Mathematical Reasoning Flashcards

A supervisor earns $62,400 per year. If she receives a 4.5% raise, what will her new annual salary be?

Answer: $65,208

Raise = 0.045 × $62,400 = $2,808; new salary = $62,400 + $2,808 = $65,208.

A city park covers 3.6 square miles. If 1 square mile equals 640 acres, how many acres does the park cover?

Answer: 2,304 acres

3.6 × 640 = 2,304 acres.

A police officer works a 12-hour shift and patrols 3 precincts equally. If total patrol time is 9 hours (the rest is administrative), how many hours does she spend patrolling each precinct?

Answer: 3 hours

9 patrol hours ÷ 3 precincts = 3 hours per precinct.

A city orders 500 office chairs at $87 each. It receives a 12% bulk discount. What is the total cost after the discount?

Answer: $38,280

Original cost = 500 × $87 = $43,500; discount = 12% of $43,500 = $5,220; final = $43,500 – $5,220 = $38,280.

If a rectangular office room is 24 feet long and 18 feet wide, what is its area in square feet?

Answer: 432 sq ft

Area = length × width = 24 × 18 = 432 square feet.

A transit bus carries 48 passengers on its first trip, 52 on its second, 39 on its third, and 61 on its fourth. What is the total passenger count across all four trips?

Answer: 200

48 + 52 + 39 + 61 = 200 total passengers.

A city employee earns $22.50 per hour and works 40 hours per week. If overtime pay is 1.5 times the regular rate for any hours beyond 40, what does the employee earn in a week with 46 hours worked?

Answer: $1,102.50

Regular pay = 40 × $22.50 = $900; overtime = 6 × ($22.50 × 1.5) = 6 × $33.75 = $202.50; total = $1,102.50.