Mathematics for IGCSE & O level - Geometrical Constructions (Section 1)

  • 1
    What should be used for all straight lines in a geometric construction?
    Respuesta
    (C)
    Ruler
  • 2
    Which of the following is the unit of measurement for angles?
    Respuesta
    (C)
    degrees
  • 3
    In a triangle, what is the sum of all its angles?
    Respuesta
    (B)
    180°
  • 4
    What is meant by an accuracy of '1mm' in the context of geometrical constructions?
    Respuesta
    (B)
    The tolerance when measuring the length of lines.
  • 5
    Which of the following statements are true regarding the construction of a triangle, given the lengths of three sides?
    Respuesta
    A
    B
    D
  • 6
    What is the relationship between an acute and reflex angle that make up the same angle?
    Respuesta
    (C)
    They add up to 360°.
  • 7
    Which of the following is an obtuse angle?
    Respuesta
    (C)
    135°
  • 8
    What is a 'net' in the context of 3D shapes?
    Respuesta
    (B)
    A 2D shape that can be folded to make a 3D object
  • 9
    What is a common error in measuring angles using a protractor?
    Respuesta
    (A)
    Using the wrong scale.
  • 10
    An angle is classified as obtuse when it is:
    Respuesta
    (C)
    Between 90° and 180°
  • 11
    What is the sum of the internal angles of any triangle?
    Respuesta
    (C)
    180°
  • 12
    A reflex angle is:
    Respuesta
    (C)
    Between 180° and 360°
  • 13
    When constructing a triangle, how do you find the lengths of the sides?
    Respuesta
    (B)
    Using a ruler.
  • 14
    Which type of angle is over half a turn?
    Respuesta
    (C)
    Reflex
  • 15
    Which step is essential before measuring an angle with a protractor?
    Respuesta
    (D)
    All of the above
  • 16
    What can be used to determine the length of sides of a triangle?
    Respuesta
    (C)
    A ruler
  • 17
    What is a key step for constructing a geometrical figure?
    Respuesta
    (D)
    All of the above.
  • 18
    Which of the following tools is NOT needed to construct a triangle from scratch given three sides?
    Respuesta
    (C)
    Protractor
  • 19
    What does it mean if an angle is over 1/2 a turn?
    Respuesta
    (C)
    It is a reflex angle.
  • 20
    Which tool is typically used with a ruler to draw an arc?
    Respuesta
    (B)
    Compass
  • 21
    An obtuse angle has a measure between:
    Respuesta
    (B)
    90° and 180°
  • 22
    Which two tools, other than a pencil, are essential for constructing a triangle from scratch?
    Respuesta
    (A)
    Ruler and compass
  • 23
    What is the name for an angle that measures more than 180 degrees but less than 360 degrees?
    Respuesta
    (C)
    Reflex
  • 24
    What do you need to draw if the lengths of three sides are known?
    Respuesta
    (B)
    A triangle
  • 25
    What is the use of a compass in geometry?
    Respuesta
    (C)
    To draw arcs and circles
  • 26
    What is the key to accurately constructing geometric figures?
    Respuesta
    A
    C
    D
  • 27
    In relation to a 3D shape, what does the term 'net' refer to?
    Respuesta
    (B)
    A 2D shape that folds to form the 3D shape
  • 28
    What does a reflex angle measure?
    Respuesta
    (C)
    More than 180 degrees and less than 360 degrees
  • 29
    Which type of angle can be measured with a protractor up to 180°?
    Respuesta
    (D)
    All of the above
  • 30
    An angle that is greater than 90 degrees and less than 180 degrees is called:
    Respuesta
    (B)
    Obtuse
  • 31
    What must be used for all straight lines when constructing a geometric figure?
    Respuesta
    (C)
    Ruler
  • 32
    What is the function of a protractor?
    Respuesta
    (B)
    Measure angles.
  • 33
    Which of the following is a key point when constructing a triangle?
    Respuesta
    (B)
    Angles between lines should be drawn and measured to an accuracy of 1°
  • 34
    What is the sum of the internal angles of any triangle?
    Respuesta
    (B)
    180°
  • 35
    What instrument is used to measure the size of an angle?
    Respuesta
    (B)
    Protractor
  • 36
    What can a protractor be used to measure?
    Respuesta
    (C)
    The size of angles.
  • 37
    What is a common mistake when measuring angles?
    Respuesta
    (A)
    Using the wrong scale.
  • 38
    What should be used to accurately measure the length of a side or draw straight lines?
    Respuesta
    (C)
    Ruler
  • 39
    What is key when constructing a geometrical shape?
    Respuesta
    A
    C
    D
  • 40
    Which of the following tools is primarily used for measuring angles?
    Respuesta
    (B)
    Protractor
  • 41
    The angle PQR is approximately:
    Respuesta
    (C)
    120°
  • 42
    Which of the following statements about drawing straight lines accurately is correct?
    Respuesta
    (C)
    Use a ruler.
  • 43
    Which tool helps in creating arcs and circles?
    Respuesta
    (C)
    Compass
  • 44
    When is the correct scale used in the protractor?
    Respuesta
    (C)
    The scale that starts at zero on the same side as one of the arms.
  • 45
    When measuring an angle, which scale should you use?
    Respuesta
    (C)
    The scale that starts at zero on the same side as one of the arms
  • 46
    Which tool is used to accurately draw a straight line?
    Respuesta
    (C)
    Ruler
  • 47
    Which of the following is true about the relationship between the acute angle and the reflex angle that make up the same angle?
    Respuesta
    (C)
    They add up to 360°.
  • 48
    Which tools are generally used for constructing a triangle given the length of three sides?
    Respuesta
    B
    C
  • 49
    When constructing a geometrical shape, to what accuracy should angles between the lines be measured?
    Respuesta
    (A)
    To the nearest degree.
  • 50
    What is the first step when you want to measure an angle with a protractor?
    Respuesta
    (B)
    Estimate the angle.