Study guides ยท Stuff Every Military Recruit Should Know

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Stuff Every Military Recruit Should Know: Training Guide

A beginner-friendly study guide for the ASVAB, covering the test format, scoring, verbal and math subtests, science, electronics, auto and shop, and mechanical comprehension.

Who this is for: For a curious adult beginner or teen preparing to take the ASVAB for military enlistment. It assumes no prior military knowledge.

Study aid, not authority. This guide is not an official course, a certificate or a license. This guide uses only the provided ASVAB facts and does not replace official recruiter guidance. Ask a military recruiter or test administrator for current branch rules, retest rules, and eligibility requirements.

Written by Aha Trivia from 124 checked cards and 82 sources. Checked 2026-10-25.

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Key facts

ASVAB full name
Armed Services Vocational Aptitude Battery ASVAB Fact Sheet (officialasvab.com)
CAT-ASVAB subtests
10 ASVAB FAQs
AFQT subtests
Arithmetic Reasoning, Mathematics Knowledge, Word Knowledge, Paragraph Comprehension Understanding ASVAB Scores (officialasvab.com)
Retest wait
One month after the first test and after the first retest, then six months between later retests. ASVAB Retest Policy (officialasvab.com)
Army minimum AFQT 2026
31 ASVAB Entrance Test (goarmy.com)
Air Force GED minimum AFQT 2026
50 ASVAB (airforce.com)

Study plan

  1. Week 1: Learn the ASVAB test rules, scoring, and verbal skills.
    Lessons: ASVAB Basics and Scores, Verbal Skills: Word Knowledge and Paragraph Comprehension
  2. Week 2: Build the two math subtests: Arithmetic Reasoning and Mathematics Knowledge.
    Lessons: Arithmetic Reasoning, Mathematics Knowledge
  3. Week 3: Study General Science and Electronics Information.
    Lessons: General Science, Electronics Information
  4. Week 4: Cover Auto and Shop plus Mechanical Comprehension.
    Lessons: Auto and Shop, Mechanical Comprehension

Lesson 1 of 8

ASVAB Basics and Scores

Learn what the ASVAB is, how it is structured, how scores work, and the rules for retesting and branch minimums.

What you will learn

  • Explain what the ASVAB and AFQT are.
  • Name the four subtest domains and the four AFQT subtests.
  • Interpret AFQT percentiles and subtest standard scores.
  • State retest rules and branch minimum score examples.

What the ASVAB is and where you take it

ASVAB stands for Armed Services Vocational Aptitude Battery. It is the test used to decide if you can join the US military and which military jobs fit you.

The first ASVAB was given in 1968, and all the military services were using it by 1976.

Most enlistment testing happens at a Military Entrance Processing Station, or MEPS. There are 65 MEPS across the US and Puerto Rico, and remote test takers may use smaller Military Entrance Test sites.

High schools also give the ASVAB to help students explore careers, even if they do not plan to enlist.

Test versions and subtests

The computer CAT-ASVAB has 10 subtests. The paper ASVAB combines Auto Information and Shop Information into one subtest, so it has nine.

The subtests measure four domains: Verbal, Math, Science and Technical, and Spatial. Assembling Objects is the only Spatial subtest.

The enlistment test includes Assembling Objects, but the school testing program leaves it out. School testers receive three composite scores: Verbal Skills, Math Skills, and Science and Technical Skills.

The CAT-ASVAB is adaptive: a right answer usually brings a harder question, and a wrong answer brings an easier one.

Tryout questions do not count toward your score, but treat every question seriously. Calculators are not allowed.

AFQT and job scores

The AFQT is not a separate exam. It is a score computed from four ASVAB subtests: Arithmetic Reasoning, Mathematics Knowledge, Word Knowledge, and Paragraph Comprehension.

AFQT scores are reported as percentiles from 1 to 99, not as percent correct. A 62 means you did as well as or better than 62 percent of the comparison group.

AFQT categories group scores: Category I is 93 to 99, Category II is 65 to 92, Category IIIA is 50 to 64, and the lowest is Category V at 1 to 9.

Subtest standard scores are a different scale. A 50 on a subtest means about half the comparison group scored at or above it.

Job scores use different names by branch. The Army calls job scores line scores and uses VE from Word Knowledge and Paragraph Comprehension. The Navy calls an enlisted job a rating, and the Air Force uses MAGE composites: Mechanical, Administrative, General and Electronics.

Auto Information and Shop Information are reported as one combined Auto and Shop score, called AS.

Retakes, PiCAT, and branch minimums

ASVAB scores can be used for enlistment for up to two years after testing. School ASVAB scores can count if they are verified as yours, and School Staff Testing scores need a short Verification Test first.

