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96+ Free USFX Direct Admission Exam Practice Questions

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2026 Statistics

Key Facts: USFX Direct Admission Exam Exam

Bs 350

2026 Direct Exam Fee

USFX January 26, 2026 announcement

6,133

2026 Applicants

USFX January 29, 2026 announcement

Program-dependent

General + Specific Scope

USFX January 29, 2026 announcement

USFX administered the current direct admission exam on January 30, 2026. Applicants compete by score for program-specific places, and the general/specific subject mix depends on the selected area. Official content pages publish Mathematics, Language/Literature, Physics, Chemistry, Biology, Social Sciences, and Philosophy materials, while the reviewed 2026 notice publishes no universal weights, count, duration, or pass mark.

Sample USFX Direct Admission Exam Practice Questions

Try these sample questions to test your USFX Direct Admission Exam exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 96+ question experience with AI tutoring.

1Simplify the algebraic rational expression: E = (x^2 - 9) / (x^2 + 5x + 6) for x ≠ -2, -3.
A.(x - 3) / (x + 2)
B.(x + 3) / (x + 2)
C.(x - 3) / (x + 3)
D.(x + 2) / (x - 3)
Explanation: Factoring the numerator as a difference of squares: x^2 - 9 = (x - 3)(x + 3). Factoring the quadratic denominator: x^2 + 5x + 6 = (x + 2)(x + 3). Cancelling the common factor (x + 3) gives E = (x - 3) / (x + 2).
2Solve for x in the exponential equation: 3^(2x - 1) = 81.
A.x = 2
B.x = 5/2
C.x = 3
D.x = 4
Explanation: Rewrite 81 as a power of 3: 81 = 3^4. Equating exponents: 2x - 1 = 4 -> 2x = 5 -> x = 5/2 = 2.5.
3What are the roots of the quadratic equation: 2x^2 - 7x + 3 = 0?
A.x = 1 and x = 6
B.x = -3 and x = -1/2
C.x = 3 and x = 1/2
D.x = 2 and x = 3/2
Explanation: Factoring by grouping: 2x^2 - 6x - x + 3 = 2x(x - 3) - 1(x - 3) = (2x - 1)(x - 3) = 0. Thus, x = 1/2 or x = 3.
4What is the exact value of the logarithmic expression: log_2(64) + log_3(1/27) - log_5(1)?
A.6
B.9
C.4
D.3
Explanation: log_2(64) = log_2(2^6) = 6. log_3(1/27) = log_3(3^(-3)) = -3. log_5(1) = 0. Therefore: 6 + (-3) - 0 = 3.
5In a right triangle, the length of the hypotenuse is 10 cm and the angle θ satisfies sin(θ) = 3/5. What is the length of the adjacent leg to angle θ?
A.8 cm
B.6 cm
C.7 cm
D.9 cm
Explanation: Using cos^2(θ) = 1 - sin^2(θ) = 1 - 9/25 = 16/25 -> cos(θ) = 4/5. The adjacent leg length is L_adj = Hypotenuse * cos(θ) = 10 * (4/5) = 8 cm.
6Find the sum of the first 20 terms of the arithmetic progression: 3, 7, 11, 15, ...
A.800
B.820
C.780
D.840
Explanation: Here a_1 = 3, common difference d = 4, n = 20. The 20th term is a_20 = a_1 + (n - 1)d = 3 + 19(4) = 3 + 76 = 79. The sum is S_20 = n(a_1 + a_20)/2 = 20(3 + 79)/2 = 10 * 82 = 820.
7What is the equation of the line passing through points A(2, 3) and B(6, 11)?
A.y = 3x - 3
B.y = 4x - 5
C.y = 2x - 1
D.y = 2x + 1
Explanation: Slope m = (y2 - y1)/(x2 - x1) = (11 - 3)/(6 - 2) = 8 / 4 = 2. Using point-slope form with A(2,3): y - 3 = 2(x - 2) -> y = 2x - 4 + 3 -> y = 2x - 1.
8What is the radius r and center C(h, k) of the circle given by x^2 + y^2 - 6x + 8y = 0?
A.C(-3, 4); r = 25
B.C(-3, 4); r = 5
C.C(6, -8); r = 10
D.C(3, -4); r = 5
Explanation: Completing the squares: (x^2 - 6x + 9) + (y^2 + 8y + 16) = 9 + 16 -> (x - 3)^2 + (y + 4)^2 = 25 = 5^2. Center C(3, -4), radius r = 5.
9Solve the system of linear equations: 3x + 2y = 16 and 2x - y = 6. What is the value of the product x * y?
A.8
B.12
C.6
D.10
Explanation: From eq 2: y = 2x - 6. Substitute into eq 1: 3x + 2(2x - 6) = 16 -> 3x + 4x - 12 = 16 -> 7x = 28 -> x = 4. Then y = 2(4) - 6 = 2. Product x * y = 4 * 2 = 8.
10If tan(α) = 3/4 with α in the first quadrant, what is the exact value of sin(2α)?
A.12/25
B.24/25
C.7/25
D.18/25
Explanation: For tan(α) = 3/4, opposite = 3, adjacent = 4, hypotenuse = 5. Thus sin(α) = 3/5, cos(α) = 4/5. Using double angle: sin(2α) = 2 sin(α) cos(α) = 2 * (3/5) * (4/5) = 24/25.

