Free 7th Grade Math Worksheets (2024)

This is a comprehensive collection of free printable math worksheets for grade 7 and for pre-algebra, organized by topics such as expressions, integers, one-step equations, rational numbers, multi-step equations, inequalities, speed, time & distance, graphing, slope, ratios, proportions, percent, geometry, and pi. They are randomly generated, printable from your browser, and include the answer key. The worksheets support any seventh grade math program, but go especially well with IXL's 7th grade math curriculum.

The worksheets are randomly generated each time you click on the links below. You can also get a new, different one just by refreshing the page in your browser (press F5).

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, adjust the margins, header, and footer in the Page Setup settings of your browser. Another option is to adjust the "scale" to 95% or 90% in the Print Preview. Some browsers and printers have "Print to fit" option, which will automatically scale the worksheet to fit the printable area.

All worksheets come with an answer key placed on the 2nd page of the file.

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.

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

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)

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

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

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)

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

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

If you wish to have more control on the options such as number of problems or font size or spacing of problems, or range of numbers, just click on these links to use the worksheet generators yourself: