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Geometry Test - 3

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Geometry Test - 3
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The given figure contains _______ triangles.

    Solution


    Total number of triangles = 18 (AOG, BOG, BOJ, DOJ , DOH, COH, COI, AOI, AOB, BOD, COD, AOC, ADC, BCD, ABD, CAB, BED, CDF)

    Hence Option (4) is Correct.
  • Question 2
    1 / -0
    Which of the following lines shows the line of symmetry?

    Solution
    Line AB shows the line of symmetry because it divides the given figure in two identical parts.
  • Question 3
    1 / -0


    The given figures are all _________.
    Solution
    These all are polygons. A polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain.
  • Question 4
    1 / -0
    Find 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 = = 20 m
    Since None of the given squares are overlapping with each other, So to calculate the perimeter of the entire figure, we can say
    Perimeter of the Entire Figure = (Total Number of Squares) (Perimeter of one Square)
    = 5 x 20 = 100 m

    Hence Option (3) is Correct.
  • 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 about the line AB?

    Solution


    Only two squares must be shaded to make it symmetrical about AB.
  • Question 6
    1 / -0
    How many rectangles are there in the given figure?


    Solution


    The rectangles formed are:
    1, 2, 3, 7, 8, 9, (1 2), (2 3), (7 8), (8 9), (1 2 3), (7 8 9), (1 2 7 8), (2 8 3 9), (1 7), ( 2 8), (3 9), (1,2,3,7,8,9)
    So, there are 18 rectangles in total.

    Hence Option (3) is Correct.
  • Question 7
    1 / -0
    Find the length of ED.

    Solution


    ED = 12 - 7 = 5 mm
  • Question 8
    1 / -0
    Which of the following figures has the greatest perimeter?

    Solution
    Perimeter of (A) = 5 + 5 + 5 = 15 cm
    Perimeter of (B) = 7 + 7 + 7 + 7 = 28 cm
    Perimeter of (C) = 5 + 5 + 5 + 5 = 20 cm
    So, Figure (B) has the greatest perimeter.

    Hence Option (2) is Correct.
  • Question 9
    1 / -0
    Which line of the diagram is the correct line of symmetry?

    Solution
    Line QU is the correct line of symmetry because QU is the line where we could fold the image and have both the halves match exactly.
  • Question 10
    1 / -0
    PQRS and TUVW are two squares.
    Find the length of RU.


    Solution
    RU = TU - TR
    Now, TR = SR - ST = 10 - 6 = 4 cm
    Now, RU = 12 - 4 = 8 cm


    Hence Option (1) is Correct.
  • Question 11
    1 / -0
    Line A and four points are shown on the grid below. Which two points will appear on the same line parallel to line A?

    Solution
    Parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.
    As per the given figure given below, Points d and k will appear to lie on the same line parallel to line A.



    Hence Option (2) is Correct.
  • Question 12
    1 / -0
    The Solid given below was cut into some pieces. Which of the following groups can be the pieces of the given Solid?

    Solution


    The correct answer is option (2).
  • Question 13
    1 / -0
    The perimeters of triangle A and square B are equal. Find the length of the side of triangle A.

    Solution
    Perimeter of the square = 6 + 6 + 6 + 6 = 24 cm

    We know that the total number of sides of a triangle is 3.

    Length of the side of triangle A = = 8 cm
  • Question 14
    1 / -0
    Kamal plotted four points on a grid, as shown below.


    The four points together make a _____.
    Solution
    The four points together make a square because the figure formed after all the four points are joined together would have equal sides.
    We know that a square has all its sides equal in length.
  • Question 15
    1 / -0
    How many cubes are needed to make the given solid?

    Solution
    Number of cubes needed for bottom layer = 4 x 4 = 16
    Number of cubes needed for second layer from bottom = 3 x 4 = 12
    Number of cubes needed for top layer = 2 x 4 = 8
    Total number of cubes needed = 16 + 12 + 8 = 36
  • Question 16
    1 / -0
    Find the perimeter of the shaded part of the figure.

