Mathematics for IGCSE & O level - Geometrical Constructions (Section 1)
1
What should be used for all straight lines in a geometric construction?
2
Which of the following is the unit of measurement for angles?
3
In a triangle, what is the sum of all its angles?
4
What is meant by an accuracy of '1mm' in the context of geometrical constructions?
Answer(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?
6
What is the relationship between an acute and reflex angle that make up the same angle?
7
Which of the following is an obtuse angle?
8
What is a 'net' in the context of 3D shapes?
Answer(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?
10
An angle is classified as obtuse when it is:
11
What is the sum of the internal angles of any triangle?
13
When constructing a triangle, how do you find the lengths of the sides?
14
Which type of angle is over half a turn?
15
Which step is essential before measuring an angle with a protractor?
16
What can be used to determine the length of sides of a triangle?
17
What is a key step for constructing a geometrical figure?
18
Which of the following tools is NOT needed to construct a triangle from scratch given three sides?
19
What does it mean if an angle is over 1/2 a turn?
20
Which tool is typically used with a ruler to draw an arc?
21
An obtuse angle has a measure between:
22
Which two tools, other than a pencil, are essential for constructing a triangle from scratch?
23
What is the name for an angle that measures more than 180 degrees but less than 360 degrees?
24
What do you need to draw if the lengths of three sides are known?
25
What is the use of a compass in geometry?
26
What is the key to accurately constructing geometric figures?
27
In relation to a 3D shape, what does the term 'net' refer to?
Answer(B)
A 2D shape that folds to form the 3D shape
28
What does a reflex angle measure?
Answer(C)
More than 180 degrees and less than 360 degrees
29
Which type of angle can be measured with a protractor up to 180°?
30
An angle that is greater than 90 degrees and less than 180 degrees is called:
31
What must be used for all straight lines when constructing a geometric figure?
32
What is the function of a protractor?
33
Which of the following is a key point when constructing a triangle?
Answer(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?
35
What instrument is used to measure the size of an angle?
36
What can a protractor be used to measure?
37
What is a common mistake when measuring angles?
38
What should be used to accurately measure the length of a side or draw straight lines?
39
What is key when constructing a geometrical shape?
40
Which of the following tools is primarily used for measuring angles?
41
The angle PQR is approximately:
42
Which of the following statements about drawing straight lines accurately is correct?
43
Which tool helps in creating arcs and circles?
44
When is the correct scale used in the protractor?
Answer(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?
Answer(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?
47
Which of the following is true about the relationship between the acute angle and the reflex angle that make up the same angle?
48
Which tools are generally used for constructing a triangle given the length of three sides?
49
When constructing a geometrical shape, to what accuracy should angles between the lines be measured?
50
What is the first step when you want to measure an angle with a protractor?
