100+ Free Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Practice Questions

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2026 Statistics

Key Facts: Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Exam

60%

Passing Score

MEQ

100

Practice Questions

OpenExamPrep

Québec Secondary 4 Mathematics SN Option (065-420) Épreuve Unique is a rigorous 3-hour exam testing theoretical mathematical reasoning, algebraic proofs, functions, and synthetic geometry.

Sample Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Practice Questions

Try these sample questions to test your Secondary 4 Mathematics—Science Option Ministerial Examination — Québec exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What are the coordinates of the vertex for the quadratic function f(x) = 2(x - 3)² + 5?

A.(3, 5)

B.(-3, 5)

C.(3, -5)

D.(-3, -5)

Explanation: The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) represents the vertex. Here, h = 3 and k = 5, giving the vertex (3, 5).

2Find the domain of the square root function f(x) = √(4x - 12) + 2.

A.[3, +∞[

B.]-∞, 3]

C.[12, +∞[

D.[-3, +∞[

Explanation: For the square root to be defined in real numbers, the expression inside must be non-negative: 4x - 12 ≥ 0 ⟹ 4x ≥ 12 ⟹ x ≥ 3. Therefore, the domain is [3, +∞[.

3Solve the absolute value equation |2x - 6| = 10.

A.x = 8 or x = -2

B.x = 8 or x = 2

C.x = -8 or x = 2

D.x = 8 only

Explanation: The equation |2x - 6| = 10 splits into two cases: 2x - 6 = 10 ⟹ 2x = 16 ⟹ x = 8, or 2x - 6 = -10 ⟹ 2x = -4 ⟹ x = -2.

4Given the step function f(x) = 3[x - 1] + 4, evaluate f(4.7), where [·] denotes the greatest integer function (floor).

A.13

B.16

C.10

D.15

Explanation: Substitute x = 4.7 into the function: f(4.7) = 3[4.7 - 1] + 4 = 3[3.7] + 4. Since [3.7] = 3, we get 3(3) + 4 = 9 + 4 = 13.

5The function f is defined by f(x) = x² - 6x + 5. What are the zeros of f?

A.x = 1 and x = 5

B.x = -1 and x = -5

C.x = 2 and x = 3

D.x = 0 and x = 6

Explanation: Factor: f(x) = (x - 1)(x - 5). The zeros are the solutions of (x - 1)(x - 5) = 0, so x = 1 and x = 5. Completing the square or the quadratic formula yields the same roots.

6Find the zeros of the quadratic function f(x) = x² - 7x + 10.

A.x = 2 and x = 5

B.x = -2 and x = -5

C.x = -2 and x = 5

D.x = 1 and x = 10

Explanation: Set f(x) = 0: x² - 7x + 10 = (x - 2)(x - 5) = 0. Thus, x = 2 or x = 5.

7Given f(x) = 3x² - 2x + 1 and g(x) = x² + 5x - 4, find (f + g)(x).

A.4x² + 3x - 3

B.4x² - 7x + 5

C.3x² + 3x - 3

D.4x² + 3x + 5

Explanation: (f + g)(x) = (3x² + x²) + (-2x + 5x) + (1 - 4) = 4x² + 3x - 3.

8Solve the radical equation √(x + 5) = 4.

A.x = 11

B.x = 21

C.x = 3

D.x = 16

Explanation: Square both sides: x + 5 = 4² = 16 ⟹ x = 16 - 5 = 11. Checking: √(11 + 5) = √16 = 4.

9In the step function f(x) = -2[0.5(x - 3)] + 1, what is the vertical distance between consecutive steps?

A.2

B.0.5

C.1

D.3

Explanation: In a step function of the form f(x) = a[b(x - h)] + k, the height of each step (vertical distance between consecutive steps) is given by |a|. Here, |a| = |-2| = 2.

10Find the axis of symmetry for the parabola f(x) = -3x² + 12x - 5.

A.x = 2

B.x = -2

C.x = 4

D.x = -4

Explanation: The equation of the axis of symmetry for a quadratic function in standard form is x = -b / (2a). Here, a = -3 and b = 12, so x = -12 / (2 · (-3)) = -12 / (-6) = 2.

About the Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Exam

The Québec Secondary 4 Mathematics Science Option (SN - Science Naturelle) Ministerial Examination (Code 065-420 / 565-420) is a uniform exam (épreuve unique) administered across the province of Québec. It evaluates students' competencies in theoretical mathematical reasoning, algebraic proof, modeling real-world problems using advanced functions, analytic and synthetic geometry, trigonometry, and systems of equations. This OpenExamPrep bank is an English-language MCQ study adaptation for program knowledge and judgment; it does not reproduce or replace the official ministerial assessment format.

Assessment

3-hour ministerial examination with 16 tasks: Part A (6 MCQs), Part B (4 short answers), Part C (6 situations involving applications).

Time Limit

3 hours

Passing Score

Counts for 50% of final course mark; 60% required for DES credit

Exam Fee

Free for public/subsidized secondary school students in Quebec (Ministère de l'Éducation du Québec (MEQ))

Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Exam Content Outline

40%

Core Curriculum Knowledge

Assessment of core subject knowledge and curriculum requirements.

30%

Application & Reasoning

Applying concepts to practical situations and reasoning.

30%

Analysis & Synthesis

Critical analysis, evaluation, and synthesis of source materials.

How to Pass the Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Exam

What You Need to Know

Passing score: Counts for 50% of final course mark; 60% required for DES credit
Assessment: 3-hour ministerial examination with 16 tasks: Part A (6 MCQs), Part B (4 short answers), Part C (6 situations involving applications).
Time limit: 3 hours
Exam fee: Free for public/subsidized secondary school students in Quebec

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Study Tips from Top Performers

1Practice transforming and analyzing functions (quadratic, square-root, absolute-value, step) and justifying domain/range decisions.

2Rehearse analytic geometry proofs and trigonometric applications with complete written reasoning, not only final answers.

3Use the official three-part structure in study: quick concept checks (Part A), short procedures (Part B), and multi-step application situations (Part C).

Frequently Asked Questions

What is the Québec Secondary 4 Mathematics Science Option ministerial examination?

It is the MEQ uniform examination (codes 065-420 French / 565-420 English) for the Secondary 4 Mathematics Science Option (Sciences naturelles). It is a 3-hour exam with 16 tasks across multiple-choice, short-answer, and situations involving applications, counting for 50% of the final course mark.

What is the passing / credit standard?

The ministerial result counts for 50% of the final course mark. Students generally need an overall course mark of at least 60% to earn Secondary 4 mathematics credits toward the DES.

Are these practice questions in the official ministerial examination format?

No. OpenExamPrep publishes an English-language multiple-choice study adaptation aligned to MEQ program content and rubrics. It is not an official translation, format simulation, or substitute for the official reading, writing, oral, constructed-response, or performance components.

100+ Free Secondary 4 Mathematics—Science Option Ministerial Examination — Québec Practice Questions

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