Mathematical Reasoning Flashcards

A meter reader's route has 315 meters. They have read 189 meters. What percentage of the route is complete?

Answer: 60%

189 ÷ 315 = 0.60, which equals 60% of the route completed.

A district has 4,800 meters divided among 8 meter readers. Each reader is assigned an equal number. One reader calls in sick — their meters are split equally among the remaining 7. How many meters does each remaining reader now have?

Answer: 686

Each original reader had 600 meters; the sick reader's 600 are split among 7: 600 ÷ 7 ≈ 85.7 extra each, so 600 + 85.7 ≈ 685.7 ≈ 686 meters per reader.

A meter reading recorded as 7,304 last month and 7,291 this month (no rollover). What action is most appropriate?

Answer: Flag the account — a lower reading without rollover suggests a meter error or misread

A current reading lower than a prior reading without meter rollover indicates a potential misread or meter malfunction that must be flagged for investigation.

If a CCF (hundred cubic feet) of gas contains approximately 1,020 BTUs per cubic foot, how many BTUs are in 1 CCF?

Answer: 102,000

1 CCF = 100 cubic feet; 100 × 1,020 BTU/cf = 102,000 BTUs per CCF.

A meter reader reads 8 meters in 12 minutes. At this rate, how many minutes will it take to read 30 meters?

Answer: 45 minutes

Rate = 8 meters / 12 minutes = 2/3 meter per minute; time for 30 meters = 30 ÷ (2/3) = 30 × (3/2) = 45 minutes.

A utility charges $0.08 per kWh for the first 500 kWh and $0.12 per kWh for usage above 500 kWh. A customer used 750 kWh. What is their total electricity charge?

Answer: $70.00

First 500 kWh at $0.08 = $40.00; remaining 250 kWh at $0.12 = $30.00; total = $70.00.