Math and Pre-Calculus
Not publishedof exam
Physics and Mechanics
Not publishedof exam
Electricity, Heat, Fluids
Not publishedof exam
Chemistry Fundamentals
Not publishedof exam
Qualification and Test Rules
Not publishedof exam
Quick Facts
- Test
- NAPT
- Purpose
- Nuclear Field supplement
- Time
- Two hours
- Pass score
- 55 minimum
- Questions
- Not published
- Content weights
- Not published
- Score validity
- Two years
- Retest
- Once, after 90 days
- Given by
- Navy recruiting testers
- Calculator
- Allowed, approved models
- Skips NAPT
- Composite > 252
Trig Ratios
SOH CAH TOA
Sin: opp/hypCos: adj/hypTan: opp/adj
Exponent Rules
- x^a × x^b
- x^(a+b)
- x^a ÷ x^b
- x^(a-b)
- (x^a)^b
- x^(ab)
- x^0
- 1, for x≠0
- x^-n
- 1/x^n
- x^(1/2)
- √x
- (xy)^a
- x^a × y^a
- log(ab)
- log a + log b
- log₁₀(1000)
- 3
Order of Operations
PEMDAS: work left to right
ParenthesesExponentsMultiply/DivideAdd/Subtract
Algebra Essentials
- Quadratic formula
- (-b±√(b²-4ac))/2a
- Discriminant
- b² - 4ac
- Slope
- (y₂-y₁)/(x₂-x₁)
- Line form
- y = mx + b
- Distance
- √((x₂-x₁)² + (y₂-y₁)²)
- Difference of squares
- a²-b² = (a+b)(a-b)
- |2x-6| = 10
- x = 8 or -2
- Infinite geometric sum
- a/(1-r) when |r|<1
- Two equations
- Substitute or eliminate
Geometry Formulas
- Circle area
- πr²
- Circle circumference
- 2πr
- Sphere volume
- (4/3)πr³
- Sphere surface
- 4πr²
- Cylinder volume
- πr²h
- Cone volume
- (1/3)πr²h
- Triangle area
- ½ base × height
- Pythagorean
- a² + b² = c²
- Triangle angles
- Always sum 180°
Trig Basics
- sin θ
- Opposite / hypotenuse
- cos θ
- Adjacent / hypotenuse
- tan θ
- Opposite / adjacent
- sin 30°
- 1/2
- cos 60°
- 1/2
- sin 45°
- √2/2
- tan 45°
- 1
- Pythagorean identity
- sin²θ + cos²θ = 1
- Radian conversion
- 180° = π rad
Kinematics Variables
SUVAT: pick the missing letter
s: displacementu: initial velocityv: final velocitya: accelerationt: time
Speed vs Velocity
Speed
- Scalar
- Magnitude only
- Distance / time
Velocity
- Vector
- Carries direction
- Displacement / time
No direction vs direction
Motion Formula Picker
- No displacement given→v = u + at
- No final velocity→s = ut + ½at²
- No time given→v² = u² + 2as
- No acceleration given→s = ½(u+v)t
- Object dropped→u = 0(a = g)
- Thrown straight upward→v = 0 at top(Fall mirrors rise)
- Projectile launched→Split into components(Horizontal stays constant)
- Force and mass known→F = ma(Then use kinematics)
Units and Constants
- g
- 9.8 m/s² downward
- Newton
- kg·m/s²
- Joule
- N·m, energy unit
- Watt
- Joule per second
- Pascal
- N/m², pressure unit
- Coulomb
- Unit of charge
- Water density
- 1000 kg/m³
- 1 atm
- 101,325 Pa
Work vs Power
Work
- Force × distance
- Measured in joules
- No time term
Power
- Work ÷ time
- Measured in watts
- Rate of work
Amount vs rate
Kinematics
- v = u + at
- No displacement term
- s = ut + ½at²
- No final velocity
- v² = u² + 2as
- No time term
- s = ½(u+v)t
- No acceleration term
- Free fall
- u = 0, a = g
- Projectile range
- u²sin(2θ)/g
- Max height
- u²sin²θ/(2g)
- Horizontal velocity
- Constant, gravity ignored
Mass vs Weight
