Grade 5 math practice
Every strand of the Ontario Grade 5 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
7 question sets · 10 questions each, easiest to hardest
Read, represent, compose, and decompose whole numbers up to and including 100 000
Whole Numbers · 30 questions, easiest to hardest
Compare and order whole numbers up to and including 100 000
Whole Numbers · 30 questions, easiest to hardest
Represent equivalent fractions from halves to twelfths, including improper fractions and mixed numbers
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Compare and order fractions from halves to twelfths, including improper fractions and mixed numbers
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Read, represent, compare, and order decimal numbers up to hundredths
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Round decimal numbers to the nearest tenth
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Describe relationships and show equivalences among fractions, decimal numbers up to hundredths, and whole number percents
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Operations
9 question sets · 10 questions each, easiest to hardest
Use properties and relationships between operations to solve multi-step problems involving whole numbers and decimals
Properties and Relationships · 30 questions, easiest to hardest
Recall multiplication facts from 0×0 to 12×12, and related division facts
Math Facts · 30 questions, easiest to hardest
Mental strategies to multiply by 0.1 and 0.01, and estimate sums and differences of decimal numbers up to hundredths
Mental Math · 30 questions, easiest to hardest
Represent and solve addition and subtraction of whole numbers up to 100 000 and decimals up to hundredths
Addition and Subtraction · 30 questions, easiest to hardest
Add and subtract fractions with like denominators
Addition and Subtraction · 30 questions, easiest to hardest
Represent and solve multiplication of 2-digit by 2-digit numbers using the area model and algorithms
Multiplication and Division · 30 questions, easiest to hardest
Represent and solve division of 3-digit by 2-digit numbers using the area model and algorithms
Multiplication and Division · 30 questions, easiest to hardest
Multiply and divide one-digit whole numbers by unit fractions
Multiplication and Division · 30 questions, easiest to hardest
Represent and create equivalent ratios 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
Patterns · 30 questions, easiest to hardest
Create and translate growing and shrinking patterns using tables of values and graphs
Patterns · 30 questions, easiest to hardest
Determine pattern rules and use them to extend patterns, predict, and identify missing elements in repeating, growing, and shrinking patterns
Patterns · 30 questions, easiest to hardest
Create and describe patterns to illustrate relationships among whole numbers and decimal tenths and hundredths
Patterns · 30 questions, easiest to hardest
Equations and Inequalities
4 question sets · 10 questions each, easiest to hardest
Translate among words, algebraic expressions, and visual representations describing equivalent relationships
Variables and Expressions · 30 questions, easiest to hardest
Evaluate algebraic expressions that involve whole numbers
Variables and Expressions · 30 questions, easiest to hardest
Solve equations that involve whole numbers up to 100, and verify solutions
Equalities and Inequalities · 30 questions, easiest to hardest
Solve inequalities that involve one operation and whole numbers up to 50, and verify and graph the solutions
Equalities and Inequalities · 30 questions, easiest to hardest
Coding
2 question sets · 10 questions each, 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
Explain the importance of sampling techniques for collecting a representative sample
Data Collection and Organization · 30 questions, easiest to hardest
Collect data using appropriate sampling techniques, and organize it in relative-frequency tables
Data Collection and Organization · 30 questions, easiest to hardest
Select from a variety of graphs (including stacked-bar 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 (relative-frequency tables, stacked-bar graphs), and incorporating relevant information
Data Visualization · 30 questions, easiest to hardest
Determine the mean and median and identify the mode(s) for data sets involving whole numbers and decimal numbers
Data Analysis · 30 questions, easiest to hardest
Analyse data in stacked-bar graphs and 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 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 an event happening
Probability · 30 questions, easiest to hardest
Geometric and Spatial Reasoning
5 question sets · 10 questions each, easiest to hardest
Identify geometric properties of triangles, and construct different types when given side or angle measurements
Geometric Reasoning · 30 questions, easiest to hardest
Identify and construct congruent triangles, rectangles, and parallelograms
Geometric Reasoning · 30 questions, easiest to hardest
Draw top, front, and side views of objects, and match drawings with objects
Geometric Reasoning · 30 questions, easiest to hardest
Plot and read coordinates in the first quadrant using various scales, and describe translations
Location and Movement · 30 questions, easiest to hardest
Describe and perform translations, reflections, and rotations up to 180° 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
Use appropriate metric units to estimate and measure length, area, mass, and capacity
The Metric System · 30 questions, easiest to hardest
Solve problems converting larger metric units into smaller ones, and describe base ten relationships among metric units
