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100+ Free Angola Naval Academy Entrance Exam Practice Questions

Prepare for the Concurso de Admissão à Academia Naval — Marinha de Guerra Angolana (FAA) exam with instant access — no signup required.

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Key Facts: Angola Naval Academy Entrance Exam Exam

MGA / FAA

Branch / Defense Component

Forças Armadas Angolanas

13 / 20

Minimum Secondary-School Average to Apply

Comunicado FAA — Recrutamento Especial 2026/2027

Math & Physics

Core Scientific Subject Areas

Edital de Concurso da Academia Naval

Portuguese

Official Examination Language

CRA Article 19

Free English-language MCQ study adaptation for Angola's Portuguese-language Concurso de Admissão à Academia Naval (MGA/FAA), covering Mathematics, Physics, Portuguese grammar and analysis, and nautical/military fundamentals. It is not an official translation or military simulation.

Sample Angola Naval Academy Entrance Exam Practice Questions

Try these sample questions to test your Angola Naval Academy Entrance Exam exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve the quadratic equation 2x² - 8x + 6 = 0 for all real roots.
A.x = -1 and x = -3
B.x = 2 and x = 3
C.x = 1 and x = 4
D.x = 1 and x = 3
Explanation: Dividing the equation by 2 gives x² - 4x + 3 = 0. Factoring gives (x - 1)(x - 3) = 0, yielding the roots x = 1 and x = 3.
2In a right-angled triangle, if the opposite side to angle θ is 6 meters and the adjacent side is 8 meters, what is the value of cos(θ)?
A.0.75
B.1.33
C.0.60
D.0.80
Explanation: By the Pythagorean theorem, the hypotenuse is √(6² + 8²) = √(36 + 64) = √100 = 10 meters. Therefore, cos(θ) = adjacent / hypotenuse = 8 / 10 = 0.80.
3Two naval patrol vessels depart from point O. Vessel A travels vector u = (3, 4) nautical miles and Vessel B travels vector v = (4, -3) nautical miles. What is the dot product u · v?
A.-1
B.0
C.25
D.7
Explanation: The dot product is calculated as u · v = (3 × 4) + (4 × (-3)) = 12 - 12 = 0. This also indicates that the trajectories of the two vessels are perpendicular.
4What is the domain of the real-valued function f(x) = √(2x - 10)?
A.x ≥ 5
B.x > 5
C.x ≤ 5
D.All real numbers
Explanation: For the square root function to yield a real value, the radicand must be non-negative: 2x - 10 ≥ 0, which simplifies to 2x ≥ 10 and x ≥ 5.
5In an arithmetic progression (AP), the first term a₁ = 4 and the common difference d = 3. What is the 15th term (a₁₅)?
A.49
B.45
C.42
D.46
Explanation: The n-th term of an AP is given by a_n = a₁ + (n - 1)d. Here, a₁₅ = 4 + (15 - 1) × 3 = 4 + 14 × 3 = 4 + 42 = 46.
6What is the derivative of the function f(x) = 3x⁴ - 5x² + 7x - 9 with respect to x?
A.3x³ - 10x + 7
B.12x⁴ - 10x² + 7x
C.12x³ - 10x + 7
D.12x³ - 5x + 7
Explanation: Applying the power rule d/dx(x^n) = n·x^(n-1): d/dx(3x⁴) = 12x³, d/dx(-5x²) = -10x, d/dx(7x) = 7, and the constant -9 differentiates to 0, yielding 12x³ - 10x + 7.
7Evaluate the trigonometric expression: sin²(35°) + cos²(35°) + tan(45°).
A.1.5
B.2
C.1
D.0
Explanation: By the fundamental Pythagorean trigonometric identity, sin²(θ) + cos²(θ) = 1 for any angle θ. Since tan(45°) = 1, the sum is 1 + 1 = 2.
8Solve the logarithmic equation log₂(x) + log₂(x - 2) = 3.
A.x = 4
B.x = -2
C.x = 4 and x = -2
D.x = 8
Explanation: Using logarithm product rule: log₂(x(x - 2)) = 3. Converting to exponential form: x(x - 2) = 2³ = 8, giving x² - 2x - 8 = 0. Factoring gives (x - 4)(x + 2) = 0. Because log₂(x) is defined only for x > 0, the negative root x = -2 is extraneous, leaving x = 4.
9What is the distance between point A(2, -3) and point B(6, 0) in a Cartesian plane representing a maritime chart grid?
A.7 units
B.√7 units
C.25 units
D.5 units
Explanation: The distance formula is d = √((x₂ - x₁)² + (y₂ - y₁)²). Here d = √((6 - 2)² + (0 - (-3))²) = √(4² + 3²) = √(16 + 9) = √25 = 5 units.
10Evaluate the limit: lim (x → 3) [ (x² - 9) / (x - 3) ].
A.Undefined (division by zero)
B.6
C.3
D.0
Explanation: Factoring the numerator gives (x - 3)(x + 3). For x ≠ 3, the term (x - 3) cancels: (x + 3). Evaluating at x = 3 yields 3 + 3 = 6.

