6th Class Mathematics Mensuration Question Bank

done Mensuration Basics Total Questions - 60

• question_answer1)
  Find the length of a wooden strip (in meters) required to frame a painting of length 54 cm and width 32 cm.
  A)
  \[17.2\,\,m\]                              done clear
  B)
  \[1.72\,\,m\] done clear
  C)
  \[8.86\,\,m\]                  done clear
  D)
   \[172\,\,m\] done clear
  View Solution play_arrow

• question_answer2)
  Four square tables with side \[1.2\,\,m\] each are paced end to end to forms one big rectangular table. What is the perimeter of this rectangular table.
  A)
  \[4.8\,\,m\]                                done clear
  B)
   \[19.2\,\,m\] done clear
  C)
  \[12\,\,m\]                     done clear
  D)
   \[9.6\,\,m\] done clear
  View Solution play_arrow

• question_answer3)
  Perimeter of given figure
  A)
  \[12\,\,a\,\,cm\]                         done clear
  B)
   \[\text{6}\,\,a\,\,cm\] done clear
  C)
  \[\text{15}\,\,a\,\,cm\]              done clear
  D)
   \[\text{8}\,\,a\,\,cm\] done clear
  View Solution play_arrow

• question_answer4)
  'What is the Area of triangle.
  A)
   \[\frac{1}{2}\times \] base \[\times \] height   done clear
  B)
   base \[\times \] height done clear
  C)
   length \[\times \] breadth         done clear
  D)
   \[{{\text{(Diagonal)}}^{\text{2}}}\] done clear
  View Solution play_arrow

• question_answer5)
  Find the side length of a square of area\[256\,\,c{{m}^{2}}\].
  A)
   16 cm                         done clear
  B)
   15 cm         done clear
  C)
   20 cm            done clear
  D)
   14 cm done clear
  View Solution play_arrow

• question_answer6)
  The length of a rectangular plot of land is twice its breadth. If the perimeter of the plot be 300 m, find its area.
  A)
  \[5000\,\,{{m}^{2}}\]                       done clear
  B)
  \[4000\,\,{{m}^{2}}\] done clear
  C)
  \[3000\,\,{{m}^{2}}\]          done clear
  D)
  \[2000\,\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer7)
  The area of a rectangle is\[108\,\,c{{m}^{2}}\]. If its length is 12 cm, the ratio of its breadth to its length is:
  A)
  \[4:3\]                           done clear
  B)
  \[12:108\]        done clear
  C)
  \[3:4\]              done clear
  D)
  \[1:9\] done clear
  View Solution play_arrow

• question_answer8)
  If the length of a rectangle is doubled, the area of the new rectangle
  A)
   Remains the same done clear
  B)
   Is doubled   done clear
  C)
   Becomes four times done clear
  D)
   None of these. done clear
  View Solution play_arrow

• question_answer9)
  If area of an equilateral triangle is\[3\sqrt{3}\,\,c{{m}^{2}}\]then its height is
  A)
  \[3\,\,cm\]                     done clear
  B)
  \[\sqrt{3}\,\,cm\]        done clear
  C)
  \[\text{6}\,\,cm\]                      done clear
  D)
  \[\text{2}\sqrt{3}\,\,cm\] done clear
  View Solution play_arrow

• question_answer10)
  The ratio of the radii of two circles is\[2:5\]. What is the ratio of their circumferences?
  A)
  \[2:5\]                           done clear
  B)
  \[2:3\]           done clear
  C)
  \[5:2\]              done clear
  D)
  \[3:2\] done clear
  View Solution play_arrow

• question_answer11)
  The diameter of the wheel of a car is 77 cm. How many revolutions will it make to travel 121 km?
  A)
   50,000            done clear
  B)
   60,000         done clear
  C)
   10,000                        done clear
  D)
   70,000 done clear
  View Solution play_arrow

