Free ASVAB Auto and Shop Information Study Guide 2021

The ASVAB Auto and Shop Information subtest gauges your knowledge of automobile technology. Let's check this study guide to improve your essential knowledge for this section!

The ASVAB Auto and Shop Information subtest gauges your knowledge of automobile technology, basic repairs as well as various shop tools and fasteners. This is a specialized section that is not calculated to your Armed Forces Qualification Test Score (AFQT) but it is used to determine your eligibility for specific military jobs.

This ASVAB Auto and Shop Study Guide is a comprehensive study guide that contains everything you need to know for the ASVAB. The guide also includes auto information as well as shop information, so it can be used by anyone who needs an understanding of the basics of these topics. Check it now!

ASVAB auto and shop
ASVAB Auto and Shop Information Study Guide

Achieving the best possible score on the ASVAB including the ASVAB auto and shop information subtest starts with arming yourself with the right tools for the job. We recommend the following study guides to help you boost your score.

ASVAB Auto and Shop Information Test   

The CAT-ASVAB test has two distinct parts. The first automotive material part asks 11 questions and you have 7 minutes to answer.  The shop information concludes with 11 questions and is allotted 6 minutes.

In the paper-and-pencil version, you are given 11 minutes to answer 25 questions. The test involves questions about automobile systems and functions/malfunctions and questions about common shop tools and fasteners and their uses.

The Test Questions

The questions on the Auto and Shop Information subtest are written to test your knowledge of among other things a functioning vehicle and the common practices and equipment used in automotive shops.

You will need to know, among other things:

  • Basic engine components and functions
  • Different engine types and sizes
  • How different car parts interact with each other and with the engine
  • How fuel enters the engine
  • How a car’s electrical system functions
  • How to recognize and fix malfunctions in a car
  • Various vehicle operating systems, including the transmission, electrical, brakes, steering, and ignition
  • How computers are used in vehicles today
  • Auto shop procedures
  • Auto shop tools and their functions
  • And much more

A big part of this test is understanding how engines work – from small engines to car engines and above. For instance, you will need to know how a typical engine functions from the fuel mixture it burns to how the fuel enters the engine to how the engine utilizes that fuel to produce motion and more.

  • You’ll need to know the four strokes that make up the engine cycle, what the carburetor does, what the throttle does, and much more.
  • You will also need to know about other important vehicle systems such as the brake system, the cooling system, the electrical system, the emissions control system, and more.
  • Computers also play a major role in most vehicles these days so you will need to have an understanding of how computers are utilized in various car systems.
  • You will also need know-how tools, such as a sliding caliper, butt chisel, auger bit, box-end wrench, vise grip pliers, and adjustable pipe wrench are used.
  • And that’s not all, you will also need to be familiar with striking tools, fastening tools, cutting tools, drilling, punching and gouging tools, and much more.

Here are some sample questions of Auto and shop information ASVAB that could be on the test:

  • A hammer with a regular striking face and, on the opposite face, a rounded end is called?
  •  Which type of bolt has a square section that grips into the part being fixed (typically wood) to prevent the bolt from turning when the nut is tightened?
  • Which automotive system uses universal joints, a drive shaft, and a clutch?
  •  An internal combustion engine in which the cylinders are aligned in two banks, which are at an angle to each other, is known as a?
  • What is a carburetor’s primary function?
  • What does the alternator do?
  • What’s another name for a pipe wrench?

Test Taking Tips

Like some of the more specialized sections of the ASVAB, when it comes to the Auto and Shop Information section chances are you are either going to have a lot of knowledge and experience in this area already or you are just not that interested in the subjects.
If you do want to do well on this subtest but don’t have a lot of knowledge or experience, we’ll share some things that you can do with you later in this study guide.

As for tips for answering the questions on this subtest:

  1. If you don’t have the applicable experience and knowledge, your best choice may be to try and use common sense. This may allow you to eliminate some of the possible answers right off the bat. Then with the remaining answers, you should simply make your best guess. Keep in mind, guessing does not hurt you on the Auto and Shop Information subtest, so you are better off putting down an answer than leaving it blank.
  2. Whether you know a lot about Auto and Shop and know very little, keep in mind this is a timed test and that spending too much time on any one question can negatively impact your performance.
  3. If you run into a difficult question it is best to skip that question and then return to it later if you have time. Also, don’t let one question throw you off track and interfere with your ability to answer other questions.
  4. Keep in mind that you can always come back to the question at the end and give it more thought. Most candidates are able to complete this section without being rushed so that means you may have additional time in the end to review your answers, particularly those answers you are not sure about.
  5. Also don’t forget, if Auto and Shop Information is not required to qualify for the job you want, you may be better served spending your time studying other areas of the ASVAB.

Preparing for the ASVAB Auto and Shop Information Subtest

If you lack knowledge and experience in auto and shop, there are a few things you can do:

  • You can enroll in a course at your local community college
  • You can learn from someone who has auto and shop experience
  • You can read books and do research on the Internet
  • You can read your car’s automobile manual

Besides, our experts have crafted a series of questions that cover areas commonly tested on the real ASVAB to give you an idea of what to expect on the test. Our test will also better prepare you for the experience of sitting for the ASVAB so that you feel more relaxed and confident when you go to take the test.

All the questions are based on the previous ASVAB tests and crafted as close as possible to the real test. Using our ASVAB Auto and shop practice test will help you improve your understanding in this area. 

Feel free to retake our test unlimited times to build your knowledge and confidence. If you want to join an auto or shop-related military job, it is essential to perform well on this subtest. 

Take more of our free ASVAB practice test 2021 and our ASVAB Study Guide for all 9 areas to cover all ASVAB knowledge!


Assembling Objects ASVAB study guide

Our Assembling Objects ASVAB study guide will show you all the information as well as tips and tricks to do well in your real exam. Let's check out now!

The ASVAB Assembling Objects test was acquainted with the ASVAB in 2004 and is principally utilized as a score to decide an up-and-comer’s qualification to the US Navy. This ASVAB shape test does not calculate your Armed Forces Qualification Test (AFQT) score but it will decide what military jobs you are qualified for. Here, we have designed an Assembling Objects ASVAB study guide and available free ASVAB practice test 2021 to assist you with getting ready and passing this subtest of the military selection test.

What is the ASVAB Assembling Objects test for?

The Assembling Objects subtest is intended to quantify your capacity to take a gander at bits of an object and decide how those pieces should fit together (actually called picturing spatial connections). Spatial abilities, which help individuals sort out maps and decipher specialized drawings, are critical to ordinary living just as for performing admirably in school and at work. Society today puts more prominent requests on spatial abilities, like a translation of diagrams, maps, building drawings, and X-beams.

The Assembling Objects subtest of the CAT-ASVAB comprises 16 graphical issues that should be settled shortly; the paper variant of the ASVAB has 25 inquiries to be tackled quickly. That gives you somewhat less than a moment for each question (not including any time you take out to scratch your head). That is a lot of time to complete in case you’re acceptable at jigsaw puzzles.

All things considered, there are available resources to improve your score for the coming test. Here in this article, we dig profound into the sorts of inquiries posed, the test-taking tips you should apply, and how you can deal with getting ready for the test in the coming many months. 

Getting the Picture about Assembling Objects ASVAB

The Assembling Objects subtest is generally new to the ASVAB. It was added when the ASVAB was last overhauled when the Numerical Operations and Coding Speed subtests were erased. First, it was added uniquely to the electronic adaptation of the ASVAB, and afterward, it was added to the paper selection form about a year later. In case you’re taking the secondary school rendition of the ASVAB or the in-administration variant (Armed Forces Classification Test), you will not see this subtest.

At the hour of this composition, just the Navy utilizes the score from the Assembling Objects subtest for work capability purposes. Also, just a small bunch of evaluations (what the Navy calls occupations) require a score around there. Different branches don’t utilize the consequences of this subtest by any means, however, they may later on.

The end result is that except if you’re intending to join the Navy, in one of just a modest bunch of Navy enrolled occupations, you can securely disregard this whole section. 

