6th Class Mathematics Algebra Question Bank

done Algebra Total Questions - 50

• question_answer1)
  Which of the following are used to represent unknown quantities in algebra?
  A)
   Upper case letters. done clear
  B)
   Lower case letters.   done clear
  C)
   Depends on the problem. done clear
  D)
   Only letters A, B,..... K. done clear
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• question_answer2)
  What do literals usually represent?
  A)
   Known quantities done clear
  B)
   Variables   done clear
  C)
   Constants done clear
  D)
   Depends on the problem. done clear
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• question_answer3)
  What is the number of sides of an equation?
  A)
  2                               done clear
  B)
  3 done clear
  C)
  4                             done clear
  D)
  0 done clear
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• question_answer4)
  What is the equation for the statement 'half of a number added to 10 is 15' ?
  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_answer5)
  Write an equation for the statement 'thrice the length of a room is 340 metres'.
  A)
  \[3l=430\]           done clear
  B)
  \[3l=340\]   done clear
  C)
  \[3+l=340\]        done clear
  D)
  \[340-3\,\,l\] done clear
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• question_answer6)
  What is the method of finding a solution by trying out various values for the variable 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_answer7)
  A Find the value of p if \[\frac{p}{4}=12.\]
  A)
  48                            done clear
  B)
  -48 done clear
  C)
  -24                         done clear
  D)
  24 done clear
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• question_answer8)
  Choose a value of 'a' that satisfies the equation \[\text{6a=-30}\].
  A)
   5                                             done clear
  B)
   30 done clear
  C)
   -5                             done clear
  D)
  10 done clear
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• question_answer9)
  What is the value of \[x\] if \[\frac{3}{4}x+8=17\]?
  A)
   -12                         done clear
  B)
  36 done clear
  C)
   12                                            done clear
  D)
   -36 done clear
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• question_answer10)
  For what value of 'a' is \[\text{6(2a-1)+8=14}\]true?
  A)
  -1                           done clear
  B)
  \[\text{3}\frac{1}{12}\] done clear
  C)
  \[1\frac{3}{12}\]                               done clear
  D)
  1   done clear
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• question_answer11)
  Determine the value of \[x\] given \[6x-1=2x+9\].
  A)
  \[1\frac{1}{2}\]                done clear
  B)
  \[-2\frac{1}{2}\] done clear
  C)
  \[1\frac{3}{12}\]                              done clear
  D)
  \[1\]   done clear
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• question_answer12)
  Ramu's father is thrice as old as Ramu. If father's age is 45 years, how old is Ramu?
  A)
  45 years              done clear
  B)
  30 years done clear
  C)
  15 years                done clear
  D)
  10 years done clear
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• question_answer13)
  A number is multiplied by 6 and 12 is added to the product. The result is 84. What is the number?
  A)
  -12                         done clear
  B)
  72 done clear
  C)
  12                            done clear
  D)
  -72 done clear
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• question_answer14)
  Find the length of a side of an equilateral triangular garden whose perimeter is 66 m.
  A)
  66 m     done clear
  B)
  11 m done clear
  C)
  3 m                        done clear
  D)
  22 m   done clear
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• question_answer15)
  In the given figure, what are the magnitudes of the angles shown?
  A)
  \[\text{40 }\!\!{}^\circ\!\!\text{ }\], \[\text{135 }\!\!{}^\circ\!\!\text{ }\]              done clear
  B)
  \[\text{45 }\!\!{}^\circ\!\!\text{ }\], \[\text{130 }\!\!{}^\circ\!\!\text{ }\] done clear
  C)
  \[\text{45 }\!\!{}^\circ\!\!\text{ }\],\[\text{135 }\!\!{}^\circ\!\!\text{ }\]                 done clear
  D)
  \[\text{180 }\!\!{}^\circ\!\!\text{ }\] done clear
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• question_answer16)
  The length of a rectangle is twice its breadth. If its area is 72 sq. m, find the breadth of the rectangle.
  A)
  12 m     done clear
  B)
  24 m done clear
  C)
  6 m                          done clear
  D)
  72 m done clear
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• question_answer17)
  Which of the following is the perimeter of a regular hexagon of side 's' units ?
  A)
  6 s units                 done clear
  B)
  12 s units done clear
  C)
  \[\text{6 }{{\text{s}}^{\text{2}}}\] sq units done clear
  D)
  -6 s units done clear
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• question_answer18)
  Which of the following does 2n  -1 represent?
  A)
   1 subtracted from the product of n and 2.   done clear
  B)
   The difference of two times n and 2. done clear
  C)
   2n added to 1. done clear
  D)
   n subtracted from 2. done clear
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• question_answer19)
  If \[\frac{2}{3}P-2\frac{1}{2}=3\frac{1}{2}\], what is the value of p?
  A)
  -9                           done clear
  B)
  6 done clear
  C)
  9                               done clear
  D)
  0 done clear
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• question_answer20)
  In a piggy bank the number of 25 paise coins is five times the number of 50 paise coins. If there are 120 coins, find the amount in the bank.