    Solution



    The Perimeter is the total distance around the outside, which can be found by adding together the length of each side.
    So perimeter of the shaded region = 2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2 = 36 cm.
    The perimeter of the shaded region is 36 cm.

    Hence Option (1) is Correct.
  • Question 17
    1 / -0
    Which of the following shapes does not have any line of symmetry?

    Solution
    Except (d), which is a parallelogram, each of the remaining three has atleast one line of symmetry.



    Hence Option (4) is Correct.
  • Question 18
    1 / -0
    Which of the following is a pair of parallel lines?

    Solution


    Two lines are said to be parallel if they never meet each other. Here, only d shows parallel lines.
  • Question 19
    1 / -0
    Find the perimeter of the given figure.

    Solution


    Perimeter of the given figure = 5 + 7 + 3 + 3 + 15 + 5 + 7 + 5 = 50 cm
  • Question 20
    1 / -0
    Which of the following figures consists of exactly seven faces?

    Solution


    Out of all the given figures, Figure C consists of exactly 7 Faces.

    Hence Option (3) is Correct.
  • Question 21
    1 / -0
    Raheem wants to cover the floor of a rectangular room with tiles. What should Raheem know to make sure he buys enough tiles?
    Solution
    Raheem should know about the area of the room to cover the floor with tiles.
  • Question 22
    1 / -0
    Which shape can we make by folding the given net?

    Solution
    The given net consists of 2 triangles and 3 rectangles.
    So we can say that with 2 triangles and 3 rectangles, we can make Figure (A)
    Figure A is the correct answer.

    Hence Option (1) is Correct.
  • Question 23
    1 / -0
    If the perimeter of a square is 144 cm, find the length of the side of the square.
    Solution
    Perimeter of the square = 144 cm
    Or 4 x Side = 144 cm
    Side = 144 ÷ 4 = 36 cm
  • Question 24
    1 / -0
    Raman is travelling from point A to B. The given figure shows the path he followed. Find out the distance he travelled.

    Solution


    Here, AJ = CD + EF + GH + IB

    And JB = AC + DE + FG + HI

    So, total distance from point A and B = 20 + 28 = 48 cm
  • Question 25
    1 / -0
    Identify the shape.

    I have four sides. My opposite sides are of same length. What am I?
    Solution
    A Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides.

    So, the explanation given in the question matches the properties of a rectangle.

    Hence, option 2, i.e. 'Rectangle' is the correct option.
  • Question 26
    1 / -0
    The following figure is made up of six identical squares. If each side of the square is 5 cm, find out the perimeter of the figure.

    Solution


    Here, perimeter of the figure = 5 + 5 + 5 + 5 + 15 + 5 + 5 + 5 + 5 + 5 = 60 cm
  • Question 27
    1 / -0
    Find out the number of shapes that are not symmetrical.

    Solution


    Only these 4 shapes are not symmetrical.

  • Question 28
    1 / -0
    The following figure is made of squares. If the length of side of the small square is 'A' and Perimeter of the entire shape is 60 cm, Find out the Value of A.


    Solution
    As per the information given in the question, the length of the each side of a square be A cm.
    Also Perimeter of the entire figure is 60 cm.
    Then, 12A = 60 cm
    A = 60 ÷ 12 = 5 cm

    Hence Option (3) is Correct.
  • Question 29
    1 / -0
    Each of the following figures is made up of 1 cm identical squares. Which one of them has the greatest perimeter?

    Solution
    Perimeter of P = 16 cm
    Perimeter of Q = 14 cm
    Perimeter of R = 14 cm
    Perimeter of S = 14 cm
    So, P has the greatest perimeter, i.e. 16 cm.
  • Question 30
    1 / -0
    The following figure is made up of two rectangles overlapping each other. If the length is 15 cm and the width is 5 cm, find out the perimeter of the figure.

    Solution


    Perimeter of the figure = AB + BC + CD + DE + EF + FG + GH + HI + IJ + JK + KL + AL
    = [CB + AL + KJ] + [LK + JI + HG] + [DE + FG + HI] + [AB + CD + EF]
    = 15 + 15 + 15 + 15 = 60 cm
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