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Firefighter Math Test Preparation & Sample Questions – 2024


Firefighters need an understanding of basic math to perform their daily tasks. A firefighter might need to calculate the height of a ladder, the length of a water hose, or the amount of water in a tank. To assess a job candidate’s understanding of math, most fire departments include a math test in the hiring process. The department may administer this test individually or, more commonly, as part of a group of written assessments.


What Is the Firefighter Math Test?

The firefighter math test is a written test made up of multiple-choice questions. Calculators are not allowed, but test-takers may use a pencil and paper to perform calculations if needed.

Test questions cover the following skills:

  • Basic functions: addition, subtraction, division, and multiplication
  • Fractions, ratios, decimals, and percentages
  • Simple algebra including formulas and equations
  • Simple geometry, such as determining the area or volume of a shape


How to Prepare for the Firefighter Math Test?

To prepare, start by taking an online practice test. There are math tests available that are specifically designed to help you prepare for the firefighter test. Practice tests will help you identify any areas you need to work on so you can focus your efforts on those areas.

When you’re looking for a practice test, keep in mind that different assessment companies have different names for the math section of the test. It might be called a mathematical ability test, mathematical aptitude test, or mathematical reasoning test. Some simply call it a mathematical test or a numerical reasoning test. You may be able to confirm ahead of time which particular test your fire department will administer.

For some aspiring firefighters, all you need to do to prepare is take a practice test a couple of times and ensure you’re happy with your score. However, you may find that you need to refresh your understanding of certain formulas or calculations. Once you’ve done so, go back and try the practice test again. Give yourself enough time before test day to allow for multiple practice sessions.


Sample Questions

  1. Your department’s fire engine is 54 feet long. The fire engine bay is 13 feet longer than the fire engine. What is the total length of the bay?
    1. 41 feet
    2. 54 feet
    3. 67 feet
    4. 70 feet
  2. A fire engine is traveling 35 miles per hour on a city street and must travel 7 miles to reach a reported fire. How long does it take to reach the site of the fire? Round up to the nearest minute.
    1. 7 minutes
    2. 12 minutes
    3. 35 minutes
    4. 42 minutes

Answer Key

  1. C
  2. B