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WorksheetsMath & Physics Study Guide
Total questions: 108
Worksheet time: 54mins
What power of 10 is equal to 1,000,000,000
A- 10 to the sixth power
B- 10 to the tenth power
C- 10 to the ninth power
Find the square root of 1,746.
A 41.7852
B-41.7752
C- 40.7742
3- (Refer to Figure 52.) Solve the equation.
A- 115
B- 4.472
C- 5
Find the square root of 3,722.1835
A- 61.00971
B- 61.00
C- 61.0097
5- Which of the following is the square root of (-1776)/(-2) - 632
A- 128
B-256
C- 16
6- (Refer to Figure 69.) Solve the equation
A- 12
B- 60
C- 76
7- Find the cube of 64
A- 4
B- 192
C- 262,144
8- Find the value of 10 raised to the negative sixth power
A 0.000001
B- 0.000010
C-0.0001.
9- What is the square root of 4 raised to the fifth power?
A- 32
B- 64
C- 20
10- The number 3.47 x 10 to the negative fourth power is equal to
A-.00347.
B- 34,700.
C-.000347.
11- Which alternative answer is equal to 16,300?
A- 1.63 x 10 to the fourth power.
B- 1.63 x 10 to the negative third power.
C- 163 x 10 to the negative second power.
12- Find the square root of 124.9924.
A- 111.8 x 10 to the third power.
B- .1118 x 10 to the negative second power.
C- 1,118 x 10 to the negative second power.
13- What is the square root of 16 raised to the fourth power?
A- 1,024
B- 4,096
C- 256
14- (Refer to Figure 53.) Solve the equation.
A- .0297
B- .1680
C- .0419
15- The result of 7 raised to the third power plus the square root of 39 is equal to
A- 349.24.
B- .34924.
C- 343.24.
16- Find the square root of 1,824.
A- 42.708 x 10 to the negative second power
B- 42708
C- .42708 × 10 to the second power
17- (Refer to Figure 65.) Which of the figures is using scientific notation?
A- 1
B- 2
C- both 1 and 2.
18- (Refer to Figure 70.) Which alternative answer is equal to 5.59?
A- 1
B- 2
C- 3
19- The total piston displacement of a specific engine is
A- dependent on the compression ratio.
B- the volume displaced by all the pistons during one revolution of the crankshaft.
C- the total volume of all the cylinders
20- What is the surface area of a cube where a side (edge) measures 7.25 inches?
A- 381.078 cu. in.
B- 315.375 sq. in.
C- 52.5625 sq. in.
21- (Refer to Figure 54.) Compute the area of the trapezoid.
A- 52.5 square feet.
B- 60 square feet.
C- 76.5 square feet.
22- (Refer to Figure 71.) What is the volume of a sphere with a radius of 4.5 inches?
A- 47.71 cubic inches.
B- 381.7 square inches.
C- 381.7 cubic inches.
23- What size sheet of metal is required to fabricate a cylinder 20 inches long and 8
inches in diameter?
(Note: C = pix D)
A- 20 inches x 25-5/32 inches.
B- 20 inches x 24-9/64 inches.
C- 20 inches x25-9/64 inches.
24- (Refer to Figure 55.) Find the area of the triangle shown.
A- 12 square inches.
B- 6 square inches.
C- 15 square inches.
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?
A- 1,020 pounds.
B- 960 pounds.
C- 850 pounds.
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?
A- 12.5
B- 15.0
C- 21.0
27- Select the container size that will be equal in volume to 60 gallons of fuel. (7.5
gal = 1 cu ft)
A- 7.5 Cubic feet
B- 8.0 Cubic feet
C- 8.5 Cubic feet
28- (Refer to Figure 56.) Compute the area of the trapezoid.
A- 24 square feet.
B- 48 square feet.
C- 10 square feet.
29- (Refer to Figure 57.) Determine the area of the triangle formed by points A, B,
and C. Ato B = 7.5 inches
Ato D = 16.8 inches
A- 42 square inches.
B- 63 square inches.
C- 126 square inches.
30- What is the piston displacement of a master cylinder with a 1.5-inch diameter
bore and a piston stroke of 4 inches?
A- 9.4247 cubic inches.
B- 7.0686 cubic inches.
C- 6.1541 cubic inches.
31- 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 ft)
A- 66.6
B- 75
C- 45
32- 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)
A- 7.366.
