ACE 2026/2027 NEIEP 300 FINAL EXAM: COMPREHENSIVE
QUESTIONS AND ANSWERS GRADED A+
⩥ The cost of the bolts used to fasten the panels in an elevator cab is $5
for 4 bolts. If a particular job calls for 80 bolts, what is the cost?
Answer: $100
⩥ One amp is equal to 6,240,000,000,000,000,000 electrons per second.
Write this rate using scientific notation. Answer: 6.24 x 10 18th power
electrons per second
⩥ The plans for the installation of cab walls call for two different size
panels. The large panels require 12 bolts and the small panels require 8
bolts. If each car has 6 large panels and 4 small panels, how many bolts
will be needed? Answer: 104 bolts
⩥ A salesperson makes 22% commission on their total sales. If one
month, the salesperson sold a total of $45,000 in goods, what is their
commission? Answer: $9,900.00
⩥ Five different pipes have lengths 3 ¼ ft., 4 ⅝ ft., 2 ½ ft., 4 ¾ ft. and 2
5⁄16 ft. What is the total length of the pipes? Answer: 17 7⁄16 ft.
A 13 ft. I-beam needs to be cut into 4 equal pieces for blocking beams.
What should each beam measure? Answer: 3.25 ft.
,⩥
⩥ How many license plates are possible if each plate number is
comprised of two letters followed by three numbers, where repetition of
both numbers and letters is allowed?
hint -
26 letters in alphabet, so that means 26x26
Three numbers, 10 digits possible (0-9) 10x10x10 Answer: 676,000
⩥ Each outlet in an office building can handle 30 amps without being
overloaded. If the office building has 250 outlets, represent the total
amps in terms of kA. Answer: 7.5 kA
⩥ The hole for each bolt on a panel is 12500 μm in diameter. Express
this diameter in millimeters. Answer: 12.5 mm
⩥ For a series of tasks, the projected times for several projects are the
following: 1 hour 45 minutes, 3 hours 20 minutes, 45 minutes, 2 hours
20 minutes, and 1 hour 40 minutes. What is the total time for these
projects? Answer: 9 hours 50 minutes
⩥ Convert 1.34 x 1013 μm to Mm. Answer: 13.4 Mm
A particular task is scheduled to take 4 hours 15 minutes. You and
your team finish the job in only 2 hours 34 minutes. How much time did
the team have to spare? Answer: 1 hour 41 minutes
,⩥
⩥ An 18 mm ball bearing weighs 23.79 grams. If we have a crate
containing 500 of these ball bearings, what is the weight in kilograms?
Answer: 11.895 kg
⩥ The resistance in a copper wire measuring 160 meters is found to be
3.5 Ω. Express the resistance per meter in terms of milli ohms. Answer:
21.875 milli ohms
⩥ Convert 4.12 x 10 -5 kg to μg. Answer: 4.12 x 10 4μg
⩥E=I×R
E = Voltage
I = Current
R = Resistance
The current flowing through a wire with resistance 120 Ω is measured to
be 0.02 A. Find the voltage. Answer: 2.4 V
⩥ Solve for x: 0.24x + 0.42 = 1.74 Answer: x = 5.50
Find the rate if we make a trip from Houston to Dallas (240 miles) in
6 hours Answer: 40 mph
, ⩥
⩥ The power consumed by a resistor is measured to be 12 W. If a battery
is connected in series with a resistance of 48 Ω, find the voltage of the
battery. Answer: 24 V
⩥ Solve for x: (x + 2)2 − 3 = 1 hint -
(x + 2)squared Answer: x = 0, −4
⩥ Solve for x: 2x + 4 = 11 Answer: x = 7/2
⩥ Rewrite the equation P = R × I2 to solve for current.
P = Power
R = Resistance
I = Current Answer: Ohms Law
I = square root of P/R
⩥ Solve for t: t/3 - 1/2 = 5/6 Answer: t = 4
⩥ A driver gear with 12 teeth revolves at a rate of 45 rpm. What is the
rate for a driven gear with 20 teeth? Answer: 27 rpm
If 6 inches corresponds to 15.24 centimeters, how many centimeters
are there in 14 inches? Answer: 35.56 cm
QUESTIONS AND ANSWERS GRADED A+
⩥ The cost of the bolts used to fasten the panels in an elevator cab is $5
for 4 bolts. If a particular job calls for 80 bolts, what is the cost?
