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Key Facts: DOMINA-BACH Básico Exam

280

Scored multiple-choice questions covering disciplinary and communication competencies

Ceneval, Guía para el sustentante DOMINA-BACH Básico

8 hours

Total test duration divided into two 4-hour testing sessions

Ceneval, Guía para el sustentante DOMINA-BACH Básico

2 levels

Subarea reporting: Aún no satisfactorio or Satisfactorio

Ceneval, DOMINA-BACH Básico official page

Core competence areas evaluated (Math, Sciences, Social Studies, Humanities, Spanish, English)

Ceneval, Guía para el sustentante DOMINA-BACH Básico

3 options

Response choices per item on the official Ceneval examination

Ceneval, Guía para el sustentante DOMINA-BACH Básico

Ceneval's DOMINA-BACH Básico is a 280-item institutional diagnostic taken in two 4-hour sessions, reporting each subarea of math, sciences, social sciences, humanities, Spanish and English as Aún no satisfactorio or Satisfactorio.

Sample DOMINA-BACH Básico Practice Questions

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

1Solve for x in the linear algebraic equation: 4(3x - 5) - 2(x + 4) = 12.

A.x = 4

B.x = 2

C.x = 5

D.x = -1

Explanation: Expanding both distributed terms gives 12x - 20 - 2x - 8 = 12. Combining like terms yields 10x - 28 = 12. Adding 28 to both sides results in 10x = 40, which divides to x = 4.

2Find the values of x and y that satisfy the linear system: 2x + 3y = 13 5x - y = 7

A.x = 3, y = 2

B.x = 2, y = 3

C.x = 1, y = -2

D.x = 4, y = 1

Explanation: From the second equation, isolate y = 5x - 7. Substituting into the first equation yields 2x + 3(5x - 7) = 13, so 17x - 21 = 13, which means 17x = 34 and x = 2. Substituting x = 2 back into y = 5(2) - 7 gives y = 3.

3What are the real roots of the quadratic equation 3x² - 10x + 3 = 0?

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

B.x = 1/2 or x = 2

C.x = 1/3 or x = 3

D.x = -1 or x = 3

Explanation: Factor 3x² - 10x + 3 as (3x - 1)(x - 3). Setting each factor equal to zero gives x = 1/3 and x = 3.

4Simplify the algebraic expression (16x⁸y⁻⁴)^(1/4) assuming x > 0 and y > 0.

A.4x²/y

B.2x⁴/y

C.4x⁴/y²

D.2x²/y

Explanation: Apply the fourth root exponent to each factor: 16^(1/4) = 2, (x⁸)^(1/4) = x^(8/4) = x², and (y⁻⁴)^(1/4) = y^(-4/4) = y⁻¹ = 1/y. Multiplying these gives 2x²/y.

5Using the Remainder Theorem, determine the remainder when the polynomial P(x) = x³ - 4x² + 5x - 8 is divided by x - 2.

A.-6

B.6

C.-2

D.14

Explanation: According to the Remainder Theorem, the remainder of P(x) divided by x - c is P(c). Setting c = 2, we evaluate P(2) = (2)³ - 4(2)² + 5(2) - 8 = 8 - 16 + 10 - 8 = -6.

6A small manufacturing workshop models its daily profit function as P(x) = -2x² + 40x - 150, where x is the number of units produced. What production quantity maximizes daily profit, and what is that maximum profit?

A.x = 20 units with a maximum profit of 250

B.x = 10 units with a maximum profit of 50

C.x = 15 units with a maximum profit of 0

D.x = 8 units with a maximum profit of 42

Explanation: The profit function is a downward-opening parabola with a = -2 and b = 40. The vertex occurs at x = -b/(2a) = -40 / [2(-2)] = 10 units. Substituting x = 10 gives P(10) = -2(100) + 40(10) - 150 = -200 + 400 - 150 = 50.

7Simplify the rational expression: (x² - 9) / (2x² + 5x - 3).

