FGCU STEM
HS Engineering Individual
2015
Directions: For this test, note that 𝑖 = √−1. For all questions, NOTA represents none of the above
answers is correct.
1)
2)
3)
4)
A full-size physical model that is functional and can be tested is called a
a)
concept model.
b)
scale model.
c)
mock up.
d)
prototype.
e)
NOTA
The permissible amount by which a dimension of a manufactured item is allowed to deviate
from a specified value is the
a)
tolerance range.
b)
dual dimension.
c)
fluctuation.
d)
acceptability.
e)
NOTA
What principle of design is considered when sketching a bicycle tire in relationship to the size of
its frame?
a)
Repetition
b)
Proportion
c)
Unity
d)
Subordination
e)
NOTA
What is the first step in an engineering design process?
a)
Identify criteria and constraints
b)
Model and/or prototype
c)
Identify the problem
d)
Research and investigate
e)
NOTA
Page 1 of 8
FGCU STEM
5)
6)
7)
8)
HS Engineering Individual
2015
The heat transfer during an adiabatic process is
a)
reversible
b)
irreversible
c)
dependent on temperature
d)
zero
e)
NOTA
In a spreadsheet, the number in Cell A4 is set to 6. Then A5 is set to A4+$A$4. This formula is
copied into Cells A6 and A7. The number shown in Cell A7 is
a)
12
b)
24
c)
36
d)
216
e)
NOTA
What is the volume in liters of a cube 25 cm high?
a)
0.025 L
b)
0.625 L
c)
625 L
d)
2500 L
e)
NOTA
A company can manufacture a product using hand tools. Costs will be $1,000 for tools and a
$1.50 manufacturing cost per unit. As an alternative, and automated system will cost $15,000
with a $0.50 cost per unit. With an anticipated annual volume of 5,000 units and neglecting
interest, the breakeven point (in years) is most nearly:
a)
15.0
b)
3.6
c)
2.8
d)
1.4
e)
NOTA
Page 2 of 8
FGCU STEM
9)
HS Engineering Individual
2015
Consider the following program segment:
INPUT Z, N
S=1
T=1
FOR K = 1 TO N
T = T*Z/K
S=S+T
NEXT K
This segment calculates the sum:
10)
11)
a)
𝑆 = 1 + 𝑍𝑇 + 2 𝑍𝑇 + 3 𝑍𝑇 + ⋯ + 𝑁 𝑍𝑇
b)
𝑆 = 1 + 𝑍𝑇 + 2 𝑍𝑇 + 3 𝑍𝑇 + ⋯ + (𝑁) 𝑍𝑇
c)
𝑆 =1+1+
d)
𝑆 = 1 + 1! +
e)
NOTA
1
1
1
𝑍
2𝑍
2
+
3𝑍
3
+ ⋯+ ( 𝑁 )
𝑁𝑍
𝑍
𝑍2
2!
+
𝑍3
3!
+ ⋯+ ( 𝑁 )
𝑍𝑁
Glass is said to be an amorphous material. This means that it
a)
has a high melting point .
b)
is a supercooled vapor.
c)
has no apparent crystal structure.
d)
has large cubic crystals.
e)
never
A line touching an arc or circle at one point, and is perpendicular to the circle’s radius at that
point, is said to be
a)
parallel.
b)
coincident.
c)
tangent.
d)
concentric.
e)
NOTA
Page 3 of 8
FGCU STEM
12)
13)
14)
HS Engineering Individual
Three lines are defined by the three equations
𝑥+𝑦 =0
𝑥−𝑦 =0
2𝑥 + 𝑦 = 1
The three lines form a triangle with vertices at
a)
(0, 0), (1/3, 1/3), (1, -1)
b)
(0, 0), (2/3, 2/3), (-1, -1)
c)
(1, 1), (1, -1), (2, 1)
d)
(1, 1), (3, -3), (-2, -1)
e)
NOTA
The term
(1−𝑖)2
1+𝑖 2
a)
−1
b)
−1 + 𝑖
c)
0
d)
1+𝑖
e)
NOTA
is equivalent to
A sample of resistor values indicates an equal probability distribution as follows:
The probability that R is greater than 105 is
a)
35%
b)
30%
c)
25%
d)
20%
e)
NOTA
Page 4 of 8
2015
FGCU STEM
15)
16)
17)
18)
HS Engineering Individual
2015
A town was devastated by a hurricane. The fresh water was contaminated when the storm
surge washed over the island, inundating the wells. Several tanks of fresh water were delivered
to the village, each containing 105 dekaliters of water. On a given day, one person needs an
average of 2.5 liters of water. How many people will a tank supply in one day?
