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Geometry Test - 1

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Geometry Test - 1
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Weekly Quiz Competition
  • Question 1
    1 / -0
    Count the number of triangles in the given figure.


    Solution
    There are total 10 triangles in the given figure.


  • Question 2
    1 / -0
    Which of the following thin lines represents the line of symmetry in the following figure?

    Solution
    If you can reflect (or flip) a figure over a line and the figure appears unchanged, then the figure has reflection symmetry or line symmetry.
    Line DC represents the line of symmetry.
  • Question 3
    1 / -0


    The figures given above are all ___________.
    Solution
    All the given figures are 4 sided and closed, so they all are quadrilaterals.
  • Question 4
    1 / -0
    The following figure is made by squares of side 4 cm each. What is the perimeter of the following figure.


    Solution



  • Question 5
    1 / -0
    In the given diagram, what is the least number of squares that must be shaded so that the given figure is symmetrical along the line XY?


    Solution
    If you can reflect (or flip) a figure over a line and the figure appears unchanged, then the figure has reflection symmetry or line symmetry.



    So, 2 squares must be shaded.
  • Question 6
    1 / -0
    How many squares are there in the following figure?


    Solution


    So, there are total 12 squares in the figure.
  • Question 7
    1 / -0
    Find the length of GD.


    Solution
    AC = 5.5 cm
    BZ + GD = 5.5 cm
    AC - BZ = GD
    5.5 - 3 = GD
    GD = 2.5 cm
  • Question 8
    1 / -0
    Which of the following figures has the greatest perimeter?


    Solution
    Perimeter of 1stfigure = 5 + 5 + 3 + 3 + 3 + 3 = 22 cm
    Perimeter of 2ndfigure = 6 + 6 + 3.5 + 3.5 = 19 cm
    Perimeter of 3rdfigure = 5.5 + 5.5 + 5.5 = 16.5 cm
    So, figure 1 has the greatest perimeter.
  • Question 9
    1 / -0
    Which line in the diagram is the correct line of symmetry?


    Solution
    If you can reflect (or flip) a figure over a line and the figure appears unchanged, then the figure has reflection symmetry or line symmetry.
    XY is the correct line of symmetry.
  • Question 10
    1 / -0
    ABCD is a square and EFGH is a rectangle. The length of AI and KC is 1.5 cm each. Find the length of FH.


    Solution
    CD = AC = 8 cm
    AC = AI + IK + KC
    8 = 1.5 + IK + 1.5
    IK = 5 cm
    IK = FH = 5 cm
  • Question 11
    1 / -0
    Line A and five points are shown on the grid. Which of the two points appear to lie on the same line that is parallel to line A?


    Solution


    Points B and D appear to lie on the same line that is parallel to line A.
  • Question 12
    1 / -0
    The cube shown here is cut into three pieces. Which of the following groups CANNOT be the three pieces of the cube?


    Solution

    Option 1 has 12 small cubes.
  • Question 13
    1 / -0
    The perimeters of rectangle A and rectangle B are equal. Find the length of rectangle A.


    Solution


    Perimeter of rectangle A = 2(2 cm + Length)
    Perimeter of rectangle B = 2(3 cm + 5 cm)
    We are given that
    Perimeter of A = Perimeter of B
    2(2 cm + Length) = 2(3 cm + 5 cm)
    2 + Length = 8 cm
    2 cm + Length = 8 cm
    Length = 8 - 2 cm = 6 cm
    Length = 6 cm
  • Question 14
    1 / -0
    Harpreet plotted three points on the grid. The three points together make a _______________.


    Solution
    The three points will make a triangle as they are not in a straight line.


  • Question 15
    1 / -0
    How many cubes are needed to make the given solid?


    Solution
    Number of cubes in layer 1 = 12
    Number of cubes in layer 2 = 12
    Number of cubes in layer 3 = 12
    Number of cubes in layer 4 = 12
    Total number of cubes = 48

  • Question 16
    1 / -0
    Find the perimeter of the shaded part of the given figure.


    Solution

    = 28 cm
  • Question 17
    1 / -0
    Which of the following figures DOES NOT have the line of symmetry?
    Solution


    The figure in option 1 has no line of symmetry.
  • Question 18
    1 / -0
    Study the given graph.



    Which of the given figures show a pair of non-intersecting lines?
    Solution
    Non-intersecting lines are also known as parallel lines. Using this information we get that figure 1 and figure 4 show parallel lines.
  • Question 19
    1 / -0
    Find the perimeter of the given figure.


    Solution
    Perimeter of the given figure = 8 cm + 2 cm + 5 cm + 10 cm + 2 cm + 6 cm + 3 cm + 2 cm = 38 cm
  • Question 20
    1 / -0
    Which of the following figures has exactly 4 faces?
    Solution
    The figure in option 1 has exactly 4 faces.
  • Question 21
    1 / -0
    Amit wants to tile his whole room with Italian marble. What should Amit know to make sure he buys enough tiles?
    Solution
    Amit should know the area of the room to make sure he buys enough tiles.
  • Question 22
    1 / -0
    Tanvi made the following shape by folding the cardboard along the dotted lines.



    Which shape did Tanvi make?
    Solution
    After folding along the dotted lines, we get


  • Question 23
    1 / -0
    Rahul goes to a park for morning walk. The length of the park is triple the breadth. If the breadth is 40 m, what is the perimeter of the park?
    Solution
    Breadth = 40 m
    Length = 120 m
    Perimeter= 2 x (l + b)
    = 2 x (120 + 40)
    = 2 x (160)
    = 320 m
  • Question 24
    1 / -0

    Abby left one triangular shaped cookie on the table, as shown above, which has equal sides. An ant started eating that cookie from one of the corners and moved along the sides while eating the cookie. How much distance will the ant move if it comes to the same point from where it started? (Side of the triangular cookie = 4 cm)
    Solution
    Perimeter of the triangle = Side + Side + Side
    = 4 + 4 + 4
    = 12 cm
  • Question 25
    1 / -0
    Rohit made a shape whose opposite sides are parallel and equal to each other. Each interior angle of the shape measures 90o. Find the shape.
    Solution
    A rectangle has opposite sides parallel and equal and each interior angle measuring 90o.
  • Question 26
    1 / -0
    The given figure (not drawn to scale) is made up of 8 identical squares. The perimeter of the figure is 108 cm.



    What is the length of each side of a square?
    Solution

    Let the side of the square be x.
    18x = 108
    x = 108 ÷ 18
    x = 6
  • Question 27
    1 / -0
    How many of the following figures are symmetrical?

    Solution

    Except the first figure, all the figures have a line of symmetry.
  • Question 28
    1 / -0
    There are two books in the shape of a rectangle. Rohan placed the books as shown below in the figure. The length of the book is 8 cm and its width is 5 cm.



    Find the perimeter of the figure.
    Solution

    a + b + 5 = 8
    a + b = 3 cm

    c + d + 5 = 8
    c + d = 3 cm


    Perimeter = 4 times 5 + 2 (a + b) + 2(c+ d)= 20 + 6 + 6 = 32 cm
  • Question 29
    1 / -0
    Each of the figures given below is made up of 4 cm identical squares. Which one of the figures has the greatest perimeter?


    Solution

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


    Solution


    Perimeter = AB + BC + CD + DE + EF + FG + GH + HI
    = 5 + 7 + 5 + 7+ 3 + 4 + 4 + 3 + 5
    = 43 cm
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