After your first ASVAB, you must wait one calendar month to retest. A second retest also needs a one-month wait, and later retests need six months between them.

If your AFQT gains 20 or more points within six months, you take a confirmation test. If you skip it, you must wait six months for a standard retest.

The PiCAT is an online, unproctored ASVAB for people who have never taken the ASVAB. After a good PiCAT score, you take a short Vtest within 45 days for the score to count.

Branch minimums change over time. As of 2026, goarmy.com says the Army requires an AFQT of at least 31, and the Army's Future Soldier Preparatory Course helps people with at least 21.

As of 2026, airforce.com says high school seniors or graduates need at least 31 AFQT and GED holders need at least 50.

Numbers to remember

ItemValueSource
CAT-ASVAB subtests10ASVAB FAQs
MEPS locations65What to Expect When You Take the ASVAB (officialasvab.com)
ASVAB score use for enlistment2 yearsASVAB FAQs
First and second retest wait1 calendar month eachASVAB Retest Policy (officialasvab.com)
Later retest wait6 monthsASVAB Retest Policy (officialasvab.com)
Army minimum AFQT 202631ASVAB Entrance Test (goarmy.com)

Knowledge check

Choose an answer before reading the answer key.

  1. What type of test is the ASVAB?

    1. A battery of tests given together for military enlistment
    2. A driving test
    3. A single physical fitness exam
    4. A high school history exam
  2. If the computer version of the ASVAB counts Auto Information and Shop Information as separate subtests, what is the total number of subtests on the CAT-ASVAB?

    1. 8
    2. 11
    3. 9
    4. 10
  3. A score at the 62nd percentile means the test taker performed how relative to the comparison group?

    1. In the bottom 38 percent
    2. Answered 62 percent of questions correctly
    3. As well as or better than 62 percent
    4. Worse than 62 percent
  4. After taking a good PiCAT, what must happen before it counts as your official score?

    1. Complete six months of training
    2. Retake the full ASVAB at MEPS
    3. Wait six months
    4. Take a short proctored Vtest within 45 days
  5. As of 2026, what minimum AFQT does the Army require to enlist?

    1. 31
    2. 65
    3. 21
    4. 50

Answer key

  1. A. A battery of tests given together for military enlistment. ASVAB stands for Armed Services Vocational Aptitude Battery, a battery or group of tests used for military enlistment. ASVAB Fact Sheet (officialasvab.com)
  2. D. 10. The CAT-ASVAB has 10 subtests, with Auto Information and Shop Information separate. ASVAB FAQs
  3. C. As well as or better than 62 percent. AFQT percentiles compare you with a national group, so 62 means better than 62 percent. ASVAB FAQs
  4. D. Take a short proctored Vtest within 45 days. The PiCAT must be confirmed with a Vtest within 45 days. ASVAB: Unproctored Administration of the ASVAB: PiCAT
  5. A. 31. goarmy.com lists a minimum AFQT of 31 for Army enlistment as of 2026. ASVAB Entrance Test (goarmy.com)

Sources for this lesson

Lesson 2 of 8

Verbal Skills: Word Knowledge and Paragraph Comprehension

Build vocabulary through synonyms and learn how to answer detail, inference, and main idea questions.

What you will learn

  • Choose the closest synonym for common ASVAB vocabulary.
  • Use sentence context to pick the correct meaning of a word.
  • Identify detail, inference, and main idea questions.
  • Explain clue words that signal a twist in a passage.

How Word Knowledge works

Word Knowledge items ask you to choose the word that most nearly means the same as the test word. You are looking for a synonym.

Some words have more than one meaning. The sentence tells you which meaning fits. Apprehension can mean arrest, but in a sentence about a good record it means anxiety.

Be careful with words that sound like other words. Candid sounds like candy, but candid means honest.

Eight words to know

Antagonize most nearly means provoke. Wilted most nearly means limp, like a plant that has lost water.

Apprehension most nearly means anxiety in the sample sentence. Quiver means shake with a small trembling motion.

Diligent most nearly means hardworking. Frugal most nearly means thrifty, or careful in spending.

Candid most nearly means honest. Obsolete most nearly means outdated or no longer useful.

How Paragraph Comprehension works

Detail questions are answered by finding the exact sentence in the passage. Do not rely on outside knowledge.

Inference questions ask what the author suggests, not what is stated word for word. The east Texas passage suggests the land does not look like a desert.

Main idea questions want the choice that covers the whole passage. The glass placement passage is about controlling heat gain and loss, not any single detail.

Words like deception and irony are clues that things are not what they seem. In the storm passage, the clear sky makes it seem like no storm is coming.

