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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. A pulley system has one fixed and one movable pulley. Ignoring friction, how much force is needed to lift a 200-pound load?

    Answer: 100 pounds

    A single movable pulley doubles the mechanical advantage, so only half the load force is needed: 200 ÷ 2 = 100 pounds.

  2. Solve for x: 3x + 9 = 30

    Answer: 7

    Subtract 9 from both sides: 3x = 21, then divide by 3: x = 7.

  3. Water flows through a pipe at 4 gallons per minute. How many gallons flow through in 2.5 hours?

    Answer: 600 gallons

    2.5 hours = 150 minutes; 150 minutes × 4 gal/min = 600 gallons.

  4. A spring compressed by 3 inches requires 15 pounds of force. How much force is needed to compress it 5 inches (assuming linear spring)?

    Answer: 25 pounds

    Spring rate = 15 ÷ 3 = 5 lb/inch; force for 5 inches = 5 × 5 = 25 pounds.

  5. An aircraft travels at 300 knots. Approximately how many miles per hour is this?

    Answer: 345 mph

    One knot = 1.15 mph; 300 knots × 1.15 = 345 mph.

  6. Which of the following represents the greatest mechanical advantage for lifting a heavy load?

    Answer: A ramp with a 10-degree incline

    A shallower incline (10°) provides a longer ramp for the same height, giving a greater mechanical advantage than steeper ramps or fixed pulleys.