GET THE SCORE YOU NEED

FOR THE FUTURE YOU WANT

Grammar Hero believes ASVAB prep should be an experience that prepares you for the test as well as for any challenges you may face during your career in the military. Of course, he also believes everyone should have access to high-quality test prep, not just those who can afford it.

GET STARTED
This content is free for personal use only. Unauthorized replication, especially for commercial purposes, is strictly prohibited.
A solider saluting.
Bootstrap Bootstrap

FREE REFERENCE MATERIALS

FORMULA SHEET

To do well on the Arithmetic Reasoning (AR) and Mathematics Knowledge (MK) subtests of the ASVAB, you must learn and memorize these formulas. You probably know most of them.

DOWNLOAD

MATH CHECKLIST

This checklist contains a list of the math topics that frequently appear on the Arithmetic Reasoning (AR) and Mathematics Knowledge (MK) subtests of the ASVAB.

DOWNLOAD

VOCABULARY

Since your Verbal Expression (VE) score is heavily weighted, it behooves you to review and learn vocabulary words from middle school and high school.

DOWNLOAD
Because the ASVAB and PiCAT are computer-adaptive tests, it's difficult to predict the topics you may see on your test. In light of that, it's in your best interest to take a minimum of ten practice tests, including practice tests not found on this website, in preparation for it.

ASVAB/PiCAT PRACTICE TEST 1

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 2

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 3

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 4

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 5

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 6

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 7 (TIMED)

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 8 (TIMED)

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 9 (TIMED)

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 10

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ASVAB/PiCAT PRACTICE TEST 11

This practice test covers the four subtests that determine your AFQT score, notably Word Knowledge (WK), Arithmetic Reasoning (AR), Paragraph Comprehension (PC), and Mathematics Knowledge (MK).

At the end of the test, you will see your predicted AFQT score.

In order to see your predicted AFQT score, you must complete every section of this practice test.

By clicking solutions below, you can view the solutions to the all of the math questions in this practice test.

START MK Solutions AR Solutions

ALGEBRA REVIEW

This review covers a majority of the topics from algebra that you must understand in order to pass the ASVAB or PiCAT. The videos in this review have been ordered such that basic concepts show up in the beginning of the review and more advanced concepts show up toward the end of the review.

START
FREE

GEOMETRY REVIEW

This review covers a majority of the topics from geometry that you must understand in order to pass the ASVAB or PiCAT. The videos in this review have been ordered such that basic concepts show up in the beginning of the review and more advanced concepts show up toward the end of the review.

START
FREE

FRACTIONS REVIEW

This review attempts to cover everything you need to know about fractions in order to pass the ASVAB or PiCAT . The videos have been ordered such that basic concepts show up in the beginning of the review and more advanced concepts show up toward the end of the review.

START
FREE

BASIC MATH REVIEW

This review covers a majority of the basic math concepts that you must understand in order to pass the ASVAB or PiCAT. The videos have been ordered such that basic concepts show up in the beginning of the review and more advanced concepts show up toward the end of the review.

START
FREE

WORD PROBLEMS REVIEW

This review covers different techniques you can use to solve word problems that frequently appear in the Arithmetic Reasoning (AR) subtest of the ASVAB or PiCAT. Since you are not permitted to use a reference sheet on the ASVAB or PiCAT, you must memorize all of the formulas used in these videos.

START
FREE

MATH BOOT CAMP

If you only have a very limited amount of time to study for the ASVAB or PiCAT, you can work your way through these videos. If you do so diligently enough, you will be very well prepared for either of those tests. This review covers more than 500 practice test questions, and it is regularly updated.

START
FREE

GENERAL SCIENCE

This review attempts to cover most of the information you must know in order to do well on the General Science (GS) subtest of the ASVAB or PiCAT.

START
FREE

ELECTRONICS INFO

This review attempts to cover most of the information you must know in order to do well on the Electronics Information (EI) subtest of the ASVAB or PiCAT.

START
FREE

MECHANICAL COMP

This review attempts to cover most of the information you must know in order to do well on the Mechanical Comprehension (MC) subtest of the ASVAB or PiCAT.

START
FREE

AUTO AND SHOP INFO

This review attempts to cover most of the information you must know in order to do well on the Auto Information (AI) and Shop Information (SI) subtests of the ASVAB or PiCAT.

START
FREE

FREQUENTLY ASKED QUESTIONS (FAQs)

It depends on which version you take. More often than not, you’ll take the computer-adaptive version of the ASVAB at a Military Entrance Processing Station (MEPS), and it takes approximately three hours and twenty minutes to complete. The CAT-ASVAB consists of the following subtests, number of questions, and time limits.

Subtest Questions Time Limit (Minutes)
General Science (GS) 16 8
Arithmetic Reasoning (AR) 16 39
Word Knowledge (WK) 16 8
Paragraph Comprehension (PC) 11 22
Mathematics Knowledge (MK) 16 20
Electronics Information (EI) 16 8
Auto Information (AI) 11 7
Shop Information (SI) 11 6
Mechanical Comprehension (MC) 16 20
Assembling Objects (AO) 16 16

In general, the ASVAB is offered year-round. If you’re still in high school, you can contact your school’s guidance counselor, and he or she will help you register for an ASVAB test that will likely be given at your school. Otherwise, you can contact your local military recruiter, and if you’re eligible, they should initiate the process for you.

