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Free Practice Questions for ESIIES Modalidad DGENAM

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Key Facts: ESIIES Modalidad DGENAM Exam

115

Scored multiple-choice questions on the ESIIES DGENAM (plus 19 trial items)

Guía de estudios DGENAM 2026; exBach

4 hours

Maximum time to answer the four modules, per the official study guide

Guía de estudios DGENAM 2026

4 modules

Exam areas: Matemáticas (25), Ciencias experimentales (25), Ciencias sociales (25), Comunicación (40)

Guía de estudios DGENAM 2026

Free ($0 MXN)

Application fee for the selection examination under the official convocatoria

Convocatoria Ingreso a Escuelas Normales CDMX 2026-2027

5 Normales

Public Escuelas Normales named in the CDMX convocatoria (authorized private normales also participate)

Convocatoria Ingreso a Escuelas Normales CDMX 2026-2027

The ESIIES Modalidad DGENAM is the free selection exam for Mexico City's Escuelas Normales (ENSM, BENM, ENMJN, ENERSQ, ESEF): 115 scored three-option items in four modules, taken on paper, with places assigned by score.

Sample ESIIES Modalidad DGENAM Practice Questions

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

1A student needs to solve the arithmetic operation: (3/4 - 1/6) ÷ (5/8 + 1/2). Which of the following represents the most simplified result?
A.14/27
B.7/12
C.21/32
D.35/36
Explanation: First, find a common denominator for the numerator: 3/4 - 1/6 = 9/12 - 2/12 = 7/12. Next, calculate the denominator: 5/8 + 1/2 = 5/8 + 4/8 = 9/8. Finally, divide the fractions: (7/12) ÷ (9/8) = (7/12) × (8/9) = 56/108. Dividing both numerator and denominator by 4 yields the simplified fraction 14/27.
2If 6 bricklayers can build a perimeter wall in 15 days working at a constant rate, how many days would it take 10 bricklayers working at the same pace to complete the identical wall?
A.25 days
B.8 days
C.12 days
D.9 days
Explanation: This situation represents an inverse proportionality relationship, as increasing the number of workers decreases the required completion time. The constant product is (workers × days) = 6 × 15 = 90 worker-days. For 10 workers: 10 × days = 90, so days = 90 / 10 = 9 days.
3Which of the following expressions is equivalent to simplifying the radical expression √(75) - 2√(12) + √(27)?
A.4√3
B.6√3
C.8√3
D.12√3
Explanation: Decompose each radicand into prime factors containing perfect squares: √(75) = √(25 × 3) = 5√3; 2√(12) = 2√(4 × 3) = 2(2√3) = 4√3; and √(27) = √(9 × 3) = 3√3. Combining the like terms yields: 5√3 - 4√3 + 3√3 = (5 - 4 + 3)√3 = 4√3.
4What is the least common multiple (mínimo común múltiplo, mcm) of the numbers 24, 36, and 40?
A.120
B.240
C.360
D.720
Explanation: Perform prime factorization on each integer: 24 = 2^3 × 3; 36 = 2^2 × 3^2; and 40 = 2^3 × 5. The least common multiple is calculated by taking the highest power of all prime factors present: 2^3 × 3^2 × 5 = 8 × 9 × 5 = 360.
5A laboratory measures a biological specimen with a length of 0.0000458 meters. How is this measurement correctly written in standard scientific notation?
A.45.8 × 10^-6 m
B.0.458 × 10^-4 m
C.4.58 × 10^5 m
D.4.58 × 10^-5 m
Explanation: Standard scientific notation requires the coefficient to be greater than or equal to 1 and strictly less than 10. Moving the decimal point 5 places to the right gives 4.58. Because the original number is less than 1, the exponent is negative: 4.58 × 10^-5 m.
6Which algebraic expression represents the statement: 'The difference between the square of a number and three times the successor of that same number'?
A.x^2 - 3(x + 1)
B.(x - 3(x + 1))^2
C.x^2 - (3x + 1)
D.2x - 3(x + 1)
Explanation: Let the number be represented by variable x. 'The square of a number' is x^2. The 'successor of that same number' is (x + 1). 'Three times the successor' is 3(x + 1). Therefore, 'the difference between the square of a number and three times the successor' is x^2 - 3(x + 1).
7What is the resulting expression after completely factoring the polynomial 4x^2 - 12x - 40?
A.4(x - 5)(x + 2)
B.(2x - 10)(2x + 4)
C.4(x + 5)(x - 2)
D.2(2x - 5)(x + 4)
Explanation: First factor out the greatest common factor, 4: 4(x^2 - 3x - 10). Next, factor the trinomial by finding two integers whose product is -10 and whose sum is -3; these are -5 and +2. The complete factorization is 4(x - 5)(x + 2), and no factor can be broken down further.
8What are the real solutions to the quadratic equation 2x^2 - 7x + 3 = 0?
A.x = 1/2 and x = 3
B.x = -1/2 and x = -3
C.x = 2 and x = 3/2
D.x = -2 and x = 7
Explanation: Apply the quadratic formula x = [-b ± √(b^2 - 4ac)] / (2a) with a = 2, b = -7, and c = 3: b^2 - 4ac = (-7)^2 - 4(2)(3) = 49 - 24 = 25. Then x = [7 ± √25] / 4 = (7 ± 5) / 4. This gives x_1 = (7 + 5) / 4 = 12 / 4 = 3, and x_2 = (7 - 5) / 4 = 2 / 4 = 1/2.
9What is the solution (x, y) to the system of linear equations 2x + 3y = 13 and 4x - y = 5?
A.(5, 1)
B.(3, 2)
C.(-1, 5)
D.(2, 3)
Explanation: Solve the second equation for y: y = 4x - 5. Substitute into the first: 2x + 3(4x - 5) = 13, so 14x - 15 = 13, 14x = 28, and x = 2. Then y = 4(2) - 5 = 3. Check: 2(2) + 3(3) = 13 and 4(2) - 3 = 5, so the solution is (2, 3).
10Which interval represents the solution set for the linear inequality 3(x - 2) ≤ 5x + 4?
A.(-∞, -5]
B.(-∞, 5]
C.[-1, ∞)
D.[-5, ∞)
Explanation: Distribute the left side: 3x - 6 ≤ 5x + 4. Subtract 5x from both sides: -2x - 6 ≤ 4. Add 6 to both sides: -2x ≤ 10. Divide both sides by -2, remembering to reverse the inequality direction: x ≥ -5. In interval notation, this is [-5, ∞).

