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What is √ 𝟏𝟒𝟒?
12
Solve the equation. (64 x 3/8) ÷ 3/4 =
32
PEMDAS
An airplane flying a distance of 875 miles used 70 gallons of gasoline. How many gallons will it need to travel 3,000 miles?
240
Rationale: If the airplane uses 70 gallons of gasoline while flying 875 miles, it is getting 875 ÷ 70 or 12.5 miles per gallon of fuel burned. At this rate of fuel consumption, it will require 3,000 ÷ 12.5 = 240 gallons of fuel to fly 3,000 miles
How far can an airplane glide from an altitude of 8,000 feet if it has a glide ratio of 8?
64,000 feet
What is 10 to the 4th power
10,000
You are replacing a piece of sheet metal in the shape of a right triangle. If the two shorter sides are 6 inches and 10 inches, what is the length of the longest side?
11.7 inches
Pythagorean Theorem, A² + B² = C²
The gear ratio is 3 to 1. What does this indicate about the movement of the pinion gear?
The pinion gear rotates 3 times for every 1 rotation of the spur gear.
Rationale: In a 3 to 1 gear ratio, the pinion gear completes three rotations for every one rotation of the spur gear
A rectangular-shaped fuel tank measures 37-1/2 inches in length, 14 inches in width, and 8-1/4 inches in depth. How many cubic inches are within the tank?
4,331.25
V = L x W x D
Solve the equation. -6[-9(-8 + 4) - 2(7 + 3)] =
-96
An engine of 98 horsepower maximum is running at 75 percent power. What is the horsepower being developed?
73.50
98 x 0.75 = 73.50
What is the numerical equivalent of the binary number 1011?
11
You are preparing to load a cargo container that is 4 feet long, 2 feet wide, and 3 feet high. The aircraft's cargo bay has a volume limit of 30 cubic feet. What is the volume of the container and will you have enough space?
Yes Container is 24 cu ft.
Sixty-five engines are what percent of 80 engines?
81 percent
To find the percentage of engines represented by 65 out of 80, we find the ratio of 65 to 80 by dividing 65 by 80. 65 ÷ 80 = 0.8125 Then we change this decimal fraction into a percentage by multiplying it by 100. Sixty-five engines is 81.25 percent of 80 engines.
You are preparing a fuel load plan for an aircraft with a scheduled layover. The aircraft burns fuel at a constant rate of 900 gallons per hour. The first leg of the flight is 3 hours, followed by a 1.5-hour final leg. To avoid refueling during the layover, how much fuel should be loaded before departure?
4,050 gallons
How many gallons of fuel will be contained in a rectangular-shaped tank which measures 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth? (7.5 gal = 1 cu in)
75
V = L x W x D
Aspect ratio of a wing is defined as the ratio of the:
Wing span to wing chord
What is the standard form of the number 7.1543 × 10⁻⁸?
0.000000071543
When multiplying a number by 10⁻⁸, you move the decimal point 8 places to the left. Starting from 7.1543 and shifting the decimal left 8 places gives 0.00000071543.
You are tightening a wheel nut using a torque wrench that reads in inch-pounds. The maintenance manual specifies 100 foot-pounds, but the wrench is mistakenly set to 100 inch-pounds without converting. What will this error most likely cause?
Under torque of the nut
What is the percentage form of the fraction 𝟑/𝟓 ?
60%
A pinion gear with 14 teeth is driving a spur gear with 42 teeth at 140 RPM. Determine the speed of the pinion gear.
420 RPM
What is the piston displacement of a master cylinder with a 1.5-inch diameter bore and a piston stroke of 4 inches?
7.0686 cubic inches
If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm?
3,023 RPM
If 1,965 RPM represents 65% of the engine’s maximum speed, the full RPM can be found by dividing 1,965 by 0.65. This calculation results in 3,023 RPM. Both the algebraic and proportion methods confirm this value
A six-cylinder engine with a bore of 3.5 inches, a cylinder height of 7 inches and a stroke of 4.5 inches will have a total piston displacement of:
259.77 cubic inches
If I have a hydraulic cylinder that is 20in in length and has a bore radius of 10in what is the volume of the cylinder
6280 cu in.
A four-cylinder aircraft engine has a cylinder bore of 3.78 inches and is 8.5 inches deep. With the piston on bottom center, the top of the piston measures 4.0 inches from the bottom of the cylinder. What is the approximate piston displacement of this engine?
200 cubic inches