7th Grade Online Math Worksheets

According to the Common Core Standards, in Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.

7th Grade Domains

If you know a particular Common Core Domain that you'd like to practice, you can drill down to it here.

  • Analyze proportional relationships and use them to solve real-world and mathematical problems.
  • Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
  • Use properties of operations to generate equivalent expressions.
  • Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
  • Draw, construct and describe geometrical figures and describe the relationships between them.
  • Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
  • Use random sampling to draw inferences about a population.
  • Draw informal comparative inferences about two populations.
  • Investigate chance processes and develop, use, and evaluate probability models.

All 7th Grade Online Math Worksheets

This is a listing of all our 7th Grade Online Math Worksheets. Newest worksheets are on top!

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Review articles, unit 1: proportional relationships, unit 2: rates and percentages, unit 3: integers: addition and subtraction, unit 4: rational numbers: addition and subtraction, unit 5: negative numbers: multiplication and division, unit 6: expressions, equations, & inequalities, unit 7: statistics and probability, unit 8: scale copies, unit 9: geometry.

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7th Grade Math Worksheets and Study Guides

The big ideas in Seventh Grade Math include developing an understanding of and applying proportional relationships; operations with rational numbers, working with expressions and linear equations and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume and understanding and applying the Pythagorean Theorem.

Math Worksheets and Study Guides Seventh Grade

Data analysis & probability, introduction to probability, organizing data, using probability, expressions & equations, algebraic equations, algebraic inequalities, equations and inequalities, introduction to algebra, introduction to functions, nonlinear functions and set theory, using integers, exploring area and surface area, finding volume, geometric proportions, measurement, perimeter, and circumference, plane figures: closed figure relationships, plane figures: lines and angles, the pythagorean theorem, ratios & proportional relationships, analyzing, graphing and displaying data, applying percents, introduction to percent, the number system, decimal operations, exponents, factors and fractions, fraction operations, numerical proportions, rational and irrational numbers, newpath learning resources are fully aligned to us education standards. select a standard below to view aligned activities for your selected subject and grade:.

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Helping with Math

7th Grade Math Worksheets

In this section, you can view all of our seventh-grade math worksheets and resources. these include common-core aligned, themed and age-specific worksheets. perfect to use in the classroom or homeschooling environment..

  • Kindergarten

We add dozens of new worksheets and materials for math teachers and homeschool parents every month. Below are the latest grade 7 worksheets added to the site.

online math worksheets for grade 7

Understanding Fundamental Counting Principle and Probability of Events 7th Grade Math Worksheets

online math worksheets for grade 7

Solving Area, Volume, and Surface Area of 2D and 3D Objects 7th Grade Math Worksheets

online math worksheets for grade 7

Solving Proportional Relationships Between Two Quantities 7th Grade Math Worksheets

online math worksheets for grade 7

Solving Word Problems Involving Linear Equations and Linear Inequalities 7th Grade Math Worksheets

online math worksheets for grade 7

Understanding Supplementary, Complementary, Vertical and Adjacent Angles 7th Grade Math Worksheets

online math worksheets for grade 7

Converting Rational Numbers to Decimals Using Long Method 7th Grade Math Worksheets

online math worksheets for grade 7

Solving Problems Involving Scale Drawings of Geometric Figures 7th Grade Math Worksheets

online math worksheets for grade 7

Factoring and Expanding Linear Expressions with Rational Coefficients 7th Grade Math Worksheets

online math worksheets for grade 7

Adding and Subtracting Linear Expressions with Rational Coefficients 7th Grade Math Worksheets

online math worksheets for grade 7

Understanding the probabilities of Simple and Compound events 7th Grade Math Worksheets

Grade 7 End of Year Test Student Booklet & Answer Guide

7th Grade End Of Year Test Booklet

Surface Area of Solid Shapes (Shipping/Delivery Themed) Math Worksheets

Surface Area of Solid Shapes (Shipping/Delivery Themed) Math Worksheets

online math worksheets for grade 7

Solving Word Problems Involving Rational Numbers 7th Grade Math Worksheets

online math worksheets for grade 7

Solving word problems associated with Fractions 7th Grade Math Worksheets

online math worksheets for grade 7

Drawing And Describing 2D And 3D Figures 7th Grade Math Worksheets

online math worksheets for grade 7

Understanding Circumference and Area of a Circle 7th Grade Math Worksheets

online math worksheets for grade 7

Measures of Variability (Basketball Themed) Worksheets

online math worksheets for grade 7

Circumference of a Circle (Summer Party Themed) Worksheets

Congruent Shapes (World Tourism Day) Themed Math Worksheets

Congruent Shapes (World Tourism Day) Themed Math Worksheets

Probability Models (Christmas Day Themed) Math Worksheets

Probability Models (Christmas Day Themed) Math Worksheets

7th grade common core aligned learning objectives & standards:.

Learning objectives :

In Grade 7, instructional time should focus on four integral areas: 

(1) begin to create an understanding of and applying proportional relationships; 

(2) developing an understanding of operations with rational numbers algebraic expressions and linear equations ; 

(3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area , surface area, and volume ; and 

(4) figuring out inferences about populations based on samples. 

a. Conceptual skills

  • Learners distinguish proportional relationships from other types of relationships.
  • They exhibit an integrated understanding of numbers, recognize fractions , decimals (e.g. repeating, terminating), and percents as different representations of rational numbers. 
  • They widen the connection of addition, subtraction , multiplication , and division to all rational numbers, in relation to the properties of operations and the relationships between addition and subtraction, and multiplication and division. 
  • They rationalize relationships among two-dimensional figures using scale drawings and informal geometric constructions, and they gain familiarity with the relationships between angles formed by intersecting lines. 

b. Procedural skills

  • Learners in this level expand their understanding of ratios and develop understanding of proportionality to solve single- and multi-step problems. 
  • 7th graders sketch the graph of proportional relationships and relate that to the rate of change , informally as a measure of the steepness of the related line, called the slope.
  • Learners are expected to resume their understanding of area from the previous level, solve problems involving the area and circumference of a circle and surface area of three dimensional objects. 

c. Life skills

  • By applying equality properties, and by making use of negative numbers in terms of everyday contexts (e.g., amounts owed or temperatures below zero), students explicate and interpret the rules for adding, subtracting, multiplying, and dividing with negative numbers. 
  • They use the arithmetic of rational numbers as they formulate expressions and equations in one variable from real-life scenarios and use these equations to solve related problems. 
  • They are expected to apply their understanding of ratios and proportionality to solve a wide variety of percent problems, including those involving discounts, interest, taxes, tips, and percent increase or decrease. 
  • Solve problems about scale drawings by relating corresponding lengths between the objects or by using the fact that relationships of lengths within an object are preserved in similar objects.  
  • They build on their previous work with single data distributions to compare two data distributions and address questions about differences between populations. They begin informal work with random sampling to generate data sets and learn about the importance of representative samples for drawing inferences.
  • Learners work with three-dimensional figures, relating them to two dimensional figures by examining cross-sections. They solve real-world and mathematical problems involving area, surface area, and volume of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.

7 th Grade Math Worksheets

Free, Printable Math Worksheets for at-home Practice

7th Grade Math Worksheets | Thinkster Math

A Parent’s Guide to Seventh Grade Math + Practice Worksheets

Download this informative guide to learn how to best support your seventh grader as they learn and master important seventh grade math concepts.

Free Practice Worksheets

Choose a Grade

Click on a concept below to try a sample question

Ratio & Proportion

Number system.

Printable 7th Grade Math Worksheets | Thinkster Math

Probability

Why 7th grade math worksheets are important.

