Police Math Scenario-Based Word Problems Questions and Answers

Question 1

Officer Chen works a standard 40-hour week at a rate of $30 per hour.
Any hours worked beyond 40 are paid at an overtime rate of 1.5 times the regular rate.
During a holiday week, she worked a total of 48 hours and also received a flat $200 holiday bonus.
What were her total gross earnings for that week?

Accepted Answer

$1,760

Answer

$1,560

Answer

$1,640

Answer

$2,360

Question 2

A police department receives a community policing grant of $150,000. They allocate 30% to new surveillance equipment and 45% to officer training programs. From the remaining funds, they spend $12,500 on community outreach events. How much money from the grant is left unspent?

Accepted Answer

$25,000

Answer

$37,500

Answer

$125,000

Answer

$12,500

Question 3

A patrol car has a 16-gallon fuel tank and averages 22 miles per gallon (MPG). An officer's standard patrol route is 44 miles long. If the officer starts with a full tank of gas, how many complete patrol routes can they finish before the tank is empty?

Accepted Answer

8 routes

Answer

7 routes

Answer

9 routes

Answer

16 routes

Question 4

An officer analyzes the response times for the last six emergency calls. The times, recorded in minutes, are: 11, 7, 14, 6, 18, 5. What is the median response time?

Accepted Answer

9 minutes

Answer

10 minutes

Answer

10.2 minutes

Answer

7 minutes

Question 5

An evidence locker contains 180 sealed packages of narcotics with an average weight of 400 grams per package. An additional package weighing 780 grams is added to the locker. Which of the following is the new average weight of all the packages?

Accepted Answer

402 grams

Answer

400 grams

Answer

590 grams

Answer

404 grams

Question 6

A precinct requires a minimum of 12 officers on duty. The staffing for Wednesday is as follows:
- Day Shift: 16 officers scheduled, but 25% are out sick.
- Evening Shift: 15 officers scheduled, but 3 call out sick.
- Night Shift: 14 officers scheduled, but 3 call out sick.
Which of the following shifts failed to meet the minimum staffing requirement?

Accepted Answer

Night Shift

Answer

Day Shift

Answer

Evening Shift

Answer

None of the shifts