B- 8.83
C- 170.156.
33- 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?
A- 200 cubic inches.
B- 360 cubic inches.
C- 235 cubic inches.
34- 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?
A- 59.75
B- 433.125.
C- 4,331.25.
35- 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
A- 256.88 cubic inches.
B- 259.77 cubic inches.
C- 43.3 cubic inches.
36- Select the fraction which is equal to 0.0250.
A- 1/4.
B- 1/40.
C- 1/400.
37-1.21875 is equal to
A- 83/64.
B- 19/16.
C- 39/32.
38- If the volume of a cylinder with the piston at bottom center is 84 cubic inches and
the piston displacement is 70 cubic inches, then the compression ratio is
A- 7:1
B- 1.2:1
C- 6:1
39- Express 7/8 as a percent.
A- 8.75 percent.
B- .875 percent.
C- 87.5 percent
40- What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14
teeth turning 420 RPM?
A- 588 RPM.
B- 160 RPM.
C- 140 RPM.
41- An engine develops 108 horsepower at 87 percent power. What horsepower
would be developed at 65 percent power?
A- 81
B- 70
C- 61
42- A certain aircraft bolt has an overall length of 1-1/2 inches, with a shank length of
1-3/16 inches, and a threaded portion length of 5/8 inch. What is the grip length?
A- .5625 inch.
B- .8750 inch.
C- .3125 inch.
43- Select the fractional equivalent for a 0.0625 inch thick sheet of aluminum
A-1/16.
B- 3/64.
C- 1/32.
44- Express 5/8 as a percent.
A- .625 percent.
B- 6.25 percent.
C- 62.5 percent.
45- Select the decimal which is most nearly equal to 77/64.
A- 0.08311.
B- 0.8311.
C- 1.2031.
46- An airplane flying a distance of 750 miles used 60 gallons of gasoline. How many
gallons will it need to travel 2,500 miles?
A- 31.250.
B- 9.375.
C- 200
47- What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?
A- 9:5.
B- 1:0.56
C- 1:1.8.
48- A pinion gear with 14 teeth is driving a spur gear with 42 teeth at 140 RPM.
Determine the speed of the pinion gear.
A- 588 RPM.
B- 420 RPM.
C- 126 RPM.
49- 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?
A- $128.13.
B- $125.60.
C- $130.00
50- If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm?
A- 2,653.
B- 3,023.
C- 3,242.
51- An engine of 98 horsepower maximum is running at 75 percent power. What is
the horsepower being developed?
A- 87.00
B- 33.30
C- 73.50
52- A blueprint shows a hole of 0.17187 to be drilled. Which fraction size drill bit is
most nearly equal?
A- 11/64.
B- 9/32.
C- 11/32.
53- Which decimal is most nearly equal to a bend radius of 31/64?
A-0.2065.
B- 0.4844.
C- 0.3164.
54-Sixty-five engines are what percent of 80 engines?
A- 81 percent.
B- 65 percent.
C- 52 percent.
55- The radius of a piece of round stock is 7/32. Select the decimal which is most
nearly equal to the diameter.
A- 0.2187.
B- 0.4375.
C- 0.3531.
56- 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?
A- 75.9 percent.
B- 76.9 percent.
C- 75.0 percent.
57- What is the ratio of 10 feet to 30 inches?
A- 4:1
B- 1:3
C- 3:1
58- 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)
A- 14.6 amperes.
B- 12.4 amperes.
C- 14.3 amperes
59- Solve the equation.
[(4 × -3) +(-9 x 2)1 ÷ 2 =
A- -30
B- -15
C- -5
60- Solve the equation.
(64 × 3/8) + 3/4 =
A- 18
B- 24
C- 32
61- Solve the equation.
(32 × 3/8) + 1/6 =
A- 12
B- 2
C- 72
62- What is the ratio of a gasoline fuel load of 200 gallons to one of 1,680 pounds?
A- 5:7
B- 2:3
C- 5:42
63- Solve the equation.
1/2 (-30 + 34) 5
A- 10
B- 95
C- 160
64- (Refer to Figure 58.) Solve the equation.
A- 174.85.
B- 68.037.
C- 14.002.
65- (Refer to Figure 59.) Solve the equation.
A- +31.25.
B- -5.20.
C- -31.25.