The Metric System · 30 questions, easiest to hardest
Compare angles and determine their relative size by matching and measuring using non-standard units
Angles · 30 questions, easiest to hardest
Explain how protractors work, use them to measure and construct angles up to 180°, and use benchmark angles to estimate the size of other angles
Angles · 30 questions, easiest to hardest
Use area relationships among rectangles, parallelograms, and triangles to develop formulas for the area of a parallelogram and triangle, and solve related problems
Area · 30 questions, easiest to hardest
Show that 2D shapes with the same area can have different perimeters, and solve related problems
Area · 30 questions, easiest to hardest
Money and Finances
6 question sets · 10 questions each, easiest to hardest
Describe several ways money can be transferred among individuals, organizations, and businesses
Money Concepts · 30 questions, easiest to hardest
Estimate and calculate the cost of transactions involving multiple items priced in dollars and cents, including sales tax, using various strategies
Money Concepts · 30 questions, easiest to hardest
Design sample basic budgets to manage finances for various earning and spending scenarios
Financial Management · 30 questions, easiest to hardest
Explain the concepts of credit and debt, and describe how financial decisions may be impacted by each
Financial Management · 30 questions, easiest to hardest
Calculate unit rates for various goods and services, and identify which rates offer the best value
Consumer and Civic Awareness · 30 questions, easiest to hardest
Describe the types of taxes collected by different levels of government in Canada, and explain how tax revenue is used to provide community services
Consumer and Civic Awareness · 30 questions, easiest to hardest
Endless practice
Generated fresh every time — adaptive difficulty, never runs out
Place value to 100 000
Read, represent, and find the value of a digit in whole numbers up to and including 100 000.
Compare and order decimals
Read, compare, and order decimal numbers up to hundredths.
Equivalent fractions and comparing fractions
Represent equivalent fractions and compare/order fractions from halves to twelfths, including improper fractions and mixed numbers.
Add and subtract whole numbers to 100 000
Represent and solve problems involving the addition and subtraction of whole numbers that add up to no more than 100 000.
Add and subtract decimals to hundredths
Represent and solve problems involving the addition and subtraction of decimal numbers up to hundredths, including money contexts.
Add fractions with like denominators
Add fractions with like denominators, giving answers in lowest terms (and as mixed numbers when the sum is improper).
Subtract fractions with like denominators
Subtract fractions with like denominators, including taking a fraction away from a whole, giving answers in lowest terms.
Multiply 2-digit numbers
Multiply two-digit whole numbers by two-digit whole numbers using the area model and the standard algorithm.
Multiply 2-digit numbers: word problems
Represent and solve problems involving the multiplication of two-digit whole numbers by two-digit whole numbers.
Divide 3-digit numbers by 2-digit numbers
Divide three-digit whole numbers by two-digit whole numbers using the area model and the standard algorithm, expressing any remainder appropriately.
Divide 3-digit numbers by 2-digit numbers: word problems
Solve division word problems, including interpreting the remainder by rounding up, rounding down, or reporting it directly.
Number patterns and pattern rules
Determine pattern rules for growing and shrinking whole-number and decimal patterns, and use them to extend patterns and find missing terms.
Evaluate and translate algebraic expressions
Translate among words, algebraic expressions, and visual representations, and evaluate algebraic expressions that involve whole numbers.
Solve one- and two-step equations
Solve equations that involve whole numbers up to 100 and verify the solution.
Mean of a data set
Find the mean (average) of a small data set of whole numbers or one-decimal numbers.
Median and mode of a data set
Sort a data set to find its median, or identify its mode.
Read and interpret a data table
Read a class-survey frequency table and answer questions about totals, differences, and fractions of the whole.
Probability as a fraction
Express the probability of a simple event as a fraction in lowest terms.
Theoretical vs experimental probability
Compare the theoretical probability of an equally-likely spinner event with the experimental probability found from trial results.
Classify triangles
Classify a triangle by its side lengths (scalene, isosceles, equilateral) or by its angle measures (acute, right, obtuse).
Translations on a coordinate grid
Plot a point in the first quadrant and find its new coordinates after a translation.
Area of a parallelogram or triangle
Use the base-times-height relationship to find the area of a parallelogram or triangle, or work backward to find a missing dimension.
Same area, different perimeter
Compare two rectangles that share the same area but have different perimeters.
Volume of a rectangular prism using unit cubes
Find the volume of a rectangular prism built from stacked layers of unit cubes, or work backward to find a missing dimension.
Cost of a purchase with HST
Find the total cost of one or more items after adding 13% HST.
Credit and debt
Track a running credit-card balance through charges and payments to understand how credit and debt work.
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