a)
4
b)
420
c)
824
d)
2625
e)
NOTA
In general, a metal with high hardness will also have
a)
good formability
b)
high impact strength
c)
high electrical conductivity
d)
high yield strength
e)
NOTA
An insulated tank contains half liquid and half vapor by volume in equilibrium. The release of a
small quantity of the vapor without the addition of heat will cause
a)
evaporation of some liquid in the tank
b)
superheating of the vapor in the tank
c)
a rise in the temperature
d)
An increase in enthalpy
e)
NOTA
Which of the following is not true for a series electrical circuit:
a)
The current is the same for every component.
b)
The total voltage is equal to the sum of the individual voltage drops of each component.
c)
The total resistance is less than any of the individual resistances.
d)
Both a) and b).
e)
NOTA
Page 5 of 8
FGCU STEM
19)
20)
HS Engineering Individual
2015
A 1.5MB video is to be downloaded from the internet. The connection has a download rate of
30KB/sec download rate. How long will the download take?
a)
5 seconds
b)
20 seconds
c)
35 seconds
d)
50 seconds
e)
NOTA
Find the sum of the coefficients needed to balance the reaction below:
___SO2 + ___O2 → ___SO3
21)
22)
a)
9
b)
7
c)
5
d)
3
e)
NOTA
The chemical composition of algae has been written as C106 H263 O116 N16 P. Atomic weights are
as follows: C = 12, H = 1, N = 14, O = 16, P = 31. According to this formula, find the percent of
weight of nitrogen in algae to the nearest tenth of a percent.
a)
1.6%
b)
6.3%
c)
7.4%
d)
12.6%
e)
NOTA
The centroid (center of gravity) of an object is
a)
a 3D point defining the geometric center of the solid.
b)
the amount of 3D space taken up by the object.
c)
the amount of matter in the object.
d)
a measure of resistance of the object to angular rotation.
e)
NOTA
Page 6 of 8
FGCU STEM
23)
24)
25)
26)
HS Engineering Individual
2015
The Development and Implementation phase of the engineering design process can be
described as follows:
a)
Reassess design specifications. Implement any modifications necessary and update
drawings.
b)
Detailed documentation of final design is created, along with a prototype. Testing and
analysis is completed.
c)
Workable solutions are identified, and detailed, annotated sketches are developed.
Possible solutions are analyzed.
d)
Brainstorming occurs and ideas are collected, often in graph form. Thumbnail sketches are
drawn. Research is completed.
e)
NOTA
What is the best reason that accounts for longer flight distance of a dimpled golf ball compared
to that of a smooth golf ball?
a)
The shearing stress is smaller on the dimpled ball.
b)
The dimpled ball has an effective smaller diameter.
c)
The pressure on the front of the dimpled ball is smaller.
d)
The separated region on the dimpled ball is smaller.
e)
NOTA
Electromotive force is also known as
a)
current.
b)
RPMs.
c)
resistance.
d)
voltage.
e)
NOTA
Oil is used in industrial hydraulic systems because
a)
it keeps the system cool.
b)
it does not compress.
c)
it can be vented to the atmosphere.
d)
it is environmentally safe.
e)
NOTA
Page 7 of 8
FGCU STEM
27)
28)
HS Engineering Individual
2015
Dynamics is the branch of mechanics
a)
concerned with the motion of bodies under the action of forces.
b)
concerned with bodies at rest and forces in equilibrium.
c)
concerned with the motion of objects without concern for the forces that cause the
motion.
d)
concerned with how forces act on mechanisms.
e)
NOTA
Consider the three vectors
A = 5i – 3j + 6k
B = -i + 2j + 2k
C = 2i + 3j - 4k
The product (AB)C is
29)
30)
a)
10i + 18j – 48k
b)
6i + 2j +4k
c)
2i + 3j - 4k
d)
not possible.
e)
NOTA
𝑎2 + 𝑏 2 = 𝑐 2 is an example of
a)
computer modeling.
b)
graphical modeling
c)
mathematical modeling.
d)
conceptual modeling.
e)
NOTA
The production process when products and materials arrive at the manufacturing facility and
are used right away without the need for long warehousing time is known as
a)
Concurrent Engineering
b)
Just in Time
c)
Total Quality Management
d)
Reverse Engineering
e)
NOTA
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