Free Practice Questions for Mozambique Military Academy (AMMSM) Entrance Exam

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Key Facts: Mozambique Military Academy (AMMSM) Entrance Exam Exam

200

Places in the 2027 admission concurso

Edital do Concurso de Admissão 2027, Academia Militar

1,500 MT

Application fee (1,100 MT + 400 MT)

Edital do Concurso de Admissão 2027, Academia Militar

2 hours

Length of each written paper

Edital do Concurso de Admissão 2027, Academia Militar

0–20

Written exam scale (to one decimal place)

Regulamento do Concurso de Admissão 2027, Academia Militar

19–22

Age range for civilian candidates (under 26 for serving military)

Regulamento do Concurso de Admissão 2027, Academia Militar

17–18 Aug 2026

Written exam dates for the 2027 intake

Edital do Concurso de Admissão 2027, Academia Militar

Independent AMMSM entrance practice by OpenExamPrep. For the 2027 intake the Academia Militar offers 200 places; candidates pay 1,500 MT and must be 19–22 (civilians) with the 12ª Classe. They pass physical tests and then sit two 2-hour written papers, Português, Matemática, Física or História depending on the course group, each marked 0–20. These English-language MCQs help you study the written subjects; they are not an official translation or format simulation.

Sample Mozambique Military Academy (AMMSM) Entrance Exam Practice Questions

Try these sample questions to review concepts for the Mozambique Military Academy (AMMSM) Entrance Exam exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve the quadratic equation for x: 2x² - 5x - 3 = 0.

A.x = -3 or x = 1/2

B.x = 3 or x = -1/2

C.x = 2 or x = -3/2

D.x = 5 or x = -1

Explanation: Applying the quadratic formula with a = 2, b = -5, and c = -3: the discriminant is Δ = (-5)² - 4(2)(-3) = 25 + 24 = 49. The roots are x = [-(-5) ± √49] / [2(2)] = (5 ± 7) / 4, yielding x₁ = 12/4 = 3 and x₂ = -2/4 = -1/2.

2Solve the linear system of equations for (x, y): 2x + 3y = 13 and x - y = 4.

A.x = 5, y = 1

B.x = 4, y = 0

C.x = 6, y = 2

D.x = 7, y = 3

Explanation: From the second equation, express x in terms of y: x = y + 4. Substitute this into the first equation: 2(y + 4) + 3y = 13 → 2y + 8 + 3y = 13 → 5y = 5 → y = 1. Substituting y = 1 back gives x = 1 + 4 = 5. Checking the first equation: 2(5) + 3(1) = 10 + 3 = 13.

3Simplify the rational algebraic expression (x² - 16) / (2x - 8) for all real values of x ≠ 4.

A.x - 4

B.2(x + 4)

C.(x + 4) / 2

D.(x - 4) / 2

Explanation: Factor the numerator as a difference of squares: x² - 16 = (x - 4)(x + 4). Factor out the common numerical factor in the denominator: 2x - 8 = 2(x - 4). For x ≠ 4, cancel the non-zero common binomial factor (x - 4), leaving (x + 4) / 2.

4For which real value of k is the polynomial P(x) = x³ - 2x² + kx + 6 divisible by (x - 3)?

A.k = 5

B.k = -13

C.k = -15

D.k = -5

Explanation: By the Factor Theorem, (x - 3) divides P(x) exactly when P(3) = 0. P(3) = 27 - 18 + 3k + 6 = 15 + 3k, so 15 + 3k = 0 gives 3k = -15 and k = -5. Check: x³ - 2x² - 5x + 6 = (x - 3)(x² + x - 2).

5Find the real solution set for the irrational equation √(3x + 1) = x - 1.

A.x = 0 and x = 5

B.x = 5 only

C.x = 0 only

D.No real solutions exist

Explanation: Squaring both sides gives 3x + 1 = (x - 1)² → 3x + 1 = x² - 2x + 1 → x² - 5x = 0 → x(x - 5) = 0, giving candidate roots x = 0 and x = 5. Checking x = 0 in the original equation yields √(1) = -1, which is false since the principal square root is non-negative. Checking x = 5 yields √(16) = 4 and 5 - 1 = 4, which is true. Thus, x = 5 is the only valid solution.

6Determine the coordinates of the vertex V(x_v, y_v) of the parabola defined by f(x) = -x² + 6x - 5.

A.V(3, 4)

B.V(-3, -32)

C.V(3, -5)

D.V(6, -5)

Explanation: For a quadratic function f(x) = ax² + bx + c with a = -1, b = 6, and c = -5, the x-coordinate of the vertex is x_v = -b / (2a) = -6 / [2(-1)] = 3. Evaluating f(3) gives y_v = -(3)² + 6(3) - 5 = -9 + 18 - 5 = 4. Therefore, the vertex is at (3, 4).

7What is the domain D in real numbers R for the function f(x) = √(2x - 8) / (x - 6)?

