Basic Math Quiz

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Questions and Answers

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

The total piston displacement of a specific engine is ______________.

The volume displaced by all the pistons during one revolution of the crankshaft.

Express 5/8 as a percent.

62.5 percent

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 Signup and view all the answers

Find the value of 10 raised to the negative sixth power.

0.000001 Signup and view all the answers

Which decimal is most nearly equal to a bend radius of 31/64?

0.4844 Signup and view all the answers

Find the square root of 3,722.1835

61.0097 Signup and view all the answers

Which results in the largest number?

4.631 × 10^5 Signup and view all the answers

Convert the binary number 00001111 to a whole number.

15 Signup and view all the answers

Solve the equation. (Square root) -4 + 6 + 10^3 / 1296 =

-36,002 Signup and view all the answers

Which alternative answer is equal to 16,300?

1.63 x 10 to the fourth power Signup and view all the answers

An airplane flying a distance of 750 miles used 60 gallons of gasoline. How many gallons will it need to travel 2,500 miles?

200 Signup and view all the answers

Select the container size that will be equal in volume to 60 gallons of fuel. (7.5 gal = 1 cu ft)

8.0 cubic feet Signup and view all the answers

What is defined as a group of bits representing a complete piece of information?

Byte Signup and view all the answers

Convert the binary number 1111 to decimal form.

15 Signup and view all the answers

How much current does a 30-volt, 1/2 horsepower motor that is 85 percent efficient draw from the bus? (Note: 1 horsepower = 746 watts)

14.6 amperes Signup and view all the answers

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 total piston displacement of ______________.

259.77 cubic inches Signup and view all the answers

What is the surface area of a cube where a side (edge) measures 7.25 inches?

315.375 sq. in. Signup and view all the answers

Solve the Equation: (-3+2)(-12-4) +(-4+6) x 3 =

22 Signup and view all the answers

Solve the equation. -6 [-9 (-8 + 4) - 2 (7 + 3)] =

-96 Signup and view all the answers

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 Signup and view all the answers

If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm?

3,023 Signup and view all the answers

Solve the equation. 4 - 31-6(2 + 3) + 41 =

82 Signup and view all the answers

What is the square root of 4 raised to the fifth power?

32 Signup and view all the answers

The parts department's profit is 12 percent on a new part. How much does the part cost if the selling price is $145.60?

$130.00 Signup and view all the answers

What is the ratio of 10 feet to 30 inches?

4:1 Signup and view all the answers

What force is exerted on the piston in a hydraulic cylinder if the area of the piston is 1.2 square inches and the fluid pressure is 850 PSI?

1,020 pounds Signup and view all the answers

Which of the following is the square root of (-1776)/(-2) - 632?

16 Signup and view all the answers

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 Signup and view all the answers

Maximum life for a certain part is 1100 hours. Recently, 15 of these parts were removed from different aircraft with an average life of 835.3 hours. What percent of the maximum part life has been achieved?

75.9 percent Signup and view all the answers

An engine of 98 horsepower maximum is running at 75 percent power. What is the horsepower being developed?

73.50 Signup and view all the answers

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 cuft)

75 Signup and view all the answers

The result of 7 raised to the third power plus the square root of 39 is equal to _______________.

349.24 Signup and view all the answers

A blueprint shows a hole of 0.17187 to be drilled. Which fraction size drill bit is most nearly equal?

11/64 Signup and view all the answers

What is the ratio of a gasoline fuel load of 200 gallons to one of 1,680 pounds?

5:7 Signup and view all the answers

What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?

1:1.8 Signup and view all the answers

Find the square root of 124.9924

1,118 x 10 to the negative second power Signup and view all the answers

Solve the equation. (32 × 3/8) ÷ 1/6 =

72 Signup and view all the answers

Solve the equation. 1/2 (-30 + 34) 5 =

10 Signup and view all the answers

What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning 420 RPM?

140 RPM Signup and view all the answers

Convert 7 to binary form.

0111 Signup and view all the answers

The number 3.47 x 10 to the negative fourth power is equal to ______________.

.000347 Signup and view all the answers

Which of the figures is using scientific notation?

3.47 × 10^4 = 34,700 Signup and view all the answers

What power of 10 is equal to 1,000,000,000?

10 to the ninth power Signup and view all the answers

Select the fractional equivalent for a 0.0625 inch thick sheet of aluminum.

1/16 Signup and view all the answers

Find the cube of 64.