Two Types of Assembling Objects Questions 

Connection Issues

In this kind of problem, you will be given a progression of shapes and requested to associate these shapes along with specked lines. Your assignment is to pick the drawing that shows what the parts may really resemble after they’re connected or on the other hand associated appropriately.

Here are some samples in our Assembling objects ASVAB practice questions:

The problem asks you choose the figure that shows the shapes connected correctly.

Assembling Objects ASVAB study guide
Assembling Objects ASVAB Study Guide

In this problem, the correct answer is B. Rotate the speech cloud 180 degrees, you’ll get the shape in answer B.

Puzzle Quiz

In this problem, you will be given a split-up shape and requested to gather the pieces to unite that shape back once more.  Numerous individuals may track down the second sort of Assembling Objects issue simpler than the association issues. This sort of issue is actually similar to a jigsaw puzzle, aside from it doesn’t bring about an image of the Statue of Liberty or a guide of the United States.

For example, you may be asked “Which of these images best solves the problem in the first picture?”

Assembling Objects ASVAB study guide
Assembling Objects ASVAB Study Guide
  • The correct answer is C. There are four pieces in the assembled puzzle, then we eliminate choice D. Two of the pieces are parallelogram, only choice C is accepted.

The trouble lies in the way that you can’t utilize your hands to curve the pieces around on the table to perceive how they fit. You need to pivot and move the pieces intellectually.

Tips for the Assembling Objects Subtest

In the after areas, there are a few hints for improving your score on the Assembling Objects subtest. Procedures for wiping out wrong answers during the test are one of the best tips to solve this kind of problem.

On the Assembling Objects subtest, you can improve your chances of finding the right solution by selecting only one shape from the principal drawing and, rapidly take a gander at every answer choice to see whether that shape appears. This action can assist you with eliminating answer decisions that are clearly off-base.

On association type issues, note the situation of the dot on one of the shapes in the main drawing and afterward rapidly filter the potential answers. Eliminating any decision that has the spot in an alternate area or that shows the line going through the shape at an unexpected point in comparison to what appeared in the primary drawing.

You can practice with our hundreds of Assembling objects practice questions to get ready for your coming exam. Take our free ASVAB practice tests 2021 now!

Tips to Improve your spatial abilities

We will indicate several ways to improve your spatial abilities by taking part in exercises that are spatially orientated.

Working on understanding guides: Map perusing can assist you with building up the capacity to measure sizes of size and bearing between related items (streets, waterways, towns, urban areas, etc).

Assembling jigsaw baffles: This way is an undeniable type of training for improving your spatial insights.

Playing puzzle games on the web: Many riddle games at free web-based game locales practice the ability to recognize spatial connections and visual likenesses.

Playing graphical PC games: Computer games may assist you with improving your spatial abilities. An investigation led in the United Kingdom showed that youngsters who played PC games reliably scored higher on spatial inclination tests than kids who didn’t play the games.

Drawing: Look at an item or an image and endeavor to outline it as seen from an alternate view. This activity can assist you with improving your capacity to intellectually envision points.

After this Assembling Objects ASVAB study guide, you can test your ability with our free Assembling objects ASVAB practice questions. Take more ASVAB practice tests or read more ASVAB Study Guide for all 9 ASVAB Sections, visit our website homepage now!

ASVAB Word Knowledge Study Guide

With all other tests, Word knowledge is included which is similarly vital in processing the eligibility of an aspiring applicant. This study guide will help you improve your knowledge to get ready for your coming exam.

Our ASVAB Word Knowledge Study Guide includes all the information and terms that will definitely help you improve your ASVAB score in this section. Let’s start!

As you join the US military service, certain evaluations must be accomplished to assist in navigating your primary niche in the military branches. That being said, like all other military branches, an applicant must be able to pass the Armed Services Vocational Aptitude Battery (ASVAB) evaluation which is conventionally subdivided into ten test subjects. The domains included in the test will help determine your admissibility to be part or initially be enlisted with the Air Force, Navy, Coast Guard, Army, National Guard and etc…

With all other tests, Word knowledge is included which is similarly vital in processing the eligibility of an aspiring applicant. Furthermore, it is also widely considered as one of the most important domains to be taken as this would pre-define your vocabulary skills especially, in times of military operations which are somewhat dependent on verbal deliberations, and honing such skill is a necessary step in leading or supporting a certain military operation.

What included in the ASVAB Word Knowledge test?

ASVAB Word Knowledge
ASVAB Word Knowledge Study Guide

The ASVAB Word Knowledge section measures your knowledge and understanding about the word meaning both individually used and when included in a sentence. You may find it difficult to remember a specific word since the English language is so rich. However, our ASVAB word knowledge practice tests are designed and simulated as the actual test to help you adapt to the test format. Improve your language and vocabulary usage will help you both preparing for the ASVAB test and boost your communication ability in your career and personal life.

Your Word Knowledge score is a part of the AFQT score that will determine if you are qualified to enrolling the military. You have to answer 16 questions in 8 minutes on the CAT-ASVAB test, while the paper-and-pencil version asks 35 questions in 11 minutes.

As we continue with the course, take note of these two primary types of questions included in the test:

Literal Definition of a word

These questions let you choose between a set of words that may define the pre-given word.

Example 1:

Nefarious most nearly means,

A. Kindness

B. Thoughtfulness

C. Worthy                

D. Evil

With the given choices above, the answer would be D. Evil. Always read the other words to know if it is likely synonymous or antonymous with the given word.

Example 2:

Flabbergasting most nearly means,

A. Plain

B. Dumbfounding         

C. Simple                     

D. Mundane

The answer above would be “B. Dumbfounding.” Like the first note, always read the other given words to know if they are similar in nature and definition.

Example 3:

Idyllic most nearly means,

A. Picturesque

B. Dreadful    

C. Flawed    

D. Atrocious

It is apparent that the answer would be A. Picturesque, considering that majority of the given words are antonymous with the questioned word.

Emphasized (italicized or underlined) Term

Unlike the first type of question, the emphasized word would be the crux of the question which can be answered by determining how it was utilized in the pre-given sentence.

Example 1:

Tim told his best friend, Cole,” Break a leg, bro!”

A. You’re a loser     

B. Good luck           

C. Good riddance

D. You’re welcome

It would be “B. Good Luck.” Break a leg is a common idiom that expresses your support to a certain someone.

Example 2:

As Gary finished the exam, he told his seatmate, Bryan,” Oh dude, the test was indeed a piece of cake.”

A. Difficult

B. Mind-boggling  

C. Easy

D. Strong

The answer is “C. Easy.” Like the first example, the phrase “ A piece of cake is a common idiomatic expression used by many people when expressing ease in doing a particular work.

ASVAB Word Knowledge Study Guide
ASVAB Word Knowledge Practice Questions

Core Topics To Study/Ponder

Having much knowledge about basic to advanced grammatical appendices is a fundamental setting that is necessary for you to adapt upon taking all ASVAB tests to properly analyze the set of pre-given questions. Among these technical and grammatical components are; roots, suffixes, and prefixes.

Take note: There’s no need to memorize all of the succeeding terms but it’s more convenient to familiarize the entirety of the grammatical components for accurate deliberation.

To put it into perspective, if you’re aware that “anti” means “opposite/against” then you’d be able to figure out that “anti-Covid 19” means a notion against the concurrent Covid-19.


To make things clear, the subsequent terms are common prefixes along with their equivalent definition and how it is used in common words.

bene – good – beneficiary

Sample sentence: John is a beneficiary of an international scholarship.

de – opposing term – delimitation

Sample sentence: The research should have its own limit and delimitation manner.

dis – refuse, opposing factor of – disentangle

Sample sentence: Gwyn tried to disentangle the twisted rope.

em- / en – cause to happen – empower – enlist

Sample sentence: You’ll soon be empowered after enlisting in the service.

in- – inside tern – input

Sample sentence: You must always consider the raw inputs and subsequent outputs.

inter – between certain concepts – intermediary

Sample sentence: Jesus is the intermediary between humanity and the Almighty Father.

mid – in between or middle spot – midterms

Sample sentence: It’s crucial to pass the midterms with flying colors.

mis – wrongly, contradictory – misconception

Sample sentence: World as it is, bears a common misconception about life and death.

non – not – non-existent

Sample sentence: Chloe’s best friend is no less than a non-existent being that only resides in her imagination.

over – beyond, over – oversee

Sample sentence: The military force is established to oversee peace.

re – again – revitalize

Sample sentence: The essence of brotherhood revitalizes the sense of belongingness.

semi – initial, halfway – semi-bald

Sample sentence: Joe went to his barber and asked for a semi-bald cut.

under – beneath, below, under – underlying

Sample sentence: Every conflict has its own underlying reason.


