FAA-H-8083-30B AMT General Handbook – Mathematics in Aviation Maintenance Practice Exam

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• What is the approximate piston displacement of a four-cylinder aircraft engine with a cylinder bore of 3.78 inches and a depth of 8.5 inches with a piston measuring 4.0 inches from the bottom?
• What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning at 420 RPM?
• What role does the center of gravity play in aircraft stability?
• Which of the following best illustrates a binary operation?
• What is the perimeter of a rectangular tank measuring 5 feet by 10 feet?
• What is the relationship between radius and diameter in circle geometry?
• What does it mean for planes to be in level flight concerning weight and lift?
• Which mathematical discipline is best used to determine the relationship between the radius of a circle and its area?
• If a fuel tank holds 50 gallons and is only 40% full, how many gallons of fuel are in the tank?
• What is the cube root of 216?
• What is the formula for converting nautical miles to statute miles?
• What formula is used to calculate the density of a substance?
• How do you calculate the center of gravity (CG) for an aircraft?
• What is the formula for the circumference of a circle?
• What mathematical operation would you use to solve for an unknown variable?
• What is the largest whole number less than the square root of 50?
• What is the horsepower being developed if an engine of 98 horsepower maximum is running at 75 percent power?
• When analyzing the expression 5 + 2 × (3 + 4), what should be done first?
• In the equation x^2 = 16, what is the value of x?
• What is the area of a rectangle with a length of 9 inches and a width of 5 inches?
• How do you find the range of a set of numbers?
• What is the decimal equivalent of a bend radius of 31/64?
• What is the fractional equivalent of a thickness of 0.0625 inches?
• How do you find the effective wing area of an aircraft?
• What is the formula used to determine the volume of a solid rectangular object?
• What is the result of 7 raised to the third power plus the square root of 39?
• A battery of an unmanned aircraft is 21% discharged with a capacity of 2,400 amps. How many amps remain in the battery?
• What is the mathematical representation of the square of a number?
• How does increasing the angle of attack affect lift?
• Which formula is used to determine the area of a triangular piece of sheet metal?
• What is the unit of measurement for pressure in aviation maintenance?
• If an airplane is flying at 22,000 feet above sea level and the temperature is 25° cooler than at sea level, what is the temperature at 30,000 feet if the temperature at sea level is -4°?
• Determine the area of the triangle formed by points A, B, and C if side A-B measures 7.5 inches and side A-C measures 16.8 inches.
• What power of 10 is equal to 1,000,000?
• If the maximum life for a certain part is 1,100 hours and the average life of removed parts is 835.3 hours, what percent of the maximum part life has been achieved?
• In binary coding, what two states are typically represented?
• Select the container size that is equal in volume to 60 gallons of fuel (7.5 gal = 1 cu. ft.).
• To maintain consistent density throughout a substance, which of the following factors must remain constant?
• The area of a rectangle measuring 9 inches by 5 inches is how many square inches?
• If the equation is [(4 x -3) + (-9 x 2)] ÷ 2, what is the result?
• If an engine is turning at 1,965 RPM at 65 percent power, what is its maximum RPM?
• What equation would you use to estimate the time to climb to altitude?
• If an aircraft bolt has an overall length of 1-1/2 inches and a shank length of 1-3/16 inches, what is the grip length?
• Which of the following is NOT a characteristic of the binary number system?
• How must you adjust calculations for temperature in aviation systems?
• When calculating the total weight of an aircraft, which factor is not included?
• What is the function of a pascal in measuring pressure?
• How do you express a decimal as a fraction?
• How do you calculate the effective gross weight of an aircraft?
• If a hole diameter is specified as 0.17187 inches, which drill bit size will result in the closest fit?
• What is the importance of using proper scaling in diagrams?
• If an aircraft's fuel tank contains 300 gallons and the total volume is to be calculated in cubic feet, what is the volume when 7.5 gallons equals 1 cubic foot?
• How do you calculate the break-even point in aviation maintenance?
• What is the ratio of a gasoline fuel load of 200 gallons to the weight of 1,680 pounds?
