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Math practice questions

27 questions from the pool operator (cpo) practice test.

Math practice test

10 questions, graded as you go, with the reason for every answer. No sign-up.

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Sample questions

A rectangular pool is 75 ft by 42 ft with a constant depth of 5 ft. Use 7.5 gallons per cubic foot. What is the volume?

Answer in gal.

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118125 gal

Volume = L x W x D x 7.5 = 75 x 42 x 5 x 7.5 = 118,125 gal.

Reference: PHTA Pool & Spa Operator Handbook, pool math: volume

A rectangular pool is 60 ft by 30 ft. It slopes evenly from 3.5 ft at the shallow end to 9.5 ft at the deep end. Use 7.5 gallons per cubic foot. What is the volume?

Answer in gal.

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87750 gal

Average depth = (3.5 + 9.5) / 2 = 6.5 ft. Volume = 60 x 30 x 6.5 x 7.5 = 87,750 gal.

Reference: PHTA Pool & Spa Operator Handbook, pool math: volume

A circular spa is 8 ft in diameter with an average water depth of 3.5 ft. Use 3.14 for pi. Use 7.5 gallons per cubic foot. What is the volume?

Answer in gal.

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1319 gal

Radius = 8 / 2 = 4 ft. Volume = 3.14 x 4 x 4 x 3.5 x 7.5 = 1,318.8 gal, about 1,319 gal.

Reference: PHTA Pool & Spa Operator Handbook, pool math: volume

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