Common suffixes along with their meaning word application:

-able  – having the capacity – breakable

Sample sentence: True love is not a breakable bond.

-al – relevance – relational

Sample sentence: It’s nice to have an improved relational thinking style.

 -ence – instance of activity – commence

Sample sentence: The proctor remarked,” Let the exam commence!”

-ation –manner or process – evolution

Sample sentence: The evolution of man is predicted to be a paradox of life.

-ful – plenty/filled with – wonderful

Sample sentence: Life is indeed a wonderful journey.

-ist – one who epitomizes – specialist

Sample sentence: Our neighbor is a resident medical specialist.

-less – not having, the act of post-removal– boneless

Sample sentence: Have you ever tried boneless milkfish?

-let – small version – piglet

Sample sentence: The mother pig was walking alongside her three piglets.

-ment – act/progress of – development

Sample sentence: Humanity is now at the edge of AI development.

-ness – bearing a certain characteristic – holiness

Sample sentence: We shall abide by the holiness of God’s word.

-er / -or – one who acts or perform – operator

Sample sentence: Mr. Doe is a tractor operator in West Virginia.


Common Roots along with their meaning and  word application:

The common roots are words that are the primary origin of other words attached with either a prefix- (before a word) or -suffix (after a word).

bio – means ‘life’ – Biology

cede – going towards – precede

corp – a part of a single body – incorporation

dict – utterance – dictionary

domine – overwhelm/ overcome – domination

form – figure/shape – formulation

fract – breakage/scattered – refraction

graph – outlining – Telegraph

path – experience or feeling – Telepathy

press – deviate – suppress

tract – pulling action – retraction

vok – stimulate or call – evoke

ASVAB Word Knowledge Practice Tests – ABC Elearning

As you finish reading the ASVAB word knowledge study guide above, keep in mind that knowing more than what is pre-given in this study guide is a preferable way to pass the ASVAB Word knowledge Exam with flying colors. Basically, this section of the ASVAB serves as a fundamental determiner for your eligibility in the service thus, having prior knowledge about grammatical, technical and a hint of extensive literary background would guarantee a higher score with the test.

Visit our website to read free ASVAB Study Guide 2021 for all 9 sections!

If you want to practice and prepare for the coming test, our FREE 2021 ASVAB practice test is an optimal choice! Thousands of ASVAB practice questions are gamified round by round to kill your boredom with the traditional learning method. Moreover, various ASVAB full-tests will allow you to familiarize yourself with the real test format. Let’s practice now!

Please don’t mind and let us know via if any problems appear.

ASVAB Mechanical Comprehension Study Guide

Mechanical Comprehension Test is quite different from your topics in high school that is why it is important that you choose your own study material in preparation for this exam. In connection to this, this article will lead you to a comprehensive ASVAB Mechanical Comprehension Study Guide that would best fit your preparation needs for the military.

Armed Services Vocational Aptitude Battery (ASVAB) is an examination for military enlistment that includes ten different tests including mechanical comprehension tests. ASVAB Mechanical Comprehension Test is quite different from your topics in high school that is why it is important that you choose your own study material in preparation for this exam.

In connection to this, this article will lead you to a comprehensive ASVAB Mechanical Comprehension Study Guide that would best fit your preparation needs for the military. The complex lessons of this topic are introduced in a way that you could easily understand. 

ASVAB Mechanical Comprehension Study Guide
ASVAB Mechanical Comprehension Study Guide

The ASVAB Mechanical Comprehension test gauges your knowledge of basic mechanical principles and mechanisms. This subtest includes a lot of questions about mechanical operations. To get a good score on this section, it may also require your math skills to answer questions related to mechanical processes by taking calculations based on math formulas.

The subtest score will not be counted to your AFQT score but it will determine which specific military jobs you are qualified for. On the computerized CAT-ASVAB, you have 20 minutes to finish 16 questions. The paper-and-pencil version includes 25 questions and you have 19 minutes to finish it.


Mechanics is primarily defined as the description of forces and energies related to moving objects. It is a branch of physics that lets you describe and predict conditions of rest and movement of matter subjected to the action of forces. There are at least four basic components of mechanics—mass, velocity, acceleration, and force.

Mass is the measure of resistance to force or the total number of atoms in some materials. Velocity pertains to the speed and direction of moving objects. Acceleration, on the other hand, is a change of velocity on an object. However, an object moving at a constant velocity has no acceleration.  Further, force is the energy or strength that is an attribute of movement or physical action. Thus, the force causes acceleration while a change of velocity is a manifestation of force to an object.


In this part of our ASVAB Mechanical Comprehension Study Guide, we will indicate more specifically Principles of mechanics.

In applied mechanics, there are at least six fundamental principles that you should remember:

  • Newton’s First Law of Motion

The very well-known first law of motion states that an object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of the external force. This is also known as the Law of Inertia. It claims that unless a net force acts upon the object, it will always remain in a constant velocity.  When the matter is left at rest, it means that it does not have velocity.

  • Newton’s Second Law of Motion

This law of motion talks about what happens to a massive object when acted upon by an external force. It states that the force acting on an object is equal to the mass of that object times its acceleration. Thus, 

F=ma, where F is the force, m is the mass, and a is the acceleration

When outside and a constant force acts on a body, it causes acceleration, thus changing its velocity at a constant rate. It accelerates based on the direction of the force which acted to it. On the other hand, if the object is already at a constant speed, the body might speed up, slow down, or change its direction depending on the intensity and the direction of the external force.

  • Newton’s Third Law of Motion

This law emphasizes what happens to a body when it exerts a force on another body. It states that for every action, there is always an equal and opposite reaction. Forces usually occur in pairs, which means that a body cannot exert a force on another body without experiencing force itself.

These laws have been the foundation of many experiments throughout the years. They are also applied in many instances in everyday life. They are considered the basic principles of classical mechanics.


One concept that is applied to engineering mechanics is friction. Friction is usually defined as the retarding force that acts in contrast with motion when a body moves. It also pertains to the resistance of motion which scientists believe is a result of electromagnetic attraction between charged particles in two contacting surfaces. 

Types of Friction

Friction has different types depending on where it has occurred:

Dry Friction or Coulomb Friction

This type of friction usually happens when two non-lubricated friction comes in contact and rubs with each other. When friction happens on this, one side may have an effect on its surface.

Fluid Friction

This friction happens when two fluids move at various velocities where the relative velocity on the layers causes frictional forces.

Skin Friction

Also called friction drag, it is a component of the force which resists the motion of a solid body through a fluid.


ASVAB Mechanical Comprehension Study Guide 2021
ASVAB Mechanical Comprehension Study Guide 2021

Energy, work, and power are the three main terms which physics and mechanics often use. Work is done when a force applied to an object has moved the object.  The formula for work is:

W= F x d; where W is for Work, F is for force, and d is for distance

The basic unit of work joule is represented by a capital letter J. This unit of measurement was derived from James Prescott Joule.

On the other hand, Energy is simply defined as the capacity to do work. The formula for potential energy is:

PE= mgh; where PE is for Potential Energy, m is of mass, g is for the gravitational field, and h is for height. Its unit of measurement is also in Joules.

Lastly, power is defined as the rate at which work is done. The formula for this is:

P= W/t; where P is for Power, W is to work, and it is to time

Its unit of measure is through watt which is represented by a capital letter W.


The principles of mechanics work with machines. Machines are used to reduce work and force while increasing the product. For instance, a simple machine uses an applied force to work against a single load force. The work done on the load is proportional to the work done with the applied force if the friction losses are ignored. However, the increase in the amount of the output force means the decrease in the distance moved by the load.

Further, a machine produces force and controls its motion. However, it cannot create energy.


