Here is the list, which will be updated on a regular basis.

abandon to give up

abated past tense of abate, which means to bring down, reduce, diminish

abreast

absorption

abstain keep from, restrain

abstract

abundance

abundant

abysmal bottomless, pertaining to an abyss

accede agree, assent, associate with others

accentuate make prominent, emphasize

acclaim applaud, as a noun: receiving applause

accrue increase, grow in number or value, such as bank account

interest accruing daily, quarterly

acquiesce accept or agree to, but not with enthusiasm or strong

agreement

adept skilled, proficient

adipose related to animal fat, fat in cells of adipose tissue

adverse acting against, contrary, unfavorable

aesthetic related to senses such as sight

affectation false display, artificial show

affinity relationship, attraction

affix attach, annex, fix or fasten

affliction distress, state of pain or grief; synonyms are calamity,

distress

aghast terrified, amazed with a sense of horror or terror

agility quality of being to move quickly and easily

aimless without aim or purpose

alacrity cheerful readiness, eager brisk willingness

alias another name by which a person or object is known

allay pacify or appease, alleviate, mitigate

allegiance

allele [science]

allusion

aloof no sympathy or regard a person without any favor or sympathy

altercation a dispute that may involve verbal argument, but may

involve fighting

ambivalent

amicable friendly

amiss astray, faulty, out of order

ampere [electronics] the unit of electric current, one coulomb of

electrons passing a point in one second

ample abundant, sufficient to satisfy a requirement for …

anachronistic erroneous, out of date

anarchy confusion or disorder, absence of government

anion an atom that has gained an electron and now has a negative

charge

anomie feeling that one has no personal purpose in the world

antagonist opponent, adversary

anthology a collection

anxious

apathetic indifferent, without any emotion

apparition ghost, specter

appellation word by which a person is known or called, Mr.,

Corporal, etc.

appoint

approbation the act of approving, synonyms include approval,

consent

aptitude

archaic

arid

arrogant

articulate clear expression, distinctly spoken

artistic demonstration of imagination and skill in art, sensitive to art

and beauty

arsenal

ascertain find out or learn for certain

ascetic austere, severe

askew awry, out of order, misplaced

assent

assert

assist aid or support

atonement making reparation , making amends

attentive

audition an appearance before a judge or judges who decide if the

person shall be chosen for a place or part

auger a hand tool used for drilling holes, a machine that drills holes

augment increase or enlarge in size or number

authentic genuine, original

autonomous independent,, able to control its own action or

govern itself

avarice excessive desire for gain, greediness

average in arithmetic, the sum of a set of numbers divided by the

total number of numbers

averse

avert turn aside, ward off, prevent

Avogadro’s Law [science]

AWG = American Wire Guage

awl [shop tool]

abated past tense of abate, which means to bring down, reduce, diminish

abreast

absorption

abstain keep from, restrain

abstract

abundance

abundant

abysmal bottomless, pertaining to an abyss

accede agree, assent, associate with others

accentuate make prominent, emphasize

acclaim applaud, as a noun: receiving applause

accrue increase, grow in number or value, such as bank account

interest accruing daily, quarterly

acquiesce accept or agree to, but not with enthusiasm or strong

agreement

adept skilled, proficient

adipose related to animal fat, fat in cells of adipose tissue

adverse acting against, contrary, unfavorable

aesthetic related to senses such as sight

affectation false display, artificial show

affinity relationship, attraction

affix attach, annex, fix or fasten

affliction distress, state of pain or grief; synonyms are calamity,

distress

aghast terrified, amazed with a sense of horror or terror

agility quality of being to move quickly and easily

aimless without aim or purpose

alacrity cheerful readiness, eager brisk willingness

alias another name by which a person or object is known

allay pacify or appease, alleviate, mitigate

allegiance

allele [science]

allusion

aloof no sympathy or regard a person without any favor or sympathy

altercation a dispute that may involve verbal argument, but may

involve fighting

ambivalent

amicable friendly

amiss astray, faulty, out of order

ampere [electronics] the unit of electric current, one coulomb of

electrons passing a point in one second

ample abundant, sufficient to satisfy a requirement for …

anachronistic erroneous, out of date

anarchy confusion or disorder, absence of government

anion an atom that has gained an electron and now has a negative

charge

anomie feeling that one has no personal purpose in the world

antagonist opponent, adversary

anthology a collection

anxious

apathetic indifferent, without any emotion

apparition ghost, specter

appellation word by which a person is known or called, Mr.,

Corporal, etc.

appoint

approbation the act of approving, synonyms include approval,

consent

aptitude

archaic

arid

arrogant

articulate clear expression, distinctly spoken

artistic demonstration of imagination and skill in art, sensitive to art

and beauty

arsenal

ascertain find out or learn for certain

ascetic austere, severe

askew awry, out of order, misplaced

assent

assert

assist aid or support

atonement making reparation , making amends

attentive

audition an appearance before a judge or judges who decide if the

person shall be chosen for a place or part

auger a hand tool used for drilling holes, a machine that drills holes

augment increase or enlarge in size or number

authentic genuine, original

autonomous independent,, able to control its own action or

govern itself

avarice excessive desire for gain, greediness

average in arithmetic, the sum of a set of numbers divided by the

total number of numbers

averse

avert turn aside, ward off, prevent

Avogadro’s Law [science]

AWG = American Wire Guage

awl [shop tool]

baluster [shop]

banal commonplace, trivial, trite

banish

barbarous uncivilized, rude, being a barbarian

befell

beneficial

berth nautical term for the place where a ship lies at anchor or at

a wharf

beseech beg, plead

bestow

bevel rip [shop tool]

binomial [mathematics]

biome plants and animals that have common characteristics due to

similar climate

biscuit joiner [shop] woodworking tool used to join two pieces of wood

together

bleak colorless, desolate, cold and cutting

blemish noun: mark, deformity, imperfection; verb: tarnish, defame,

deform

boisterous synonyms are load, roaring, violent, rude

Boyle’s Law [science]

brace a thing which holds something or supports it, also as a verb

brad a thin nail

breach noun or verb. noun: a gap common verb use: to break

through in law breaking or infraction of obligation

breadboard [electronics]

brevity concise, of few words

buoyancy

butane [science]

banal commonplace, trivial, trite

banish

barbarous uncivilized, rude, being a barbarian

befell

beneficial

berth nautical term for the place where a ship lies at anchor or at

a wharf

beseech beg, plead

bestow

bevel rip [shop tool]

binomial [mathematics]

biome plants and animals that have common characteristics due to

similar climate

biscuit joiner [shop] woodworking tool used to join two pieces of wood

together

bleak colorless, desolate, cold and cutting

blemish noun: mark, deformity, imperfection; verb: tarnish, defame,

deform

boisterous synonyms are load, roaring, violent, rude

Boyle’s Law [science]

brace a thing which holds something or supports it, also as a verb

brad a thin nail

breach noun or verb. noun: a gap common verb use: to break

through in law breaking or infraction of obligation

breadboard [electronics]

brevity concise, of few words

buoyancy

butane [science]

calamity

caliber diameter of a cylindrical body, such as a bullet

caliper [shop and mechanical] measuring instrument with two metal

legs that is used to measure distance between opposite sides

callow immature, boyish

cam

camaraderie shared good feelings with others who have a common

bond

camber In automotive use, the camber angle is the degrees the tire is

set off from perpendicular

camouflage conceal, hide by covering or painting

camshaft An engine shaft that one or more cams used in lifting

the valves of the engine

capacitor [electronics]

capacitive reactance the measure of opposition to alternating current

capsize upset or overturn

caprice abrupt change in feeling, opinion, or action

caste a social ranking of a group of people compared with

others

catalyst A chemical substance that modifies or increases the rate of

reaction, but is not in the reaction.

cation an ion with a positive charge that will move toward a negative

electrode

cat’s paw [auto and shop]

caustic burning, corrosive

caution to take care, to be on the watch, to warn, to be prudent

cautiously

cease to stop, to end

censure act of finding fault

centrifugal tending or causing to go out from the center

centripetal tending or causing to go toward the center

cessation

chafe wear by rubbing, to fret, to irritate

chamfer verb in carpentry, to cut a furrow or groove in

Charles’s Law [science]

chasm deep and wide opening

chisel [noun, verb; shop tool]

chuck [shop tool noun, also verb]

circumference [of circle = 2[value of pi]] the greek letter pi

civil

clash interfere, oppose, strike against

cleft space or opening made by splitting

clemency forgiveness,gentleness, usually granted by a judge or

authority with punishment power

cliche a word or phrase which is used too frequently

coaxial

coefficient mathematics: the number before the letter in a formula,

in mathematics: 2x 2 is the coefficient

cog

commendable

complementary [mathematics, degrees of a complementary angle

added to degrees of adjacent angle = 180]

caliber diameter of a cylindrical body, such as a bullet

caliper [shop and mechanical] measuring instrument with two metal

legs that is used to measure distance between opposite sides

callow immature, boyish

cam

camaraderie shared good feelings with others who have a common

bond

camber In automotive use, the camber angle is the degrees the tire is

set off from perpendicular

camouflage conceal, hide by covering or painting

camshaft An engine shaft that one or more cams used in lifting

the valves of the engine

capacitor [electronics]

capacitive reactance the measure of opposition to alternating current

capsize upset or overturn

caprice abrupt change in feeling, opinion, or action

caste a social ranking of a group of people compared with

others

catalyst A chemical substance that modifies or increases the rate of

reaction, but is not in the reaction.

