Mathematics
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English
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Science
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Abstract Reasoning
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General Information
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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
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
- Two variables, two equations→Substitution or elimination(Same answer)
- Quadratic won't factor→Quadratic formula(Plug into formula)
- Speed distance time given→d = r times t(Solve for unknown)
- Percent word problem→Part equals percent times whole(Convert percent to decimal)
- 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
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
- Collective noun subject→Treat as singular(The team is)
- Neither nor subject→Verb matches closer noun(Nor not or)
- Confusing affect or effect→Affect is usually the verb(Effect is the noun)
- Choosing active or passive→Prefer active voice(Clearer and more direct)
- Finding the main idea→Read 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
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
- Object at rest question→Apply Newton's first law(Inertia keeps it still)
- Force and mass given→Apply Newton's second law(F equals m times a)
- Matter changing phase→Match to phase change name(Melting freezing evaporation condensation)
- Solution pH given→Compare to 7 neutral(Below acidic, above basic)
- Earth layer question→Order 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
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
- Shapes rotate each step→Track the rotation degree(Apply same turn)
- Grid of nine figures→Check rows and columns(Find the shared rule)
- A is to B→Define the exact relationship(Match it to C-D)
- List of numbers given→Test simple differences first(Then try ratios)
- Two premises given→Check 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
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.PEMDAS parentheses first, then multiply-divide
- 2.Pythagorean theorem needs a right triangle
- 3.Subject-verb agreement ignores intervening phrases
- 4.Affect is verb, effect is noun
- 5.Newton's third law: equal opposite reaction
- 6.pH below 7 means acidic
- 7.PMA founded December 21, 1936
- 8.Honor Code bans lying and cheating
- 9.Congress is bicameral: Senate plus House
- 10.No calculator allowed during exam
- 11.Philippines has 7,641 islands total
- 12.AFP has three service branches
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