100+ Free UNILU Admission Test Practice Questions

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2026 Statistics

Key Facts: UNILU Admission Test Exam

USD 40

Pre-registration fee stated in UNILU's 2025-2026 registration procedure

UNILU Service des Inscriptions

2 Tours

Centrally organized testing rounds per academic intake

Université de Lubumbashi

10,000+

Candidates sitting the first tour on 5 October 2025

Agence Congolaise de Presse (ACP)

17+ Faculties

Faculties, schools, and institutes evaluated via the single central test

UNILU Academic Administration

Free 100-question practice test for the Université de Lubumbashi (UNILU) Test d'Admission in DR Congo. Covers secondary mathematics, physics, chemistry, biology, French, English, history, geography, and computing.

Sample UNILU Admission Test Practice Questions

Try these sample questions to test your UNILU Admission Test 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 for real values of x: 2x² − 7x + 3 = 0.

A.x = 1/2 or x = 3

B.x = −1/2 or x = −3

C.x = 1 or x = 6

D.x = 2 or x = 3/2

Explanation: Using the quadratic formula x = (−b ± √(b² − 4ac)) / (2a), with a = 2, b = −7, and c = 3: the discriminant is Δ = (−7)² − 4(2)(3) = 49 − 24 = 25. Thus, x = (7 ± √25) / 4 = (7 ± 5) / 4. This yields x₁ = 12/4 = 3 and x₂ = 2/4 = 1/2.

2Solve for x in the logarithmic equation: log₂(x + 3) + log₂(x − 3) = 4, where x > 3.

A.x = 4

B.x = 5

C.x = 7

D.x = √19

Explanation: Combine the logarithms using the product property log₂(A) + log₂(B) = log₂(A · B): log₂((x + 3)(x − 3)) = 4. Expanding yields log₂(x² − 9) = 4. Converting to exponential form gives x² − 9 = 2⁴ = 16, so x² = 25. Since x > 3 is required by the domain of the logarithms, x = 5.

3If sin(θ) = 3/5 and θ is in the first quadrant (0 < θ < π/2), what is the value of cos(2θ)?

A.7/25

B.24/25

C.1/5

D.4/5

Explanation: Use the double-angle formula for cosine: cos(2θ) = 1 − 2sin²(θ). Substituting sin(θ) = 3/5 gives cos(2θ) = 1 − 2(3/5)² = 1 − 2(9/25) = 1 − 18/25 = 7/25.

4According to the polynomial remainder theorem, what is the remainder when P(x) = 2x³ − 5x² + 4x − 7 is divided by (x − 2)?

A.−3

B.−1

C.3

D.1

Explanation: The polynomial remainder theorem states that dividing a polynomial P(x) by (x − c) yields the remainder R = P(c). Evaluating P(2): P(2) = 2(2)³ − 5(2)² + 4(2) − 7 = 2(8) − 5(4) + 8 − 7 = 16 − 20 + 8 − 7 = −3.

5What is the slope of the tangent line to the curve f(x) = 3x² − 5x + 2 at the point where x = 2?

A.7

B.4

C.12

D.9

Explanation: The slope of the tangent line is given by the derivative f'(x). Differentiating f(x) = 3x² − 5x + 2 gives f'(x) = 6x − 5. Evaluating at x = 2: f'(2) = 6(2) − 5 = 12 − 5 = 7.

6Calculate the definite integral: ∫₀² (3x² − 2x + 1) dx.

A.6

B.4

C.8

D.10

Explanation: Find the antiderivative F(x): ∫ (3x² − 2x + 1) dx = x³ − x² + x. Evaluate from 0 to 2: F(2) = (2)³ − (2)² + 2 = 8 − 4 + 2 = 6, and F(0) = 0. Thus, the definite integral equals 6 − 0 = 6.

7In an arithmetic progression, the first term is a₁ = 5 and the common difference is d = 3. What is the sum of the first 20 terms (S₂₀)?

A.670

B.640

C.700

D.610

Explanation: The sum of the first n terms of an arithmetic progression is given by Sₙ = (n/2)[2a₁ + (n − 1)d]. For n = 20, a₁ = 5, and d = 3: S₂₀ = (20/2)[2(5) + (20 − 1)(3)] = 10[10 + 19(3)] = 10[10 + 57] = 10[67] = 670.

