Ministerial exam · Quebec
Mathematics, Secondary IV, Technical and Scientific option
Ministerial Examination — Mathematics, Secondary IV, Technical and Scientific option (064‑420; 564‑420 in English)
- Grade 10
- 564-406
Dates and details can change. We do our best to keep this page up to date, but check the official sources before relying on it.
- Total time
- 3 h
- Marked questions
- 16
- Parts
- 3
- Counts for
- 50% of the final mark
- Calculator
- Approved models
- Format
- On paper
Secondary 4 Math TS Ministry Exam practice test
The whole exam or the parts you choose, in its own format, on the clock.
The exam in the app
Its parts, and what you can use in each
A question, timed, with the exam’s tools
The marked result, part by part
A practice run of Saskatchewan’s Grade 9 math assessment.
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When
3 sessions this school year: January, June and August.
January 2027 session
- Thursday, January 21, 20279:00 a.m.-12:00 p.m.
June 2027 session
- Friday, June 11, 20279:00 a.m.-12:00 p.m.
August 2027 session
- Tuesday, August 3, 20279:00 a.m.-12:00 p.m.
The dates are Quebec’s own, read on September 28, 2026. See the official schedule (quebec.ca)
What’s on it
3 topics. Algèbre counts most, at 36–48%.
- Algèbre36–48%
- Probabilités et statistique16–28%
- Géométrie32–44%
The skills it tests · 76 skills
- Analyzes a first-degree inequality in two variables
- Analyzes a second-degree inequality in two variables
- Analyzes a situation to be optimized mathematizing the situation using a system of first-degree inequalities in two variables drawing a bounded or unbounded polygon of constraints to represent the situation determining the coordinates of the vertices of the bounded polygon (feasible region)
- Analyzes exponential functions of the form f(x) = a·c^(bx)
- Analyzes greatest-integer functions of the form f(x) = a[b(x – h)] + k
- Analyzes logarithmic functions of the form f(x) = a log_c bx
- Analyzes piecewise functions
- Analyzes second-degree polynomial functions of the form f(x) = (bx)² or f(x) = a(bx)²
- Analyzes sinusoidal functions of the form f(x) = a sin b(x – h) + k or f(x) = a cos b(x – h) + k
- Analyzes square root functions of the form f(x) = a√b(x – h) + k
- Analyzes step functions
- Approximates and interprets the linear correlation coefficient
- Calculates and interprets a slope
- Calculates and interprets the mean deviation
- Calculates and interprets the standard deviation
- Calculates mathematical expectation
- Calculates probabilities, including geometric probabilities, in measurement contexts
- Calculates the area of a triangle given the measure of an angle and the lengths of two sides or given the measures of two angles and the length of one side
- Calculates the distance between two points
- Calculates the probability of outcomes of random experiments related to situations involving arrangements, permutations or combinations
- Compares two-variable distributions
- Constructs an algebraic expression using a register (type) of representation
- Defines or interprets the concept of mathematical expectation (e.g. makes connections between mathematical expectation and weighted mean)
- Defines or interprets the concept of odds/chance (odds for and odds against) (e.g. makes connections between odds and probabilities)
- Defines the concept absolute value in context (e.g. difference between two numbers, distance between two points)
- Demonstrates the congruence or similarity between triangles or finds unknown measurements using minimum conditions
- Describes and interprets the relationship between two variables, if any
- Determines the coordinates of a point of division using a given ratio (including the coordinates of a midpoint)
- Determines the equation of a line parallel or perpendicular to another
- Determines the equation of a line using the slope and a point or using two points
- Determines the minimum conditions required to conclude that triangles are congruent or similar
- Determines the odds for or odds against, depending on the context
- Determines the relative position of two straight lines using their respective slope (intersecting at one point, perpendicular, non-intersecting parallel or coincident)
- Determines values or data by solving equations and inequalities
- Determines, through exploration or deduction, different metric relations associated with plane figures
- Distinguishes between dependent and independent events and quantifies probabilities using fractions, decimals or percentages
- Divides a polynomial by a binomial (with or without a remainder)
- Draws a curve associated with the chosen model
- Estimates the value of the power of an exponential expression with respect to its components: base (between 0 and 1, greater than 1), exponent (positive or negative, integral or fractional)
- Factors by substituting second-degree algebraic identities (perfect square trinomial and difference of two squares)
- Factors polynomials by grouping (including decomposable second-degree trinomials)
- Finds unknown measurements using metric or trigonometric relations
- Finds unknown measurements using the trigonometric ratios sine, cosine and tangent
- Gives a qualitative assessment of a linear correlation
- Interpolates and extrapolates data, if applicable
- Interpolates or extrapolates values using a regression line
- Interpolates or extrapolates values using the functional model best suited to the situation
- Interprets and makes decisions with respect to the odds obtained
- Interprets parameters (multiplicative or additive) and describes the effect of changing their values
- Interprets probabilities and makes appropriate decisions
- Interprets the resulting mathematical expectation and makes appropriate decisions
- Interprets the role of a parameter in an algebraic expression
- Interprets the solution or makes decisions if necessary, depending on the context
- Manipulates algebraic expressions of the functions under study
- Manipulates expressions involving multiplicative parameters
- Manipulates numerical expressions involving logarithms
- Manipulates numerical expressions involving powers (change of base), exponents and radicals (nth root), using their properties
- Models a situation verbally, algebraically, graphically, using a table of values or a scatter plot
- Models two-variable data using a first-degree polynomial function
- Models two-variable data using the functions under study
- Modifies, if necessary, the parameters of a situation to make it fair, attain an objective or optimize a gain or loss
- Recognizes or constructs equivalent algebraic expressions
- Recognizes, depending on the context, different types of probabilities: experimental, theoretical, subjective
- Represents a half-plane graphically and algebraically
- Represents and interprets the inverse of a function
- Represents data using a scatter plot or a double-entry (two-variable) distribution table
- Represents parallel lines and perpendicular lines
- Represents straight lines graphically and algebraically
- Solves a second-degree equation in two variables
- Solves exponential, logarithmic and square root equations and inequalities using the properties of exponents, logarithms and radicals
- Solves second-degree equations and inequalities in one variable
- Solves systems of first-degree equations in two variables
- Uses factorial notation, if necessary
- Validates the solution, with or without technological tools
- Writes numbers in logarithmic notation using the equivalence log_a x = n ⇔ a^n = x
- Writes numbers using radicals or rational exponents
How it’s built
Multiple-choice questions, numerical-response questions and written answers.
