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VOCAB FLASHCARDS

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noun
ACRIMONY
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noun
Bitterness or ill feeling
💡 "Acrid" = sharp/bitter smell
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YOUR WEAK SPOTS

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MOCK EXAM

Simulates real AFOQT time limits · 4 sections · Full debrief at the end

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Arithmetic Reasoning
15 questions · 29 min
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Math Knowledge
15 questions · 22 min
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Word Knowledge
15 questions · 5 min
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Verbal Analogies
15 questions · 8 min
⚠️ Heads up: Word Knowledge is 5 minutes for 15 questions — that's 20 seconds per question. This is intentionally brutal to simulate real test pressure.
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STUDY CENTER

Everything you need to understand the AFOQT — from scratch

📐 Math Topics
½
Fractions & Decimals
Add, subtract, multiply, divide fractions. Convert to decimals.
Math
%
Percentages & Ratios
Percent of, percent change, ratio/proportion problems.
Math
x²
Algebra Fundamentals
Solving equations, inequalities, systems, quadratics.
Math
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Geometry
Area, perimeter, volume, angles, triangles, circles.
Math
🧩
Word Problems
Step-by-step strategy for arithmetic reasoning problems.
Math
📖 Verbal Topics
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Vocabulary & Word Roots
High-frequency AFOQT words, prefixes, suffixes, roots.
Verbal
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Analogies Strategy
How to crack any analogy question. Relationship types + practice.
Verbal
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Reading Comprehension
Main idea, inference, tone, detail questions — fast strategies.
Verbal
↔️
Synonyms & Antonyms
Context clues, elimination, connotation tricks.
Verbal
🤖 AI Deep Dive
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AI Math Tutor
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AI Verbal Tutor
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CHEAT SHEETS

Quick reference for everything on the AFOQT

📐 Essential Math Formulas

PERCENTAGES X% of Y = (X ÷ 100) × Y % Change = (New - Old) ÷ Old × 100 Original = Final ÷ (1 ± %/100) FRACTIONS a/b × c/d = ac/bd a/b ÷ c/d = a/b × d/c a/b + c/d = (ad + bc) / bd RATIOS & PROPORTIONS a/b = c/d → a×d = b×c (cross multiply) AVERAGES Mean = Sum ÷ Count Sum = Mean × Count RATES Distance = Rate × Time Rate = Distance ÷ Time

📐 Geometry Quick Reference

ShapeAreaPerimeter/Circumference
Rectanglel × w2(l + w)
Triangle½ × b × ha + b + c
Circleπ r²2πr
Squares²4s
Trapezoid½(b₁+b₂)×hsum of sides
SolidVolumeSurface Area
Cubes³6s²
Boxl×w×h2(lw+lh+wh)
Cylinderπr²h2πr²+2πrh
Sphere⁴⁄₃πr³4πr²

📐 Algebra Rules

EXPONENTS x⁰ = 1 xᵃ × xᵇ = xᵃ⁺ᵇ xᵃ ÷ xᵇ = xᵃ⁻ᵇ (xᵃ)ᵇ = xᵃᵇ x⁻ᵃ = 1/xᵃ √x = x^(1/2) QUADRATIC FORMULA x = (-b ± √(b²-4ac)) / 2a for ax² + bx + c = 0 FOIL (a+b)(c+d) = ac + ad + bc + bd DIFF OF SQUARES a²-b² = (a+b)(a-b) PERFECT SQUARE (a+b)² = a²+2ab+b²

📖 Word Roots Cheat Sheet

RootMeaningExamples
bene / bongoodbenefit, bonus, benevolent
mal / misbadmalicious, mistake, malevolent
portcarryportable, transport, import
dict / loc / vocsay/speakdictate, location, vocal
vert / versturnconvert, reverse, divert
scrib / scriptwritedescribe, manuscript, inscribe
aud / sonhear/soundaudio, sonic, audible
vis / vidseevision, video, visible
chrono / temptimechronic, temporary, chronology
geo / terraearthgeography, terrain, geology
bio / vitlifebiology, vital, biography
phillovephilosophy, philanthropist
mis / monohate/onemisanthrope, monotone
multi / polymanymultiply, polygon, polyglot
ante / prebeforeantecedent, preview, precede
post / subafter/underpostpone, submarine, subsequent

📖 Analogy Relationship Types

TypeExampleBridge Sentence
Part → WholeFINGER : HAND"A finger is part of a hand"
Tool → UserSCALPEL : SURGEON"A surgeon uses a scalpel"
Cause → EffectFIRE : ASH"Fire causes ash"
SynonymHAPPY : ELATED"Happy means elated (less intense)"
AntonymTIMID : BOLD"Timid is the opposite of bold"
DegreeWARM : HOT"Hot is an extreme form of warm"
Member → GroupSOLDIER : ARMY"Soldiers make up an army"
FunctionNEEDLE : SEW"A needle is used to sew"
LocationFISH : OCEAN"Fish live in the ocean"

📖 High-Frequency AFOQT Vocabulary

WordDefinitionMemory Hook
AcrimonyBitterness, hostility"Acrid" = sharp/bitter smell
BanalBoring, unoriginalSame as "bland"
CandorHonesty, frankness"Candid camera" = real/honest
DearthScarcity, lack"Death" of supply
EbullientEnthusiastic, bubblyLike boiling over with excitement
EquivocalAmbiguous, unclearEqual voices = unclear which
FurtiveSecretive, sneakyLike a thief (fur coat = sneak)
GregariousSociable, outgoingLoves groups (gregarious = herd)
HaplessUnlucky"Hap" = luck, "-less" = without
ImpetuousImpulsive, rashLike a storm: impetus = force
LoquaciousVery talkative"Loc" = speak + "-ious" = full of
MendaciousLying, dishonest"Mend" a story = make it up
NefariousWicked, criminalSounds like "nefarious villain"
ObsequiousExcessively agreeableLike a yes-man: always obeys
PellucidTransparent, clear"Lucid" = clear
QuerulousWhiny, complainingLike a question/quarrel always
RecalcitrantStubbornly resistantRe-calculates to resist again
SagaciousWise, shrewdLike a sage (wise person)
TaciturnReserved, quiet"Tacit" = silent
VerboseUsing too many words"Verb"-ose = too many verbs/words

🎯 Test Strategy Quick Guide

Word Problems (Math): Read twice → underline what's being asked → write out knowns → choose formula → solve → check if answer makes sense.
Analogies: Always make a bridge sentence first. "A ___ is used to ___." Then test all 4 answer choices with the SAME sentence.
Vocabulary you don't know: Check the prefix/suffix/root → think of a word that sounds similar → use context (positive/negative tone) → eliminate obviously wrong answers.
Reading Comprehension: Read the questions FIRST so you know what to look for. The answer is ALWAYS in the passage — don't use outside knowledge.
Time management: Don't spend more than 60–90 seconds per question. Mark it and move on — return if time allows.