Monday, July 13, 2009

Introductory-Level Math Practice Test

1. A water treatment plant uses a ferric sulfate dosage of 50 mg/l on Monday, 42 mg/l on Tuesday, 60 mg/l on Wednesday, 56 mg/l on Thursday, and 52 mg/l on Friday. What was the plant's average ferric sulfate dosage for this five-day period?

A. 51 mg/l
B. 52 mg/l
C. 53 mg/l
D. 54 mg/l

2. How many pounds of sodium hydoxide will a water treatment plant use if the plant treats 25 million gallons of water with a dosage of 17 ppm?

A. 1459.5 lbs.
B. 4595.8 lbs.
C. 3544.5 lbs.
D. 1514.3 lbs

3. How many gallons of water will a standpipe hold if the standpipe has an inside diameter of ten feet and a fill-height of sixty feet?

A. 157,126 gallons
B. 118,840 gallons
C. 314,000 gallons
D. 35,231 gallons

4. How is the fraction 1/25 written in decimal form?

A. .025
B. .25
C. .04
D. .60

5. What is a water treatment plant's sodium hydroxide dosage if the plant uses 2000 pounds of sodium hydroxide to treat 12 MG of water?

A. 15 mg/l
B. 20 mg/l
C. 25 mg/l
D. 30 mg/l

6. How is 3,015,000 gallons written in million-gallon notation?

A. 3.015 MG
B. 3.150 MG
C. 3.0015 MG
D. None of the above

7. How much pressure will a 70-foot column of water exert at its base?

A. 70 psi
B. 231 psi
C. 50 psi
D. 30 psi

8. How many gallons of water can be held in an 80-foot length of 12" stainless steel piping?

A. 537.6 gallons
B. 314.2 gallons
C. 469.7 gallons
D. 246.3 gallons

9. How many gallons of water can be dosed with 3000 pounds of alum if the alum is applied at a dosage of 45 ppm?

A. 5 MG
B. 8 MG
C. 10 MG
D. 12 MG

10. How many pounds of lime will be required to dose 19,000,000 gallons of water with a lime dosage of 3.5 mg/l?

A. 555 pounds
B. 612 pounds
C. 437 pounds
D. 296 pounds

11. What is a water treatment plant's orthophosphate dosage if the plant uses 200 pounds of orthophosphate to treat 24 million gallons of water?

A. .75 mg/l
B. 1.5 mg/l
C. 2.0 mg/l
D. 1.0 mg/l

12. How is 32 percent written in decimal form?

A. 32.0
B. .032
C. .32
D. .302

13. How many pounds of alum will a water treatment plant use to dose 36,000,000 gallons of water with a dosage of 58 ppm?

A. 12,312 lbs.
B. 17,414 lbs.
C. 10,221 lbs.
D. 19,642 lbs.

14. What is the detention time in a basin if the basin holds 200,000 gallons of water, and the flow through the basin is 1.2 MGD?

A. 4 hours
B. 3 hours
C. 6 hours
D. None of the above

15. What is a water treatment plant's filtration rate if the plant has eight 12' x 16' mixed-media filters, and the flow through the plant is 6144 gpm?

A. 2 gpm/ft2
B. 3 gpm/ft2
C. 4 gpm/ft2
D. 5 gpm/ft2


ANSWERS: 1. B; 2. C; 3. D; 4. C; 5. B; 6. A; 7. D; 8. C; 9. B; 10. A; 11. D; 12. C; 13. B; 14. A; 15. C

Sunday, July 12, 2009

Introductory-Level Math Practice Test

1. A large sedimentation basin measures 12 feet wide by 40 feet deep by 125 feet long. How many cubic feet of space are in the basin?

A. 6,000 cubic feet
B. 6,000,000 cubic feet
C. 60,000 cubic feet
D. 600,000 cubic feet

2. A water treatment plant ran an average flow of 2082 gpm for a continuous 12-hour period. How many gallons of water did the plant run during this period?

