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Applied Technical Mathematics Flashcards

6 cards from real NOCTI practice questions. Tap to flip, then mark Knew It or Still Learning โ€” missed cards come back until you master them.

Read the first 6 Applied Technical Mathematics flashcards as text
  1. A pipe with an outer diameter of 4 inches has a wall thickness of 0.25 inches. What is the inner diameter?

    Answer: 3.5 inches

    The inner diameter equals the outer diameter minus twice the wall thickness: 4 - (2 x 0.25) = 4 - 0.5 = 3.5 inches.

  2. Convert 3/8 inch to its decimal equivalent.

    Answer: 0.375 inches

    Divide the numerator by the denominator: 3 divided by 8 = 0.375 inches.

  3. What is the area of a circle with a radius of 7 inches? (Use pi approximately equal to 3.14)

    Answer: 153.86 square inches

    Area of a circle = pi times r squared = 3.14 x 49 = 153.86 square inches.

  4. A staircase has a total rise of 9 feet. If each riser is 7.5 inches tall, how many risers are needed?

    Answer: 14

    Convert 9 feet to inches: 9 x 12 = 108 inches. Then divide by riser height: 108 divided by 7.5 = 14.4, which rounds to 14 risers.

  5. What is 15% of 240?

    Answer: 36

    15% of 240 = 0.15 x 240 = 36.

  6. A rectangular concrete slab measures 12 feet long, 8 feet wide, and 4 inches thick. How many cubic feet of concrete are needed?

    Answer: 32 cubic feet

    Convert 4 inches to feet: 4/12 = 0.333 feet. Volume = 12 x 8 x 0.333 = 32 cubic feet.