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81+ Free UAJMS FCEF PSA Practice Questions

Prepare for the UAJMS Facultad de Ciencias Económicas y Financieras Prueba de Suficiencia Académica exam with instant access — no signup required.

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2026 Statistics

Key Facts: UAJMS FCEF PSA Exam

51/100 each

Passing Threshold

UAJMS FCEF Modalidades de Admisión

Bs 700 / 800

National Exam Fee

UAJMS FCEF 2026 Convocatoria

2 Subjects

Matemáticas & Lenguaje

UAJMS FCEF Banco de Preguntas

Admission to undergraduate degree programmes at UAJMS Facultad de Ciencias Económicas y Financieras (Tarija) requires passing the in-person PSA in Matemáticas and Lenguaje with at least 51 points in each subject. Fees are Bs 700 for public school bachilleres, Bs 800 for private, and Bs 1,600 for foreign applicants. Use this English MCQ bank to master the official question bank topics.

Sample UAJMS FCEF PSA Practice Questions

Try these sample questions to test your UAJMS FCEF PSA exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 81+ question experience with AI tutoring.

1What is the complete factorization of the algebraic expression 6x^2 - 7x - 3?
A.(2x - 3)(3x + 1)
B.(6x + 1)(x - 3)
C.(3x - 1)(2x + 3)
D.(2x + 1)(3x - 3)
Explanation: To factor 6x^2 - 7x - 3, we look for two numbers that multiply to (6)(-3) = -18 and add up to -7. These numbers are -9 and +2. Rewriting the middle term gives 6x^2 - 9x + 2x - 3 = 3x(2x - 3) + 1(2x - 3) = (2x - 3)(3x + 1).
2Simplify the algebraic fraction (x^2 - 16) / (x^2 - 8x + 16) for all x != 4.
A.(x + 4) / (x - 4)
B.(x - 4) / (x + 4)
C.1 / (x - 4)
D.(x + 4) / (x - 8)
Explanation: Factoring the numerator as a difference of squares yields (x - 4)(x + 4). Factoring the denominator as a perfect square trinomial yields (x - 4)^2. Canceling the common factor (x - 4) leaves (x + 4) / (x - 4).
3If a and b are real numbers such that a + b = 9 and ab = 14, what is the value of a^2 + b^2?
A.53
B.67
C.81
D.95
Explanation: Using the algebraic identity (a + b)^2 = a^2 + 2ab + b^2, we rearrange to find a^2 + b^2 = (a + b)^2 - 2ab. Substituting the given values gives 9^2 - 2(14) = 81 - 28 = 53.
4What is the simplified form of the radical expression sqrt(75) - sqrt(27) + sqrt(12)?
A.4*sqrt(3)
B.2*sqrt(3)
C.6*sqrt(3)
D.sqrt(60)
Explanation: Simplifying each radical by extracting perfect square factors gives sqrt(75) = sqrt(25 * 3) = 5*sqrt(3), sqrt(27) = sqrt(9 * 3) = 3*sqrt(3), and sqrt(12) = sqrt(4 * 3) = 2*sqrt(3). Combining like radicals yields (5 - 3 + 2)*sqrt(3) = 4*sqrt(3).
5Rationalize the denominator of the fraction 6 / (sqrt(5) - sqrt(2)).
A.2*(sqrt(5) + sqrt(2))
B.6*(sqrt(5) + sqrt(2)) / 7
C.2*(sqrt(5) - sqrt(2))
D.3*(sqrt(5) + sqrt(2))
Explanation: Multiply numerator and denominator by the conjugate (sqrt(5) + sqrt(2)). The denominator becomes (sqrt(5))^2 - (sqrt(2))^2 = 5 - 2 = 3. The numerator becomes 6*(sqrt(5) + sqrt(2)). Dividing by 3 simplifies to 2*(sqrt(5) + sqrt(2)).
6What is the remainder when the polynomial P(x) = 2x^3 - 5x^2 + 4x - 7 is divided by (x - 2)?
A.-3
B.1
C.-7
D.5
Explanation: By the Remainder Theorem, the remainder of dividing P(x) by (x - 2) is equal to P(2). Evaluating P(2) = 2(2)^3 - 5(2)^2 + 4(2) - 7 = 2(8) - 5(4) + 8 - 7 = 16 - 20 + 8 - 7 = -3.
7Factor completely the polynomial expression x^3 - 8.
A.(x - 2)(x^2 + 2x + 4)
B.(x - 2)(x^2 - 2x + 4)
C.(x - 2)^3
D.(x + 2)(x^2 - 2x + 4)
Explanation: Applying the difference of cubes formula a^3 - b^3 = (a - b)(a^2 + ab + b^2) with a = x and b = 2 gives (x - 2)(x^2 + 2x + 4).
8Simplify the expression ((x^3 * y^-2) / (x^-1 * y^3))^-2.
A.y^10 / x^8
B.x^8 / y^10
C.y^5 / x^4
D.1 / (x^4 * y^5)
Explanation: First simplify inside the parentheses: (x^3 / x^-1) = x^(3 - (-1)) = x^4, and (y^-2 / y^3) = y^(-2 - 3) = y^-5. So the inner expression is x^4 * y^-5. Raising this to the power of -2 gives (x^4)^-2 * (y^-5)^-2 = x^-8 * y^10 = y^10 / x^8.
9If set A = {x in R | -3 <= x < 5} and set B = {x in R | 1 < x <= 8}, what is A intersect B?
A.(1, 5)
B.[-3, 8]
C.[1, 5)
D.(1, 5]
Explanation: Set A corresponds to the half-open interval [-3, 5) and set B corresponds to (1, 8]. The intersection consists of real numbers strictly greater than 1 (from B's open lower bound) and strictly less than 5 (from A's open upper bound), which is the open interval (1, 5).
10Evaluate the arithmetic expression: 3/4 - (1/2 + 2/3) * 3/5.
A.1/20
B.7/20
C.-1/10
D.9/20
Explanation: First, evaluate the sum inside the parentheses: 1/2 + 2/3 = 3/6 + 4/6 = 7/6. Next, multiply by 3/5: (7/6) * (3/5) = 21/30 = 7/10. Finally, subtract from 3/4: 3/4 - 7/10 = 15/20 - 14/20 = 1/20.

