How much does the CST Ministry examination count for in Secondary 4?

It counts for 50 percent of the final result, the other half coming from the school's grade. The Ministry produces a separate version for each of the three sequences: a CST student sits a CST paper, not the SN one. A student at 75 percent through the year who scores 55 on the paper finishes at 65, which is why targeted preparation in the weeks before genuinely changes the result.

Montreal, Quebec curriculum, Secondary 4

CST 4 Math Tutor in Montreal

Q: What is the CST sequence in Secondary 4 in Quebec?

Culture, societe et technique (CST) is one of the three mathematics sequences offered from Secondary 4, alongside Technico-sciences and Sciences naturelles. It is the most widely taken of the three. It is oriented toward interpreting data, modelling real situations and everyday applications rather than abstract proof. The syllabus covers exponential notation, systems of equations, several families of functions, triangle geometry, analytic geometry and a heavily developed statistics block. The year ends with a Ministry examination in June.

Q: Does CST close doors at CEGEP?

It closes direct access to the Sciences de la nature program, which requires TS or SN mathematics from Secondary 5. It leaves open social science, arts, letters and a large number of technical programs, several of which require Secondary 5 CST as a prerequisite. The exact prerequisite has to be checked program by program in the admission guide of the CEGEP concerned, because it varies between institutions. Changing sequence later remains possible but means bridging courses.

Q: Which topics cause the most difficulty in CST 4?

Three blocks come back every year. The families of functions first, because the student has to recognise which one applies from a graph or a text rather than apply a method they were told to use. Then percentile rank and the measures of dispersion, where the calculation is simple but everything turns on interpretation: the same number answers three different questions depending on the group it is referred to. And finally the application situations of the examination, which require modelling a context before anything can be computed.

Tutor in Culture, societe et technique (CST) mathematics for Secondary 4 in Montreal, with more than 10 years of experience. CST is the most widely taken sequence of the Quebec curriculum, and also the one nobody writes about: serious free resources are scarce, even though it ends in a Ministry examination worth half the final grade. I cover the whole syllabus, from autumn catch-up to the June paper. Sessions in English or in French.

CST sequence, Secondary 4 Ministry examination Families of functions Statistics and percentile rank Free corrected exercises ★ 5.0 · 11 Google reviews

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CST is not "the easy stream", and that matters

Quebec splits mathematics into three streams from Secondary 4, which has no North American equivalent. CST is the most widely taken, and it is routinely described to parents as the lighter option. The calculations genuinely are simpler than in SN, but the questions ask for interpretation, and interpretation is not guessed, it is taught.

This is the most expensive misunderstanding of the year. A student who finds the right number and explains it badly loses marks exactly as an SN student would. Many arrive at the June paper convinced they understood the material because they could compute, and discover they were being asked for something else entirely.

CST mathematics in Secondary 4: what to know

The Culture, societe et technique sequence is for students not heading into pure science or engineering. It does not aim at abstract proof but at equipping a citizen: reading a table of data without being misled by a percentage, understanding what a percentile rank actually says, modelling a situation with the right family of functions, deciding whether two variables are genuinely related.

That does not make CST easy. The calculations are simpler than in SN, but the questions require interpretation, and interpretation is learned rather than guessed. A student who finds the right number and explains it poorly loses marks, exactly as in SN.

The other reality of the year is administrative: a Ministry examination specific to the CST sequence, identical across the province, worth half the final result. A good school year does not compensate for a poor paper.

The CST 4 syllabus

Algebra and functions

Exponential notation and fractional exponents
Systems of first degree equations
The quadratic function
Exponential and piecewise functions
Step functions and periodic functions

Triangle geometry

Congruence and similarity: SSS, SAS, ASA and AA
Ratio of similarity: lengths, areas, volumes
Metric relations in the right triangle
Sine, cosine, tangent and angles of elevation
Sine law, cosine law, general triangles

Analytic geometry

Distance, division point, slope
Equations of lines and notable lines
Relative position, parallel and perpendicular
Perpendicular bisector, median, altitude and loci
Simple analytic proofs

Statistics

Stem-and-leaf, box, quartile and pie diagrams
Range, mean deviation, interquartile range
Percentile rank and its interpretation
Two-way tables and their three percentages
Scatter plots, correlation, median-median line

Coverage varies slightly from school to school. We adjust to the course plan and textbook your child's teacher is using.

In French

Corrected exercises and revision sheets, chapter by chapter

All 13 chapters of the Secondary 4 CST syllabus have their own corrected exercise set and revision sheet, free and with no sign-up. Each set is in the format of an evaluation, ten questions marked out of 100, a first part on the fundamentals and a second at Ministry examination level, with the full reasoning for every question. The revision sheet does not repeat the lesson: it puts a number of marks on each mistake and gives the exact sentence to write on the paper. These are written in French, which is the language of your child's exam.

Apprécier la valeur d'une puissance Exercises Revision sheet
Les systèmes d'équations Exercises Revision sheet
La fonction polynomiale de degré 2 Exercises Revision sheet
Les fonctions exponentielles Exercises Revision sheet
Les fonctions définies par parties Exercises Revision sheet
La fonction partie entière Exercises Revision sheet
Les fonctions périodiques Exercises Revision sheet
La similitude et l'isométrie des triangles Exercises Revision sheet
Relations métriques et trigonométrie du triangle rectangle Exercises Revision sheet
La résolution de triangles Exercises Revision sheet
La géométrie analytique Exercises Revision sheet
Nuage de points, corrélation et régression Exercises Revision sheet
Dispersion, rang centile et diagrammes Exercises Revision sheet

Several of these chapters are shared between CST and the Sciences naturelles sequence: the set is then the same one, and it suits both.