• question_answer12)
  The area of square A is\[25\,\,c{{m}^{2}}\]. The perimeter of square B is 12 cm. What is the area and perimeter square C?
  A)
  \[64\,\,c{{m}^{2}},\,\,32\,\,cm\]       done clear
  B)
  \[\text{36}\,\,c{{m}^{2}},\,\,12\,\,cm\] done clear
  C)
  \[8\,\,c{{m}^{2}},\,\,5\,\,cm\]           done clear
  D)
  \[9\,\,c{{m}^{2}},\,\,7\,\,cm\] done clear
  View Solution play_arrow

• question_answer13)
  Find the area of shaded Region.
  A)
  \[4\frac{1}{15}c{{m}^{2}}\]                      done clear
  B)
   \[5\frac{5}{14}c{{m}^{2}}\] done clear
  C)
  \[16\frac{2}{8}c{{m}^{2}}\]                      done clear
  D)
  \[15\,\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer14)
  From a rectangular metal sheet of side 30 cm and 40 cm, a circular sheet as big as possible, is cut off. Find the Area of the remaining sheet.
  A)
  \[492.86\,\,c{{m}^{2}}\]      done clear
  B)
  \[429.68\,\,c{{m}^{2}}\] done clear
  C)
  \[892.86\,\,c{{m}^{2}}\]                  done clear
  D)
  \[426.45\,\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer15)
  In a square park of side 120m, there is a swimming pool \[25\,\,m\times 20\,\,m\]. The rest is picnic ground. What is the area of picnic ground?
  A)
  \[380\,\,{{m}^{2}}\]                         done clear
  B)
  \[14400\,\,{{m}^{2}}\] done clear
  C)
  \[14900\,\,{{m}^{2}}\]                     done clear
  D)
  \[13900\,\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer16)
  The maximum number of points of intersecting of a circle and a triangle is m. The maximum number of points of intersection of two triangle is n. Then the value of \[(m+n)\] is _________.
  A)
   12                               done clear
  B)
   13             done clear
  C)
   14                   done clear
  D)
   10 done clear
  View Solution play_arrow

• question_answer17)
  In the given figure (1), (2), (3) and (4) are squares. The perimeter of the square (1) and (2) are respectively 20 and 24 units. The area of the entire figure.
  A)
   471 sq. unit    done clear
  B)
   747 sq. unit    done clear
  C)
   417 sq. unit                 done clear
  D)
   472 sq. unit done clear
  View Solution play_arrow

• question_answer18)
  A rectangular lawn is 30 m by 20 m. It has two roads each 2 m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the Area of the roads.
  A)
  \[98\,\,c{{m}^{2}}\]                         done clear
  B)
  \[\text{96}\,\,c{{m}^{2}}\]        done clear
  C)
  \[76\,\,m{{m}^{2}}\]            done clear
  D)
  \[\text{95}\,\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer19)
  Find the area of the shaded portion. All corners are right-angled.
  A)
  \[137.8\,\,{{m}^{2}}\]          done clear
  B)
  \[136.5\,\,{{m}^{2}}\]        done clear
  C)
  \[135.67\,\,{{m}^{2}}\]                    done clear
  D)
  \[148.4\,\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer20)
  A wire is looped in the form of a circle of radius 28 cm. It is re-bent into a square form. Determine the length of the side of the square.
  A)
   44 cm                         done clear
  B)
   45 cm         done clear
  C)
   47 cm            done clear
  D)
   48 cm done clear
  View Solution play_arrow

• question_answer21)

  Direction for question: A ten sided figure A B C D E F G H I J is GIVEN below. The dimensions are given by \[EF=FG=GH=1\,\,cm,\] \[AB=AJ=CD=BC=3\,\,cms.\] Angle between any two sides is a right angle. Answer the question that follow the figure.