  A)
  Rs. 25                   done clear
  B)
  Rs. 10 done clear
  C)
  Rs. 35                     done clear
  D)
  Rs. 40 done clear
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• question_answer21)
  If half of a number is added to 18, the sum is 46. What is the number?
  A)
  92                          done clear
  B)
  56   done clear
  C)
  65                          done clear
  D)
  0 done clear
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• question_answer22)
  What is the algebraic expression for the statement "Product of 'x' and 'a' subtracted from the product of 'b' and 'y' "?
  A)
  \[ax\text{ }-\text{ }by\]                               done clear
  B)
   \[x\text{ }+\text{ }a\text{ }-\text{ }by\] done clear
  C)
  \[by\text{ }-\text{ }ax\]                  done clear
  D)
  \[xa\text{ }-\text{ }b\text{ }-\text{ }y\] done clear
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• question_answer23)
  What is the algebraic expression for the statement "6 times 'a' taken away from 40"?
  A)
  6a-40    done clear
  B)
  40a-6 done clear
  C)
  40-6a      done clear
  D)
  0 done clear
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• question_answer24)
  How is '6 less than ten times a' written ?
  A)
  6-10a    done clear
  B)
  10a-6   done clear
  C)
  10ac      done clear
  D)
  \[\text{610 }\!\!\times\!\!\text{ a-6}\] done clear
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• question_answer25)
  How much should Ram pay for \[x\] pencils and y sharpeners if each pencil costs Rs. 4 and each sharpener costs Rs. 3 ?
  A)
  Rs. \[(4y\text{ }+\text{ }3x)\] done clear
  B)
  Rs. \[(4x\text{ }+\text{ }3y)\]   done clear
  C)
  Rs. \[(4x-6y)\] done clear
  D)
  Rs. \[4(x-6)y\] done clear
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• question_answer26)
  Determine the coefficient of x in \[4y-\frac{x}{7}\].
  A)
  \[-\frac{1}{7}\]                   done clear
  B)
   \[\frac{1}{7}\] done clear
  C)
  \[4\]                     done clear
  D)
  \[-4\] done clear
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• question_answer27)
  Karan is \[x\] years old. His brother is twice his age. What is the sum of their ages?
  A)
  \[\frac{3}{2}x\] years    done clear
  B)
  \[x\] years done clear
  C)
  \[3x\] years         done clear
  D)
  \[2x\] years done clear
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• question_answer28)
  Which is the correct expression for '-p multiplied by 5' ?
  A)
  \[-(-5p)\]             done clear
  B)
  \[-p+5\] done clear
  C)
  \[-5p\]                   done clear
  D)
  \[5-p\] done clear
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• question_answer29)
  Madhu buys 'p' oranges at 50 paise each and 'q' mangoes at Rs. 0.60 each. How much does he pay for the fruits?
  A)
   \[\text{(0}\text{.5 p + 0}\text{.6 q)}\] paise done clear
  B)
   Rs. \[\text{(50 p+6q)}\] paise done clear
  C)
   Rs. \[\text{(50p+60q)}\] paise done clear
  D)
   \[\text{(50 p + 60 q)}\]paise   done clear
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• question_answer30)
  What does -m -7 represent?
  A)
   7 subtracted from m. done clear
  B)
   7 subtracted from -m.   done clear
  C)
   -7 subtracted from -m. done clear
  D)
   7 added to m. done clear
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• question_answer31)
  What does 10y + 7 represent?
  A)
   10 times y added to -7. done clear
  B)
   10 y added to 7. done clear
  C)
   The product 10 and y + 7. done clear
  D)
   7 added to the product of 10 and y.   done clear
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• question_answer32)
  Which is the correct expression for "p is multiplied by 5 and the result is subtracted from 10"?
  A)
  \[\text{10 (p-5)}\]          done clear
  B)
  \[\text{5(p-10)}\] done clear
  C)
  \[\text{5p-10}\]                done clear
  D)
  \[\text{10-5p}\]   done clear
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• question_answer33)
  The table shows the values of \[\text{m + 7}\] for different values of m. By inspection, find the solution of m + 7 = 12.

  m	1	2	3	4	5
  m+7	8	9	10	11	12

  A)
   \[\text{m = 4}\]                               done clear
  B)
   \[\text{m = 5}\]   done clear
  C)
   \[\text{m = 2}\]               done clear
  D)
  \[\text{m = 3}\] done clear
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• question_answer34)
  Which of the following statements is correct for the statement - "Class VI has n students, the school has 25n students"?
  A)
   The number of students in class VI is 25 times the number of students in the school. done clear
  B)
   The number of students in the school is 25 times the number of students in class VI.   done clear
  C)
   The total number of students in the school is 26n. done clear
  D)
   The total number of students in class VI is 24n. done clear
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• question_answer35)
  Mohan is \[x\] years old. What is his age 15 years from now?
  A)
   (x - 15) years     done clear
  B)
   (x + 45) years done clear
  C)
   (x + 15) years   done clear
  D)
  (15x) years done clear
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• question_answer36)
  Identify the equation with one variable from the following.
