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ASTB-E Math & Mechanical Reasoning Flashcards

6 cards from real ASTB-E practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 ASTB-E Math & Mechanical Reasoning flashcards as text

  1. If an aircraft's fuel efficiency is 8 miles per gallon and it carries 50 gallons, what is its maximum range?

    Answer: 400 miles

    Maximum range = fuel quantity × fuel efficiency = 50 gallons × 8 miles/gallon = 400 miles.

  2. A propeller completes 2,400 revolutions per minute. How many revolutions does it complete per second?

    Answer: 40

    2,400 RPM ÷ 60 seconds per minute = 40 revolutions per second.

  3. Two pistons in a hydraulic system have areas of 2 sq in and 20 sq in. If 50 pounds of force is applied to the small piston, what force does the large piston exert?

    Answer: 500 pounds

    Hydraulic mechanical advantage = area ratio = 20 ÷ 2 = 10; output force = 50 × 10 = 500 pounds.

  4. If 3/8 of a fuel tank holds 30 gallons, what is the tank's total capacity?

    Answer: 80 gallons

    If 3/8 = 30 gallons, then 1/8 = 10 gallons, and the full tank = 8 × 10 = 80 gallons.

  5. A wrench handle is 12 inches long and applies 36 foot-pounds of torque. What force is being applied to the handle?

    Answer: 36 pounds

    Torque = force × distance; converting 12 inches to 1 foot: force = 36 ft-lb ÷ 1 ft = 36 pounds.

  6. An aircraft climbs at 500 feet per minute. How long will it take to reach an altitude of 10,000 feet from sea level?

    Answer: 20 minutes

    Time = altitude ÷ climb rate = 10,000 ft ÷ 500 ft/min = 20 minutes.