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

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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 review concepts for the Secondary 4 Mathematics—Science Option Ministerial Examination — Québec exam. 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.

Exam sponsor: Ministère de l'Éducation du Québec (MEQ). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

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 / Certification Fees

Free for public/subsidized secondary school students in Quebec

Exam sponsor website

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

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%

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.

Preparing for 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 / certification fees: Free for public/subsidized secondary school students in Quebec Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Secondary 4 Mathematics—Science Option Ministerial Examination — Québec: Suggested Study Strategy

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.