Free Part-66 Module 1 Exam Flashcards
Memorize 50 essential terms and definitions for the EASA Part-66 Module 1 - Mathematics. See the term, recall the definition, then flip to check yourself.
How do you add two fractions with different denominators, such as 1/3 + 1/4?
Convert both fractions to a common denominator first, then add the numerators. 1/3 = 4/12 and 1/4 = 3/12, so 1/3 + 1/4 = 7/12. You cannot add numerators and denominators separately.
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About These Part-66 Module 1 Flashcards
These 50 flashcards are designed to help you memorize key terms and definitions for the EASA Part-66 Module 1 - Mathematics. Each card shows a term on the front and its definition on the back—the classic flashcard format for vocabulary memorization. Use these alongside our practice questions to build both recall and comprehension.
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Review every term in this set. Open any term to reveal its definition.
How do you add two fractions with different denominators, such as 1/3 + 1/4?
Convert both fractions to a common denominator first, then add the numerators. 1/3 = 4/12 and 1/4 = 3/12, so 1/3 + 1/4 = 7/12. You cannot add numerators and denominators separately.
Convert the fraction 5/8 to a decimal and a percentage.
5/8 = 0.625 = 62.5%. Divide the numerator by the denominator to get the decimal, then multiply by 100 for the percentage.
What is the rule for dividing one fraction by another, e.g. 2/3 divided by 4/5?
Multiply by the reciprocal of the second fraction: 2/3 divided by 4/5 = 2/3 times 5/4 = 10/12 = 5/6. 'Keep, change, flip' - keep the first fraction, change the divide sign to multiply, flip the second fraction.
Divide 120 in the ratio 2:3:5. What is each share?
The ratio parts total 2+3+5 = 10, so one part = 120 divided by 10 = 12. The shares are 2x12=24, 3x12=36, and 5x12=60, which sum back to 120.
A value increases from 80 to 100. What is the percentage increase?
Percentage increase = (increase divided by original) times 100 = (20 divided by 80) times 100 = 25%. Always divide by the ORIGINAL value, not the new one.
What is the mean (average) of the measurements 4, 7, 9, 12, and 13?
Mean = sum of values divided by number of values = (4+7+9+12+13) divided by 5 = 45 divided by 5 = 9.
What is the area of a circle with radius 7 cm (use pi = 22/7)?
Area = pi r squared = (22/7) x 7 squared = (22/7) x 49 = 154 cm squared. The radius must be squared before multiplying by pi.
A cylindrical fuel tank has radius 2 m and height 5 m. What is its volume?
Volume = pi r squared h = pi x 2 squared x 5 = pi x 4 x 5 = 20 pi, approximately 62.8 cubic metres. Volume formulas for solids extend the matching area formula by the extra dimension.
What is the area of a right triangle with base 10 cm and height 6 cm?
Area = half x base x height = half x 10 x 6 = 30 cm squared. This halves the rectangle formed by the base and height.
What is the square root of 144, and the cube root of 27?
The square root of 144 is 12, because 12 squared = 144. The cube root of 27 is 3, because 3 cubed = 27. Roots reverse the corresponding power.
Convert 2.5 metres into millimetres.
1 metre = 1000 mm, so 2.5 m = 2.5 x 1000 = 2500 mm. Multiply by 1000 when converting from metres down to millimetres.
A drawing uses a scale of 1:50. A component measures 3 cm on the drawing. What is its real length?
Real length = drawing length x scale factor = 3 cm x 50 = 150 cm (1.5 m). A scale of 1:50 means every unit on the drawing represents 50 units in real life.
Simplify the expression 3x + 5y - x + 2y.
Collect like terms separately: (3x - x) + (5y + 2y) = 2x + 7y. Only terms with the same variable can be combined.
Expand the bracket 4(2x - 3).
Multiply each term inside the bracket by 4: 4 x 2x - 4 x 3 = 8x - 12.
If x = 3, what is the value of 2x squared + 5?
Substitute x = 3: 2(3 squared) + 5 = 2(9) + 5 = 18 + 5 = 23. Apply the power to x before multiplying by the coefficient.
Simplify the algebraic fraction 6x squared over 2x.
Cancel the common factor of 2x: 6x squared over 2x = 3x. Divide the numeric coefficients and subtract the powers of x (x squared divided by x equals x).
Solve for x: 3x + 7 = 22.
Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. Whatever operation you apply, apply it to BOTH sides of the equation.
Solve the simultaneous equations x + y = 10 and x - y = 4.
Add the two equations to eliminate y: 2x = 14, so x = 7. Substitute back into the first equation: 7 + y = 10, so y = 3.
Why do you need two equations to solve for two unknowns like x and y?
One equation with two unknowns has infinitely many solutions; a second, independent equation narrows the possibilities down to exactly one solution. This is why simultaneous equations must be solved together, not separately.
Solve using substitution: y = 2x and 3x + y = 20.
Substitute y = 2x into the second equation: 3x + 2x = 20, so 5x = 20, giving x = 4. Then y = 2(4) = 8.
After solving 5x - 3 = 17 to get x = 4, how do you check the answer?
Substitute x = 4 back into the original equation: 5(4) - 3 = 20 - 3 = 17, which matches the right-hand side, confirming the solution is correct.
Solve for x: (x/2) + 3 = 9.
Subtract 3 from both sides: x/2 = 6. Multiply both sides by 2 to clear the fraction: x = 12.
How do you simplify 3x + 5x - 2?
Combine like terms: 3x + 5x = 8x, so the simplified expression is 8x - 2.
How does a negative sign affect a bracket?
Treat the negative sign as multiplication by -1: -(a - b) becomes -a + b.
Evaluate 2a + 3 when a = 4.