A stated objective of Common Core State Standards (CCSS) is to standardize academic guidelines nationwide. In other words, what Seventh Graders learn in math in one state should be the same as what students of the same age are learning in another state. The curricula may vary between these two states, but the general concepts behind them are similar. This approach is intended to replace wildly differing guidelines among different states, thus eliminating (in theory) inconsistent test scores and other metrics that gauge student success.

An increased focus on math would seem to include a wider variety of topics and concepts being taught at every grade level, including Seventh Grade. However, CCSS actually calls for fewer topics at each grade level. The Common Core approach (which is clearly influenced by “Singapore Math”—an educational initiative that promotes mastery instead of memorization) goes against many state standards. Many states mandate a “mile-wide, inch-deep” curriculum in which children are taught so much in a relatively short time span, that they aren’t effectively becoming proficient in the concepts they truly need to understand to succeed at the next level. Hence, CCSS works to establish an incredibly thorough foundation not only for the math concepts in future grades, but also toward practical application for a lifetime.

Seventh Grade Math Worksheets | Thinkster Math

How Our Seventh Grade Math Worksheets Reflect Common Core Standards

In Seventh Grade, CCSS recommends that instructional time should focus on four critical skills. Thinkster worksheets for seventh grade have been designed to cater to these skills:

  • Developing understanding of and applying proportional relationships
  • Developing understanding of operations with rational numbers and working with expressions and linear equations
  • Solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume
  • Drawing inferences about populations based on samples

7th Grade Math Worksheets: Critical Areas of Focus

Seventh grade is very much a transition year for math. Much will be expected this year from students—after all, this is middle school, and the level of instruction, as well as the level of expectations, has increased. Yet, seventh graders will also discover that their hard work in previous years has left them well-prepared for this year’s math. For example, the concepts of ratio and unit rates introduced in seventh grade evolve into calculating the constant of proportionality in tables, graphs, equations, and diagrams in seventh. Here are four critical areas of focus, straight from Common Core, that will be emphasized in seventh grade:

Proportional Relationships

As already stated, ratios and proportions are a fluency requirement for seventh grade. Some of the focus will include real-world situations such as tax, discounts, tips, and other percentage problems. Students will solve problems about scale drawings, will graph proportional relationships and learn about slope, and distinguish proportional relationships from other relationships.

Rational Numbers, Expressions and Linear Equations

Students will understand that fractions, decimals, and percentages are different representations of rational numbers. Furthermore, they will extend their mastery of the four basic operations (addition, subtraction, multiplication, and division) to rational and negative numbers as well as expressions and equations involving one variable.

Scale Drawings, Informal Geometric Constructions, and Cross Sections of Twoand Three-Dimensional Shapes

Seventh graders will continue to work with area, including circumference and the surface area of three-dimensional objects. Congruence and similarity are on the horizon in Grade 8, and to prepare for that, students will reason about relationships using scale drawings and informal geometric constructions, as well as the relationship between angles and intersecting lines. They will also work with three-dimensional figures by examining two-dimensional cross sections, and they will solve real-world problems involving area, surface area, and volume.

Drawing Inferences on Populations Based on Samples

Having previously worked on single data distributions in Sixth Grade, seventh graders will compare two data distributions and answer questions about the differences of the populations. Also, they informally will work with random sampling to generate data sets and learn about drawing inferences based on representative samples. Seventh Grade : Introduction, Common Core State Standards Initiative. -->

Seventh Grade Common Core Math Worksheets | Thinkster Math

Overview of Seventh Grade Math Topics

Though they may have seem detailed, the four areas of focus presented in the previous section are more just starting points of what seventh graders can expect during this crucial school year. From those areas, teachers and students will delve into more specific concepts that will prepare kids for eighth grade math and beyond. The five topics presented here, taken directly from CCSS 4 itself, include some details on what kids will be taught in seventh grade.

Common Core 7th Grade Math Worksheets | Thinkster Math

Ratios and Proportional Relationships

• Analyze proportional relationships and use them to solve realworld and mathematical problems. By the end of seventh grade, students will become experts in ratios and proportions. The concepts and activities in store for them include:

  • Computing unit rates of ratios associated with fractions. For example, if you swim 1/4 of mile in 1/10 of an hour, a complex fraction of 1/4 / 1/10 miles, or 2.5 miles, per hour can be computed.
  • Deciding whether two quantities are in a proportional relationship. This can be achieved by testing for equivalent ratios in a table or graphing on a coordinate plane and looking for a straight line through the origin.
  • Identifying the constant proportionality—the unit rate—in tables, graphs, equations, diagrams, verbal descriptions, and word problems.
  • Representing proportional relationships by equations. For example, if the total cost (t) of something is proportional to the number of items purchased (n) at one constant price (p), the relationship between the total cost and the number items can be described as t=pn.
  • Explaining what a point (x,y) on a graph of a proportional relationship means in terms of the situation, especially to the points (0,0) and (1,r) in which r is the unit rate.
  • Using proportional relationship to solve multi-step real-world problems. For example, if you paid $50 at a restaurant, and that total included a 20 percent tip, how much did you just pay for dinner itself before tipping?

Seventh Grade: Introduction, Common Core State Standards Initiative.

The Number System

• Apply and extend previous understandings of operations with fractions. Rational numbers also are emphasized with this topic, and students will understand how the additive property intertwines with this concept. Some areas taught include:

  • Adding and subtracting rational numbers (any number that can be written as a simple fraction, in which the denominator is not 0), and, from students’ understanding of fractions, applying these operations by using a number line.
  • Describing situations in which opposite quantities combine to make 0, which is an additive inverse. For example, spending $50 to pay off a negative account balance of -$50 to reach 0.
  • The knowledge of absolute value is extended: Understanding that p+q as the number located a distance |q| from p in a positive or negative direction (depending on if q was positive or negative).
  • Understanding that subtracting rational numbers is the same as adding the additive inverse. For example, 7 - 4 = 7 + (-4).
  • Dividing and multiplying rational numbers, and understanding that (-1)(-1)=1 and that -(p/q) = (-p)/q = p/(-q).
  • Converting a rational number to a decimal using long division, and the concept of repeating decimals.
  • Solving real-world problems involving rational numbers using the four basic operations.

7th Grade Math Worksheets | Thinkster Math

Expressions and Equations

• Use properties of equations to generate equivalent expressions. Students will apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. Also, they will discover that rewriting an expression or equation in a different form (for example, x + 0.1 = 1.1x is the same as increasing a number by 10 percent and is the same as multiplying by 1.1) can lead them to a better understanding of the problem at hand

• Solve real-life mathematical problems using numeric and algebraic expressions and equations. The algebra continues. Seventh graders will learn to:

  • Solve multi-step word problems with positive and negative rational numbers in any form (fractions, decimals, and whole numbers), and convert between forms when necessary (for example, if a business saw its profits increase by 10 percent in a year, it made 1/10 more money than last year).
  • Solve word problems that lead to equations such as px+q=r or p(x+q)=r, in which p, q, and r are rational numbers. Student s will also learn to compare the algebraic solution to an arithmetic solution and identify the series of operations in each approach—for example, if a rectangle has a perimeter of 30 inches and a length of 10 inches, what is the area?
  • Solve word problems involving inequalities; for example, a word problem that leads to the equation 2x + 5 < 25, so x < 10. Also, seventh graders will graph solution sets for inequalities—for example, if a pizza delivery driver makes $100 a week plus $2 per pizza, a student could graph how many pizzas the driver would need to deliver to make $175

• Draw, construct, and describe geometrical figures and describe the relationship between them. Students will solve problems involving scale drawings of geometric figures, will draw geometric shapes (by hand, with a ruler and compass, and with technology) with given conditions, and will describe two-dimensional figures resulting from slicing three-dimensional figures such as pyramids and rectangular prisms.

