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Key Facts: UEM Admissão Exam

40 questions

Per subject paper, five options each

UEM Edital de Admissão 2026

3 h / 1 h 30

Integrated / non-integrated exam time

UEM Edital de Admissão 2026

900 / 450 MT

Integrated / non-integrated exam fee

UEM Edital de Admissão 2026

6–9 Jan 2026

2026 exam dates

UEM Edital de Admissão 2026

Ranked

Admission by score within vacancies

UEM Edital de Admissão 2026

UEM's admission exams are run by its Departamento de Admissão à Universidade: 40 five-option questions per subject, taken as integrated (two subjects, 3 hours) or non-integrated (one subject, 1 hour 30 minutes) exams. Places go to the best scores within each course's vacancies. This independent English bank covers 12ª classe content.

Sample UEM Admissão Practice Questions

Try these sample questions to review concepts for the UEM Admissão exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate lim (x→0) sin(5x)/(2x).
A.2/5
B.5/2
C.0
D.1
Explanation: Rewrite the expression as [sin(5x)/(5x)] × (5/2). Since lim (u→0) sin u / u = 1, the limit is 1 × 5/2 = 5/2.
2What is the derivative of f(x) = (2x − 1)/(x + 3), for x ≠ −3?
A.(2x + 5)/(x + 3)²
B.5/(x + 3)²
C.2
D.7/(x + 3)²
Explanation: Quotient rule: f'(x) = [2(x + 3) − (2x − 1)(1)]/(x + 3)² = (2x + 6 − 2x + 1)/(x + 3)² = 7/(x + 3)².
3Solve log₃(x + 2) + log₃(x − 4) = 3 in ℝ.
A.x = 7 and x = −5
B.x = 7
C.x = 5
D.x = 9
Explanation: log₃[(x + 2)(x − 4)] = 3 gives x² − 2x − 8 = 27, so x² − 2x − 35 = 0 and (x − 7)(x + 5) = 0. The logarithms require x > 4, so only x = 7 is valid.
4A box holds 5 red, 4 blue and 3 green balls. Two balls are drawn at random without replacement. What is the probability that they are the same colour?
A.25/144
B.1/6
C.19/66
D.1/3
Explanation: Total pairs: C(12, 2) = 66. Same-colour pairs: C(5, 2) + C(4, 2) + C(3, 2) = 10 + 6 + 3 = 19. Probability = 19/66.
5What are the coordinates of the local minimum of f(x) = x³ − 3x² − 9x + 5?
A.(−1, 10)
B.(1, −6)
C.(0, 5)
D.(3, −22)
Explanation: f'(x) = 3x² − 6x − 9 = 3(x − 3)(x + 1), so the critical points are x = 3 and x = −1. f''(x) = 6x − 6 is positive at x = 3, so there is a minimum there: f(3) = 27 − 27 − 27 + 5 = −22.
6What is the sum of all two-digit natural numbers that are multiples of 4 (12, 16, 20, …, 96)?
A.1200
B.1080
C.1296
D.1188
Explanation: This is an arithmetic progression with a₁ = 12, d = 4 and aₙ = 96. From 96 = 12 + (n − 1)·4 we get n = 22. S = 22 × (12 + 96)/2 = 11 × 108 = 1188.
7If tan α = 3/4 and α is in the third quadrant (π < α < 3π/2), what is cos α?
A.4/5
B.−4/5
C.−3/5
D.3/5
Explanation: A right triangle with legs 3 and 4 has hypotenuse 5, so |cos α| = 4/5. In the third quadrant both sine and cosine are negative, so cos α = −4/5.
8What is the domain of f(x) = ln[(x − 2)/(5 − x)]?
A.[2, 5]
B.]−∞, 2[ ∪ ]5, +∞[
C.]5, +∞[
D.]2, 5[
Explanation: The argument of the logarithm must be strictly positive: (x − 2)/(5 − x) > 0. The quotient is positive only between the roots, for 2 < x < 5. The endpoints are excluded (ln 0 is undefined and x = 5 makes the denominator zero).
9Six different machines are placed in a row on an assembly line. If two particular machines must always be next to each other, how many arrangements are possible?
A.240
B.720
C.120
D.48
Explanation: Treat the two machines as one block: 5 units can be arranged in 5! = 120 ways, and the two machines inside the block in 2! = 2 ways. Total = 120 × 2 = 240.
10What is the coefficient of x³ in the expansion of (2x − 1)⁵?
A.−80
B.40
C.80
D.10
Explanation: General term: C(5, k)(2x)^(5−k)(−1)^k. For x³, k = 2: C(5, 2) × 2³ × (−1)² = 10 × 8 × 1 = 80.

