Free Practice Questions for Pruebas Nacionales Matemática

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Exam Review

Key Facts: Pruebas Nacionales Matemática Exam

Official Questions

MINERD DCE Framework

110 min

Time Limit

MINERD 2026 National Results Report

Not published

Separate Exam Fee

Current MINERD materials reviewed

70/100

Minimum Pass Score

Ordenanza 1-2016

The Pruebas Nacionales de Matemática is a mandatory Dominican secondary exit exam administered by MINERD under Ordenanza 1-2016. It contains 42 multiple-choice questions administered in 110 minutes on paper. The exam score accounts for 30% of the subject's final graduation grade and the school presentation grade provides 70%; the combined score must reach 70. The official exam is in Spanish; this bank is an English-language MCQ concept-review adaptation.

Sample Pruebas Nacionales Matemática Practice Questions

Try these sample questions to review concepts for the Pruebas Nacionales Matemática exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 83+ question experience with AI tutoring.

1A student's algebra model reduces to 4x - 7 = 2x + 9. What value of x makes the statement true?

A.x = 8

B.x = 1

C.x = 16

D.x = -8

Explanation: Subtract 2x from both sides: 2x - 7 = 9. Add 7 to both sides: 2x = 16. Divide by 2: x = 8.

2Given the linear system of equations: 2x + y = 11 and x - y = 1, what is the value of the product x * y?

A.7

B.12

C.10

D.4

Explanation: Adding the two equations eliminates y: (2x + y) + (x - y) = 11 + 1, so 3x = 12, giving x = 4. Substitute x = 4 into x - y = 1: 4 - y = 1, so y = 3. The product x * y is 4 * 3 = 12.

3What is the positive solution to the quadratic equation x^2 - 5x - 24 = 0?

A.x = 3

B.x = 6

C.x = 8

D.x = 12

Explanation: Factor the quadratic equation into (x - 8)(x + 3) = 0. The solutions are x = 8 and x = -3. The positive solution is x = 8.

4Which of the following is the complete factorization of 16x^2 - 81y^2?

A.(4x - 9y)^2

B.(16x - 81y)(x + y)

C.(8x - 9y)(8x + 9y)

D.(4x - 9y)(4x + 9y)

Explanation: The expression is a difference of squares: a^2 - b^2 = (a - b)(a + b). Here a = sqrt(16x^2) = 4x and b = sqrt(81y^2) = 9y. Thus, 16x^2 - 81y^2 = (4x - 9y)(4x + 9y).

5Using the discriminant Delta = b^2 - 4ac, determine the nature of the roots of 2x^2 - 4x + 5 = 0.

A.Two complex conjugate solutions (no real roots)

B.Two distinct real rational solutions

C.Two distinct real irrational solutions

D.One real double root

Explanation: For 2x^2 - 4x + 5 = 0, a = 2, b = -4, and c = 5. The discriminant is Delta = (-4)^2 - 4(2)(5) = 16 - 40 = -24. Because Delta < 0, the equation has two non-real complex conjugate roots.

6If f(x) = 3x^2 - 2x + 4, what is the value of f(-2)?

A.12

B.20

C.8

D.-12

Explanation: Substitute x = -2 into the function: f(-2) = 3(-2)^2 - 2(-2) + 4 = 3(4) + 4 + 4 = 12 + 4 + 4 = 20.

7What is the slope of the straight line passing through points A(2, -3) and B(6, 5)?

A.1/2

B.-2

C.2

D.4

Explanation: The slope formula is m = (y2 - y1) / (x2 - x1). Substituting the coordinates: m = (5 - (-3)) / (6 - 2) = (5 + 3) / 4 = 8 / 4 = 2.

8Which of the following represents the equation of the line parallel to y = -3x + 4 that passes through point P(1, 2)?