cation an ion with a positive charge that will move toward a negative

electrode

cat’s paw [auto and shop]

caustic burning, corrosive

caution to take care, to be on the watch, to warn, to be prudent

cautiously

cease to stop, to end

censure act of finding fault

centrifugal tending or causing to go out from the center

centripetal tending or causing to go toward the center

cessation

chafe wear by rubbing, to fret, to irritate

chamfer verb in carpentry, to cut a furrow or groove in

Charles’s Law [science]

chasm deep and wide opening

chisel [noun, verb; shop tool]

chuck [shop tool noun, also verb]

circumference [of circle = 2[value of pi]] the greek letter pi

civil

clash interfere, oppose, strike against

cleft space or opening made by splitting

clemency forgiveness,gentleness, usually granted by a judge or

authority with punishment power

cliche a word or phrase which is used too frequently

coaxial

coefficient mathematics: the number before the letter in a formula,

in mathematics: 2x 2 is the coefficient

cog

commendable

complementary [mathematics, degrees of a complementary angle

added to degrees of adjacent angle = 180]

composure

concept

conciliatory acting to bring together, to reconcile

concoction combinaton of different ingredients

conductance The opposite of resistance. The formula to measure

conductance is G = A/pL

A is the cross section area in cirular mils , p is the specific

resistance, and L is the length in feet. The Siemens is the name

given to the unit of conductance. R = 1/G G = 1/R

concept

conciliatory acting to bring together, to reconcile

concoction combinaton of different ingredients

conductance The opposite of resistance. The formula to measure

conductance is G = A/pL

A is the cross section area in cirular mils , p is the specific

resistance, and L is the length in feet. The Siemens is the name

given to the unit of conductance. R = 1/G G = 1/R

conduction

configure to arrange in a certain form, or to add specific equipment

to a device

confines

confound to confuse

confront oppose firmly

congruent agreeing, accordant in geometry items that have all points

coinciding

conjecture opinion or judgement made on a guess or presumptive

evidence

consensus agreement, accord

console as a verb to cheer up, to alleviate grief

constant

constrict make narrow, cause to shrink in diameter

configure to arrange in a certain form, or to add specific equipment

to a device

confines

confound to confuse

confront oppose firmly

congruent agreeing, accordant in geometry items that have all points

coinciding

conjecture opinion or judgement made on a guess or presumptive

evidence

consensus agreement, accord

console as a verb to cheer up, to alleviate grief

constant

constrict make narrow, cause to shrink in diameter

consummate adj. complete, perfect

contemplate

contempt

contrive devise, invent, plan

convection

converse commune, talk. It can also be be used to describe a

statement in which the parts are reversed.

conveyed carried, transferred, passed from one person to another

copious great quantity, abundant, plentify

corroborate

Coulomb [electronics] quantity of electricity moving past a point when

one volt and one ohm, or one ampere in one second

counterpart a part which has the same function in another thing, or a

person with the same job

courtesy

covalent [science]

covert

covet

cower to quail, to sink down in fear

crankshaft a shaft with one or more cranks, which are parts on the

shaft which are attached to a moving piece, such as the piston

with a rod connecting

craving

creed

crevice

crimson

criterion standard measuring something, judging something

accordingto a standard

critical very important, absence of a condition, or a part failure may

cause damage and injury

CRT cathode ray tube

culminate

cure [noun, sometime used to describe a process]

curtail stop, reduce, cut short

cytoplasm: Living material inside the cell membrane, but outside the

nucleus and organelles.

contemplate

contempt

contrive devise, invent, plan

convection

converse commune, talk. It can also be be used to describe a

statement in which the parts are reversed.

conveyed carried, transferred, passed from one person to another

copious great quantity, abundant, plentify

corroborate

Coulomb [electronics] quantity of electricity moving past a point when

one volt and one ohm, or one ampere in one second

counterpart a part which has the same function in another thing, or a

person with the same job

courtesy

covalent [science]

covert

covet

cower to quail, to sink down in fear

crankshaft a shaft with one or more cranks, which are parts on the

shaft which are attached to a moving piece, such as the piston

with a rod connecting

craving

creed

crevice

crimson

criterion standard measuring something, judging something

accordingto a standard

critical very important, absence of a condition, or a part failure may

cause damage and injury

CRT cathode ray tube

culminate

cure [noun, sometime used to describe a process]

curtail stop, reduce, cut short

cytoplasm: Living material inside the cell membrane, but outside the

nucleus and organelles.

dado blade [shop]

decennial a ten year period;

deception the act of deceiving or misleading; the state of being

deceived or misled

decibel [electronics]

decimation the destruction of a considerable part of something or

some group, such as 10% or more

deferred delayed

deficiency

delete

delirious

deluge

denominator [numerator/denominator 7/8]

denote mark , to point out

density

deplete use up or seriously reduce the supply of a thing.

deplore

deportment personal behavior

deride to ridicule

desist to stop, to cease

despair hopelessness, be the object of a feeling of hopelessness as a

person

decennial a ten year period;

deception the act of deceiving or misleading; the state of being

deceived or misled

decibel [electronics]

decimation the destruction of a considerable part of something or

some group, such as 10% or more

deferred delayed

deficiency

delete

delirious

deluge

denominator [numerator/denominator 7/8]

denote mark , to point out

density

deplete use up or seriously reduce the supply of a thing.

deplore

deportment personal behavior

deride to ridicule

desist to stop, to cease

despair hopelessness, be the object of a feeling of hopelessness as a

person

despot

destitution state of being without resources, state of being needy

deter

detest

deviate

dexterity skill and ease in using the hands

diagnose recognizing a condition, usually bad or confusing, which

affects a person or organization

diaphanous transparent material, although sometimes used to

describe translucent material

diameter

die [shop]

dielectric nonconductor

differential [automotive, mathematics]

diffident lacking confidence, modest, bashful, hesitant

diffuse to spread out in all directions, such as adding a liquid

to another liquid

diligent

diminish

destitution state of being without resources, state of being needy

deter

detest

deviate

dexterity skill and ease in using the hands

diagnose recognizing a condition, usually bad or confusing, which

affects a person or organization

diaphanous transparent material, although sometimes used to

describe translucent material

diameter

die [shop]

dielectric nonconductor

differential [automotive, mathematics]

diffident lacking confidence, modest, bashful, hesitant

diffuse to spread out in all directions, such as adding a liquid

to another liquid

diligent

diminish

din

diode [electronics]

disabuse undeceive, set free from mistake, set right

discern discriminate, distinguish

disconcerted in disorder or confusion, disordered or confused

disconnect sever, separate, dissolve a connection

disconsolate sad, filled with grief, melancholy, cheerless

discovered found, revealed, find something which was concealed or

secret

diode [electronics]

disabuse undeceive, set free from mistake, set right

discern discriminate, distinguish

disconcerted in disorder or confusion, disordered or confused

disconnect sever, separate, dissolve a connection

disconsolate sad, filled with grief, melancholy, cheerless

discovered found, revealed, find something which was concealed or

secret

disingenuous unworthy, not frank, lacking honor or dignity

disperse

dissension disagreement of opinion, usually strong or heated, with

angry words spoken

disseminate distribute, scatter,

dissipate scatter, disperse, destroy by wasteful use

dissent

dissuade persuade a person or organization to not do something, discourage

distort

doldrums a state of listlissness, ennui. Originally a part of the

ocean near the equator with light winds or calm, or storm squalls

domain

drab

dreary

drizzle

drudgery disagreeable or wearisome labor

droll amusing, provoking laughter, comical, humorous

dubious

disperse

dissension disagreement of opinion, usually strong or heated, with

angry words spoken

disseminate distribute, scatter,

dissipate scatter, disperse, destroy by wasteful use

dissent

dissuade persuade a person or organization to not do something, discourage

distort

doldrums a state of listlissness, ennui. Originally a part of the

ocean near the equator with light winds or calm, or storm squalls

domain

drab

dreary

drizzle

drudgery disagreeable or wearisome labor

droll amusing, provoking laughter, comical, humorous

dubious

ecosystem a system of interconnected organisms within their

environment

ecstatic delighted, an example of use is ecstatic bliss or joy

edge

electron [science, electronics]

electronegativity [science]

elementary

elevate

elite

eloquent

embark to start up, to engage

enchanting

encode

encounter face to face meeting, a sudden or incidental meeting, a

hostile meeting

endeavor

endoplasmic reticulum:

endothermic [science] requires the absorption of heat

enduring

energy level [science]

engrossing

enigma obscure saying, a riddle, some thing not satisfactorily

explained

enlightening

entente agreement

enumerate

entice

entreaty beseeching, petition, solicitation

equilateral [mathematics]

equivalent equal to

equivocal questionable

erratic

erect raise, set upright, build or construct

evoke

exalt elevate by praise, to glorify

excessive

exothermic [science] a chemical reaction that generates heat

expendable

expedient

expertise

exploit

expressive

exult be in high spirits, leap for joy, rejoice

environment

ecstatic delighted, an example of use is ecstatic bliss or joy

edge

electron [science, electronics]

electronegativity [science]

elementary

elevate

elite

eloquent

embark to start up, to engage

enchanting

encode

encounter face to face meeting, a sudden or incidental meeting, a

hostile meeting

endeavor

endoplasmic reticulum:

endothermic [science] requires the absorption of heat

enduring

energy level [science]

engrossing

enigma obscure saying, a riddle, some thing not satisfactorily

explained

enlightening

entente agreement

enumerate

entice

entreaty beseeching, petition, solicitation

equilateral [mathematics]

equivalent equal to

equivocal questionable

erratic

erect raise, set upright, build or construct

evoke

exalt elevate by praise, to glorify

excessive

exothermic [science] a chemical reaction that generates heat

expendable

expedient

expertise

exploit

expressive

exult be in high spirits, leap for joy, rejoice

facilitate

Farad [electronics] A Farad is the storage of electrons producing a

voltage difference of one volt across terminals while producing one

ampere per second. This is a very large unit, and most capacitors

have values measured in microfarads (thousandths of a Farad) or

picofarads.

fathom

feasible

feign

fertile

fervent ardent, earnest, intense spirit for a thing or idea

fiasco

filibuster an obstructive tactic that is allowed by the rules of procedure

to prevent another action from being taken

Farad [electronics] A Farad is the storage of electrons producing a

voltage difference of one volt across terminals while producing one

ampere per second. This is a very large unit, and most capacitors

have values measured in microfarads (thousandths of a Farad) or

picofarads.

fathom

feasible

feign

fertile

fervent ardent, earnest, intense spirit for a thing or idea

fiasco

filibuster an obstructive tactic that is allowed by the rules of procedure

to prevent another action from being taken

fitful

flammbable easily set on fire; regulatory agencies have set 100

degrees F. or 37.8 degrees C. as the flash point . Inflammable and

flammable mean the same thing, use nonflammable to describe

something that does not burn

flank

flaunt

flex

flexible

flammbable easily set on fire; regulatory agencies have set 100

degrees F. or 37.8 degrees C. as the flash point . Inflammable and

flammable mean the same thing, use nonflammable to describe

something that does not burn

flank

flaunt

flex

flexible

florid

flounder move in awkward way or respond to questions in an

awkward way, the fish known as the flounder lives on the bottom

and moves about by flopping

flout

flush

flux is a chemical that cleans the connection area. Melted solder flows

easily and prevents oxidation. Acid core flux is used to solder

sheet metal. Rosin flux is used in electrical and electronics work.