  Perimeter (in cms) of the above ten sided figure is
  A)
   20 cms                        done clear
  B)
   24 cms        done clear
  C)
   28 cms           done clear
  D)
   None of these. done clear
  View Solution play_arrow

• question_answer22)

  Direction for question: A ten sided figure A B C D E F G H I J is GIVEN below. The dimensions are given by \[EF=FG=GH=1\,\,cm,\] \[AB=AJ=CD=BC=3\,\,cms.\] Angle between any two sides is a right angle. Answer the question that follow the figure.

  Area (in sq. cms) of the above figure is
  A)
   18 sq cms       done clear
  B)
   20 sq. cms      done clear
  C)
   24 sq. cms                  done clear
  D)
   27 sq. cms. done clear
  View Solution play_arrow

• question_answer23)
  A wheel has diameter 84 cm. Find how many complete revolutions must it take to cover 792 m.
  A)
   200                             done clear
  B)
   300           done clear
  C)
   400                 done clear
  D)
   800 done clear
  View Solution play_arrow

• question_answer24)
  In the given figure, O is the center of the circle and AB is the diameter of the circle of length 14 cm. Find the area of shaded portion.
  A)
  \[38.5\,\,c{{m}^{2}}\]          done clear
  B)
  \[9.625\,\,c{{m}^{2}}\]      done clear
  C)
  \[19.25\,\,c{{m}^{2}}\]                    done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer25)
  In the given figure\[AB=BC=CD=4\,\,cm.\]Whereas the unshaded portion in the upper semicircles is a semicircle with radius BC and center at C. Find the ratio of the area of the shaded region to that the unshaded region.
  A)
  \[4:13\]                         done clear
  B)
  \[2:5\] done clear
  C)
  \[6:13\]                         done clear
  D)
  \[9:13\] done clear
  View Solution play_arrow

• question_answer26)
  In the figure below pieces of squared sheets are shown. Each small square is 1 square unit. Two of them can be joined together without overlapping to form a rectangle. The area of this rectangle in square units is
  A)
   18                               done clear
  B)
   19            done clear
  C)
   16                               done clear
  D)
   17 done clear
  View Solution play_arrow

• question_answer27)
  AB is a line segment 2011 cm long. Squares are drawn as in the diagram. The length of the broken line segment A, \[{{A}_{1}}\]\[{{A}_{2}}\]\[{{A}_{3}}\]\[{{A}_{4}}\]\[{{A}_{5}}\]\[{{A}_{6}}\]\[{{A}_{7}}\]\[{{A}_{8}}\]\[{{A}_{9}}\]\[{{A}_{10}}\]\[{{A}_{11}}\]\[{{A}_{12}}\]\[B\]is
  A)
   2011 cm         done clear
  B)
   4022 cm       done clear
  C)
   6033 cm                     done clear
  D)
   8044 cm done clear
  View Solution play_arrow

• question_answer28)
  In the adjoining figure PQRS is a rectangle \[8\,\,cm\times 6\,\,cm,\]inscribed in the circle. The area of the shaded portion will be.
  A)
  \[48\,\,c{{m}^{2}}\]                         done clear
  B)
   \[42.50\,\,c{{m}^{2}}\] done clear
  C)
  \[32.50\,\,c{{m}^{2}}\]                    done clear
  D)
   \[30.5\,\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer29)
  In the adjoining figure\[AB=CD=\]\[2BC=2BP=2CQ\]. In the middle, a circle with radius 1 cm is drawn. In the rest figure all are the semicircular arcs. What is the perimeter of the whole figures?
  A)
  \[4\pi \]                         done clear
  B)
   \[8\pi \] done clear
  C)
   \[10\pi \]                      done clear
  D)
   None of these. done clear
  View Solution play_arrow

• question_answer30)
  In the adjoining figure there are four squares (1) with side 11 cm, (2) With side 9 en (3) with side 7 cm and (4) with side 5 cm. (The area of the total dotted region) - (area of the lined region) is equal to (in\[c{{m}^{2}}\])
  A)
   56                               done clear
  B)
   64            done clear
  C)
   78                   done clear
  D)
   89 done clear
  View Solution play_arrow

