Basic Math PDF

BASIC MATH ---------- 1\. 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 cub...

BASIC MATH ---------- 1\. 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 2\. The total piston displacement of a specific engine is - The volume displaced by all the pistons during one revolution of the crankshaft. 3\. Express 5/8 as a percent. - 62.5 percent 4\. 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 5\. Find the value of 10 raised to the negative sixth power. - 0.000001 6\. Which decimal is most nearly equal to a bend radius of 31/64? - 0.4844 7\. Find the square root of 3,722.1835 - 61.0097 8.Which results in the largest number? - 4.631 × 10\^5 9\. Convert the binary number 00001111 to a whole number. - 15 10\. Express 7/8 as a percent. - 87.5 percent 11\. Solve the equation. (Square root) -4 + 6 + 10\^3 (/1296) = \- 36,002 12\. Which alternative answer is equal to 16,300? - 1.63 x 10 to the fourth power 13\. 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 14. 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 15\. What is defined as a group of bits representing a complete piece of information? - Byte 16\. Convert the binary number 1111 to decimal form. - 15 17\. 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 18\. 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 19\. What is the surface area of a cube where a side (edge) measures 7.25 inches? - 315.375 sq. in. 20\. Solve the equation. (-3+2)(-12-4) +(-4+6) x 3 - 22 21\. Solve the equation. -6 \[-9 (-8 + 4) - 2 (7 + 3)\] = \- 96 22\. 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 23\. If an engine is turning 1,965 rpm at 65 percent power, what is its maximum rpm? - 3,023 24\. Solve the equation. 4 - 31-6(2 + 3) + 41 = - 82 25\. What is the square root of 4 raised to the fifth power? - 32 26\. 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 27 What is the ratio of 10 feet to 30 inches? - 4:1 28\. 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 29\. Which of the following is the square root of (-1776)/(-2) - 632? - 16 30\. 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 31\. 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 32\. An engine of 98 horsepower maximum is running at 75 percent power. What is the horsepower being developed? - 73.50 33\. 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 34\. The result of 7 raised to the third power plus the square root of 39 is equal to - 349.24 35\. A blueprint shows a hole of 0.17187 to be drilled. Which fraction size drill bit is most nearly equal? - 11/64 36\. What is the ratio of a gasoline fuel load of 200 gallons to one of 1,680 pounds? - 5:7 37\. What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth? - 1: 1.8 38\. Find the square root of 124.9924 - 1,118 x 10 to the negative second power 39\. Solve the equation. (32 × 3/8) ÷ 1/6 = - 72 40\. Solve the equation. 1/2 (-30 + 34) 5 - 10 41\. Examples of units used in the conventional (U.S. or English) measurement include - Inch, feet, and yard. 42\. What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning 420 RPM? - 140 RPM 43\. Convert 7 to binary form. - 0111 44\. The number 3.47 x 10 to the negative fourth power is equal to -.000347 45\. Which of the figures is using scientific notation? 1.) 3.47 × 104 = 34,700 2.) 2(410) = 2,097,152 - 1 46\. What is the square root of 16 raised to the fourth power? - 256 47\. What power of 10 is equal to 1,000,000,000? - 10 to the ninth power 48\. Select the fractional equivalent for a 0.0625 inch thick sheet of aluminum. - 1/16 49\. Find the cube of 64. - 262,144 50\. 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 51\. 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 52\. The radius of a piece of round stock is 7/32. Select the decimal which is most nearly equal to the diameter. - 0.4375 53\. Select the decimal which is most nearly equal to 77/64. - 1.2031 54\. An engine develops 108 horsepower at 87 percent power. What horsepower would be developed at 65 percent power? - 81 55\. 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 56\. Find the square root of 1,824 -.42708 x 10 to the second power 57\. 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 58\. Solve the equation. (/100 + /36 - J16) = - 12 59\. Solve the equation. \[(4 x-3) + (-9 × 2)\] ÷ 2 = - (-15) 60\. Sixty-five engines are what percent of 80 engines? - 81 percent 61\. Solve the equation. (64 × 3/8) ÷ 3/4 = - 32 62\. 1.21875 is equal to - 39/32 63\. Find the square root of 1,746 - 41.7852 64\. 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? - (.5625 inch) 65\. Select the fraction which is equal to 0.0250 - 1/40 PARTS AND PROCEDURE ------------------- 1\. 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. 2\. The reheating of heat-treated metal, such as with a welding torch - Can significantly alter a metal\'s properties in the reheated area. 3\. 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. 4\. A bolt with an X inside a triangle on the head is classified as an - NAS close tolerance bolt 5\. 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. 