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