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

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