Knowledge check

Choose an answer before reading the answer key.

  1. Which action is an example of antagonizing someone?

    1. Praising them
    2. Provoking their anger
    3. Help them finish a task
    4. Ignoring them
  2. A person who carefully limits spending and wastes little is best described as which word?

    1. Generous
    2. Wasteful
    3. Careless
    4. Thrifty
  3. A passage says people enter east Texas expecting sand and cacti. What does the passage suggest east Texas does not resemble?

    1. Forest
    2. Desert
    3. Lake
    4. City
  4. In the sun and overhang passage, what is the main purpose of good glass placement?

    1. Decorate the home
    2. Collect rain
    3. Control heat gain and loss
    4. Block all sunlight
  5. In the phrase 'no reason for apprehension,' the word apprehension most likely refers to what feeling?

    1. Excitement
    2. Hunger
    3. Pride
    4. Anxiety

Answer key

  1. B. Provoking their anger. Antagonize means to provoke hostility, so provoking anger is the example. Antagonize Definition and Meaning | Merriam-Webster
  2. D. Thrifty. Frugal means careful in spending, which is thrifty. frugal (Merriam-Webster)
  3. B. Desert. The passage surprises readers who expect sand and cacti, so the land does not look like a desert. Paragraph Comprehension Sample Questions | Official ASVAB
  4. C. Control heat gain and loss. The passage ties winter heat gain and summer shade to saving fuel. Paragraph Comprehension Sample Questions | Official ASVAB
  5. D. Anxiety. Apprehension means fear or worry about the future, so anxiety fits. Apprehension Definition and Meaning | Merriam-Webster

Sources for this lesson

Lesson 3 of 8

Arithmetic Reasoning

Practice percent, ratio, rate, distance, average, interest, work, and measurement problems like those on the ASVAB.

What you will learn

  • Solve percent problems including increase, decrease, discount, and sales tax.
  • Use ratios and unit rates to split totals and compare prices.
  • Apply distance, rate, and average formulas.
  • Calculate simple interest, combined work rates, and US measurement conversions.

Percent problems

To find a percent of a number, write the percent as a decimal and multiply. For example, 15% of 80 is 0.15 times 80, which equals 12.

A percent increase uses the original amount. A $40 item that rises by 25% gains 10 dollars, so the new price is $50.

Percent decrease also uses the original amount. A stock drop from $80 to $60 is a 20 dollar decrease, and 20 divided by 80 is 25%.

A discount is a percent off the original price. A $60 jacket that is 20% off has a discount of 12 dollars, so the sale price is $48. A 20% discount means the buyer pays 80%.

Sales tax is a percent of the purchase price. An 8% tax on a $30 meal is $2.40, so the total is $32.40.

To find what percent one number is of another, divide the part by the whole. Because 36 divided by 48 is 0.75, 36 is 75% of 48.

Ratios and rates

A ratio compares parts. In a 3:5 ratio with a total of 64, add 3 and 5 to get 8 equal parts. Each part is 8, so the amounts are 24 and 40.

A win to loss ratio of 7:3 with 40 games means 10 total parts. Each part is 4 games, so the team has 7 times 4, or 28, wins.

Map scale is a ratio. If 1 inch equals 8 miles, then 3.5 inches equals 3.5 times 8, or 28 miles.

Unit price helps compare costs. If 5 pounds of apples cost $6.50, one pound costs $1.30, so 2 pounds cost $2.60.

A rate like 25 miles per gallon means the car travels 25 miles on one gallon. For 150 miles, divide 150 by 25 to get 6 gallons.

Distance, time, and averages

Distance equals rate multiplied by time. A car moving 55 miles per hour for 3.5 hours travels 55 times 3.5, or 192.5 miles.

Average speed is distance divided by time. A train that goes 120 miles in 3 hours has an average speed of 40 miles per hour.

To find an average, add all the values and divide by the number of values. The average of 78, 85, 92, 87, and 83 is 425 divided by 5, or 85.

If speed stays the same, distance and time grow together. At 40 mph, a train covers 200 miles in 5 hours.

Interest, work, and measurement

Simple interest is found with I equals P times r times t. $800 at 5% for 2 years earns 40 dollars per year, for 80 dollars total.

You can solve for a missing interest rate. If $500 earns $75 in 3 years, 75 equals 500 times r times 3, so r equals 0.05, or 5%.

Work problems add rates, not times. Worker A finishes in 6 hours and Worker B in 3 hours, so together they do 1/6 plus 1/3 of the job per hour. That is 1/2 job per hour, so the job takes 2 hours.