8Determine the sum to infinity of the geometric sequence: 12, 4, 4/3, 4/9, ...

A.18

B.16

C.24

D.15

Explanation: The first term is a = 12 and the common ratio is r = 4/12 = 1/3. Since |r| < 1, the sum to infinity is S_∞ = a / (1 − r) = 12 / (1 − 1/3) = 12 / (2/3) = 12 · (3/2) = 18.

9A box contains 5 red balls, 4 blue balls, and 3 green balls. Two balls are drawn sequentially without replacement. What is the probability that both balls drawn are red?

A.5/33

B.25/144

C.5/36

D.1/6

Explanation: The total number of balls is 5 + 4 + 3 = 12. The probability that the first ball is red is 5/12. Since drawing is without replacement, 11 balls remain with 4 red balls. The probability that the second ball is red is 4/11. The combined probability is (5/12) · (4/11) = 20/132 = 5/33.

10Given the 2×2 matrix A = [[3, 4], [2, 5]], what is the determinant of A, and is the matrix invertible?

A.det(A) = 7; invertible

B.det(A) = 23; invertible

C.det(A) = 0; singular

D.det(A) = −7; invertible

Explanation: The determinant of a 2×2 matrix [[a, b], [c, d]] is det(A) = ad − bc. Here, det(A) = (3)(5) − (4)(2) = 15 − 8 = 7. Because det(A) ≠ 0, the matrix A is invertible (non-singular).

About the UNILU Admission Test Exam

The Université de Lubumbashi (UNILU) Test d'Admission (also referred to as the Test d'Orientation et d'Admission) is the centralized entrance and orientation examination for prospective undergraduate students entering first-year university studies (L1 / Bac 1) at UNILU in Lubumbashi, Haut-Katanga, DR Congo. Organized centrally by the university's Service des inscriptions, the test is mandatory for all secondary school leavers holding the Diplôme d'État (EXETAT) with an overall score below 60%, as well as for all applicants to the Faculté de Médecine and Faculté d'Architecture regardless of their EXETAT score; UNILU's orientation page extends the same all-candidates rule to the exact-sciences faculties and schools (Polytechnique, ESI, Agronomie, Sciences). Candidates are evaluated on core secondary-school subjects spanning mathematics, chemistry, physics, biology, French, English, history, geography, and basic computing. This English-language MCQ practice bank is a study adaptation covering all nine assessed subject domains; it is not an official translation and does not reproduce the official French paper format, which UNILU does not publish.

Assessment

Administered centrally in two independent tours (premier tour and deuxième tour) per annual admission cycle. Venues are grouped into three site pools: Facultés des sciences exactes et appliquées, Facultés des sciences humaines, and Facultés des sciences du vivant. Candidates sit the paper on a single scheduled date; scores determine admission and faculty orientation across 17+ faculties and schools.

Time Limit

Single-day sitting per tour on centrally scheduled examination dates announced by UNILU

Passing Score

No overall pass mark published — admission is decided by ranking per filière against available places; UNILU's orientation page sets a 60% test threshold for the exact-sciences faculties, below which candidates are placed in the preparatory Pré-U year

Exam Fee

USD 40 pre-registration fee in the 2025-2026 registration procedure; earlier UNILU notices set USD 40 below 60% at the Examen d'État and USD 30 at 60% or above (Université de Lubumbashi (UNILU) — Service des inscriptions)

UNILU Admission Test Exam Content Outline

Study emphasis ~15%

Secondary Mathematics

Algebraic operations, linear and quadratic equations, polynomial functions, trigonometry, geometry, calculus fundamentals, and descriptive statistics.

Study emphasis ~12%

General Physics

Newtonian mechanics, kinematics, work and power, electrostatics, simple DC circuits, geometrical optics, and thermal physics.

Study emphasis ~12%

General & Organic Chemistry

Atomic structure, periodic trends, stoichiometry, chemical bonding, acids and bases, oxidation-reduction, and basic functional groups.

Study emphasis ~12%

Biological Sciences

Cell structure and function, Mendelian genetics, human organ systems, plant biology, ecology, and microbiological principles.