• How do you calculate the area of a rectangle?
• Which of the following represents the operation of 10 raised to the third power?
• What is the optimal way to express 0.0625 in fractional form?
• What is the surface area of a cube where a side measures 7.25 inches?
• What is the relationship between volts, amps, and ohms in electrical circuits?
• What is the main advantage of using binary systems in electronic components?
• How do you calculate the torque applied to a bolt?
• What is 7 cubed?
• Which drill bit size is most nearly equal to a hole of 0.17187 inches to be drilled?
• What is the formula for the energy stored in a capacitor?
• How many gallons of gasoline are needed for an airplane to travel 2,500 miles if it uses 60 gallons for 750 miles?
• What is the relationship between power, voltage, and current in electrical terms?
• How do you calculate the hypotenuse of a right triangle?
• Which component is crucial in maintaining balanced flight?
• What is the mathematical operation to convert a binary to decimal?
• What is the formula for the surface area of a sphere?
• What is the total volume in cubic feet of a tank that measures 4 feet long, 2 feet wide, and 3 feet deep?
• What is the speed ratio of an input gear with 36 teeth meshed to a gear with 20 teeth?
• What is the importance of understanding load calculations in aviation?
• What is often used to facilitate fuel system analysis in aircraft?
• How do you compute an aircraft's takeoff weight?
• Why is the binary system essential in the design of airplane control systems?
• In aviation maintenance, what is the primary purpose of propulsive thrust calculation?
• 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?
• How do you determine the flight path angle?
• What is a common application of the binary system in aviation technology?
• What is the mathematical equation used for calculating the pressure altitude?
• What is the definition of voltage in electrical systems?
• How do you calculate the lift-to-drag ratio?
• What is 3.47 × 10 to the negative fourth power equal to?
• What is the binary representation of the decimal number 147?
• What factor is essential for calculating weight and balance in aircraft?
• In electrical systems, what does an increase in voltage typically lead to in a circuit?
• How many gallons of fuel will be contained in a rectangular shaped tank measuring 2 feet in width, 3 feet in length, and 1 foot 8 inches in depth (7.5 gal = 1 cu. ft.)?
• If a circle's radius is halved, how does this affect its area?
• How can you express a number in scientific notation?
• What is the formula to calculate kinetic energy?
• What mathematical factor is critical in lift generation for an aircraft wing?
• In aviation maintenance, which unit is most commonly used for speed?
• If a wheel has a circumference of 78 inches, what is the distance covered in 5 rotations of the wheel?
• What unit of measure is commonly used for small distances in scientific contexts?
• Which mathematical operation would you perform first in the expression (-1776) ÷ (-2) - 632?
• What is the formula for the slope of a line?
• What is one millionth of a meter known as?
• What does the variable 'm' represent in the linear equation y = mx + b?
• What is the square root of 1,824?
• Which of the following is NOT a unit used in the English measurement system?
• How many miles are equivalent to 10 kilometers?
• How do you calculate the load factor on an aircraft?
• Trigonometric functions are used to show the relationship between the sides and angles of which geometric shape?
• Which of the following correctly orders the steps to solve the expression 8 + 4 × (2 + 3)?
• How is pressure defined in psi (pounds per square inch)?
• What is the significance of the safety factor in aviation design?
• Which of the following best describes binary numbers?
• What is the decimal equivalent of the binary number 11011001?
• When dividing fractions, what is the correct method to use?
• Which method helps visualize the results of dividing by a fraction?
• How do you determine the total weight of an aircraft?
• How do you calculate the mean (average) of a set of numbers?
• What is the area of a trapezoid with a height of 5 ft and bases of 10 ft and 5 ft?
• What is the value of 10 raised to the negative sixth power?
• The result of (-1776) ÷ (-2) - 632 equals what value?
• How do you convert meters to kilometers?
• What do the binary states of a system generally correspond to in physical components?
• In binary coding, '1' typically represents which state?
• What is the change in Fahrenheit if an aircraft ascends from 5,000 feet to 10,000 feet where the temperature drops at a constant rate of 3°C per 1,000 feet?