• question_answer31)
  Find the area of the shaded region in the given figure of square ABCD.
  A)
  \[100\,\,c{{m}^{2}}\]                       done clear
  B)
   \[50\,\,c{{m}^{2}}\] done clear
  C)
   \[60\,\,c{{m}^{2}}\]                        done clear
  D)
   \[120\,\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer32)
  Rectangle ACEG below is divided into 4 parts, BCDX is a square. What is the area of shaded part?
  A)
  \[100\,\,c{{m}^{2}}\]                       done clear
  B)
   \[128\,\,c{{m}^{2}}\] done clear
  C)
   \[125\,\,c{{m}^{2}}\]                      done clear
  D)
   \[126\,\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer33)
  Square ABCD has side length 20 cm. point E is on \[\overline{BC},\]and the area of \[\Delta ABE\] is\[80\,\,c{{m}^{2}}\]. What is BE?            
  A)
   10 cm                         done clear
  B)
   12 cm done clear
  C)
   8 cm                           done clear
  D)
   15 cm done clear
  View Solution play_arrow

• question_answer34)
  The base of an isosceles triangle is 20cm and its area is \[200\,\,c{{m}^{2}},\]find its perimeter.
  A)
  \[20\left( \sqrt{3}+1 \right)cm\]           done clear
  B)
  \[20\left( \sqrt{5}+1 \right)cm\] done clear
  C)
  \[20\sqrt{5}cm\]                      done clear
  D)
  \[20\sqrt{3\,\,cm}\] done clear
  View Solution play_arrow

• question_answer35)
  The height to an equilateral triangle is 12 cm. Find the area of the triangle.
  A)
   \[48\sqrt{3}c{{m}^{2}}\]               done clear
  B)
   \[16\sqrt{3}c{{m}^{2}}\] done clear
  C)
   \[15\sqrt{3}c{{m}^{2}}\]               done clear
  D)
   \[20\sqrt{3}c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer36)
  If the area of an equilateral triangle \[72\sqrt{3}\,\,c{{m}^{2}},\] find its perimeter.
  A)
  \[36\sqrt{3}\,\,cm\]                  done clear
  B)
  \[72\sqrt{3}\,\,cm\] done clear
  C)
  \[18\sqrt{3}\,\,cm\]                  done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer37)
  For an isosceles triangle having base x and each of the equal sides as y we have

  I. Area\[=\frac{x\sqrt{4{{y}^{2}}-{{x}^{2}}}}{4}\]

  II. Perimeter \[=(2y+x)\]

  III. Height  \[=\frac{1}{2}\sqrt{4{{y}^{2}}-{{x}^{2}}}\]

  Which of the following is true?
  A)
   I only                           done clear
  B)
   I and II only       done clear
  C)
   II and III only   done clear
  D)
   I, II and III done clear
  View Solution play_arrow

• question_answer38)
  For an isosceles right - angled triangle having each of equal sides 'x', We have

  I. Area\[=\frac{1}{2}{{x}^{2}}\]

  II. Perimeter\[=\left( 2+\sqrt{2} \right)x\]

  III. Hypotenuse\[=2x\]

  Which of the following is true?
  A)
   I only                           done clear
  B)
   II only done clear
  C)
   I and II                        done clear
  D)
   I and III done clear
  View Solution play_arrow

• question_answer39)

  Direction for question: Read the passage below and solve the questions based on it. A 20 m long piece of wire is cut into two pieces, one of which is bent into a circle and the other into the square enclosing it.

  The area of square outside the circle is
  A)
  \[1.63\,\,{{m}^{2}}\]                        done clear
  B)
   \[1.68\,\,{{m}^{2}}\] done clear
  C)
  \[1.75\,\,{{m}^{2}}\]                        done clear
  D)
   \[2.5\,\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer40)

  Direction for question: Read the passage below and solve the questions based on it. A 20 m long piece of wire is cut into two pieces, one of which is bent into a circle and the other into the square enclosing it.

