Mathematics

Study Materials

AMT-G, FAA-H-8083-30, AC 43.13-1

Typical Oral Questions

  1. What formula is used to find the area of a circle?

    A = 0.7854 × D2 or A = π × R2

  2. What formula is used to find the volume of a cylinder?

    V = 0.7854 × D2 × H.

  3. What formula is used to find the area of a rectangle?

    A = L × W

  4. What formula is used to find the volume of a rectangular solid?

    V = L × W × H

  5. What formula is used to find the area of a triangle?

    A = (B × H) ÷ 2

  6. What is the significance of the constant π?

    Pi (π) is the ratio of the circumference to the diameter of any circle.

  7. What is the value of the constant π?

    π = 3.1416

  8. What is meant by the root of a number?

    The root of a number is one of two or more equal numbers that, when multiplied together, will produce the number.

  9. What is the eighth power of 2?

    256.

  10. What is the square root of 4,096?

    64.

  11. What is meant by a negative number?

    A number less than 0, or a number that is preceded by a minus sign.

  12. What is meant by a ratio and how is a ratio expressed?

    A fraction that compares one number to another; for example, 6:2 is a ratio.

Typical Practical Projects

  1. Given a list of common fractions, convert them to decimal fractions.
  2. Given a list of decimal fractions, convert them to common fractions with the smallest whole denominator.
  3. Given the bore and stroke of an aircraft engine cylinder compute the piston displacement of one cylinder.
  4. Given the bore, stroke and clearance volume of an aircraft engine cylinder, compute the compression ratio of the cylinder.
  5. Given the span and chord of a rectangular wing, compute the area of the wing.
  6. Given the length, width and depth of a fuel tank, find the number of U.S. gallons of fuel the tank will hold.
  7. Find the square and cube of a list of numbers.
  8. Find the square root of a list of numbers.
  9. Add, subtract, multiply, and divide a list of positive and negative numbers.
  10. Add, subtract, multiply, and divide a list of common fractions.
  11. Find the number that is a given percentage of another number.
  12. Change a list of mixed numbers into improper fractions.
  13. Given the diameter of a circle, find its area.
  14. Find the number of square inches of metal needed to make an open-end cylinder having a given diameter and length.
  15. Solve a problem that involves square roots in the numerator and the square of a number in the denominator.
  16. Find the area of a trapezoid when the altitude and the length of both of the bases are given.
  17. Convert a list of common fractions into percentages.
  18. Find the speed of rotation of the shaft of a driven gear when the gear ratio and the rotational speed of the drive gear are given.

[10-2024]