Two pipes filling a tank in 5 hours and 10 hours work together at 3/10 tank per hour. The time is 10/3 hours, or 3 and 1/3 hours.

One mile is 5,280 feet. Three miles is 15,840 feet.

One gallon is 16 cups. Two gallons is 32 cups.

Numbers to remember

ItemValueSource
Miles to feet1 mile = 5,280 feetOpenStax Prealgebra 2e, 7.5 Systems of Measurement
Gallons to cups1 gallon = 16 cupsOpenStax Prealgebra 2e, 7.5 Systems of Measurement

Knowledge check

Choose an answer before reading the answer key.

  1. What is 20% of 90?

    1. 20
    2. 45
    3. 18
    4. 72
  2. A $50 shirt is 20% off. What is the sale price?

    1. $30
    2. $40
    3. $10
    4. $45
  3. A ratio of 2:3 has a total of 50. What are the parts?

    1. 2 and 3
    2. 20 and 30
    3. 25 and 25
    4. 10 and 40
  4. Worker A can complete a job in 4 hours alone, and Worker B can do it in 4 hours alone. How long together?

    1. 1 hour
    2. 2 hours
    3. 4 hours
    4. 8 hours
  5. How many feet are in 2 miles?

    1. 10,560
    2. 5,280
    3. 3,280
    4. 20,000

Answer key

  1. C. 18. Convert 20% to 0.20 and multiply by 90. OpenStax Prealgebra 2e, 6.1 Understand Percent
  2. B. $40. 20% of 50 is 10, so the sale price is 40. OpenStax Prealgebra 2e, 6.3 Solve Sales Tax, Commission, and Discount Applications
  3. B. 20 and 30. The sum of parts is 5, each part is 10, so the parts are 20 and 30. OpenStax Prealgebra 2e, 5.6 Ratios and Rate
  4. B. 2 hours. Their combined rate is 1/4 plus 1/4, or 1/2 job per hour, so the job takes 2 hours. OpenStax Intermediate Algebra 2e, 7.5 Solve Applications with Rational Equations
  5. A. 10,560. Multiply 5,280 feet per mile by 2. OpenStax Prealgebra 2e, 7.5 Systems of Measurement

Sources for this lesson

Lesson 4 of 8

Mathematics Knowledge

Review the math rules behind order of operations, fractions, exponents, roots, and geometry.

What you will learn

  • Apply the order of operations and solve one-step or two-step equations.
  • Add, multiply, and divide fractions.
  • Simplify exponents, square roots, and evaluate factorials.
  • Find perimeter, area, and triangle parts.

Order, equations, and number types

Use PEMDAS: parentheses, exponents, multiply or divide left to right, then add or subtract left to right. In 4 plus 6 times 2 minus 3, multiply first to get 4 plus 12 minus 3, which is 13.

Parentheses change the order. In (3 plus 5) squared divided by 4, do the parentheses to get 8, square it to 64, then divide by 4 to get 16.

To solve 2x plus 6 equals 20, subtract 6 from both sides to get 2x equals 14, then divide both sides by 2 to get x equals 7.

To solve x divided by 4 minus 3 equals 2, add 3 to both sides to get x divided by 4 equals 5, then multiply both sides by 4 to get x equals 20.

A prime number has exactly two factors: 1 and itself. 29 is prime, but 21 and 27 are composite because they can be factored.

A factorial multiplies a whole number by every positive smaller whole number. 5 factorial equals 5 times 4 times 3 times 2 times 1, which is 120.

Fractions

To add fractions, use a common denominator. 1/2 plus 1/3 becomes 3/6 plus 2/6, which is 5/6.

To multiply fractions, multiply numerators and denominators. 3/4 times 2/5 equals 6/20, which simplifies to 3/10.

To divide fractions, multiply by the reciprocal. 3/4 divided by 2/5 equals 3/4 times 5/2, which is 15/8.

Exponents and square roots

An exponent tells how many times to multiply the base. 3 to the fourth power means 3 times 3 times 3 times 3, which is 81.

Any nonzero base to the zero power equals 1. So 7 to the zero power is 1.

A negative exponent means take the reciprocal of the positive power. 2 to the negative third power equals 1 over 2 cubed, or 1/8.

The positive square root of 144 is 12 because 12 times 12 is 144. Every positive number also has a negative square root.

To simplify the square root of 50, pull out the largest perfect square factor. 50 is 25 times 2, so the root simplifies to 5 times the square root of 2.

Geometry

The area of a rectangle is length times width. A 9 meter by 6 meter rectangle has area 54 square meters.

The perimeter of a rectangle is the distance around it: 2 times the sum of length and width. A 12 inch by 5 inch rectangle has perimeter 34 inches.