About the USFX Direct Admission Exam Exam

USFX's 2026 Examen de Admisión Directo combines general knowledge with subject material specific to the applicant's selected study area. This broad bank samples official portal subjects but is an independent English-language MCQ study adaptation, not a universal program blueprint, not an official translation, and not a simulation of the unpublished 2026 item format. Preserve and practice the Spanish terminology and instructions in official materials.

Assessment

Direct knowledge examination with general and specific tests determined by the applicant's selected study area. The reviewed 2026 notice does not publish item type, count, duration, or any oral, practical, assignment, or case-study component.

Time Limit

Not published in the reviewed official 2026 notice

Passing Score

Highest-score selection within the places available for each program; no universal threshold published in the reviewed 2026 notice

Exam Fee

Bs 350; Bs 175 for applicants who completed the pre-university course (Vicerrectorado and Dirección de Planificación Académica — USFX)

USFX Direct Admission Exam Exam Content Outline

Program-dependent

Matemáticas

Algebra, functions, trigonometry, and geometry

Program-dependent

Lenguaje y Literatura

Spanish grammar, orthography, vocabulary, reading, and literature

Program-dependent

Física

Mechanics, waves, electricity, fluids, and thermal concepts

Program-dependent

Química

Atomic structure, bonding, reactions, stoichiometry, and solutions

Program-dependent

Biología

Cell biology, genetics, physiology, botany, and ecology

Program-dependent

Ciencias Sociales

Bolivian history, geography, civics, and society

How to Pass the USFX Direct Admission Exam Exam

What You Need to Know

  • Passing score: Highest-score selection within the places available for each program; no universal threshold published in the reviewed 2026 notice
  • Assessment: Direct knowledge examination with general and specific tests determined by the applicant's selected study area. The reviewed 2026 notice does not publish item type, count, duration, or any oral, practical, assignment, or case-study component.
  • Time limit: Not published in the reviewed official 2026 notice
  • Exam fee: Bs 350; Bs 175 for applicants who completed the pre-university course

Keys to Passing

  • Work through all 96 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

USFX Direct Admission Exam Study Tips from Top Performers

1Choose the official content materials that match the target program area.
2Use the official question bank portal to learn Spanish terminology and source emphasis.
3Practice quantitative problems with units and full intermediate steps.
4Do not infer the official test length from this 100-question study bank.

Frequently Asked Questions

What did USFX call the 2026 assessment?

Current official announcements call it the Examen de Admisión Directo. The retained internal ID remains stable, but the metadata uses the official name.

Is there one subject distribution for every program?

No. USFX states that the examination includes general and specific knowledge according to the applicant's selected study area. No universal percentage distribution is published in the reviewed 2026 notice.

Is this the official Spanish test?

No. This is an independent English-language MCQ study adaptation. Official source materials reviewed are in Spanish, but the current notice does not state a formal language-options policy or item type.