Police Math Entrance Exam

Question 1

Stonebridge Police Department covers 465.4 square miles and has a population of approximately 1.5 million people as of 2020. How many people live in Stonebridge Police Department's 12 square miles on average?

Accepted Answer

36,676

Answer

To find the average population for a specific area, first calculate the population density per square mile by dividing the total population (1,500,000) by the total area (465.4 sq miles), which is approximately 3222.93 people/sq mile. Multiplying this density by 12 square miles results in approximately 38,675 people. The provided correct answer of 36,676 suggests a slight variation in the source data or a different rounding convention.

Question 2

The odometer on a squad car shows that the officer has driven 1,478 miles in the last 12 days. How many miles are covered in 5 days on average?

Accepted Answer

Answer

To find the average miles covered in 5 days, first determine the average miles driven per day by dividing the total miles (1,478) by the total days (12), which is approximately 123.17 miles/day. Multiplying this daily average by 5 days yields approximately 615.83 miles. Neither of the provided options (A or B) matches this calculated value.

Question 3

A theft victim was fortunate to have 40% of her stolen money returned. How much was stolen from him if he received $60?

Accepted Answer

$150

Answer

If $60 represents 40% of the stolen money, you can find the total amount by dividing the received amount by the percentage (as a decimal). So, $60 / 0.40 = $150. This means the total amount stolen was $150.

Question 4

Burglars broke into an electronics store and stole 30 global navigation systems valued at $6,750. How much does each navigation system cost on average?

Accepted Answer

$225

Answer

To find the average cost per navigation system, divide the total value of the stolen items by the number of items stolen. Dividing $6,750 by 30 navigation systems yields an average cost of $225 per system. The other options are incorrect results of this division.

Question 5

You are required to arrive as quickly as you can at the crime scene. Distance from the crime scene: 10.5 miles. You'll be able to travel at a speed of 45 miles per hour on average. How long will it take you to arrive at the scene, roughly?

Accepted Answer

14 minutes

Answer

To calculate the time taken, divide the distance by the average speed: 10.5 miles / 45 mph = 0.2333 hours. To convert this to minutes, multiply by 60 minutes/hour, which equals exactly 14 minutes. Therefore, it will take approximately 14 minutes to arrive at the scene.

Police Math Test Practice Test

Police Math Test Practice Test

Police Math Entrance Exam