The area of a circle is pi times radius squared. A circle with radius 7 centimeters has area 49 pi square centimeters.

The circumference of a circle is 2 times pi times radius. A circle with radius 10 meters has circumference 20 pi meters.

The three angles of a triangle add up to 180 degrees. If two angles are 55 degrees and 65 degrees, the third is 60 degrees.

In a right triangle, the Pythagorean theorem says the squares of the legs add to the square of the hypotenuse. With legs 6 and 8, the hypotenuse is 10.

Numbers to remember

ItemValueSource
Degrees in a triangle180 degreesOpenStax Prealgebra 2e, Use Properties of Angles, Triangles, and the Pythagorean Theorem
Positive square root of 14412OpenStax Prealgebra 2e, Simplify and Use Square Roots
5 factorial120OpenStax College Algebra 2e, Sequences and Their Notations
0 factorial1 by definitionOpenStax College Algebra 2e, Sequences and Their Notations

Knowledge check

Choose an answer before reading the answer key.

  1. Simplify 8 plus 2 times 5 minus 1.

    1. 17
    2. 9
    3. 25
    4. 49
  2. Solve x divided by 3 plus 2 equals 6.

    1. 4
    2. 24
    3. 12
    4. 3
  3. What is 4 to the second power?

    1. 16
    2. 8
    3. 12
    4. 64
  4. What is the area of a rectangle 7 meters long and 4 meters wide?

    1. 28 square meters
    2. 22 square meters
    3. 11 square meters
    4. 14 square meters
  5. If two angles of a triangle are 40 degrees and 70 degrees, what is the third?

    1. 80 degrees
    2. 70 degrees
    3. 110 degrees
    4. 60 degrees

Answer key

  1. A. 17. Multiply 2 by 5 first, then do 8 plus 10 minus 1. OpenStax Prealgebra 2e, Use the Language of Algebra
  2. C. 12. Subtract 2, then multiply both sides by 3 to get x equals 12. OpenStax Prealgebra 2e, Solve Equations with Fraction or Decimal Coefficients
  3. A. 16. 4 squared means 4 times 4, which is 16. OpenStax Prealgebra 2e, Use the Language of Algebra
  4. A. 28 square meters. Area is length times width, so 7 times 4. OpenStax Prealgebra 2e, Use Properties of Rectangles, Triangles, and Trapezoids
  5. B. 70 degrees. Triangle angles add to 180, so 180 minus 40 minus 70 is 70. OpenStax Prealgebra 2e, Use Properties of Angles, Triangles, and the Pythagorean Theorem

Sources for this lesson

Lesson 5 of 8

General Science

Review chemistry, cells, forces, and space facts that appear on the ASVAB General Science subtest.

What you will learn

  • Explain how solutes change freezing point and convert between Celsius and Fahrenheit.
  • Describe atomic number and noble gases.
  • Identify cell structures and Newton's laws of motion.
  • Name the largest and closest planets.

Chemistry and temperature

Salt spread on an icy sidewalk lowers the freezing point of water. Water with something dissolved in it freezes at a lower temperature than pure water, so the ice becomes slush.

Water boils at 212 degrees Fahrenheit at sea level. To convert Celsius to Fahrenheit, multiply by 1.8 and add 32.

An element's atomic number is the number of protons in its nucleus. That number decides which element the atom is.

Helium, neon, and argon are noble gases in group 18. They are also called inert gases because they rarely react.

Dry ice changes from solid straight to gas. This change is called sublimation, and the reverse is deposition.

Cells, forces, and motion

Mitochondria are called the powerhouse of the cell because they make most of the cell's ATP energy.

Red blood cells carry oxygen from the lungs to the body's tissues. White blood cells fight germs, and platelets help blood clot.

Newton's first law says an object in motion stays in motion unless an unbalanced force acts on it. A hockey puck slides until friction stops it.

Newton's third law says every action has an equal and opposite reaction. A rocket pushes hot gas down, and the gas pushes the rocket up.

Space science

Jupiter is the largest planet in the solar system. About 1,000 Earths could fit inside a hollow Jupiter, and Saturn is the second largest.

Mercury is both the closest planet to the Sun and the smallest planet. It is only slightly larger than Earth's Moon.

The order from the Sun starts Mercury, Venus, Earth, Mars.

Knowledge check

Choose an answer before reading the answer key.

  1. Why does salt help melt ice on a sidewalk?

    1. It adds heat to the ice
    2. It lowers the freezing point of water
    3. It raises the boiling point
    4. It removes water from the ice
  2. 100 degrees Celsius equals what in Fahrenheit?

