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Level II sample questions

Math and Calculations Practice Questions for Washington Level II

5 free sample questions on math and calculations for the Washington Level II wastewater treatment operator exam. Try each one, then open the answer to read the explanation.

  1. Question 1

    A rectangular tank is 40 feet long, 20 feet wide, and contains 12 feet of water. Using 7.48 gallons per cubic foot, approximately how many gallons does it contain?

    1. 5,984 gallons
    2. 9,600 gallons
    3. 71,808 gallons
    4. 718,080 gallons
    Show the answer

    Answer: C. 71,808 gallons

    Multiply length, width, and water depth to obtain cubic feet, then convert cubic feet to gallons. Calculation: 40 × 20 × 12 × 7.48 = 71,808 gallons.

  2. Question 2

    A plant treats 2.0 MGD with a chemical dose of 3.0 mg/L. Using 8.34, approximately how many pounds of chemical are applied per day?

    1. 6.0 lb/day
    2. 16.7 lb/day
    3. 50.0 lb/day
    4. 100.1 lb/day
    Show the answer

    Answer: C. 50.0 lb/day

    Pounds per day equals flow in MGD multiplied by dose in mg/L and 8.34. Calculation: 2.0 × 3.0 × 8.34 = 50.04 ≈ 50.0 lb/day.

  3. Question 3

    A 30-minute settleometer result is 240 mL/L, and the MLSS concentration is 3,000 mg/L. What is the sludge volume index?

    1. 12.5 mL/g
    2. 80 mL/g
    3. 240 mL/g
    4. 720 mL/g
    Show the answer

    Answer: B. 80 mL/g

    SVI is the settled-sludge volume in mL/L multiplied by 1,000 and divided by MLSS in mg/L. Calculation: (240 × 1,000) ÷ 3,000 = 80 mL/g.

  4. Question 4

    A clarifier receives 1.8 MGD and has 600 feet of total effluent-weir length. What is its weir overflow rate?

    1. 3 gpd/ft
    2. 300 gpd/ft
    3. 3,000 gpd/ft
    4. 30,000 gpd/ft
    Show the answer

    Answer: C. 3,000 gpd/ft

    Weir overflow rate equals total daily flow divided by the total effective weir length. Calculation: 1,800,000 gpd ÷ 600 ft = 3,000 gpd/ft.

  5. Question 5

    An aeration basin contains 2.0 MG at an MLSS concentration of 2,500 mg/L. The plant removes 4,000 lb/day in waste sludge and loses 200 lb/day in the effluent. Using 8.34, what is the approximate mean cell residence time?

    1. 5.0 days
    2. 9.9 days
    3. 10.4 days
    4. 19.9 days
    Show the answer

    Answer: B. 9.9 days

    MCRT equals the solids inventory in the treatment system divided by the daily solids leaving through wasting and effluent. Calculation: 2.0 × 2,500 × 8.34 = 41,700 lb`; `41,700 ÷ (4,000 + 200) = 9.93 ≈ 9.9 days.

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Operator Master has 21 Level II math and calculations questions, free, with an explanation after every answer.

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More topics

Other Level II Topics

  • Plant Operations35 questions
  • Pumps and Hydraulics18 questions
  • Biological Treatment11 questions
  • Laboratory9 questions
  • Disinfection7 questions
  • Solids Handling7 questions
  • Secondary Clarification5 questions
  • Primary Treatment3 questions
  • Grit Removal2 questions
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