Study emphasis ~12%

French Language & Reasoning

Grammar, verb conjugation, lexical knowledge, syntax, error identification, reading comprehension, and logical inference.

Study emphasis ~12%

English Language & Grammar

Verb tenses, prepositions, reading comprehension passages, vocabulary in context, and sentence completion.

Study emphasis ~9%

History (Congolese & World)

Pre-colonial African kingdoms, Congo Free State, Belgian Congo, DR Congo independence, post-independence republics, and key world events.

Study emphasis ~8%

Geography (DR Congo & World)

Hydrography (Congo River basin), mining provinces (Katanga Copperbelt), climate zones, vegetation, and world physical geography.

Study emphasis ~8%

Computing Fundamentals

Computer architecture, operating systems, office productivity applications, computer networks, binary representation, and information security basics.

How to Pass the UNILU Admission Test Exam

What You Need to Know

Passing score: No overall pass mark published — admission is decided by ranking per filière against available places; UNILU's orientation page sets a 60% test threshold for the exact-sciences faculties, below which candidates are placed in the preparatory Pré-U year
Assessment: Administered centrally in two independent tours (premier tour and deuxième tour) per annual admission cycle. Venues are grouped into three site pools: Facultés des sciences exactes et appliquées, Facultés des sciences humaines, and Facultés des sciences du vivant. Candidates sit the paper on a single scheduled date; scores determine admission and faculty orientation across 17+ faculties and schools.
Time limit: Single-day sitting per tour on centrally scheduled examination dates announced by UNILU
Exam fee: USD 40 pre-registration fee in the 2025-2026 registration procedure; earlier UNILU notices set USD 40 below 60% at the Examen d'État and USD 30 at 60% or above

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

UNILU Admission Test Study Tips from Top Performers

1Review core secondary mathematics, focusing on quadratic equations, functions, logarithms, trigonometry, and basic differential calculus.

2Consolidate fundamental physics and chemistry formulas, including Newton's second law, electric circuits (Ohm's law), stoichiometry, and acid-base neutralization.

3Brush up on DR Congo history and geography, particularly key milestones since 1960, the Congo River drainage basin, and the economic geography of Haut-Katanga.

4Practice reading comprehension and grammar exercises in both French and English to ensure high performance on the language sections.

5Review basic computing concepts, including binary conversions, hardware components, operating system roles, and networking fundamentals.

Frequently Asked Questions

What is the UNILU Test d'Admission (Test d'Orientation et d'Admission)?

It is the centralized entrance and orientation examination organized by the Service des inscriptions of the Université de Lubumbashi (UNILU) in DR Congo. It serves to assess academic aptitude and determine admission or reorientation for candidates entering undergraduate studies across UNILU faculties.

Who is required to sit the UNILU Test d'Admission?

All applicants holding the Diplôme d'État (EXETAT) with a score below 60% must sit the test, and UNILU's registration communiqués add that every applicant to the Faculté de Médecine and the Faculté d'Architecture must take it regardless of their EXETAT score. UNILU's orientation page also requires all candidates for the exact-sciences faculties and schools — Polytechnique, ESI, Agronomie and Sciences — to sit the test whatever their percentage. Candidates at 60% or higher applying to other faculties are exempt. Requirements are restated in each year's admission notice, so check the current communiqué.

What subjects are tested on the UNILU entrance test?

The examination tests secondary-level curriculum subjects: Mathematics, Physics, Chemistry, Biology, French, English, History, Geography, and Computing Fundamentals.

What is the official language and format of the examination?

The official test is a written paper set and sat in French; UNILU publishes no past papers, item count or paper structure. This practice bank is an independent English-language MCQ study adaptation of the announced subject syllabus. It is not an official translation, it does not reproduce the official paper format, and it is not published or endorsed by UNILU — it is a study aid for reviewing the same secondary-level content in English.

What are the registration fees for the UNILU admission test?

UNILU's 2025-2026 registration procedure gives a pre-registration fee of USD 40, payable at RawBank or Access Bank. Earlier UNILU registration notices set the fee at USD 40 for candidates with less than 60% on the Examen d'État and USD 30 for those scoring 60% or above. Fees are restated each cycle, so confirm the amount in the current admission notice before paying.