Cheat sheet

PMA Entrance Exam (PMAEE) Cheat Sheet 2026

Mathematics

Not publishedof exam

PEMDAS OrderLinear EquationsQuadratic FormulaRatio And ProportionDistance Rate TimePythagorean TheoremPolygon Angle SumArea Formulas

English

Not publishedof exam

Subject-Verb AgreementPronoun AntecedentHomophonesParts Of SpeechActive Passive VoiceAffect Vs EffectSentence TypesReading Main Idea

Science

Not publishedof exam

Newton's Three LawsStates Of MatterAtomic StructurePhotosynthesispH ScaleEarth LayersWater Cycle

Abstract Reasoning

Not publishedof exam

Figure SequencesAnalogiesPattern MatricesNumber SeriesLetter SeriesMirror SymmetrySyllogismsShape Rotation

General Information

Not publishedof exam

Philippine IndependenceJose RizalGovernment Branches1987 ConstitutionBicameral CongressPMA FoundingPMA Honor CodeAFP Branches7,641 Islands

Quick Facts

Exam
PMAEE
Full name
PMA Entrance Examination
Subtests
Math, English, Science, Abstract, General Info
Items
150-200 multiple-choice questions
Time limit
3 hours (180 minutes)
Pass rate
About 4-5% of applicants
Passing score
No fixed score (competitive)
Fee
Free (0 PHP)
Age range
17 to 22 years old
Format
Paper-and-pencil, no calculator

PEMDAS Order Mnemonic

Please Excuse My Dear Aunt Sally

P: parenthesesE: exponentsM/D: multiply divideA/S: add subtract

Ratio vs Proportion

Ratio

  • Compares two quantities
  • Written as a:b

Proportion

  • Sets two ratios equal
  • Solve by cross-multiplying

Proportion sets two ratios equal

Math Problem Type Picker

  1. Two variables, two equationsSubstitution or elimination(Same answer)
  2. Quadratic won't factorQuadratic formula(Plug into formula)
  3. Speed distance time givend = r times t(Solve for unknown)
  4. Percent word problemPart equals percent times whole(Convert percent to decimal)
  5. Polygon angle sum needed(n-2) times 180(n is side count)

Algebra Quick Rules

PEMDAS order
Parentheses, exponents, multiply-divide, add-subtract
Linear equation
Combine terms, undo addition first
Quadratic formula use
When factoring doesn't work cleanly
Percent change
New minus old, over old
Ratio to proportion
Cross-multiply to solve proportions
System of equations
Substitution or elimination, same answer

Geometry Formulas

Rectangle area
Length times width
Triangle area
Half times base times height
Circle area
Pi times radius squared
Circle circumference
Pi times diameter
Pythagorean theorem
Legs squared sum equals hypotenuse squared
Polygon interior angle sum
(n minus 2) times 180

Eight Parts Of Speech

Noun pronoun verb adjective adverb preposition conjunction interjection

Noun: person place thingPronoun: replaces nounVerb: action or stateAdjective: describes noun

Affect vs Effect

Affect

  • Usually a verb
  • Means to influence

Effect

  • Usually a noun
  • Means the result

Affect acts, effect is result

English Rule Quick Picker

  1. Collective noun subjectTreat as singular(The team is)
  2. Neither nor subjectVerb matches closer noun(Nor not or)
  3. Confusing affect or effectAffect is usually the verb(Effect is the noun)
  4. Choosing active or passivePrefer active voice(Clearer and more direct)
  5. Finding the main ideaRead the topic sentence(Often stated first)

Core Grammar Rules

Subject-verb agreement
Singular subject takes singular verb
Pronoun-antecedent agreement
Pronoun matches antecedent in number
Active voice
Subject performs the action
Passive voice
Subject receives the action
Affect vs effect
Affect is verb, effect noun
Verb tense
Stay consistent unless time shifts

Active vs Passive Voice

Active

  • Subject performs action
  • Clearer and direct

Passive

  • Subject receives action
  • Often wordier

Prefer active for PMAEE writing

Vocabulary And Reading

Common homophones
their, there, and they're differ
Synonym strategy
Use context clues, eliminate opposites
Antonym strategy
Find the most direct opposite
Main idea
Passage's central point, not detail
Supporting details
Facts and examples backing main idea
Parts of speech count
Eight total: noun to interjection

Newton's Three Laws Mnemonic

Inertia, Force equals mass times acceleration, action-reaction

1st: inertia at rest2nd: F equals ma3rd: equal opposite reaction

Acid vs Base (pH)

Acid

  • pH below 7
  • Sour and reactive

Base

  • pH above 7
  • Also called alkaline

Below 7 acidic, above basic

Science Quick Fact Picker

  1. Object at rest questionApply Newton's first law(Inertia keeps it still)
  2. Force and mass givenApply Newton's second law(F equals m times a)
  3. Matter changing phaseMatch to phase change name(Melting freezing evaporation condensation)
  4. Solution pH givenCompare to 7 neutral(Below acidic, above basic)
  5. Earth layer questionOrder crust mantle outer inner(Outer core is liquid)