Gears in simple machines are examples of mechanics. This has a wheel and axle that has teeth around it. They are often used with another set of gear to change the directions of forces. Its size determines the speed at which it rotates. This is often used to increase force or speed.

ASVAB Mechanical Comprehension Practice Questions

For more mechanical questions that you might find on the test, start training with us now. All the ASVAB practice test 2021 on our website are based on the previous ASVAB tests and simulated as close as possible to the actual test. To get 100% ready for your big day, take our free mechanical comprehension practice test as many times as possible.

Visit our web to read our free ASVAB study guide for all 9 ASVAB sections and improve entirely your knowledge.

ASVAB Paragraph Comprehension Study Guide

Reading is one of the most fundamental skills in learning. One cannot achieve academic understanding without being able to know how to read. However, reading alone does not suffice the needs if it is only limited to sounding words or phrases. It should always be partnered with comprehension and a deep understanding of the text.

Reading is one of the most fundamental skills in learning. One cannot achieve academic understanding without being able to know how to read. However, reading alone does not suffice the needs if it is only limited to sounding words or phrases. It should always be partnered with comprehension and a deep understanding of the text. Our ASVAB Paragraph Comprehension Study Guide will show you useful tips and tricks to get a good score in this section. 

Enhancing reading comprehension will start with reading comprehension skills development. These skills would start from using the easiest, low order thinking skills up to the most complex, higher-order thinking skills such as the very simple note-taking, summarizing, sequencing, up to inferring, comparing and contrasting, distinguishing fact from opinion, finding the main idea, and drawing conclusions. Take our free ASVAB Paragraph Comprehension practice tests now to improve all these required skills.

Reading comprehension is also based on your purpose—whether you do an intensive reading or extensive reading. Extensive reading is a pleasure reading and you read for the sake of relaxation. You can pick your own topic of interest and indulge yourself without having any accountability for what you read. Extensive reading usually occurs when you read magazines, comic books, picture books, novels, short stories, and the likes. 

On the other hand, intensive reading is the total opposite of extensive reading. Intensive reading is deep and careful reading for information. This kind of reading is usually evident in academic reading where you read to collect knowledge through research papers, term papers, projects, and the likes.

When compared, readers usually have more concentration and focus when having extensive reading as they self-indulge in the material. Intensive reading puts the readers under the pressure of understanding the text at hand which is why several techniques could be used to better apply intensive reading that will be discussed in the latter portion of this article.

ASVAB Paragraph Comprehension Test Information

The ASVAB paragraph comprehension section tests your reading ability and interprets the information contained within a passage. In this section, you will read a paragraph and be asked for the author’s purpose, or what is the meaning of a specific word in the passage, based on the case of the sentence where it is included.

To help you get to familiarize yourself with the test format of the exam, our Paragraph Comprehension questions are crafted with the same length-and-style passages as those on the actual ASVAB test. You will be asked 11 questions in 22 minutes on the CAT-ASVAB test, while the paper-and-pencil version features 15 questions in 13 minutes.

Your score on this section is calculated to your AFQT score, which determines if you are qualified for military service. So you should pay more effort into this test to get a ticket to your desire job.

Types of Question on ASVAB Paragraph Comprehension

ASVAB Paragraph Comprehension Study Guide
ASVAB Paragraph Comprehension Study Guide

In testing reading comprehension, there are three types of questions that you have to be familiar with: literal, inferential, and evaluative types of questions. Other scholars would term these as factual, interpretive, and evaluative questions that differ in their level of difficulty.


Literal or factual questions usually appear on the first part of the questionnaire after the story. These questions use very basic thinking skills and would not require you to analyze as the answers are found on the text itself and could be proven by anyone.  It will tell you what actually happened in the text or what the text is all about.

Although these types of questions are very basic, they are very important questions because they will provide you the foundation of more advanced comprehension. If you would not be able to attain this level of understanding, you will find it hard to proceed to the higher-level types of questions.

Literal questions usually include but not limited to these:

  • What is the story all about?
  • Where did the story happen?
  • Who are the characters of the story?
  • When did the story happen?
  • How did the story end?

In terms of academic contexts, literal questions may be in the form of any factual knowledge asked such as the data, the stated information, the proponents, and such.


Inferential or interpretive questions test a higher level of comprehension. These questions would usually ask what the text means. Here, you go back to stating the basic information from the literal level and use the knowledge to interpret deeper understanding. These questions would solicit answers that are not stated in the text. Readers should make inferences from the given information and read between the lines.

Inferential questions could start with these phrases:

  • Why do you think…
  • What is the problem….
  • Why did the character….
  • What can you conclude about…
  • What lesson….

Inferential questions may ask you to make generalizations, emphasize the cause and effect relationship, predict what will happen, and identify unstated ideas from the text.


Evaluative questions are the highest form of questions. These types of questions let you go beyond the text and consider what you think and believe based on the information and inferences you made from the text. At this level, you are asked to justify your opinion, argue for a certain stand, analyze the content critically, and determine the stand of the author. While inferential questions are reading between the lines, evaluative questions are reading beyond the text and looking for the big picture.

This type of question uses higher-order thinking skills and often requires the highest level of reading comprehension. You may be asked some questions in these forms:

  • What is your opinion about….
  • Do you think… is it a good or bad thing?
  • How do you feel about…
  • Do you agree with…
  • What would you have done in…
  • How did the text make you feel?

ASVAB Paragraph Comprehension Tips

In taking examinations that require reading comprehension, the time pressure could make you throw off your focus. That is why it is important to come up with a good strategy for intensive reading. 

Asvab paragraph reading tips
ASVAB Paragraph Comprehension Study Guide

Some strategies in reading may use SKIMMING and SCANNING for a time-friendly information gathering. Skimming is a form of rapid reading that would focus on the titles, headings, topic sentences, tables, charts, symbols, and other visual organizers. This is a quick trip to pages to get an overall idea.

On the other hand, Scanning is going over through the text to look for specific information while not necessarily reading the ‘whole’ text. Usually, scanning is used to look for literal information such as the Wh-questions. These strategies could help you save up time especially in dealing with lengthy paragraphs in a short period of time. 

Moreover, some examinees use the strategy of reading the questions first before going over the text. With this, you can immediately know what to look for in the text and not spend more time reading the entire paragraph.

Most importantly, read each option carefully. Always be cautious of the time but stay focus while reading.  Take one question at a time and look for keywords that may give you hints for the answer. Lastly, enhance your reading comprehension skills through reading more every day and practice answering comprehension skills questionnaires.

Our free ASVAB practice test 2021 as well as ASVAB Study Guide are also available for all 9 ASVAB sections. Check it now!

ASVAB Math Study Guide

Our ASVAB Math study guide encompasses the simple to complex nature of mathematically-inclined concepts including fractions, percentages, certain math properties, basic algebra, exponents, and logarithms. Do take your time to thoroughly read each topic and understand the given examples.

The ASVAB Mathematics Knowledge section tests your understanding of numerous math areas, concluding algebra and geometry. It is available for both the computerized version (CAT-ASVAB) and the paper-and-pencil version. The CAT ASVAB math test concludes with 16 questions and you have 20 minutes to finish it. The paper-and-pencil version has 25 questions in 24 minutes.

Calculators are not allowed to use in the Mathematics Knowledge section. The best way to prepare for the test is to familiarize yourself with as many ASVAB Math questions as you can. Your score on this test is counted to your AFQT Score and directly affects your percentile rank. Be sure you are well prepared for this section before entering the real exam.

What kind of math is on the ASVAB?

Our ASVAB Math study guide encompasses the simple to complex nature of mathematically-inclined concepts including fractions, percentages, certain math properties, basic algebra, exponents, and logarithms. Do take your time to thoroughly read each topic and understand the given examples.

asvab math study guide
ASVAB Math Study Guide


Multiplication of Fractions

Try to recall these simple fractional terms:

asvab mathematics knowledge study guide

Where the variable above the fraction is called the Numerator and the variable below is called the Denominator.

To try this out, let’s try multiplying these fractions:

asvab mathematics knowledge study guide

We first multiply the numerators and then the denominators to find the answer. 

Take Note:

Try to always reduce the result to its lowest possible terms. Given this example, both numerator and denominator don’t have common factors thus, this fraction can no longer be reduced. 

