Program of studies

Alberta Grade 7 math worksheets

Free printable worksheets for every outcome in Alberta's Grade 7 math curriculum: number, patterns and relations (patterns), patterns and relations (variables and equations), shape and space (measurement), shape and space (3-d objects and 2-d shapes), shape and space (transformations), statistics and probability (data analysis), statistics and probability (chance and uncertainty). Download any worksheet with its answer key, or make a new version in seconds.

Number

Number 1

Use divisibility tests for 2, 3, 4, 5, 6, 8, 9 and 10 to sort numbers and find factors, explain why each test works, and say why dividing by zero has no answer.

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Test divisibility by 2, 5 and 10Free PDF2 3 4 5Generate
Test divisibility by 3 and 9Free PDF2 3 4 5Generate
Explain why division by zero has no answerFree PDF2 3 4 5Generate

Number 2

Add, subtract, multiply and divide decimals to solve problems, estimating to place the decimal point and using a calculator for longer divisors or multipliers.

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Solve multi-step decimal problems in money and measurementFree PDF2 3 4 5Generate
Divide a number by a decimalFree PDF2 3 4 5Generate
Evaluate multi-step expressions with rational numbersFree PDF2 3 4 5Generate
Estimate decimal calculationsFree PDF2 3 4 5Generate

Number 3

Solve everyday problems with percents between 1% and 100%, moving between percents, fractions and decimals.

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Convert among percents, fractions and decimalsFree PDF2 3 4 5Generate
Find a percent of a quantityFree PDF2 3 4 5Generate
Find the whole given a part and its percentFree PDF2 3 4 5Generate
Find what percent one number is of anotherFree PDF2 3 4 5Generate
Solve discount, markup, tax, tip and commission problemsFree PDF2 3 4 5Generate
Estimate with benchmark percentsFree PDF2 3 4 5Generate

Number 4

Change fractions to terminating or repeating decimals and back, and use patterns to link repeating decimals with the fractions they come from.

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Predict whether a fraction terminates or repeatsFree PDF2 3 4 5Generate
Write a repeating decimal with bar notationFree PDF2 3 4 5Generate
Convert a decimal to a fraction in lowest termsFree PDF2 3 4 5Generate
Recall common fraction and decimal equivalentsFree PDF2 3 4 5Generate

Number 5

Add and subtract positive fractions and mixed numbers with like or unlike denominators, with models, drawings and symbols.

Official wording ↗

Add fractions with unlike denominatorsFree PDF2 3 4 5Generate
Subtract fractions with unlike denominatorsFree PDF2 3 4 5Generate
Add and subtract mixed numbers, unlike denominatorsFree PDF2 3 4 5Generate
Solve word problems adding or subtracting fractionsFree PDF2 3 4 5Generate

Number 6

Add and subtract integers using counters, number lines and symbols, and explain the result.

Official wording ↗

Add integers with the same signFree PDF2 3 4 5Generate
Add integers with opposite signsFree PDF2 3 4 5Generate
Subtract integersFree PDF2 3 4 5Generate

Number 7

Put positive fractions, decimals to thousandths and whole numbers in order, using benchmarks, place value or equivalent forms.

Official wording ↗

Compare and order fractions and decimals togetherFree PDF2 3 4 5Generate
Compare fractions to the benchmarks half and oneFree PDF2 3 4 5Generate
Order a set of decimalsFree PDF2 3 4 5Generate
Find a number between two fractionsFree PDF2 3 4 5Generate

Patterns and Relations (Patterns)

Patterns and Relations (Patterns) 1

Turn a pattern described in words into an equation linking two quantities, and describe such an equation in words.

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Construct a linear function to model a situationFree PDF2 3 4 5Generate
Read an expression as a structure without evaluatingFree PDF2 3 4 5Generate
Write an expression with two operations from a phraseFree PDF2 3 4 5Generate
Write an explicit rule for an arithmetic sequenceFree PDF2 3 4 5Generate

Patterns and Relations (Patterns) 2

Make a table of values from a linear relation, graph it, and use the graph to answer questions and solve problems.

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Graph a proportional relationshipFree PDF2 3 4 5Generate
Read a relationship from the shape of its graphFree PDF2 3 4 5Generate

Patterns and Relations (Variables and Equations)

Patterns and Relations (Variables and Equations) 3

Show with a balance or a drawing that doing the same thing to both sides keeps an equation true, and use that to solve equations.

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Name the property of equality that justifies a stepFree PDF2 3 4 5Generate

Patterns and Relations (Variables and Equations) 4

Tell an expression from an equation, give an example of each, and name the variable, coefficient and constant in them.

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Name the terms, coefficients and factors of an expressionFree PDF2 3 4 5Generate
Distinguish a varying quantity from a fixed unknownFree PDF2 3 4 5Generate

Patterns and Relations (Variables and Equations) 5

Substitute given values for the letters in an expression and work out its value.