    1. 132 degrees F
    2. 180 degrees F
    3. 100 degrees F
    4. 212 degrees F
  3. Which part of a cell makes most of its energy?

    1. Mitochondria
    2. Nucleus
    3. Cell wall
    4. Cytoplasm
  4. A rocket pushes hot gas down and moves up. Which law explains that?

    1. Newton's third law
    2. Newton's second law
    3. Law of gravity
    4. Newton's first law
  5. Which planet is the largest?

    1. Saturn
    2. Mercury
    3. Mars
    4. Jupiter

Answer key

  1. B. It lowers the freezing point of water. Dissolved salt makes water freeze at a lower temperature, so the ice melts. OpenStax Chemistry 2e, Colligative Properties
  2. D. 212 degrees F. 100 Celsius times 1.8 plus 32 equals 212 Fahrenheit. Official ASVAB: General Science sample questions
  3. A. Mitochondria. Mitochondria produce ATP, the cell's main energy molecule. OpenStax Biology 2e, 4.3 Eukaryotic Cells
  4. A. Newton's third law. The action of pushing gas down creates an equal and opposite reaction pushing the rocket up. NASA Glenn Research Center: Newton's Laws of Motion
  5. D. Jupiter. Jupiter is the largest planet in the solar system. NASA Science, Planet Sizes and Locations

Sources for this lesson

Lesson 6 of 8

Electronics Information

Study basic circuits, current, voltage, resistance, and common electronic parts.

What you will learn

  • Use Ohm's law to find current from voltage and resistance.
  • Tell AC from DC and conductors from insulators.
  • Combine series resistors and explain diode behavior.
  • Read resistor color bands and chassis ground.

Current, voltage, and resistance

Ohm's law is V equals I times R. Current I equals V divided by R, so a 12-volt battery and a 4-ohm resistor create 3 amps.

Resistance is measured in ohms. An ohmmeter measures resistance, a voltmeter measures voltage, and an ammeter measures current.

AC means alternating current, which keeps reversing direction. DC means direct current, which flows one way like a battery.

Copper wire is a conductor because it lets charge move easily. Glass and rubber are insulators because they hold electrons tightly. Pure water is also an insulator.

Circuits and devices

In a series circuit, resistances add. Resistors of 2, 3, and 5 ohms in series total 10 ohms, and the same current flows through each.

A diode acts like a one-way valve for current. It lets current flow in only one direction, which is used to change AC into DC, called rectification.

Solid state diodes have no heated filament, unlike vacuum tubes. That means they need far less operating power.

Color codes and reference points

The resistor color code lists red as the number 2. The order starts black 0, brown 1, red 2, then continues to white 9.

On many resistors, a gold band means 5 percent tolerance and silver means 10 percent tolerance.

A metal chassis used as ground is treated as zero volts. All other circuit voltages are measured relative to that zero reference.

Numbers to remember

ItemValueSource
Ohm's law example current3 ampsOpenStax College Physics 2e, 20.2 Ohm's Law
Series resistance example10 ohmsOpenStax College Physics 2e, 21.1 Resistors in Series and Parallel
Red color code number2US War Department TM 11-4000, Resistor Color Codes

Knowledge check

Choose an answer before reading the answer key.

  1. A 12-volt battery is connected to a 4-ohm resistor. What current flows?

    1. 0.33 amps
    2. 3 amps
    3. 12 amps
    4. 48 amps
  2. Which instrument measures resistance?

    1. Ohmmeter
    2. Wattmeter
    3. Ammeter
    4. Voltmeter
  3. Three resistors, 4, 6, and 10 ohms, are wired in series. What is the total resistance?

    1. 2 ohms
    2. 20 ohms
    3. 16 ohms
    4. 5 ohms
  4. In the resistor color code, red stands for which number?

    1. 3
    2. 2
    3. 1
    4. 0
  5. What does a diode do?

    1. Stores energy
    2. Lets current flow in only one direction
    3. Measures voltage
    4. Converts DC to AC

Answer key

  1. B. 3 amps. By Ohm's law, current is 12 volts divided by 4 ohms. OpenStax College Physics 2e, 20.2 Ohm's Law
  2. A. Ohmmeter. An ohmmeter measures resistance in ohms. Fluke, Common Electrical Measurements
  3. B. 20 ohms. Series resistances add. OpenStax College Physics 2e, 21.1 Resistors in Series and Parallel
  4. B. 2. The color code order is black 0, brown 1, red 2, orange 3. US War Department TM 11-4000, Resistor Color Codes
  5. B. Lets current flow in only one direction. A diode is a one-way valve for current. US Navy NEETS Module 7: Introduction to Solid-State Devices and Power Supplies

Sources for this lesson

Lesson 7 of 8

Auto and Shop

Review four-stroke engines, ignition systems, vehicle electrical and brake systems, and safe shop tool use.

