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AMG · 8% of the exam

Mathematics practice questions

10 free Mathematics questions for the Aviation Mechanic General (AMG) Knowledge Test exam, each with the correct answer and an explanation for every option.

Start the questionsFree 10-question AMG quiz

What this domain covers

The maths a mechanic uses: arithmetic, algebra, geometry and conversions.

Exam weight
8%
On a real exam
≈ 5 questions
In our bank
48 questions

Topics that come up most

  • Fractions, decimals and percentages
  • Ratios and proportions
  • Area and volume
  • Powers and roots
  • Unit conversions

How to study it

Practise without a calculator first; speed with basic operations saves time across the test.

Sample Mathematics questions

Try each one before opening the answer. Original questions written to the official exam objectives.

  1. Question 1

    A value decreases from 80 to 60. What is the percent decrease?

    • A75 percent
    • B20 percent
    • C33 percent
    • D25 percent
    Show answer and explanation

    Answer: D) 25 percent

    • AIncorrect. 60 is 75 percent of 80; the decrease is 25 percent.
    • BIncorrect. 20 is the amount of the drop, not the percentage.
    • CIncorrect. Divide by the original value of 80, not 60.
    • DCorrect. The drop of 20 divided by the original 80 is 25 percent.

  2. Question 2

    What is the volume of a rectangular tank 2 ft × 3 ft × 4 ft?

    • A24 cubic feet
    • B9 cubic feet
    • C12 cubic feet
    • D48 cubic feet
    Show answer and explanation

    Answer: A) 24 cubic feet

    • ACorrect. 2 × 3 × 4 = 24 cu ft.
    • BIncorrect. This adds the sides.
    • CIncorrect. This multiplies only two sides.
    • DIncorrect. This doubles the answer.

  3. Question 3

    What is the area of a circle with an 8-inch diameter?

    • AAbout 50.3 square inches
    • BAbout 201 square inches
    • CAbout 25.1 square inches
    • D64 square inches
    Show answer and explanation

    Answer: A) About 50.3 square inches

    • ACorrect. Radius 4: π × 4² ≈ 50.3 square inches.
    • BIncorrect. That uses the diameter as the radius.
    • CIncorrect. That is the circumference.
    • DIncorrect. That is the diameter squared.

  4. Question 4

    An engine cylinder has a 5-inch bore and a 4-inch stroke. What is its displacement?

    • AAbout 19.6 cubic inches
    • BAbout 314 cubic inches
    • C20 cubic inches
    • DAbout 78.5 cubic inches
    Show answer and explanation

    Answer: D) About 78.5 cubic inches

    • AIncorrect. This omits the stroke.
    • BIncorrect. This uses the diameter instead of the radius.
    • CIncorrect. This multiplies bore by stroke.
    • DCorrect. π × (2.5)² × 4 ≈ 3.1416 × 6.25 × 4 ≈ 78.5 cu in.

  5. Question 5

    A right triangle has legs of 3 and 4 inches. How long is the hypotenuse?

    • A7 inches
    • B5 inches
    • C12 inches
    • D25 inches
    Show answer and explanation

    Answer: B) 5 inches

    • AIncorrect. This adds the legs.
    • BCorrect. √(3² + 4²) = √25 = 5.
    • CIncorrect. This multiplies the legs.
    • DIncorrect. That is the square of the hypotenuse.

  6. Question 6

    What is 1/16 expressed as a decimal?

    • A0.0625
    • B0.16
    • C0.625
    • D0.125
    Show answer and explanation

    Answer: A) 0.0625

    • ACorrect. 1 ÷ 16 = 0.0625.
    • BIncorrect. This reads the digits as a decimal.
    • CIncorrect. That is 5/8.
    • DIncorrect. That is 1/8.

  7. Question 7

    A square panel is 6 feet on each side. What is its area in square inches?

    • A5,184 square inches
    • B432 square inches
    • C36 square inches
    • D72 square inches
    Show answer and explanation

    Answer: A) 5,184 square inches

    • ACorrect. 36 square feet × 144 = 5,184 square inches.
    • BIncorrect. Multiply by 144, not 12.
    • CIncorrect. 36 is the area in square feet.
    • DIncorrect. Recheck the unit conversion.

  8. Question 8

    An aircraft flies 300 nautical miles in 2.5 hours. What is its average groundspeed?

    • A120 knots
    • B750 knots
    • C150 knots
    • D100 knots
    Show answer and explanation

    Answer: A) 120 knots

    • ACorrect. 300 ÷ 2.5 = 120 knots.
    • BIncorrect. Distance is divided by time.
    • CIncorrect. That divides by 2 instead of 2.5.
    • DIncorrect. That divides by 3.

  9. Question 9

    What is the volume of a cylinder with a 2-inch radius and a 10-inch height?

    • AAbout 125.7 cubic inches
    • BAbout 62.8 cubic inches
    • CAbout 40 cubic inches
    • DAbout 502.7 cubic inches
    Show answer and explanation

    Answer: A) About 125.7 cubic inches

    • ACorrect. V = πr²h = 3.1416 × 4 × 10 ≈ 125.7 cubic inches.
    • BIncorrect. The radius must be squared.
    • CIncorrect. Pi must be included.
    • DIncorrect. Use the radius, not the diameter, in the formula.

  10. Question 10

    Two meshing gears have a tooth-count ratio of 3:5 (drive gear to driven gear). The drive gear has 30 teeth. How many teeth does the driven gear have?

    • A18 teeth
    • B50 teeth
    • C90 teeth
    • D150 teeth
    Show answer and explanation

    Answer: B) 50 teeth

    Write the tooth-count ratio as a proportion: 3/5 = 30/x, so x = 50. Each ratio part is 30 ÷ 3 = 10 teeth, and the driven gear has 5 parts.

    • AIncorrect. This flips the ratio: 30 × 3/5 = 18. Because the drive gear is the smaller number (3) in the ratio, the driven gear must have more teeth than 30, not fewer.
    • BCorrect. Set up the proportion 3/5 = 30/x. Each ratio part equals 30 ÷ 3 = 10 teeth, so the driven gear has 5 × 10 = 50 teeth.
    • CIncorrect. This multiplies 30 by the drive gear's ratio number (3). The driven gear's number is 5, and each ratio part is only 30 ÷ 3 = 10 teeth.
    • DIncorrect. This multiplies 30 by 5 without first dividing by 3. It treats 30 as one ratio part when 30 actually equals three parts.

Mathematics: FAQs

How much of the AMG exam is Mathematics?

Mathematics is 8% of the AMG exam by the official exam guide's weighting, which on a 60-question form works out to roughly 5 questions. The real exam's exact split varies by form.

What does the Mathematics domain cover?

The maths a mechanic uses: arithmetic, algebra, geometry and conversions.

How should I study Mathematics for AMG?

Practise without a calculator first; speed with basic operations saves time across the test.

Where can I practise more Mathematics questions?

This page has 10 free Mathematics questions with answers. The ExamWize AMG question bank has 48 questions in this domain. Every practice exam result breaks your score down by domain, and Review Mode re-drills the questions you missed.

Other AMG topics

Also: 15 free questions across all topics, the AMG cheat sheet and the study guide.

Get Mathematics exam-ready

The full AMG bank has 48 Mathematics questions. Timed practice exams match the real exam's length and domain weights, every result shows your score per domain, and Review Mode re-drills the questions you missed.

See the full AMG practice examsTake the free diagnostic

Not affiliated with FAA; questions are original, written from the official exam outline, and never copied from the real exam.