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Mathematics for IGCSE & O level - Geometrical Constructions (Section 3)

1
If the side lengths of the triangle are 5cm, 4cm, and 3cm, is it possible to create more than one triangle?
Answer
(C)
No, you can only make one.
2
In order to determine if an arrangement is the net of a cuboid, what needs to be assessed?
Answer
A
B
C
3
Which of the following is a key advantage of drawing a sketch before beginning a geometric construction?
Answer
(C)
It clarifies the desired shape and dimensions
4
Which 2-D shape can make a cube?
Answer
(A)
A square
5
For a cuboid, how many edges does it have?
Answer
(D)
12
6
What is the number of vertices on a triangular prism?
Answer
(C)
6
7
Which of the following is essential when using a protractor?
Answer
A
B
C
8
What type of angle is formed by a straight line?
Answer
(D)
Straight
9
How can you estimate the volume of a cuboid if you have its net drawn on a square grid?
Answer
(B)
Multiply the number of squares along the length, width, and height.
10
What is the sum of the interior angles of a triangle?
Answer
(B)
180°
11
In the context of measuring angles, a common error is:
Answer
(A)
Using the wrong scale on the protractor.
12
A triangle has angles of 60°, 60°, and 60°. What type of triangle is it?
Answer
(C)
Equilateral
13
Which 3D shapes can be made from nets?
Answer
A
B
C
14
If you are asked to construct a triangle with sides of 5cm, 4cm and 3cm, how many triangles can you make?
Answer
(B)
One
15
When constructing a triangle, what is the advantage of sketching the triangle first?
Answer
(C)
It helps to understand the dimensions.
16
What is the relationship between the acute angle and the reflex angle?
Answer
(C)
They add up to 360°.
17
What information is needed to find the volume of a cuboid using its net?
Answer
(A)
The length, width, and height.
18
Which of the following is a key element when constructing a triangle given three sides using a compass?
Answer
(A)
Using a ruler for all lines.
19
What is the minimum number of rectangles that make up a cuboid?
Answer
(D)
6
20
Which of these shapes can you form using a net?
Answer
B
C
21
What is the key requirement for an angle to be classified as a reflex angle?
Answer
(C)
It must be between 180° and 360°.
22
What information is needed to find the area of the net, if a 3-D shape net is drawn on a one-centimeter square grid?
Answer
A
D
23
How does a semi-circular protractor differ from a full-circle protractor?
Answer
(D)
All of the above.
24
What is the purpose of a sketch when constructing a geometric figure?
Answer
(C)
To plan and visualize the construction.
25
Which angles are found in a triangle?
Answer
A
B
D
26
Which of the following is a key step when measuring an angle with a protractor?
Answer
A
B
D
27
What is needed to construct a triangle?
Answer
A
B
D
28
How many faces does a cube have?
Answer
(C)
6
29
If you are unsure whether a net is correct, what is suggested?
Answer
(B)
Cut it out and try folding it.
30
Which of the following statements is/are true about nets?
Answer
A
B
C
31
Which shape has six faces that are all squares?
Answer
(B)
Cube
32
In a net, how many faces would form a triangular prism?
Answer
(C)
5