Grade 7 math practice
Every strand of the Ontario Grade 7 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
Represent and compare whole numbers up to and including one billion, including expanded form using powers of ten
Rational Numbers · 30 questions, easiest to hardest
Identify and represent perfect squares, and determine their square roots
Rational Numbers · 30 questions, easiest to hardest
Read, represent, compare, and order rational numbers, including positive and negative fractions and decimal numbers to thousandths
Rational Numbers · 30 questions, easiest to hardest
Use equivalent fractions to simplify fractions, when appropriate
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Generate fractions and decimal numbers between any two quantities
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Round decimal numbers to the nearest tenth, hundredth, or whole number, as applicable
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Convert between fractions, decimal numbers, and percents
Fractions, Decimals, and Percents · 30 questions, easiest to hardest
Operations
10 question sets · 10 questions each, easiest to hardest
Use properties and order of operations, 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 and recall commonly used percents, fractions, and decimal equivalents
Math Facts · 30 questions, easiest to hardest
Use mental math strategies to increase and decrease a whole number by 1%, 5%, 10%, 25%, 50%, and 100%
Mental Math · 30 questions, easiest to hardest
Represent and solve problems involving the addition and subtraction of integers
Addition and Subtraction · 30 questions, easiest to hardest
Add and subtract fractions, including by creating equivalent fractions
Addition and Subtraction · 30 questions, easiest to hardest
Determine the greatest common factor for a variety of whole numbers up to 144, and the lowest common multiple for two and three whole numbers
Multiplication and Division · 30 questions, easiest to hardest
Evaluate and express repeated multiplication of whole numbers using exponential notation
Multiplication and Division · 30 questions, easiest to hardest
Multiply and divide fractions by fractions, using tools
Multiplication and Division · 30 questions, easiest to hardest
Multiply and divide decimal numbers by decimal numbers
Multiplication and Division · 30 questions, easiest to hardest
Identify proportional and non-proportional situations, and apply proportional reasoning to solve problems
Multiplication and Division · 30 questions, easiest to hardest
Patterns and Relationships
4 question sets · 10 questions each, easiest to hardest
Identify and compare repeating, growing, and shrinking patterns, including real-life contexts, and compare linear growing patterns on the basis of constant rates and initial values
Patterns · 30 questions, easiest to hardest
Create and translate repeating, growing, and shrinking patterns involving whole numbers and decimal numbers, using various representations, including algebraic expressions and equations for linear growing patterns
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 involving whole numbers and decimal numbers, and use algebraic representations to solve for unknown values in linear growing patterns
Patterns · 30 questions, easiest to hardest
Create and describe patterns to illustrate relationships among integers
Patterns · 30 questions, easiest to hardest
Equations and Inequalities
4 question sets · 10 questions each, easiest to hardest
Add and subtract 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 numbers
Variables and Expressions · 30 questions, easiest to hardest
Solve equations that involve multiple terms and whole numbers and decimal numbers in various contexts, and verify solutions
Equalities and Inequalities · 30 questions, easiest to hardest
Solve inequalities that involve multiple terms and whole numbers, 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 events influenced by a defined count and/or sub-program and other control structures
Coding Skills · 30 questions, easiest to hardest
Read and alter existing code involving events influenced by a defined count and/or sub-program 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
Explain why percentages are used to represent the distribution of a variable for a population or sample in large sets of data, and provide examples
Data Collection and Organization · 30 questions, easiest to hardest
Collect qualitative data and discrete and continuous quantitative data to answer questions of interest, and organize the sets of data as appropriate, including using percentages
Data Collection and Organization · 30 questions, easiest to hardest
Select from a variety of graphs (including circle 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, circle graphs), and incorporating relevant information
Data Visualization · 30 questions, easiest to hardest
Determine the impact of adding or removing data from a data set on a measure of central tendency, and describe how these changes alter the shape and distribution of the data
Data Analysis · 30 questions, easiest to hardest
Analyse data sets in circle 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
Describe the difference between independent and dependent events, and explain how their probabilities differ, providing examples
Probability · 30 questions, easiest to hardest
Determine and compare the theoretical and experimental probabilities of two independent events happening and of two dependent events happening
Probability · 30 questions, easiest to hardest
Geometric and Spatial Reasoning
4 question sets · 10 questions each, easiest to hardest
Describe and classify cylinders, pyramids, and prisms according to their geometric properties, including plane and rotational symmetry
Geometric Reasoning · 30 questions, easiest to hardest
Draw top, front, side views, as well as perspective views, of objects and physical spaces, using appropriate scales
Geometric Reasoning · 30 questions, easiest to hardest
Perform dilations and describe the similarity between the image and the original shape
Location and Movement · 30 questions, easiest to hardest
Describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results
Location and Movement · 30 questions, easiest to hardest
Measurement
7 question sets · 10 questions each, easiest to hardest
Describe the differences and similarities between volume and capacity, and apply the relationship between millilitres and cubic centimetres to solve problems