About the UEM Admissão Exam

Independent UEM admission practice by OpenExamPrep for Universidade Eduardo Mondlane's entrance exams. Questions cover 12ª classe mathematics, physics, chemistry, biology and humanities. The official papers are in Portuguese with five options; this bank is an English-language MCQ study adaptation, not an official translation or a simulation of the exam format.

Exam sponsor: Departamento de Admissão à Universidade (DAU), UEM. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Each course names the subjects it requires. Candidates sit them as an integrated exam (two subjects in one sitting) or as non-integrated single-subject exams, all multiple choice on an optical answer sheet.

Time Limit

3 h (integrated) / 1 h 30 min (non-integrated)

Passing Score

Competitive ranking within course vacancies

Exam / Certification Fees

900 MT (integrated) / 450 MT (non-integrated)

Exam sponsor website

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

Official sources

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.

25% of this bank

Matemática

Functions, inequalities, logarithms, trigonometry, combinatorics, probability, progressions, limits and derivatives.

25% of this bank

Física e Química

Modern physics, fluids, thermodynamics and oscillations; stoichiometry, equilibrium, acids and bases, redox and organic chemistry.

25% of this bank

Biologia

Cells, genetics, evolution, diversity of living things, human physiology, ecology and public health.

25% of this bank

Português, História, Geografia e Filosofia

Grammar and text analysis, Mozambican literature and history, the geography of Mozambique, and philosophy.

Preparing for the UEM Admissão Exam

What You Need to Know

  • Passing score: Competitive ranking within course vacancies
  • Assessment: Each course names the subjects it requires. Candidates sit them as an integrated exam (two subjects in one sitting) or as non-integrated single-subject exams, all multiple choice on an optical answer sheet.
  • Time limit: 3 h (integrated) / 1 h 30 min (non-integrated)
  • Exam / certification fees: 900 MT (integrated) / 450 MT (non-integrated) Official sources

Using Our Practice Resources

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

UEM Admissão: Suggested Study Strategy

1Check the admissions edital for the exact subjects your chosen course requires.
2Pace yourself at about 2 minutes 15 seconds per question on a 40-question, 90-minute paper.
3Practise past UEM papers in Portuguese to get used to five-option questions.
4Revise 12ª classe limits, derivatives and progressions, which appear often in the mathematics papers.
5Use this English bank to check concepts, then restate each answer in Portuguese.

Frequently Asked Questions

What is the format of the UEM admission exam?

Each subject paper has 40 multiple-choice questions with five options, marked on an optical answer sheet. Depending on the course, candidates sit an integrated exam (two subjects in 3 hours) or non-integrated exams (one subject in 1 hour 30 minutes).

How much does it cost?

Under the Edital 2026, each integrated exam costs 900 MT and each non-integrated exam 450 MT. Pre-registration for the 2026 intake ran on prereg.uem.mz from 10 October to 5 December 2025.

How are candidates selected?

Candidates are ranked by their exam results and admitted in order until each course's vacancies are filled. The edital breaks ties in favour of the younger candidate and then of female candidates.

When and where is the exam held?

The 2026 exams took place from 6 to 9 January 2026 in a single sitting, with centres in every province. The Edital 2027 had not yet been published when this page was checked.

Is this an official UEM exam or translation?

No. This is an independent English-language multiple-choice study adaptation by OpenExamPrep. It is not endorsed by UEM, uses four options instead of five, and is not an official translation, so also practise with past Portuguese papers.