• How do you ensure that calculations in aviation maintenance are performed accurately?
• What is the formula for finding the area of a triangle?
• A pilot flies 0.81 of the way to her destination before she stops to refuel. What percentage of her trip is left?
• If the diameter of a master cylinder is 1.5 inches, what is the area of the piston?
• What is the importance of maintaining proper torque settings on fasteners?
• Which of the following equations is expressed in scientific notation?
• How does the binary system contribute to reliability in aircraft systems?
• When converting gallons to quarts, how do you express the relationship mathematically?
• Which of the following best exemplifies the concept of binary logic in aircraft systems?
• What is the volume formula for a rectangular prism?
• Why is the binary number system advantageous for electronic systems?
• When evaluating algebraic equations, which operation is performed first according to standard mathematical rules?
• What is an example of a linear equation?
• Which factor significantly influences airfoil efficiency?
• What is the piston displacement of a master cylinder with a 1.5-inch diameter bore and a 4-inch stroke?
• What geometry principle is often applied in airfoil design?
• What is the total horsepower at which an engine rated for 250 horsepower operates at 85% of its power?
• Can a painting that measures 9 feet tall by 9 feet wide fit through a cargo plane door that is 6 1/2 feet tall and 8 1/2 feet wide?
• If a pinion gear has 14 teeth and drives a spur gear with 42 teeth at 140 RPM, what is the speed of the pinion gear?
• What is the volume of a sphere with a radius of 4.5 inches?
• In aviation maintenance, what is the significance of the Pythagorean theorem?
• What is the definition of proportion in mathematics?
• What is the primary purpose of using operations inside parentheses in algebraic equations?
• How do you calculate the power required to cruise at a steady speed?
• What is the rule for converting feet to meters?
• How can the common denominator in fractions be found?
• How do you convert inches to feet?
• Which of the following is the correct grip length if the shank is 1-3/16 inches and overall is 1-1/2 inches?
• What is the significance of using proper units in calculations?
• Solve the equation: 2x + 4 = 18. What is the value of x?
• What is the square root of 124.9924?
• How do you calculate the total load for a specific aircraft maintenance task?
• What is the Pythagorean theorem?
• What is the primary basis of the binary number system used in aircraft electronics?
• If a triangle has a base of 4 inches and a height of 3 inches, what is the area?
• If a cable is 50 feet long and needs to be cut into equal lengths of 5 feet each, how many pieces of cable can be cut?
• What does the formula πr² represent in aviation maintenance?
• What is the formula for converting Celsius to Fahrenheit?
• How do you find the percent of a given number?
• How would you express the square root of 1,824 in scientific notation?
• What is the value of (2^3 + 3^2)?
• How do you calculate the drag force experienced by an aircraft?
• What is the formula for the volume of a sphere?
• In the formula for determining the circumference of a circle (C = ∏ × diameter), what is the approximate value of ∏?
• What is the correct way to express a relationship between fuel load in gallons and weight in pounds?
• What is the opening area of an aircraft's engine cylinder if the inside diameter or bore is 6 inches?
• How do you convert Fahrenheit to Celsius?
• What is the importance of understanding units in fuel quantity calculations?
• Which of the following represents the concept of effective gross weight?
• Using scientific notation, which of the following is equal to 16,300?
• What unit is commonly used to measure air density in aviation calculations?
• How do you find the volume of a cylinder?
• How can you express 7/8 as a percentage?
• What would be the weight in pounds of a substance that has a density of 8 lbs/ft³ if you had a volume of 2 ft³?
• How do you convert gallons to quarts?
• The binary number system allows for values to be what?
• How does humidity affect engine performance?
• What is the impact of increasing drag on an aircraft's performance?
• In aviation maintenance, what aspect do fixed costs primarily cover?
• What is the formula to calculate the area of a circle?
• Which of the following best describes the nature of systems using binary numbers in aviation?
• Which is an example of a binary number?
• What is the length of the diagonal of a rectangle with a width of 3 inches and a height of 4 inches?