Cheat sheet
NAPT Cheat Sheet
Math and Pre-Calculus
- Not published of exam
- Exponent Rules Algebra Essentials Geometry Formulas Trig Basics Order of Operations
Physics and Mechanics
- Not published of exam
- Units and Constants Kinematics Forces and Energy Motion Formula Picker Speed vs Velocity Work vs Power
Electricity, Heat, Fluids
- Not published of exam
- Electricity Basics Heat and Fluids Circuit Picker Series vs Parallel Ohm's Law
Chemistry Fundamentals
- Not published of exam
- Chemistry Core Atomic Structure Moles and Gas Laws Periodic Table
Qualification and Test Rules
- Not published of exam
- ASVAB Composites Test Day Rules Retest Rules NAPT Needed? NFa vs NFb
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 MA
- SOH CAH TOA
- Sin: opp/hyp Cos: adj/hyp Tan: opp/adj
Exponent Rules MA
- 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 MA
- PEMDAS: work left to right
- Parentheses Exponents Multiply/Divide Add/Subtract
Algebra Essentials MA
- 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 MA
- 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 MA
- 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 PH
- SUVAT: pick the missing letter
- s: displacement u: initial velocity v: final velocity a: acceleration t: time
Speed vs Velocity PH
Speed
- Scalar
- Magnitude only
- Distance / time
Velocity
- Vector
- Carries direction
- Displacement / time
- No direction vs direction
Motion Formula Picker PH
- 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 PH
- 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 PH
Work
- Force × distance
- Measured in joules
- No time term
Power
- Work ÷ time
- Measured in watts
- Rate of work
- Amount vs rate
Kinematics PH
- 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 PH
Mass
- Amount of matter
- Kilograms
- Same everywhere
Weight
- Force of gravity
- Newtons
- W = mg
- Matter vs gravity force
Forces and Energy PH
- 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 EL
- V on top, I times R
- V = IR I = V/R R = V/I
Series vs Parallel EL
Series
- One path
- Current same
- Resistances add
Parallel
- Many paths
- Voltage same
- Reciprocals add
- Same current vs same voltage
Circuit Picker EL
- 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 EL
- 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 EL
Heat
- Energy transferred
- Joules
- Q = mcΔT
Temperature
- Average kinetic energy
- Kelvin or Celsius
- Not mass dependent
- Energy vs intensity
Heat and Fluids EL
- 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 CH
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 CH
- 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 CH
- 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 CH
- 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 LO
- AR MK EI GS or VE MC
- AR: arithmetic reasoning MK: math knowledge EI: electronics information GS: general science VE: verbal expression MC: mechanical comprehension
NFa vs NFb LO
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? LO
- 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 LO
- 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 LO
- 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 LO
- 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
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