The Metric System · 30 questions, easiest to hardest
Solve problems involving perimeter, area, and volume that require converting from one metric unit of measurement to another
The Metric System · 30 questions, easiest to hardest
Use the relationships between the radius, diameter, and circumference of a circle to explain the formula for finding the circumference and to solve related problems
Circles · 30 questions, easiest to hardest
Construct circles when given the radius, diameter, or circumference
Circles · 30 questions, easiest to hardest
Show the relationships between the radius, diameter, and area of a circle, and use these relationships to explain the formula for measuring the area of a circle and to solve related problems
Circles · 30 questions, easiest to hardest
Create and use nets to demonstrate the relationship between the faces of prisms and pyramids, and cylinders, and their surface areas
Volume and Surface Area · 30 questions, easiest to hardest
Show that the volume of a prism or cylinder can be determined by multiplying the area of its base by its height, and apply this relationship to find the area of the base, volume, and height when given two of the three measurements
Volume and Surface Area · 30 questions, easiest to hardest
Money and Finances
6 question sets · 10 questions each, easiest to hardest
Identify and compare exchange rates, and convert foreign currencies to Canadian dollars and vice versa
Money Concepts · 30 questions, easiest to hardest
Identify and describe various reliable sources of information that can help with planning for and reaching a financial goal
Financial Management · 30 questions, easiest to hardest
Create, track, and adjust sample budgets designed to meet longer-term financial goals for various scenarios
Financial Management · 30 questions, easiest to hardest
Identify various societal and personal factors that may influence financial decision making, and describe the effects that each might have
Financial Management · 30 questions, easiest to hardest
Explain how interest rates can impact savings, investments, and the cost of borrowing to pay for goods and services over time
Consumer and Civic Awareness · 30 questions, easiest to hardest
Compare interest rates and fees for different accounts and loans offered by various financial institutions, and determine the best option for different scenarios
Consumer and Civic Awareness · 30 questions, easiest to hardest
Endless practice
Generated fresh every time — adaptive difficulty, never runs out
Perfect squares and square roots
Identify and represent perfect squares, and determine their square roots, in various contexts.
Compare, order, and round rational numbers
Compare and order positive and negative decimal numbers, and round decimal numbers to the nearest tenth, hundredth, or whole number.
Add and subtract integers
Use objects, diagrams, and equations to represent, describe, and solve situations involving the addition and subtraction of integers.
Order of operations with integers
Use the properties and order of operations to evaluate multi-step expressions involving integers.
Multiply fractions
Multiply fractions by fractions and by whole numbers, using tools and models, in various contexts.
Divide fractions
Divide fractions by fractions and by whole numbers, using tools and models, in various contexts.
Percent of a number, and percent increase or decrease
Understand and recall common percent-fraction-decimal equivalents, and use mental math to increase or decrease a number by a percent.
Percent applications: discount, tax, and tip
Solve multi-step problems involving percents, including discounts, HST, and tips, in real-life contexts.
Ratios, rates, and proportional reasoning
Simplify ratios, find equivalent ratios, compute unit rates, and identify proportional situations to solve problems.
Patterns and pattern rules
Determine pattern rules for growing and shrinking patterns, including patterns involving integers, and use algebraic pattern rules to find terms or term numbers.
Simplify algebraic expressions: combine like terms
Add and subtract monomials with a degree of 1 that involve whole numbers, using tools.
Evaluate algebraic expressions
Evaluate algebraic expressions that involve whole numbers and decimal numbers.
Solve two-step equations
Solve equations that involve multiple terms and whole numbers, and verify solutions.
Two-step equations: word problems, decimals, and inequalities
Solve two-step equations involving division, decimal solutions, and negative integers, and solve simple two-step inequalities and verify the solutions.
Circle graphs: find the amount for a sector
Use the percentages shown in a circle graph and the total surveyed to find how many people or items a sector represents.
Circle graphs: degrees of a sector
Find the number of degrees a sector should take up in a circle graph, given the fraction of the group it represents.
Theoretical probability of independent events
Find the probability that two (or three) independent events all happen, by multiplying their individual probabilities.
Probability of dependent events
Find the probability of two events happening one after another without replacement, where the second event's probability depends on the first.
Faces, edges, and vertices of prisms and pyramids
Classify prisms and pyramids by counting their faces, edges, and vertices from the number of sides on the base, including with Euler's formula.
Circumference of a circle
Use circumference = pi * diameter (pi approx. 3.14) to find a circle's circumference from its radius or diameter, or its diameter from its circumference.
Area of a circle
Use area = pi * radius^2 (pi approx. 3.14) to find the area of a circle from its radius or diameter.
Area of a trapezoid
Use area = (a + b)/2 * h to find the area of a trapezoid from its two parallel sides and its height.
Surface area of a cylinder
Use a cylinder's net (two circles plus a rectangle) to find its total surface area, using pi approx. 3.14.
Volume of a prism or cylinder (area of base times height)
Show that volume = area of base * height for prisms and cylinders, and use it to find the volume, base area, or height when given the other two.
Sales tax and discounts
Find a sale price after a discount, a total after 13% HST, or a final price after a discount followed by HST.
Simple interest
Use interest = principal * rate * time to find the interest earned on a savings product or the total balance after that interest is added.
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