### Math Practice Problems and Study Guides for Examinations

Looking for resources to help prepare for upcoming examinations? Study guides and manuals are available through the Ontario Water and Wastewater Certification Office (OWWCO) Bookstore linked below.

OWWCO Examination Study Guide Store

Many operators seek out additional resources for study purposes. For your convenience, some links have been provided below. These resources are intended to help operators prepare for exams and are not intended to replace the appropriate training and experience an operator should have. These resources will not completely cover all exam subject areas.

**Formula and Conversion Tables**

NESC Technical Brief – Basic Water and Wastewater Formulas

**Water Math**

Chemical Dosing Math Problem – Example 1

Chemical Dosing Math Problem – Example 2

Chemical Dosing Math Problem – Example 3

Chlorine Contact Time Calculations

Geometry Math – Example 1 Cylinder (Pipe)

Geometry Math – Example 1 Cylinder (Tank)

Geometry Math – Example 1 Rectangle (Tank)

Geometry Math – Example 2 Cylinder (Tank)

Geometry Math – Example 2 Rectangle (Tank)

Operator-in-Training Math Practice Quiz 1

Operator-in-Training Math Practice Quiz 2

Operator-in-Training Math Practice Quiz 3

Operator-in-Training Math Practice Quiz 4

Operator-in-Training Math Practice Quiz 5

Operator-in-Training Math Practice Quiz 6

Operator-in-Training Math Practice Quiz 7

Operator-in-Training Math Practice Quiz 8

Operator-in-Training Math Practice Quiz 9

Operator-in-Training Math Practice Quiz 10

Operator-in-Training Math Practice Quiz 11

Operator-in-Training Math Practice Quiz 12

Problem Solved: Calculating Tank Volume – Water Treatment, Distribution System and Wastewater Math

Problem Solved: Calculating Trench Volume – Distribution System Math

Problem Solved: Calculating Volume Removed – Distribution System Math

Problem Solved: Chemical Dose with Chlorine Tablets – Water Treatment Math

Problem Solved: Chemical Per Day Formula – Distribution System Math

Problem Solved: Chlorine Demand – Distribution System Math

Problem Solved: Chlorine Dose – Water Treatment

Problem Solved: Chlorine Per Day – Distribution Math

Problem Solved: Detention Time – Water Treatment

Problem Solved: Flow Rate Formula – Water Treatment, Distribution and Wastewater Math

Problem Solved: Chemical Blending – Water Treatment

Problem Solved: Chemical Solutions – Water Treatment

Water Math Bonus – Specific Capacity & Detention Time

Water Math Bonus – Surface Loading Rate & Unit Filter Run Volume

Water Math: Calculating Water Level – Texas Class B

Water Math: Calculate Volume in Gallons – Texas Class D

Water Math: Chlorine Demand – Texas Class C

Water Math: Chlorine Demand – Texas Class D

Water Math: Chlorine Dosage (lbs per day) – Texas Class D

Water Math: Chlorine Dosage – Texas Class D

Water Math: Dirt Removal – Texas Class C

Water Math: Feet of Head – Texas Class C

Water Math: Feet of Head – Texas Class D

Water Math: Gallons to Tons Conversion – Texas Class C

Water Math: GPD to MGD – Texas Class C

Water Math: GPM to MGD – Texas Class D

Water Math: Meter Calculations – Texas Class C

Water Math: MGD Flow from Multiple Wells – Texas Class B

Water Math: MGD to GPM – Texas Class C

Water Math: MGD to GPM – Texas Class D

Water Math: Pipe Volume Calculation – Texas Class C

Water Math: Sections of Pipe Required – Texas Class D

Water Math: Static Water Level – Texas Class B

Water Math: Stock Solution – Texas Class B

Water Math – Tank Capacity – Texas Class C

Water Math: Well Drawdown – Texas Class C

Water Math: Well Drawdown – Texas Class D

Water Math: Well Production – Texas Class C

WSO Water Treatment Grade 1: Operator Math 1, Ch. 2

WSO Water Treatment Grade 2: Operator Math: Volume Measurement, Ch. 2

**Wastewater Math**

California Grade 1 Wastewater Math

California Grade 2 Wastewater Math

California Grade 3 Wastewater Math

California Grade 4 & 5 Wastewater Math

Digester Loading Rate Calculation

How-to Use Excel for Calculations and Conversions for Wastewater Math – Wastewater Dan videos

Intro to Velocity Calculations and Hydraulic Retention Time – Part 1

Intro to Velocity Calculations and Hydraulic Retention Time – Part 2

Intro to Velocity Calculations and Hydraulic Retention Time – Part 3

Intro to Velocity Calculations and Hydraulic Retention Time – Part 4

Intro to Velocity Calculations and Hydraulic Retention Time – Part 5

Intro to Velocity Calculations and Hydraulic Retention Time – Part 6

Problem Solved: BOD – Wastewater Math

Problem Solved: BOD Removal Efficiency – Wastewater Math

Problem Solved: Calculating Tank Volume – Water Treatment, Distribution System and Wastewater Math