Division of Fractions

For example:

asvab math study guide

This can be done by changing the division sign (÷) into a multiplication sign (×) and then reciprocating the second number.  

asvab math

Like the example given above, this case cannot further be reduced.


Mixed Fractions 

A fundamental way to deal with mixed fractions is by turning it into an improper fraction which is a different kind of fraction that has a greater numerator than the denominator.

Supposed that we have this mixed fraction:

asvab math mixed fractions

We can convert it through the multiplication of the whole number(3) with the denominator(4) and subsequently, adding the product of the latter with the numerator( 3).

asvab math mixed fractions

As a result, the denominator from the first mixed fraction will be the same as the improper fraction. 


Improper to Mixed Fraction Conversion

As we see from the preceding examples, we’ve converted a mixed fraction (known as mixed number) to an improper fraction. But now, we’ll learn about the reciprocal of the matter. 

Let’s try this example:


We can simply convert it by dividing the numerator with the denominator. 

asvab math mixed fractions 3

Meaning, we first divide 7 with 12 resulting in 1 then bring down 5. After this, you’ll put the remainder which is 5 beside the quotient (1) in a fraction manner as a numerator and retain the denominator which is 7. 



The percentage formula is utilized when expressing a number between one and zero. More so, it is used to know the parts of a whole in a more specific way. Denoted with the symbol (%), it is primarily used to determine and compare the ratios.

Percentage(P) = (IV ⁄ TV) × 100, where IV is the initial or pre-given value and TV is the total value.

Sample problem:

In a singing competition, there are 20 contestants. Out of them, 11 are boys. Determine the percentage of boys in the said contest.


Total number of contestants in the class = 20

No. of Boys in the competition = 11

% of boys in the competition = (11 ⁄ 20) × 100 = (1100 ⁄ 2000) = 0.55 or 55%

Basic Properties of Numbers

Generally, there are four properties of numbers: associative, commutative, identity, and distributive. Such properties are important rudiments upon advancing to a higher level of mathematics.

Associative Property

Addition: When two or more numbers undergo addition or multiplication, regardless of the way they are arranged, the sum will remain unchanged.

5 + (4 + 1) = 10 or (5 + 4) + 1 = 10 

Commutative Property

Multiplication. When two numbers undergo multiplication or addition, regardless of their group, their product or sum remains the same.

 8 x 6 = 48 or 6 x 8 = 48

Identity Property 

1. Addition and Subtraction. The sum and difference, respectively of any value with zero being that number

5 + 0 = 5 , 5-0=5

2. Multiplication and Division. The product and quotient of any value with one being that number. 

15 x 1 = 15, 15/1= 15

Distributive Property

 This property entails the solution in an expression such as a(b + c) or literally following the PEMDAS rule.

 3 x (4 + 5) = 27 or 3 x 4 + 3 x 5 = 27

ASVAB Math Study Guide


It is the study of mathematical symbols along with rules encapsulating variables with distinct contexts and is also referred to as the backbone of mathematics.

Solving for x in a Basic Equation

Oftentimes, we get to solve x in every exam or test given by our teacher or professor. Basically, the main objective is to get the value of x through ‘reverse PEMDAS manipulation. In other words, whatever is done on the left side, will also be performed on the right side of the equal sign. 

Sample Problem:

x + 7 = 10

With this, we are trying to determine the possible x value that when subtracted to 7, will have a difference of 10. This may be logically easy but we’ll try getting the x value by itself. For that to happen, we have to remove 7 from the left side by subtracting 7 on both sides. 

x + 7 = 10

x + 7 – 7 = 10 – 7

x = 3

Determining the x value in an Inequality Equation

The solving process in finding x is similar to an inequality. One thing it differs is that, through division or multiplication by a negative value, the direction of the inequality’s sign changes. 

Sample Problem:

2x + 20 ≥ 40

Like equality’s first step, we start by subtracting 20 on both sides.

2x + 20 ≥ 40

2x + 2  −20 ≥ 40 −20

2x ≥ 20

After that, we then divide 2 into both sides. The inequality’s direction remains unaffected due to the fact that we’ve divided it with positive value. 

x ≥ 10


Generally, it involves two numbers and is used when multiplying a number by itself. More so, it is stated as “a raised to the power of n” or aⁿ

One example is, 6 cubed:

= 6 x 6 x 6
= 216

Next example, 7 squared:

= 7 × 7
= 49

Take note:

A value raised to the power of 1 equals itself such as 51= 5 x 1= 5, itself

A value raised to the power of 0 equals 1 such as 70 = 1

You can simply subtract the exponents whenever the base is the same such as

95 / 93
= 95-3
= 92

To check:
95 = 9 x 9 x 9 x 9 x 9 and 93 = 9× 9× 9
95 / 93 = (9 x 9 x 9 x 9 x 9) / (9 x 9 x 9)= 9 × 9 = 92

Square Roots

To put it simply, the square root is the mathematical inverse of taking a square root, meaning —square root “nullifies” squared values.

Let’s try, 4 squared or 42

42 = 4 × 4 = 16

To put it into perspective, we can figure out what number is necessary to be squared, when we successfully determine the square root of a given number, 

Advice: Try asking yourself, “What numerical value squared could give us the given value such as 16?


Logarithm denoted as log(x) serves as the function in contrast to exponentiation, and is referred as the power to which a given value must be raised to obtain the necessary rate. It is widely known as a math operation that figures out the frequency or number of times a certain value termed as a base, undergoes multiplication by itself. It is also used in various statistical methods that track arithmetic processes in a particular mathematical context.

Common Logarithms

Mathematically, these are types of logarithms limited to base 10. 

Also written as:

asvab math Common Logarithms

Natural Logarithms

It is a special form of logarithm in which the base is a constant e, where e is an irrational number. The natural log of a number x is written as:

asvab math Common Logarithms

Take note that, ln is the inverse of e.

Negative Logarithms

Logarithms don’t usually settle with negative values but this serves as an exemption, such that all values situated between 0 and 1 are deemed as negative algorithms.

ASVAB Math Practice Test by ABC Elearning

Our ASVAB Mathematics Knowledge study guide and free ASVAB math knowledge practice test will help you understand thoroughly the problems in this area. You can retake our practice test unlimited times to boost your knowledge and confidence. 

Take more of our ASVAB practice test or read more ASVAB Study Guide for all 9 ASVAB sections to completely prepare for your coming exam.

ASVAB Electronics Information Study Guide

Our ASVAB Electronics Information Study Guide including general information from basic electrical symbols and functions to electrical wiring and the like.

Our ASVAB Electronics Information Study Guide including general information from basic electrical symbols and functions to electrical wiring and the like. This is among the general topics encapsulated in the ASVAB Electronics section. It’s worth noting that some topics may seem familiar but it is very essential to study further the basic electronic configurations such as how circuits operate, the electric current’s primary definition, conductors, and circuits along with the utilization of Ohm’s law. 

Relatively, such sections of the study guide consist of varying questions on analytical vocabulary, and the ability to intuitively recognize simple electrically-inclined concepts. Bear in mind that upon studying the ASVAB electronics study guide, do magnify more on the very foundation of the topic and avoid neglecting even the simplest conditions as this would substantiate the concept definitions which would be mentioned in the succeeding sub-topics and outlines of the study guide. 

The information below will show you some basic concepts you may meet in your ASVAB electronics test.

asvab electronics information study guide
ASVAB Electronics Information Study Guide

The Electronics Information ASVAB measures your understanding of electrical equipment and parts, including electricity principles, circuits, currents, radio, batteries, resistors, etc. On the CAT-ASVAB, you will be asked 16 questions in 8 minutes. On the paper-and-pencil version, you have to answer 20 questions in 9 minutes.

Concept of Flowing Electrons

Like an electric current, this describes the manner with what concurrently occurs upon noting an excess of electrons that moves from the negative origin (−) to an area that has a deficit in electrons commonly known as the positive origin (+). Subsequently, the flow of electrons is reflective of the repulsive and attractive forces between varying charged components.


