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