Free Math Worksheets
Printable practice worksheets for the Québec secondary mathematics program from Secondary 1 through Secondary 5, for all eight units of AP Calculus AB, for the three CEGEP Science mathematics courses, and for first-year university mathematics — free to download without an account.
Secondary 1 Math
Number sense
- Whole Numbers and the Four Operations10 concepts · 6 pages
- Reading, Writing and Ordering Numbers10 concepts · 7 pages
- Integers and Number Sets9 concepts · 5 pages
- Divisibility, Factors and Multiples11 concepts · 7 pages
- Fractions and Their Notations15 concepts · 9 pages
- Ratios, Rates and Proportions10 concepts · 7 pages
Algebra
Relations and functions
Geometry & measurement
- Angles and Lines11 concepts · 8 pages
- Polygons and Constructions13 concepts · 13 pages
- Perimeter and Area14 concepts · 9 pages
- Solids and Their Nets12 concepts · 7 pages
Data, probability & finance
Secondary 2 Math
Number sense
- Integers and Number Sets11 concepts · 8 pages
- Fractions, Decimals and Percentages6 concepts · 5 pages
- Exponents, Roots, Factors and Multiples10 concepts · 6 pages
- Ratios, Rates and Proportions10 concepts · 7 pages
Algebra
Relations and functions
Geometry & measurement
- Angles, Lines and Polygons11 concepts · 9 pages
- Geometric Constructions11 concepts · 12 pages
- Perimeter and Area of Plane Figures9 concepts · 7 pages
- The Area and Volume of Solids17 concepts · 10 pages
- Missing Measurements and Unit Conversion9 concepts · 6 pages
Data, probability & finance
Secondary 3 Math
Number sense
- Real Numbers and Number Sets14 concepts · 10 pages
- Exponents, Roots and Scientific Notation7 concepts · 5 pages
Algebra
Relations and functions
Geometry & measurement
- Solids and Their Nets13 concepts · 8 pages
- Area of Solids and Plane Figures8 concepts · 6 pages
- Volume of Solids13 concepts · 8 pages
- Missing Measurements, Projections and Lines11 concepts · 11 pages
Data, probability & finance
Secondary 4 Math
Algebra
- Algebraic Expressions16 concepts · 6 pages
- Equations and Inequalities9 concepts · 4 pages
- Linear Algebra2 concepts · 3 pages
Function families
- Quadratic Functions10 concepts · 5 pages
- Step Functions7 concepts · 4 pages
- Exponential Functions6 concepts · 3 pages
- Function Properties and Inverses6 concepts · 3 pages
- Linear Functions6 concepts · 3 pages
- Logarithmic Functions6 concepts · 3 pages
- Square Root Functions6 concepts · 3 pages
Geometry & trigonometry
- Analytic Geometry13 concepts · 6 pages
- Geometry16 concepts · 7 pages
- Trigonometry and Metric Relations10 concepts · 5 pages
Data, probability & finance
Secondary 5 Math
Algebra
- Algebraic Expressions8 concepts · 4 pages
- Equations and Inequalities18 concepts · 7 pages
- Vectors and Matrices15 concepts · 9 pages
Function families
- Quadratic Functions10 concepts · 5 pages
- Rational Functions8 concepts · 5 pages
- Absolute Value Functions7 concepts · 4 pages
- Exponential Functions7 concepts · 4 pages
- Logarithmic Functions7 concepts · 4 pages
- Square Root Functions7 concepts · 4 pages
- Step Functions7 concepts · 4 pages
- Operations on Functions6 concepts · 3 pages
- Function Properties and Inverses5 concepts · 2 pages
- Graph Theory6 concepts · 7 pages
Geometry & trigonometry
- Analytic Geometry16 concepts · 7 pages
- Geometry11 concepts · 5 pages
- Trigonometric Functions28 concepts · 15 pages
Data, probability & finance
CEGEP Calculus I
Limits and continuity
- Limits and Continuity9 concepts · 7 pages
- Limits with Trig, Exp and Log4 concepts · 7 pages
- Indeterminate Forms and L'Hospital's Rule3 concepts · 4 pages
The derivative
- The Derivative5 concepts · 4 pages
- Differentiation Rules6 concepts · 5 pages
- Derivatives of Transcendental Functions5 concepts · 4 pages
Applications of the derivative
CEGEP Calculus II
Integral calculus
- Antiderivatives and the Indefinite Integral5 concepts · 4 pages
- Definite Integral6 concepts · 6 pages
- Techniques of Integration6 concepts · 6 pages
- Improper Integrals and Indeterminate Forms5 concepts · 5 pages
Applications of the integral
- Applications of Integration5 concepts · 4 pages
- Separable Differential Equations4 concepts · 4 pages
Sequences and series
CEGEP Linear Algebra
Matrices and systems
- Matrices and Matrix Algebra6 concepts · 7 pages
- Systems of Linear Equations6 concepts · 6 pages
- The Inverse of a Matrix5 concepts · 6 pages
- Determinants6 concepts · 7 pages