It is a path that permits electricity to flow from one area to another. Regardless of consisting electrical components, the flow remains unobstructed by a break or gap in the circuit. More so, through utilization conducting materials, along with insulated wires, attached to and connecting both terminals forms a certain circuit. 

A prime example that embodies a simple circuit is a battery-based flashlight. Upon pressing the ON button switch of the flashlight, it allows interaction between two contact strips, which initiates an electrical flow, conducted from the battery. The batteries are connected in such a way that the charges from the batteries then flow to the bulb eventually lighting it up.

Open and Closed Circuits

The components of a closed circuit are connected which allows the flow of electrons through conducting wires or materials towards a voltage sequence. On top of this, a gap in the circuit may hinder the connection to properly function. In simple terms, an open circuit won’t work while a closed circuit can. 


It is an electrical component or part of a circuit that drains electric power. This includes home appliances that harness electricity. The load may also be denoted as the power consumed by a circuit. It is the opposite of a power source as a load only dispels charge from a circuit but doesn’t yield power.

Series Circuit

It is a type of circuit that consists of a single path in which the whole current traverses through one component to another. It is only through each linear component in the series circuit where the current would categorically flow. More so, series circuits have the same current that runs through each component in the process. 

The sum of the circuit’s resistivity is the sum in each component’s voltage drops and is the sum of the total voltage and total resistance in a series circuit, respectively. Equivalent resistance which is denoted by Req is the sum of each resistance in the circuit. Considering that there is only a single currency in the process, the term Req is usually used in calculating series circuits through Ohm’s Law.

Parallel Circuit

This type of circuit comprises multiple paths through which the current passes. With that separation of paths, the current’s power may vary. Regardless of the separated paths, the voltage drop remains the same across the remaining branches. 

Unlike a series circuit, if a gap or break is observed in a parallel circuit or simply disconnected, the division will not hinder the current to pass through the other branches.

The parallel circuit’s equivalent resistance is exemplified as:


where 1Req and R1 to R3 serve as the equivalent resistance, first resistor, second resistor, third resistor, and so on. 

ASVAB Electronics Information Study Guide
ASVAB Electronics Information Study Guide

Electrical Power

It is a quantified scaling of the degree of work made by a circuit through a unit of time. Along it is formulas that calculate the electrical power dispersed or produced in the process such as:




in which P is Power, I is Current, R is Resistance, and V is Voltage. 

Take note that, it is the voltage source where power is generated and subsequently, dissipated by consisting loads.

Electrical Units of Measurement

Amperes—measures electrical current.

Ohms—measures resistivity. 

Watts—measures electrical power. 

Volts—measures voltage. 

Metric Prefixes

nano- is 110^−9, micro- is 110^-6, milli- is 110^−3, centi- is 110^−2, kilo- is 110^3 and mega- is 110^6, and giga- is 110^9

Subatomic Particles and Valence Shell

Every single object in the universe consists of basic infinitesimal particles termed atoms. Each atom has its own unique behaviors that depend on its internal foundation. They are composed of three smaller particles namely; protons, electrons, and neutrons. An element known as hydrogen is composed of a single proton but when it is added with another proton, it then becomes helium and so on.  If there is, however, a different number of neutrons inside the atomic nucleus, then it is signified as an isotope.

The Three Subatomic particles

Proton– is positively charged and weighs 1.673 x 10^-27

Electron– is negatively charged and weighs 9.11 x 10^-31

Neutron– has a neutral charge and weighs 1.675 x 10^-27

It’s worth noting that protons and neutrons constitute a vast majority of the atom’s mass. While electrons are much smaller than protons and neutrons, it co-exists inside the surrounding energy orbitals. When electrons are farthest from the nucleus, they are the most reactive to certain bonds.

Conductivity, Semi-conductivity, and Insulator

Conductivity is a measurement of quantified ease when material permits electric current to flow through it. Inversely, electrical resistivity measures the contradicting force when a material resists the flow of electric current.

Relatively, a conductor is a material that gives minimal resistance to the electric current. One good example is metal due to the lesser resistance during the electron flow process.  Materials that possess high resistance are called insulators which also exhibit very low conductivity.

Between insulators and conductors are Semiconductors that have abilities in between both components. Such that when heated, semiconductors increase in conductivity while conductors experience increased resistivity.


It is the amount of charge per unit of time that passes through a specific circuit. Such that,

 I= Δq/Δt

 It is measured in Coulombs per second, or Amperes(A),

1 Ampere= 1 coulomb/second

 Current, voltage and resistance are related to each other through Ohm’s Law:


where I is current, V is voltage, and R is resistance.


It is a charged pressure that pushes electrons to move in a circuit. Voltage is a quantitative expression of electric potential difference between two charged points in an electric field. It is measured in Volts (v).

Also known as electromotive force, it is the force responsible for pushing the current through a circuit. It is somewhat similar to a difference in charged pressure due to the higher concentration of charge at one point of the components. This certain difference in concentrated charge results in a ‘voltage’.


It is a property of certain naturally insulated materials that impedes the channel of current procured by a conductor. To put it simply in perspective, conductivity and resistivity are inversely related.  Resistance is measured in Ohms.

R=⍴⋅LA, where represents the resistivity of the conductor, L is the length or distance, and A is the cross-sectional area.


It is defined as the manifestation of a phenomenon driven by electrostatic charges. More so, a magnetic field can instigate charged particles to make electricity, and there the properties of magnets are collectively known for having the potential capacity to draw electricity from the attraction and repulsion forces situated in opposite poles.

ASVAB Electronics Information Practice Questions

Our ASVAB Electronics Information study guide and free ASVAB electronics information practice test will help you to get 100% prepared before your big day. Thousands of ASVAB practice questions and our unique gamified learning technique will help you definitely improve your knowledge and easily pass your ASVAB test.

Take our free ASVAB practice test 2021 or read more ASVAB Study Guide for all 9 ASVAB knowledge areas to improve all your skills now!

ASVAB Arithmetic Reasoning Study Guide

The ASVAB Arithmetic Reasoning test measures a candidate’s ability to solve problems representing word problems and delivers mathematical questions and equations. These may not only be simple questions involving addition, subtraction, multiplication, or division but may also require reasoning skills to determine what is really being asked for and finding the best answer.

The ASVAB Arithmetic Reasoning test measures a candidate’s ability to solve problems representing word problems and delivers mathematical questions and equations. These may not only be simple questions involving addition, subtraction, multiplication, or division but may also require reasoning skills to determine what is really being asked for and finding the best answer. 

The CAT-ASVAB (computerized version) has 16 questions and 39 minutes to finish; the paper-and-pencil version has 30 questions completed in 36 minutes. 

Arithmetic Reasoning Concepts

The following arithmetic concepts are included in your exam:

Arithmetic: This concentrates on basic arithmetic such as addition, subtraction, division, and multiplication.

Percentages:  This kind of question relates to calculating cost price, sale price, discount, etc.

Ratio and proportion: Ratio/proportion-related questions are solved by using simple formulas.

Interest:  Interest-related questions may require more complicated formulas.

Numbers: This asks for your knowledge of whole numbers, decimals, real numbers, fractions, and imaginary numbers, etc.

The Arithmetic Reasoning section is used to calculate your Armed Forces Qualification Test (AFQT) score so you should get a good score on this section. Take the Arithmetic Reasoning ASVAB practice test as much as possible to familiarize yourself with the test format and determine clearly your strength and weakness. 

These word problems may have some technical terms, besides basic terms, such as area, perimeter, integer, or ratio, which are expected to be common mathematical knowledge. When solving Arithmetic Reasoning questions, you must pay attention not only to the numbers mentioned in the problem but also to the wording, the format of the paragraph, buzzwords, and more.

ASVAB Arithmetic Reasoning Tips

Finding “buzzwords”

These words or phrases of emphasis indicate the action you will need to solve the problem. For example, if a problem mentions “difference” or “fewer” or “take away”, it may require you to use subtraction, while some words like “times” or “product” or “double” may stand for multiplication. Before solving the problems, make sure you carefully read and identify what process it requires. It will show you the direction you should take to solve the overall equation.

