Grade 6 math practice
Every strand of the Ontario Grade 6 curriculum — Number, Algebra, Data, Spatial Sense and Financial Literacy — as unlimited practice with step-by-step solutions. Pick a skill and go; your progress saves on this device.
Number Sense
6 question sets · 10 questions each, easiest to hardest
Read and represent whole numbers up to and including one million
Rational Numbers · 30 questions, easiest to hardest
Read and represent integers, using horizontal and vertical number lines
Rational Numbers · 30 questions, easiest to hardest
Compare and order integers, decimal numbers, and fractions, separately and in combination
Rational Numbers · 30 questions, easiest to hardest
Read, represent, compare, and order decimal numbers up to thousandths
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Round decimal numbers (terminating and repeating) to the nearest tenth, hundredth, or whole number
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Describe relationships and show equivalences among fractions and decimal numbers up to thousandths
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Operations
12 question sets · 10 questions each, easiest to hardest
Use properties and relationships between operations to solve problems involving whole numbers, decimals, fractions, ratios, rates, and percents, including multi-step problems
Properties and Relationships · 30 questions, easiest to hardest
Understand the divisibility rules and use them to determine whether numbers are divisible by 2, 3, 4, 5, 6, 8, 9, and 10
Math Facts · 30 questions, easiest to hardest
Use mental math strategies to calculate percents of whole numbers, including 1%, 5%, 10%, 15%, 25%, and 50%
Mental Math · 30 questions, easiest to hardest
Represent and solve problems involving the addition and subtraction of whole numbers and decimal numbers, using estimation and algorithms
Addition and Subtraction · 30 questions, easiest to hardest
Add and subtract fractions with like and unlike denominators
Addition and Subtraction · 30 questions, easiest to hardest
Represent composite numbers as a product of their prime factors, including through the use of factor trees
Multiplication and Division · 30 questions, easiest to hardest
Represent and solve problems involving the multiplication of three-digit whole numbers by decimal tenths
Multiplication and Division · 30 questions, easiest to hardest
Represent and solve problems involving the division of three-digit whole numbers by decimal tenths
Multiplication and Division · 30 questions, easiest to hardest
Multiply whole numbers by proper fractions
Multiplication and Division · 30 questions, easiest to hardest
Divide whole numbers by proper fractions
Multiplication and Division · 30 questions, easiest to hardest
Represent and solve problems involving the division of decimal numbers up to thousandths by whole numbers up to 10
Multiplication and Division · 30 questions, easiest to hardest
Solve problems involving ratios, including percents and rates
Multiplication and Division · 30 questions, easiest to hardest
Patterns and Relationships
4 question sets · 10 questions each, easiest to hardest
Identify and describe repeating, growing, and shrinking patterns, including real-life contexts, and specify which growing patterns are linear
Patterns · 30 questions, easiest to hardest
Create and translate repeating, growing, and shrinking patterns using tables of values, graphs, and — for linear growing patterns — algebraic expressions and equations
Patterns · 30 questions, easiest to hardest
Determine pattern rules and use them to extend patterns, predict, and identify missing elements, and use algebraic representations of pattern rules to solve for unknown values in linear growing patterns
Patterns · 30 questions, easiest to hardest
Create and describe patterns to illustrate relationships among whole numbers and decimal numbers
Patterns · 30 questions, easiest to hardest
Equations and Inequalities
4 question sets · 10 questions each, easiest to hardest
Add monomials with a degree of 1 that involve whole numbers, using tools
Variables and Expressions · 30 questions, easiest to hardest
Evaluate algebraic expressions that involve whole numbers and decimal tenths
Variables and Expressions · 30 questions, easiest to hardest
Solve equations that involve multiple terms and whole numbers in various contexts, and verify solutions
Equalities and Inequalities · 30 questions, easiest to hardest
Solve inequalities that involve two operations and whole numbers up to 100, and verify and graph the solutions
Equalities and Inequalities · 30 questions, easiest to hardest
Coding
2 question sets · 10 questions each, easiest to hardest
Write and execute efficient code involving conditional statements and other control structures
Coding Skills · 30 questions, easiest to hardest
Read and alter existing code involving conditional statements and other control structures, and describe the effect of changes on outcomes and efficiency
Coding Skills · 30 questions, easiest to hardest
Mathematical Modelling
1 question set · 10 questions each, easiest to hardest
Data Literacy
6 question sets · 10 questions each, easiest to hardest
Describe the difference between discrete and continuous data, and provide examples of each
Data Collection and Organization · 30 questions, easiest to hardest
Collect qualitative data and discrete and continuous quantitative data, and organize it as appropriate, including using intervals
Data Collection and Organization · 30 questions, easiest to hardest
Select from a variety of graphs (including histograms and broken-line graphs) best suited to the data, display with proper sources, titles, labels, and scales, and justify the choice
Data Visualization · 30 questions, easiest to hardest
Create an infographic about a data set, using appropriate representations (tables, histograms, broken-line graphs), and incorporating relevant information
Data Visualization · 30 questions, easiest to hardest
Determine the range as a measure of spread and the measures of central tendency for various data sets, and use this information to compare two or more data sets
Data Analysis · 30 questions, easiest to hardest
Analyse data sets in histograms and broken-line graphs and in misleading graphs, challenge preconceived notions, and make convincing arguments and informed decisions
Data Analysis · 30 questions, easiest to hardest
Probability
2 question sets · 10 questions each, easiest to hardest
Use fractions, decimals, and percents to express the probability of events happening, represent this probability on a probability line, and use it for predictions and informed decisions
Probability · 30 questions, easiest to hardest
Determine and compare the theoretical and experimental probabilities of two independent events happening
Probability · 30 questions, easiest to hardest
Geometric and Spatial Reasoning
4 question sets · 10 questions each, easiest to hardest
