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Free Practice Questions for Secondary 4 Mathematics—Technical and Scientific Option Ministerial Examination — Québec

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Key Facts: Secondary 4 Mathematics—Technical and Scientific Option Ministerial Examination — Québec Exam

50%

Weight of ministerial exam towards final course grade

Ministère de l'Éducation du Québec

3 Hours

Exam duration for the Épreuve Unique session

MEQ Official Schedule

60%

Passing mark required for DES course credits

MEQ Academic Requirements

Code 064-420

Official MEQ course code (564-420 in English)

Quebec Education Program

100

High-quality practice questions in this bank

OpenExamPrep

Québec Secondary 4 Mathematics TS Option (064-420) Épreuve Unique evaluates mathematical reasoning in technical applications, linear programming, functions, and trigonometry.

Sample Secondary 4 Mathematics—Technical and Scientific Option Ministerial Examination — Québec Practice Questions

Try these sample questions to review concepts for the Secondary 4 Mathematics—Technical and Scientific 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 of the parabola defined by the quadratic function f(x) = 2(x - 3)^2 + 5?
A.(3, 5)
B.(-3, 5)
C.(3, -5)
D.(-3, -5)
Explanation: In vertex form f(x) = a(x - h)^2 + k, the vertex is (h, k). For f(x) = 2(x - 3)^2 + 5, h = 3 and k = 5, so the vertex is (3, 5).
2Determine the y-intercept of the quadratic function f(x) = -3(x + 1)^2 + 12.
A.12
B.9
C.0
D.-3
Explanation: The y-intercept occurs where x = 0. Substituting x = 0 yields f(0) = -3(0 + 1)^2 + 12 = -3(1) + 12 = 9.
3Evaluate the greatest integer (step) function f(x) = [x] at x = -2.4.
A.-2
B.-3
C.-2.4
D.2
Explanation: The greatest integer function [x] returns the greatest integer less than or equal to x. For x = -2.4, the greatest integer less than or equal to -2.4 is -3.
4What is the domain of the square root function f(x) = √(x - 4) + 2?
A.[4, ∞)
B.(-∞, 4]
C.[2, ∞)
D.(-∞, ∞)
Explanation: The expression inside the square root must be non-negative: x - 4 ≥ 0, which means x ≥ 4. Therefore, the domain is [4, ∞).
5What are the coordinates of the vertex (apex) of the absolute value function f(x) = 3|x - 2| + 1?
A.(-2, 1)
B.(2, 1)
C.(2, -1)
D.(3, 1)
Explanation: For an absolute value function in standard form f(x) = a|x - h| + k, the vertex is (h, k). Here h = 2 and k = 1, giving (2, 1).
6What is the inverse function f⁻¹(x) of the linear function f(x) = 4x - 8?
A.f⁻¹(x) = (x + 8) / 4
B.f⁻¹(x) = (x - 8) / 4
C.f⁻¹(x) = 8 - 4x
D.f⁻¹(x) = 4x + 8
Explanation: To find the inverse, swap x and y: x = 4y - 8. Solve for y: x + 8 = 4y => y = (x + 8) / 4.
7Evaluate the step function f(x) = 2[x - 1] + 3 at x = 3.8.
A.7
B.9
C.5
D.8
Explanation: Substitute x = 3.8: f(3.8) = 2[3.8 - 1] + 3 = 2[2.8] + 3. Since [2.8] = 2, f(3.8) = 2(2) + 3 = 7.
8What is the range of the quadratic function f(x) = -(x - 5)^2 + 9?
A.(-∞, 9]
B.[9, ∞)
C.(-∞, 5]
D.[5, ∞)
Explanation: Since a = -1 < 0, the parabola opens downward, so the maximum y-value is k = 9. The range is (-∞, 9].
9Find the zero (x-intercept) of the square root function f(x) = √(x + 9) - 5.
A.16
B.25
C.-4
D.14
Explanation: Set f(x) = 0: √(x + 9) - 5 = 0 => √(x + 9) = 5 => x + 9 = 25 => x = 16.
10Evaluate the absolute value function f(x) = -2|x + 3| + 10 at x = 1.
A.2
B.18
C.-2
D.8
Explanation: Substitute x = 1: f(1) = -2|1 + 3| + 10 = -2|4| + 10 = -8 + 10 = 2.

About the Secondary 4 Mathematics—Technical and Scientific Option Ministerial Examination — Québec Exam

The Québec Secondary 4 Mathematics TS Option Ministerial Examination (Code 064-420 / 564-420) is the compulsory provincial end-of-course evaluation administered by the Ministère de l'Éducation du Québec (MEQ). It assesses proficiency in technical and scientific mathematical modeling, functions, analytic geometry, trigonometry, linear optimization, and bivariate statistics. 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.

35%

Functions & Modeling

Second-degree polynomial functions, step/greatest integer functions, absolute value functions, square root functions, and inverse functions.

30%

Analytic Geometry & Trigonometry

Sine and cosine laws, trigonometric ratios, distance formula, line equations, perpendicular/parallel lines, and circle geometry.

20%

Optimization & Linear Programming

System of linear inequalities, polygon of constraints, objective function, vertex testing, and optimal value determination.

15%

Statistics & Correlation

Two-variable statistics, contingency tables, linear correlation coefficient, median-median line, and linear regression modeling.

Preparing for the Secondary 4 Mathematics—Technical and Scientific 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—Technical and Scientific Option Ministerial Examination — Québec: Suggested Study Strategy

1Master finding parameters (a, b, h, k) and inverses for greatest integer, absolute value, and square root functions.
2Practice setting up systems of linear inequalities, plotting polygons of constraints, and evaluating objective functions at vertices.
3Review applying the Law of Sines and Law of Cosines to solve oblique triangles in practical context scenarios.
4Understand line equations (slope-intercept, general form, symmetric form) and distance from a point to a line or between parallel lines.
5Practice constructing median-median lines and estimating linear correlation coefficients from scatter plots and data sets.

Frequently Asked Questions

What is the Secondary 4 Math TS Ministerial Examination?

It is the provincial uniform exam (épreuve unique) written by secondary school students taking the Technical and Scientific option in Quebec under MEQ code 064-420 (French) or 564-420 (English).

How much does the exam count toward the final mark?

The ministerial exam grade accounts for 50% of the student's final course mark for Secondary 4 Mathematics TS.

What topics are emphasized on the Math TS exam?

Key areas include real functions (polynomial, step, absolute value, square root), analytic geometry, trigonometry (sine/cosine law), linear programming (polygon of constraints), and bivariate statistics.

What is required to earn credit for the Diploma of Secondary Studies (DES)?

A combined final grade of at least 60% is required to obtain Secondary 4 Math credits towards the Diplôme d'études secondaires (DES).

How long is the Math TS ministerial exam?

The exam is 3 hours long and is administered in a single testing session during the official MEQ exam period in June (with retake sessions in July/August).

Are these official MEQ exam questions?

No. This practice bank is independently authored by OpenExamPrep to align with the MEQ Secondary 4 Math TS curriculum standards.

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.