folio A collection of examples of a person’s work

forgive

formidable

Forstner bit [shop]

fortnight a time period of two weeks.

fractious

fret

furtive action undertaken to avoid detection, done by stealth, facial

expression and manners that attempt to conceal actions

garish

garnered

gaudy

gaunt

Gay-Lussac Law [science]

generic

germinate

ghastly

glare

glossy

grandeur

grate

grave

groan

guage

flounder move in awkward way or respond to questions in an

awkward way, the fish known as the flounder lives on the bottom

and moves about by flopping

flout

flush

flux is a chemical that cleans the connection area. Melted solder flows

easily and prevents oxidation. Acid core flux is used to solder

sheet metal. Rosin flux is used in electrical and electronics work.

folio A collection of examples of a person’s work

forgive

formidable

Forstner bit [shop]

fortnight a time period of two weeks.

fractious

fret

furtive action undertaken to avoid detection, done by stealth, facial

expression and manners that attempt to conceal actions

garish

garnered

gaudy

gaunt

Gay-Lussac Law [science]

generic

germinate

ghastly

glare

glossy

grandeur

grate

grave

groan

guage

haphazard

haggard

hapless

harden

harmony

haughty

heave

heed

Henry [electronics]

Hertz [electronics]

heptagon [mathematics 128 degree angles] sometimes; septagon

hexagon [mathematics 120 degree internal angles] 6 sides

hinder

hoard

homozygote

hopeless

hub

hysterical

igneous [science]

ignoble

immiscible

impair

impart

impartial

impassive

impedance [electronics]

impede deter, slow

impenetrable

imperative vital requirement

imperious

imperturbability not easily disturbed or activated

impetuous

implement

impose

impotent

improbable

imprudent

impunity

incense

incensed

incidental

incomprehensible

incredulous

indefatigable not capable of being fatigued, tireless

indignant

indispensable

indolent

induct

inductance The opposition to changes in circuit current. Unit of

measurement is the HENRY H. Inductance symbol is L. An

inductor has one Henry of inductance if the electromotive force

current through the coil changes at one Ampere per second.

induction

inductive reactance The opposition to alternating current by a coil of

wire. X subL = 2<value of pi>fL f is the frequency of alternating

current in hertz (example 60 hertz)

L = Inductance measured in Henry units

indulge

inert

inexorable

inexplicable

infer

infirm

inflammable A language surprise. It means the same as flammable.

Both terms refer to something that can easily catch fire and burn.

Use the word nonflammable when you seek a word to describe a

substance that does not burn or does not easily burn

inflict

inform

infraction violation

ingenious

inherent

iniquity

initiate

innate

inscribe

inscription

insolent

institute to establish

haggard

hapless

harden

harmony

haughty

heave

heed

Henry [electronics]

Hertz [electronics]

heptagon [mathematics 128 degree angles] sometimes; septagon

hexagon [mathematics 120 degree internal angles] 6 sides

hinder

hoard

homozygote

hopeless

hub

hysterical

igneous [science]

ignoble

immiscible

impair

impart

impartial

impassive

impedance [electronics]

impede deter, slow

impenetrable

imperative vital requirement

imperious

imperturbability not easily disturbed or activated

impetuous

implement

impose

impotent

improbable

imprudent

impunity

incense

incensed

incidental

incomprehensible

incredulous

indefatigable not capable of being fatigued, tireless

indignant

indispensable

indolent

induct

inductance The opposition to changes in circuit current. Unit of

measurement is the HENRY H. Inductance symbol is L. An

inductor has one Henry of inductance if the electromotive force

current through the coil changes at one Ampere per second.

induction

inductive reactance The opposition to alternating current by a coil of

wire. X subL = 2<value of pi>fL f is the frequency of alternating

current in hertz (example 60 hertz)

L = Inductance measured in Henry units

indulge

inert

inexorable

inexplicable

infer

infirm

inflammable A language surprise. It means the same as flammable.

Both terms refer to something that can easily catch fire and burn.

Use the word nonflammable when you seek a word to describe a

substance that does not burn or does not easily burn

inflict

inform

infraction violation

ingenious

inherent

iniquity

initiate

innate

inscribe

inscription

insolent

institute to establish

insubordination

insurmountable

insurrection

intensify

interior

interminable

intermittently

interpose

intimidate

intrusion

ionic

iridescent surface colors that seem to change when viewed from

different angles.

ironic

irk

irrational

irregular

irresolute

isobutane [science, shop]

isolation

isomer (chemistry) a molecule with the same chemical formula as

another molecule, but a different structure.

isosceles [geometry]

itinerant

itinerary

insurmountable

insurrection

intensify

interior

interminable

intermittently

interpose

intimidate

intrusion

ionic

iridescent surface colors that seem to change when viewed from

different angles.

ironic

irk

irrational

irregular

irresolute

isobutane [science, shop]

isolation

isomer (chemistry) a molecule with the same chemical formula as

another molecule, but a different structure.

isosceles [geometry]

itinerant

itinerary

jeopardize

Joule [electronics]

Joule’s Law [electronics]

judiciary

judicious

juncture

jurisdiction

keen

kinetic

kerf [shop; width of the saw cut] cut in wood made by a saw

Joule [electronics]

Joule’s Law [electronics]

judiciary

judicious

juncture

jurisdiction

keen

kinetic

kerf [shop; width of the saw cut] cut in wood made by a saw

laconic short, brief, pithy, stern

lament

languid

lava (molten or solidified rock on the surface of the earth, see magma

for difference between lava and magma)

lax

leaden

LED light emitting diode

leer

legitimate

lethargic

lever, first class

lever, second class

lever, third class

lipid

liposome a small sac within the cell. Artificial liposomes can be

created in which compounds, vaccines, medicines can be put into a

cell

livid

lobe

logarithm [mathematics]

loom

lucid

ludicrous

lull

lure

Lysosome: A sac which controls the release of enzymes in the cell.

Lysosomes are the digestive system of a cell. The enzymes within a

lysosome can digest lipids, saccharides (sugars), proteins, RNA,

and DNA. They digest obsolete parts of a cell.

lament

languid

lava (molten or solidified rock on the surface of the earth, see magma

for difference between lava and magma)

lax

leaden

LED light emitting diode

leer

legitimate

lethargic

lever, first class

lever, second class

lever, third class

lipid

liposome a small sac within the cell. Artificial liposomes can be

created in which compounds, vaccines, medicines can be put into a

cell

livid

lobe

logarithm [mathematics]

loom

lucid

ludicrous

lull

lure

Lysosome: A sac which controls the release of enzymes in the cell.

Lysosomes are the digestive system of a cell. The enzymes within a

lysosome can digest lipids, saccharides (sugars), proteins, RNA,

and DNA. They digest obsolete parts of a cell.

magma (molten rock below surface, lava is molten rock on or above

surface]

malice

malign

malleable

manic frentic activity, wild excitement, also refers to mania in

psychiatry

maxim proverb, rule,

meager

meander

mechanical advantage machine’s output force divided by the input

force. For inclines, the length is divided by the height of the incline

median middle value of a group of numbers

Megahertz [electronics] 1,000,000 hertz 1000 kilocycles = 1 megahertz

meiosis cell division that reduces the number of chromosomes in

half, in humans from 46 to 23.

menace

mercurial unpredicatable, having an angry temper

mesmerize to bring the minds and thoughts of others under the

control of another, named after a Dr. Mesmer of Vienna, Austria in

the early 1700s

methodical

meticulous

miasma infectious particles or germs in the air; noxious air, noxious

effluvia

micro (ten to the minus 6 power)

mien

milieu surroundings

mimesis imitation, mimicry

mimic

mingle

mirth

misalign

miscible (see immiscible above)

mitochondrion: Largest organelle within a cell. It is involved with

respiration and is is the power station of the cell.

There are multiple mitochondria within a cell.

mitosis cell division in which the cell divides in two, and both cells

have the same number of chromosomes

surface]

malice

malign

malleable

manic frentic activity, wild excitement, also refers to mania in

psychiatry

maxim proverb, rule,

meager

meander

mechanical advantage machine’s output force divided by the input

force. For inclines, the length is divided by the height of the incline

median middle value of a group of numbers

Megahertz [electronics] 1,000,000 hertz 1000 kilocycles = 1 megahertz

meiosis cell division that reduces the number of chromosomes in

half, in humans from 46 to 23.

menace

mercurial unpredicatable, having an angry temper

mesmerize to bring the minds and thoughts of others under the

control of another, named after a Dr. Mesmer of Vienna, Austria in

the early 1700s

methodical

meticulous

miasma infectious particles or germs in the air; noxious air, noxious

effluvia

micro (ten to the minus 6 power)

mien

milieu surroundings

mimesis imitation, mimicry

mimic

mingle

mirth

misalign

miscible (see immiscible above)

mitochondrion: Largest organelle within a cell. It is involved with

respiration and is is the power station of the cell.

