Grade 11 math practice
Grade 11 courses (MBF3C, MCF3M, MCR3U, MEL3E): functions, transformations, exponentials, sequences and series, trigonometry, and college/workplace math — unlimited practice with real explanations.
Foundations for College Math (MBF3C)
Data Management · MBF3C
6 question sets · 10 questions each, easiest to hardest
Measures of Central Tendency and Spread
Data Management · 30 questions, easiest to hardest
Data Collection, Sampling, and Bias
Data Management · 30 questions, easiest to hardest
Graphical Representations of Data
Data Management · 30 questions, easiest to hardest
Two-Variable Data and Correlation
Data Management · 30 questions, easiest to hardest
Basic Probability
Data Management · 30 questions, easiest to hardest
Comprehensive Data Analysis Applications
Data Management · 30 questions, easiest to hardest
Geometry Trigonometry · MBF3C
6 question sets · 10 questions each, easiest to hardest
Right Triangle Trigonometry (Primary Ratios)
Geometry Trigonometry · 30 questions, easiest to hardest
Applications of Trigonometry (Indirect Measurement, Elevation/Depression)
Geometry Trigonometry · 30 questions, easiest to hardest
Introduction to Sine Law and Cosine Law (Non-Right Triangles)
Geometry Trigonometry · 30 questions, easiest to hardest
Surface Area and Volume of 3D Objects (Applied/Trades Contexts)
Geometry Trigonometry · 30 questions, easiest to hardest
Composite Shapes and Scale Diagrams
Geometry Trigonometry · 30 questions, easiest to hardest
Comprehensive Geometry/Trig Applications (Construction, Design Projects)
Geometry Trigonometry · 30 questions, easiest to hardest
Mathematical Models · MBF3C
6 question sets · 10 questions each, easiest to hardest
Solving Systems of Linear Equations — Applications
Mathematical Models · 30 questions, easiest to hardest
Quadratic Relations — Vertex Form and Key Features
Mathematical Models · 30 questions, easiest to hardest
Quadratic Applications (Projectile Motion, Area, Revenue)
Mathematical Models · 30 questions, easiest to hardest
Optimization Problems Using Quadratics
Mathematical Models · 30 questions, easiest to hardest
Exponential Growth/Decay Models
Mathematical Models · 30 questions, easiest to hardest
Choosing and Comparing Appropriate Mathematical Models
Mathematical Models · 30 questions, easiest to hardest
Personal Finance · MBF3C
6 question sets · 10 questions each, easiest to hardest
Simple and Compound Interest Calculations
Personal Finance · 30 questions, easiest to hardest
Credit Cards and Loans (Interest, Minimum Payments)
Personal Finance · 30 questions, easiest to hardest
Mortgages and Home Ownership
Personal Finance · 30 questions, easiest to hardest
Renting vs. Owning Comparison
Personal Finance · 30 questions, easiest to hardest
Income, Taxes, and Net Pay
Personal Finance · 30 questions, easiest to hardest
Budgeting for Major Purchases (Cars, Large Expenses)
Personal Finance · 30 questions, easiest to hardest
Endless practice · MBF3C
Generated fresh every time — adaptive difficulty, never runs out
Mean, median, mode, and range
Compute the mean, median, mode, or range of a small one-variable data set.
Probability from a sample space
Determine simple, complement, and compound probabilities from a described sample space, as a reduced fraction.
Sine law — find an angle
Use the sine law to find a missing angle in a triangle given two sides and one angle.
Maximize area with a quadratic model
Use the vertex of a quadratic area model to find the maximum area of a fenced rectangular pen.
Find a percent growth rate from an exponential relation
Given a starting and ending value over time, solve A = A0(1 +- r)^t for the annual percent rate r.
Compound interest with different compounding periods
Find the future value of an investment using A = P(1 + i)^n with a stated compounding frequency.
Annual cost of owning and operating a vehicle
Combine fixed monthly costs and fuel costs to find the total annual cost of owning and operating a vehicle.
Functions & Applications (MCF3M)
Endless practice · MCF3M
Generated fresh every time — adaptive difficulty, never runs out
Exponential growth and decay
Evaluate an exponential growth/decay model A = A0(1 +- p/100)^t for a whole-number result.
Compound interest (annual)
Use A = P(1 + i)^n with annual compounding to find the future value of an investment.
Solve quadratic equations by factoring
Solve a quadratic equation ax^2 + bx + c = 0 by factoring.
Maximum height of a projectile
Use the vertex of a quadratic height model h(t) = -5t^2 + vt + h0 to find a maximum height.
Axis of symmetry from factored form
Find the axis of symmetry of a parabola given its equation in factored form.
Sine law — find a side
Use the sine law to find a missing side in an acute triangle given two angles and one side.
Cosine law — find a side
Use the cosine law to find the third side of an acute triangle given two sides and the included angle.
Evaluate a sine function model
Evaluate a sine function h(x) = a*sin(x) + d0 at a given angle to model a real periodic scenario.
