2022 A&P General Written Exam - Mathematics

Which of the figures is using scientific notation? A. 1 B. 2 C. both 1 and 2

A. 1. (1.23 x 10^4, that's what it looks like)

Which alternative answer s equal to 16,300? A. 1.63 x 10 to the fourth power. B. 1.63 x 10 the negative third power. C. 163 x 10 to the negative second power.

A. 1.63 x 10 to the fourth power. (Move the decimal to the left three times)

How many gallons o fuel will be contained in a rectangular-shaped tank ehich 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

B. 75 (volume is L*W*D)

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.

B. 8.0 cubic feet. (60 / 7.5 = 8)

Solve the equation (Refer to picture) A. .0297. B. .1680. C. .0419.

C. .0419. (use calculator, the 2 above the square root is just used to confuse you, it is just a regular square root when it is 2)

Compute the area of the trapezoid. (Refer to picture) A. 24 square feet. B. 48 square feet. C. 10 square feet.

C. 10 square feet. ([(b1+b2)/2] x H)

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.

C. 10 to the ninth power.

Solve the equation: (Refer to picture) A. 174.85 B. 68.037 C. 14.002

C. 14.002

Convert the binary number 00001111 to a whole number. A. 31 B. 15 C. 8

C. 15 (1000 = 8; 0100 = 4; 0010 = 2; 0001 = 1; thus, the entire binary number is 8+4+2+1= 15 as a whole number)

Select the fractional equivalent for a 0.0625 inch thick sheet of aluminum. A. 1/16 B. 3/64 C. 1/32

A. 1/16 (When looking for fractional equivalent, divide your decimal by the decimal for 1/64th. which is 0.015625. .0625 / 0.015625 = 4, or 4/64 which is the same as 1/16)

Solve the equation: 1/2 (-30 + 34) 5 A. 10 B. 95 C. 160

A. 10

Solve the equation. (refer to picture) A. 11.9 B. 11.7 C. 11.09

A. 11.9

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

A. 11/64 (put all fractions into calculator, easier than trying to convert)

Solve the equation. (refer to picture) A. 12 B. 60 C. 76

A. 12

Which is the following is the square root of (-1776)/(-2) - 632? A. 128 B. 256 C. 16

C. 16

What is the speed ratio of a n input gear with 36 teeth meshed to a gear with 20 teeth? A. 9:5 B. 1:0.56 C. 1:1.8

C. 1:1.8 (36:20 is gear ratio. 20:36 is speed ratio; 1:1.8 is the simplified version.)

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

A. 12.5 (L*W*H; but first, put it into feet, so 5x2.5x1, which is equal to 12.5 cubic feet)

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. 12.6 amperes C. 14.3 amperes

A. 14.6 amperes (I = P/E; I = 438.8 / 30; I = 14.62 amps)

Determine the area of the triangle formed by points A, B, and C. A to B = 7.5 inches; A to D = 16.8 inches A. 42 square inches. B. 63 square inches. C. 126 square inches.

B. 63 square inches. [(B*H)/2]

Find the square root of 1824. A. 42.708 x 10 to the negative second power B. .42708 C. .42708 x 10 to the second power

C. .42708 x 10 to the second power (actual square root is 42.708, when dragging the decimal to the left, it becomes .42708 x 10 to the second power)

Solve the equation (Refer to picture) A. 5.58 B. 12.16 C. 0.042

C. 0.042

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.

C. 1,118 x 10 to the negative second power. (Square root of 124.9924 is 11.18, or 1,118 x 10 to the -2 power)

Select the decimal which is most nearly equal to 77/64 A. 0.08311 B. 0.8311 C. 1.2031

C. 1.2031 (Plug fraction into calculator to give you decimal)

Represent 5/8 as a percent A. .625 percent B. 6.25 percent C. 62.5 percent

62.5 percent (plug in calculator, then move decimal over 2 places to the right)

Find the value of 10 raised to the negative sixth power. A. 0.000001 B. 0.000010 C. 0.0001

A. 0.000001 (10^-6, calculator helps)

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. 0.5625 inch. B. 0.8750 inch. C. 0.3125 inch.

