Secondary 4 Mathematics-Technical and Scientific Option Ministerial Examination - Québec study guide
Secondary 4 Mathematics-Technical and Scientific Option Ministerial Examination - Québec · Work through your exam, one topic at a time.
The Secondary 4 Mathematics - Technical and Scientific Option (Technico-sciences, or TS) ministerial examination is the end-of-year assessment for Québec students enrolled in the TS mathematics sequence. It is written in a school setting under the rules set by the Ministère de l'Éducation (MELS/MÉES) and marked against provincial standards. The Secondary 4 Mathematics-Technical and Scientific Option Ministerial Examination - Québec study guide has 6 sections and about 2,577 words.
01Algebra and Functions
This domain examines how well you move between the symbolic, graphical and tabular forms of real functions - above all the second-degree (quadratic) function - and how you solve the equations, inequalities and systems that model a situation. General form: f(x) = ax² + bx + c.
490 words, about 2 min02Geometry and Geometric Transformations
This domain checks plane-figure properties, the metric and similarity relations that let you calculate unknown lengths, areas and volumes, the effect of transformations, and analytic geometry in the Cartesian plane. Perimeter and area of triangles, quadrilaterals, regular polygons and composite figures (decompose, then add or subtract).
407 words, about 2 min03Trigonometry
Trigonometry in this option centres on the right triangle, the sine and cosine laws, and the area formula that uses an angle - the tools the exam expects you to choose correctly from a diagram or a word problem involving elevations, bearings or distances that cannot be measured directly. Use SOH-CAH-TOA: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent.
397 words, about 2 min04Statistics and Probability
This domain tests whether you can summarize and compare one-variable distributions, describe a relationship between two variables, and count and compute probabilities in situations with and without replacement. Mean = sum of values ÷ number of values; median = middle value (the average of the two middle values when n is even); mode = most frequent value.
438 words, about 2 min05Optimization and Mathematical Modelling
Optimization questions ask you to translate a written situation into constraints and an objective, then find the best feasible choice. The exam tests the whole modelling cycle, not just the final number.
453 words, about 2 min06Reasoning and Mathematical Communication
This competency is assessed inside every other question: a correct number with no valid justification earns little. The exam looks for a clear chain from hypotheses to conclusion, correct notation, and honest handling of evidence.
392 words, about 2 min