What you will learn

  • State the four strokes of a gasoline engine in order.
  • Compare gasoline spark ignition and diesel compression ignition.
  • Explain the roles of the alternator and hydraulic brakes.
  • Choose and use basic shop tools safely.

Four-stroke engine basics

The four strokes in order are intake, compression, power, and exhaust. Intake draws in air and fuel, compression squeezes the mixture, power burns it and pushes the piston down, and exhaust pushes out burned gas.

In a four-stroke engine, each stroke is half a turn of the crankshaft. One power stroke needs two full crankshaft turns.

A two-stroke engine fires once every crankshaft turn, but a four-stroke fires once every two turns. The flywheel keeps the crankshaft spinning smoothly between power strokes.

Gasoline and diesel ignition

A gasoline car engine uses a spark from the spark plug to ignite the air and fuel mixture. The car's computer sets the ignition timing.

A diesel engine has no spark plugs for ignition. It squeezes air so hard that the air becomes very hot, and the heat lights the fuel when it is injected.

Because of this, gasoline engines are spark-ignited and diesel engines are compression-ignition engines.

Vehicle electrical and brake systems

The alternator recharges the car battery while the engine is running. The starter only cranks the engine, and a slipping drive belt can leave the battery run down.

Most car brakes are hydraulic. The brake pedal pushes a master cylinder piston, and brake fluid in sealed lines carries the push to pistons at the wheels.

Big trucks often use air brakes instead of hydraulic fluid. A cable usually works only the parking brake.

Shop tool safety and use

A ripsaw cuts along the grain of wood, a crosscut saw cuts across the grain, and a hacksaw cuts metal.

A machinist's cold chisel cuts cold metal. You strike it with a hammer, and punches with mushroomed ends should be replaced.

Never use a file without a securely attached handle, except for small Swiss pattern files. A file cuts on the forward stroke, so press down only on that stroke.

With an adjustable wrench, the fixed jaw should take the pressure. The movable jaw can slip or spread because it is set by a small worm gear.

A torque wrench measures exactly how tight a nut or bolt is. Treat it as a precision instrument.

Numbers to remember

ItemValueSource
Crankshaft turns per four-stroke power stroke2 turnsArmy TM 9-8000: Principles of Automotive Vehicles

Knowledge check

Choose an answer before reading the answer key.

  1. What happens immediately after the exhaust stroke in a four-stroke gasoline engine?

    1. The compression stroke starts
    2. The intake stroke begins again
    3. The engine stops automatically
    4. The power stroke repeats
  2. In a four-stroke engine, one power stroke needs how many crankshaft turns?

    1. Two
    2. Three
    3. Four
    4. One
  3. Diesel fuel is ignited by what?

    1. Heat from compressed air
    2. A battery
    3. The alternator
    4. A spark plug
  4. Which part recharges the battery while the engine is running?

    1. Alternator
    2. Fuel pump
    3. Spark plug
    4. Starter
  5. Which handsaw is made for cutting along the grain?

    1. Crosscut saw
    2. Hacksaw
    3. Ripsaw
    4. Backsaw

Answer key

  1. B. The intake stroke begins again. After the exhaust stroke pushes out burned gas, the cycle starts again with intake. OpenStax College Physics 2e, 15.3 Heat Engines and Their Efficiency
  2. A. Two. Each stroke is half a turn, and four strokes make two turns. Army TM 9-8000: Principles of Automotive Vehicles
  3. A. Heat from compressed air. Diesel engines compress air until it is hot enough to ignite the fuel. Army TM 9-8000: Principles of Automotive Vehicles
  4. A. Alternator. The alternator returns charge to the battery and powers the electronics. US Navy NEETS Module 5: Introduction to Generators and Motors
  5. C. Ripsaw. A ripsaw is designed for cutting with the grain. US Navy, Tools and Their Uses

Sources for this lesson

Lesson 8 of 8

Mechanical Comprehension

Learn the simple machines and pressure ideas behind levers, pulleys, gears, ramps, and hydraulics.

What you will learn

  • Calculate mechanical advantage in a lever and classify lever types.
  • Predict pulley and gear direction and speed.
  • Explain how ramps and pressure work.
  • Use Pascal's law to calculate hydraulic force.

Levers

For a lever, effort times effort distance equals load times load distance. In the wheelbarrow example, 50 pounds times 4 feet equals a 200-pound load times 1 foot.

A wheelbarrow is a second-class lever because the load sits between the wheel, the fulcrum, and your hands.