A. 1.499 MG
B. 1,499,040 gallons
C. 3 MGD
D. 1,510,652 gallons

3. A flocculation basin is 40 feet long by 10 feet wide by 11 feet deep. How many gallons of water will the basin hold?

A. 3,291 gallons
B. 329,120 gallons
C. 3.29 MG
D. 32,912 gallons

4. A water treatment plant produced 14.55 MG of water on Monday, 17.69 MG of water on Tuesday, 12.71 MG of water on Wednesday, and 19.3 MG of water on Thursday. What was the plant's average daily water production for this four-day period?

A. 16.06 MG
B. 15.57 MG
C. 14.08 mg
d. 16.49 MG

5. An 8-foot by 10-foot anthracite filter is filtering 310 gpm of water. What is the filtration rate of the filter?

A. 2.5 gallons per square foot per minute
B. 3.9 gallons per cubic foot per minute
C. .258 gallons per square foot per minute
D. 3.9 gallons per square foot per minute

6. How many cubic inches are in a 10-foot length of 3-inch pvc piping?

A. 84.8
B. 8,480
C. 848
D. None of the above

7. What is the detention time in an 8-foot by 90-foot by 25-foot basin if the flow through the basin is 490 gpm?

A. 2.75 hours
B. 4.58 hours
C. 3.19 hours
D. 4.90 hours

8. What is a water treatment plant's alum dosage if the plant uses 2075 pounds of alum to treat 5,400,000 gallons of water?

A. 36 mg/l
B. 46 mg/l
C. 54 mg/l
D. 4.6 mg/l

9. How many pounds of zinc orthophosphate will a water treatment plant use if the plant uses a dosage of 1.75 ppm to treat 9,570,000 gallons of water?

A. 14 pounds
B. 104 pounds
C. 140 pounds
D. 10.4 pounds

10. How many gallons of water can be treated by 1000 pounds of caustic at a dosage of 16 mg/l?

A. 65.25 MG
B. 3.64 MG
C. 7.49 MG
D 13.77 MG

11. What is its lime dosage if a water treatment plant uses 85 pounds of lime to treat 3,200,000 gallons of water?

A. 2.3 ppm
B. 3.9 ppm
C. 7.4 ppm
D. 3.2 ppm

12. How many pounds of coagulant-aid polymer will be needed to dose 50 MG of water with a 1.0 mg/l dosage?

A. 41.7 pounds
B. 100 pounds
C. 417 pounds
D. 1000 pounds

13. What is the basin overflow rate for a 9-foot wide by 50-foot long sedimentation basin if the flow through the basin is 329 gpm?

A. 1.37 gallons per square foot per minute
B. .73 gallons per square foot per minute
C. 1.73 gallons per square foot per minute
D. .37 gallons per square foot per minute

14. What is the water pressure at the base of a standpipe containing 115.5 feet of water?

A. 20 psi
B. 115.5 psi
C. 80 psi
D. 50 psi

15. How many gallons of water will a circular basin hold if it has a 30-foot diameter and a 15-foot height?

A. 366,000 gallons
B. 79,269 gallons
C. 34,636 gallons
D. 45,583 gallons


ANSWERS: 1. C; 2. B; 3. D; 4. A; 5. D; 6. C; 7. B; 8. B; 9. C; 10. C; 11. D; 12. C; 13. B; 14. D; 15. B

Saturday, July 11, 2009

Poundage/Dosage Pie Chart


This is the standard poundage/dosage pie chart that most students are given at water treatment operator certification school. This chart may prove helpful in solving the practice test problems on this website.


Lbs. = mg/l x MG x 8.34

Friday, July 10, 2009

Introductory-Level Math Practice Test

*************
This practice test involves the usage of the chemical poundage /chemical dosage formula. In all likelihood, fifty percent of the math questions on any introductory-level water treatment facility operator exam will involve the calculation of chemical poundage and chemical dosages.


lbs. = MG x ppm x 8.34

MG = lbs. / ppm x 8.34

ppm = lbs. / MG x 8.34


1. How many gallons of water will 5000 pounds of ferric sulfate treat at a dosage of 40 ppm?

A. 25 MG
B. 15 MG
C. 30 MG
D. 35 MG

2. What is a water treatment plant's NaOH dosage if the plant uses 1000 pounds of NaOH to treat ten million gallons of water?

A. 8 mg/l
B. 10 mg/l
C. 12 mg/l
D. 15 mg/l

3. How many pounds of alum must be used to treat 20 million gallons of water with an alum dosage of 34 parts-per-million?