A. 0.5625 inch. (subtract threaded portion from shank length.)

Convert 7 to binary form. A. 0111 B. 0011 C. 1110

A. 0111 (1000 = 8; 0100 = 4; 0010 = 2; 0001 = 1; add together)

Which alternative answer is equal to 5.59? (Refer to picture) A. 1 B. 2 C. 3

A. 1 (Simplify all terms, and then it is just basic arithmetic)

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. 1,020 pounds. (Multiply the area of piston by the psi)

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.

A. 200 cubic inches. (Square the bore, and multiply by 1/4 pi to get area. Then multiply by length of stroke(4.5 inches). this gives you 50.49 cubic inches, on a 4 cylinder, it becomes slightly more than 200 cubic inches)

What is the square root of 4 raised to the fifth power? A. 32 B. 64 C. 20

A. 32 (It is 2^5; use calculator to solve)

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

A. 349.24 (343 + 6.245)

Find the square root of 1,746. A. 41.7852 B. 41.7752 C. 40.7742

A. 41.7852 (Calculator, it is a life saver)

What is the ratio of 10 feet to 30 inches? A. 4:1 B. 1:3 C. 3:1

A. 4:1 (120 inches to 30 inches. SIMPLIFY)

Compute the area of the trapezoid. (Refer to picture) A. 52.5 square feet. B. 60 square feet. C. 76.5 square feet.

A. 52.5 square feet. ([(b1+b2)/2] x H)

What is the ratio of a gasoline fuel load of 200 gallons to one of 1680 pounds? A. 5:7 B. 2:3 C. 5:42

A. 5:7 (Gasoline=6 lbs per gallon, turn to like terms to make it easier. 1200:1680. 1200 is 71% of 1680, or 5/7ths or 5:7)

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

A. 75.9 percent (835.3/1100=.759; which is 75.9%)

An engine develops 108 horsepower at 87 percent power. What horsepower would be developed at 65 percent power? A. 81 B. 70 C. 61

A. 81 (108 / .87 = 124.13 hp at 100 percent. To find 65%, 124.13 x 0.65 to get 80.68)

Sixty-five engines are what percent of 80 engines? A. 81 Percent B. 65 Percent C. 52 Percent

A. 81 percent (65 divded by 80 is equal to 0.8125, which is 81/100 or 81%)

Solve the equaton 4 - 3 [-6(2+3) + 4] = A. 82 B. -25 C. -71

A. 82 (PEMDAS)

What is defined as a group of bits representing a complete piece of information? A. Byte. B. Bit. C. Word.

A. Byte.

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.

B. 7.0686 cubic inches (square diameter of piston head, and multiply by 0.7854, and then multiply by 4 inches of stroke)

[(4 x -3) + (-9 x 2)] / 2 = A. -30 B. -15 C. -5

B. -15

Solve the equation (Refer to picture) A. +31.25 B. -5.20 C. -31.25

B. -5.20 [(125 / -4) / (-6 / -36)]

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

B. 0.4375 (find 7/32 by putting it in calculator, then add another 7/32 to it)

Which decimal is most nearly equal to a bend radius of 31/64? A. 0.2065 B. 0.4844 C. 0.3164

B. 0.4844 (Plug fraction into calculator to give you decimal)

Select the fraction which is equal to 0.0250? A. 1/4 B. 1/40 C. 1/400

B. 1/40 (if unsure, just put the fraction in the calculator to give you the decimal)

Which results in the largest number? (Refer to picture) A. 1 B. 2 C. 3

B. 2 (463,100, becomes the largest by a wide margin)

Solve the equation: (-3 + 2)(-12 - 4) + (-4 +^) x 3 A. 20 B. 22 C. 28

B. 22

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 displacement of A.256.88 cubic inches. B. 259.77 cubic inches. C. 43.3 cubic inches.

