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

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