A.[4, +∞)

B.(4, 6) ∪ (6, +∞)

C.[4, 6) ∪ (6, +∞)

D.(-∞, 4] ∪ (6, +∞)

Explanation: Two conditions must be satisfied: the radicand under the even square root must be non-negative (2x - 8 ≥ 0 → 2x ≥ 8 → x ≥ 4), and the denominator cannot be zero (x - 6 ≠ 0 → x ≠ 6). Combining these conditions gives x ∈ [4, 6) ∪ (6, +∞).

8Solve the exponential equation 2^(x + 1) = 1/8 for x.

A.x = -2

B.x = -4

C.x = 2

D.x = -3

Explanation: Write the right side as a power of 2: 1/8 = 2⁻³. With equal bases, the exponents must be equal: x + 1 = -3, so x = -4. Check: 2^(-4 + 1) = 2⁻³ = 1/8.

9Find the real solution set of the logarithmic equation log₃(x) + log₃(x - 6) = 3.

A.x = -3 and x = 9

B.x = 27

C.x = -3

D.x = 9

Explanation: The domain requires x > 0 and x - 6 > 0, so x > 6. By the product rule, log₃[x(x - 6)] = 3, so x(x - 6) = 3³ = 27, giving x² - 6x - 27 = 0 and (x - 9)(x + 3) = 0. Only x = 9 lies in the domain. Check: log₃(9) + log₃(3) = 2 + 1 = 3.

10Given that log₁₀(2) ≈ 0.301 and log₁₀(3) ≈ 0.477, what is the value of log₁₀(72)?

A.1.857

B.1.556

C.2.079

D.1.778

Explanation: Factor 72 into prime factors: 72 = 8 × 9 = 2³ × 3². Using logarithm properties: log₁₀(72) = log₁₀(2³ × 3²) = 3·log₁₀(2) + 2·log₁₀(3). Substituting the given approximations: 3(0.301) + 2(0.477) = 0.903 + 0.954 = 1.857.

About the Mozambique Military Academy (AMMSM) Entrance Exam Exam

Independent practice by OpenExamPrep for the written admission exams of the Academia Militar Marechal Samora Machel (AM) in Nampula, Mozambique's higher military academy for future FADM officers. The 2027 concurso offers 200 places. Each candidate takes two 2-hour written papers chosen by course group, from Português, Matemática, Física and História, after eliminatory medical and physical tests. The official papers are set in Portuguese and are mainly multiple-choice, with some worked problems or a short written text. This bank is an English-language MCQ study adaptation of that written content. It is not an official translation or a simulation of the papers, and it does not prepare you for the physical, medical, psychotechnical or military-aptitude stages.

Exam sponsor: Academia Militar Marechal Samora Machel, with the Centros Provinciais de Recrutamento e Mobilização (CPRM). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The Concurso de Admissão de Estudantes to the Academia Militar Marechal Samora Machel in Nampula selects cadets for licenciatura courses that train permanent-career officers for the Forças Armadas de Defesa de Moçambique (FADM). The 2027 intake offers 200 places in four groups. Group I: Infantaria, Reconhecimento das Tropas, Blindados and Fuzileiros Navais. Group II: Administração Militar. Group III: Educação Cívico-Patriótica. Group IV: Engenharia Militar, Engenharia Mecânica Naval, Engenharia Mecânica de Aviação, Navegação Marítima, the two Engenharia Electrotécnica Militar courses, Artilharia Terrestre and Piloto Aviador. In the first phase, at the provincial Centro Provincial de Recrutamento e Mobilização (CPRM), candidates pass a document check, preliminary medical exams and eliminatory physical tests. These are an 80 m sprint, one minute of sit-ups, pull-ups (men) or push-ups (women) and a 12-minute Cooper run (2,400 m for men, 2,100 m for women). They then sit the two written exams, scheduled for 17–18 August 2026. Candidates who are called forward then take medical and psychotechnical tests at the Academy (15–28 October 2026) and the Prova de Aptidão Militar (1 November 2026 to 31 January 2027), which ends with the oath to the flag. The written papers are set in Portuguese.

Time Limit

2 hours per written paper

Passing Score

Written exams are marked from 0 to 20 (to one decimal place). Candidates below a minimum set by despacho of the Academy's Commandant are eliminated; the rest are called forward by ranking against the places available, national representativeness and gender, with ties going to the younger candidate. The physical, medical, psychotechnical and military-aptitude stages are pass/eliminate.

