NAPT Cheat Sheet 2026

The 30 highest-yield NAPT facts, distilled from real exam questions. Print it, save it as a PDF, or study it here — free, no sign-up.

1. Simplify the expression (3x^3y^2) * (4x^-1y^4). → 12x^2y^6
2. Which of the following statements is a fundamental characteristic of a parallel circuit? → The voltage across each component is the same.
3. Carbon-12 and Carbon-14 are both isotopes of the element carbon. What is the fundamental difference between them? → They have a different number of neutrons.
4. Which of the following is the correct solution for x in the logarithmic equation: log₂(x) + log₂(x - 4) = 5? → x = 8
5. In a 30-60-90 right triangle, which of the following statements is true regarding the lengths of its sides? → The hypotenuse is twice the length of the shorter leg.
6. A communications tower casts a shadow that is 75 meters long when the sun's angle of elevation is 45°. What is the height of the tower? → 75 meters
7. Which of the following features is introduced in Modern Warfare II to enhance gameplay and movement tactics? → Dive to prone
8. What foot do you call "To the rear, March" on? → Right
9. What New American Team is added to Modern Warfare? → Army Airborne Rangers
10. According to Bernoulli's principle, as the velocity of a fluid increases, its pressure: → Decreases
11. An O-6 in the United States Navy is a Commander. → False
12. Which of the following physical principles best explains why a ship made of steel can float on water? → Archimedes' Principle
13. A circular radar screen has a circumference of 12π inches. What is the area of the screen? → 36π square inches
14. Which of the following scenarios best exemplifies heat transfer primarily through convection? → A ventilation system circulates cooled air throughout a ship's compartment.
15. Given Matrix A = [[3, 1], [4, 2]] and Matrix B = [[5, 0], [1, 6]], what is the product A * B? → [[16, 6], [22, 12]]
16. Pascal's Law states that pressure applied to a confined fluid is transmitted: → Equally in all directions throughout the fluid
17. When an atom of Carbon-14 (¹⁴C), which has 6 protons and 8 neutrons, undergoes beta-minus decay, what is the resulting nucleus? → Nitrogen-14 (¹⁴N)
18. A 1,200 kg vehicle accelerates from 10 m/s to 30 m/s over a period of 5 seconds. What is the average net force acting on the vehicle during this acceleration? → 4,800 N
19. When you are at war, how many Bombers should you need? → 5
20. The gauge pressure at the bottom of a column of water 10 meters deep (density = 1000 kg/m³, g = 9.8 m/s²) is approximately: → 98,000 Pa
21. A projectile is fired from a naval gun with an initial velocity. Neglecting air resistance, which of the following statements is true about its motion? → Its horizontal velocity is constant.
22. How many Cruise Missiles should you have in your nation if you are not at war? → 0
23. Which of the following equations represents a line that is perpendicular to the line with the equation y = -1/4x + 5? → y = 4x - 6
24. What is the derivative of the function f(x) = 4x³ - 7x² + 2x - 9 with respect to x? → 12x² - 14x + 2
25. Viscosity in a fluid is a measure of its: → Resistance to flow or internal friction
26. A complex number operation is defined as (3 + 5i) * (2 - 4i). What is the resulting complex number in the form a + bi? → 26 - 2i
27. The continuity equation for incompressible fluid flow states that: → The product of cross-sectional area and flow velocity is constant
28. What improvements should you get before attacking? → Guerilla Camps
29. Which of the following is the most significant shared characteristic among elements located in the same vertical column (group) of the periodic table? → They have similar chemical properties.
30. When giving the command, "Column Right, March", what foot is the command of execution called on? → Right