A.(x + 3) / (2x + 1)

B.(x - 3) / (2x - 1)

C.(x - 3) / (2x + 3)

D.(x + 3) / (2x - 1)

Explanation: Factor the numerator as a difference of squares: (x - 3)(x + 3). Factor the denominator by grouping: 2x² + 6x - x - 3 = (2x - 1)(x + 3). Canceling the common non-zero factor (x + 3) yields (x - 3) / (2x - 1), while preserving the original restrictions x ≠ -3 and x ≠ 1/2.

8A right triangle has perpendicular legs measuring 15 cm and 20 cm. What are its perimeter and area?

A.Perimeter = 50 cm, Area = 300 cm²

B.Perimeter = 60 cm, Area = 300 cm²

C.Perimeter = 60 cm, Area = 150 cm²

D.Perimeter = 70 cm, Area = 150 cm²

Explanation: By the Pythagorean theorem, the hypotenuse is sqrt(15² + 20²) = sqrt(225 + 400) = sqrt(625) = 25 cm. The perimeter is 15 + 20 + 25 = 60 cm. The area is (1/2) * base * height = (1/2) * 15 * 20 = 150 cm².

9Find the area of a circular sector with radius r = 6 cm and central angle θ = 60°.

A.12π cm²

B.3π cm²

C.2π cm²

D.6π cm²

Explanation: The formula for the area of a circular sector is A = (θ / 360°) * π * r². Substituting θ = 60° and r = 6 cm gives A = (60 / 360) * π * (6)² = (1/6) * 36π = 6π cm².

10If sin(θ) = 5/13 and θ is an acute angle in Quadrant I, what is the value of tan(θ)?

A.5/12

B.12/5

C.5/13

D.12/13

Explanation: In a right triangle where opposite = 5 and hypotenuse = 13, the adjacent side is sqrt(13² - 5²) = sqrt(169 - 25) = sqrt(144) = 12. Therefore, tan(θ) = opposite / adjacent = 5/12.

About the DOMINA-BACH Básico Exam

Independent DOMINA-BACH Básico practice by OpenExamPrep. The DOMINA-BACH Básico (Examen Diagnóstico de la Formación Básica del Bachillerato) is Ceneval's comprehensive diagnostic assessment measuring mastery of core upper-secondary competencies across mathematics, experimental sciences, social sciences, humanities, and communication skills in Spanish and English. The official examination contains 280 scored items with three response options administered over two 4-hour sessions through participating high schools. This practice bank is an independent English-language MCQ study adaptation featuring four response options designed to strengthen foundational competencies tested on DOMINA-BACH Básico; Spanish reading and writing exercises preserve their Spanish-language passages so the language mechanics can be assessed.

Exam sponsor: Centro Nacional de Evaluación para la Educación Superior (Ceneval). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

280 scored multiple-choice items administered across two 4-hour sessions: 200 disciplinary items (Matemáticas 60: Álgebra 20, Geometría y trigonometría 20, Precálculo 20; Ciencias experimentales 60: Química 20, Física 20, Biología 20; Ciencias sociales 40: Introducción a las ciencias sociales 20, Historia de México 20; Humanidades 40: Ética 20, Literatura 20) and 80 communication items (Español 40: Comprensión lectora 20, Redacción indirecta 20; Inglés 40: Comprensión lectora 20, Redacción indirecta 20 at B1), plus unscored pilot items.

Time Limit

Two sessions of 4 hours each (8 hours total)

Passing Score

No pass/fail threshold; each subarea is reported diagnostically as Aún no satisfactorio or Satisfactorio

Exam / Certification Fees

Institutionally contracted (fees paid by contracting schools; no individual student fee)

Exam sponsor website

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

Official sources

Ceneval — Exámenes Diagnóstico DOMINA-BACH · Source checked 2026-09-27Official DOMINA-BACH Básico page: 280 three-option items in two 4-hour sessions, institutional registration only, three delivery modalities, simple calculator allowed, and results per subarea (Aún no satisfactorio or Satisfactorio) with no pass/fail
Ceneval — Guía para el sustentante: DOMINA-BACH Básico · Source checked 2026-09-27Official guide detailing the 280-item structure across six areas, subareas, themes, bibliographies, and sample items

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.