A. 2744 lbs.
B. 1360 lbs.
C. 8253 lbs.
D. 5671 lbs.

4. What is a water treatment plant's sodium polyphosphate dosage if the plant uses 125 pounds of sodium polyphosphate to treat ten million gallons of water?

A. 1.0 ppm
B. 1.5 ppm
C. 2.0 ppm
D. 2.5 ppm

5. How many pounds of coagulant-aid polymer must be used to treat sixteen million gallons of water to obtain a coagulant-aid polymer dosage of .75 mg/l?

A. 100 pounds
B. 200 pounds
C. 300 pounds
D. 400 pounds

6. How many gallons of water can be treated with 825 pounds of caustic soda if the caustic soda is used at a dosage of 15 ppm?

A. 4.4 MG
B. 5.9 MG
C. 6.6 MG
D. 7.0 MG

7. What is a water treatment plant's ferric sulfate dosage if the plant uses 2450 pounds of ferric sulfate to treat 12,500,000 gallons of water?

A. 17.2 mg/l
B. 23.5 mg/l
C. 30.7 mg/l
D. 48.6 mg/l

8. How many pounds of lime are needed to treat 10 MG of water with a lime dosage of 5 mg/l?

A. 310 lbs.
B. 507 lbs.
C. 471 lbs.
D. 417 lbs.

9. How many gallons of water will 3835 pounds of alum dose if the alum is used at a dosage of 65 ppm?

A. 4,731,955 gallons
B. 2,445,000 gallons
C. 7,074,341 gallons
D. 6,258,029 gallons

10. How many pounds of zinc orthophosphate will be needed to treat 32 million-gallons of water with a dosage of 1.4 mg/l?

A. 374 pounds
B. 320 pounds
C. 140 pounds
D. 260 pounds

ANSWERS: 1. B; 2. C; 3. D; 4. B; 5. A; 6. C; 7. B; 8. D; 9. C; 10. A

Thursday, July 9, 2009

Introductory-Level Math Practice Test

1. A circular clearwell has a diameter of 60 feet. How many gallons of water are in the clearwell if the clearwell water level is 12 feet?

A. 2,536,618 gallons
B. 253,662 gallons
C. 1,268,309 gallons
D. 378,415 gallons

2. A water line maintenance crew much isolate and drain 100 yards of a raw water intake line in order to repair the line. If the water line has an inside diameter of 2 feet, how many gallons of water will the line contain within the 100-yard section of line that must be drained?

A. 18,352 gallons
B. 917 gallons
C. 4,688 gallons
D. 7,046 gallons

3. How many cubic inches of space are in a one cubic-foot empty box?

A. 854 cubic inches
B. 90 cubic inches
C. 1,728 cubic inches
D. 144 cubic inches

4. If a water treatment plant produces 6,132,960 gallons of finished water in twenty-four hours, what is the plant's average gpm production during this period?

A. 4259 gpm
B. 3780 gpm
C. 6133 gpm
D. 2271 gpm

5. If a water treatment plant checks finished turbidity every four hours, and the plant records a day's finished turbidity readings of .07 NTU, .11 NTU, .10 NTU, .08 NTU, .13 NTU, and .11 NTU, what is the plant's average finished turbidity for the day?

A. .09 NTU
B. .10 NTU
c. .11 NTU
D. .12 NTU

6. A water treatment plant is experiencing a dirty-water event because of unusually high levels of rainfall. During the worst day of the event, the plant produces 4,525,620 gallons of finished water, while expending 85,543 gallons of this water as backwash water. What is the plant's "percent backwash" for this day?

A. 1.24 percent
B. .86 percent
C. 2.13 percent
D. 1.89 percent

7. How is the fraction 1/20 written in decimal form?

A. .0020
B. .020
C. .05
D. .005

8. How is 90,000 gallons written in million-gallon notation?

A. .90 MG
B. .09 MD
C. .009 MG
D. .0009 MG

9. How is 826,000 gallons written in million-gallon notation?

A. .0826 MG
B. 8.260 MG
C. .00826 MG
D. .826 MG

10. A sedimentation basin holds 1,250,000 gallons of water. If the flow through the plant is 4 MGD, what is detention time through the basin?