Physics And Chemistry Basics

Newton's first law
Object stays at rest, or moving
Newton's second law
Force equals mass times acceleration
Newton's third law
Every action has an equal reaction
States of matter
Solid, liquid, gas, and plasma
Atomic structure
Protons and neutrons in nucleus
pH scale
0 to 14; below 7 acidic

Water Cycle Order

Evaporation, condensation, precipitation, then collection

Evaporation: heat makes vaporCondensation: vapor cools cloudsPrecipitation: rain or snow fallsCollection: water returns runoff

Solid vs Gas

Solid

  • Fixed shape and volume
  • Particles tightly packed

Gas

  • No fixed shape
  • Particles spread far apart

Solids hold shape, gases don't

Earth And Life Science

Photosynthesis inputs
Carbon dioxide, water, and sunlight
Photosynthesis outputs
Glucose and oxygen produced
Water cycle steps
Evaporation, condensation, precipitation, collection
Earth's layers order
Crust, mantle, outer core, inner core
Speed formula
Distance divided by time
Phase change: freezing
Liquid turns into a solid

Analogy vs Number Series

Analogy

  • Compares word or figure pairs
  • Same relationship both sides

Series

  • Continues a sequence
  • Look for the pattern rule

Analogy pairs, series continues pattern

Abstract Reasoning Pattern Picker

  1. Shapes rotate each stepTrack the rotation degree(Apply same turn)
  2. Grid of nine figuresCheck rows and columns(Find the shared rule)
  3. A is to BDefine the exact relationship(Match it to C-D)
  4. List of numbers givenTest simple differences first(Then try ratios)
  5. Two premises givenCheck the logical conclusion(Follows premises only)

Visual Pattern Strategies

Figure sequence
Find the one changing attribute
Pattern matrix
Check rule across row and column
Mirror symmetry
Flip across the axis line
Shape rotation
Track consistent degree of turn
Odd one out
Find the item breaking the rule
Letter-number code
A equals 1, Z equals 26

Rotation vs Reflection

Rotation

  • Figure turns in place
  • Same size and shape

Reflection

  • Figure flips across an axis
  • Mirrors left and right

Rotation turns, reflection mirrors it

Verbal And Numerical Reasoning

Analogy strategy
Define first pair's relationship exactly
Number series
Test differences, then test ratios
Syllogism check
Conclusion must follow both premises
Classification strategy
Find the shared property, then exception
Part-to-whole analogy
Soldier is to regiment
Tool-to-measure analogy
Thermometer is to temperature

Three Island Groups

Luzon, Visayas, and Mindanao form the Philippines

Luzon: largest, northernmost islandVisayas: central island clusterMindanao: second largest, south

Executive vs Legislative Branch

Executive

  • Headed by the President
  • Also Commander-in-Chief of AFP

Legislative

  • Congress makes the laws
  • Senate and House together

President leads, Congress makes laws

Philippine Civics And History

Independence Day
June 12, 1898, declared by Aguinaldo
Independence Day site
Aguinaldo's residence in Kawit, Cavite
Jose Rizal execution
December 30, 1896, at Bagumbayan
Three branches
Executive, Legislative, and Judicial
1987 Constitution
Basis for current Philippine government
Congress structure
Bicameral: Senate and House

PMA And AFP Facts

Senate size
24 senators, six-year terms
PMA founding date
December 21, 1936
PMA location
Fort del Pilar, Baguio City
PMA Honor Code
Do not lie, cheat, or steal
AFP branches
Army, Navy, and Air Force
Philippine islands count
7,641 islands per NAMRIA
Commander-in-Chief
The President under Article VII

Common Traps

Collective Noun Agreement Trap

Team is singular noun Avoid using team are

Neither Nor Verb Agreement

Verb matches nearer subject Pair neither with nor

Affect Effect Confusion

Affect is the verb Effect is the noun

PEMDAS Multiply Divide Order

Multiply and divide are equal Work strictly left to right

Newton's Second Law Units

Force equals mass times acceleration Not mass plus acceleration

pH Scale Direction

Below 7 means acidic Above 7 means basic

Polygon Angle Sum Formula

Formula is (n-2) times 180 Not n times 180

PMA Founding Vs Location

Founded 1936, located Baguio Not founded in Manila

Last Minute

  1. 1.PEMDAS parentheses first, then multiply-divide
  2. 2.Pythagorean theorem needs a right triangle
  3. 3.Subject-verb agreement ignores intervening phrases
  4. 4.Affect is verb, effect is noun
  5. 5.Newton's third law: equal opposite reaction
  6. 6.pH below 7 means acidic
  7. 7.PMA founded December 21, 1936
  8. 8.Honor Code bans lying and cheating
  9. 9.Congress is bicameral: Senate plus House
  10. 10.No calculator allowed during exam
  11. 11.Philippines has 7,641 islands total
  12. 12.AFP has three service branches
Same family resources

Explore More Philippines Military Exams

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.