Problem Solved: Calculating VS Pumped to a Digester – Wastewater Math

Problem Solved: Chlorinator Feed Rate – Wastewater Math

Problem Solved: DAF Solid Loading Rate – Wastewater Math

Problem Solved: Detention Time – Wastewater Math

Problem Solved: Energy Savings Due to Pump Efficiency – Wastewater Math

Problem Solved: Flow Rate Formula – Water Treatment, Distribution and Wastewater Math

Problem Solved: Flow Rate (Gr. 1) – Wastewater Math

Problem Solved: Flow Rate (Gr. 3) – Wastewater Math

Problem Solved: Grit Removal Rate – Wastewater Math

Problem Solved: Heat Value BTUs – Wastewater Math

Problem Solved: MCRT – Wastewater Math

Problem Solved: MLSS – Wastewater Math

Problem Solved: Organic Loading – Wastewater Math

Problem Solved: Oxygen Transfer to Water – Wastewater Math

Problem Solved: Percent Solids Recovery – Wastewater Math

Problem Solved: Pond Hydraulic Loading – Wastewater Math

Problem Solved: Price Per Day Calculation – Wastewater Math

Problem Solved: Pump Discharge Rate – Wastewater Math

Problem Solved: Suspended Solid Weight Per Day – Wastewater Math

Problem Solved: Volatile Solids Reduction – Wastewater Math

Problem Solved: Volume – Wastewater Math

Pump Run Time to Reduce Mixed Liquor Suspended Solids (MLSS) Calculation

Volatile Suspended Solids Loading Rate to Anaerobic Digester Calculation

Wastewater Calculations – Problem of the Day

**Sample Exam Questions and Study Guides**

Sample Exam Questions and Recommended References for ABC’s Very Small Water System Exam

Sample Exam Questions for ABCs Computerized Exams

Water Plant Operator Training Program – Operator-in-Training

Water Plant Operator Training Program – Class 1 Certification

Operator-in-Training Practice Quiz 1

Operator-in-Training Practice Quiz 2

Operator-in-Training Practice Quiz 3

Test Your Knowledge of Centrifugal Pumps – Certification Quiz

Water Distribution Class 1 – Install Units Quiz

Water Distribution Class 1 – Monitor Water Quality Quiz

Water Distribution Class 1 – Operate and Maintain Equipment Quiz

Water Distribution Class 1 – Perform Administrative Duties Quiz

Water Distribution Class 1 – Safety Quiz

Water Distribution Class 1 – System Design Quiz

Water Treatment Class 1 – Evaluate and Maintain Equipment Quiz

Water Treatment Class 1 – Evaluate Characteristics of Source Water Quiz

Water Treatment Class 1 – Laboratory Analysis Quiz

Water Treatment Class 1 – Monitor, Evaluate and Adjust Treatment Processes Quiz

Water Treatment Class 1 – Operate Equipment Quiz

Water Treatment Class 1 – Perform Administrative Duties Quiz

Water Treatment Class 1 – Safety and Emergency Preparedness Quiz

**Theory **

Backflow, Backpressure and Backsiphonage

Disinfection Breakpoint Chlorination

Project Management: Mission and Vision

Project Management: Planning the Project

Project Management: Steps in Managing a Project

Project Management: The Role of a Project Manager

Project Management: Work Breakdown Structure

Reduced Pressure Zone (RPZ) Valve – Backflow Prevention

Wastewater Collection: Method of Conveyance

Wastewater Treatment: Data and Records

Wastewater Treatment: Flow Equalization

Wastewater Treatment: Odour Control Methods

Wastewater Treatment: Preliminary Treatment

Wastewater Treatment: Grit Removal

Water Collection System: Design, Layout and System Capacity

Water Collection System: Low Pressure System Components

Water Collection System: System Components

Water Distribution: Backflow Prevention

Water Distribution: Cross Connection Control

Water Distribution: Fire Hydrant Parts and Classification

Water Distribution: Hydrant Installation and Types of Fire Hydrants

Water Distribution: Pipe Joints

Water Distribution: Pipe Material

Water Distribution: System Design and Layout

Water Distribution: Valve Modes of Operation

Water Distribution: Valve Types

Water Treatment: Chemical Feed Equipment and Flash Mixing

Water Treatment: Coagulant Aids

Water Treatment: Coagulation Chemistry Basics

Water Treatment: Coagulation Flocculation Basics

Water Treatment: Coagulation Process Operation and Jar Testing

Water Treatment: Flocculation Process Operation

Water Treatment: Well Construction

Water Utility Management: Project Management