There are multiple mitochondria within a cell.

mitosis cell division in which the cell divides in two, and both cells

have the same number of chromosomes

moderate (can be an adjective, noun, and verb)

modulate [electronics; controlling the amplitude AM or transmitted

frequencies FM of a radio signal

molar [science]

mole [science] mole (chemistry) a chemical mass unit.

momentum

monera prokaryotic organisms no nuclear membrane, no

organelles except ribosomes.

monomial

monotonous

morbid

mortise [shop]

mourning

muffle

mundane

muse

muster

mutiny

mutualism

myriad

modulate [electronics; controlling the amplitude AM or transmitted

frequencies FM of a radio signal

molar [science]

mole [science] mole (chemistry) a chemical mass unit.

momentum

monera prokaryotic organisms no nuclear membrane, no

organelles except ribosomes.

monomial

monotonous

morbid

mortise [shop]

mourning

muffle

mundane

muse

muster

mutiny

mutualism

myriad

nadir

negligent

necessity

negate

neutron [science, electronics]

newton force producing acceleration of one meter per second on

a mass of one kilogram

noisome

nomadic

nominal

notorious

novice

nucleus: The control system of the cell. It contains the chromosomes

which have the genetic material of the cell.

negligent

necessity

negate

neutron [science, electronics]

newton force producing acceleration of one meter per second on

a mass of one kilogram

noisome

nomadic

nominal

notorious

novice

nucleus: The control system of the cell. It contains the chromosomes

which have the genetic material of the cell.

obstinate

obtuse

occurrence incident, event

octagon

Ohm’s Law [electronics] Voltage = Amperes times Resistance

omen

opinion

oppressed

optimal

option

opulence a display of wealth, riches, affluent

orient

orientation

oscillate

oscilloscope an electronic device that measures amplitude versus

time unit, such as frequency in hertz

ostracize

outfit

outlandish

obtuse

occurrence incident, event

octagon

Ohm’s Law [electronics] Voltage = Amperes times Resistance

omen

opinion

oppressed

optimal

option

opulence a display of wealth, riches, affluent

orient

orientation

oscillate

oscilloscope an electronic device that measures amplitude versus

time unit, such as frequency in hertz

ostracize

outfit

outlandish

pallid

palpable

paltry

panoply tool, implement; a plural meaning can mean armor or

armament

pantheon

paragon something against which other things are matched, held out

as an example of excellence

parallel [mathematics]

partake

pastoral

PCV positive crankcase ventilation [auto]

penance

pendulum

penitent

pensive

pentagon [mathematics, 108 degree angle] 5 sided

pensive

perception

peripheral

pernicious

perplexed

pert

phloem [biology, science]

photodiode [electronics]

picayune paltry, petty

pier

palpable

paltry

panoply tool, implement; a plural meaning can mean armor or

armament

pantheon

paragon something against which other things are matched, held out

as an example of excellence

parallel [mathematics]

partake

pastoral

PCV positive crankcase ventilation [auto]

penance

pendulum

penitent

pensive

pentagon [mathematics, 108 degree angle] 5 sided

pensive

perception

peripheral

pernicious

perplexed

pert

phloem [biology, science]

photodiode [electronics]

picayune paltry, petty

pier

pine

pinion [auto]

piqued

pizeoelectric [electronics]

pizeoelectric effect some crystals such as quartz begin to vibrate when

electricity is applied to them.

placid

plaintive

plunge

polygon

pompous

ponder

portend to warn before some event happens

portrayal

potentiometer currently used to described a variable resistor

practical

precedent

precipitous

predecessor

predict

preferential

prerequisite

pretence

prevalent

previous

primeval

priority

profess

prolong

prominent

prone

propriety

prosecution

protist They are one celled organisms

proton [science, electronics]

prototype

provocation

proximity

prudent

pulley

punctual

purport

pinion [auto]

piqued

pizeoelectric [electronics]

pizeoelectric effect some crystals such as quartz begin to vibrate when

electricity is applied to them.

placid

plaintive

plunge

polygon

pompous

ponder

portend to warn before some event happens

portrayal

potentiometer currently used to described a variable resistor

practical

precedent

precipitous

predecessor

predict

preferential

prerequisite

pretence

prevalent

previous

primeval

priority

profess

prolong

prominent

prone

propriety

prosecution

protist They are one celled organisms

proton [science, electronics]

prototype

provocation

proximity

prudent

pulley

punctual

purport

quad- four

quadratic [mathematics]

quay

quint -five

quiver

quadratic [mathematics]

quay

quint -five

quiver

rabbet [auto, shop]

rabble

rack [auto, shop]

ramshackle

ratio

raucous hoarse, loud, rough, also used for boisterous,

RC circuit [electronics]

reactance

reap

reckless

recluse

rectify correct

recuperate

redress

redundant superfluous, excess

reform

refute

reign

relish a food, but also used as a verb such as to taste, savor, or enjoy

remorse

rendezvous

renounce

repress

reproof

requisite

reserved

reside

resolution the act, operation, or process of resolving. Also can mean a

decision made by a person or approved after discussion and a vote

by a group

rabble

rack [auto, shop]

ramshackle

ratio

raucous hoarse, loud, rough, also used for boisterous,

RC circuit [electronics]

reactance

reap

reckless

recluse

rectify correct

recuperate

redress

redundant superfluous, excess

reform

refute

reign

relish a food, but also used as a verb such as to taste, savor, or enjoy

remorse

rendezvous

renounce

repress

reproof

requisite

reserved

reside

resolution the act, operation, or process of resolving. Also can mean a

decision made by a person or approved after discussion and a vote

by a group

resolve finding a solution, a decision (He had a resolve to get a high

ASVAB score)

resound

respiration

respite

reticent

reverie

revolution -ary -ize

ribosome: The site of protein synthesis within the cell.

right angle [mathematics, 90 degree angle]

rip blade [shop]

rivet

riveting

RMS root mean square .707 of voltage [electronics]

rocker arm an automotive term

rude

rudimentary elementary, initial, primitive

rudiments

ASVAB score)

resound

respiration

respite

reticent

reverie

revolution -ary -ize

ribosome: The site of protein synthesis within the cell.

right angle [mathematics, 90 degree angle]

rip blade [shop]

rivet

riveting

RMS root mean square .707 of voltage [electronics]

rocker arm an automotive term

rude

rudimentary elementary, initial, primitive

rudiments

sage

salutary

sanctity

sanguine

sarcastic

scale

scanty

scarce

scatter

schematic [electronics]

scorn

scruple

sear

secondary

secret -ive -ly

sediment

semiconductor

sequel

sequester

serene

sham

shear cutting something, such as cloth or sheetmetal

shim [auto, shop]

slosh

small

smudge

sodden

solace

solemn

solenoid [electronics]

sordid

spartan

spite

spurious

staid

stalwart

steadfast

stealth

stench

stigma -tize

stochiometric [science] In automotive gasoline engines, the

stoichiometric ratio is 1:12. something

stochiometric point [science]

strident harsh, grating, shrill

strive

suduction

sublimate

sublimation

sublime

subduction’

subsume take up into or under, include under something else

suffice

sufficient

sullen usually used to describe a person who is ill-humored, morose, peevish, gloomy

sumptuous

superficial shallow, not deep or profound

supposition

surmise

surreptitious

syntactic putting together in order; related to the word syntax

salutary

sanctity

sanguine

sarcastic

scale

scanty

scarce

scatter

schematic [electronics]

scorn

scruple

sear

secondary

secret -ive -ly

sediment

semiconductor

sequel

sequester

serene

sham

shear cutting something, such as cloth or sheetmetal

shim [auto, shop]

slosh

small

smudge

sodden

solace

solemn

solenoid [electronics]

sordid

spartan

spite

spurious

staid

stalwart

steadfast

stealth

stench

stigma -tize

stochiometric [science] In automotive gasoline engines, the

stoichiometric ratio is 1:12. something

stochiometric point [science]

strident harsh, grating, shrill

strive

suduction

sublimate

sublimation

sublime

subduction’

subsume take up into or under, include under something else

suffice

sufficient

sullen usually used to describe a person who is ill-humored, morose, peevish, gloomy

sumptuous

superficial shallow, not deep or profound

supposition

surmise

surreptitious

syntactic putting together in order; related to the word syntax

tacit silent, agreeing without saying yes or no

tactile

tantalize

tame

tapestry

taps [auto, shop]

telemetry transmission by automatic instruments as in radio transmitters

tenacious

tenuous

terse

thwart -ed

tout

trait

trance

transaxle found in front wheel drive vehicles.

transducers convert light,heat, sound, and pressure to

electricity. A microphone is a transducer.

translate

transpire

transpiration

trapezoid [mathematics, 4 sides unequal length

tremulous

triangle [mathematics, internal angles add to 180]

trite

trivial

tumult

twisted

tactile

tantalize

tame

tapestry

taps [auto, shop]

telemetry transmission by automatic instruments as in radio transmitters

tenacious

tenuous

terse

thwart -ed

tout

trait

trance

transaxle found in front wheel drive vehicles.

transducers convert light,heat, sound, and pressure to

electricity. A microphone is a transducer.

translate

transpire

transpiration

trapezoid [mathematics, 4 sides unequal length

tremulous

triangle [mathematics, internal angles add to 180]

trite

trivial

tumult

twisted

ubiquitous

umbrage jealousy of another, resentment, feeling that one is

overshadowed by another

unanimity

uncouth

undertake undertook begin, attempt , promise to begin or attempt underwrite

universal joint [auto]

urbanity civility, courteous in manner, politeness

usurp

umbrage jealousy of another, resentment, feeling that one is

overshadowed by another

unanimity

uncouth

undertake undertook begin, attempt , promise to begin or attempt underwrite

universal joint [auto]

urbanity civility, courteous in manner, politeness

usurp

vacuum

variable

vascular [science]

vehement

verify

vernier calipers [shop]

versatile

vertex

vex

vexatious aggravating, annoying

vigilant

vindictive

viscous

viscosity [the measure of how viscous a fluid is]

volition

volt [electronics]

voluntary

vortex

wary

Watt

wedge

whimsical

willful

wretched

vascular [science]

vehement

verify

vernier calipers [shop]

versatile

vertex

vex

vexatious aggravating, annoying

vigilant

vindictive

viscous

viscosity [the measure of how viscous a fluid is]

volition

volt [electronics]

voluntary

vortex

wary

Watt

wedge

whimsical

willful

wretched

xerophyte using little water

xylem [biology, water ]

xylem [biology, water ]

zener diode [electronics]

My opinion is that a person should be familiar with all the words in core list of 3000 words, such as from learnersdictionary.com, the Longman Communication 3000, the manythings.org word list, the oxfordlearnersdictionaries.com 3000 words lists, AND, all the words that appear in word lists in ASVAB study guides. This would be about 4500 words.

I would pay particular attention to the word lists in ASVAB study guides. I do not know how the authors chose those words, but it may from studying official word lists, information provided by past ASVAB takers, and their own careful research. I compared one author’s list with a 3000 core word list, and found less than 10 % of the words in the ASVAB study guide author’s word list in the core word list.

I once heard a speaker say that the English language has about 600,000 words, and that German has only about 180,000 words. Hmm, it makes me wonder what types of examinations German students who want to enter THEIR military services must successfully pass!

]]>

ASVAB_Tom_Lindsey_Original_Arithmetic_Mathematical-Knowledge_August_23_2016

These problems are my original creations. I looked at test questions from other sample tests, but have created

original problems.

original problems.

Arithmetic 1. The reciprocal of 2 10/12 (Two and ten-twelths) is

A. 24/90 B. 32/12 c. 12/20 D. 12/34 Correct Answer D 2 time 12/12 = 24/12 24 + 10 =34 The reciprocal is the number

that is multiplied by the original number number to equal 1.0 34/12 times 12/34 = 408/408 = 1

that is multiplied by the original number number to equal 1.0 34/12 times 12/34 = 408/408 = 1

Arithmetic 2. Jeff finds a closeout on 9 inch square floor tiles . How many 9 inch square tiles are needed to lay down in a

corridor that is 6 feet wide by 12 feet 9 inches long.

corridor that is 6 feet wide by 12 feet 9 inches long.

