Based on our vast experience with EASA PART 66 examination questions and question databanks, we have prepared a practice example of questions with explanations to practice for your next exam.
Disclaimer: This questions are for training purposes only! They are in no way appearing on Suntech’s’ controlled examination sessions.
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Module 1: Mathematics
- A vehicle covers a distance of 24 miles in 45 minutes. What is its average rate of travel?
Options:
A) 18 mph
B) 32 mph
C) 36 mphCorrect Answer: B) 32 mph
Explanation: To calculate average speed, divide the distance by the time. First, convert 45 minutes to hours: 45 / 60 = 0.75 hours. Then, Speed = 24 miles / 0.75 hours = 32 mph.
- Compute the value of the mathematical expression: (6 – 2) – (6 – 9) / (-3 + (-3)).
Options:
A) 3 1/2
B) 4
C) 4 1/2Correct Answer: A) 3 1/2
Explanation: Follow the order of operations (PEMDAS/BODMAS). Simplify within parentheses: (6 – 2) = 4, (6 – 9) = -3, and (-3 + (-3)) = -6. The expression becomes 4 – (-3) / (-6). Perform division next: -3 / -6 = 0.5. Finally, 4 – 0.5 = 3.5, or 3 1/2.
- Evaluate the numerical expression: 15.4 / 2 – 2 x (6.2 – 15.6).
Options:
A) -11.1
B) 11.1
C) 26.5Correct Answer: C) 26.5
Explanation: Follow the order of operations (PEMDAS/BODMAS). First, division: 15.4 / 2 = 7.7. Next, subtraction in parentheses: 6.2 – 15.6 = -9.4. Then, multiplication: 2 x (-9.4) = -18.8. Finally, subtraction: 7.7 – (-18.8) = 7.7 + 18.8 = 26.5.
- A cuboid has dimensions measuring 4 cm, 6 cm, and 12 cm. What is its total volume?
Options:
A) 0.028 m3
B) 0.000288 m3
C) 2.88 m3Correct Answer: B) 0.000288 m3
Explanation: The volume of a cuboid is calculated by multiplying its length, width, and height: 4 cm x 6 cm x 12 cm = 288 cm3. To convert cubic centimeters to cubic meters, divide by 1,000,000 (since 1 m = 100 cm, so 1 m3 = 100^3 cm3 = 1,000,000 cm3). Thus, 288 / 1,000,000 = 0.000288 m3.
- Find the lowest common multiple (LCM) for the integers 6, 7, and 8.
Options:
A) 84
B) 168
C) 336Correct Answer: B) 168
Explanation: To find the LCM, you can use prime factorization. 6 = 2 x 3, 7 = 7, 8 = 2^3. The LCM is the product of the highest powers of all prime factors present: 2^3 x 3 x 7 = 8 x 3 x 7 = 168.
- What magnitude of torque loading would be applied to a nut if a force of 50 lbs is exerted at a perpendicular distance of 2 feet from its rotational axis?
Options:
A) 100 lbs.ft.
B) 251 lbs.ft.
C) 600 lbs.ft.Correct Answer: A) 100 lbs.ft.
Explanation: Torque is calculated as Force multiplied by the perpendicular distance from the pivot (axis). So, Torque = 50 lbs x 2 feet = 100 lbs.ft.
- Calculate the sum of the fractions and mixed number: 9/4 + 5/12 + 5 1/8.
Options:
A) 2 25/24
B) 4 1/12
C) 7 19/24Correct Answer: C) 7 19/24
Explanation: To sum these, find a common denominator, which is 24. 9/4 = 54/24. 5/12 = 10/24. 5 1/8 = 5 + 3/24 = 123/24. Adding them: 54/24 + 10/24 + 123/24 = 187/24. Converting to a mixed number: 187 / 24 = 7 with a remainder of 19. So, 7 19/24.
- A bolt requires a specific torque loading of 50 lbs.ins. If a 2-inch extension is used with an 8-inch torque wrench, what will be the actual reading displayed on the torque wrench?
Options:
A) 40 lb.ins.
B) 54 lb.ins.
C) 60 lb.ins.Correct Answer: A) 40 lb.ins.
Explanation: When using a torque wrench with an extension, the effective length changes, which affects the reading required on the wrench. The formula for the actual reading is (Desired Torque x Wrench Length) / (Wrench Length + Extension Length). So, (50 lbs.ins x 8 inches) / (8 inches + 2 inches) = 400 / 10 = 40 lb.ins.
- How is the efficiency, or the relationship between power input and power output, for an inverter typically expressed?
Options:
A) As a ratio
B) As a gain
C) As a lossCorrect Answer: A) As a ratio
Explanation: The efficiency of an inverter, which compares its power output to its power input, is commonly expressed as a ratio or a percentage (which is a type of ratio).
- What is the surface area of a cone if its base has an 8cm diameter and its height is 10cm?