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Evaluate a formula with two or more variablesFree PDF2 3 4 5Generate
Evaluate an expression at a negative valueFree PDF2 3 4 5Generate

Patterns and Relations (Variables and Equations) 6

Write and solve one-step equations of the form x + a = b with integers, using models, drawings and symbols.

Official wording ↗

Solve a one-step equation with rational numbersFree PDF2 3 4 5Generate
Subtract integersFree PDF2 3 4 5Generate

Patterns and Relations (Variables and Equations) 7

Write and solve equations such as ax + b = c, ax = b and x/a = b with whole numbers, using models, drawings and symbols.

Official wording ↗

Solve a one-step equation by multiplying or dividingFree PDF2 3 4 5Generate
Write and solve a two-step equation for a word problemFree PDF2 3 4 5Generate

Shape and Space (Measurement)

Shape and Space (Measurement) 1

Relate a circle's radius, diameter and circumference through π, know its central angles total 360°, draw a circle of a given size, and solve circle problems.

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Find the circumference of a circleFree PDF2 3 4 5Generate
Find a radius or diameter from circumference or areaFree PDF2 3 4 5Generate
Name the parts of a circleFree PDF2 3 4 5Generate

Shape and Space (Measurement) 2

Work out why the area formulas for triangles, parallelograms and circles hold, and use them.

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Find the area of a parallelogramFree PDF2 3 4 5Generate
Derive the area of a circle from its circumferenceFree PDF2 3 4 5Generate
Find an unknown height from the area of a triangleFree PDF2 3 4 5Generate

Shape and Space (3-D Objects and 2-D Shapes)

Shape and Space (3-D Objects and 2-D Shapes) 3

Use a compass, ruler and protractor to draw perpendicular and parallel segments, perpendicular bisectors and angle bisectors.

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Worksheets for this outcome are coming.

Shape and Space (Transformations)

Shape and Space (Transformations) 4

Plot and read points with integer coordinates in all four quadrants.

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Worksheets for this outcome are coming.

Shape and Space (Transformations) 5

Translate, rotate and reflect a shape on a coordinate grid in all four quadrants, and describe the move.

Official wording ↗

Translate a figure on the coordinate planeFree PDF2 3 4 5Generate
Reflect a figure across a lineFree PDF2 3 4 5Generate
Rotate a figure about the originFree PDF2 3 4 5Generate
Identify the transformation mapping a figure to its imageFree PDF2 3 4 5Generate
Reflect a point across an axisFree PDF2 3 4 5Generate
Rotate a figure about a point other than the originFree PDF2 3 4 5Generate
Describe a sequence of transformationsFree PDF2 3 4 5Generate

Statistics and Probability (Data Analysis)

Statistics and Probability (Data Analysis) 1

Find the mean, median, mode and range of a data set, and choose which measure best reports it.

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Find the median of an even-sized data setFree PDF2 3 4 5Generate
Find the median of an odd-sized data setFree PDF2 3 4 5Generate
Find the mode of a data setFree PDF2 3 4 5Generate
Find the range of a data setFree PDF2 3 4 5Generate
Compare mean and median under skewFree PDF2 3 4 5Generate

Statistics and Probability (Data Analysis) 2

Show how one extreme value changes the mean, median and mode of a data set.

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Identify an outlier and decide how to treat itFree PDF2 3 4 5Generate
Interpret the mean as levelling outFree PDF2 3 4 5Generate

Statistics and Probability (Data Analysis) 3

Draw, label and read circle graphs to answer questions about data.

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Find what percent one number is of anotherFree PDF2 3 4 5Generate

Statistics and Probability (Chance and Uncertainty)

Statistics and Probability (Chance and Uncertainty) 4

Write a probability as a ratio, a fraction and a percent.

Official wording ↗

Calculate the theoretical probability of a simple eventFree PDF2 3 4 5Generate
Write a ratio in the three standard notationsFree PDF2 3 4 5Generate
Convert among percents, fractions and decimalsFree PDF2 3 4 5Generate
Estimate probability from experimental dataFree PDF2 3 4 5Generate

Statistics and Probability (Chance and Uncertainty) 5

List every outcome of two independent events, up to 36 outcomes, in a table or a tree diagram.

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List the outcomes of a compound eventFree PDF2 3 4 5Generate

Statistics and Probability (Chance and Uncertainty) 6

Run a chance experiment with two independent events and compare the results with the probability worked out from a tree or table.

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Find the probability of a compound eventFree PDF2 3 4 5Generate
Estimate probability from experimental dataFree PDF2 3 4 5Generate
Compare experimental with theoretical probabilityFree PDF2 3 4 5Generate
Estimate a probability by running a simulationFree PDF2 3 4 5Generate
List the outcomes of a compound eventFree PDF2 3 4 5Generate

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