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Police Practice Math Test | Sample MCQ Exam

Sep 8th, 2022
police practice math test

Sample Police Math Test

Take our police practice math test below. Math is one of the most difficult parts of the police written exam. Many candidates struggle because either they do not prepare in advance, or they try to “memorize” the method from similar questions and “hope for the best”.

But that’s not the right approach. It’s ineffective, too random. Instead, applicants taking the police exam should actively engage with the math problem – trying to work through the question in a step-by-step manner.

Remember, math questions are not asked to frustrate applicants. Instead, math is examined:

  • to determine your overall understanding of math and numbers
  • to establish the level of your critical thinking skills
  • to understand how you manage basic arithmetic operations

Numbers are everywhere. They are inescapable, including in a career in law enforcement. Whether you are filling out incident reports or analysing criminal reports, applicants must have a basic grasp of numbers. Not only understanding operations but also how to break down and analyse figures; to take a step back and see the bigger picture at work.

Applicants taking the police officer exam are expected to study the following topics:

  • Arithmetic – addition, multiplication, division, subtraction
  • Percentages
  • Ratios
  • Time
  • Speed
  • Units of measurement – miles, feet, inches etc.
  • How to convert from one unit to another

Remember, the police math exam is only one part of the wider written exam. The more math questions you practice, the better and more refined your understanding becomes of each math operation. The more you learn how to break down questions – answering them in a step-by-step manner – the greater your critical thinking skills will become.

Those skills are very much like a muscle. The more training, the better and stronger it becomes.

Police Practice Math Test

Below we have put together some sample police math questions for you to practice.

These practice questions are designed to give you an idea of the standard and style of exam-style questions you can expect to encounter on the day of your police exam. Work through each question, and try to eliminate some answers. That process alone can considerably improve your odds of at least guessing the correct answer if you are stuck. But if possible, try to identify the correct answer through critical thinking assessment.

Don’t worry if you don’t score 100% on the test, or if you score low. If anything, that’s expected – particularly if you are only starting out your police test study. What matters is how you react to the test result. The purpose of practice questions isn’t to see how many questions you get right. It’s about identifying and learning from mistakes. At the end of the practice math test, answer explanations will be provided. Take the time to learn where you went wrong and why, and make some study notes. Then, practice similar questions in the near future, proving you have learned from the mistake and have permanently closed that knowledge gap.

Follow this approach each week and more and more knowledge gaps will close. At some point, there will be no more knowledge gaps to close. At that point, you know you are ready to take the police math exam. 

Welcome to your Police Math Quiz

As of 2021, San Antonio Police Department covers an area of 465.4 square miles, with a population of approximately 1.5 million. On average, how many people live in 12 square miles of San Antonio Police Department?

A victim of theft was lucky to have 40% of her stolen money returned. If she received $60, how much was originally stolen from her?

The odometer on a squad car shows that the police officer traveled 1,478 miles over the past 12 days. On average, how many miles are covered in 5 days?

Two-fifths of police officers at New York Police Department are female. If there are 36,000 police officers, how many officers are male?

A flying object has traveled a total distance of 1,800 miles in 20 days flying 12 hours each day. What is the average speed that the flying object was traveling?

A driver was found speeding and, as the vehicle stopped, it skidded 10 feet and 14 inches. The accident report states that only inches should be listed. How many inches was the vehicle speeding for?

Officer Newberry, who works for Corvallis Police Department, earns a salary of $42,980. If his salary is set to increase 10% per annum over the next three years, what will his salary be after this 3-year period has elapsed?

In the last 3-months, Judge Morris jailed 7 people for aggravated theft. They were jailed for 2, 1, 3, 4, 2, 2, and 5-years, respectively. Over this 3-month period, what is the median jail sentence that Judge Morris applied?

Los Angeles Police Department has, on review, 10 male officers to every 4 female officers. What is the reduced ratio of male:female officers in the department?

A squad car chased a target vehicle for 160 miles at a speed of 80 miles per hour. Upon reprimanding the suspect, they returned to the police station at 40 miles per hour. In total, what is the average speed per hour that the squad car traveled?


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