TOTAL = ______ = ______
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MATHEMATICS 306/326
CHAPTER 5: SOLIDS
PRE-TEST (V4)
Name: _________________________
Each question is worth 5 marks.
For questions 1 to 9, circle the correct answer.
1
Group: _______
Which of the following views represents the solid below?
RIGHT
FRONT
ACE
A)
Front view
C)
Left-side view
B)
Right-side view
D)
Top view
2
In art class, Mohammed drew his house, as shown in the
adjacent diagram.
His teacher requested that he draw the RIGHT view of his
house.
FRONT
Which of the following drawings should Mohammed have drawn?
A)
C)
B)
D)
3
The solid shown on the right is made of identical cubes
arranged in three layers.
Right
Front
Which of the following describes this solid?
4
A)
The front view shows 6 squares.
The top view shows 5 squares.
The bottom layer has 6 cubes.
C)
The top view shows 6 squares.
The bottom layer has 6 cubes.
The top layer has 1 cube.
B)
The right view shows 5 squares.
The top view shows 5 squares.
The bottom layer has 5 cubes.
D)
The right view shows 6 squares.
The front view shows 5 squares.
The middle layer has 2 cubes.
What solid has the following characteristics?
• I have 5 faces.
• I have 6 vertices.
• None of my lateral faces are parallel.
5
A)
Triangular prism
C)
Pentagonal pyramid
B)
Triangular pyramid
D)
Pentagonal prism
Which one of the following statements is FALSE?
A)
A cylinder is generated by rotating a rectangle through an angle of 360 about one of its sides.
B)
A cone is generated by rotating a semi-circle through an angle of 360 about its diameter.
C)
I am created by translating a square through a distance equal to the length of one of its sides in a plane
that is perpendicular to the plane containing the square. I am called a "cube".
D)
I am formed by translating a triangle and I am called a "triangular prism".
6
Three different views of the same solid are shown below.
Above
Right
Front
To which of the following solids do these three views apply?
A)
C)
B)
D)
7
8
Which of the following describes the solid generated by rotating the given pentagon 360 about its axis of symmetry?
A)
A pyramid on top of a cylinder
B)
A pyramid on top of a prism
C)
A cone on top of a cylinder
D)
A cone of top of a prism
The figure shown rotates 360 about the given axis.
What solid is obtained by rotating this figure?
9
A)
A rectangular prism topped by a cone
B)
A rectangular prism topped by a pyramid
C)
A cylinder topped by a cone
D)
A cylinder topped by a pyramid
A child pushes a hexagonal flat tray down into the snow in a direction perpendicular to the ground.
What solid is represented by the empty space in the snow resulting from this translation?
A)
Right hexagonal pyramid
C)
Hexagonal Cone
B)
Right hexagonal prism
D)
Hexagon
For questions 10 to 13, write your answer in the space provided.
10
Draw the right view of the solid below.
FRONT
11
RIGHT
Given the stack of blocks on the right.
Right
Draw the top, the front, and the right view of this stack of
cubes.
Front
Top
Front
Right
12
Construct the solid generated under translation t of polygon ABCDE. Draw the edges of the solid either in a continuous
line or a dotted line.
B
C
t
D
A
13
E
Consider the figure shown.
Draw the front view and the view from the right.
Right
Front
Front view
Right view
For questions 14 to 16, you MUST SHOW ALL YOUR WORK (ALL CONSTRUCTION LINES).
14
Draw the net of the rectangular base prism at right, using the
given dimensions.
1 cm
2 cm
4 cm
15
Draw a cube with 2 cm edges in oblique perspective.
16
The circular sector of a cone’s net has a radius of 12 cm. If the radius of the cone is 4 cm, what is the angle of this sector?
Show all your work.
Answer:
The angle of the sector is __________ degrees.