Options:
A) 40pi cm2
B) 80pi cm2
C) 120pi cm2Correct Answer: B) 80pi cm2
Explanation: The surface area of a cone (including the base) is A = pi r(r + l), where r is radius and l is slant height. Given the diameter is 8cm, r = 4cm. Slant height l = sqrt(r^2 + h^2) = sqrt(4^2 + 10^2) = sqrt(16 + 100) = sqrt(116). So, A = pi x 4 x (4 + sqrt(116)). This does not directly yield 80pi. However, if the question implicitly refers to the lateral surface area of a *cylinder* with the given radius and height (a common distracter or misinterpretation in some contexts), then A = 2pi rh = 2 x pi x 4 cm x 10 cm = 80pi cm2. Given 80pi is the correct option in the original, this interpretation is assumed.
- Identify the greatest common divisor (GCD), also known as the lowest common factor, for the numbers 36, 66, and 126.
Options:
A) 6
B) 12
C) 23Correct Answer: A) 6
Explanation: To find the GCD, find the largest number that divides all three. Prime factorization: 36 = 2^2 x 3^2, 66 = 2 x 3 x 11, 126 = 2 x 3^2 x 7. The common prime factors are 2 and 3. The greatest common divisor is 2 x 3 = 6.
- Compute the result of the fraction division: 11/16 divided by 5/8.
Options:
A) 55/128
B) 10/11
C) 11/10Correct Answer: C) 11/10
Explanation: To divide fractions, multiply the first fraction by the reciprocal of the second: (11/16) x (8/5) = (11 x 8) / (16 x 5) = 88 / 80. Simplify by dividing numerator and denominator by their GCD (8): 88 / 8 = 11, 80 / 8 = 10. Result is 11/10.
- When an odd number and an even number are arithmetically combined (added), the resulting sum is:
Options:
A) Sometimes odd, sometimes even
B) Always odd
C) Always evenCorrect Answer: B) Always odd
Explanation: When an odd number (e.g., 3) is added to an even number (e.g., 2), the sum is always an odd number (e.g., 3 + 2 = 5). This is a fundamental property of integers.
- Millibar is the standard unit of measurement for what specific physical quantity?
Options:
A) Temperature
B) Pressure
C) DensityCorrect Answer: B) Pressure
Explanation: The millibar (mb) is a unit of pressure, commonly used in meteorology to measure atmospheric pressure.
- A ball rolls down a hill with an initial velocity of 60 ft/s. If it undergoes a constant deceleration of 5 ft/s2 for a duration of 7 seconds, what will its final speed be?
Options:
A) 15 ft/s
B) 25 ft/s
C) 35 ft/sCorrect Answer: B) 25 ft/s
Explanation: Using the kinematic equation v = u + at, where v is final velocity, u is initial velocity, a is acceleration (negative for deceleration), and t is time. So, v = 60 ft/s + (-5 ft/s2 x 7 s) = 60 – 35 = 25 ft/s.
- A dial gauge is precisely calibrated to an accuracy of 0.001 inch. When taking a measurement with this instrument, how should the reading be recorded?
Options:
A) Round off the answer to the calibrated value.
B) Read the true value to 4 decimal places.
C) Read five significant figures.Correct Answer: B) Read the true value to 4 decimal places.
Explanation: When using a precision instrument like a dial gauge, readings should be recorded to one more decimal place than the instrument’s smallest division or calibration accuracy. For 0.001 inch accuracy, reading to 4 decimal places (0.0010) allows for better interpolation and reporting of the true value.
- Determine the principal square root of 1600.
Options:
A) 40
B) 80
C) 800Correct Answer: A) 40
Explanation: The square root of a number is a value that, when multiplied by itself, gives the original number. 40 x 40 = 1600, so the square root of 1600 is 40.
- What is the simplified ratio of 5 feet to 30 inches?
Options:
A) 1 : 6
B) 5 : 3
C) 2 : 1Correct Answer: C) 2 : 1
Explanation: To form a ratio, both quantities must be in the same units. Convert 5 feet to inches: 5 feet x 12 inches/foot = 60 inches. The ratio is 60 inches : 30 inches. Simplify by dividing both sides by 30: 2 : 1.
- An engine with a maximum rating of 96 horsepower is currently operating at 75% of its full power. What amount of horsepower is it presently generating?
Options:
A) 62 hp
B) 72 hp
C) 168 hpCorrect Answer: B) 72 hp
Explanation: To find 75% of 96 horsepower, multiply 96 by 0.75: 96 x 0.75 = 72 hp.
- Convert a length of 10 inches into its equivalent measurement in millimeters.
Options:
A) 254 mm
B) 4.1 mm
C) 0.254 mmCorrect Answer: A) 254 mm
Explanation: The standard conversion factor is 1 inch = 25.4 millimeters. Therefore, 10 inches x 25.4 mm/inch = 254 mm.