Identify numbers

Word problems can be simple with an addition or subtraction of 2 numbers, or they can include more complex numbers and operations. Pay your attention to all the given numbers and figures within the body of the paragraph. Read carefully these numbers, and then determine which of the numbers are relevant to solve the problem and which of them are misleading you. 

Make sure you perform them in the right order. 6 – 8 and 8 – 6 bring two very different results and may affect your pass or fail. Be as careful as possible with the number to avoid unnecessary mistakes. 

Paragraph Format

When dealing with the Arithmetic Reasoning section, you should notice that many word problems may contain irrelevant information that is used as a filler to distract you from the real question being asked. You must learn to scan all over the problem, disregard this misleading verbiage and focus on the portions that will help you answer the problem. Just because something is included in a paragraph doesn’t mean that it is important and must be used.

By identifying the format and context of the paragraph combining with the buzzwords and numbers, you can build a completed, simplified equation. Be sure that you select all necessary information, make a proper equation, and solve it. 

If you run into a problem that stumps you, skip it to move ahead to another one and then come back to it if you have time. Do not waste too much time on a problem, try to quickly solve the other questions that you are certain about it.

Steps to solving a word problem

Here is the suggested route to answer the questions in the ASVAB Arithmetic Reasoning test.

Carefully read the problem

Because of the limited time, you may push yourself to solve a problem quickly. This easily leads to a disaster of failing the test. Word problems can be tricky, so you have to thoroughly read each to identify exactly what is being asked for.

Determine the method used to answer

After thoroughly understanding the problem, you’ll need to gather all the relevant data from the problem and decide what is the best way to solve the question it is asking. 

Setup the equations

Once you have determined the method used to answer, you need to set all the relevant data into an equation that will lead you to the correct answer.

Solve equations and review results

When you have the equations for the question, solve it to find the final result. Then quickly review to make sure there is no regretful mistake in the solving progress. 

Basic Arithmetic Review

Before starting practicing the Arithmetic problems, let’s review all the basic definitions, properties, and Arithmetic Reasoning formulas you may need in the ASVAB Arithmetic.

Types of Numbers


Natural numbers (i.e. counting numbers) are numbers that are used for counting and ordering. They can be expressed mathematically as {1, 2, 3, 4, 5, …}

Even Number

Even numbers are natural numbers that are divisible by 2. 

2ℕ = { 2, 4, 6, 8, 10, 12, 14, … }

Odd Number

Odd numbers are natural numbers that are not divisible by 2. 

2ℕ + 1 = { 1, 3, 5, 7, 9, 11, 13, 15…} 

Prime Number

A prime number is a number greater than 1 that is only divisible by 1 and by itself.


2, 3, 7, and 11 are prime numbers

P = { 2, 3, 5, 7, 11, 13, 17, 19,…}

Composite Number

Composite numbers are the product of some prime numbers. For example:

8 = 2 ⋅ 2⋅ 2

10 = 2 ⋅ 5


In mathematics, the whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.


An integer number includes all positive whole numbers (a positive integer), and negative whole numbers (a negative integer), or zero.

asvab arithmetic reasoning

We can put that all together like this:

Integers = { …, −4, −3, −2, −1, 0, 1, 2, 3, 4, … }


Fraction/rational number is a ratio of two integer numbers in the form of A/B, where A and B are integers and B#0.

A is called Numerator

B is called Denominator


Real numbers that cannot be written as the quotient of two

integers but can be represented on the number line.


-2√3 , √2, π


Include all numbers that can be represented on the number

line, that is, all rational and irrational numbers.

The Basic Number Properties

Four basic properties of numbers include commutative, associative, distributive, and identity. You should familiarize yourself with each of these before taking the Arithmetic Reasoning subtest.


Properties of addition

Identity Property of Zero

a + 0 = a

Inverse Property

a + (-a) = 0 

Commutative Property

When adding two numbers together, the outcome (sum) is the same regardless of the order the numbers are placed in.

a + b = b + a

For example, the two following equations end up with the same result:

4 + 6 = 10 or 6 + 4 = 10

Associative Property

When adding multiple numbers together, the outcome (sum) is the same regardless of the order the numbers are placed in.

(a + b) + c = a + (b + c) 

Properties of subtractions


Unlike addition, the order of two numbers in subtraction changes all the results. In other words, the subtrahend and minuend are distinct factors when subtracting and they cannot be switched order-wise (except subtrahend and minuend are equal).

a – b # b – a

For example :

8 – 6 = 2 is not the same as 6 – 8 = -2


When subtracting multiple numbers, the order of the numbers does matter. Subtracting numbers in different orders will result in different outcomes. 


Properties of multiplication

  • Property of Zero

a × 0 = a

  • Identity Property of One

a × 1 = a, where a # 0

  • Inverse Property

a × 1/a  = 1, where a # 0

  • Commutative Property

When multiplying two numbers together, the product is the same regardless of the order the numbers are placed in.

a × b = b × a

For example, the two following equations end up with the same result:

2 × 3 = 6 or 3 × 2 = 6

Associative Property :

When multiplying multiple numbers together, the product is the same regardless of the order the numbers are placed in.

(a × b) × c = a × (b × c)

For example :

(2 × 3) × 4 = 2 × (3 × 4) = 24


Properties of division

Property of Zero

0/a = 0, when a # 0.

Property of One

a/a = 1 when a # 0

Identity Property of One

a/1 = a × 1.

Absolute Value

The absolute value of a number is always greater than 0. 

If a > 0, |a| = a. 

If a < 0, |a| = a. 

For example, |8| = 8 and |-8| = 8. In each case, the answer is positive.

Order of Operations 

Step 1 : Parentheses – Simplify any expressions inside parentheses. 

Step 2 : Exponents (Powers, Roots) – Work out any exponents. 

Step 3 : Multiply or Divide before you Add or Subtract

Step 4 : Addition and Subtraction These are done last, working from left to right.

For example:

10 – 8 × 4 + (6 ÷ 3) + 5 × 23 

= 10 – 8 × 4 + 2 + 5 × 8

= 10 – 32 + 2 + 40

= 20

>> More: General Science ASVAB Study Guide


Adding and subtracting with negatives

– a – b = (-a) + (-b)

– a + b = b – a

a – (-b) = a + b 


– 2 – 3 = (-2) + (-3) = -5

– 2 + 5 = 5 – 2 = 3

2 – (-3) = 2 + 3 = 5


Multiplying and dividing with negatives

-a × b = -ab

-a × -b = ab

(-a)/(-b) = a/b, b # 0

(-a)/b = -a/b, b # 0


-2 × 3 = -6

-2 × -3 = 6

(-2)/(-3) = ⅔

(-2)/3 = -⅔



Fractions are another way to express division. The top number of a fraction is called the numerator, and the bottom number is called the denominator.

Least common multiple

The LCM of a set of numbers is the smallest number that is a multiple of all the given numbers. For example, the LCM of 5 and 6 is 30, since 5 and 6 have no factors in common. 

Greatest common factor

The GCF of a set of numbers is the largest number that can be evenly divided into each of the given numbers. For example, the GCF of 24 and 27 is 3, since both 24 and 27 are divisible by 3, but they are not both divisible by any numbers larger than 3. 

Adding and subtracting fractions

Fractions must have the same denominator before they can be added or subtracted.

asvab arithmetic reasoning 2

If the fractions have different denominators, rewrite them as equivalent fractions with a common denominator. Then add or subtract the numerators, keeping the denominators the same. For example :

asvab arithmetic reasoningarithmetic reasoning formula


Multiplying and dividing fractions

When multiplying and dividing fractions, a common denominator is not needed. To multiply, take the product of the numerators and the product of the denominators :

asvab arithmetic study guide

Example :

⅔ × ⅛ = (2 × 1 )/(3 × 8) = 2/24 = 1/12

To divide fractions, invert the second fraction and then multiply the numerators and denominators :

arithmetic reasoning

⅔ ÷ ⅛ = (2 × 8)/(3 × 1) = 16/3.

Visit our homepage to take our free ASVAB practice test 2021 to practice the Arithmetic Reasoning section now! Hope that our free ASVAB Study Guide 2021 helps you gain all the essential knowledge for your coming exam!