About the ESIIES Modalidad DGENAM Exam

Independent ESIIES Modalidad DGENAM practice by OpenExamPrep. The ESIIES (Evaluación de Saberes Imprescindibles para Ingresar a Educación Superior) is an exam family from exBach Tecnología Educativa; its Modalidad DGENAM is the selection exam named in the 2026–2027 convocatoria for Mexico City's Escuelas Normales, including ENSM, BENM, ENMJN, ENERSQ, and ESEF. The official test is a Spanish-language paper exam of 115 scored three-option items in mathematics, experimental sciences, social sciences, and communication. This bank is an English-language MCQ study adaptation with four options per item, not an official translation or a simulation of the exam; Spanish grammar, spelling, and vocabulary items keep their Spanish text.

Exam sponsor: DGENAM / AEFCM / SEP (administered through exBach Tecnología Educativa). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The ESIIES Modalidad DGENAM is the selection exam named in the 2026–2027 convocatoria for Escuelas Normales in Mexico City. It is taken in person on paper and has four scored modules totaling 115 items, plus 19 unscored trial items: Matemáticas (25 items, 60 min), Ciencias experimentales (25 items, 60 min), Ciencias sociales (25 items, 50 min), and Comunicación (40 items, 70 min, including informática and English at CEFR A1–A2). The guide sets a maximum of 4 hours to answer; the convocatoria describes a session of up to four and a half hours. Each item has three answer choices (A, B, C) marked on an optical answer sheet with a No. 2 or 2½ pencil, with no deduction for wrong or blank answers; calculators and phones are not permitted. ESEF applicants also take a separate motor-skills test, which is not part of the ESIIES outline.

Time Limit

Up to 240 minutes of testing (4 timed modules); session of up to 4.5 hours per the convocatoria

Passing Score

No minimum passing mark is set; applicants are ranked by their ESIIES score (por escalafón) for placement into available seats

Exam / Certification Fees

Free ($0 MXN; the admission exam is free of charge)

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 115 items (21.7%)

Matemáticas

Arithmetic, ratios and proportions, powers and radicals, prime factorization, algebra, linear and quadratic equations, geometry, trigonometry, and probability and statistics.

25 of 115 items (21.7%)

Ciencias experimentales

Physics (kinematics, Newton's laws, energy, fluids, thermodynamics, electricity), chemistry (atomic structure, periodic table, bonding, stoichiometry), biology (cell theory, biomolecules, genetics, evolution), and ecology.

