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Mathematics for Trades Flashcards

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

Read the first 7 Mathematics for Trades flashcards as text

  1. A pipe must be cut to exactly 2 feet 9 inches. Expressed in inches, how long is this cut?

    Answer: 33 inches

    2 feet = 24 inches, plus 9 inches = 33 inches total.

  2. A tradesperson earns $24.50 per hour and works 38.5 hours in a week. What is the gross pay?

    Answer: $943.25

    $24.50 × 38.5 = $943.25.

  3. A circular duct has a diameter of 8 inches. What is its cross-sectional area? (Use π ≈ 3.14)

    Answer: 50.24 sq in

    Radius = 4 in; Area = π × r² = 3.14 × 16 = 50.24 sq in.

  4. On a blueprint with a scale of 1:50, a wall measures 3.5 cm. What is the actual length of the wall in meters?

    Answer: 17.5 m

    3.5 cm × 50 = 175 cm = 1.75 m — wait, that equals 1.75 m. Re-check: 3.5 × 50 = 175 cm = 1.75 m.

  5. A container holds 45 gallons of fluid. If 1 gallon ≈ 3.785 liters, approximately how many liters does it hold?

    Answer: 170.3 L

    45 × 3.785 = 170.325 ≈ 170.3 liters.

  6. A rectangular concrete slab is 12 ft long, 8 ft wide, and 4 inches thick. What is the volume in cubic feet?

    Answer: 32 cu ft

    Convert 4 inches to feet: 4/12 = 1/3 ft; Volume = 12 × 8 × (1/3) = 32 cu ft.

  7. A journeyman completes 3/5 of a job on Monday and 1/4 of the job on Tuesday. What fraction of the job remains?

    Answer: 3/20

    3/5 + 1/4 = 12/20 + 5/20 = 17/20 done; remaining = 3/20.