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Geometry Test - 2

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Geometry Test - 2
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The following figure contains ______ squares.
    Solution
    In the given figure, there are 5 squares, namely A, B, C, F and DE (two quadrilaterals D and E joined).


  • Question 2
    1 / -0
    Which among the dotted lines in the following figure are lines of symmetry?


    Solution

    From the above figure, it can be seen that line EF and line GH divide the given image in two equal halves. Therefore, these 2 lines are the lines of symmetry for the given figure.
  • Question 3
    1 / -0
    All the figures given below are _________.


    Solution
    Polygons are 2-dimensional shapes. They are made up of straight lines, and the shape is closed.
    A quadrilateral is a polygon with four edges (or sides) and four vertices or corners.
    All four figures are both polygons and quadrilaterals.
  • Question 4
    1 / -0
    What is the perimeter of the given figure?



    Solution
    Perimeter is the total distance around the outside, which can be found by adding together the length of each side. In case of a square, all four sides are of the same length, so the perimeter is four times the length of a side.
    As per the given figure, We can see 5 different squares and none of the five given squares are overlapping with each other.
    So Perimeter of one square,
    Side of each square = 2 cm
    So, perimeter of each square = 4 x 2 = 8 cm
    So, perimeter of 5 squares = 8 + 8 + 8 + 8 + 8 = 40 cm
  • Question 5
    1 / -0
    In the given figure, what is the least number of arrows that should be shaded so that the given figure becomes symmetrical about the dotted line?


    Solution
    We need to shade 2 more arrows in the figure in order for the given figure to become symmetrical about the dotted line.


  • Question 6
    1 / -0
    How many squares are there in the following figure?


    Solution
    There are 3 squares in this figure.


  • Question 7
    1 / -0
    Find the area of CGHI.


    Solution
    We can see in the given figure:
    Side AB = CI = 10 cm
    CG = 10 cm
    Area of square = (side)2
    Area of square CGHI
    = 10 x 10 = 100 cm2
  • Question 8
    1 / -0
    Which of the following figures has the largest perimeter?


    Solution
    Perimeter of a figure is the sum of all its sides.
    Perimeter of figure I = 5 + 4 + 5 + 4 = 18 cm
    Perimeter of figure II = 5 + 4 + 3 = 12 cm
    Perimeter of figure III = 2 + 2 + 2 + 2 + 2 = 10 cm
    Therefore, figure I has the largest perimeter.
  • Question 9
    1 / -0
    Which of the lines in the following figure is not a line of symmetry?


    Solution
    The Line of Symmetry is the imaginary line from where you could fold the image and have both halves equal(match exactly).
    Since line CD does not divide the star in two equal halves that match, therefore it is not a line of symmetry.




  • Question 10
    1 / -0
    AOCB is a rectangle and AMN is a triangle. Find the length OM.


    Solution
    In a rectangle, opposite sides are equal.
    AM = AO + OM
    12 cm = 8 cm + OM
    OM = 4 cm
  • Question 11
    1 / -0
    Line P and four points are shown on the grid. Which two points appear to lie on a line parallel to line P?


    Solution
    Parallel lines are lines in a plane which do not meet.
    It means two lines in a plane that do not intersect or touch each other at any point are said to be parallel.
    Points A and D appear to lie on a line parallel to line P.


  • Question 12
    1 / -0
    The following object made of cubes is split into four pieces. Which of the given options contains the possible four pieces of the object?


    Solution


    There are 11 cubes in the given object.
    Among all the options, only option 2 contains a total of 11 cubes.
    The following can be the four pieces of the object because it has 11 cubes.
    = 1 + 1 + 8 + 1 = 11 cubes.
  • Question 13
    1 / -0
    If the given rectangle and the square have the same area, then find out the perimeter of the rectangle.


    Solution
    Area of triangle =

    Area of triangle = 24 m2
    Now:
    Area of rectangle = Length x Breadth
    = (6 x Breadth of rectangle)
    Area of rectangle = Area of triangle
    (6 x Breadth) = 24
    Breadth = 24 ÷ 6
    Breadth = 4 m

    Now, perimeter of rectangle = 2 x (Length + Breadth)
    = 2 x (6 + 4)
    = 2 x 10
    = 20 m
  • Question 14
    1 / -0
    How many cubes are needed to make the following object?


    Solution
    Number of cubes in layer 1 (Bottom layer) = 11
    Number of cubes in layer 2 = 4
    Number of cubes in layer 3 = 2
    Number of cubes in layer 4 (Top layer) = 1
    Total number of cubes
    = 11 + 4 + 2 + 1
    = 18
  • Question 15
    1 / -0
    The dimensions of a cube are:



    What is the volume of the following object?


    Solution
    Volume of 1 cube = Length x Breadth x Height
    = 1 x 1 x 1 =
    There are 7 cubes in the given object, so its volume =
  • Question 16
    1 / -0
    Which of the following figures has no line of symmetry?
    Solution
    The Line of Symmetry is the imaginary line where you could fold the image and have both halves match exactly.
    A line of symmetry divides a figure into two mirror-image halves.
    The parallelogram does not have any line of symmetry.


