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Police Practice Math Test | Sample MCQ Exam!

September 22nd, 2021 police practice math test


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

That’s not the right approach.

Instead, you should actively engage with math problems.

Remember – the purpose of including math questions is clear:

  • To determine how well-rounded your math knowledge is
  • To establish the level of your critical thinking skills
  • To understand how you manage numbers

Numbers are everywhere. They are inescapable, including in a career in law enforcement. Whether you are filling out incident reports or merely reading other reports, you must have a grasp of the numbers.

You must possess a thorough understanding of the following topics:

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

This is no easy task, either.

The police math exam is just one part of the wider written exam. There are many elements to juggle, and it can be difficult to find time to master math. That said, there are study approaches we recommend helping you on your way. The more math questions you practice, the better and more refined your understanding becomes and the greater clarity that’s added to your critical thinking skills.

And that’s what should motivate you, too – the ability to grow and mature your critical thinking capacity. This is a “transferable skill” that will enhance your thinking capacity in other aspects of your policing career.

Enough said, let’s get started!

Police Practice Math Test

Below, we’ve put together a sample police practice math test to give you a solid idea of what to expect on exam day. There are 10 questions on this test, each of which has been developed to match the style and difficulty of the questions you are expected to prepare for in the weeks and months ahead.

Do not worry if you don’t score 10 out of 10. Remember – you need to at least score 7 out of 10 to pass. However, try your best to score as high as possible. For this reason, Police Test Study Guide has placed 80% as the pass mark. The higher the score, the more likely you will be selected to join the police academy. Passing the police math test doesn’t need to be difficult.

With the right study approach and practicing as many police math questions as possible, there is no reason why you cannot ace this part of the police officer exam. Become a registered member of Police Test Study Guide now to receive access to 100s more police practice math tests.   

Welcome to your Police Math Quiz

1. 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?
2. Two-fifths of police officers at New York Police Department are female. If there are 36,000 police officers, how many officers are male?
3. 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?
4. 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?
5. The average salary of a police officer in Arizona is $52,674, which is 11 percent more than the national average. What is the national average?
6. 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?
7. 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?
8. As of 2019, 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?
9. 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?
10. 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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