Exam / Certification Fees

1,500 MT (1,100 MT to the Academia Militar plus 400 MT for the provincial CPRM)

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Edital e Regulamento do Concurso de Admissão de Estudantes 2027 (Academia Militar) · Source checked 2026-09-30Official notice and rules dated 4 June 2026: 200 places by course and subject group, fees, phases and dates, physical tests, eligibility, scoring and ranking.
Academia Militar Marechal Samora Machel · Source checked 2026-09-30Official website of the Academy in Nampula; also listed in the Edital as an online registration link.
Portal de Inscrição da Academia Militar · Source checked 2026-09-30Official online registration platform for the admission concurso.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

not-published

Português

Reading comprehension and vocabulary, funcionamento da língua (word classes, syntax, agreement, punctuation), Mozambican literature and short written production (Groups I, II and III)

not-published

Matemática

Algebra and polynomials, functions, exponentials and logarithms, trigonometry, progressions, combinatorics and probability, analytic geometry, limits and derivatives (Groups I, II and IV)

not-published

Física

Kinematics, dynamics, energy, statics and hydrostatics, thermodynamics, waves and optics, electricity and modern physics (Group IV)

not-published

História

Historiography and method, history of Mozambique, history of Africa, and general world history (Group III)

Preparing for the Mozambique Military Academy (AMMSM) Entrance Exam Exam

What You Need to Know

Passing score: Written exams are marked from 0 to 20 (to one decimal place). Candidates below a minimum set by despacho of the Academy's Commandant are eliminated; the rest are called forward by ranking against the places available, national representativeness and gender, with ties going to the younger candidate. The physical, medical, psychotechnical and military-aptitude stages are pass/eliminate.
Assessment: The Concurso de Admissão de Estudantes to the Academia Militar Marechal Samora Machel in Nampula selects cadets for licenciatura courses that train permanent-career officers for the Forças Armadas de Defesa de Moçambique (FADM). The 2027 intake offers 200 places in four groups. Group I: Infantaria, Reconhecimento das Tropas, Blindados and Fuzileiros Navais. Group II: Administração Militar. Group III: Educação Cívico-Patriótica. Group IV: Engenharia Militar, Engenharia Mecânica Naval, Engenharia Mecânica de Aviação, Navegação Marítima, the two Engenharia Electrotécnica Militar courses, Artilharia Terrestre and Piloto Aviador. In the first phase, at the provincial Centro Provincial de Recrutamento e Mobilização (CPRM), candidates pass a document check, preliminary medical exams and eliminatory physical tests. These are an 80 m sprint, one minute of sit-ups, pull-ups (men) or push-ups (women) and a 12-minute Cooper run (2,400 m for men, 2,100 m for women). They then sit the two written exams, scheduled for 17–18 August 2026. Candidates who are called forward then take medical and psychotechnical tests at the Academy (15–28 October 2026) and the Prova de Aptidão Militar (1 November 2026 to 31 January 2027), which ends with the oath to the flag. The written papers are set in Portuguese.
Time limit: 2 hours per written paper
Exam / certification fees: 1,500 MT (1,100 MT to the Academia Militar plus 400 MT for the provincial CPRM) Official sources

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Mozambique Military Academy (AMMSM) Entrance Exam: Suggested Study Strategy

1Check the Edital to confirm which two subjects your course group sits, and focus your study on those papers

2For Matemática, practise 12ª Classe topics without a calculator: logarithms, trigonometric equations, progressions, combinatorics, conics, limits and derivatives

3For Física, work numerical problems in mechanics, electricity, optics and modern physics, showing every step for the worked-problem part

4For Português, read short texts closely, review grammar and punctuation, learn the major Mozambican authors and practise writing a short structured text

5For História, cover historiography as well as Mozambican, African and world history, and keep a timeline of key dates

6Train for the eliminatory physical tests (80 m sprint, sit-ups, pull-ups or push-ups, 12-minute Cooper run) well before the August test window

Frequently Asked Questions

What is the Academia Militar Concurso de Admissão?

It is the annual competition for entry to the Academia Militar Marechal Samora Machel in Nampula, which trains officers for the permanent staff of the Forças Armadas de Defesa de Moçambique (FADM). The 2027 concurso offers 200 places across 14 courses.

Which written exams do AMMSM candidates take?

Each candidate takes two 2-hour papers set by course group. Groups I and II (combat arms such as Infantaria and Fuzileiros Navais, and Administração Militar) take Português and Matemática. Group III (Educação Cívico-Patriótica) takes Português and História. Group IV (the engineering courses, Navegação Marítima, Artilharia Terrestre and Piloto Aviador) takes Matemática and Física.

What are the eligibility requirements for AMMSM entry?

For the 2027 intake, candidates must be Mozambican citizens of origin, at least 19 on 31 January 2027, and, if civilian, not yet 23 on that date (26 for serving military). They need the 12ª Classe or equivalent with the required subjects, a height of at least 1.60 m, regular military-service status and no criminal record.

Is this practice bank an official AMMSM exam simulation?

No. The official papers are set in Portuguese by the Academia Militar and are mainly multiple-choice, with some worked problems or a short written text. This bank is an independent English-language MCQ study adaptation by OpenExamPrep. It helps you review the written subjects but is not an official translation or format simulation, and it does not cover the physical, medical or military-aptitude tests.