  • Question 17
    1 / -0
    Which of the following lines is an oblique or slant line?


    Solution
    Oblique or slant lines: Oblique or slant lines are sloping, rather than horizontal or vertical.
    Therefore, line GH shows an oblique line (slanted line).
  • Question 18
    1 / -0
    The area of the following shape is 300 m2. Find the lengths of the missing sides.
    Solution


    We can split the given shape into two rectangles: GDEF and ABCG.
    Therefore, area of shape = Area of GDEF + Area of ABCG
    ED = 4 m, EF = 10 m, CD = 16 m, BC (R) = ?
    AB (Q) = CD + GD = 10 + 16 = 26 m

    Area of the given shape = (ED x EF ) + (AB x BC)
    (4 x 10) + (26 x BC) = 300

    BC =

    BC (R) = 10 m
    Hence, AF (P) = AG + GF = 10 + 4 = 14 m
    P = 14 m, Q = 26 m and R = 10 m
  • Question 19
    1 / -0
    How many faces does a cuboid have?


    Solution
    A cuboid has 6 faces.


  • Question 20
    1 / -0
    Rahul plotted four points on a grid. The four points together make a _____.
    Solution
    Rectangle has 2 pairs of equal sides and 4 right angles.Opposite pairs of sides are equal.
    Quadrilateral is a closed figure made up of four straight edges and four corners.
    Triangle has 3 sides.
    Square has 4 equal sides and 4 right angles.
    The four points will form a quadrilateral.
  • Question 21
    1 / -0
    John plans to cover the floor of a room with carpet. What should John know in order to make sure he buys enough carpet?
    Solution
    John should know the area of the floor to be able to buy enough carpet to cover the floor of the room.
    Area = Length x Breadth
  • Question 22
    1 / -0
    Which shape will Abrahim get upon unfolding the given cuboid?


    Solution
    Shape B is the one Abrahim will get upon unfolding the cuboid.


  • Question 23
    1 / -0
    Sunny has a backyard in the shape of a rectangle. The length of the backyard is thrice its breadth. The breadth is 20 m. Find the area of the backyard.
    Solution
    Breadth = 20 m
    Length is thrice the breadth.
    Therefore, length of backyard = 3 x 20 = 60 m
    Area of the backyard = 60 m x 20 m
    =
  • Question 24
    1 / -0
    A spider is moving from the midpoint of side AL to point F along the boundary. How much distance does it have to cover to reach point F?


    Solution

    Spider will start from mid point of LA and would follow the path along ABCDEF
    Distance covered = AL ÷ 2 + AB + BC + CD + DE + EF
    AB + CD + EF = 10 cm (vertical distance)
    BC + DE + Half of AL = 6 cm (Half of distance GF)
    Hence, distance covered = 10 + 6 = 16 cm
  • Question 25
    1 / -0
    To make an artwork, Salim cuts a piece of paper into a shape with 5 sides, all of them having the same length. What is the shape of the cut paper?
    Solution
    A regular pentagon is one with all five sides and angles equal. Its interior angles are all 108 degrees.


  • Question 26
    1 / -0
    The given figure (not drawn to scale) is made up of 8 identical squares. The perimeter of the figure is 98 cm. What is the length of each side of the square?


    Solution
    Let each side of the square be X cm.
    Perimeter of the figure = 98 cm
    14X = 98
    X = 98 ÷ 14
    X = 7 cm
    Hence, side of the square is 7 cm.
  • Question 27
    1 / -0
    How many of the following shapes are symmetrical?


    Solution
    The following seven shapes are symmetrical.


  • Question 28
    1 / -0
    The following figure is obtained by placing two identical rectangles one on top of the other with their axes perpendicular to each other. The length of each rectangle is 14 cm and breadth is 6 cm. Find the perimeter of the figure.


    Solution


    Perimeter of the figure = AB + BC + CD + DE + EF + FG + GH + HI + IJ + JK + KL + LA
    = (AB + CD + FE) + (BC + AL + JK) + (DE + FG + HI) + (GH + IJ + KL)
    = 14 + 14 + 14 + 14 = 56 cm
  • Question 29
    1 / -0
    Each of the figures given below is made up of identical side 3 cm squares. Which among them has the greatest perimeter?


    Solution
    Perimeter of figure A = 16 x 3 = 48 cm
    Perimeter of figure B =18 x 3 = 54 cm.
    Perimeter of figure C = 12 x 3 =36 cm
    Perimeter of figure D =14 x 3 = 42 cm
    B is the correct answer, as it has perimeter = 54 cm


  • Question 30
    1 / -0
    The given figure (not drawn to scale) is made up of a rectangle, a square and a triangle. Find the perimeter of the figure.


    Solution


    KC = KJ + JG + GF + FC = 2 + 5 + 5 + 5 = 17 m
    KC = AB = 17 m
    Perimeter = AB + BC + CE + EF + FG + GH + HI + IJ + JK + AK
    = 17 + 6 + 7 + 6 + 5 + 5 + 5 + 5 + 2 + 6 = 64 m
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