6.Where is an AN clevis bolt used in an airplane? - Only for shear load applications. 7.Which type of crack can be detected by magnetic particle inspection using either circular or longitudinal magnetization? - 45° 8\. In magnetic particle inspection, a flaw that is perpendicular to the magnetic field flux lines generally causes - A large disruption in the magnetic field. 9\. Which of the following defects are not acceptable for metal lines? 1\. Cracked flare. 2\. Seams. 3\. Dents in the heel of a bend less than 20% of the diameter. 4\. Scratches/nicks on the inside of a bend less than 10% of wall thickness. 5\. Dents in a straight section that are 20% of tube diameter. - 1, 2, 3 and 5. 10\. The pattern for inclusion is a magnetic particle buildup forming - Parallel lines 11\. Which tool is used to find the center of a shaft or other cylindrical work? - COMBINATION SET 12.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. 13.n the four-digit aluminum index system number 2024, the first digit indicates - The major alloying element. 14.Which of the following methods may be suitable to use to detect cracks open to the surface in aluminum forgings and castings? 1\. Dye penetrant inspection 2\. Magnetic particle inspection 3\. Metallic ring (coin tap) inspection 4\. Eddy current inspection 5\. Ultrasonic inspection 6\. Visual inspection - 1,4,5,6 15\. In performing a dye penetrant inspection, the developer - Acts as a blotter to produce a visible indication. 16.Which tool can be used to measure the alignment of a rotor shaft or the plane of rotation of a disk? - Dial indicator 17.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. 18.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. 19.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. 20\. How is the locking feature of the fiber-type locknut obtained? - By the use of an unthreaded fiber locking insert. 21.Self-locking nuts may be used on aircraft provided that - The bolt or nut are not subject to rotation. 22.What is generally used in the construction of aircraft exhaust collectors, stacks, and manifolds? - Stainless steel 23.Which statement relating to the residual magnetizing inspection method is true? - It may be used with steels which have been heat-treated for stressed applications 24.(1) An aircraft part may be demagnetized by subjecting it to a magnetizing force from alternating current that is gradually reduced in strength. \(2) An aircraft part may be demagnetized by subjecting it to a magnetizing force from a direct current that is alternately reversed in direction and gradually reduced in strength. Regarding the above statements, - Both no.1 and no,2 are true. 25.On a fillet weld, the penetration requirement includes what percentages) of the base metal thickness? - 25 to 50 percent 26.What metal has special short-time heat properties and is used in the construction of aircraft firewalls? - Titanium alloy 27.Which material cannot be heat treated repeatedly without harmful effects? - Clad aluminum alloy 28.Which statement regarding aircraft bolts is correct? - In general, bolt grip lengths should equal the material thickness. 29.How can the dimensional inspection of a bearing in a rocker arm be accomplished? - Telescopic gauge and micrometer 30\. Magnetic particle inspection is used primarily to detect - Flaws on or near the surface 31.Which of these nondestructive testing methods is suitable for the inspection of most metals, plastics, and ceramics for surface and subsurface defects? - Ultrasonic inspection 32.The clearances between the piston rings and the ring lands is measured with a - Thickness gauge 33.What is steel tempered after being hardened? - To relieve its internal stresses and reduce its brittleness. 34.What type of corrosion may attack the grain boundaries of aluminum alloys when the heat treatment process has been improperly accomplished? - Intergranular 35.Unless otherwise specified, torque values for tightening aircraft nuts and bolts relate to - Clean, dry threads 36.A part which is being prepared for dye penetrant inspection should be cleaned with - A volatile petroleum-base solvent. 37.Which tool can be used to determine piston pin out-of-round wear? - Micrometer caliper 38.The twist of a connecting rod is checked by installing push-fit arbors in both ends, supported by parallel steel bars on a surface plate. Measurements are taken between the arbor and the parallel bar with a - Thickness gauge 39.A bolt with a single raised dash on the head is classified as an - AN corrosion-resistant steel bolt 40\. To detect a minute crack using dye penetrant inspection usually requires - A longer-than-normal penetrating time. 41.Identify the correct statement. - Tools used on certificated aircraft must be an approved type. - An outside micrometer is limited to measuring diameters. - **Dividers do not provide a reading when used as a measuring device.** 42\. What tool is generally used to calibrate a micrometer or check its accuracy? - Gauge block 43.Normalizing is a process of heat treating - Iron-base metals only. 44.Generally speaking, bolt grip lengths should be - Equal to the thickness of the material which is fastened together. 