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

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