21.4%

Matemáticas

60 items: Álgebra (20), Geometría y trigonometría (20), and Precálculo (20)

21.4%

Ciencias experimentales

60 items: Química (20), Física (20), and Biología (20)

14.3%

Ciencias sociales

40 items: Introducción a las ciencias sociales (20) and Historia de México (20)

14.3%

Humanidades

40 items: Ética (20) and Literatura (20)

14.3%

Comunicación en español

40 items: Comprensión lectora (20) and Redacción indirecta (20)

14.3%

Comunicación en inglés

40 items: Comprensión lectora (20) and Redacción indirecta (20) at CEFR B1 level

Preparing for the DOMINA-BACH Básico Exam

What You Need to Know

Passing score: No pass/fail threshold; each subarea is reported diagnostically as Aún no satisfactorio or Satisfactorio
Assessment: 280 scored multiple-choice items administered across two 4-hour sessions: 200 disciplinary items (Matemáticas 60: Álgebra 20, Geometría y trigonometría 20, Precálculo 20; Ciencias experimentales 60: Química 20, Física 20, Biología 20; Ciencias sociales 40: Introducción a las ciencias sociales 20, Historia de México 20; Humanidades 40: Ética 20, Literatura 20) and 80 communication items (Español 40: Comprensión lectora 20, Redacción indirecta 20; Inglés 40: Comprensión lectora 20, Redacción indirecta 20 at B1), plus unscored pilot items.
Time limit: Two sessions of 4 hours each (8 hours total)
Exam / certification fees: Institutionally contracted (fees paid by contracting schools; no individual student fee) Official sources

Using Our Practice Resources

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DOMINA-BACH Básico: Suggested Study Strategy

1Review foundational mathematical concepts systematically across algebra, trigonometry, and precalculus, practicing calculations by hand since only basic simple calculators are permitted.

2Work through core chemical formulas, physics laws of motion and energy, and biological cellular processes to ensure balanced preparation across experimental sciences.

3Review Mexican history chronology and social science paradigms to master the 40 disciplinary questions in social studies and humanities.

4Dedicate daily practice to Spanish grammar, punctuation rules, and reading comprehension passages to sharpen transversal communication performance.

5Practice English reading comprehension and sentence structure exercises at the CEFR B1 level to comfortably handle the 40 English communication items.

Frequently Asked Questions

What is the DOMINA-BACH Básico examination?

The DOMINA-BACH Básico is a standardized diagnostic exam developed by Ceneval for Mexican upper-secondary education (bachillerato). It evaluates disciplinary competencies in mathematics, experimental sciences, social sciences, and humanities, alongside transversal communication skills in both Spanish and English, identifying academic strengths and areas needing improvement.

How many questions are on DOMINA-BACH Básico and how is it administered?

The exam contains 280 scored multiple-choice items plus unscored pilot and control items, divided into 200 disciplinary knowledge questions and 80 communication skill questions. It is administered across two 4-hour sessions as a printed institutional exam or through Examen desde casa.

How is DOMINA-BACH Básico scored and is there a passing grade?

DOMINA-BACH Básico does not use a pass/fail threshold. The official page reports each subarea diagnostically at one of two levels: Aún no satisfactorio or Satisfactorio.

How does DOMINA-BACH Básico differ from DOMINA-BACH Avanzado?

DOMINA-BACH Básico assesses the common core curriculum (formación básica) shared by all upper-secondary students regardless of track. In contrast, DOMINA-BACH Avanzado is a specialized 150-item instrument where participating schools select one of seven combinations of four 20-item elective modules from 14 specialized subjects to evaluate advanced terminal preparatory training.

Can individual students register independently for DOMINA-BACH Básico?

No. DOMINA-BACH Básico is an institutionally contracted diagnostic instrument. High schools, preparatory school networks, and state educational subsystems contract Ceneval to evaluate their student cohorts, administer the sessions, and receive institutional diagnostic analytics.

Why does this practice bank feature four answer options in English?

The official Ceneval exam uses three response options in Spanish (with English modules). OpenExamPrep provides this bank as an independent English-language MCQ study adaptation with four options to support learners and international students reviewing upper-secondary subjects; Spanish reading comprehension and indirect writing exercises retain Spanish-language text so language mechanics can be tested accurately.