• Solve real-life and mathematical problems involving angle measure, area, surface, and volume. Seventh graders will master the formulas for area and circumference of circles and use this knowledge to solve problems. They will also work with different types of angles (supplementary, complementary, vertical, and adjacent) and solve problems involving volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Printable 7th Grade Math Worksheets | Thinkster Math

Statistics and Probability

• Use random sampling to draw inferences about a population. Students will understand that statistics can be used to gain information about a population, and they will also be taught about random sampling. Furthermore, seventh graders will gather data from a random sample to draw inferences about a population with an unknown characteristic. For example, if a classroom has three more girls than boys in it, make an estimate about how many more girls are at the entire school.

• Draw informal comparative inferences about two populations. Simply put, students compare two groups and arrive at conclusions, including inferences based on variability. For example, if one cross country team averages 9-minute miles during practice and a second team averages 10-minute miles, what will happen if a runner logging 7-minute miles switches from the first team to the second?

• Investigate chance processes, and develop, use, and evaluate probability models. Though it may not appear so at first glance, probability nicely ties in to many other topics seventh graders are being taught. Among the concepts explored:

  • Understanding that the probability of an event lies somewhere between 0 and 1— with near 0 being unlikely, around 1/2 as about even odds, and near 1 as likely.
  • Collecting data to approximate the probability of a chance event. For example, rolling a die 300 times and estimating a 6 will come up about, but likely not exactly, 50 times.
  • Developing a model for probability and explaining its results and discrepancies.
  • Using organized lists, tree diagrams, tables, and simulation to arrive at probabilities of compound events. For example, if half of the students in a classroom have brown eyes, what is the probability that if you pick a random eight kids, five will have that eye color?

Surviving Middle School Math

Junior high is a crazy time for many students. Many self-contained middle schools (schools that aren’t K-8) present unique challenges academically and socially. The homework load is greater, the routines are completely different, and kids that seemed so young just a couple years earlier are now ... teenagers. Moreover, 67 percent of middle school teachers feel that math is the toughest subject for students to re-engage in after summer break, and 50 percent added that kids' math skills regress more than any other school subject. Combining these factors creates a situation daunting for students and parents alike. And perhaps nowhere is the challenge more acute than with middle school math. However, there’s no reason why students can’t thrive during these two critical years. What follows are several tips for middle schoolers and their parents to help them through this part of their math education.

Printable 6th Grade Math Worksheets | Thinkster Math

Middle School Study Tips

• Be cool If you have been looking through this guide at the topics you can expect to learn for this school year, you may be understandably intimidated. However, the way Common Core is designed, you will get plenty of instruction, practice, and reinforcement with one concept before moving on.

Furthermore, you will discover that becoming good at a certain topic sets you up to succeed at the next. In many previous math curricula, teachers would move onto the next concept before many students felt they had mastered the last one. With Common Core, you can be confident you’ll be ready for whatever lies ahead.

• Practice When You Are Not Tired The homework loads of many students increase in middle school. However, your math capabilities are better suited for when you are most alert and less tired. Therefore, try to work on math homework in the later afternoon or early evening when you are at your freshest after school. Getting all your homework completed is important, but reading a book for a literature class won’t require the computing power from your brain that math will.

• Read the Question You might encounter math problems that appear intimidating, both on first glance and after you’ve read the question. No need to worry: Almost everything being thrown at you is stuff you have learned or are currently learning. Clear your mind and read the question again. Break down the problem by writing all the given information and relevant numbers. From there, work your way through the question on your path to the answer. Once you master this process, all those intimidating problems won’t seem so frightening.

• Check Your Work One helpful aspect of solving algebraic equations is that checking your work is easy: Simply plug in the answer into the variable of the original problem and do the math. This is a good habit to start with your homework because if you made a mistake, you have time to figure out what went wrong, which will help you all the more in the future. Furthermore, once you are proficient in checking your work accurately and quickly with your homework, you will naturally do the same on tests, possibly (and hopefully!) resulting in better grades because you are catching your mistakes before handing the test in.

• Keywords, Keywords, Keywords! One math strategy you likely learned in elementary school is to look for keywords when solving word problems. Keywords are simply clues within a word problem that guide you toward a solution. This strategy is just as applicable in middle school as it was when you were younger, maybe even more so as you work to solve multi-step problems. Moreover, with new concepts you are learning, a new set of words will be entering your math vocabulary. Look for terms such as save, rate, per, proportion, percentage, and compare in middle school word problems.

• Skip the Calculator You will encounter plenty of math in the coming years (especially in trigonometry and pre-calculus) that will require the use of a calculator. At this level, however, you should know how to perform almost every required operation without technological help. Skipping the calculator and figuring out problems by hand (for example, computing circumference by multiplying by 3.14) keeps your skills sharp, shows the teacher you are taking time to solve problems instead of taking a shortcut, and prepares you for tests on which a calculator isn't allowed.

• Math Everywhere Much of the math you are learning now can extend to rest of your life. Look for opportunities to practice your skills outside of school. For example, if you are watching a football game and see that a quarterback has completed 15 of 24 passes, try converting that number to a fraction and a percentage. Or, figure out what percentage a $5 tip on a $27 haircut is. Your math skills will help your realworld skills that when sharp, will improve your in-school math skills in turn.

• Ask for Help If you find yourself struggling with a specific concept or with math in general, by all means, seek help from your teacher. Educators want you to succeed, and they will do whatever they can to help you do so … but sometimes, you have to ask. Also, don’t be afraid to tell your parents that you are having a rough time. Most adults remember how challenging middle school math was, and your parents can provide encouragement, work with you and your teacher, or explore other options to get the help you need to succeed.

Parent Tips

Parenting a 12, 13, or 14 year old is already quite a task. Navigating middle school math only increases the challenge, as well as your possible level of stress. Arguing with your child about school work is counterproductive, so staying calm and working positively with him or her is essential, no matter how frustrated you may get. The time parents get with their growing children is short enough; you don’t want to spend the middle school years in a constant battle with your kids. Take a deep breath—you will survive math during these years. Here are some tips to keep your sanity along the way:

• Be cool This is sage advice for parents as well as students. The level of math education you and your child encounter in middle school is unlike anything you may have experienced before. Yet, students this age are ready to take their learning to another level the curricula wouldn’t include such content if they weren’t capable. Though there may be bumps along the way, your child can still reach the destination.

Sixth Grade Math Worksheets | Thinkster Math

• Relearn the Math One reason parents are apprehensive to engage their middle schooler with his or her math homework is that they might be a few decades removed from the math itself. Most parents remember how to multiply, but they might not have a clue how to solve two variable inequalities. Middle school math isn’t so difficult that adults can’t relearn the concepts. Many websites are available that describe a variety of math topics, or if you can sneak in 20 minutes here and there, read your student’s textbook (just don’t let your kids catch you!). Once you understand the math a little more, you will be better able to help your child when he or she is struggling.

• Understand Common Core Irrespective of your opinions about Common Core, more than likely, your kids are learning in a curriculum following the standards. Therefore, understanding the goals, guidelines, and structure of CCSS ultimately will help as you support your middle schooler through these years of math. For example, your child may be learning methods and strategies to solve a problem that you have never encountered. Your first inclination might be to dismiss these approaches and not offer any support. However, knowing that Common Core aims to provide multiple methods so that students achieve a well-rounded mastery will give you clarity on why your child is learning something a certain way … and it may inspire you to learn this new strategy as well.

• Drill for Skills Find opportunities for your middle schooler to practice math outside of his or her schoolwork. Challenge your daughter to compute tips. Direct your son to figure out what percentage of a gallon of gas is tax (the tax price is usually on the pump). If you are stuck in traffic or driving to an afterschool activity, rapid-fire some problems and equations, such as converting fractions to decimals. A couple extra minutes here and there keeps kids’ minds actively focused on math skills, which will be sharpened for when they are testing or doing homework.

