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Free Math Worksheets for Grade 7

These worksheets provide additional calculation practice for nearly all seventh grade math topics. Use them as you need!

The worksheets are generated automatically each time you click on the links below. You can print them directly from your browser window, but first check how it looks like in the "Print Preview".

If the worksheet does not fit the page in the Print Preview, adjust your margins, header, and footer in the Page Setup settings of the browser. Or, adjust the "scale" to 90% or less in the Print Preview. Some browsers may have "Print to fit" option, which will automatically scale the worksheet to be so small as to fit the printable area.

The problem sheets are randomly generated, so you can get a new, different one just by hitting the refresh button on your browser (or F5).

They all come with an answer key; however, you need to click to the answer key page immediately after generating a worksheet, because the answer key also is generated 'on the fly', and won't exist later on, should you come looking for it later.

In seventh grade, students will study pre-algebra topics, such as integer arithmetic, simplifying expressions, the distributive property, and solving equations & inequalities. They continue studying ratio and percent and learn about proportions. Please note that these free worksheets do not cover all 7th grade topics; most notably, they do not include problem solving.


Jump to:

Introduction to algebra

Integers

One-step equations

Rational numbers

Multi-step equations and inequalities

Constant speed, time & distance

Graphing & slope

 

Ratios

Proportions

Percent

Geometry

Circle and Pi



Introduction to algebra

The worksheets in this introductory section correspond with Math Mammoth Grade 7, Chapter 1, and don't involve negative numbers.

Order of operations

Review: expressions with exponents
Solve in the correct order: two or three operations
Solve in the correct order: three or four operations
Solve in the correct order: three or four operations with decimal numbers (round to two decimal digits)


Expressions

Evaluate simple expressions
Write a number expression from a verbal expression
Simplify expressions (by combining like terms; no negative numbers)
Multiply using the distributive property
Factor the expressions
Simplify expressions - no negative numbers (for example 4w + 2w  or  c · 3 · c · c · 7)


Equations

One-step equations with whole numbers (no negative numbers involved)



Integers

Number line graphs and simple inequalities involving integers

Plot an inequality or write the inequality that matches the graph — numbers from −20 to 20
Plot an inequality or write the inequality that matches the graph — numbers from −50 to 50
Plot an inequality or write the inequality that matches the graph — numbers from −100 to 100


Addition and subtraction

Add two integers (-10 to 10)
Add two integers (-30 to 30)
Add three integers
Add four integers
Add integers: missing number (easy)
Add integers: missing number (medium)

Subtract two integers (-10 to 10)
Subtract three integers (-30 to 30)
Subtract integers: missing number
Subtract three integers
Subtract four integers

Mixed addition and subtraction problems (within -20 and 20)
Challenge: mixed addition and subtraction problems: missing numbers

Multiplication & Division

Multiply two integers: easy
Multiply two integers: medium

Simple missing factor problems
Multiply whole tens
Multiply three integers
Multiply four integers

Simple division of integers
Simple division of integers, missing dividend or divisor

Mixed multiplication and division problems


Math Mammoth Integers

A self-teaching worktext for 5th-7th grade that covers integers, addition, subtraction, multiplication, and division of integers, coordinate grid, some graphing, and reflecting figures. The book uses both counters and number line consistently to help students visualize the concepts.

Download ($3.70). Also available as a printed copy.

=> Learn more and see the free samples!

See more topical Math Mammoth books



Many operations etc.

Two operations with integers
Two or three operations with integers

Simplify expressions (for example −6z + z − 5  or  −7v3 · v2)

Solve simple equations involving integers


One-step equations

Solve the simplest equations involving integers

Solve one-step equations involving integers

Rational numbers


Convert decimals to fractions and vice versa

Convert decimals to fractions or mixed numbers (up to millionths)
Convert fractions and mixed numbers into decimals (easy, varied denominators)
Convert proper fractions to decimals (denominators are powers of ten)
Convert fractions & mixed numbers to decimals (denominators powers of ten)
Convert fractions to decimals using long division
Convert fractions to decimals - mixed practice


Decimal Addition and Subtraction

Add two decimals (easy) (includes negative decimals)
Add two decimals (includes negative decimals)
Add three decimals (easy) (includes negative decimals)
Add decimals (challenge) (includes negative decimals)

Subtract decimals (easy)
Subtract decimals (medium)
Subtract decimals (challenge)


Math Mammoth Fractions & Decimals 3

A self-teaching worktext for 6th-7th grade that covers all of decimal arithmetic, using up to six decimal digits, scientific notation, metric system, and all of fraction arithmetic using larger denominators than in lower grades.

Download ($7.00). Also available as a printed copy.

=> Learn more and see the free samples!