Substitute 4 for a, multiply first, then add: 2(4) + 3 = 11.
Expand 3(x + 2).
Use the distributive law: multiply 3 by each term, giving 3x + 6.
Solve x + 7 = 12.
Subtract 7 from both sides, so x = 5.
Solve 3x = 18.
Divide both sides by 3, so x = 6.
How do you check a solved equation?
Substitute the proposed value into the original equation and confirm both sides are equal.
What is the first step for 2x + 4 = 14?
Subtract 4 from both sides before dividing by 2. This keeps the equation balanced.
What does a graph gradient represent?
Gradient is vertical change divided by horizontal change: rise over run.
How do you locate a graph intercept?
An x-intercept occurs where y = 0; a y-intercept occurs where x = 0.
What is the defining property of a right angle, and how is it usually marked in a diagram?
A right angle measures exactly 90 degrees, formed where two lines are perpendicular to each other; it is typically marked with a small square symbol at the vertex.
What does it mean to bisect a line or an angle?
Bisecting means dividing something into two exactly equal parts. Bisecting a line finds its exact midpoint; bisecting an angle splits it into two equal angles.
How do you tell whether two lines are parallel versus perpendicular?
Parallel lines run in the same direction and never meet, no matter how far extended. Perpendicular lines cross at exactly 90 degrees. A pair of lines cannot be both at once.
In the straight-line equation y = mx + c, what do m and c represent?
m is the gradient (slope) of the line - how steep it is - and c is the y-intercept, the value of y where the line crosses the y-axis (at x = 0).
How do you calculate the gradient of a straight line between two points?
Gradient = rise divided by run = (change in y) divided by (change in x) between two points on the line. A steeper line has a larger gradient magnitude.
Find the gradient and y-intercept of the line y = 3x - 4.
Comparing to y = mx + c, the gradient m = 3 and the y-intercept c = -4, meaning the line crosses the y-axis at (0, -4) and rises 3 units for every 1 unit across.
What does the x-intercept of a graph represent, and how do you find it?
The x-intercept is where the line crosses the x-axis, meaning y = 0 at that point. Set y = 0 in the equation and solve for x to find it.
On a distance-time graph, what does the gradient represent?
The gradient of a distance-time graph equals speed, since speed is distance divided by time. A steeper gradient means a faster speed; a flat, zero gradient means stationary.
On a speed-time graph, what does the gradient represent?
The gradient of a speed-time graph equals acceleration, since acceleration is the rate of change of speed with time. A negative gradient indicates deceleration.
What does the mnemonic SOH-CAH-TOA stand for?
SOH: Sine = Opposite/Hypotenuse. CAH: Cosine = Adjacent/Hypotenuse. TOA: Tangent = Opposite/Adjacent. It defines the three basic trigonometric ratios for a right-angled triangle.
What are the values of sin 30 degrees and cos 60 degrees, and why are they equal?
Both sin 30 degrees and cos 60 degrees equal 0.5. They are equal because sine and cosine of complementary angles (angles that sum to 90 degrees) are always equal.
What is the value of tan 45 degrees, and why does it equal that value?
tan 45 degrees = 1.0 exactly, because at 45 degrees the opposite and adjacent sides of a right triangle are equal in length, so opposite divided by adjacent = 1.
What are sin 0 degrees and cos 0 degrees?
sin 0 degrees = 0 and cos 0 degrees = 1. At 0 degrees there is no 'opposite' side (giving sine 0), while the adjacent side equals the hypotenuse (giving cosine its maximum value of 1).
What are sin 45 degrees and cos 45 degrees, and why are they equal?
Both equal approximately 0.707 (exactly the square root of 2, over 2). They are equal because 45 degrees is its own complement (45 + 45 = 90), so sine and cosine of 45 degrees must match.
State Pythagoras' theorem and what it is used for.
For a right-angled triangle, a squared + b squared = c squared, where c is the hypotenuse (the longest side, opposite the right angle). It lets you find any missing side of a right triangle when the other two are known.
A right triangle has legs of length 3 and 4. What is the hypotenuse?
Using Pythagoras: c squared = 3 squared + 4 squared = 9 + 16 = 25, so c = square root of 25 = 5. This is the well-known 3-4-5 right triangle, a common shortcut for recognising right angles.
Which construction bisects a line segment?
Equal-radius arcs from both endpoints locate a perpendicular bisector through the segment's midpoint.
Which triangle sides does cosine compare?
Cosine equals adjacent divided by hypotenuse for a right-angled triangle.
Frequently Asked Questions
How many questions are on the EASA Part-66 Module 1 exam?
Category A candidates sit 16 multiple-choice questions in 20 minutes. B1, B2, B2L, and B3 sit 32 in 40 minutes. All use a 75% pass mark and three-option questions.
What topics does Module 1 Mathematics cover?
The current legal table has six broad rows: arithmetic, simple algebraic expressions, equations, simple geometrical constructions, graphical representation, and trigonometry. Category A uses only arithmetic, expressions, and graphs.
What happens if I fail a Part-66 module exam?
A failed module normally requires a 90-day wait. A retake may occur after 30 days following qualifying tailored Part-147 retraining. Separately, each examination is limited to three attempts in a 12-month period.
Do I need to memorise formulas, or is a formula sheet provided?
Calculators are not allowed under EASA guidance, so practise manual calculation. Confirm practical arrival, accommodation, and any supplied-reference instructions with the examining organisation.
Which regulation sets the current Module 1 syllabus, and does it affect these flashcards?
Use the current consolidated Regulation (EU) No 1321/2014 and latest applicable AMC. The June 12, 2026 transition deadline has passed, and older detailed lists should be treated as supplemental unless currently mapped by your authority or Part-147 provider.
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