A. 120 B. 136 C. 140 D. 144 6 feet = 12 inches x 6 feet = 72 inches. 12 feet 9 inches = (12 x 12) + 9 inches= 153

72 divided by 9 = 8 153 divided by 9 = 17 8 x 17 = 136

Mathematics 3. The value of xy – yz (xy minus yz, divided by xy) x = 2 y = 3 z = 4

_______

xy

_______

xy

(2 x 3) – (3 x 4) / (2 x 3) = 6 – 12 / 6 -6 / 6 = – 1 (minus one)

Mathematics 4. A triangle has two sides with lengths 4 and 6

An isoceles triangle has two equal length sides, in this case either 4 or 6 Two angles are the same degrees.

A right triangle. If the hypotenuse the side opposite the right angle were length 6, the other two sides would be

length 4 and [square root of 20, a number between integers 4 and 5]. 4 x 4 + [square root 20][square root 20 = 6 x6

If 6 and 4 were the sides that formed the right angle, the hypotenuse would be [square root of 52].

length 4 and [square root of 20, a number between integers 4 and 5]. 4 x 4 + [square root 20][square root 20 = 6 x6

If 6 and 4 were the sides that formed the right angle, the hypotenuse would be [square root of 52].

An obtuse triangle with sides 4 and 6, forming an angle greater than 90 degrees, will have a third side longer

than 6 but less than 10. If the third side was length 10, it would equal the length of the other two sides.

The angle of the two sides length 4 and 6 would be 180 degrees. A triangle is three intersecting lines with internal angles

equal to 180 degrees.

than 6 but less than 10. If the third side was length 10, it would equal the length of the other two sides.

The angle of the two sides length 4 and 6 would be 180 degrees. A triangle is three intersecting lines with internal angles

equal to 180 degrees.

A scalene triangle has no angles equal to another angle.

An equilateral triangle has three sides of equal length. Each interior angle is 60 degrees.

Arithmetic 5. What percent of 500 is 975? Divide 975 by 500 900/500 = 195 %

Arithmetic 6. Sean must read 14 pages from his economics textbook, 2 short stories of 22 pages length from English, a 12 page

chapter in his U.S. History book, and a 24 page chapter from the chemistry book. He has completed 1/3 of the reading.

How many pages has he read. 14 + 22 + 12 + 24 = 72 72 x 1/3 = 24

chapter in his U.S. History book, and a 24 page chapter from the chemistry book. He has completed 1/3 of the reading.

How many pages has he read. 14 + 22 + 12 + 24 = 72 72 x 1/3 = 24

Arithmetic 7. A helicopter makes a cross-country flight of 750 miles in 6 hours. If it flew at a constant speed during

the trip, how many miles per hour did it fly? 750/ 6 = 125

the trip, how many miles per hour did it fly? 750/ 6 = 125

Mathematics 8. Petty cash is used to buy office supplies and equipment with a price of $ 49.99 or less, plus sales tax of 8.25 %

Purchases costing $ 50.00 to $ 499.99, employees use a company credit card that is kept by department managers.

Purchases that cost $ 500.00 or more are made by the purchasing department.

A company credit card was used to purchase some equipment. Which of these choices MIGHT be true?

A. The equipment cost $ 39.99 plus sales tax.

B. The item was purchased by the purchasing department.

C. The equipment cost $ 119.99 plus sales tax.

D. An employee bought the equipment with her own money, and was reimbursed when she came back to the office.

B. The item was purchased by the purchasing department.

C. The equipment cost $ 119.99 plus sales tax.

D. An employee bought the equipment with her own money, and was reimbursed when she came back to the office.

Arithmetic 9. The tallest player on the school basketball team is 6 feet 5 inches tall. The shortest player on the hockey

team is 5 feet 7 inches. How much taller is the basketball player than the hockey player? 8 inches

team is 5 feet 7 inches. How much taller is the basketball player than the hockey player? 8 inches

Mathematics 10. Tom rented an apartment for $ 900 a month. He has to pay non-refundable $ 270 fee to keep his dog Ollie at

the apartment. What fraction of one month’s rent is the dog fee? 270/900 9 x 30 / 9 x 100 = 3 / 10

the apartment. What fraction of one month’s rent is the dog fee? 270/900 9 x 30 / 9 x 100 = 3 / 10

Mathematics 11. Brian has a part-time job signing visitors in and out of an office building. He will start September 1 for 15 weeks

for 15 hours per week. The building is closed to everyone on Labor Day, Columbus Day, Thanksgiving Day, and

the Friday after Thanksgiving Day. His hourly pay is $ 8.00 per hour. How many hours will he work?

213 hours 15 weeks but 4 unpaid days = 14 weeks plus 1 day (14 weeks x 15 hours) + (1 day x 3 hours)

for 15 hours per week. The building is closed to everyone on Labor Day, Columbus Day, Thanksgiving Day, and

the Friday after Thanksgiving Day. His hourly pay is $ 8.00 per hour. How many hours will he work?

213 hours 15 weeks but 4 unpaid days = 14 weeks plus 1 day (14 weeks x 15 hours) + (1 day x 3 hours)

Mathematics 12. The phrase “Triple the sum of three and three divided by five” is the same as A. 9 3/5 B. 10 4/5 C. 10 3/5 D. 9 4/5

Mathematics 13. A pint is 1/8 of a gallon. How many pints are found in 4 2/3 gallons? Mulitply the two denominators 8 and 3

to get the product number 24. If there are 24/24ths in a gallon, a pint (1/8th of a gallon) must be 3/24th of a

gallon. 2/3 = 16/24 4 gallons x 24/24 = 96/24 + 16/24 = 112/24 112 divided by 3 = 37, and a remainder of 1.

There are 37 and 1/3 pints [1/3 pint = 1/24 gallon] in 4 2/3 gallons.

to get the product number 24. If there are 24/24ths in a gallon, a pint (1/8th of a gallon) must be 3/24th of a

gallon. 2/3 = 16/24 4 gallons x 24/24 = 96/24 + 16/24 = 112/24 112 divided by 3 = 37, and a remainder of 1.

There are 37 and 1/3 pints [1/3 pint = 1/24 gallon] in 4 2/3 gallons.

Rounding down, there are 37 pints in 4 2/3 gallons

Mathematics 14. Aurora Cam Company inventoried older equipment and is sending some to auction. The inventory is:

One lathe, estimated auction value of 1000 dollars

Two drill presses, estimated value 450 dollars

Three equipment lockers 25 dollars each

Box of wrenches 35 dollars

An auctioneer commission of 15 percent is charged for each item auctioned. What is the estimated charge? $ 234

One lathe, estimated auction value of 1000 dollars

Two drill presses, estimated value 450 dollars

Three equipment lockers 25 dollars each

Box of wrenches 35 dollars

An auctioneer commission of 15 percent is charged for each item auctioned. What is the estimated charge? $ 234

Mathematics15. A triangle has a base of 10 inches, with the other two sides 6 inches and 8 inches meeting at the peak.

What is the area of the triangle?

A. [square root of 11, divided by 10] plus [square root of 39, divided by 2]

B. [square root of 22, divided by 5] (originally, square root of 11 times square root of 32 , divided by 20)

C. 2 times [square root of 11] / divided by 10 times [square root of 39]

D. 24

The answer is 24. This is a right angle triangle, with the hypotenuse side lying flat

What is the area of the triangle?

A. [square root of 11, divided by 10] plus [square root of 39, divided by 2]

B. [square root of 22, divided by 5] (originally, square root of 11 times square root of 32 , divided by 20)

C. 2 times [square root of 11] / divided by 10 times [square root of 39]

D. 24

The answer is 24. This is a right angle triangle, with the hypotenuse side lying flat

6 x 6 plus 8 x 8 = 10 x 10 Instead of trying to figure out the height of the triangle with the side 10 on the

base, imagine that it is tilted so that either the 6 or 8 length side is the base. 1/2 b X h 1/2 (6×8) = 24

If a picture were shown, it might seem as if the perpendicular line intersects the base at 5 inches on either side.

base, imagine that it is tilted so that either the 6 or 8 length side is the base. 1/2 b X h 1/2 (6×8) = 24

If a picture were shown, it might seem as if the perpendicular line intersects the base at 5 inches on either side.

Arithmetic 16. Gretchen was shocked to get a natural gas bill of $ 150.00 for the month of January. She has gotten notices

in the past about a “Balanced Billing Program”. The three highest bills and the three lowest bills of the past 12 bills are

added together, and an average billing amount is calculated. The average is changed with each September bill.

Gretchen’s three high and three low bills were 150, 100, 90, 45, 39, and 32 dollars. If she chose balanced billing,

how much would she be billed each month? 456 dollars divided by 6 = 76

in the past about a “Balanced Billing Program”. The three highest bills and the three lowest bills of the past 12 bills are

added together, and an average billing amount is calculated. The average is changed with each September bill.

Gretchen’s three high and three low bills were 150, 100, 90, 45, 39, and 32 dollars. If she chose balanced billing,

how much would she be billed each month? 456 dollars divided by 6 = 76

Arithmetic: 17. The Franklin Community Association is creating a fenced outdoor park where owners can let their dogs

exercise without being leashed. Three condemned homes were razed so that the lots can be joined together to make

the park. Each lot was 120 feet deep with 60 feet width. What length of fencing is needed to surround the park.? 600 feet

exercise without being leashed. Three condemned homes were razed so that the lots can be joined together to make

the park. Each lot was 120 feet deep with 60 feet width. What length of fencing is needed to surround the park.? 600 feet

Mathematics: 18: The Franklin Community Association is creating a fenced outdoor park where owners can let their dogs

exercise. The design plan calls for the use of prefabricated fence panels on posts that are eight feet long and

seven feet high. If the perimeter of the lot is six hundred feet, how many fence panels need to be purchased? 75

exercise. The design plan calls for the use of prefabricated fence panels on posts that are eight feet long and

seven feet high. If the perimeter of the lot is six hundred feet, how many fence panels need to be purchased? 75

Mathematics: 19. Which of these numbers equals the internal angle of two sides of an octagon?

108 120 135 144 135 An octagon has 8 points. Lines from a center point can be drawn to points

A, B, C, D, E, F, G, H on the corners of the octagon. Eight triangles are formed inside the octagon.

