Mathematical Reasoning and Number Facility Flashcards

A police precinct has 5 patrol cars. Each uses an average of 38 gallons of fuel per week at $3.85 per gallon. What is the total fuel cost for all cars over a 4-week month?

Answer: $2,926

Weekly cost per car = 38 × $3.85 = $146.30; total = $146.30 × 5 × 4 = $2,926.

An exam has 80 questions and a candidate answers 65 correctly. What percentage of questions did the candidate answer correctly, rounded to the nearest whole percent?

Answer: 81%

65 ÷ 80 = 0.8125 = 81.25% ≈ 81%.

A city employee earning $52,800 per year receives a 4.5% raise. What is the new annual salary?

Answer: $55,176

$52,800 × 1.045 = $55,176.

A building inspector can inspect 6 apartments per hour. A complex has 138 apartments. How many full 8-hour workdays does the inspection require?

Answer: 3 days

Daily capacity = 6 × 8 = 48; 138 ÷ 48 = 2.875 → rounds up to 3 full workdays.

A supply room has 12 reams of paper (500 sheets each). A department uses 150 sheets per day. How many days will the supply last?

Answer: 40 days

Total sheets = 12 × 500 = 6,000; 6,000 ÷ 150 = 40 days.

An agency's monthly expenses for January through June are $145,600; $138,200; $162,400; $141,000; $155,800; and $148,000. What is the average monthly expense?

Answer: $148,500

Sum = $891,000; average = $891,000 ÷ 6 = $148,500.

A city clerk files 55 documents per hour. If she works 4 hours on Monday, 3 hours on Tuesday, and 5 hours on Wednesday, how many total documents does she file over those three days?

Answer: 660

Total hours = 4 + 3 + 5 = 12; 12 × 55 = 660 documents.