Answer: $100
⩥ One amp is equal to 6,240,000,000,000,000,000 electrons per second.
Write this rate using scientific notation. Answer: 6.24 x 10 18th power
electrons per second
⩥ The plans for the installation of cab walls call for two different size
panels. The large panels require 12 bolts and the small panels require 8
bolts. If each car has 6 large panels and 4 small panels, how many bolts
will be needed? Answer: 104 bolts
⩥ A salesperson makes 22% commission on their total sales. If one
month, the salesperson sold a total of $45,000 in goods, what is their
commission? Answer: $9,900.00
⩥ Five different pipes have lengths 3 ¼ ft., 4 ⅝ ft., 2 ½ ft., 4 ¾ ft. and 2
5⁄16 ft. What is the total length of the pipes? Answer: 17 7⁄16 ft.
A 13 ft. I-beam needs to be cut into 4 equal pieces for blocking beams.
What should each beam measure? Answer: 3.25 ft.
,⩥
⩥ How many license plates are possible if each plate number is
comprised of two letters followed by three numbers, where repetition of
both numbers and letters is allowed?
hint -
26 letters in alphabet, so that means 26x26
Three numbers, 10 digits possible (0-9) 10x10x10 Answer: 676,000
⩥ Each outlet in an office building can handle 30 amps without being
overloaded. If the office building has 250 outlets, represent the total
amps in terms of kA. Answer: 7.5 kA
⩥ The hole for each bolt on a panel is 12500 μm in diameter. Express
this diameter in millimeters. Answer: 12.5 mm
⩥ For a series of tasks, the projected times for several projects are the
following: 1 hour 45 minutes, 3 hours 20 minutes, 45 minutes, 2 hours
20 minutes, and 1 hour 40 minutes. What is the total time for these
projects? Answer: 9 hours 50 minutes
⩥ Convert 1.34 x 1013 μm to Mm. Answer: 13.4 Mm
A particular task is scheduled to take 4 hours 15 minutes. You and
your team finish the job in only 2 hours 34 minutes. How much time did
the team have to spare? Answer: 1 hour 41 minutes
,⩥
⩥ An 18 mm ball bearing weighs 23.79 grams. If we have a crate
containing 500 of these ball bearings, what is the weight in kilograms?
Answer: 11.895 kg
⩥ The resistance in a copper wire measuring 160 meters is found to be
3.5 Ω. Express the resistance per meter in terms of milli ohms. Answer:
21.875 milli ohms
⩥ Convert 4.12 x 10 -5 kg to μg. Answer: 4.12 x 10 4μg
⩥E=I×R
E = Voltage
I = Current
R = Resistance
The current flowing through a wire with resistance 120 Ω is measured to
be 0.02 A. Find the voltage. Answer: 2.4 V
⩥ Solve for x: 0.24x + 0.42 = 1.74 Answer: x = 5.50
Find the rate if we make a trip from Houston to Dallas (240 miles) in
6 hours Answer: 40 mph
, ⩥
⩥ The power consumed by a resistor is measured to be 12 W. If a battery
is connected in series with a resistance of 48 Ω, find the voltage of the
battery. Answer: 24 V
⩥ Solve for x: (x + 2)2 − 3 = 1 hint -
(x + 2)squared Answer: x = 0, −4
⩥ Solve for x: 2x + 4 = 11 Answer: x = 7/2
⩥ Rewrite the equation P = R × I2 to solve for current.
P = Power
R = Resistance
I = Current Answer: Ohms Law
I = square root of P/R
⩥ Solve for t: t/3 - 1/2 = 5/6 Answer: t = 4
⩥ A driver gear with 12 teeth revolves at a rate of 45 rpm. What is the
rate for a driven gear with 20 teeth? Answer: 27 rpm
If 6 inches corresponds to 15.24 centimeters, how many centimeters
are there in 14 inches? Answer: 35.56 cm
