Original Expanded Study Guide
Navy Advanced Programs Test (NAPT) preparation • Mathematics • Physics • Chemistry • Reasoning
Original-study-material notice: This guide is independently written. It does not reproduce Stuvia's paid document or
actual/secure test questions. It is designed to build the underlying skills represented in publicly available NAPT preparation
material.
Current-reference note: Navy sources identify the NAPT as part of nuclear-field qualification. Current MyNavyHR
information states a NAPT minimum passing score of 55 for the nuclear field and lists the relevant ASVAB/NAPT
qualification framework. Always confirm current eligibility requirements with an official recruiter or current Navy guidance.
Navy NAPT Original Study Guide • Page 1
, 1. NAPT ORIENTATION
Q1. What is the NAPT?
The Navy Advanced Programs Test is an aptitude/qualification examination used in the Navy nuclear-field accession
process. It is intended to assess academic readiness in areas important to the demanding technical training pipeline.
Q2. What academic areas should a candidate prioritize?
Build a strong foundation in algebra, geometry, trigonometry, physics, chemistry, and quantitative reasoning. Recent
public study discussions also emphasize algebra/geometry and physics as high-value preparation areas.
Q3. What is the most important preparation principle?
Do not rely on memorizing a list of answers. Learn the relationships, formulas, units, and problem-solving steps so that
you can handle unfamiliar versions of familiar problems.
Exam mindset
When a problem looks difficult, identify what is known, what is being asked, which principle connects them, and which
units should appear in the answer.
2. ALGEBRA FUNDAMENTALS
Q4. Solve: 3x + 7 = 25.
Subtract 7: 3x = 18. Divide by 3: x = 6.
Q5. Simplify: (2x²)(3x³).
Multiply coefficients and add exponents: 6x■.
Q6. Factor x² − 25.
Difference of squares: (x − 5)(x + 5).
Q7. Solve x² = 49.
x = ±7. Remember that squaring removes the sign, so both +7 and −7 are solutions.
Q8. What is slope?
Slope measures the rate of change of y with respect to x: m = (y■ − y■)/(x■ − x■).
Q9. Solve: 5x − 4 = 2x + 11.
3x = 15, so x = 5.
Trap
When distributing a negative sign, every term inside the parentheses changes sign. This is one of the easiest ways to
lose points on otherwise simple algebra.
3. EXPONENTS, RADICALS & SCIENTIFIC NOTATION
Q10. What is x■x■?
For the same nonzero base, x■x■ = x■■■.
Q11. What is x■/x■?
For x ≠ 0, x■/x■ = x■■■.
Q12. What is (x■)■?
Multiply exponents: x■■.
Navy NAPT Original Study Guide • Page 2