Grade 11 · MCR3U · Functions
MCR3U Practice Tests: Grade 11 Functions
Preparing for a Grade 11 Functions test? Martian Lab walks you through the unit material first with detailed, simple explanations, then gives you carefully curated practice tests from 20 years of tutoring YRDSB and TDSB students, with step-by-step solutions for every question.
Get startedWhat Martian Lab Includes
- ✓Unit reviews with detailed, simple explanations of every concept before you attempt any questions
- ✓Practice tests curated from 20 years of tutoring YRDSB and TDSB students, organized by unit
- ✓Step-by-step solutions for every question
- ✓Attempt-first model: try the question before seeing the answer
- ✓Covers all seven MCR3U units: functions and transformations, quadratics, discrete functions, trigonometric ratios and functions, exponentials, and rational expressions
- ✓Knowledge, application, thinking, and communication questions matching Ontario test format
- ✓Built with 20 years of Ontario math tutoring experience (Elements of Knowledge)
Why MCR3U Matters
MCR3U (Functions) is one of the most important courses in Ontario's high school math pathway. Your mark in MCR3U determines whether you're prepared for Grade 12 Advanced Functions (MHF4U), Calculus and Vectors (MCV4U), and Data Management (MDM4U). Universities look at your Grade 12 math marks, but Grade 12 math builds directly on what you learn in MCR3U. If your foundations are weak, Grade 12 becomes much harder.
What MCR3U Covers
The Ontario MCR3U curriculum is divided into these major units:
Functions & Transformations
What is a function, domain and range, function notation, the vertical line test, and inverse functions. Then translations, reflections, stretches, and compressions applied to parent functions, and how changing the equation changes the graph.
Quadratic Functions
Standard, factored, and vertex form. Completing the square, the quadratic formula, the discriminant, and maximum and minimum problems.
Discrete Functions
Sequences and series, including arithmetic and geometric sequences, and their sums. Financial applications including compound interest and annuities.
Trigonometric Ratios
Sine, cosine, and tangent ratios. Special angles, the CAST rule, and solving triangles with the sine law and the cosine law.
Trigonometric Functions
Graphs of sine, cosine, and tangent. Amplitude, period, and phase shift, and solving trigonometric equations.
Exponential Functions
Exponential growth and decay, properties of exponential functions, and applications including compound interest.
Rational Expressions
Simplifying, multiplying, and dividing rational expressions, adding and subtracting them over a common denominator, and the restrictions on the variable.
Each unit has a dedicated review on Martian Lab before the practice tests begin.
How Martian Lab Works
Start with a unit review.
Before attempting any questions, go through Martian Lab's unit review: detailed, simple explanations of every concept in the unit. Built so you actually understand the material before you're tested on it.
Pick a practice test by unit.
Our practice tests are organized by unit so you can focus on exactly what your upcoming test covers. Questions are curated from 20 years of tutoring YRDSB and TDSB students.
Attempt each question first.
Work through the problem on your own before seeing the answer.
Reveal the step-by-step solution.
Unlock the full worked solution and compare it to your approach. See exactly where you were right and where you went wrong.
What Makes Martian Lab Different
Unit reviews before practice tests.
Most sites drop you straight into questions. Martian Lab walks you through every concept in the unit first, with detailed, simple explanations built specifically for Ontario students, so you're genuinely prepared before you attempt a single question.
Questions curated from 20 years of tutoring YRDSB and TDSB students.
The practice questions on Martian Lab are curated from 20 years of experience tutoring students in the York Region District School Board (YRDSB) and Toronto District School Board (TDSB). They're calibrated to match the question styles, difficulty levels, and topic coverage of Ontario high school math tests, not generic textbook exercises that don't reflect how your teacher actually tests.
Step-by-step solutions for every question.
Every question has a complete worked solution showing the method, not just the answer. You can see exactly where your approach was right and where it went wrong.
Built for active practice, not passive answer-seeking.
You see the question first and attempt it before the solution is available. This is the study method proven to improve retention and test performance.
Created with 20 years of Ontario math tutoring experience.
Martian Lab was founded by two University of Waterloo mathematics graduates in Computer Science and Financial Analysis and Risk Management, built in partnership with Elements of Knowledge, a math tutoring academy that has helped Ontario students succeed in math since 2005.
Start Practicing
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Get startedLooking for Grade 12? MHF4U (Advanced Functions) and MCV4U (Calculus and Vectors) are available now.