262,144 Signup and view all the answers

What size of sheet metal is required to fabricate a cylinder 20 inches long and 8 inches in diameter? (Note: C= pi x D)

20 inches x 25-9/64 inches Signup and view all the answers

A rectangular-shaped fuel tank measures 60 inches in length, 30 inches in width, and 12 inches in depth. How many cubic feet are within the tank?

12.5 Signup and view all the answers

The radius of a piece of round stock is 7/32. Select the decimal which is most nearly equal to the diameter.

0.4375 Signup and view all the answers

Select the decimal which is most nearly equal to 77/64.

1.2031 Signup and view all the answers

An engine develops 108 horsepower at 87 percent power. What horsepower would be developed at 65 percent power?

81 Signup and view all the answers

If the volume of a cylinder with the piston at the bottom center is 84 cubic inches and the piston displacement is 70 cubic inches, then the compression ratio is ______________.

6:1 Signup and view all the answers

A rectangular shaped fuel tank measures 27-1/2 inches in length, 3/4 foot in width, and 8-1/4 inches in depth. How many gallons will the tank contain? (231 cu in = 1 gal)

8.83 Signup and view all the answers

Solve the equation. (/100 + /36 - J16) =

12 Signup and view all the answers

If it is necessary to accurately measure the diameter of a hole approximately 1/4 inch in diameter, the mechanic should use a _____________.

Small-hole gauge and determine the size of the hole by taking a micrometer reading of the ball end of the gauge. Signup and view all the answers

The reheating of heat-treated metal, such as with a welding torch, can ___________.

significantly alter a metal's properties in the reheated area. Signup and view all the answers

Why should an aircraft maintenance technician be familiar with weld nomenclature?

In order to gain familiarity with the welding technique, filler material, and temperature range used. Signup and view all the answers

A bolt with an X inside a triangle on the head is classified as an ______________.

NAS close tolerance bolt Signup and view all the answers

If dye penetrant inspection indications are not sharp and clear, the most probable cause is that the part ______________.

Was not thoroughly washed before the developer was applied. Signup and view all the answers

Where is an AN clevis bolt used in an airplane?

Only for shear load applications. Signup and view all the answers

Which type of crack can be detected by magnetic particle inspection using either circular or longitudinal magnetization?

45° Signup and view all the answers

In magnetic particle inspection, a flaw that is perpendicular to the magnetic field flux lines generally causes ______________.

A large disruption in the magnetic field. Signup and view all the answers

Which of the following defects are not acceptable for metal lines?

Seams Signup and view all the answers

The pattern for inclusion is a magnetic particle buildup forming ______________.

Parallel lines Signup and view all the answers

Which tool is used to find the center of a shaft or other cylindrical work?

COMBINATION SET Signup and view all the answers

What defects will be detected by magnetizing a part using continuous longitudinal magnetization with a cable?

Defects perpendicular to the long axis of the part. Signup and view all the answers

In the four-digit aluminum index system number 2024, the first digit indicates ______________ .

The major alloying element. Signup and view all the answers

Which of the following methods may be suitable to use to detect cracks open to the surface in aluminum forgings and castings?

Dye penetrant inspection, Magnetic particle inspection, Eddy current inspection, Ultrasonic inspection Signup and view all the answers

In performing a dye penetrant inspection, the developer _________.

Acts as a blotter to produce a visible indication. Signup and view all the answers

Which tool can be used to measure the alignment of a rotor shaft or the plane of rotation of a disk?

Dial indicator Signup and view all the answers

Under magnetic particle inspection, a part will be identified as having a fatigue crack under which condition?

The discontinuity is found in a highly stressed area of the part. Signup and view all the answers

Which of the following is a main determinant of the dwell time to use when conducting a dye or fluorescent penetrant inspection?

The size and shape of the discontinuities being looked for. Signup and view all the answers

Holes and a few projecting globules are found in a weld. What action should be taken?

Remove all the old weld, and reweld the O joint. Signup and view all the answers

How is the locking feature of the fiber-type locknut obtained?

By the use of an unthreaded fiber locking insert. Signup and view all the answers

Self-locking nuts may be used on aircraft provided that ______________ .

The bolt or nut are not subject to rotation. Signup and view all the answers

What is generally used in the construction of aircraft exhaust collectors, stacks, and manifolds?

