Wastewater Math Formulas

Reference guides and worked examples for the math formulas you need to pass your wastewater operator certification exam.

Math is one of the biggest hurdles on wastewater operator certification exams. Whether you're calculating Sludge Volume Index (SVI), Food-to-Microorganism (F/M) ratio, or detention time, you need to know the formulas and how to apply them under exam conditions.

Each guide below breaks down a formula with a clear definition, the equation, units, a worked example, and common exam traps to watch out for.

Formula8 min read

Hydraulic Loading Rate Formula for Trickling Filters

Master the hydraulic loading rate formula for trickling filters with worked examples, HLR ranges, and tips to avoid exam traps.

Formula7 min read

Weir Overflow Rate Formula: Clarifier Calculation

Master the weir overflow rate formula with step-by-step worked examples and exam tips to avoid confusing it with surface overflow rate.

Formula11 min read

Pump Head Calculation: Total Dynamic Head Formula

Learn how to calculate total dynamic head (TDH) for wastewater pumps. Step-by-step formula, worked example, and common exam traps.

Formula9 min read

SRT Formula: How to Calculate Mean Cell Residence Time

Master the SRT formula for wastewater with step-by-step MCRT calculation examples. Same concept, three names - clear it up before exam day.

Formula8 min read

BOD Removal Efficiency Formula: Calculate Percent Removal

Master the BOD removal efficiency formula with step-by-step examples, common exam traps, and tips to nail percent removal calculations.

Formula8 min read

Sludge Volume Index Formula: How to Calculate and Interpret SVI

Master the sludge volume index formula with step-by-step examples. Learn SVI calculation, interpretation ranges, and common exam traps.

Formula9 min read

Pounds Formula Wastewater: Math You Must Know for the Exam

Master the pounds formula (lbs = concentration × flow × 8.34) with worked examples, unit tips, and common exam traps.

Formula8 min read

Chlorine Dosage Formula: Dose, Demand, and Residual

Master the chlorine dosage formula (Dose = Demand + Residual) with worked examples and exam tips for wastewater operator certification.

Formula9 min read

Detention Time Calculation for Wastewater Operators

Master the detention time calculation with worked examples, unit conversions, and exam tips. HRT formula made simple for your certification exam.

Formula7 min read

Surface Overflow Rate Formula: Clarifier Design Calculation

Master the surface overflow rate formula for clarifier design. Step-by-step SOR calculation with unit conversions and exam tips.

Formula9 min read

F:M Ratio Formula: How to Calculate It Step by Step

Learn the F:M ratio formula with worked examples, unit conversions, and exam tips. Master food-to-microorganism ratio calculations for your certification exam.