• Become Involved If you are concerned with how Common Core is being implemented at your school, the amount of homework being given, or anything else in the math classroom, then you should absolutely get involved. Talk to teachers and administrators. Attend committee meetings. Research the subject that has you concerned. Parents naturally will have opinions about the quality of their children’s education. Those opinions can affect dialogue and solutions, but only if you take action. Your middle schooler is working hard to get the best education possible. There’s no reason you shouldn’t do the same for your child.

• Seek Help for Your Child If your middle-schooler is consistently struggling with math, your first step should be to talk to his or her teacher, who can provide guidance on how those struggles can be overcome. From there, another step you might consider is finding outside help your child. Several online resources provide math tutelage, including worksheets and sample tests that conform to Common Core standards. Tutoring might be an option, too. Innovative iPad-based math software has emerged that combines the personalized approach of a tutor with today’s technology. These revolutionary programs also may feature a curriculum based on Common Core, thus ensuring your child’s learning at home is aligned with what he or she is learning at school

Tips for Helping Your Seventh Grader with These Seventh Grade Math Worksheets

In addition to the grade-specific standards it sets forth, Common Core also emphasizes eight “Standards of Mathematical Practice” that teachers at all levels are encouraged to develop in their students. Here are descriptions of these eight practices—designed to improve student performance—and how they apply to middle schoolers:

Seventh Grade Common Core Math Worksheets | Thinkster Math

Make sense of problems and persevere in solving them

Students explain the problem to themselves and determine ways they can reach a solution. Then, they work at the problem until it’s solved. By middle school, for example, many word problems are multi-step, requiring more than one operation on the way to an answer. Students must take care to determine what these steps are, decide what strategies (including correspondences between equations, verbal descriptions, graphs and tables, and looking for regularity and trends) will be necessary to solve the problem, and work toward the solution.

Reason abstractly and quantitatively

Students decontextualize and contextualize problems. By decontextualizing, they break down the problem into anything other than the standard operation. By contextualizing, they apply math into problems that seemingly have none. Middle-schoolers who are decontextualizing may envision a fraction or decimal into unit rates—for example, a student working with the fraction 3/8 might picture three squares across a chessboard—to help solve a problem. Students who are contextualizing might break a polygon into several smaller shapes in order to compute the total area.

Construct viable arguments and critique the reasoning of others

Students use their acquired math knowledge and previous results to explain or critique their work or the work of others, analyzing and using counterexamples as necessary. Most middle-schoolers have already learned how to work with classmates to achieve a goal. Students might be encouraged not only to work with a group to solve a particularly challenging math problem, but also to present and explain their solution to the teacher and the class.

Encourage them to show their work

This suggestion can be read two ways. First, students will be encouraged to show how they arrived at an answer, especially within Common Core. Second, ask your children to show you their homework, particularly the challenging stuff. Explaining how a problem is solved is a basic CCSS tenet, so if your kids can be confident in explaining their work to you, they will carry that confidence into the classroom when the teacher asks for those same explanations.

Model with mathematics

This is just like it sounds: Students use math to solve real-world problems. For example, a national department store chain offers sales either in the form of percentages off retail price and by a flat dollar amount savings (and sometimes both). Middle-schoolers can use their knowledge of ratios and percentages to determine from which sales method they will save more.

Use appropriate tools strategically

Another self-explanatory practice: Students learn and determine which tools are best for the math problem at hand. For older kids, the tools may seem obvious—pencil, paper, calculator, protractor, and so on—but knowing when to use what is important. For example, graph paper can be a big help when solving variable inequalities.

Attend to precision

Students strive to be exact and meticulous—period. The math vocabulary introduced to middle-schoolers rapidly expanding, so students must be precise in their words as well as their numbers. Consider this example: An equation (x=1) is different than an expression (x-1) and an inequality (x>1). Middle-schoolers who know these definitions will have an easier time when working with the corresponding concepts.

Look for and make use of structure

Students will look for patterns and structures within math and apply these discoveries to subsequent problems. Take the equation x +5=10; to get an answer, 5 must be subtracted from both sides. This basic algebraic structure will apply to almost all equations middle-schoolers will encounter, no matter the operation or the number of variables. Once students recognize and master this structure, they will automatically think about both sides of the equation when solving.

Look for and express regularity in repeated reasoning

Students come to realizations—“aha” moments is a good term for these realizations—about the math operations that they are performing and use this knowledge in subsequent problems. For example, middle-schoolers may discover that tipping 15 percent is an easy computation: Figure out 10 percent of the bill, then take half of that and add to get 15 percent. In no time, they will want to figure out the tip when you are at a restaurant. 6 Standards for Mathematical Practice, Common Core State Standards Initiative. -->

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7th Grade Math Worksheets

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Scholastic Teachables (formerly Scholastic Printables) offers more than 200 seventh grade math worksheets that span more than 20 different math skills and more than 30,000 award-winning printables for all grades and subjects. Sign up today and get instant online access to 7th grade math worksheets, plus lesson plans, practice pages, and more to cover all the necessary math skills. Learn why thousands of teachers have chosen Scholastic to be their teaching resource.

Scholastic's 7th Grade Math Worksheets Cover:

  • Charts and Graphs
  • Data Analysis
  • Inequalities
  • Logic and Problem Solving
  • Measures of Central Tendency
  • Multiplication and Division
  • Percent, Proportions, Rates, and Ratios
  • Permutations
  • Probability and Statistics
  • Ratio, Proportion, and Scale
  • Real-World Math
  • Simulations
  • Word Problems

Sample 7th Grade Math Worksheets

Scholastic Teachables’ hundreds of printable 7th grade math worksheets are targeted for all your teaching needs. Plus, you’ll get access to more than 30,000 award-winning printables and leveled learning collections in reading and math to reach every learner. Scholastic publishes new worksheets each month to keep your courses fresh, exciting, and up-to-date. Spend more time focusing on your courses and less time on preparing materials—simply find it, print it, teach it!

Here's a sample of seventh grade activities and worksheets for you to try in your class— FREE  with a 30-day trial or subscription.

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Letter Yy: Alphabet Letter and Picture (Full-Color Reference)

Speedy Work - Alphabet Recognition (Practice Page)

Pocket-Folder Center: Cereal on Sale! (Alphabetical order)

Alphabet Rhyme: Handwriting Practice Page

Dictionary Skills: Alphabetical Order (Practice Page)

Lowercase c: Alphabet Learning Mats

Uppercase D: Alphabet Learning Mats

Letter M: Letter Formation Practice

Manuscript Alphabet: Handwriting Practice Page

Big Birthday Bash!: Identifying Upper- and Lowercase B

Cursive Writing Practice: The Alphabet (Lowercase)

Alphabet Clouds: Beginning Reader Science Play

Alphabet Activator: Kick-Off Assessment for Differentiated Lessons

Letter Ll Illustrations

Check It Out!: Identifying Upper- and Lowercase L

The King's Castle: Identifying Upper- and Lowercase C

Eggs Everywhere!: Identifying Upper- and Lowercase E

Trace and Race (Recognizing Features of Letters): Alphabet Shoe Box

Free Printable Math Worksheets for 7th Grade

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Math worksheets for Grade 7 are an essential tool for teachers looking to engage their students in the world of mathematics. These worksheets offer a wide range of topics, including algebra, geometry, probability, and statistics, ensuring that students are exposed to a comprehensive curriculum. By incorporating these worksheets into their lesson plans, teachers can provide their students with the opportunity to practice and hone their skills, while also assessing their understanding of key concepts. Furthermore, these Grade 7 math worksheets can be easily adapted to suit the needs of individual students, making them an invaluable resource for educators looking to differentiate their instruction and cater to diverse learning styles. In short, Math worksheets for Grade 7 are a must-have for any teacher looking to provide their students with a solid foundation in mathematics.

