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Level 2 · Intermediate sample questions

Math and Calculations Practice Questions for Level 2 · Intermediate

5 free sample questions on math and calculations for the Level 2 · Intermediate wastewater treatment operator exam. Try each one, then open the answer to check your work.

  1. Question 1

    A rectangular tank is 40 feet long, 20 feet wide, and contains 12 feet of water. 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. 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. 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 62 Level 2 · Intermediate math and calculations questions, free.

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More topics

Other Level 2 · Intermediate Topics

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  • Pumps and Hydraulics21 questions
  • Laboratory20 questions
  • Safety11 questions
  • Solids Handling11 questions
  • Disinfection10 questions
  • Regulations and Compliance10 questions
  • Primary Treatment8 questions
  • Secondary Clarification8 questions
  • Grit Removal4 questions
  • Headworks and Screening3 questions
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