A.y = (1/3)x + 5/3

B.y = -3x - 1

C.y = 3x - 1

D.y = -3x + 5

Explanation: Parallel lines have identical slopes, so m = -3. Using the point-slope form with (1, 2): y - 2 = -3(x - 1) => y - 2 = -3x + 3 => y = -3x + 5.

9What is the slope of any line perpendicular to the linear equation 2x - 5y = 10?

A.-5/2

B.2/5

C.-2/5

D.5/2

Explanation: Convert 2x - 5y = 10 to slope-intercept form: -5y = -2x + 10 => y = (2/5)x - 2. The slope is m1 = 2/5. Perpendicular lines have negative reciprocal slopes: m2 = -1 / (2/5) = -5/2.

10Solve the inequality: 3(x - 2) <= 5x + 8.

A.x <= -7

B.x >= -7

C.x >= 7

D.x <= 1

Explanation: Expand the left side: 3x - 6 <= 5x + 8. Subtract 5x from both sides: -2x - 6 <= 8. Add 6 to both sides: -2x <= 14. Divide by -2 and reverse the inequality sign: x >= -7.

About the Pruebas Nacionales Matemática Exam

The Pruebas Nacionales de Secundaria in Matemática is the standardized national exit exam administered by MINERD to certify secondary school graduates across the Dominican Republic.

Exam sponsor: Ministerio de Educación de la República Dominicana (MINERD). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

42 four-option multiple-choice items completed in one paper-and-pencil subject session

Time Limit

110 minutes

Passing Score

70 points out of 100 (exam weights 30% and school record weights 70% under Ordenanza 1-2016)

Exam / Certification Fees

No separate candidate fee published in the current official materials reviewed

Exam sponsor website

Reported exam pass rate: Not represented as a stable subject-specific rate. MINERD publishes cohort performance and overall promotion results annually; they are not a fixed pass-rate specification for this subject. 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.

40%

Communication, Modeling & Representation

Interpret and represent information in contextual natural, analytical, graphical, tabular, and matrix forms.

40%

Problem Solving

Apply strategies across the official algebra-arithmetic-calculus, geometry-trigonometry, and statistics-probability axes.

20%

Reasoning & Argumentation

Evaluate answers, justify procedures, and draw conclusions from given mathematical information.

Preparing for the Pruebas Nacionales Matemática Exam

What You Need to Know

Passing score: 70 points out of 100 (exam weights 30% and school record weights 70% under Ordenanza 1-2016)
Assessment: 42 four-option multiple-choice items completed in one paper-and-pencil subject session
Time limit: 110 minutes
Exam / certification fees: No separate candidate fee published in the current official materials reviewed Official sources

Using Our Practice Resources

Work through all 83 available questions
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Pruebas Nacionales Matemática: Suggested Study Strategy

1Master factoring techniques (difference of squares, trinomial factoring, grouping) to solve algebraic questions quickly.

2Review formulas for areas of circles, trapezoids, triangles, and volumes of cylinders, cones, and rectangular prisms.

3Practice solving 2x2 systems of linear equations by hand, then follow the calculator instructions issued for the applicable convocatoria.

4Understand the basic trigonometric definitions of sine, cosine, and tangent for special angles (30°, 45°, 60°).

Frequently Asked Questions

How many questions are on the official Pruebas Nacionales Matemática exam?

The official exam booklet contains 42 multiple-choice questions, each with four answer options (A, B, C, D) and a single correct answer.

What materials does the official familiarization booklet specify?

The booklet describes a paper question booklet and separate answer sheet marked in pencil. The current public framework and booklet reviewed do not state a calculator rule, so candidates should follow the instructions issued for their convocatoria.

What is the passing score for the Matemática exam?

Under Ordenanza 1-2016, passing requires a combined final grade of at least 70 points out of 100, calculated as 30% of the Pruebas Nacionales score plus 70% of the high school presentation average.

Is the official exam administered in English or Spanish?

The official examination is conducted entirely in Spanish by MINERD. This practice bank provides an English-language study adaptation of the tested mathematical skills and competencies for international and bilingual learners.