25 of 115 items (21.7%)

Ciencias sociales

Mexican history from pre-Hispanic cultures to contemporary times, world history, democratic governance and constitutional rights, sociology, basic micro and macroeconomics, and administrative process.

40 of 115 items (34.8%)

Comunicación

Reading comprehension of expository and argumentative texts, critical vocabulary, discourse cohesion and coherence, Spanish grammar, syntax, accentuation, spelling, literature, digital literacy, and English at CEFR A1–A2.

Preparing for the ESIIES Modalidad DGENAM Exam

What You Need to Know

  • Passing score: No minimum passing mark is set; applicants are ranked by their ESIIES score (por escalafón) for placement into available seats
  • Assessment: The ESIIES Modalidad DGENAM is the selection exam named in the 2026–2027 convocatoria for Escuelas Normales in Mexico City. It is taken in person on paper and has four scored modules totaling 115 items, plus 19 unscored trial items: Matemáticas (25 items, 60 min), Ciencias experimentales (25 items, 60 min), Ciencias sociales (25 items, 50 min), and Comunicación (40 items, 70 min, including informática and English at CEFR A1–A2). The guide sets a maximum of 4 hours to answer; the convocatoria describes a session of up to four and a half hours. Each item has three answer choices (A, B, C) marked on an optical answer sheet with a No. 2 or 2½ pencil, with no deduction for wrong or blank answers; calculators and phones are not permitted. ESEF applicants also take a separate motor-skills test, which is not part of the ESIIES outline.
  • Time limit: Up to 240 minutes of testing (4 timed modules); session of up to 4.5 hours per the convocatoria
  • Exam / certification fees: Free ($0 MXN; the admission exam is free of charge) Official sources

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ESIIES Modalidad DGENAM: Suggested Study Strategy

1Dedicate balanced study time across all four modules: Matemáticas (25), Ciencias experimentales (25), Ciencias sociales (25), and Comunicación (40).
2Review high-school mathematics thoroughly, focusing on worked algebraic problem solving, geometry formulas, and right-triangle trigonometry.
3In sciences, focus on foundational laws: Newton's laws of motion, periodic table properties, cell respiration/photosynthesis, and Mendelian genetics.
4Review Mexican constitutional history, separation of powers, and civic rights to score well in the social sciences module.
5In communication, practice identifying discourse markers, correcting Spanish grammatical concordances and accentuation rules, and reviewing CEFR A1-A2 English fundamentals.

Frequently Asked Questions

What is the ESIIES Modalidad DGENAM?

The ESIIES (Evaluación de Saberes Imprescindibles para Ingresar a Educación Superior) is an admission-exam family developed by exBach Tecnología Educativa and used by several Mexican institutions. Its Modalidad DGENAM is the version named in the 2026–2027 convocatoria of the SEP, through the AEFCM and its DGENAM, for admission to Escuelas Normales in Mexico City.

Which schools in Mexico City use this exam?

The convocatoria covers the public Escuela Nacional para Maestras de Jardines de Niños (ENMJN), Benemérita Escuela Nacional de Maestros (BENM), Escuela Normal Superior de México (ENSM), Escuela Normal de Especialización Dr. Roberto Solís Quiroga (ENERSQ), and Escuela Superior de Educación Física (ESEF), as well as authorized private Escuelas Normales in Mexico City.

Does Mexico City normal school admission use Ceneval's EXANI-II?

No. The 2026–2027 convocatoria names the ESIIES Modalidad DGENAM as the selection exam and ranks applicants by their ESIIES score. EXANI-II is a separate Ceneval exam.

How many questions are on the official exam and how long is it?

The guide lists 115 scored items plus 19 unscored trial items (134 in total), with a maximum of 4 hours to answer; the convocatoria describes a session of up to four and a half hours. Each item has three answer choices (A, B, C), marked on an optical answer sheet with a No. 2 or 2½ pencil.

What is the passing score for the ESIIES DGENAM?

There is no fixed passing score. Applicants are ranked in descending order of their ESIIES test score (por escalafón), and places are awarded based on institutional capacity and program quotas.

How much does the examination cost?

The selection examination is completely free ($0 MXN). The official convocatoria states explicitly that 'El examen de selección es gratuito'.

Why is this OpenExamPrep practice bank in English?

The official ESIIES exam is in Spanish and uses three answer choices per item. OpenExamPrep publishes one English-language practice bank per exam, so this bank is an independent English-language MCQ study adaptation with four options per item, not an official translation or a simulation of the exam. Spanish grammar, spelling, vocabulary, and literature items keep their Spanish text where the skill requires it.