\] done clear
  D)
   \[1\text{ }-x=5\] done clear
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• question_answer29)
  State 'T' for true and 'F' for false.

  P. x = 15 is the solution of the equation\[41-x=25\].

  Q. An equation is an algebraic expression which involves an "equal to" sign.

  R. 'x exceeds y by 7' can be expressed as\[x=y+7\].

  A)

  P	Q	R
  F	T	T

  done clear
  B)

  P	Q	R
  F	T	F

  done clear
  C)

  P	Q	R
  T	F	T

  done clear
  D)

  P	Q	R
  T	T	T

  done clear
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• question_answer30)
  Match the following.

  Column - I	Column - II
  (i) The total mass of 3 boxes is 5 kg. The mass of two of the boxes is x kg each. The mass of third box is	(a) \[x-11\]
  (ii) Sid had \[x\] eggs. He used 5 eggs to bake a cake and gave 6 eggs to his neighbour. The number of eggs left with him is	(a) \[\frac{x}{3}\]
  (iii) Mohit had Rs. \[x\]. He gave the money to his 3 sisters equally. Each girl get Rs.	(c) \[5-2x\]

  A)
   (i)\[\to \](c), (ii)\[\to \](a), (iii)\[\to \](a) done clear
  B)
   (i)\[\to \](a), (ii)\[\to \](c), (iii)\[\to \](a) done clear
  C)
   (i)\[\to \](c), (ii)\[\to \](a), (iii)\[\to \](a) done clear
  D)
   (i)\[\to \](a), (ii)\[\to \](a), (iii)\[\to \](c) done clear
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