360 degrees divided by 8 = 45 degrees. The interior angles of a triangle total 180 degrees. The other angles

are 135 degrees divided by 2 or 67.5 on each corner. Add the angles on each side of the line together.

108 120 135 144 135 An octagon has 8 points. Lines from a center point can be drawn to points

A, B, C, D, E, F, G, H on the corners of the octagon. Eight triangles are formed inside the octagon.

360 degrees divided by 8 = 45 degrees. The interior angles of a triangle total 180 degrees. The other angles

are 135 degrees divided by 2 or 67.5 on each corner. Add the angles on each side of the line together.

108 = pentagon, 120 = hexagon, 135 = octagon, 144 = 10 sided figure,

180 sided figure. 2 degrees at top, 89 degree angles on the sides, 178 degrees of angle of points A,B,C

of the 180 side points.

Mathematics: 20 Which equation is incorrect? A. [square root of 3] + [square root of 4] = [square root of 5]

B. [square root of 3] times [square root of 4] = [square root of 12]

C. [square root of 5] divided by [square root of 4] = [square root of 5] / 2

D. [square root of 27] divided by the cube root of 8] = 3[square root of 3] / 2 or 1.5 times [square root of 2]

Mathematics: 21. Which integers will make this equation true?

A > 4 but A < 11

A. 4,5,6,7,8,9,10

B. 5,6,7,8,9,10,11

C. 7,8,9,10,11

D.5,6,7,8,9,10 D. the > sign is for greater than, the < is less than The characters with a bar underneath them

are “equal to or greater than” and “less than or equal to” / with an equal sign through it

means that the number is not equal the next number.

A > 4 but A < 11

A. 4,5,6,7,8,9,10

B. 5,6,7,8,9,10,11

C. 7,8,9,10,11

D.5,6,7,8,9,10 D. the > sign is for greater than, the < is less than The characters with a bar underneath them

are “equal to or greater than” and “less than or equal to” / with an equal sign through it

means that the number is not equal the next number.

Mathematics: 22: Which is a simplification of 2 “x squared” – 12x – 14 ? (2x + 2)(x – 7)

Mathematics: Parallel lines: same distance apart throughout the length of the line

Mathematics: 23: One angle, known as the supplementary angle measures 75 degrees. The other angle is complementary and

measures ____ degrees?

measures ____ degrees?

Mathematics: 24. A triangle has sides with lengths that are consecutive odd numbers. The perimeter is 27. What is the value

of the longest side? Answer 11 The average length of the three sides is 27/3 or 9. 9 is probably one of the

three numbers. 5 + 7 + 9 = 25 7 + 9 + 11 = 27 9 + 11 + 13 =33 .

of the longest side? Answer 11 The average length of the three sides is 27/3 or 9. 9 is probably one of the

three numbers. 5 + 7 + 9 = 25 7 + 9 + 11 = 27 9 + 11 + 13 =33 .

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The ASVAB test seems to be testing the intelligence level of a prospect, breadth of knowledge, willingness to read and learn more information, and a unique “talent”. Military life has times when its servicemembers find them themselves in “chaotic situations” when the person must rapidly assess the situation, choose a course of action, respond to the commands of others in the same situation, and take action.

The “chaotic situation” could be gunfire, explosion, fire, chemical hazards, collision, crash, equipment failure, electrocution, flooding by water, other people’s behaviors, or any other abnormal situation. Is the prospect likely to be shocked and not able to respond. Will the prospect respond quickly?

The work knowledge and paragraph comprehension subtests are written to see if the prospect has a broad vocabulary to recognize the meaning of words, and can quickly comprehend messages, instructions, and orders. At least, this is what I think they are intended to test.

How much vocabulary knowledge is enough. 500 words? 1500 words? 3000 words? 5000 words?

The Voice of America broadcasting and internet-based news service of our government broadcasts programs in “Special English” to help people who are learning English. The vocabulary list has changed a little over 70 years, but has about 1,500 words. English language dictionary editors, such as the Merriam-Webster Dictionary company, think that everyone should know about 3,000 words.

Here are internet addresses for the VOA and Merriam-Webster lists, with definitions and a spoken voice.

Special English http://docs.voanews.eu/en-US-LEARN/2014/02/15/7f8de955-596b-437c-ba40-a68ed754c348.pdf

Merriam-Webster Dictionary Learners Dictionary 3000 words http://learnersdictionaries.com/3000-words

Other dictionary publishers have prepared their own lists of 3000 words

A Corpus of American Spoken English prepared by a professor at Brigham Young University can be viewed. A list of the 5000 most frequently used words can be downloaded for individual use, but not posted online.

Books and CDs with vocabulary lists

There are not many CDs available and the costs are usually more than $ 30.00 for a CD set.

Vocabulary word books can be found at public libraries. The Dewey Decimal Classification is 428.1 .

A common library catalog subject heading is: Vocabulary–Problems, Exercises

Books at bookstores, new and used books

Ask for books in the Vocabulary/Spelling section. This may be near handbooks for writers .

These books may contain from 250 to 1500 words. Choose one with the greatest number of words.

An ASVAB study guide may have a chapter with words, prefixes, suffixes, word roots, and other information.

—————————————————————————–

If you cannot find a vocabulary word book, look for test books for the SAT, ACT, or civil service exam study guides.

Some of these books may have a word list and study guide to help increase vocabulary.

Physical bookstores are declining in number. Many stores selling used and rare books do not stock the ASVAB test books.

This an alphabetical list of SOME of the online book selling websites that stock back copies of ASVAB study guides.

Which guide should a person buy at a store or from an online book selling website. It is a difficult task, as about 20 different book publishers offer study guides. I have a preference for two publisher’s guides, but I always look at other publisher’s guides for diagnostic and practice tests with different problems, different advice about how to mentally and physically prepare oneself for taking the ASVAB.

A cataloging record service known as Worldcat, from OCLC, Inc., is used by thousands of libraries worldwide to find catalog records to put into local catalogs, and to offer catalog records created by a library staff for use by other libraries.

One of the features of the catalog record display is that there is a line with a phrase like

“1 of 6 libraries of nnn libraries using this record.” The number of times a title, or an edition of a title, has been purchased by libraries, has guided me in my choice of ASVAB study guides. I also go to a nearby book store to see what titles they carry in stock, and look through each different title.

Purchasing online: I have located these websites and have listed them in alphabetical order

http://www.abebooks.com

http://www.alibris.com

http://www.amazon.com

http://www.thriftbooks.com

There are other websites and stores with online websites. As for myself, I am looking for used copies of ASVAB study guides published 2010 and later. . Fair condition is fine, as long as pages are not missing. or a prior user has filled out the answer block pages.

There are a large number of webpages and subscription sites that will help with the ASVAB. There are professional tutors of the ASVAB test.

I like these guides because they test my knowledge and skills in different ways that are unlike the SAT test, GRE, or other tests. They are great ways to pass the time, and learn something while waiting in line or a reception area for an appointment. Thomas Lindsey mos96b@yahoo.com

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I have tried to consolidate all my notes and ideas about doing arithmetic, algebra, and geometry on a test like the Armed Services Vocational Aptitude Battery. I came upon a document in the ERIC collection eric.ed.gov from an organization known as the Education Trust. 30 % of high school graduates are not able to pass the ASVAB and be eligible to enter the military if they wish. Whatever opinions each person may have about serving in the U.S. military services, they are a great source of training after high school for young people.

It is a shame that our school systems seem to be failing 30 % of the students that they graduate. Many of these students are not considering enrolling in college regardless of how much financial aid they might be offered.

I suspect that most students studying for college admission tests are not taking any type of ASVAB exam. I wonder what the failure rate on an ASVAB test would be if all students took the exam.

Here are my consolidated mathematics notes. I may have copied part of this material several times, I am editing it.

I _THINK_ that I have eliminated all the duplication.

ORDER OF PRECEDENCE IN DOING MATHEMATICAL CALCULATIONS

The acronym PEMDAS, often appearing with the next sentence gives the order.

Please Excuse My Dear Aunt Sally

Do arithmetic work within parentheses first. Then work on exponents.

Multiplication is next. Then do Division work. Addition work. Subtraction work is next.

Multiplication is next. Then do Division work. Addition work. Subtraction work is next.

——————————————————————————

ALGEBRA

Find common factors that are part of each part of the equation and remove them outside the common area.

2x[squared] + 12x + 18 is the same as 2(x[squared] + 6x + 9) The part within parentheses looks like

an (x + y)[squared] type quadratic equation. The formula could be rewritten as 2(x + 3)[squared]

2x[squared] + 12x + 18 is the same as 2(x[squared] + 6x + 9) The part within parentheses looks like

an (x + y)[squared] type quadratic equation. The formula could be rewritten as 2(x + 3)[squared]

[squared] is meant to represent an exponent, shown on a page with a number raised 1/2 space above the line.

Locate any common factors that are part of each part of the equation and remove them outside the common area.

2x[squared] + 12x + 18 is the same as 2(x[squared] + 6x + 9) The part within parentheses looks like

an (x + y)[squared] type quadratic equation. The formula could be rewritten as 2(x + 3)[squared]

2x[squared] + 12x + 18 is the same as 2(x[squared] + 6x + 9) The part within parentheses looks like

an (x + y)[squared] type quadratic equation. The formula could be rewritten as 2(x + 3)[squared]

[squared] is meant to represent an exponent, shown on a page with a number raised 1/2 space above the line.

Three common quadratics

(x + y)(x-y) = x [squared] – y [squared] “squared” means the number 2 appears one half line above the typed x and y

(x + y) [squared] = x [squared] + 2xy + y [squared]

(x-y) [squared] = x [squared] -2xy + y [squared]

A perfect square number such as 4, 16, 25, 36, 49, 64, 81 in front of the x[squared] or y[squared] in a quadratic equation. means

that it is probably one of the three common quadratics.

that it is probably one of the three common quadratics.

Locate any common factors that are part of each part of the equation and remove them outside the common area.

2x[squared] + 12x + 18 is the same as 2(x[squared] + 6x + 9) The part within parentheses looks like

an (x + y)[squared] type quadratic equation. The formula could be rewritten as 2(x + 3)[squared]

2x[squared] + 12x + 18 is the same as 2(x[squared] + 6x + 9) The part within parentheses looks like

an (x + y)[squared] type quadratic equation. The formula could be rewritten as 2(x + 3)[squared]

[squared] is meant to represent an exponent, shown on a page with a number raised 1/2 space above the line.