Mass
- Amount of matter
- Kilograms
- Same everywhere
Weight
- Force of gravity
- Newtons
- W = mg
Matter vs gravity force
Forces and Energy
- Newton's first law
- Inertia, no net force
- Newton's second law
- F = ma
- Newton's third law
- Equal opposite pairs
- Weight
- W = mg
- Work
- W = F·d·cosθ
- Kinetic energy
- ½mv²
- Potential energy
- mgh
- Power
- Work / time
- Momentum
- p = mv
- Friction
- f = μN
Ohm's Law
V on top, I times R
V = IRI = V/RR = V/I
Series vs Parallel
Series
- One path
- Current same
- Resistances add
Parallel
- Many paths
- Voltage same
- Reciprocals add
Same current vs same voltage
Circuit Picker
- One current path→Series(Resistances add)
- Multiple current paths→Parallel(Reciprocals add)
- Need total resistance→R = V/I
- Need power→P = VI(Or I²R)
- Voltage drops given→Kirchhoff voltage law(Loop sums zero)
- Junction currents given→Kirchhoff current law(In equals out)
Electricity Basics
- Ohm's law
- V = IR
- Electric power
- P = VI = I²R
- Series resistance
- R = R₁ + R₂
- Parallel resistance
- 1/R = 1/R₁ + 1/R₂
- Series current
- Same through all
- Parallel voltage
- Same across all
- Kirchhoff current law
- In equals out
- Kirchhoff voltage law
- Loop sum zero
- Coulomb's law
- F = kq₁q₂/r²
Heat vs Temperature
Heat
- Energy transferred
- Joules
- Q = mcΔT
Temperature
- Average kinetic energy
- Kelvin or Celsius
- Not mass dependent
Energy vs intensity
Heat and Fluids
- Heat energy
- Q = mcΔT
- Conduction
- Transfer by contact
- Convection
- Transfer by fluid movement
- Radiation
- Transfer by electromagnetic waves
- First law
- ΔU = Q - W
- Fluid pressure
- P = ρgh
- Gauge pressure
- Excludes atmospheric pressure
- Buoyant force
- Weight of displaced fluid
- Wave speed
- v = fλ
Atomic vs Mass Number
Atomic number
- Protons only
- Defines the element
- Symbol Z
Mass number
- Protons plus neutrons
- Varies by isotope
- Symbol A
Identity vs total nucleons
Chemistry Core
- Mole
- 6.022 × 10²³ particles
- Molar mass
- Grams per mole
- Ionic bond
- Metal plus nonmetal
- Covalent bond
- Shared electron pair
- pH 7
- Neutral solution
- Acid
- Donates protons
- Base
- Accepts protons
- Molarity
- Moles per liter
Atomic Structure
- Atomic number
- Proton count
- Mass number
- Protons plus neutrons
- Isotope
- Same protons, different neutrons
- Ion
- Charged, unequal electrons
- Neutral atom
- Protons equal electrons
- Group
- Periodic table column
- Period
- Periodic table row
- Valence electrons
- Outer shell electrons
Moles and Gas Laws
- Ideal gas law
- PV = nRT
- Boyle's law
- P₁V₁ = P₂V₂
- Charles's law
- V₁/T₁ = V₂/T₂
- Gay-Lussac's law
- P₁/T₁ = P₂/T₂
- Gas law temperature
- Always use kelvin
- STP
- 0°C and 1 atm
- Molar volume
- 22.4 L at STP
Composite Letters
AR MK EI GS or VE MC
AR: arithmetic reasoningMK: math knowledgeEI: electronics informationGS: general scienceVE: verbal expressionMC: mechanical comprehension
NFa vs NFb
NFa
- Composite > 252
- No NAPT needed
- ASVAB alone qualifies
NFb
- Composite > 235
- NAPT 55 required
- Composite+NAPT > 290
Direct qual vs NAPT path
NAPT Needed?