A seesaw with the pivot in the middle is a first-class lever. The fulcrum sits between the effort and the load, as in crowbars, shears, and pliers.

Pulleys and gears

A single fixed pulley has a mechanical advantage of 1. It does not reduce force; it only changes the direction of pull, so you can pull down to raise a flag.

A block and tackle with 4 rope sections pulling up has a mechanical advantage of about 4. Pulling about 100 pounds can lift a 400-pound load, but you must pull 4 feet of rope to lift it 1 foot.

Two outside gears that mesh turn in opposite directions. Adding an idler gear reverses direction again but does not change the gear ratio.

A 100-tooth gear driving a 25-tooth gear makes the small gear turn 4 times for each turn of the big gear, because each tooth moves one tooth.

Ramps and pressure

Pushing a cart up a ramp is easier than lifting it straight up because the ramp lets you use less force over a longer distance. Ignoring friction, the work is the same.

A longer, gentler ramp needs even less force. A screw is an inclined plane wrapped around a cylinder.

Pressure is force divided by area. A 200-pound force spread evenly over 4 square inches produces 50 pounds per square inch.

The same force on a smaller area makes higher pressure. That is why a sharp knife cuts better than a dull one.

Hydraulics

Pascal's law says pressure in an enclosed fluid is transmitted undiminished. That means a small piston can create pressure that moves a larger piston.

If 50 pounds pushes a 1-square-inch hydraulic piston, it creates 50 psi. A 10-square-inch big piston then exerts about 500 pounds.

The distance trade-off is opposite: the big piston moves one tenth as far as the small piston.

Numbers to remember

ItemValueSource
Wheelbarrow mechanical advantage4US Navy NAVEDTRA 14037: Basic Machines
Fixed pulley mechanical advantage1OpenStax College Physics 2e, 9.5 Simple Machines
Pressure example50 psiOpenStax College Physics 2e, 11.3 Pressure

Knowledge check

Choose an answer before reading the answer key.

  1. A lever has an effort of 40 pounds at 6 feet from the fulcrum. If the load is 2 feet from the fulcrum, what load can it lift?

    1. 40 pounds
    2. 240 pounds
    3. 80 pounds
    4. 120 pounds
  2. A fixed pulley on a flagpole has what mechanical advantage?

    1. 4
    2. 2
    3. 1
    4. 0
  3. A 60-tooth gear drives a 20-tooth gear. For each turn of the big gear, how many turns does the small gear make?

    1. 1/3
    2. 3
    3. 2
    4. 6
  4. A 300-pound force presses evenly on 5 square inches. What is the pressure?

    1. 30 psi
    2. 60 psi
    3. 1,500 psi
    4. 6 psi
  5. In a hydraulic system, 20 pounds pushes a 1-square-inch piston. The big piston is 8 square inches. What force can it exert?

    1. 80 pounds
    2. 2.5 pounds
    3. 160 pounds
    4. 20 pounds

Answer key

  1. D. 120 pounds. Effort times effort distance is 240, and dividing by the 2-foot load distance gives 120 pounds. US Navy NAVEDTRA 14037: Basic Machines
  2. C. 1. A fixed pulley only changes the direction of pull, so its mechanical advantage is 1. OpenStax College Physics 2e, 9.5 Simple Machines
  3. B. 3. 60 teeth divided by 20 teeth is 3 turns. US Navy NAVEDTRA 14037: Basic Machines
  4. B. 60 psi. Pressure is force divided by area, 300 divided by 5. OpenStax College Physics 2e, 11.3 Pressure
  5. C. 160 pounds. The small piston makes 20 psi, and 20 psi times 8 square inches is 160 pounds. OpenStax College Physics 2e, Pascal's Principle

Sources for this lesson

Practice checklist

  • โ˜ Review your AFQT subtests: Arithmetic Reasoning, Mathematics Knowledge, Word Knowledge, and Paragraph Comprehension.
  • โ˜ Practice math without a calculator, because calculators are not allowed.
  • โ˜ Work through one timed ASVAB sample set for a subtest you find hardest.
  • โ˜ Ask your recruiter for current branch minimums and retest rules before test day.
  • โ˜ Check whether you should take the PiCAT or the CAT-ASVAB with your recruiter.
  • โ˜ Get a full night of sleep before test day.

Keep learning

  • Review the official ASVAB sample questions for each subtest.
  • Use your practice test results to choose one weak area and study it daily.
  • Talk with a military recruiter about score requirements for your target job.
  • Plan retake timing around the one-month and six-month wait rules.
  • Keep practicing quick paper math and vocabulary synonyms.

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