It depends, since ASVAB scores are valid for two years from the date you take the test. In light of that, the following restrictions apply:

  • After each attempt on the ASVAB, you must wait at least 30 days before you can take it again; and
  • After your third attempt, you will be required to wait six months between each attempt.

    • Your recruiter will have the most up-to-date information about this, insofar as the military sometimes changes its policy.

    Again, the ASVAB has two different math subtests, notably the Arithmetic Reasoning and Mathematics Knowledge subtests.

    Generally, the Arithmetic Reasoning subtest includes the following topics:
  • absolute value
  • prime numbers
  • multiplication and long division, including with fractions and decimals
  • exponents, radicals, scientific notation
  • factorials
  • order of operations
  • ratio, proportion, and rates
  • percentages
  • mean, median, mode
  • probability
  • word problems involving distance, rate, and time, combined work, ratio and proportion, and percent increase or decrease

    • Generally, the Mathematics Knowledge subtest includes the following topics:
  • factoring
  • solving systems of equations
  • inequalities
  • lines and angles (e.g., right, acute, obtuse, vertical, and supplementary)
  • triangles, quadrilaterals, and circles
  • area, perimeter, and similarity
  • solid geometry: surface area and volume
  • coordinate geometry (e.g., linear equations, slope, slope-intercept form, and distance between points)

    • Not surprisingly, I would recommend Grammar Hero’s YouTube Channel. There, you’ll find videos for just about every topic that’ll show up on the ASVAB. Apart from that, I would recommend checking out a copy of ASVAB for Dummies or a similar study guide from your local library. In light of the fact that a lot of people are turned away from military service due to underlying medical conditions, I would not recommend buying any test prep materials or paying for tutoring.

    As mentioned above, AFQT stands for Armed Forces Qualification Test, and it computed by averaging your scores on the Word Knowledge, Paragraph Comprehension, Mathematics Knowledge, and Arithmetic Reasoning subtests. In short, your AFQT score is used by each branch of the military to determine if you are eligible for enlistment. Beyond that, it is what the military uses to gauge your level of trainability.

    AFQT scores are ranked in the following categories:

  • Category I: 93–99
  • Category II: 65–92
  • Category IIIA: 50–64
  • Category IIIB: 31–49
  • Category IVA: 21–30
  • Category IVB: 16–20
  • Category IVC: 10–15
  • Category V: 0–9

    • Air Force – To join the Air Force, you need minimum AFQT score of 36. If you have a high school equivalency degree but have not completed at least 15 hours college credit, you need a minimum ASVAB score of 65. Of all the branches, the Air Force is the most selective.

    Army – To join the Army, you need a minimum AFQT score of 31. If you have a high school equivalency degree , you need a minimum AFQT score of 50.

    Coast Guard – To join the Coast Guard, you need a minimum AFQT score of 40. Those with only a high school equivalency degree need a minimum AFQT score of at least 50 and, in addition, should have at least 15 hours of college credit.

    Marine Corps – To join the Marine Corps, you need a minimum AFQT score of 32. If you have a high school equivalency degree, you need a minimum AFQT score of 50.

    Navy – To join the Navy, you need a minimum AFQT score of 35. Those with only a high school equivalency degree need a minimum AFQT score of at least 50 and, in addition, should have at least 15 hours of college credit.

    Since the military offers hundreds of different career paths, it would be nearly to impossible to give you a concise answer. Assuming you already took the ASVAB and saved the printout of your line scores, you can use the following resources to determine what military occupational specialties you qualify for:

    Air Force: https://www.military.com/join-armed-forces/asvab/asvab-and-air-force-jobs.html

    Army: https://www.military.com/join-armed-forces/asvab/asvab-and-army-jobs.html

    Marine Corps: https://www.military.com/join-armed-forces/asvab/asvab-and-marine-corps-jobs.html

    Navy: https://www.military.com/join-armed-forces/asvab-and-navy-mos-jobs.html

    In addition, your recruiter will give you more information about potential career paths. However, I strongly encourage you to spend some time researching different military careers before you take your physical at MEPs. In doing so, you will have an idea as to what you’re willing to do with the next four to six years of your life.

    Ask a recruiter, a family member, a military veteran, or a smart friend!

    SUPPORT THE MISSION

    Grammar Hero's free content has helped more than 5,000 people significantly improve their ASVAB and PiCAT scores. Unfortunately, his good deeds have not gone unnoticed: unscrupulous and expensive tutors have blatantly copied his free content in an effort to convince people they need to spend hundreds of dollars on test prep for the ASVAB. THEY DON'T. To support Grammar Hero's mission of helping everyone, including those who cannot afford expensive test prep, prepare for the ASVAB, please consider sending him a donation or subscribing to his YouTube channel.

    DONATE SUBSCRIBE