Vectors
Lines and planes
University Calculus III
Space curves and surfaces
- Vector Functions and Space Curves7 concepts · 6 pages
- Functions of Several Variables5 concepts · 7 pages
Differential calculus in several variables
- Partial Derivatives6 concepts · 7 pages
- Directional Derivatives and the Gradient5 concepts · 6 pages
- Optimization in Several Variables6 concepts · 6 pages
Multiple integrals
Vector calculus
University Linear Algebra
Vector spaces
- Vector Spaces and Subspaces6 concepts · 7 pages
- Span and Linear Independence5 concepts · 6 pages
- Basis, Dimension and Coordinates5 concepts · 6 pages
Rank and linear transformations
- Rank and the Fundamental Subspaces6 concepts · 7 pages
- Linear Transformations8 concepts · 8 pages
- Change of Basis and Matrix Representations5 concepts · 7 pages
Eigenvalues and diagonalization
Orthogonality and least squares
University Differential Equations
First-order equations
- Differential Equations and Direction Fields6 concepts · 7 pages
- First-Order Solution Methods7 concepts · 7 pages
- Modelling with First-Order Equations5 concepts · 6 pages
Second-order linear equations
- Constant-Coefficient Linear Equations7 concepts · 7 pages
- Nonhomogeneous and Variable-Coefficient ODEs5 concepts · 6 pages
- Mechanical Vibrations and Electric Circuits5 concepts · 7 pages
Transforms, series and systems
University Business Math
Business functions and finance
Matrices, programming and probability
- Matrices and Input-Output Models7 concepts · 9 pages
- Linear Inequalities and Linear Programming5 concepts · 9 pages
- Counting and Probability6 concepts · 6 pages
Calculus for business
University Introductory Statistics
Describing data and probability
- Descriptive Statistics5 concepts · 5 pages
- Probability Rules and Conditional Probability6 concepts · 7 pages
- Discrete Random Variables6 concepts · 7 pages
- Continuous Distributions and the Normal Model6 concepts · 7 pages
Sampling and estimation
Testing and modelling
University Discrete Math
Logic and proof
- Propositional and Predicate Logic8 concepts · 8 pages
- Methods of Proof6 concepts · 5 pages
- Sets, Functions and Relations8 concepts · 8 pages
Number theory
Induction and counting
- Induction and Recursion5 concepts · 5 pages
- Counting Techniques6 concepts · 6 pages
- Recurrence Relations and Advanced Counting5 concepts · 5 pages
Graphs
AP Calculus AB
Limits
Derivatives
Applications of derivatives
- Rates of Change and Related Rates7 concepts · 7 pages
- Analyzing Functions with Derivatives12 concepts · 7 pages
Integration
Taking a first university calculus or linear algebra course?
Several first-year university courses teach the same material as the CEGEP Science courses, under a university course number. Their free worksheets are the CEGEP sets — find your course code here:
- University Calculus 1 — MATH 139, MATH 140, MATH 203, MAT0343
- University Calculus 2 — MATH 141, MATH 205, MAT0344
- University Linear Algebra and Geometry — MATH 133, MATH 204
How these worksheets are built
Each worksheet takes one topic from the provincial program and works through it in the order the concepts actually build on each other. The questions are on the page as text, so you can read them before deciding whether to print anything, and the PDF is laid out at letter size with working space under each question.
Every sheet is followed by a written explanation of the methods it needs — not a solution set, but the decisions that get you to one: which factoring technique the shape of the expression is asking for, why squaring both sides forces you to check your answers, where the sign flips and why. That is the part most worksheet sites leave out, and it is the reason these pages exist.
The questions are original, and every set is built against the document that defines the course. For Secondary 1 through 3 that is the Québec Education Program and its Progression of Learning, which fix what belongs to each year; for Secondary 4 and 5, the same program together with the ministerial examination, which fixes the style and the difficulty; for AP Calculus AB, the College Board's Course and Exam Description; for the CEGEP courses, the ministry's own competency standards; and for the university courses, which no ministry defines, the course descriptions the Montreal universities publish in their calendars, read together. No example, context or dataset is reused from any of them.