66- Solve the equation
4 - 31-6(2 + 3) + 4] =
A- 82
B- -25
C- -71
67- Solve the equation.
-6[-9(-8 + 4) - 2(7 + 3)] =
A- -332
B- 216
C- -96
68- Solve the equation
(-3 + 2)(-12 - 4) + (-4 + 6) × 3
A- 20
B- 22
C- 28
69- (Refer to Figure 60.) Solve the equation.
A- 11.9.
B- 11.7.
C- 11.09.
70- What is defined as a group of bits representing a complete piece of information?
A- Byte.
B- Bit.
C- Word.
71- Convert the binary number 00001111 to a whole number.
A- 31
B- 15
C- 8
72- (Refer to the Figure 66.) Solve the equation.
A- 35,998.
B- 36,002.
C- 62,208.
73- Convert 7 to binary form.
A- 0111.
B- 0011.
C- 1110.
74- Examples of units used in the conventional (U.S. or English) measurement
include
A- inch, meter, and rod.
B- inch, kilometer, and fraction.
C- inch, feet, and yard.
75- (Refer to Figure 67). Solve the equation.
A- 5.58.
B- 12.16.
C- 0.042
76- (Refer to Figure 68.) Which results in the largest number?
A- 1
B- 2
C- 3
77- If a double-acting actuating cylinder in a 3,000 psi system has a piston with a
surface area of three square inches on the extension side, and a rod with a cross-
section area of one square inch attached to the piston on the other side.
approximately how much force will the actuator be able to produce when retracting?
A- 9,000 pounds.
B- 6,000 pounds
C- 3,000 pounds.
78- The boiling point of a given liquid varies
A- directly with pressure.
B- inversely with pressure.
C- directly with density.
79- Which of the following is NOT considered a method of heat transfer?
A- Convection.
B- Conduction.
C- Diffusion.
80- An engine that weighs 350 pounds is removed from an aircraft by means of a
mobile hoist. The engine is raised 3 feet above its attachment mount, and the entire
assembly is then moved forward 12 feet. A constant force of 70 pounds is required to
move the loaded hoist. What is the total work input required to move the hoist?
A- 840 foot-pounds.
B- 1,890 foot-pounds
C- 1,050 foot-pounds.
81- Which condition is the actual amount of water vapor in a mixture of air and
water?
A- Relative humidity.
B- Dewpoint.
C- Absolute humidity.
82- Under which conditions will the rate of flow of a liquid through a metering orifice
(or jet) be the greatest (all other factors being equal)?
A- Unmetered pressure, 18 PSI; metered pressure, 17.5 PSI; atmospheric pressure,
14.5 PSI.
B- Unmetered pressure, 23 PSI; metered pressure, 12 PSI; atmospheric pressure,
14.3 PSI.
C- Unmetered pressure, 17 PSI; metered pressure, 5 PSI; atmospheric pressure,
14.7 PSI
83- (Refer to Figure 61.) The amount of force applied to rope A to lift the weight is
A- 12 pounds.
B- 15 pounds
C- 20 pounds.
84- Which will weigh the least?
A- 98 parts of dry air and 2 parts of water vapor.
B- 35 parts of dry air and 65 parts of water vapor.
C- 50 parts of dry air and 50 parts of water vapor.
85- Which is the ratio of the water vapor actually present in the atmosphere to the
amount that would be present if the air were saturated at the prevailing temperature
and pressure?
A- Absolute humidity.
B- Relative humidity.
C- Dewpoint.
86- The speed of sound in the atmosphere
A- Varies according to the frequency of the sound
B- Changes with a change in temperature
Changes with a change in pressure
87- The speed of sound in the atmosphere is most affected by variations in which of
the following?
1. Sound frequency (cps).
2. Ambient temperature.
3. Barometric pressure
A- 1
B- 2
C- 3
88- If the volume of a confined gas is doubled (without the addition of more gas), the
pressure will (assume the temperature remains constant)
A- increase in direct proportion to the volume increase.
B- remain the same.
C- be reduced to one-half its original value.
89- If the temperature of a confined liquid is held constant and its pressure is tripled,
the volume will
A- triple.
B- be reduced to one-third its original volume
C- remain the same.
90- How much work input is required to lower (not drop) a 120-pound weight from
the top of a 3-foot table to the floor?
A- 120 pounds of force.
B- 360 foot-pounds.