A. 7.5 hours
B. 5.5 hours
C. 6.25 hours
D. 4.25 hours

11. A water treatment plant has ten 16-foot x 14-foot mixed-media filters. If the flow through the plant is 11.5 MGD, what is the plant's filtration rate (filter loading rate)?

A. 2.9 gpm/ft2
B. 4.3 gpm/ft2
C. 3.6 gpm/ft2
D. None of the above

12. What water pressure is exerted at the base of a standpipe by a 150-foot column of water in the standpipe?

A. 65 psi
B. 45 psi
C. 150 psi
D. 433 psi

13. What water pressure is exerted at the base of a water tank by a 12-foot level of water in the tank?

A. 4.5 psi
B. 5.2 psi
C. 8.1 psi
D. 6.3 psi

14. A sedimentation basin is nine feet wide and sixty feet long. If the flow through the basin is 540 gpm, what is the overflow rate for the basin?

A. .25 gpm/ft2
B. .50 gpm/ft2
C. .75 gpm/ft2
D. 1 gpm/ft2

15. A water treatment plant uses a ferric sulfate dose of 45 mg/l on Monday, 60 mg/l on Tuesday and Wednesday, 50 mg/l on Thursday, and 55 mg/l on Friday. What is the plant's average ferric sulfate dosage for this five-day period?

A. 52 mg/l
B. 53 mg/l
C. 54 mg/l
D. 55 mg/l


ANSWERS: 1. B; 2. D; 3. C; 4. A; 5. B; 6. D; 7. C; 8. B; 9. D; 10. A; 11. C; 12. A; 13. B; 14. D; 15. C

Wednesday, July 8, 2009

Introductory-Level Math Practice Test

This is a poundage/dosage math practice test.

1. How many gallons of water will 834 pounds of sodium hydroxide treat, if the sodium hydroxide dosage is 20 mg/L?

A. 834,000 gallons
B. 20.0 million gallons
C. 5.0 million gallons
D. 1.2 million gallons

2. How many pounds of ferric sulfate will be needed to treat one million gallons of water with a ferric sulfate dosage of 70 ppm?

A. 584 pounds
B. 7000 pounds
C. 5842 pounds
D. 3086 pounds

3. How many pounds of polymer will be consumed, if the polymer is used to treat one million gallons of water with a dosage of 1.0 mg/L?

A. 1 pound
B. 8.34 pounds
C. 100 pounds
D. None of the above

4. What is a water treatment plant's zinc orthophosphate dosage, if the plant uses 8.34 pounds of zinc orthophosphate to treat one million gallons of water?

A. .5 mg/l
B. 1.0 mg/l
C. 1.5 mg/l
D. 2.0 mg/l

5. How many gallons of water will two thousand pounds of alum treat, if the alum is used at a dosage of sixty parts-per-million?

A. 1 million gallons
B. 2 million gallons
C. 3 million gallons
D. 4 million gallons

6. How many pounds of lime are needed to dose ten million gallons of water with a lime dosage of 3 mg/L?

A. 100 pounds
B. 175 pounds
C. 250 pounds
D. 325 pounds

7. What is a water treatment plant's sodium hydroxide dosage, if the plant uses five hundred pounds of sodium hydroxide to treat five million gallons of water?

A. 1 ppm
B. 5 ppm
C. 8.34 ppm
D. 12 ppm

8. How many gallons of water can be treated by 50 pounds of polymer at a polymer dosage of .5 mg/L?

A. 1,000,000 gallons
B. 5,000,000 gallons
C. 12,000,000 gallons
D. 25,000,000 gallons

9. How many pounds of ferric sulfate are needed to treat one hundred million gallons of water with a ferric sulfate dosage of seventy milligrams-per-liter?

A. 5,838 pounds
B. 58,380 pounds
C. 583,800 pounds
D. 83,800 pounds

10. How many pounds of alum will be needed to treat one-half million gallons of water with an alum dosage of 40 ppm?

A. 40.2 pounds
B. 166.8 pounds
C. 400.5 pounds
D. 500.3 pounds

ANSWERS: 1. C; 2. A; 3. B; 4. B; 5. D; 6. C; 7. D; 8. C; 9. B; 10. B