Free Part 66 Module 1 sample questions
Free EASA Part 66 Module 1 practice questions with fully worked answers — no account needed.
1.1 Arithmetic
Which of the following is a perfect square number: 12, 45, 81?
Answer: 81 = 9 x 9, so it is a perfect square. The others are not the product of an integer multiplied by itself.
Calculate (-5) ÷ (-6).
Answer: Two like signs give a positive result: (-5) ÷ (-6) = 0.83.
What is ⁵⁄₆ - ¹⁄₂?
Answer: Convert to a common denominator of 6: ⁵⁄₆ = ⁵⁄₆ and ¹⁄₂ = ³⁄₆. Subtracting gives ²⁄₆, which simplifies to ¹⁄₃.
Using 1 ft = 0.3048 m, convert 35 ft to m.
Answer: 35 x 0.3048 = 10.67 m.
A quantity of 56 is divided in the ratio 1:2:4. What is the middle share?
Answer: The parts add up to 1 + 2 + 4 = 7, so each part = 56 / 7 = 8. The middle share is the middle number in the ratio: 2 x 8 = 16.
20% of a quantity is 18. What is the full quantity?
Answer: If 20% = 18, then 1% = 0.9, so 100% = 0.9 x 100 = 90.
1.2 Algebra
Simplify: 9x + 8x + 6
Answer: Combine the like terms (the x terms): 9x + 8x = 17x. The constant 6 has no like term, so the answer is 17x + 6.
Solve for x: 4x + 18 = 30
Answer: Subtract 18 from both sides: 4x = 12. Divide by 4: x = 3.
Simplify: 2x/2 + 8x/2
Answer: Since both fractions already share the denominator 2, add the numerators: 2x + 8x = 10x, giving 10x/2, which simplifies further to 5x.
Simplify: (2⁴)³
Answer: When raising a power to a power, multiply the indices: 4 x 3 = 12, giving 2¹².
Solve: y = 3x + 6 and 3x + y = 30. What is x?
Answer: Substitute y = 3x + 6 into the second equation: 3x + 3x + 6 = 30, so 6x = 24, giving x = 4.
What are the two solutions of x² - 7x + 12 = 0?
Answer: Factorise: (x - 3)(x - 4) = 0, so x = 3 or x = 4.
1.3 Geometry & trigonometry
Two angles lie on a straight line. One is 45°. What is the other?
Answer: Angles on a straight line add up to 180°, so the other angle is 180 - 45 = 135°.
For the line y = -3x - 4, what is the gradient?
Answer: In the form y = mx + c, m is the gradient, so the gradient is -3.
A line has equation y = -4x + 0. What is y when x = -2?
Answer: Substitute x = -2: y = -4 x -2 + 0 = 8 + 0 = 8.
What is the size of each exterior angle of a regular polygon with 12 sides?
Answer: The exterior angles of a regular polygon sum to 360° and are all equal: 360 ÷ 12 = 30°.
A right-angled triangle has a hypotenuse of 10 cm and one angle of 60°. What is the length of the side opposite the 60 degree angle?
Answer: Opposite = hypotenuse x sin(angle) = 10 x sin(60) = 10 x 0.866 = 8.66 cm.
A triangle has sides of 8 cm, 15 cm and 20 cm. Is this a right-angled triangle?
Answer: Check whether the two shorter sides squared add up to the longest side squared: 8² + 15² = 289, compared to 20² = 400. They don't match, so it is not right-angled.
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