  A)
   \[\text{z+1224}\] done clear
  B)
   \[\text{20-}\left( \text{10-5} \right)\text{=}\left( \text{3}\times \text{5} \right)\] done clear
  C)
   \[\text{2n+1 =11}\]   done clear
  D)
   \[\frac{\text{3q}}{\text{2}}\text{0}\] done clear
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• question_answer37)
  Choose the set that has the solution for the equation\[\text{n + 8 = 20}\].
  A)
  (12, 8, 20, 0)         done clear
  B)
  (-2.0, 2, 4) done clear
  C)
  (7, 2, 10, 14)       done clear
  D)
  (4, -4, 2, 0) done clear
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• question_answer38)
  Which of the following is a correct statement?
  A)
   The perimeter of an equilateral triangle of side 'S' units is \[\text{S  }\!\!\times\!\!\text{  S}\] square units. done clear
  B)
   The area of a square of side 's' units is 4s units. done clear
  C)
   The perimeter of a regular pentagon of side \['l'\] units is \[5l\] units.   done clear
  D)
   The area of a circle of radius \['l'\] units is \[4\,l\] square units. done clear
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• question_answer39)
  Write an algebraic expression for the statement '6 less than the quotient of \[x\] and 3 equals 2'.
  A)
  \[6-\frac{x}{3}=2\]          done clear
  B)
  \[\frac{x}{3}-6=2\]   done clear
  C)
  \[3x-6=2\]          done clear
  D)
  \[\frac{3}{x}-6=2\] done clear
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• question_answer40)
  What is the coefficient of \[{{\text{y}}^{\text{2}}}\]in \[\text{-6ax}{{\text{y}}^{\text{2}}}\]?
  A)
   6a                          done clear
  B)
  -6a done clear
  C)
   -6ax                                        done clear
  D)
   6ax done clear
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• question_answer41)
  If \[\frac{3}{5}x+9=33\], what is value of \[x\]?
  A)
  20                          done clear
  B)
  -20 done clear
  C)
  -40                         done clear
  D)
  40   done clear
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• question_answer42)
  If p = q, what is p + t?
  A)
  q - t                       done clear
  B)
  qt done clear
  C)
  q + t                        done clear
  D)
  \[q\text{ }\div \text{ }t\] done clear
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• question_answer43)
  Guru is twice as old as Srinu. If Guru's age is 60 years, how old is Srinu?
  A)
  45 years              done clear
  B)
  30 years   done clear
  C)
  15 years              done clear
  D)
  10 years done clear
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• question_answer44)
  Devi buys 4 times as many pencils as Shilpa. If 30 pencils remained in the shop, which expression gives the number of pencils before the girls bought pencils?
  A)
  5p + 30   done clear
  B)
  p + 30 done clear
  C)
  4p+30   done clear
  D)
  5p-30 done clear
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• question_answer45)
  Bunty is 12 years old. His mother is 30 years older. Which expression gives the age (m) of Bunty's mother?
  A)
  m=30    done clear
  B)
  m+12=30 done clear
  C)
  m-12=30               done clear
  D)
  m=12 done clear
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• question_answer46)
  In a party room, 20 workers decorate 70 tables. Each table is decorated with 10 silver balloons and 15 gold balloons. Which equation could be used to find x, the total number of silver and gold balloons needed to decorate all the tables?
  A)
   \[\text{x = 70 (10 +15)}\]   done clear
  B)
   \[\text{x = 15 (70 +10)}\] done clear
  C)
   \[x\text{ }=\text{ }70\text{ }+(10\times 15)\] done clear
  D)
   \[\text{x = 20 (70+10+15)}\] done clear
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• question_answer47)
  What is the value of "n" that makes the equation below true? \[\frac{n}{3}=12\].
  A)
   36                            done clear
  B)
  12 done clear
  C)
   9                                             done clear
  D)
   3 done clear
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• question_answer48)
  A telephone company charges Rs. 0.05 per minute for local calls and Rs. 0.12 per minute for long distance calls. Which expression gives the total cost in rupees for "x" minutes of local calls and "y" minutes a long distance calls?
  A)
   \[0.05\text{ }x\text{ }+\text{ }0.12y~\]   done clear
  B)
   \[0.05x\text{ }-\text{ }0.12y\] done clear
  C)
   \[0.17(x+y)\]                     done clear
  D)
   \[0.17\text{ }xy\] done clear
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• question_answer49)
  The box shows a number sentence. \[P\times 1000\,\,\,ml\,\,=7.65\,\,l\] What is the value of P?
  A)
  7.65                         done clear
  B)
  76.5 done clear
  C)
  765                        done clear
  D)
  7650 done clear
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• question_answer50)
  A paper file costs Rs. 0.80 and a plastic file costs Rs. 1.50. Suman bought \[x\]paper files and \[y\]plastic files. How many rupees should she pay the shopkeeper?
  A)
   \[8y+15x\]                         done clear
  B)
   \[8x+15y\] done clear
  C)
   \[80x+1500y\]  done clear
  D)
   \[0.8x+1.5y\]   done clear
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