Create lists of the geometric properties of various types of quadrilaterals, including properties of diagonals, rotational symmetry, and line symmetry
Geometric Reasoning · 30 questions, easiest to hardest
Construct three-dimensional objects when given their top, front, and side views
Geometric Reasoning · 30 questions, easiest to hardest
Plot and read coordinates in all four quadrants of a Cartesian plane, and describe translations
Location and Movement · 30 questions, easiest to hardest
Describe and perform combinations of translations, reflections, and rotations up to 360° on a grid, and predict the results
Location and Movement · 30 questions, easiest to hardest
Measurement
6 question sets · 10 questions each, easiest to hardest
Measure length, area, mass, and capacity using appropriate metric units, and solve problems converting smaller units to larger and vice versa
The Metric System · 30 questions, easiest to hardest
Use a protractor to measure and construct angles up to 360°, and state the relationship between angles measured clockwise and counterclockwise
Angles · 30 questions, easiest to hardest
Use the properties of supplementary, complementary, opposite, and interior and exterior angles to solve for unknown angle measures
Angles · 30 questions, easiest to hardest
Determine the areas of trapezoids, rhombuses, kites, and composite polygons by decomposing them into shapes with known areas
Area and Surface Area · 30 questions, easiest to hardest
Create and use nets to demonstrate the relationship between the faces of prisms and pyramids and their surface areas
Area and Surface Area · 30 questions, easiest to hardest
Determine the surface areas of prisms and pyramids by calculating the areas of their two-dimensional faces and adding them together
Area and Surface Area · 30 questions, easiest to hardest
Money and Finances
5 question sets · 10 questions each, easiest to hardest
Describe the advantages and disadvantages of various methods of payment
Money Concepts · 30 questions, easiest to hardest
Identify different types of financial goals, including earning and saving goals, and outline key steps in achieving them
Financial Management · 30 questions, easiest to hardest
Identify and describe various factors that may help or interfere with reaching financial goals
Financial Management · 30 questions, easiest to hardest
Explain the concept of interest rates, and identify types of interest rates and fees associated with different accounts and loans
Consumer and Civic Awareness · 30 questions, easiest to hardest
Describe trading, lending, borrowing, and donating as different ways to distribute financial and other resources among individuals and organizations
Consumer and Civic Awareness · 30 questions, easiest to hardest
Endless practice
Generated fresh every time — adaptive difficulty, never runs out
Place value in whole numbers to one million
Read and represent whole numbers up to and including one million, and find the value of a digit.
Integers: represent, compare, and order
Read and represent integers on a number line, compare integers, and solve problems involving integer addition and subtraction in context.
Compare and order decimals and fractions
Compare and order decimal numbers to thousandths and fractions, separately and in combination with integers.
Round decimal numbers
Round decimal numbers, including repeating decimals, to the nearest tenth, hundredth, or whole number.
Fraction-decimal equivalence
Show equivalences between fractions and decimal numbers up to thousandths.
Divisibility rules and prime factorization
Use divisibility rules for 2, 3, 4, 5, 6, 8, 9, and 10, and represent composite numbers as a product of their prime factors.
Order of operations
Use the order of operations to evaluate expressions with brackets and the four operations on whole numbers and decimals.
Add and subtract decimals
Represent and solve problems involving the addition and subtraction of decimal numbers up to thousandths.
Multiply and divide decimals
Multiply and divide decimal numbers, including multiplying three-digit whole numbers by decimal tenths and dividing decimals by whole numbers up to 10.
Fractions: add, subtract, multiply, and divide
Add and subtract fractions with unlike denominators, and multiply and divide whole numbers by proper fractions.
Ratios, rates, and percent
Solve problems involving ratios, rates, and percents, including mental-math strategies for common percents.
Number patterns and algebraic pattern rules
Determine pattern rules for growing and shrinking patterns, represent linear growing patterns algebraically, and solve for unknown values.
Monomials and evaluating algebraic expressions
Add monomials of degree 1, and evaluate algebraic expressions with whole numbers and decimal tenths.
Solve equations and inequalities
Solve equations with multiple terms and solve inequalities with two operations, and verify the solutions.
Read values from a broken-line graph
Read a value from a broken-line graph, or find the change in value between two points on the graph.
Interpret trends and misleading broken-line graphs
Identify the interval of greatest change on a broken-line graph, and recognize how an axis that doesn't start at zero can make a change look bigger than it really is.
Range and measures of central tendency
Find the range, mean, median, or mode of a data set and use it to describe the set.
Probability as a fraction, decimal, or percent
Express the probability of a spinner or bag event as a fraction, decimal, or percent, using the requested form.
Coordinates and quadrants on the Cartesian plane
Identify the quadrant of a plotted point, or state the coordinates of a point described by its distance and direction from the origin.
Translations on the coordinate plane
Find the image of a point after a translation, or describe the translation that maps one point onto another, anywhere on the coordinate plane.
Properties of quadrilaterals
Use a quadrilateral's diagonals and lines of symmetry to answer property questions about squares, rectangles, rhombuses, parallelograms, kites, and trapezoids.
Area of a parallelogram
Find the area of a parallelogram from its base and height, or work backward to find a missing base or height.
Area of a triangle and composite figures
Find the area of a triangle, or decompose a composite figure into a rectangle and a triangle to find its total area.
Planning to reach a savings goal
Work out how many weeks it takes to reach a savings goal, or how much needs to be saved each week to reach it on time.
Simple interest
Calculate simple interest earned on savings or owed on a loan, using interest = principal * rate * time.
Payment methods, exchanging resources, and financial goals
Choose the best payment method for a situation, classify a way of exchanging resources (trading, lending, borrowing, or donating), or identify what helps or hurts a savings goal.
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