  The ratio of the radius of the circle to the perimeter of the square is:
  A)
  \[8:1\]                           done clear
  B)
  \[1:8\] done clear
  C)
  \[4:1\]                           done clear
  D)
  \[1:4\] done clear
  View Solution play_arrow

• question_answer41)
  If a boy runs once around a football field of length and width equal to 30 and 20 metre respectively how many metre has he run?
  A)
   50 m                           done clear
  B)
   100 m         done clear
  C)
   600 m            done clear
  D)
   80 m done clear
  View Solution play_arrow

• question_answer42)
  In the figure below PQRS is a parallelogram. Side QR = 10 cm and a perpendicular AB = 10 cm as shown above. Find area of parallelogram
  A)
   100 sq. cm.    done clear
  B)
   50 sq. cm.      done clear
  C)
   75 sq. cm.                   done clear
  D)
   25 sq. cm. done clear
  View Solution play_arrow

• question_answer43)
  The circumference of a circle is 22 m. What is its area?
  A)
  \[1018.5\,\,{{m}^{2}}\]        done clear
  B)
  \[12.25\,\,{{m}^{2}}\] done clear
  C)
  \[38.5\,\,{{m}^{2}}\]            done clear
  D)
  \[40\,\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer44)
  If the area of a circie is\[154\,\,{{m}^{2}}\]. Find its diameter.
  A)
   14 m                           done clear
  B)
   220 m         done clear
  C)
   22 m               done clear
  D)
   104 m done clear
  View Solution play_arrow

• question_answer45)
  A wire bent in the form of a circle of radius 42 cm is again bent in the form of a square. What is the ratio of the regions enclosed by the circle and the square?
  A)
  \[11:12\]                       done clear
  B)
  \[21:33\] done clear
  C)
  \[22:33\]                       done clear
  D)
  \[14:11\] done clear
  View Solution play_arrow

• question_answer46)
  If the area of a circle is A, radius is r and circumference is C, which of the following is true?
  A)
  \[rC=2A\]                    done clear
  B)
   \[\frac{C}{A}=\frac{r}{2}\] done clear
  C)
  \[AC=\frac{{{r}^{2}}}{2}\]          done clear
  D)
  \[\frac{A}{r}=C\] done clear
  View Solution play_arrow

• question_answer47)
  If the ratio of circumference of two circle is \[4:9,\] what is the ratio of their areas?
  A)
  \[9:4\]                           done clear
  B)
  \[16:81\] done clear
  C)
  \[4:9\]                           done clear
  D)
  \[2:3\] done clear
  View Solution play_arrow

• question_answer48)
  If the sides of an equilateral is 'a', what is the area?
  A)
  \[\frac{3}{4}{{a}^{2}}\]                             done clear
  B)
  \[\frac{\sqrt{3}}{4}{{a}^{2}}\]         done clear
  C)
  \[\frac{3\sqrt{3}}{4}{{a}^{2}}\]                done clear
  D)
  \[\frac{3\sqrt{3}}{2}{{a}^{2}}\] done clear
  View Solution play_arrow

• question_answer49)
  How many tiles \[40\,\,cm\times 40\,\,cm\] each will be required to pave a footpath 1 m wide carried round the outside of a plot\[1800\,\,cm\times 28\,\,m\]?
  A)
   600                             done clear
  B)
   5,2000         done clear
  C)
   9,900                          done clear
  D)
   5,250 done clear
  View Solution play_arrow

• question_answer50)
  The base of a parallelogram is twice its height. If the area of parallelogram is\[162\,\,c{{m}^{2}},\] then find the base.
  A)
   9 cm                           done clear
  B)
   18 cm          done clear
  C)
   32 cm             done clear
  D)
   50 cm done clear
  E)
   None of these done clear
  View Solution play_arrow