Quizizz is an innovative platform that offers a variety of resources for teachers, including math worksheets for Grade 7 students. This platform allows educators to create engaging quizzes and interactive lessons, which can be easily shared with their students. In addition to the vast library of Grade 7 math worksheets, Quizizz also offers a range of other educational resources, such as flashcards, games, and study guides, making it a one-stop-shop for teachers looking to enhance their instructional materials. The platform's user-friendly interface and customizable features make it easy for teachers to create and adapt content to suit their students' needs, ensuring that each learner receives the support they require. By incorporating Quizizz into their teaching repertoire, educators can not only provide their Grade 7 students with high-quality math worksheets but also access a wealth of additional resources to support their students' learning journey.

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Common core math, math worksheet generators, printable game generators, seventh grade (grade 7) math worksheets, tests, and activities.

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Arithmetic and Number Concepts

  • Adding and Subtracting Rational Numbers
  • Grade 7 Number System Review
  • Percent Problems: Markups and Markdowns
  • Percent Problems: Tips & Commission
  • Problem Solving with Negative Numbers
  • Understanding Opposite Quantities
  • Converting Rational Numbers to Decimals
  • Number Properties
  • Percent Problems: Sales Tax
  • Rational Number Word Problems
  • Word Problems with Negative Numbers

Function and Algebra Concepts

  • Converting Between Percents and Decimals
  • Factoring Linear Expressions
  • Modeling Equations with Algebra Tiles
  • One-Step Algebraic Equations
  • Percent Change
  • Solving Two-Step Equations - Practice #2
  • Understanding Operations with Negative Numbers
  • Expanding Linear Expressions
  • Multi-Step Algebraic Equations
  • Percent Problems: Simple Interest
  • Properties of Operations
  • Solving Two-Step Equations - Practice #1
  • The Distributive Property

Geometry and Measurement

  • Area of Circles - Complex & Inscribed Figures
  • Areas of Quadrilaterals
  • Complementary and Supplementary Angles
  • Decomposing Solid Figures
  • Geometric Solids
  • Scale Factors
  • Areas of Circles
  • Cross-Sections of Three-Dimensional Figures
  • Drawing Triangles
  • Grade 7 Geometry Review
  • Vertical Angles

Middle School Math

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online math worksheets for grade 7

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Grade 7 And Grade 8 Math

Related Pages Common Core Math Lessons & Worksheets Grade 7 Common Core Math Lessons & Worksheets Grade 8 Common Core Math Grade 7 Common Core Math Grade 8 Free Math Worksheets According To Grades

Looking for lessons, videos, games, activities and worksheets that are suitable for 7th Grade and 8th Grade Math? Here’s the place to start.

These compilations of lessons suitable for 7th Grade and 8th Grade include Integers, Exponents and Roots, Algebra, Rational and Irrational Numbers, Absolute Values, Scientific Notation, Transformation, Percents, Linear Functions, Linear Inequalities, Geometry, Trigonometry, Construction, Probability, and Statistics.

What are Integers? Integers on a Number Line Compare & Ordering Integers Opposites & Absolute Value of Integers Compare Absolute Value of Integers Add Integers using the Number Line Add & Subtract Integers using Zero Pairs Add Integers using Rules I Add Integers using Rules II Add Integers Rules (Rap & Song) Subtract Integers using the Number Line Subtract Integers by Adding the Opposite Multiply Integers Divide Integers

Add Integers, 2 operands Add Integers, 3 or more operands Subtract Integers, 2 operands Subtract Integers, 3 or more operands Multiply Integers Divide Integers

Add Integers, 2 Digits Subtract Integers, 2 Digits Multiply Integers, 2 Digits Divide Integers, 2 Digits in Divisor Integer Operations: Mixed Integer Operations: Customized

Orbit Integers: Addition Game Up to 4 players Integer Warp, Multiplication Game Integers Jeopardy Game Integer Practice More Integer Games

Exponents And Roots

Introduction to Exponents Exponents with Negative Bases Exponents with Fractional Bases Positive, Zero and Negative Exponents Squares & Square Roots 1 Squares & Square Roots 2 Square Roots of Perfect Squares Estimating Square Roots Positive and Negative Square Roots Perfect Cubes and Cube Roots

Exponent Rules Exponential Rules Exponents: Product Rule 1 Exponents: Product Rule 2 Exponents: Quotient Rule 1 Exponents: Quotient Rule 2 Exponents: Power Rule 1 Exponents: Power Rule 2 Rules for Negative Exponents Examples using Exponents 1 Examples using Exponents 2 Evaluating Expressions

Squares: Exponent = 2 Cubes: Exponent = 3 Exponents (dynamic)

Exponents: Comparison Game Alien Powers: Squares, Cubes

Squares & Cubes (whole number, fraction & decimal bases) Squares & square roots Cubes & cube roots

Whole number exponents Negative whole number exponents Unit fraction exponents (positive or negative) Fractional exponents (positive or negative)

Simplify square roots Rationalize denominators

Rational And Irrational Numbers

What are Rational Numbers? Comparing & Ordering Rational Numbers Adding & Subtracting Rational Numbers Multiplying & Dividing Rational Numbers Rational vs Irrational Numbers Rational & Irrational Numbers Games

Absolute Value

Absolute Value 1 Absolute Value 2 Absolute Value 3 Absolute Value Games

Scientific Notation

Scientific Notation to Standard Notation Standard Notation to Scientific Notation Operations on Numbers in Scientific Notation 1 Operations on Numbers in Scientific Notation 2 Add & Subtract Numbers in Scientific Notation Using a Calculator for Scientific Notation Examples using Scientific Notation

Scientific to Standard Notation Standard to Scientific Notation Multiply Scientific Numbers Divide Scientific Numbers Add & Subtract Scientific Numbers

Changing Percents to Decimals Changing Decimals to Percents Percents, Decimals and Fractions Percent of a Number Percent Increase and Decrease 1 Percent Increase and Decrease 2 Percent Increase and Decrease 3 Percent Word Problems 1 Percent Word Problems 2 Percent Word Problems 3 Percent Word Problems: Taxes Percent Word Problems: Discounts Percent Word Problems: Simple Interest 1 Percent Word Problems: Simple Interest 2 Percent Word Problems: Simple Interest 3

Percent of a Number Percent: X is what % of Y Percent: X is Y% of what Percent Word Problems 1 Percent Word Problems 2

How to Identify the parts of an Algebraic Expression How Write an Algebraic Expression Evaluating Algebraic Expressions 1 Evaluating Algebraic Expressions 2 Evaluating Algebraic Expressions 3 Simplifying Algebraic Expressions 1 Simplifying Algebraic Expressions 2 Algebraic Expressions and Word Problems

Solve One-Step Equations Solve Two-Step Equations Solve Equations by Combining Like Terms Distributive Property in Algebra Solve Multi-Step Equations 1 Solve Multi-Step Equations 2 Solve Multi-Step Equations with variables on both sides 1 Solve Multi-Step Equations with variables on both sides 2 Solve Equations with Decimals 1 Solve Equations with Decimals 2 Solve Equations with Fractions Solve Equations with Absolute Value 1 Solve Equations with Absolute Value 2 Absolute value equations: algebraic & graphical solutions Translate Words to Equations 1 Translate Words to Equations 2 One-Step & Two-Step Word Problems Multi-Step Word Problems Linear equations in one variable Linear equations with fractions and decimals Linear Equations with Infinitely Many or No Solutions

Solve One-Step Equations Solve Two-Step Equations Solve Equations by Combining Like Terms Solve Equations with the Variable on Both Sides Solve Equations by Distributive Property Solve Multi-Step Equations

Solve 1-step equations (addition & subtraction) Solve 1-step equations (multiplication & division) Solve 1-step equations (all operations) Solve 1-step equations (negative numbers) Solve 1-step equations (decimals)