CST, TS or SN: what the choice actually commits to

The choice is made at the end of Secondary 3 and is hard to change afterwards. It does not measure a student's intelligence; it points them toward different CEGEP programs, and that is the angle to judge it from.

Culture, societe et technique (CST)

Centred on interpreting data, modelling concrete situations and everyday applications. It leaves social science, arts, letters and a large number of technical programs open. It does close direct access to the Sciences de la nature program, which requires TS or SN mathematics from Secondary 5.

Technico-sciences (TS)

Material close to SN with a more applied and technological approach, more experimentation and instrument work. It leads to CEGEP technical programs and also gives access to Sciences de la nature at several institutions. A good compromise for a solid student who is more comfortable with the concrete than the abstract.

Sciences naturelles (SN)

The most abstract of the three, oriented toward proof and algebraic modelling. It is the normal route into Sciences de la nature at CEGEP, then into pure science, engineering, health and architecture.

A student placed in CST because of one bad year in Secondary 3 is not there for the right reasons, and that can be repaired. If your child is in CST and still wants the sciences, a few sessions are enough to tell whether the problem is method or a genuine mismatch, and to prepare a move up to TS.

See the SN4 math page →

The CST 4 Ministry examination

The Ministere de l'Education produces a separate paper for each of the three sequences, administered in June to every student in the province. For Secondary 4 mathematics it counts for 50 percent of the final result, the other half coming from the school's grade. A student at 75 percent through the year who scores 55 on the paper finishes at 65.

The paper has three sections. Sections A and B assess command of concepts and procedures, with relatively direct questions where conventional preparation works well. Section C contains application situations: a context of several paragraphs from which the student must extract the mathematical tools themselves, carry the reasoning and write it up so it can be followed.

In CST that section is particularly formidable, because its contexts are the most realistic of the three sequences: a budget, a survey, a development plan, a table of raw data. The student has to decide which statistical measure answers the question, or which family of functions models the situation, before touching a calculator. It is as much a reading task as a mathematical one, and it cannot be improvised the night before.

Effective preparation starts six to eight weeks before: audit the shaky topics, work complete papers under real conditions, and train specifically on reading application situations and writing justifications.

A corrected mock paper, in the Ministry format, in French

A complete paper for the CST sequence, split exactly like the real one: section A in short answers out of 30 points, section B in developed questions out of 30 points, section C in three application situations out of 40 points, all in 150 minutes. The solution names, question by question, the mistake that costs marks and says what the examiner expects to see written.

Take the CST 4 mock paper

See the Ministry examinations page →

From CST 4 to CST 5: a syllabus that changes nature

Unlike SN, where Secondary 5 continues Secondary 4 directly, CST 5 opens chapters that resemble nothing the student has seen: graph theory, financial mathematics, voting procedures, optimisation by linear programming. These are new subjects, often more concrete, and many students breathe easier there than in Secondary 4.

Two things from CST 4 remain indispensable. Systems of equations and drawing lines, because all the linear programming of CST 5 depends on them. And reading a table of data, because the probability block of CST 5 reuses it without re-explaining it. A student who leaves CST 4 shaky on those two points pays for it the following autumn.

That is why I would rather consolidate those two blocks during the CST 4 year than intervene in an emergency the year after, at exactly the moment several CEGEP programs are asking for the CST 5 grade.

See the CST 5 math page →

How the sessions work in CST 4

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We work on interpretation, not only calculation

This is what makes CST distinctive and where the marks are lost. Finding a percentile rank of 48 takes ten seconds; saying what that number means for the student concerned, and not confusing it with their grade, is learned.

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Recognising the family of functions before computing

The syllabus places five side by side: quadratic, exponential, piecewise, step, periodic. The student learns to identify them from a graph or a text, which is exactly what the paper asks.

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Regular follow-up at the pace of the class

We work on what is being taught so no backlog builds, with problems targeted at this student's weak points rather than generic sets.

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Targeted preparation for the June paper

In the weeks before, we work complete papers under real conditions, with specific attention to the section C application situations and to time management.

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Support between sessions, included

The student can message me between sessions with any question. It is part of the rate, at no extra charge.

Frequently asked questions

What is the CST sequence in Secondary 4?

One of the three mathematics sequences offered from Secondary 4, and the most widely taken. It is oriented toward interpreting data, modelling real situations and everyday applications rather than abstract proof. The syllabus covers exponential notation, systems, several families of functions, triangle geometry, analytic geometry and a heavily developed statistics block, and the year ends with a Ministry examination in June.

How much does the CST Ministry examination count for?

50 percent of the final result, the other half from the school's grade. The Ministry produces a separate version for each sequence: a CST student sits a CST paper. A student at 75 percent who scores 55 on the paper finishes at 65.

Does CST close doors at CEGEP?

It closes direct access to Sciences de la nature, which requires TS or SN from Secondary 5. It leaves open social science, arts, letters and many technical programs, several of which require Secondary 5 CST. The exact prerequisite must be checked program by program in the CEGEP's admission guide. Changing sequence later is possible but means bridging courses.

Which topics cause the most difficulty?

The families of functions, because the student must recognise which applies from a graph or a text. Percentile rank and dispersion, where the calculation is simple but everything turns on interpretation. And the application situations of the paper, which require modelling a context before computing anything.

Are there free corrected CST 4 exercises?

Yes, free and complete, solutions included, listed above. Every chapter of the Secondary 4 CST syllabus has its exercise set and its revision sheet, including the chapters shared with the Sciences naturelles sequence. They are written in French, which is the language of the examination.