See more topical Math Mammoth books



Decimal Multiplication and division

Multiply two decimals — mental math (includes negative decimals)
Multiply three decimals — mental math (includes negative decimals)
Multiply two decimals using the multiplication algorithm (includes negative decimals)

Divide decimals — long division


Fraction addition and subtraction

Add or subtract two fractions - easy
Add or subtract two fractions - medium
Add or subtract a fraction and a mixed number
Add and subtract three like fractions
Add and subtract four like fractions
Add and subtract four like fractions and mixed numbers
Add and subtract three unlike fractions


Fraction multiplication and division

Multiply two fractions
Multiply three fractions
Challenge: multiply four fractions & mixed numbers

Divide fractions
Divide a fraction & a mixed number

Equations with decimals


Scientific notation

Write numbers in scientific notation - up to 8-digit numbers
Write numbers in scientific notation - up to 12-digit numbers

Write numbers given in scientific notation in normal form - up to 8-digit numbers
Write numbers given in scientific notation in normal form - up to 12-digit numbers


Complex fractions

Simplify complex fractions: either the numerator or the denominator is an integer
Simplify complex fractions

Equations and inequalities

Two-step equations - constants and coefficients are non-negative whole numbers
Two-step equations - constants and coefficients may be negative integers

Variable on both sides
Equations with parentheses
Equations: mixed practice
Challenge: the constants and coefficients are "larger" numbers (have a larger absolute value)
Challenge: equations with decimals

Solve very simple inequalities and plot the solution set on a number line
Solve a bit more complex inequalities and plot the solution set
Solve inequalities - easier
Solve inequalities - medium


Constant speed, time, and distance


How far can it go or how long does the trip take 1: using quarter hours
How far can it go or how long does the trip take 2: using twelfths of an hour
How far can it go or how long does the trip take 3: using decimal hours or hours and minutes

Find the average speed: time is given to the fourth of an hour
Find the average speed: time is given to the twelfth of an hour
Find the average speed: problems involve conversion of a time unit

Problems about speed, time, and distance - medium difficulty
Problems about speed, time, and distance - more advanced
Problems about speed, time, and distance - challenge
Problems about speed, time, and distance - advanced challenge

Graphing & Slope


Graph linear equations - easy (slope is a whole number)
Graph linear equations - medium (slope can be a fraction)

Find the slope of the line, either from the graph or from the two given points (slope is a whole number)
Find the slope of the line, either from the graph or from the two given points (slope can be a fraction)

Graph a line with a given slope and point on it (slope is a whole number)
Graph a line with a given slope and point on it (slope may be a fraction)

Ratio

Write a ratio and simplify it
Ratio word problems



Proportions


Easy proportions (can be solved by thinking of equivalent fractions)
Solve proportions (whole numbers)
Solve proportions (decimals)

Simple word problems that involve proportions
Simple word problems that involve proportions and use decimal numbers


Ratios, Proportions, and Problem Solving

A self-teaching worktext for 6th-7th grade that covers ratios, proportions, aspect ratio, scaling, and various kinds of problem solving with the help of a bar (block) model.

Download ($5.00). Also available as a printed copy.

=> Learn more and see the free samples!

See more topical Math Mammoth books



Percent

Change decimals to percents and vice versa
Change decimals to percents — includes percentages more than 100%

Find a percentage of the given number — easy, percents are multiples of ten
Find a percentage of the given number — medium, percents are multiples of five
Find a percentage of the given number — percentages over 100%
Find a percentage of the given number — use a calculator

Find how many percent a number is of another
Find a percentage of a given number OR how many percent a number is of another - easy
Find a percentage of a given number OR how many percent a number is of another - use a calculator


Math Mammoth Percent

A self-teaching worktext for 5th-7th grade that covers percent, percentage of a number, discounts, sales tax, percent of change, and comparisons with percent.

Download $3.20 or Pay What You Want!
Also available as a printed copy.

=> Learn more and see the free samples!

See more topical Math Mammoth books





Geometry

Area - these worksheets are done in the coordinate grid.

Find the area of right triangles, parallelograms, and trapezoids

Find the area of triangles and quadrilaterals
Find the area of quadrilaterals, pentagons, and hexagons

Challenge: find the area of triangles & quadrilaterals (scaling on the grid is from -50 to 50)

Generate worksheets for the area of polygons yourself


Volume & surface area

Since these worksheets below contain images of variable sizes, please first check how the worksheet looks like in print preview before printing. If it doesn't fit, you can either print it scaled (such as at 90%), or make another one by refreshing the worksheet page (F5) until you get one that fits.

Find the volume of a rectangular prism with fractional edge lengths
(halves, thirds, and fourths; the whole number part is max 2)
Find the volume of a rectangular prism with fractional edge lengths
(challenge: fractions up till sixths)

Find the volume or surface area of rectangular prisms (easy)
Find the volume or surface area of rectangular prisms (using decimals)

Problem solving: find the volume/surface area/edge length of cube when surface area or volume is given


Generate worksheets for volume & surface area of rectangular prisms yourself


Circle & Pi


Find the circumference when either radius or diameter is given
Find the area of the circle when either radius or diameter is given
Challenge: calculate diameter/radius/area when circumference is given


Math Mammoth Geometry 2

A self-teaching worktext for 6th-7th grade that covers the area of triangles, parallelograms, and polygons, pi, area of circle, nets, surface area, and volume of common solids.

Download ($5.70). Also available as a printed copy.

=> Learn more and see the free samples!

See more topical Math Mammoth books




Free math worksheets and practice - Adapted Mind

Free algebra and geometry lessons