Solve 2-step equations (positive answers) Solve 2-step equations (negative answers) Solve 2-step equations (fraction answers) Solve 2-step equations (with fractions) Solve 2-step equations (with decimals)

Solve linear equations (1-step equations) Solve linear equations (2-step equations) Solve linear equations (combine like terms) Solve linear equations (distributive property & combine like terms) Solve linear equations (fractions)

Solve 1-step inequalities (addition & subtraction) Solve 1-step inequalities (multiplication & division) Solve 1-step inequalities (all operations)

Factoring Trinomials (a = 1) Factoring Trinomials (a > 1)

Algebraic Expressions with 1 Variable (positive numbers) Algebraic Expressions with 1 Variable (integers) Algebraic Expressions with 2 Variables (positive numbers) Algebraic Expressions with 2 Variables (integers)

Linear Functions

Identify Linear Functions Identify Non-Linear Functions Quadrants & Coordinates Plotting Ordered Pairs Graphing Lines by Plotting Points 1 Graphing Lines by Plotting Points 2 Graphing Horizontal & Vertical Lines Graphing Lines using the x- & y-intercept 1 Graphing Lines using the x- & y-intercept 2 Find the Slope of a Line 1 Find the Slope of a Line 2 Find the Slope given Two Points Find the Slope of a Line given the Equation Standard form to slope-intercept form Graphing Lines by Slope Intercept Method 1 Graphing Lines by Slope Intercept Method 2 Find the equation of a line using the Point Slope Form 1 Find the equation of a line using the Point Slope Form 2 Find the equation of a line using the Point Slope Form 3 Graphing Linear Equations I Graphing Linear Equations II Solving Linear Equations

Quadrants and Coordinates Slope of a Line Slope and Intercept of a Line Midpoint Formula Midpoint Formula 2 Distance Formula Distance Formula 2 Linear Function Games

Linear Inequalities

Introduction to Linear Inequalities Inequalities on a Number Line Solve Inequalities by Adding or Subtracting Solve by Multiplying or Dividing 1 Solve by Multiplying or Dividing 2 One-Step Inequalities Two-Step Inequalities Multi-Step Inequalities Solve Linear Inequalities 1 Solve Linear Inequalities 2 Solve Linear Inequalities 3 Solve Inequalities with Fractions Solve Inequalities with Variables on both sides Solve and Graph Linear Inequalities on a number line Solve Compound Inequalities 1 Solve Compound Inequalities 2 Solve Compound Inequalities 3

Triangle Inequality 45-45-90° Triangles 30-60-90° Triangles I 30-60-90° Triangles II Special Right Triangles: 45-45-90, 30-60-90 Special Right Triangles: 45-45-90, 30-60-90 Special Right Triangles: 45-45-90, 30-60-90, 3-4-5 Special Right Triangles: 45-45-90, 30-60-90, 3-4-5 Pythagorean Theorem 1 Pythagorean Theorem 2 Pythagorean Theorem 3 Converse of the Pythagorean Theorem 1 Converse of the Pythagorean Theorem 2 Pythagorean Theorem Rap Geometric Proof of the Pythagorean Theorem Distance Formula using the Pythagorean Theorem 1 Distance Formula using the Pythagorean Theorem 2

Find the missing side Test for right triangle Pythagorean Theorem Distance Formula Pythagorean Theorem Games

Angles And Transversals

Complementary and Supplementary Angles Adjacent and Vertical Angles Corresponding Angles Alternate Interior Angles Co-Interior Angles Corresponding and Alternate Angles Problems involving Parallel Lines and Transversal

Complementary Angles Worksheets Supplementary Angles Worksheets Angles Jeopardy Game Angles Review Game

Area of a Circle Circumference of a Circle Find radius of a circle given circumference Circle Worksheets Circle Games

Area Of Composite Figures

Area of Composite Figures 1 Area of Composite Figures 2 Area of Composite Figures 3 Area of Composite Figures 4 Area of Shaded Regions Area Games

Volumes Of Solids

Identifying Solid Shapes Volume of a Cube Volume of Rectangular Prisms Volume of Triangular Prisms Volume of Prisms Volume of Prisms: Examples Volume of a Cylinder 1 Volume of a Cylinder 2 Volume of a Cone Volume of a Pyramid Volume of a Sphere

Volume Worksheets Volume of Cylinder Volume of Sphere Volume of Prism & Pyramid Volume Games

Surface Areas

Surface Area of Cube Surface Area of Rectangular Prism Surface Area of Triangular Prism Surface Area of Cylinder 1 Surface Area of Cylinder 2 Surface Area of Cone Surface Area of Pyramid Effect of Changing Dimensions on Surface Areas Surface Area of Sphere Composite Solids (Prisms, Cones, Spheres, Pyramids) Surface Area of Similar Figures Nets of 3-Dimensional Shapes

Surface Area of Cylinder Surface Area of Cylinder Word Problems Surface Area of Sphere Surface Area of Cylinder & Sphere Surface Area of Solids 1 Surface Area of Solids 2 Surface Area of Solids 3 Surface Area of Solids 4 Surface Area of Solids 5 Surface Area Games

Surface Area and Volume of Cube Surface Area & Volume of Cuboid Surface Area & Volume of Rectangular Prism Volume and Surface Area of Cylinder Volume and Surface Area of Sphere Volume & Surface Area of Square Pyramid Volume and Surface Area of Cone

Congruence And Similarity

What is Congruence? Congruent & Similar Figures Congruence Games

Similar Triangles And Polygons

Properties of Similar Polygons Properties of Similar Triangles 1 Properties of Similar Triangles 2 Find Missing Sides and Angles of Similar Triangles 1 Find Missing Sides and Angles of Similar Triangles 2 Solving Problems using Similar Triangles 1 Solving Problems using Similar Triangles 2 Proving Triangles are Similar 1 Proving Triangles are Similar 2 Similarity, Area and Volume Scale Factor, Perimeter and Area of Similar Figures Indirect Measurement Using Similar Triangles

Constructions

Copy a Line Segment Construct Congruent Angles Construct Perpendicular Bisector Construct Angle Bisector Construct Parallel Lines Construct Perpendicular through a Point on a Line Construct Perpendicular through a Point not on a Line

Transformation

Geometric Transformation Reflection Rotation Translation Reflection in the Coordinate Plane Rotation in the Coordinate Plane Translation in the Coordinate Plane Transformation Games

Probability

Theoretical Probability 2 Theoretical Probability 2 Experimental Probability Experimental &Theoretical Probability 1 Experimental & Theoretical Probability 2 Complementary Events Mutually Exclusive Events Independent Events Dependent Events Independent & Dependent Events Geometric Probability Probability Lesson Summary

Probability Problems Complementary Probability Probability Problems Probability & Geometry Mutually Exclusive Probability Independent Events Probability Dependent Events Probability Probability Games

Mean, Median, Mode & Range Line Graphs Bar Graphs Circle Graphs (Pie Charts) Pictographs Stem and Leaf Plots Frequency Tables Interpreting Line Graphs Interpreting Circle Graphs Mean, Median, Mode & Range of Bar Graphs, Line Graphs Double Bar Graphs Histograms Line Plots Box and Whisker Plots I Box and Whisker Plots 2 Scatter Plot and Line of Best Fit Scatter Plots and Correlations Statistics Games

Mode Median Mean Range Mean, Median and Mode 1 Mean, Median and Mode 2 Find the possible values for the Median Given the Mean, find the missing number(s) in a set Word problems that involve the Mean I Word problems that involve the Mean 2

Miscellaneous Math Games

Algebra Games Solving Equations, Factoring Integer Games: Number Line, Comparison, Basic Operations Perimeter, Area and Volume Games Probability Games Transformation Games: Types of Transformations, etc

Mathway Calculator Widget

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Curriculum - Grade 7

Learn and practice topics in grade 7 math such as integer operations including multiplication and division, algebra including addition and subtraction of polynomials, solving linear equations, properties of sides and angles in a triangle, areas of triangles and circles, pythagoras theorem..