B. 259.77 cubic inches. (square diameter of piston head, and multiply by 0.7854, and then multiply by 4.5 inches of stroke; and then multiply by six for each cylinder)

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

B. 3,023 (1,965 / 0.65 = 3,023)

What is the surface area of a cube where a side (edge) measures 7.25 inches? A. 381.078 cubic inches. B. 315.375 square inches. C. 52.5625 square inches.

B. 315.375 square inches (each side is 52.5625, multiply by 6 to equal 315.375)

Solve the equation (Refer to picture) A. 35,998 B. 36,002 C. 62,208

B. 36,002

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.

B. 420 RPM (Speed Ratio is reciprocal of Gear Ratio. 42:14 is 3:1. Spur gear is 3 times slower than pinion. Pinion is therefore moving at 420 RPM.)

Find the area of the triangle shown. (Refer to picture) A. 12 Square Inches B. 6 Square Inches C. 15 Square Inches

B. 6 Square inches (1/2*B*H)

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

B. 8.83 (Not like terms!! It's trying to trick you!! 27.5 x 9 x 8.25 = 2041.875 cu in. 2041.875/231 = 8.83 gallons)

The total piston displacement in a reciprocating engine is: A. The volume displaced by only one piston during one half revolution of the crankshaft. B. The volume displaced by all of the pistons during one revolution of the crankshaft. C. The volume displaced by all the pistons during two revolutions of the crankshaft.

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

The parts department's profit is 12 percent on a new part. How much does a part cost if the selling price is $145.60? A. $128.13 B. $125.60 C. $130.00

C. $130.00 (Divide 145.60 / 1.12; because the selling price is 112% of the cost price)

Solve the equation. -6[-9(-8 + 4) - 2(7 +3)] = A. -332 B. 216 C. -96

C. -96 (PEMDAS)

The number 3.47 x 10 to the negative fourth power is equal to A. .00347 B. 34,700 C. .000347

C. .000347 (Move the decimal 4 places to the left)

What size of sheet of metal is required to fabricate a cylinder 20 inches long and 8 inches in diameter? (Note: C = pi x D) A. 20 inches x 25-5/32 inches. B. 20 inches x 24-9/64 inches. C. 20 inches x 25-9/64 inches.

C. 20 inches x 25-9/64 inches.

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

C. 200

What is the square root of 16 raised to the fourth power? A. 1,024 B. 4,096 C. 256

C. 256 (It is just 4^4, work it out)

64 cubed equals A. 4 B. 192 C. 262,144

C. 262,144 (Calculator)

Solve the equation: (64 x 3/8) / (3/4) = A. 18 B. 24 C. 32

C. 32

What is the volume of a sphere with a radius of 4.5 inches. **V =1/6πD^3** A. 47.71 cubic inches. B. 381.7 square inches. C. 381.7 cubic inches.

C. 381.7 cubic inches.

1.21875 is equal to A. 83/64 B. 19/16 C. 39/32

C. 39/32 (Easier to put all fractions into calculator to get decimal)

A rectangular-shaped fuel tank measures 37-1/2 inches in length, 14 inches in width, and 8-1/4 inches n depth. How many cubic inches are within the tank? A. 59.75 B. 433.125 C. 4,331.25

C. 4,331.25 (37.5 x 14 x 8.25 = 4,331.25)

Solve the equation: (Refer to picture) A. 115 B. 4.472 C. 5

C. 5 (Please remember PEMDAS. Anything to the "0 power" is always one.)

Find the square root of 3722.1835. A. 61.00971 B. 61.00 C. 61.0097

C. 61.0097 (USE THE CALCULATOR)

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

C. 6:1 (84-70 = 14; 84:14=6:1)

Solve the equation. (32 x 3/8) ÷ 1/6 = A. 12 B. 2 C. 72

C. 72 (PEMDAS baby)

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

C. 73.50 (98 x 0.75 = 73.50)

Express 7/8 as a percent. A. 8.75 percent. B. .875 percent. C. 87.5 percent.

C. 87.5 percent. (plug into calculator)

Examples of units used in the conventional (US or English) measurement include. A. inch, meter and gram. B. inch, kilo and liter. C. inch, ounce and pound.

C. inch, ounce, and pound.