• question_answer51)
  Semi-circular lawns are attached to the edges of a rectangular field measuring\[42\,\,m\times 35\,\,m\]. Find the area of the total field.
  A)
  \[3895.6\,\,{{m}^{2}}\]        done clear
  B)
  \[3818.5\,\,{{m}^{2}}\]       done clear
  C)
  \[3735.6\,\,{{m}^{2}}\]                    done clear
  D)
  \[3899.9\,\,{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer52)
  One side of a parallelogram is 240 dm and its area is\[576\,\,{{m}^{2}}\]. Find the corresponding altitude.
  A)
   \[24\,\,m~\]                done clear
  B)
  \[24\,\,cm~\]          done clear
  C)
  \[24\,\,dm~\]               done clear
  D)
  \[24\,\,dm~\] done clear
  View Solution play_arrow

• question_answer53)
  The length and the breadth of, IIT Playground are 490 m and 250 m respectively. What is the cost of the land at Rs.500 per square metre?
  A)
  \[\text{Rs}\text{.10}\,\,\text{lakhs}\]               done clear
  B)
  \[\text{Rs}\text{.}\,\,\text{50}\,\,\text{crores}\] done clear
  C)
  \[\text{Rs}\text{.}\,\,\text{5}\,\,\text{crores}\]                         done clear
  D)
  \[\text{Rs}\text{.}\,\,\text{10}\,\,\text{lakhs}\] done clear
  View Solution play_arrow

• question_answer54)
  The length of a rectangular field is increased by 60% and its breadth is decreased by 40% to form a new rectangular field. Find the percentage change in the area of the field.
  A)
   \[20%\]measure          done clear
  B)
   \[4%\]decrease     done clear
  C)
   \[20%\]decrease          done clear
  D)
   \[4%\]increase done clear
  View Solution play_arrow

• question_answer55)
  The perimeter of two squares are 16 cm, 12 cm. The perimeter of a square whose area is equal to the sum of the areas of first two squares would be:
  A)
   18 cm                         done clear
  B)
   20 cm done clear
  C)
   28 cm            done clear
  D)
   30 cm done clear
  View Solution play_arrow

• question_answer56)
  Diameter of a wheel of a train is 154 m. How much distance will it cover in 1000 revolutions?
  A)
  \[2.84\,\,km\]                            done clear
  B)
  \[5.24\,\,km\] done clear
  C)
  \[6.16\,\,km\]                done clear
  D)
  \[4.84\,\,km\] done clear
  View Solution play_arrow

• question_answer57)
  If ABCD is a parallelogram, what is the ratio of areas of parallelogram ABCD and\[\Delta ABC\]?
  A)
  \[1:2\]                           done clear
  B)
   \[2:1\] done clear
  C)
  \[3:2\]              done clear
  D)
   \[2:3\] done clear
  View Solution play_arrow

• question_answer58)
  How many square metres make 1 square km?
  A)
  \[100\]                          done clear
  B)
  \[1000000\]       done clear
  C)
  \[1000\]                        done clear
  D)
  \[~10000\] done clear
  View Solution play_arrow

• question_answer59)
  The measurements in the given figure are in cm. What is its area?
  A)
  \[200\,\,c{{m}^{2}}\]                       done clear
  B)
  \[186\,\,c{{m}^{2}}\]        done clear
  C)
  \[120\,\,c{{m}^{2}}\]                       done clear
  D)
   \[196\,\,c{{m}^{2}}\] done clear
  View Solution play_arrow

• question_answer60)
  The floor of a hall measures 20 m by 20 m. A carpet is placed on the floor from wall to wall. What is the cost of the carpet if \[1{{m}^{2}}\] of carpet costs Rs. 50 and for every \[1{{m}^{2}}\] of carpet laid, \[\frac{1}{5}{{m}^{2}}\]of carpet material is wasted in cutting and laying?
  A)
   Rs. 25000       done clear
  B)
   Rs. 20000      done clear
  C)
   Rs. 16000                   done clear
  D)
   Rs. 12000 done clear
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