45.iquid penetrant inspection methods may be used on which of the following? 1\. Porous plastics 2\. Ferrous metals 3\. Nonferrous metals 4\. Smooth primer-sealed wood 5\. Non Porous plastics - 2, 3, 5 46\. 46. Aircraft bolts with a cross or asterisk marked on the bolthead are - Standard steel bolts 47\. Which of the following materials may be inspected using the magnetic particle inspection method? 1\. Magnesium alloys 2\. Aluminum alloys 3\. Iron alloys 4\. Copper alloys 5\. Zinc alloys - 3 48\. What may be used to check the stem on a poppet-type valve for stretch? - Micrometer 49\. When the specific torque value for nuts is not given, where can the recommended torque value be found? - AC 43.13-1B 50\. Which condition indicates a part has cooled too quickly after being welded? - Cracking adjacent to the weld. 51\. Which tool is used to measure the clearance between a surface plate and a relatively narrow surface being checked for flatness? - Thickness gauge 52.One characteristic of a good weld is that no oxide should be formed on the base metal at a distance from the weld of more than - ½ inch 53\. Aircraft bolts are usually manufactured with a - Class 3 fit for the threads 54.Unless otherwise specified or required, aircraft bolts should be installed so that the bolthead is - Upward, or in a forward direction. 55.What two types of indicating mediums are available for magnetic particle inspection? - Wet and dry process materials. 56.Which number represents the Vernier scale graduation of a micrometer? - (.0001) 57\. Alclad is a metal consisting of - Pure aluminum surface layers on an aluminum alloy core. 58\. Which heat-treating process of metal produces a hard, wear-resistant surface over a strong, tough core? - Case hardening 59.What is descriptive of the annealing process of steel during and after it has been annealed? - Slow cooling; low strength 60.What precision measuring tool is used for measuring crankpin and main bearing journals for out-of-round wear? - Micrometer caliper 61.Which of the following occurs when a mechanical force is repeatedly applied to most metals at room temperature, such as rolling, hammering, or bending? 1\. The metals become artificially aged. 2\. The metals become stress corrosion cracked. 3\. The metals become cold worked, strain or work hardened. - 3 62.How many of these factors are considered essential knowledge for x-ray exposure? 1\. Processing of the film. 2\. Material thickness and density. 3\. Exposure distance and angle. 4\. Film characteristics. - Three 63.The Society of Automotive Engineers (SAE) and the American Iron and Steel Institute use a numerical index system to identify the composition of various steels. In the number \'4130\' designating chromium-molybdenum steel, the first digit indicates the - Basic alloying element. 64\. A particular component is attached to the aircraft structure by the use of an aircraft bolt and a castle tension nut combination. If the cotter pin hole does not align within the recommended torque range, the acceptable practice is to - Change washers and try again. 65\. The side clearances of piston rings are measured with a - Thickness gauge 66.A mechanic has completed a bonded honeycomb repair using the potted compound repair technique. What nondestructive testing method is used to determine the soundness of the repair after the repair has cured? - Metallic ring test 67\. (1) In nondestructive testing, a discontinuity may be defined as an interruption in the normal physical structure or configuration of a part. \(2) A discontinuity may or may not affect the usefulness of a part. Regarding the above statements, - Both No. 1 and No. 2 are true. 68.What non-destructive testing method requires little or no part preparation, is used to detect surface or near-surface defects in most metals, and may also be used to separate metals or alloys and their heat-treat conditions? - Eddy current inspection 69.A fiber-type, self-locking nut must never be used on an aircraft if the bolt is - Subject to rotation 70\. The testing medium that is generally used in magnetic particle inspection utilizes a ferromagnetic material that has - High permeability and low retentivity 71\. Circular magnetization of a part can be used to detect which defects? - Defects parallel to the long axis of the part 72\. How is a clevis bolt used with a fork-end cable terminal secured? - With a shear nut tightened to a snug fit, but with no strain imposed on the fork and safetied with a cotter pin. 73\. In examining and evaluating a welded joint, a mechanic should be familiar with - Likely ambient exposure conditions and intended use of the part, along with type of weld and original part material composition. 74.The core material of Alclad 2024-T4 is - Heat-treated aluminum alloy, and the surface material is commercially pure aluminum. 75\. Which heat-treating operation would be performed when the surface of the metal is changed chemically by introducing a high carbide or nitride content? - Case hardening 76.Which of the following describe the effects of annealing steel and aluminum alloys? 