About the UAJMS FCEF PSA Exam

The Prueba de Suficiencia Académica (PSA) for the Facultad de Ciencias Económicas y Financieras at UAJMS in Tarija provides direct entrance to degree programmes in Economía, Contaduría Pública, Administración de Empresas, and Ingeniería Financiera. This independent English-language MCQ study adaptation covers the faculty's official 2026 Matemáticas and Lenguaje bank topics and supplemental foundational language skills. It is not an official translation or format simulation.

Assessment

In-person written knowledge assessment in Matemáticas and Lenguaje. Candidates must obtain at least 51 points in each subject; the reviewed materials do not publish the question count, duration, item format, or subject weighting.

Time Limit

Session duration is specified in each faculty convocatoria

Passing Score

Minimum 51/100 in each tested subject (Matemáticas and Lenguaje)

Exam Fee

Bs 700 (public school), Bs 800 (private school), Bs 1,600 (foreign applicant) (Facultad de Ciencias Económicas y Financieras, Universidad Autónoma Juan Misael Saracho (Tarija))

UAJMS FCEF PSA Exam Content Outline

31 of 81 practice questions; official weight not published

Matemáticas

Proportionality, polynomial operations, factoring, algebraic fractions, linear and quadratic equations, systems, logarithms, and exponents

50 of 81 practice questions; official weight not published

Lenguaje y Comunicación

Language variation and change, syntax, research methods, scientific communication and citation, linguistic signs, oratory, loanwords, and construction errors

How to Pass the UAJMS FCEF PSA Exam

What You Need to Know

  • Passing score: Minimum 51/100 in each tested subject (Matemáticas and Lenguaje)
  • Assessment: In-person written knowledge assessment in Matemáticas and Lenguaje. Candidates must obtain at least 51 points in each subject; the reviewed materials do not publish the question count, duration, item format, or subject weighting.
  • Time limit: Session duration is specified in each faculty convocatoria
  • Exam fee: Bs 700 (public school), Bs 800 (private school), Bs 1,600 (foreign applicant)

Keys to Passing

  • Work through all 81 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

UAJMS FCEF PSA Study Tips from Top Performers

1Review the official UAJMS FCEF question bank PDFs for Matemáticas (algebra, logarithms, equations) and Lenguaje.
2Practice solving quadratic equations and systems of equations quickly without calculators.
3Reinforce Spanish grammatical rules, especially diacritic accents, homophones, and sentence syntax.
4Ensure you achieve balanced preparation across both subjects, as scoring below 51 in either subject results in failure.

Frequently Asked Questions

What degree programmes are covered by the UAJMS FCEF PSA?

The exam provides admission to undergraduate programmes in Economía, Contaduría Pública, Administración de Empresas, and the Programa de Ingeniería Financiera at UAJMS in Tarija.

What is the minimum passing score for admission?

Applicants must achieve a minimum passing grade of 51 out of 100 in each evaluated subject (Matemáticas and Lenguaje). Final admission is subject to available quota per carrera.

Does UAJMS FCEF publish a formal response-language rule for the PSA?

No formal response-language rule was found in the reviewed 2026 admission page or question-bank PDFs. This resource uses English explanations while preserving Spanish text that is integral to Lenguaje practice; it is not an official translation.