ASVAB General Science Study Guide 1

The ASVAB General Science subtest is designed to test your scientific knowledge. Let's read our lessons and tips for the Science section of the ASVAB to get 100% ready for your coming ASVAB.

The ASVAB General Science subtest is designed to test your scientific knowledge. The subtest is NOT a part of your Armed Forces Qualification Test score. However, if you desire a job field that is related to science, you will need to perform your best on the general science test to qualify for that job. On the paper-and-pencil version, the General Science section has 11 minutes for 25 questions on the paper version. On the CAT-ASVAB, you will have 8 minutes to finish 16 questions.

Because it is a general science test, students must show their general knowledge of a variety of scientific areas, including Earth & Space Science, Life Science, and Physical Science. Each portion of the general test has the same role, make sure you do not focus too heavily on any one area. 

Part 1 of our Free General Science ASVAB Study Guide covers the general information you need to know about Earth & Space Science. This topic will show all the knowledge about the structure of the Earth, Plate tectonics, Types of rocks, Water cycle, Earth’s Atmosphere, Planets, and Comets.

Earth & Space Science

Structure of the Earth

asvab general science
ASVAB General Science Study Guide

The Earth is consists of three main layers:

The outer silicate solid crust is the rocky outer layer of the Earth. It is very thin (5–70 kilometers in depth) compared to the other two layers.

The Earth’s mantle is the planet’s thickest layer with a depth of 2,890 km. It is a hot, solid rock layer located under the crust.

The core is a large sphere of metal that forms the center of the Earth. It concludes a liquid outer core whose flow produces the Earth’s magnetic field and a solid inner core.

Plates tectonics

Plate tectonics is the theory that Earth’s outermost layer is divided into large slabs of solid rock, called “plates,” that drift slowly. They move at about 1/2 to 4 inches (1.3 to 10 centimeters) per year.

There are two types of plates – oceanic plates and continental plates. As these plates move, the continents glide slowly. Based on the direction of a plate’s movement as well as its relationship to the beside plates, various different boundaries may be formed:

Divergent plate boundaries occur when 2 tectonic plates move away from each other. Here, earthquakes happen commonly and magma (molten rock) from the mantle rises to the surface and creates a new oceanic crust. 

Convergent plate boundaries form when two plates come together and collide. The impact of the colliding plates causes the edges of the plates to buckle up then creating mountain ranges or one of the plates may bend down into a deep seafloor trench.

Transform fault boundaries 

A transform fault or transform boundary occurs when plates move sideways past each other horizontally. It ends suddenly when it connects to another plate boundary, or another transform, a spreading ridge, or a subduction zone.

Types of rocks

In your ASVAB General Science section, you may be asked about the types of rocks as well as their properties. Let’s take a look to obtain this information.

Igneous rock, sedimentary rock, and metamorphic rock are the three main types of rocks.

Igneous rock is formed when magma or lava from inside the earth cools and solidifies. This type of rock majorly makes up the Earth’s crust (ex: basalt, obsidian, and granite).

Sedimentary rock is formed over time when smaller sediments and inorganic material are layered, squeezed, and solidified. (ex: sandstone, limestone, coal, and shale).

Metamorphic rock forms when igneous or sedimentary rock is transformed by heat, pressure, or chemical reactions. (ex: slate, marble, and quartzite).

Water cycle

There are some facts about the water you may need while doing your ASVAB General Science subtest:

Water occupies 71% of Earth’s surface in the oceans, lakes, rivers, and glaciers.

On the Fahrenheit temperature scale, water freezes at 32° and boils at 212°. On the Celsius scale, water freezes at 0°C and boils at 100°C.

Saltwater makes up 97% of the water on Earth. Of 3% of remaining freshwater, and two-thirds of it is ice.

Earth’s liquid freshwater is mainly in the form of groundwater.

asvab general science study guide
ASVAB General Science Study Guide

The water cycle describes the continuous movement of water to the atmosphere by evaporation and then from the atmosphere to the land by precipitation.

Evaporation: Heats of the sun change water on the Earth’s surface from liquid to gas state. This vapor can then rise up into the atmosphere. Water also evaporates from plants, in a process called transpiration.

Condensation: Water vapor rises into the sky, turning back into a liquid, then forming clouds.

Precipitation is any product of the condensation of water vapor in the atmosphere that falls from clouds. This includes rain, snow, and hail.

Earth’s Atmosphere

This information will help you improve your knowledge about the atmosphere of the Earth and easily solve this kind of question in your ASVAB General Science test.

Earth’s atmosphere is made up of 78% nitrogen, 21% oxygen, 0.9% argon, and 0.1 percent other gases (carbon dioxide, methane, water vapor, and neon).

Layers of the Atmosphere: From lowest to highest, the five main layers are:

Troposphere: This is the lowest layer of the atmosphere where we live in. Weather almost takes place in this layer. In this layer, the higher the distance above the earth is, the colder the temperature gets (by about 6.5°C per kilometer).

Stratosphere: This extends upwards of about 50 km from the troposphere. It contains the Ozone layer. In this zone, due to the absorption of ultraviolet (UV) radiation from the sun by the Ozone layer, temperature increases with height.

The Mesosphere is located above the stratosphere. The temperature here also decreases with height, with a minimum of about -90°C at the “mesopause”.

Thermosphere: The International Space Station orbits lie in this layer. The thermosphere is above the mesopause. In this region, the temperatures again increase with height. This may be caused by the absorption of energetic ultraviolet and X-Ray radiation from the sun.

Exosphere:  The region higher than 500 km is called the exosphere. This region contains mainly oxygen and hydrogen atoms. Most of the satellites orbiting Earth are in here.

The planets

asvab general science study guide
ASVAB General Science Study Guide

Planet Facts:

The planets can be divided into 2 groups. The first group concluding inner planets that are small, dense, and rocky (Mercury, Venus, Earth, and Mars). Another one consists of 4 planets called the terrestrial planets because of their solid planetary surfaces.

Here are the 8 planets listed in order of nearest distance to the Sun:

Mercury: The smallest of the terrestrial planets in the solar system and the closest to the sun. It is only slightly bigger than the Earth’s Moon. It is also the fastest planet,  taking 88 Earth days to zip one revolution around the sun.

Venus: The brightest object in our night sky following the moon. Venus spins slowly in the opposite direction from most planets. The rate of its rotation is very slow. Venus takes 243 days to rotate around its axis, which is even longer than it takes to complete a revolution around the sun. A very thick atmosphere composed of carbon dioxide and droplets of sulfuric acid traps heat making it the hottest planet.

Earth: Unique from the other planets because it is the only place we know of so far existing living things. Its surface has a suitable condition of atmosphere and temperature for the existence of liquid water to support life.

Mars: A “red planet” with a dusty, cold, desert surface and very thin atmosphere. There is evidence that Mars had a great deal of liquid surface water billions of years ago.

Jupiter: The largest planet in our solar system and more than twice as massive as all other planets in the system combined. It is also the planet with the biggest number of the moon with I79 in total. Jupiter contains major hydrogen and helium. 

Saturn: The second-largest planet in our solar system with a spectacular dazzling, complex system of icy rings. Saturn has 62 moons. 

Uranus: The seventh planet from the Sun – its most unusual characteristic is that the axis is tilted more than 90°. This unique tilt makes Uranus seem to spin on its side.

Neptune: The farthest planet from the Sun – has a bluish color due to the methane in its atmosphere. It is a dark, cold planet and whipped by supersonic winds.


Comets are cosmic snowballs made up of frozen gases, rocks, and dust that orbit the Sun. People are sometimes called Comets “dirty snowballs”. When a comet’s orbit takes it close to the Sun, it begins to heat up and release gases and dust in the outgassing process. This creates a giant glowing head larger than many planets. The dust and gas tail can stretch for millions of miles. 

ASVAB General Science Practice Questions – ABC Elearning

After reading some knowledge and tips for the ASVAB General Science section, let’s take our practice questions to find out more clearly what you have mastered and what you should improve on! Find our free ASVAB practice test 2021 and read more ASVAB Study Guide for all 9 ASVAB sections with us here!

Our website has thousands of ASVAB practice questions that are gamified round by round to kill your boredom while learning. Our unique learning technique will allow you to well prepare for your coming exam!