Free Math Worksheets for Grade 7
This is a comprehensive collection of free printable math worksheets for grade 7 and for prealgebra, organized by topics such as expressions, integers, onestep equations, rational numbers, multistep 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 and prealgebra programs, but have been specifically designed to match Math Mammoth grade 7 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 prealgebra 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
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
Primary Grade Challenge Math by Edward Zaccaro
A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problemsolving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.
Many operations etc.
 Two operations with integers
 Two or three operations with integers
 Simplify expressions (for example −6z + z − 5 or −7v^{3} · v^{2})
 Solve simple equations involving integers
Onestep equations
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
Key to Decimals Workbooks
This is a workbook series by Key Curriculum Press that begins with basic concepts and operations on decimals. Then the books cover realworld uses of decimals in pricing, sports, metrics, calculators, and science.
The set includes books 14.
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
Key to Fractions Workbooks
These workbooks by Key Curriculum Press feature a number of exercises to help your child learn about fractions. Book 1 teaches fraction concepts, Book 2 teaches multiplying and dividing, Book 3 teaches adding and subtracting, and Book 4 teaches mixed numbers. Each book has a practice test at the end.
Scientific notation
 Write numbers in scientific notation  up to 8digit numbers
 Write numbers in scientific notation  up to 12digit numbers
 Write numbers given in scientific notation in normal form  up to 8digit numbers
 Write numbers given in scientific notation in normal form  up to 12digit numbers
Complex fractions
 Simplify complex fractions: either the numerator or the denominator is an integer
 Simplify complex fractions
Equations and inequalities
 Twostep equations  constants and coefficients are nonnegative whole numbers
 Twostep 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
Key to Algebra Workbooks
Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 14 using only integers. Books 57 introduce rational numbers and expressions. Books 810 extend coverage to the real number system.
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)
Real World Algebra by Edward Zaccaro
Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes selflearning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 49 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.
Ratio
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
Key to Percents Workbooks
Key to Percents first emphasizes mental computation and estimation skillssince most work with percents is done without pencil and paper. Then students are taught to solve percent problems using equal fractions and decimal multiplication. Finally, percents are used to solve word problems in a variety of applications. Key to Percents assumes only a knowledge of fraction and decimal computation. Book 1 covers Percent Concepts. Book 2 covers Percents and Fractions. Book 3 covers Percents and Decimals.
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
Key to Geometry Workbooks
Here is a nonintimidating way to prepare students for formal geometry. Key to Geometry workbooks introduce students to a wide range of geometric discoveries as they do stepbystep constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen stepsand are prompted to form their own generalizations. When they finish, students will have been introduced to 134 geometric terms and will be ready to tackle formal proofs.
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:
2nd grade
3rd grade
4th grade
5th grade
6th grade
7th grade
Addition worksheets
Number bonds worksheets
Number Charts
Multiplication worksheets
Division worksheets
Basic operations: addition,
subtraction, multiplication
and division (incl. integers)
Roman numerals
Place value &
scientific notation
Rounding Time (clock)
Customary measuring units
Metric measuring units
Classify quadrilaterals
Area & perimeter of rectangles
Area of triangles & polygons
Coordinate grid, moves, reflections
Circle
US Money
Canadian Money
Australian Money
British Money
European Money
South African Money
Fraction worksheets 1
Fraction worksheets 2
Fraction addition
Comparing fractions
Equivalent fractions
Prime factorization / factors
GCF / LCM
Fraction Calculator
Decimal multiplication
Decimal division
Fraction/Decimal
Rounding decimals
Percent/Decimal
Percentage of a number
Various percentage problems
Exponents
Negative & zero exponents
Order of operations
Square Root
Proportions
Ratio word problems
Order of operations
Variable expressions
Evaluate expressions
Simplify expressions
Linear equations
Linear inequalities
Speed, time & distance
Graphing & slope
Equation calculator
Equation editor