Mathematics for IGCSE & O level - Geometrical Constructions (Section 2)

  • 1
    What is the sum of the internal angles in a triangle?
    Одговорити
    (B)
    180°
  • 2
    Which of the following shapes can be used to construct a triangle given the lengths of three sides?
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    (A)
    Ruler and compass
  • 3
    Which of the following describes an obtuse angle?
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    (C)
    An angle between 90° and 180°
  • 4
    What should be used for accurate measurements when constructing a triangle?
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    B
    C
  • 5
    When using a protractor, how do you ensure an accurate measurement?
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    (A)
    Estimate the angle size first, and align the zero line with one arm of the angle.
  • 6
    If you are measuring an angle and the zero line of your protractor is aligned with one of the angle's arms, where should the center of the protractor be?
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    (B)
    At the vertex of the angle.
  • 7
    How do you measure angle A (obtuse) if you know it's reflex angle is 35°?
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    (B)
    145°
  • 8
    When constructing geometric shapes, which tool is specifically used for drawing and measuring straight lines?
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    (C)
    Ruler
  • 9
    What is the main purpose of a compass in geometric constructions?
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    (C)
    To draw circles and arcs
  • 10
    Which of the following are the essential tools to construct a geometrical figure?
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    A
    B
    C
  • 11
    What is the most important initial step when measuring an angle using a protractor?
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    (B)
    Estimating the angle's approximate measure.
  • 12
    What does the word 'net' represent in 3-D shapes?
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    (B)
    A folded 2-D shape
  • 13
    What should always be used when measuring straight lines in a geometric construction?
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    (C)
    Ruler
  • 14
    What must be done to find the size of an angle?
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    (B)
    Estimate its approximate size.
  • 15
    What is the name given to an angle that is greater than 180° but less than 360°?
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    (C)
    Reflex Angle
  • 16
    In the process of measuring an angle, what is the first thing you should do?
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    (A)
    Make an estimate
  • 17
    If you have the lengths of all three sides, which geometrical figure can you construct?
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    (C)
    A triangle
  • 18
    Which of the following is true when drawing a triangle?
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    (B)
    The sum of all angles is 180°
  • 19
    If an angle appears to be between 90° and 180°, what type of angle is it?
    Одговорити
    (B)
    Obtuse
  • 20
    In the context of 3-D shapes, what is a 'net'?
    Одговорити
    (A)
    A 2-D shape that can be folded to make a 3-D object.
  • 21
    What tools are needed to accurately construct a triangle when you know the lengths of its three sides?
    Одговорити
    (B)
    Ruler and compass
  • 22
    Which is NOT a key step in geometric construction?
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    (D)
    Avoiding the use of a ruler.
  • 23
    What does a 'net' represent in terms of a 3-D shape?
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    (B)
    A 2D shape that can be folded into a 3D shape
  • 24
    Which type of triangle can be drawn, knowing its three sides?
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    (D)
    All of the above
  • 25
    Which scale of the protractor should be aligned with one arm of the angle?
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    (C)
    The zero line
  • 26
    What is the most accurate measurement for drawing straight lines?
    Одговорити
    (B)
    Ruler
  • 27
    What is the definition of a net in 3-D shapes?
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    (B)
    A flat shape that can be folded to make a 3-D object.
  • 28
    What should be done if you are unsure whether a net will form a correct 3-D shape?
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    (B)
    Cut it out and try folding it.
  • 29
    What should be done before measuring an angle with a protractor?
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    (D)
    All of the above
  • 30
    What is the first step in measuring an angle?
    Одговорити
    (B)
    Estimate the angle size.
  • 31
    When constructing a triangle with a compass, what does the compass do?
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    (C)
    Creates arcs with a specific radius
  • 32
    Which of the following can be used to determine the length of sides?
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    (C)
    A ruler
  • 33
    What is a key feature when constructing geometrical figures?
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    (A)
    Accurate measurements and neat drawing.
  • 34
    What should you do before reading the scale of a protractor?
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    (D)
    All of the above
  • 35
    What do you need to draw a triangle given the lengths of its three sides?
    Одговорити
    (C)
    Ruler and compass
  • 36
    What is a reflex angle?
    Одговорити
    (B)
    An angle greater than 180° but less than 360°
  • 37
    When measuring an angle, which part of the protractor must be aligned with the vertex of the angle?
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    (C)
    The center point
  • 38
    How many degrees are in a complete turn?
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    (D)
    360
  • 39
    What geometrical tools are needed to accurately draw a triangle, knowing the length of all its sides?
    Одговорити
    (A)
    A ruler and a compass
  • 40
    What instrument is used to measure angles?
    Одговорити
    (B)
    Protractor
  • 41
    What two angles make up 360 degrees?
    Одговорити
    (D)
    Acute and Reflex angles
  • 42
    What type of angle is over ½ a turn?
    Одговорити
    (C)
    Reflex
  • 43
    How many faces does a triangular prism have?
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    (C)
    5
  • 44
    Which of the following are key points to remember when drawing geometrical constructions?
    Одговорити
    A
    B
    C
    D
  • 45
    When calculating surface area, what units are used?
    Одговорити
    (B)
    Square units
  • 46
    What is the estimated angle of a given angle, if it is between 90 and 180 degrees?
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    (C)
    120
  • 47
    How can you check if a net is correct?
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    (A)
    Cut it out and try folding it.
  • 48
    If you are given the dimensions of a cuboid (length, width, height), which of the following can you determine?
    Одговорити
    A
    B
  • 49
    What is a net in the context of 3-D shapes?
    Одговорити
    (B)
    A flat shape that can be folded to make a 3-dimensional object.
  • 50
    What is the shape of the faces that make up a triangular prism?
    Одговорити
    A
    C