Functions (MCR3U)
Algebraic Expressions · MCR3U
6 question sets · 10 questions each, easiest to hardest
Adding, Subtracting, and Multiplying Polynomials
Algebraic Expressions · 30 questions, easiest to hardest
Common Factoring and Factoring by Grouping
Algebraic Expressions · 30 questions, easiest to hardest
Factoring Trinomials (Simple and Complex)
Algebraic Expressions · 30 questions, easiest to hardest
Factoring Special Cases (Difference of Squares, Perfect Square Trinomials)
Algebraic Expressions · 30 questions, easiest to hardest
Simplifying Rational Expressions (Multiplying/Dividing)
Algebraic Expressions · 30 questions, easiest to hardest
Adding/Subtracting Rational Expressions and Solving Rational Equations
Algebraic Expressions · 30 questions, easiest to hardest
Discrete Functions · MCR3U
6 question sets · 10 questions each, easiest to hardest
Arithmetic Sequences
Discrete Functions · 30 questions, easiest to hardest
Arithmetic Series
Discrete Functions · 30 questions, easiest to hardest
Geometric Sequences
Discrete Functions · 30 questions, easiest to hardest
Geometric Series
Discrete Functions · 30 questions, easiest to hardest
Recursive Sequences and Formulas
Discrete Functions · 30 questions, easiest to hardest
Financial Applications (Annuities)
Discrete Functions · 30 questions, easiest to hardest
Exponential Functions · MCR3U
6 question sets · 10 questions each, easiest to hardest
Exponent Laws (Integer Exponents)
Exponential Functions · 30 questions, easiest to hardest
Rational Exponents (Fractional Exponents, Radicals)
Exponential Functions · 30 questions, easiest to hardest
Graphing Exponential Functions and Transformations
Exponential Functions · 30 questions, easiest to hardest
Solving Exponential Equations
Exponential Functions · 30 questions, easiest to hardest
Exponential Growth and Decay Applications
Exponential Functions · 30 questions, easiest to hardest
Compound Interest and Financial Applications
Exponential Functions · 30 questions, easiest to hardest
Intro Functions · MCR3U
6 question sets · 10 questions each, easiest to hardest
Function Notation and Evaluating Functions
Intro Functions · 30 questions, easiest to hardest
Domain and Range
Intro Functions · 30 questions, easiest to hardest
Transformations of Functions
Intro Functions · 30 questions, easiest to hardest
Inverse Functions
Intro Functions · 30 questions, easiest to hardest
Determining if a Relation is a Function
Intro Functions · 30 questions, easiest to hardest
Combining/Comparing Functions (Piecewise Functions, Average Rate of Change)
Intro Functions · 30 questions, easiest to hardest
Trigonometric Functions · MCR3U
6 question sets · 10 questions each, easiest to hardest
Radian Measure and Angle Conversion
Trigonometric Functions · 30 questions, easiest to hardest
Trigonometric Ratios for Any Angle (Unit Circle, Special Angles, CAST Rule)
Trigonometric Functions · 30 questions, easiest to hardest
Graphing Sine and Cosine Functions
Trigonometric Functions · 30 questions, easiest to hardest
Transformations of Trigonometric Functions
Trigonometric Functions · 30 questions, easiest to hardest
Solving Trigonometric Equations
Trigonometric Functions · 30 questions, easiest to hardest
Applications of Periodic Functions
Trigonometric Functions · 30 questions, easiest to hardest
Endless practice · MCR3U
Generated fresh every time — adaptive difficulty, never runs out
Evaluate function notation
Evaluate f(a) for a linear or quadratic function given in function notation.
Domain and range of a quadratic in vertex form
State the range of a quadratic function given in vertex form y = a(x-h)^2+k.
Transformations of f(x)
Find the image of a known point under a transformation y = a*f(x-h)+k.
Inverse of a linear function
Find the inverse of a linear function f(x) = mx + b.
Maximum/minimum of a quadratic by completing the square
Complete the square to find the maximum or minimum value of a quadratic function.
Simplify rational expressions
Factor and simplify a rational expression by cancelling a common binomial factor.
General term of an arithmetic or geometric sequence
Given the first three terms of an arithmetic or geometric sequence, find a later term.
Recursive sequences
Apply a recursive formula (including a Fibonacci-style two-term recurrence) to generate terms of a sequence.
Sum of an arithmetic or geometric series
Find the sum of the first n terms of an arithmetic or geometric series.
Simple interest, compound interest, and annuities
Solve financial application problems: simple interest, compound interest, and the future value of an annuity.
Simplify expressions with rational exponents
Evaluate a numeric expression with a rational exponent, e.g. 27^(2/3).
Features of an exponential function
Find the y-intercept of y = a*b^x + k and connect it to the horizontal asymptote and range.
Exponential growth and decay word problems
Model percent growth or decay over time and estimate the amount after t periods.
Exact trigonometric ratios from special triangles
Find the exact value of a trig ratio at a special angle (0, 30, 45, 60, 90 degrees) using reference triangles.
Trigonometric identities: Pythagorean and quotient
Use the Pythagorean identity or the quotient identity to find a missing trig ratio for an acute angle.
Sine law and cosine law, including the ambiguous case
Apply the sine law or cosine law to solve a triangle, including recognizing the ambiguous (SSA) case.
Transformations of sine and cosine functions
Find the amplitude, period, or a specific value of a transformed sine or cosine function; at the highest difficulty this is framed as a real-world (Ferris wheel) problem.
Math for Work & Everyday Life (MEL3E)
Endless practice · MEL3E
Generated fresh every time — adaptive difficulty, never runs out
Cost of carrying a credit card balance
Find the interest that builds up on an unpaid credit card balance compounded monthly.
Weekly pay with overtime
Calculate weekly gross pay from an hourly wage, including time-and-a-half overtime past 44 hours.
Gross pay to net pay
Find net (take-home) pay from gross pay given a total deduction rate, and an optional flat deduction.
Best buy — unit price
Compare two package sizes/prices by unit price to find the better deal.
Sale price with HST
Apply a percent discount, then 13% HST on the discounted price, to find the final price.
Currency exchange
Convert an amount between CAD and USD using a stated exchange rate.
Simple interest on savings
Use I = P * r * t to find the balance of a savings account earning simple interest.
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