- Composite > 252→No NAPT(NFa route)
- Composite 236-252→NAPT required(NFb route)
- Composite 235 or below→Not NF eligible(Improve ASVAB first)
- NAPT below 55→Not qualifying(55 is minimum)
- NAPT 55 or higher→Check the 290 sum(Composite+NAPT > 290)
- Sum 290 or below→Still not qualified(Both rules apply)
- No algebra year passed→Not NF eligible(Program prerequisite)
- AFQT below 65→Check other screens(Class rank counts)
ASVAB Composites
- AR
- Arithmetic Reasoning
- MK
- Mathematics Knowledge
- EI
- Electronics Information
- GS
- General Science
- MC
- Mechanical Comprehension
- VE
- Verbal Expression
- NFa line
- AR+MK+EI+GS > 252
- NFa alternate
- AR+MK+VE+MC > 252
- NFb line
- Same composites > 235
- NFb combined
- Composite+NAPT > 290
Test Day Rules
- Length
- Two hours
- Calculator
- Four-function, scientific, graphing
- Banned calculators
- QWERTY, noisy, data-transferring
- Phones
- None in testing room
- Study aids
- Banned inside exam room
- Leaving room
- Escort required
- Before leaving
- Turn in booklet, sheet
- Location
- Authorized storage sites only
- Answer sheet
- Standard Navy four-choice
- Score recorded
- Pass or fail, always
Retest Rules
- Retests allowed
- One single retest
- Eligibility
- Initial score 40+
- Wait
- 90 days minimum
- Version
- Alternate NAPT version
- Proof needed
- Math or science coursework
- Course rule
- Half completed after test
- Retest pass mark
- Still 55 minimum
- Score life
- Valid two years
Common Traps
Passing score myth
Minimum score is 55 ≠ Older pages say 50
NFa and NFb confusion
NFa skips the NAPT ≠ NFb requires the NAPT
NAPT alone is not selection
55 clears one rule ≠ Composite and 290 also apply
Question count
Navy publishes no count ≠ 80 is unofficial
Content weights
No published blueprint ≠ Domain percentages are invented
Retest is not automatic
Needs initial score 40+ ≠ Plus new coursework proof
Score life vs retest wait
Scores last two years ≠ Retest waits 90 days
Calculator vs notes
Calculator is allowed ≠ Study aids stay outside
Mass and weight units
Mass in kilograms ≠ Weight in newtons
Last Minute
- 1.NAPT pass score is 55
- 2.Two hours; question count unpublished
- 3.Content weights are not published
- 4.NFa composite > 252 skips NAPT
- 5.NFb composite > 235 needs NAPT
- 6.Composite+NAPT must exceed 290
- 7.NAPT scores stay valid two years
- 8.Retest once; needs 40+ plus coursework
- 9.Retest waits 90 days minimum
- 10.Calculator allowed; notes and phones banned
- 11.One passed algebra year required
- 12.Ohm: V = IR; P = VI
- 13.Series adds R; parallel reciprocals
- 14.SOH CAH TOA for right triangles
- 15.Gas law problems need kelvin
- 16.Work = force × distance
- 17.Power = work ÷ time
- 18.Free fall: u = 0, a = g
Same family resources
Explore More Military Aptitude Tests
Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.
More From This Family
Videos and articles for deeper review.
VideoNAPT Guide 2026: Navy Nuclear Field Scores, Eligibility, and Study PlanThis examVideoAFCT Study Guide 2026: Format, Scores, and Service-Specific Retest RulesVideoASVAB Exam Guide 2026: All 10 Subtests, AFQT & ScoresVideoASVAB Hardest Sections Ranked 2026: Expert Strategies to Conquer Every SubtestArticleNAPT Guide 2026: Navy Nuclear Field Scores, Eligibility, and Study Plan12 min readArticleAFCT Study Guide 2026: Format, Scores, and Service-Specific Retest Rules15 min readArticleFREE PiCAT Exam Guide 2026: Verification Test, At-Home ASVAB, Branch Cutoffs21 min readArticleASVAB Exam Guide 2026: All 10 Subtests, AFQT & Scores15 min read