Curriculum

Each topic is split into smaller skills, and students master these skills by learning and practicing through interactive activities and worksheets. Interactive quizzes are assigned to students at the end of every topic to assess the level of understanding.

  • Practicing Integer Operations (Addition & Subtraction) - II
  • Properties of Addition of Integers
  • Properties of Subtraction of Integers
  • Multiplication of Integers
  • Division of Integers
  • Properties of Multiplication of Integers
  • Properties of Division of Integers
  • Multiplying a fraction by a whole number - II
  • Multiplying two fractions - II
  • Reciprocal of a fraction
  • Dividing a fraction by a number
  • Dividing a number by a fraction
  • Dividing a fraction by a fraction
  • Multiply decimal number by whole number
  • Multiply two decimal numbers
  • Dividing a decimal fraction by a whole number
  • Dividing a decimal fraction by a decimal fraction
  • Estimate sum and difference of decimal
  • Multiplying and dividing numbers by 0.1 and 0.01
  • Estimate Multiplication and Division of decimals (upto hundredths)
  • Word Problems using decimal operations
  • Introduction to Rational Numbers
  • Rational Numbers on a number line
  • Equivalent rational numbers
  • Standard form of rational numbers
  • Ordering rational numbers
  • Absolute value of rational numbers
  • Addition of rational numbers when denominators are same
  • Addition of rational numbers when one denominator is a multiple of the other
  • Subtraction of rational numbers
  • Multiplication of rational numbers
  • Division of rational numbers
  • Terminating decimals and rational numbers
  • Recurring decimals and rational numbers
  • Exponents of only natural numbers
  • Laws of exponents
  • Scientific Notation
  • Application of laws of exponents in simple daily problems
  • Terms of an algebraic expression
  • Like and Unlike terms
  • Algebraic expression with powers
  • Degree of an algebraic expression with a single variable
  • Degree of an algebraic expression - Multiple variables
  • Simplifying Algebraic Expressions
  • Evaluation of an algebraic expression
  • Deriving and using a formula
  • Types of polynomials
  • Factors of a monomial
  • Addition and Subtraction of polynomials
  • Linear equations with unknown on both the sides
  • Solving simple linear equation with variables on one side
  • Real life solution through Algebraic Expressions - I
  • Simplest form of Ratio
  • Ratios which are proportional
  • Are the ratios proportional?
  • Application of Ratios and Proportions
  • Direct Proportionality through unitary
  • Introduction to percentage
  • Conversion between Fractions, Decimals and Percentages
  • Calculation of percentage
  • Identify the whole given the percentage
  • Application: Express one as percentage of another quantity
  • Increase or Decrease in Percentage
  • Profit and Loss percentage
  • Introduction to simple interest
  • Calculation of simple interest
  • Pairs of angles
  • Pairs of angles - Supplementary and Complementary angles
  • Parallel lines and Transversals
  • Median and Altitude of triangle
  • Properties of angles of a triangle
  • Property of sides of a triangle
  • Pythagoras Theorem
  • Reflection Symmetry
  • Lines of symmetry
  • Rotational Symmetry
  • Prisms and Pyramids
  • Vertices, edges and faces of 3D objects
  • Views of a solid - II
  • Construct Parallel and Perpendicular lines
  • Construct triangle with three sides given
  • Triangle with two sides and angle included given
  • Triangle with two angles and the common side given
  • Congruence of geometrical shapes
  • Conditions for congruence
  • Corresponding parts of congruent triangles (CPCT)
  • Perimeter and Area of Rectangle and Square
  • Area of a triangle - II
  • Area and Perimeter of parallelogram
  • Circumference of a circle
  • Area of a circle
  • Area between two circles
  • Mean, median and mode
  • Represent using Bar Graphs
  • Interpret Bar Graph (Vertical) - I
  • Interpret Double Bar Graph
  • Calculating Probability of simple events
  • Experimental and Theoretical Probability

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7th Grade Mathematics Worksheets: FREE & Printable

Looking for FREE printable 7th-grade math questions and exercises to help your students review and practice 7th-grade mathematics concepts?

7th Grade Mathematics Worksheets: FREE & Printable

Need Mathematics Practice questions to measure your 7th-grade student’s exam readiness? If so, then look no further.

Here is a comprehensive collection of free exercises and worksheets that would help your students for 7th Grade Math preparation and practice.

Download our free Mathematics worksheets for the 7th Grade Math.

You can download free 50+ 7th Grade Math Worksheets  from Bytelearn.

Hope you enjoy it!

IMPORTANT: COPYRIGHT TERMS: These worksheets are for personal use. Worksheets may not be uploaded to the internet, including classroom/personal websites or network drives. You can download the worksheets and print as many as you need. You can distribute the printed copies to your students, teachers, tutors, and friends. 

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7th grade mathematics concepts, fractions and decimals.

  • Simplifying Fractions
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Proportions, Ratios, and Percent

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Algebraic Expressions

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Systems of Equations

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Linear Functions

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  • Graphing Lines Using Line Equation
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Exponents and Radicals

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  • Zero and Negative Exponents
  • Division Property of Exponents
  • Powers of Products and Quotients
  • Negative Exponents and Negative Bases
  • Scientific Notation
  • Square Roots

Geometry and Solid Figures

  • Pythagorean Relationship
  • Rectangular Prism
  • Pyramids and Cone

Statistics and Probability

  • Mean and Median
  • Mode and Range
  • Stem–and–Leaf Plot
  • Probability Problems
  • Combinations and Permutations

The Best Book to Ace 7th-Grade Math Concepts!

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7th grade math exercises, proportions and ratios, polynomials, solid figures.

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Mastering Grade 6 Math Word Problems The Ultimate Guide to Tackling 6th Grade Math Word Problems

Mastering grade 5 math word problems the ultimate guide to tackling 5th grade math word problems, mastering grade 7 math word problems the ultimate guide to tackling 7th grade math word problems.

by: Effortless Math Team about 4 years ago (category: Blog , Free Math Worksheets )

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7th grade math worksheets

7th grade math worksheets on math topics covered in grade 7. Get seventh graders to have more math practice by downloading all worksheets under this category. Each 7th grade math topic links to a page with PDF printable math worksheets covering subtopics under the main category. 7th grade math topics covered include : Algebra, quadratic equations, algebra 2 type exercises, financial arithmetic, fractions, shopping and money, decimals, volumes, Pythagorean theorem, graphing linear equations, linear inequalities, absolute values and integers, proportions and ratios, area of figures, converting scales and metric systems and more.