C- 40 foot-pounds.
91- Which atmospheric conditions will cause the true landing speed of an aircraft to
be the greatest?
A- Low temperature with low humidity.
B- High temperature with low humidity.
C- High temperature with high humidity.
92- If the fluid pressure is 800 PSI in a 1/2-inch line supplying an actuating cylinder
with a piston area of 10 square inches, the force exerted on the piston will be
A- 4,000 pounds.
B- 8,000 pounds.
C- 800 pounds.
93- In physics, which of the following factors are necessary to determine power?
1. Force exerted,
2. Distance moved.
3. Time required.
A- 1 and 2
B- 2 and 3.
C- 1, 2, and 3.
94- What force must be applied to roll a 120-pound barrel up an inclined plane 9 feet long to a height of 3 feet (disregard friction)?
L + I = R + E
L = Length of ramp, measured along the slope.
I = Height of ramp.
R = Weight of object to be raised or lowered.
E = Force required to raise or lower object.
A- 40 pounds.
B- 120 pounds
C- 360 pounds.
95- Which statement concerning heat and/or temperature is true?
A- There is an inverse relationship between temperature and heat.
B- Temperature is a measure of the kinetic energy of the molecules of any
substance.
C- Temperature is a measure of the potential energy of the molecules of any
substance.
96- What is absolute humidity?
A- The temperature to which humid air must be cooled at constant pressure to
become saturated.
B- The actual amount of the water vapor in a mixture of air and water.
C- The ratio of the water vapor actually present in the atmosphere to the amount that
would be present if the air were saturated at the prevailing temperature and
pressure.
97- The temperature to which humid air must be cooled at constant pressure to
become saturated is called
A- dewpoint.
B- absolute humidity.
C- relative humidity.
98- If both the volume and the absolute temperature of a confined gas are doubled,
the pressure will
A- not change.
B- be halved.
C- become four times as great.
99- If all, or a significant part of a stall strip is missing on an airplane wing, a likely
result will be
A- asymmetrical lateral control at or near stall angles of attack.
B- decreased lift in the area of installation at high angles of attack.
C- asymmetrical lateral control at low angles of attack.
100- The purpose of stall strips on airplane wings is to
A- increase lift in the areas of installation
B- prevent stall in the areas of installation.
C- ensure that the wing root areas stall first.
101- An airplane wing is designed to produce lift resulting from
A- positive air pressure below and above the wing's surface along with the
downward deflection of air.
B- positive air pressure below the wing's surface and negative air pressure above
the wing's surface along with the downward deflection of air.
C- negative air pressure below the wing's surface and positive air pressure above
the wing's surface along with the downward deflection of air.
102- The purpose of aircraft wing dihedral is to
A- increase lateral stability.
B- increase longitudinal stability.
C- increase lift coefficient of the wing.
103- Aspect ratio of a wing is defined as the ratio of the
A- wingspan to the wing root.
B- square of the chord to the wingspan
C- wingspan to the mean chord.
104- A wing with a very high aspect ratio (in comparison with a low aspect ratio wing)
will have
A- increased drag at high angles of attack.
B- a low stall speed.
C- poor control qualities at low airspeeds.
105- The desired effect of using winglets on an aircraft's wingtips is to
A- increase the lift to drag ratio.
B- reduce the aspect ratio.
C- optimize wing dihedral and improve lateral stability
106- Which of the following is Newton's First Law of Motion, generally termed the
Law of Inertia?
A- To every action there is an equal and opposite reaction.
B- Force is proportional to the product of mass and acceleration.
C- Every body persists in its state of rest, or of motion in a straight line, unless acted
upon by some outside force.
107- The main rotor system on a helicopter is classified in three groups. Which of
those listed is NOT one of these groups?
A- The fully articulated rotor system.
B- The flexible-beam rotor system
C- The semi-rigid rotor system.
108- Which of the following statements are correct?
A- When the cyclic pitch control lever is raised, the blade angle of all the rotor blades
increases uniformly and they create the lift that allows the helicopter to take off
vertically.
B- When the collective pitch control lever is raised, the blade angle of all the rotor
blades increases uniformly and they create the lift that allows the helicopter to take
off vertically.
C- When the collective pitch control lever is raised, the blade angle of the aft rotor
blades decreases uniformly and they create the lift that allows the helicopter to take
off vertically.