Stainless steel Signup and view all the answers

Study Notes

Basic Math

A four-cylinder aircraft engine with a bore of 3.78 inches and a depth of 8.5 inches has a piston displacement of approximately 200 cubic inches.
The total piston displacement of an engine is the volume displaced by all the pistons during one crankshaft revolution.
5/8 expressed as a percentage is 62.5%.
A rectangular fuel tank with dimensions of 37.5 inches in length, 14 inches in width, and 8.25 inches in depth holds 4,331.25 cubic inches.
10 raised to the negative sixth power is 0.000001.
A bend radius of 31/64 is most nearly equal to 0.4844.
The square root of 3,722.1835 is approximately 61.0097.
4.631 × 10⁵ is the largest number.
The binary number 00001111 in decimal form is 15.
7/8 expressed as a percentage is 87.5%.

Additional Math Problems

The square root of (-3+2)(-12-4) + (-4+6) x 3 is equal to 22.
-6 [-9 (-8 + 4) - 2 (7 + 3)] equals -96.
A pinion gear with 14 teeth driving a spur gear with 42 teeth at 140 RPM results in a pinion gear speed of 420 RPM.
The maximum rpm of an engine operating at 65 percent power, turning 1,965 rpm, is 3,023 rpm.
4 - 31 - 6 (2 + 3) + 41 equals 82.
The square root of 4 raised to the fifth power is 32.
A part's selling price of 145.60witha12145.60 with a 12% profit margin costs 145.60witha12130.00.
The ratio of 10 feet to 30 inches is 4:1.
Force exerted on a 1.2 square inch piston with 850 PSI fluid pressure is 1,020 pounds.
The square root of (-1776)/(-2) - 632 = 16.
A cylinder with a 1.5-inch diameter bore and a 4-inch stroke requires 7.0686 cubic inches of piston displacement.
An engine with 98 horsepower maximum at 75 percent power develops 73.5 horsepower.
A rectangular tank with dimensions of 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth holds 75 gallons of fuel.
7 raised to the third power plus the square root of 39 equals 349.24..
The blueprint hole of 0.17187 is most nearly equal to 11/64 size.
The ratio of a 200 gallon gasoline fuel load to a 1,680 pound fuel load is 5/7
The speed ratio of a 36-tooth input gear meshed with a 20-tooth gear is 1 to 1.8.
The surface area of a cube with a side measuring 7.25 inches is 315.375 square inches.
The square root of 124.9924 is 1,118 x 10⁻²
(32 × 3/8) ÷ 1/6 equals 72.

Parts and Procedure

A mechanic using a small-hole gauge and micrometer can accurately measure a hole approximately 1/4 inch in diameter.
Reheating heat-treated metal, such as with a welding torch, can change metal properties in the heated area.
Weld nomenclature is important for aircraft technicians to know filler materials and temperature ranges.
A bolt with "X" inside a triangle on its head is a NAS close tolerance bolt.
Properly washing a part before applying a developer for dye penetrant inspection is important.
AN clevis bolts are used in aircraft for shear load applications only.
Aircraft exhaust collectors and other similar parts are typically constructed from stainless steel.
A discontinuity in material is a defect in non-destructive testing.
Magnetic particle inspection is used to detect surface and near-surface defects on metals and alloys, as well as for identifying heat-treatment conditions.
A dye penetrant inspection developer acts as a blotter for visible indications.

Physics Fundamental

If the volume of a confined gas doubles without adding more gas, the pressure halves, assuming constant temperature.
A wing with a high aspect ratio has a lower stall speed than one with a low aspect ratio.
Winglets on aircraft wingtips are designed to increase the lift-to-drag ratio.
Heat transfer methods include conduction, convection, and radiation, but diffusion is not a method of heat transfer.
Helicopter rotor systems are classified into main rotor, tail rotor, and auxiliary rotor systems.
The total work input to move a hoist loaded with 70 pounds of force and 12 feet of movement is 840 foot-pounds.
The rate of flow of a liquid through a metering orifice is greatest when the unmetered pressure is high, while the metered pressure is low.
If part of a stall strip of an aircraft wing is missing, it may result in asymmetrical lateral control near stall angles of attack.
A double-acting actuating cylinder with a 3 square inch piston on one side and a one square inch rod on the other side, under 3000psi, can produce a 6000-pound force when retracting.
Temperature is a measure of the kinetic energy of molecules.
A volume of 35 parts of dry air and 65 parts of water vapor weighs the least.
The pressure of a confined gas is unchanged if both the volume and absolute temperature are doubled.

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Test your knowledge with this Basic Math Quiz. The questions cover various mathematical concepts including volume, percentages, square roots, and more. Perfect for anyone looking to refresh their basic math skills.