About the Angola Naval Academy Entrance Exam Exam

The Concurso de Admissão à Academia Naval is the competitive entrance examination for training officer cadets in the Angolan Navy (Marinha de Guerra Angolana), assessing mathematics, physics, Portuguese, and nautical reasoning.

Assessment

The Concurso de Admissão à Academia Naval selects future career naval officers for the Marinha de Guerra Angolana (MGA). Candidates must pass physical fitness tests, rigorous naval medical screening, and written academic examinations in Mathematics, Physics, and Portuguese Language. Successful candidates enter the multi-year Naval Officer Cadet degree program.

Time Limit

90 to 120 minutes per written subject test

Passing Score

Competitive ranking within official quotas on the 0-20 scale; application requires a secondary-school certificate average of at least 13/20 (2026/2027 special recruitment)

Exam Fee

No official fee charged for military recruitment applications via DRM or active service circulars (Academia Naval / Marinha de Guerra Angolana (MGA) / EMGFAA)

Angola Naval Academy Entrance Exam Exam Content Outline

not-published

Matemática

Secondary mathematics: algebra, trigonometry, coordinate geometry, functions, progressions, and introductory calculus

not-published

Física

Mechanics, kinematics, dynamics, hydrostatics, fluid pressure, buoyancy, thermodynamics, and electromagnetism

not-published

Língua Portuguesa

Textual analysis, syntax, grammatical agreement, vocabulary, and communication clarity

not-published

Fundamentos Náuticos e Cultura Militar

Basic seamanship principles, coastal geography of Angola, naval terminology, and military discipline

How to Pass the Angola Naval Academy Entrance Exam Exam

What You Need to Know

  • Passing score: Competitive ranking within official quotas on the 0-20 scale; application requires a secondary-school certificate average of at least 13/20 (2026/2027 special recruitment)
  • Assessment: The Concurso de Admissão à Academia Naval selects future career naval officers for the Marinha de Guerra Angolana (MGA). Candidates must pass physical fitness tests, rigorous naval medical screening, and written academic examinations in Mathematics, Physics, and Portuguese Language. Successful candidates enter the multi-year Naval Officer Cadet degree program.
  • Time limit: 90 to 120 minutes per written subject test
  • Exam fee: No official fee charged for military recruitment applications via DRM or active service circulars

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Angola Naval Academy Entrance Exam Study Tips from Top Performers

1Review high school physics thoroughly, focusing on kinematics, Newton's laws, Archimedes' principle, and fluid statics
2Practice algebra, trigonometric identities, vector operations, and function analysis without a calculator
3Strengthen Portuguese grammar rules, text interpretation, and technical vocabulary
4Understand the key geographic features of Angola's maritime exclusive economic zone (EEZ) and coastline
5Maintain a regular physical conditioning routine alongside academic study to prepare for the physical fitness tests

Frequently Asked Questions

What is the Concurso de Admissão à Academia Naval?

It is the official competitive selection examination for admission into the Angolan Naval Academy (Academia Naval da Marinha de Guerra Angolana), training officers for the naval branch of the Angolan Armed Forces (FAA).

What subjects are tested on the academic entrance exam?

Candidates are tested on secondary-school level Mathematics, Physics (with emphasis on mechanics and hydrostatics), and Portuguese Language comprehension and grammar.

Who is eligible to apply for the Angolan Naval Academy?

Angolan citizens who have completed the 12ª Classe in sciences or technical streams, meet the physical and height requirements, pass military medical fitness evaluations, and fall within the applicable age bracket (typically up to 21 for civilians, up to 25 for active military).

Is this practice bank an official test simulation?

No. The official examination is administered in Portuguese by the Marinha de Guerra Angolana. This bank is an English-language study adaptation to help candidates master the core mathematics, physics, nautical science, and reasoning principles required for admission.