1\. Decrease in internal stress. 2\. Softening of the metal. 3\. Improved corrosion resistance. - 1,2 77\. Why is it considered good practice to normalize a part after welding? - To relieve internal stresses developed within the base metal. 78.What tool is generally used to set a divider to an exact dimension? - Machinist scale 79\. What aluminum alloy designations indicate that the metal has received no hardening or tempering treatment? - 3003-F 80\. What method of magnetic particle inspection is used most often to inspect aircraft parts for invisible cracks and other defects? - Continuous 81.The aluminum code number 1100 identifies what type of aluminum? - 99 percent commercially pure aluminum. 82\. Select a characteristic of a good gas weld. - The weld should taper off smoothly into the base metal.. 83\. One way a part may be demagnetized after magnetic particle inspection is by - Slowly moving the part out of an ac magnetic field of sufficient strength. 84\. When checking an item with the magnetic particle inspection method, circular and longitudinal magnetization should be used to - Reveal all possible defects. PHYSICS FUNDAMENTAL ------------------- 1\. If the volume of a confined gas is doubled (without the addition of more gas), the pressure will (assume the temperature remains constant) - Be reduced to one half its original value. 2\. A wing with a very high aspect ratio (in comparison with a low aspect ratio wing) will have - A low stall speed. 3\. The desired effect of using winglets on an aircraft\'s wingtips is to - Increase the lift to drag ratio. 4\. Which of the following is NOT considered a method of heat transfer? - Diffusion 5\. The main rotor system on a helicopter is classified in three groups. Which of those listed is NOT one of these groups? - The flexible-beam rotor system. 6\. An engine is removed from an aircraft by means of a mobile hoist. The engine is raised 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? - 840 foot-pounds 7\. 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)? - Unmetered pressure, 17 PSI; metered pressure, 5 PSI; atmospheric pressure, 14.7 PSI 8\. If all or a significant part of a stall strip is missing on an airplane wing, a likely result will be - Asymmetrical lateral control at or near stall angles of attack. 9\. 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? - 6,000 pounds 10\. Which statement concerning heat and/or temperature is true? - Temperature is a measure of the kinetic energy of the molecules of any substance. 11\. Which will weigh the least? - 35 parts of dry air and 65 parts of water vapor. 12\. If both the volume and the absolute temperature of a confined gas are doubled, the pressure will - Not change. 13\. Which atmospheric conditions will cause the true landing speed of an aircraft to be the greatest? - High temperature with high humidity. 14\. Which of the following is Newton\'s First Law of Motion, generally termed the Law of Inertia? - Every body persists in its state of rest, or of motion in a straight line, unless acted upon by some force. 15\. Which condition is the actual amount of water vapor in a mixture of air and water? - Absolute humidity 16\. In physics, which of the following factors are necessary to determine power? 1\. Force exerted 2\. Distance moved 3\. Time required - 1, 2 and 3 17.Which of the following statements are correct? - 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. 18\. The speed of sound in the atmosphere - Changes with a change in temperature. 19\. Aspect ratio of a wing is defined as the ratio of the - Wingspan to the mean chord. 20\. If the temperature of a confined liquid is held constant and its pressure is tripled, the volume will - Remain the same. 21\. 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? - Relative humidity 22\. The temperature to which humid air must be cooled at constant pressure to become saturated is called - Dewpoint 23\. What is absolute humidity? - The actual amount of the water vapor in a mixture of air and water. 24\. An airplane wing is designed to produce lift resulting from - Positive air pressure below the wing\'s surface and negative air pressure above the wing\'s surface along with the downward deflection of air. 25\. The boiling point of a given liquid varies - Directly with pressure. 26\. 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÷\|=R÷E L= Length of the ramp, measured along the slope. \| = Height of the ramp. R = Weight of object to be raised or lowered. E = Force required to raise or lower object. - 40 pounds 27\. The purpose of aircraft wing dihedral is to - Increase lateral stability. 28\. The speed of sound in the atmosphere is most affected by variations in which of the following? - Ambient temperature 29\. 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 - 8,000 pounds 30\. 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? - 360 foot-pounds 31\. The purpose of stall strips on airplane wings is to - Ensure that the wing root areas stall first.