- Section A: multiple choice (6)
- Questions
- 6
- Marks
- 24
- Of the marks
- 24%
- Multiple choice
Six multiple-choice questions, 4 points each, on using math concepts and processes.
- Section B: short answer (4)
- Questions
- 4
- Marks
- 16
- Of the marks
- 16%
- Numerical response
Four short-answer questions, 4 points each, with your answers written in the booklet.
- Section C: situations d'application (6)
- Questions
- 6
- Marks
- 60
- Of the marks
- 60%
- Written answers
Six situations where you show your math reasoning clearly: apply concepts, justify, prove, convince, critique or take a position.
How it’s marked
In June, the ministry marks Section A by machine and your school marks Sections B and C. It's out of 100 and counts for 50% of your final result; you need 60% to pass the course.
On the day
- Calculator
- Bring a calculator, graphing or not. One with symbolic algebra (CAS) is allowed only with those functions turned off. Clear its memory before the exam, and don't lend or borrow one.
One paper sitting. A week before, you make a memory aid: one handwritten letter-size sheet, both sides. A student found with a phone or other device gets 0%, and no one may help you, even by clarifying a question. Up to 15 more minutes if you need them.
Getting ready
3 official documents to practise with, and 3 tips.
Official practice
Tips from the people who write it
- Section C is 60% of the mark and rewards clear reasoning: write your justification, not just the answer.
- Make your memory aid a week before: one handwritten letter-size sheet, both sides.
- Check your calculator: graphing is fine, but symbolic algebra (CAS) must be off and the memory cleared.
The mark you need
Your class mark counts for 50% of the final mark, the exam for 50%. Quebec may moderate your class mark before it’s blended.
You need
65% on the exam
With 75% in class, your final mark lands between 37.5% (0 on the exam) and 87.5% (100% on it).
After the exam
- Results
After marking, the Ministry mails you your achievement record, and the results are on your Online Academic Record. Your school mark may be moderated: moved up or down by comparing your group’s school marks with its exam results. If your exam mark is higher than your moderated school mark, only the exam mark counts.
- Re-marking
You can ask for a review within six months of receiving your achievement record, through the person in charge of exams at your school, for a fee. A lower result never replaces your original mark.
- Writing it again
If you fail, or want a better mark, your school may let you retake it at the January, June or August session; you show you’ve worked on it first. Your final mark uses your best result.
- If you miss it
Without a valid reason, ABS goes on your record and you can write at another session. Valid reasons: a serious illness or accident with a medical note, the death of a close relative, a court summons, or an important event approved in advance. Then you write at a later date, or, if that’s impossible, your moderated school mark can stand in (only if it’s a pass and you attended at least 120 class days; never for the August session).
From Final results in Secondary IV and V (Quebec) (quebec.ca) and Administrative Guide for the Certification of Studies and Management of Ministerial Examinations (the edition Quebec links today) (cdn-contenu.quebec.ca), read on October 27, 2026.
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For schools
Questions about this exam
When is the Mathematics, Secondary IV, Technical and Scientific option in 2026–27?
The next sitting is January 21, 2027, 9:00 a.m.-12:00 p.m.. This school year it’s written in January 2027 session, June 2027 session and August 2027 session.
How long is the Mathematics, Secondary IV, Technical and Scientific option?
It takes 3 hours in all, over 3 parts.
How many questions are on the Mathematics, Secondary IV, Technical and Scientific option?
It has 16 marked questions: 6 in Section A: multiple choice (6), 4 in Section B: short answer (4) and 6 in Section C: situations d'application (6).
Can you use a calculator on the Mathematics, Secondary IV, Technical and Scientific option?
Yes, a calculator from the approved list.
How much does the Mathematics, Secondary IV, Technical and Scientific option count?
It’s worth 50% of the final mark in Mathematics, Secondary 4 (Technical and Scientific).
Where can I find practice tests for the Mathematics, Secondary IV, Technical and Scientific option?
MapleMind builds a full practice exam in its format. Start it from this page, free with an account.
Practise for the Mathematics, Secondary IV, Technical and Scientific option
Every skill on the Mathematics, Secondary IV, Technical and Scientific option, taught one at a time, then practised on questions written like the real ones.