———————————————————————–

The capital letter X is used as the symbol for multiplication.

The capital letter X is used as the symbol for multiplication.

F is for First, O is Outside, I is for Inside, and L is for Last.

Multiplying (4 + 2x) times (5 + 6y) using FOIL (4 + 2x) X (5 + 6y) or (4 + 2x)(5 + 6y)

Multiply the FIRST part of the term inside each parentheses. 4 X 5 = 20 F for First

Multiply the OUTSIDE part of the term inside each parentheses. 4 X 6y = 24 y O for Outside

Multiply the INSIDE part of of the term inside each parentheses 2x X 5 = 10x I for Inside

Multiply the LAST part of the term inside each parentheses 2x X 6y = 12xy L for Last

Add all the terms together to get 20 + 24y + 10x + 12xy

If the terms inside parentheses had been (4 + 2x)(5 + 6x), the sum would be 20 + 34x + 12x[squared] x with a raised 2

If the terms inside parentheses had been (4 + 2x)(5 + 6x), the sum would be 20 + 34x + 12x[squared] x with a raised 2

—————————————————————————

Mathematical Knowledge One Variable Equation

Multiply the OUTSIDE part of each term) 4 X 6 y = 24y O for Outside

Multiply the INSIDE or second part of each term 2x X 5 = 10x

Multiply the Last part of each term 2x X 6y = 12xy

Add the result of each multiplication 20 + 24y + 10x + 12xy

It is easier to work with positive values on both sides of the = sign when it possible.

Let’s use 15a = 45 . Divide both side of the equation by the number 15 . 15a/15 = 45/15

a = 3 Mathematics check 12(3) +9 = 45.

Linear equations where one or more sides have a fraction.

2x + 7 = x/4 . The first step is to remove the fraction.

4 X (2x+ 7) = 4 X (x/4) 8x + 28 = x . Move the number or the 8x to one side.

8x – x = – 28 7x = -28 7x/7 = -28/7 x = -4

————————————————————————-

Mathematical Knowledge Prime Numbers, Factoring Numbers, Inequality

Mathematical Knowledge Prime Numbers, Factoring Numbers, Inequality

PRIME NUMBERS

A prime number is an integer that cannot be separated by two numbers multiplied together.

1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 are prime numbers in the range 1 to 50

Numbers ending with 0, 2, 4, 6, 8 can be divided by the number 2 .

Numbers 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 44, 48 can be divided by the number 3.

Numbers ending with a 5 or 0 can be divided by 5, and other numbers depending upon the number.

Number 49 can be divided by the number 7. 7 X 7 = 49

FACTORIALS

These numbers are an integer followed by the exclamation point sign , such as 9!

9! is 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1 504 X 120 X 6 = 362,880

4! is 4 X 3 X 2 X 1 = 24

ASVAB problems that use factorials may appear with statements such as:

Tom, Dick, Harry, and Jane have are standing in a line. If they change places so that each of them

is at the front of the line, how many lines are possible?

4! 4 factorial number of lines 4 x 3 x 2 1 = 24

is at the front of the line, how many lines are possible?

4! 4 factorial number of lines 4 x 3 x 2 1 = 24

TDHJ, TDJH, THDJ, THJD, TJDH, TJHD Tom in front of 6 lines

DTJH, DTHJ, DJTH, DJHT, DHJT, DHTJ Dick

HTDJ, HTJD, HJTD, HJDT, HDJT, HDTJ Harry

JTDH, JTHD, JHDT, JHTD, JDTH, JDHT Jane

DTJH, DTHJ, DJTH, DJHT, DHJT, DHTJ Dick

HTDJ, HTJD, HJTD, HJDT, HDJT, HDTJ Harry

JTDH, JTHD, JHDT, JHTD, JDTH, JDHT Jane

It took many minutes to figure out the chart of letters. This shows why factorials are so handy.

INEQUALITY, LESS THAN OR EQUAL TO, GREATER THAN OR EQUAL TO

< is used to represent two numbers or variables when one is less than the other. a < b , a < 8

> is used to represent two numbers or variables when one is greater than the other. a > b , a > 8

LESS THAN OR EQUAL TO, GREATER THAN OR EQUAL TO

The < and > signs are used, but a bar appears under the character. <_ and >_

(I am not sure how to create these symbols in this Word Press system, probably by typing multiple keys simultaneously.

Another mathematical symbol is for “not equal to” . It is an equal sign = with a slash through it. /=

n /= 2 means that the variable n is not equal to 2.

SQUARE ROOT AND CUBE ROOT SYMBOLS

The root sign is a symbol that looks like a check mark with a line at the top of the check mark.

The square of 2 is 4, the square root of 4 is 2. square of 3 is 9, the square root of 9 is 3, square of 4 is 16, square root of 16 is 4

Squares 2, 4 ; 3, 9; 4, 16; 5, 25; 6, 36; 7, 49; 8, 64; 9, 81; 10, 100; 15, 225; 20, 400; 25, 625; 30, 900

The squares of numbers in between have a value of: a( squared) + 2ab + b (squared)

The square of 13, when a = 10 and b = 3 is: (10 X 10) + 2(10)(3) + (3 X 3) 100 + 60 + 9 = 169

Square root of 4=2; 25=5; 36=6; 49=7; 64=8; 81=9; 100=10; 225=15; 400=20; 625=25; 900=30 .

What if the value to be squared has a decimal part in the number, such as 1.5?

This is a list of squares from 1.4 to 9.5

Known length angle side length[squared] + unknown length right angle side[squared] = hypotenuse side[squared]

SCALENE TRIANGLE: No interior angles of the triangle equal 90 degrees, and all angles have different values.

ISOSCELES TRIANGLE: Two sides of the triangle have the same length. The angles formed when the equal length side cross the third side are of equal value.

OBTUSE TRIANGLE: One angle has a value greater than 90 degrees. The values of all angles add up to 180 degrees.

EOMETRY, PARALLEL LINES, CIRCLES, AREA OF GEOMETRIC FIGURES AND CIRCLES

PARALLEL LINES ____________ Two or more lines are the same distance apart.

____________

____________

a / b

_______/____ The lines to the left are a set of slash marks and a set of underline characters.

/ Assume that the slash marks are an unbroken line. The underline characters

c d can be known as an angle of 180 degrees. Angle a and Angle B = 180 degrees.

Angle c and Angle d = 180 degreees.

Angle a value is equal to the value of angle d. Angle b value is equal to the value of angle c.

_______/____ The lines to the left are a set of slash marks and a set of underline characters.

/ Assume that the slash marks are an unbroken line. The underline characters

c d can be known as an angle of 180 degrees. Angle a and Angle B = 180 degrees.

Angle c and Angle d = 180 degreees.

Angle a value is equal to the value of angle d. Angle b value is equal to the value of angle c.

Some ASVAB mathematics may give values for two angles such a and c, or a and d, and you must determine the

value of angle of another angle. a + b = 180 , and a + c= 180. Using subtraction, the value of the other

angles can be calculated.

value of angle of another angle. a + b = 180 , and a + c= 180. Using subtraction, the value of the other

angles can be calculated.

CIRCLES and VOLUME.

Radius of A circule is from the middle point of the circle to the edge. The Diameter is 2 times the radius.

The CIRCUMFERENCE or length of a circle if it were cut apart and laid straight in a line, is

2 times the number PI. PI is an irrational number with no end of its decimal portion.

For simple calculation, the value of PI is given as 3.14

Radius of A circule is from the middle point of the circle to the edge. The Diameter is 2 times the radius.

The CIRCUMFERENCE or length of a circle if it were cut apart and laid straight in a line, is

2 times the number PI. PI is an irrational number with no end of its decimal portion.

For simple calculation, the value of PI is given as 3.14

Area of a circle is PI times Radius times Radius or PI times r[squared] r X r .

Area of a triangle is 1/2 times length of base times length of height.

There are many mathematics help sites. The United States Coast Guard Recruit Training Center Cape May, New Jersey

has list of web addresses for sites. Some URLs are not operational at this time, and need to be corrected.

has list of web addresses for sites. Some URLs are not operational at this time, and need to be corrected.

http://uscg.mil/hq/capemay/AdminServices/asvab.asp My favorite of the list is math2.org

One of my favorite sites not on the list is a site created by a mathematics professor, last name Perez, at

Saddleback College in Mission Viejo, California [near San Diego].http://www.saddleback.edu/faculty/lperez/Algebra2Go It has instruction information from arithmetic

through the first two semesters of calculus [5th year mathematics in high school or freshman mathematics for

college science majors.]

Saddleback College in Mission Viejo, California [near San Diego].http://www.saddleback.edu/faculty/lperez/Algebra2Go It has instruction information from arithmetic

through the first two semesters of calculus [5th year mathematics in high school or freshman mathematics for

college science majors.]

Tom Lindsey, mos96b@yahoo.com August 1, 2016

The interior angles of a triangle add up to 180 degrees.

An equilateral triangle has three sides of equal length. the interior angle of each angle is

60 degrees.

An equilateral triangle has two lines of equal length that touch at one point and cross a

line at the bottom the two lines. The interior angles at the intersection of the bottom line are

equal in value.

A SCALENE triangle has 3 interior angles of different values. All the angles are less than 90 degrees.

An OBTUSE triangle has one angle that is greater than 90 degrees but less than 180 degrees.

A RIGHT ANGLE triangle has two lines that interest with a 90 degree angle at intersection.

The long side opposite the 90 degree angle is called the hypotenuse. When right angle

length 1 is squared, and length 2 is squared, the sum of the numbers is equal to the square of the side opposite the right angle That side is called the hypotenuse.

(a X a) + (b X b) = (c X c)

PARALLEL LINES

Parallel lines have the same distance between each point on the line for the length of each line. The pound sign on the keyboard # has two horizontal parallel lines and two diagonal lines. A website with geometry information such as math2.org or Algebra2Go ,

http://www.saddleback.edu/faculty/lperez/Algebra2GO or other websites with geometry explanations have pictures of parallel lines and the relationship of angles.

In geometry, a line is an angle of 180 degrees. Cutting a diagonal across a line creates two angles. Two complementary angles are equal to 90 degrees. Two supplementary angles are equal to 180 degrees. Check a geometry textbook or website to confirm or correct this definition of complementary and supplementary angles.

POLYGONS Polygons are enclosed areas with 4 or more sides. A square, trapezoid, rectangle, and any area enclosed by four sides is a polygon.

Polygons usually begin with 5 sides, the pentagon. the six sided polygon is the hexagon, the rarely seen seven sided figure is the heptagon, the eight sided figure is the octagon, and the 10 sided figure is the decagon. The interior angle of a pentagon is 108 degrees, an octagon is 135 degreees, and a decagon is 144 degrees.

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The square of 2 is 4, the square root of 4 is 2. square of 3 is 9, the square root of 9 is 3, square of 4 is 16, square root of 16 is 4

Squares 2, 4 ; 3, 9; 4, 16; 5, 25; 6, 36; 7, 49; 8, 64; 9, 81; 10, 100; 15, 225; 20, 400; 25, 625; 30, 900

The squares of numbers in between have a value of: a( squared) + 2ab + b (squared)

The square of 13 is (10 X 10) + 2(10)(3) + (3 X 3) when a = 10 and b = 3

100 + 60 + 9 = 169

Square roots 4=2; 25=5; 36=6; 49=7; 64=8; 81=9; 100=10; 225=15; 400=20; 625=25; 900=30 .

A cube root will have the root sign with a number 3 above it or in the pocket of the check mark.

What if the value to be squared has a decimal part in the number, such as 1.5?

This is a list of squares from 1.5 to 9.5

SQUARED Value of

1.4 = 1.96

1.5 = 2.25;

2.0 = 4 2.5 = 6.25

3.0= 9 3.5 = 12.25

4.0= 16 4.5 = 20.25

5.0 = 25 5.5 = 30.25 ;

6.0= 36.0 6.5 = 42.25

7.0=49.0 7.5 = 56.25

8.0=64 8.5 = 72.25

9.0=81 9.5 = 90.25

Calculating 9.5 squared using the FOIL method, separating 9.5 into 9.0 and 0.5

( 9.0 + 0.5)((9.0 + 0.5) = 81.0 + 4.5 + 4.5 + 0.25 = 90.25

Some ASVAB mathematics questions may ask for the square root of a number that is not a perfect square. It may ask for the square root of 19 , or 23, or 32, and provide 4 choices.

From the table above, we see that 4.5 squared = 20.25. The square root of 19 is a number

between 4.0 and 4.5 . The square root of 23 is between 4.5 squared (20.25) and 5 squared

= 25, so the root is between 4.5 and 5.0

The square root of 32 is the same as “”square root of 2” X “square root of 16”.

The square root of 16 is 4, so the square root of 32 is the same as 16 X “square root of 2”.

The number value is something higher than 16 X 1.4 =, or higher than 22.4 , but less than

16 X 1.5= or less than 24.0 .

CUBES AND CUBE ROOTS

The symbol for a Cube Root is the root sign with the number 3 above the check mark.

The cubes of integers 1 to 10 are 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

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A prime number is an integer that cannot be separated by two numbers multiplied together.

1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 are prime numbers in the range 1 to 50

Numbers ending with 0, 2, 4, 6, 8 can be divided by the number 2 .

Numbers 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 44, 48 can be divided by the number 3.

Numbers ending with a 5 or 0 can be divided by 5 and other numbers depending upon the number.

Number 49 can be divided by the number 7. 7 X 7 = 49

FACTORIAL NUMBERS

These numbers are an integer followed by the exclamation point sign , such as 9!

9! is 9 X 8 X 7 X 6 X 5 X 4 X 3 X 2 X 1 504 X 120 X 6 = 362,880

4! is 4 X 3 X 2 X 1 = 24

INEQUALITY , LESS THAN OR EQUAL TO, GREATER THAN OR EQUAL TO

< is used to represent two numbers or variables one less than the other a < b , a < 8

> is used to represent two numbers or variables one greater than the other a > b , a > 8

These are used to represent situations where the variable is to be less than or greater than a number

Less than or equal to, or greater than or equal to

The < and > signs are used, but a bar appears under the character.

<_ and >_ (I am not sure how to create these symbols in this Word Press system, but it is probably a typing multiple keys simultaneously.

Another mathematical symbol is for “not equal to” . It is an equal sign = with a slash through it.

/= n /= 2 means that the variable n is not equal to 2.

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An equation might be 5x + y +9 or a formula such as 5a[superscript 3, a X a X a ] + 5xy

Arithmetic uses a system with the acronym PEMDAS for the order of calculations in a series of addition, subtraction, multiplication, division, and exponent power actions. A frequently used phrase to recall the PEMDAS order is

1. Please Excuse My Dear Aunt Sally

2. A phonetic alphabet phrase is Papa Echo Mike Delta Alpha Sierra

Number 1 is most frequently used in textbooks and study guides.

P Parentheses ( ) Perform the mathematical actions with the parentheses.

E Exponents with a number raised one half line above the letter. The number may be positive or negative.

M Multiplication

D Division

A Addition

S Subtraction

What is the value of 5a(x + y) when a = 4, x = 2, and y = 7

Parentheses first (x + y) = 2 + 7 = 9 . Add the two numbers together. If there had been three variables between the parentheses, add the numbers on either side of the + sign, and then subtract that number from the number on the other side of the – sign.

Exponents there are no exponents in this equation, such as a X a or ” a squared “.

Multiplication Multiply 5 X a to get 5 X 4 = 20

Division there are no division actions for this equation.

Addition/Substraction There are no additional actions to be done within the equation.

5a(x + y) when a = 4, x = 2, and y = 7 is 5(4)(2 + 7) = 5(4)(9) = 180

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It is my understanding that these portions of the ASVAB are the ones with the highest failure rate.

I have been looking for internet accessible study help. I have found two groups of sources

Internet web pages and web sites.

Youtube videos.

I have looked at sample GED Tests and sample ASVAB Tests. I think that success in completing GED type questions will help a a person succeed in completing the Arithmetic and Mathematics segments of the ASVAB.

The ASVAB has many questions that are based on algebra or geometry. The following lists of website addresses (URLs) are some I think will help a person. There are many other sites with good instruction. I chose to limit my list to websites that usually have a domain ending in: edu , k12, or org.

There are many study guides available. I found books by 7 different publishers at a bookstore. Public libraries may have “Test Book Section” with a variety of study guides for civil service, military service, undergraduate, and professional education programs. Used book stores may have copies of older editions of study guides. A major change in the GED test system was made in 2014, so only GED guides with copyright dates of 2014 or later should be purchased or borrowed.

ALGEBRA

Professor Perez

http://saddleback.edu/faculty/lperez/algebra2go/prealgebra/index.html .

http://saddleback.edu/faculty/lperez/algebra2go/prealgebra/index.html .

This site was started by Professor Perez of Saddleback Community College, Mission Viejo, California.

The segments begin with pre-algebra mathematics, but continue up through algebra, and perhaps even into calculus.

Web pages are available in English AND in Spanish. The file formats are in several different programs, including .wmv, and Youtube videos.

Web pages are available in English AND in Spanish. The file formats are in several different programs, including .wmv, and Youtube videos.

Khan Academy

http:// www.khanacademy.org

http:// www.khanacademy.org

The Khan Academy was started by by Salman Khan in 2006 to provide free, high-quality instruction to anyone with access to a computer. Broad area of education include Mathematics, Science and Engineering, Arts and Humanities, Computing, and Test Preparation.

The segments with videos to help those preparing for the ASVAB include Arithmetic, Algebra, Geometry, and Probability and Statistics.

The segments with videos to help those preparing for the ASVAB include Arithmetic, Algebra, Geometry, and Probability and Statistics.

A typical URL begins with https://www.khanacademy.org/math/algebra-home/ and one of these words algebra , arithmetic , geometry , probability .

There are subtopics for each of the words. I recommend getting an ASVAB study guide, using it, and then looking at the Kahanacademy video listings to find the video or videos that are most likely to match the study guide topic. (New study guides may have a CD disc or password card included within which will provide links to the publisher’s own help site. Take advantage of this material if it is in the guide.)

GEOMETRY

https://www.saddleback.edu/faculty/lperez/algebra2go/ The sections that show up on the left hand side of the web page under Courses, Math 351 down through Intermediate Algebra may be useful to prepare for examinations.

http://dummies.com The publishers of the “Dummies” book series have web pages about the concepts of geometry and use of geometry.

Some of the websites that I found are:

dummies.com/how-to/content/geometry-formulas-you-should-know.html

/adding-and-subtracting-segments-and-angles.html

/getting-to-know-angles.html

/how-to-measure-line-segments.html

/getting-to-know-points.html

/getting-to-know-angles.html

/how-to-measure-line-segments.html

/getting-to-know-points.html

/bisecting-and-trisecting-segments.html

While scanning Youtube, I came upon a video titled “Most missed GED Math Test Problem” .

I have not checked my ASVAB Test Guides to see if this problem type is also used in the ASVAB test, but I have a hunch that this problem type does appear in the ASVAB.

http://youtube.com/watch?v=4kEpzeCDL_K (I hope that I have the letters and numbers correct in capitalization.)

Khanacademy.org has videos offering instruction in geometry. I think that a person studying for an exam with a pre-examination information sheet, or a common study guide, should look at the sheet or guide and the list of Khan Academy videos to see which ones will help them prepare for that specific examination.

There is a free website http://www.GEDMathlessons.com which may be helpful in studying the types of problems on that exam that are probably similar to those found on the ASVAB test. The author of this site offers a larger, pay for use, site for the total GED.

You may not need to subscribe to it unless you do not have a high school diploma. GED certificate holders must receive a higher score on the AFQT and ASVAB test to be considered enlistment.

If you have a chance to get a high school diploma OR go for a GED, get the diploma./

Studying for the GED test in SPANISH.

I found three sites that offer preparation material to take the Spanish language GED examination. The ASVAB is an English language test. If you feel more

comfortable learning the arithmetic and mathematics in Spanish, you might try these sites.

comfortable learning the arithmetic and mathematics in Spanish, you might try these sites.

Spanish GED www.spanishged365.com

GED EN ESPANOL

Khanlatinoamericano (Khan Academy)

I located a set of 11 lessons for geometry in Khanlatinoamericano when I searched Youtube.com Geometrica 1 ….. Geometrica 11

There may be a set of lessons for algebra The English and spanish spellings of algebra are the same except for the accent over the a.

I located a set of 11 lessons for geometry in Khanlatinoamericano when I searched Youtube.com Geometrica 1 ….. Geometrica 11

There may be a set of lessons for algebra The English and spanish spellings of algebra are the same except for the accent over the a.

The master webpage for Khanlatinoamericano may have a table of contents list similar to the ones of the English language web site.

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