Algebra worksheets

7th grade algebra worksheets

  • Quadratic equations
  • Expansions & factorization
  • Simultaneous equations
  • Subject of the formula

Consumer Math PDFs

7th grade math worksheets on consumer math

  • Financial arithmetic
  • Money & shopping
  • Simple proportions
  • Simple interest

Decimals - worksheets

  • Pre-algebra decimals
  • Adding decimals
  • Division with decimals
  • Decimals to fractions 

Fractions - worksheets

  • Improper fractions
  • Addition of fractions
  • Subtraction of fractions
  • Division of fractions
  • Equivalent fractions

Geometry worksheets

  • Volume of cylinder
  • Area of complex figures
  • Pythagorean theorem

Inequalities worksheets

7th grade inequalities worksheets

  • Linear inequalities
  • Solve equations
  • Positive numbers
  • Negative numbers
  • Variables in equations

Integers worksheets

7th grade integers worksheets - PDF

  • Absolute values
  • Ordering integers
  • Comparing integers
  • Adding integers
  • Multiply integers

Measurement worksheets

  • Converting scales
  • Converting ft to in
  • Convert yd to m

Number Sequences PDFs

7th grade number sequences worksheets

  • Decimals number patterns
  • Mixed patterns
  • Find the next term
  • Increasing patterns
  • Decreasing patterns

Numbers Theory PDFs

7th grade numbers theory worksheets

  • Greatest common factors
  • Lowest common multiple
  • Rationalize denominators
  • Order numbers
  • Order mixed value

Percents and Ratios

  • Percentage of numbers
  • Percents to decimals
  • Ratios to percentages
  • Fractions to ratios
  • Ratio tables

Powers, Roots and Scientific Notation

  • Square roots
  • Scientific notation
  • Standard forms

Pre-Algebra worksheets

  • Algebraic expressions
  • Algebra addition equations
  • Algebra multiplication equations
  • Algebra division equations
  • Algebra subtraction equations

Probability and Statistics

7th grade probability and statistics worksheets

  • Sets applied to real life
  • Odds of occurring
  • Likelihood of occurring
  • Probability in draws

Pythagorean Theory - PDFs

  • Find sides of triangles
  • Pythagorean theory formula
  • 90 degrees triangles

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  • Coordinate geometry
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  • Graphing linear equations
  • Locate in xy axis
  • Tables and data

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7th Grade Math Worksheets PDF

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></center></p><h2>7th Grade Math Worksheets PDF</h2><p>Math Worksheets / 7th Grade Math Worksheets PDF</p><p>A superb range of  math worksheets in pdf  for students in grade 7 (aged 12-13). We are a trusted provider of printable math worksheets for middle school children and this set of worksheets is  ideal for students in Grade 7 . Our 7th Grade worksheets are perfect for use in the classroom or for additional home learning and are excellent math practice material . We cover a range of topics, including linear equations, square roots, and scientific notation. Our pdf math worksheets are used by over 50,000 teachers, parents and schools around the world and we are a Times Educational Supplemen t recommended resource for helping students learn mathematics.</p><h2>GET 30 OF OUR FAVORITE MATH WORKSHEETS IN YOUR INBOX NOW!</h2><p>Popular math worksheets for 7th grade students.</p><p><center><img style=

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7th Grade Math Worksheets PDF

7TH GRADE MATH WORKSHEETS

  • Separate answers are included to make marking easy and quick.
  • Over 200 pages of the highest quality 7th Grade math worksheets. Each worksheet is differentiated, including a progressive level of difficulty as the worksheet continues.
  • Single user license for parents or teachers. Separate school licenses are available here
  • Single digital pdf download, with worksheets organized into high level chapters of Algebra, Statistics, Number and Geometry, and further by subtopics. See below for the extensive range of sheets included.

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List of Topics

Our 7th Grade printable math worksheets cover the full range of topics. See below the list of topics covered. See below the list of topics covered. All our math worksheets can be accessed here.

PEMDAS Expanding Brackets Factorising Indices Inequalities Linear Functions Real Life Graphs Rearranging Equations Sequences Simplification Solving Equations (linear equations) Substitution

Calculator Methods Decimals Fractions Fractions Decimals Percentages Mental Methods Negative Numbers Percentages Place Value Powers Proportion Ratio Rounding Time Types of Number Written Methods

2D Shapes 3D Shapes Area and Perimeter Bearings Scale and Loci Circles Compound Measures Constructions Coordinates Lines and Angles Polygons Pythagoras (Pythagorean theorem) Similarity and Congruence Transformations Volume and Surface Area

Histograms and Frequency Polygons Mean Median Mode Pie Charts and Bar Charts Probability Scatter Graphs Stem-and-Leaf Diagrams Two-Way Tables and Pictograms

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Math Mammoth Grade 7 complete curriculum

Math Mammoth Grade 7 Complete Curriculum is a complete pre-algebra program for 7th grade. It fully prepares students for an algebra 1 program.

cover for Math Mammoth Grade 7-A Complete Worktext

7-A contents and samples 7-B contents and samples User Guide, grade 7 CCS Alignment / Contents FAQ Errata

Prices & ordering

You can purchase Math Mammoth Grade 7 as a download, on a CD, or as already printed books .

Digital version

Grade 7 complete: USD $42.50 (download)

(the two worktexts, answer keys, tests, cumulative reviews, a worksheet maker, Soft-Pak)

Part 7-A only: USD $21.25 (download)

(Everything for the first half of 7th grade math; includes Soft-Pak)

Part 7-B only: USD $21.25 (download)

(Everything for the second half of 7th grade math; includes Soft-Pak)

You will be purchasing the downloads from my authorized reseller Comecero, LLC.

The CD contains the same files as the digital download: the two worktexts, answer keys, tests, cumulative reviews, a worksheet maker, Soft-Pak.

Printed copies

Rainbow Resource Center sells perfect-bound texts either with full color or with grayscale interior pages:

Math Mammoth grade 7 (b&w) Math Mammoth grade 7 (color)

Lulu sells spiral (coil) bound versions of the student books and of the tests & reviews book.

7-A worktext 7-B worktext Tests & Cumulative Reviews Answer Keys (perfect bound)

This product is meant to go with the printed student books, and includes digital versions of the answer keys, tests, cumulative revisions, worksheet maker and software Soft-Pak ( USD $9.60 ).

Do NOT purchase if you're getting the answer keys and tests & cumulative revisions as printed books, or if you're getting the digital version.

Lesson plan

You can purchase a lesson plan for Math Mammoth Grade 7 to use it in Homeschool Planet online planner. Learn more .

Skills Review Workbook

cover for Math Mammoth Grade 7 Skills Review Workbook

This workbook is supplemental, and provides additional practice for the topics in the curriculum. I recommend you only purchase it once you are sure the student does need supplemental practice. Learn more.

You will also get separate answer keys, chapter tests, additional cumulative reviews (I do recommend you use at least some of them), and a versatile worksheet maker (Internet access required) for those times when your child needs just a bit more practice.

  • Math Mammoth focuses on conceptual understanding . It explains the "WHY", so your children can understand the math, not just learn "HOW" to do it.
  • Concepts are often explained with visual models , followed by exercises using those models. These visual models can take the place of manipulatives for many children; however, it is very easy to add corresponding manipulatives to the lessons if so desired.
  • The curriculum is mastery-oriented . This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much.

:)

  • The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext, and there also exist accompanying videos where you can see Maria herself teach the material.
  • After each chapter introduction, you will find a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations, and further practice.

Please read the FAQ for more information.

online math worksheets for grade 7

Additional features for the digital version (download)

  • The PDF files can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. Learn more .
  • BONUS! The digital version comes with BONUS Soft-Pak programs. The 6 programs in Soft-Pak (4 math, 1 language arts, 1 list maker) offer both on-screen and printable activities in a low-graphic, high content format. Read more and see screenshots .

Overview of topics

  • introduction to basic algebra concepts
  • integers and their operations
  • solving one-step equations, including with negative numbers
  • operations with negative rational numbers
  • solving linear equations and writing equations for word problems
  • graphing linear equations and an introduction to the concept of slope
  • ratios, rates, proportions, and percent
  • geometry: angle relationships, compass & ruler constructions, drawing problems, Pi and the area and circumference of a circle, cross-sections formed when cutting solids, surface area, and volume
  • the Pythagorean theorem (optional)
  • probability

Please also see the table of contents 7-A and 7-B (in the sample files), which will let you see the topics covered in more detail.

Manipulatives

Here is a list of manipulatives, or actually measurement tools, that are needed for grade 7.

  • A ruler that measures in inches (for 7-B).
  • A ruler that measures in centimeters (for 7-B).
  • A compass (for 7-B).
  • A protractor (for 7-B).

Supplements

We offer a lesson plan for Math Mammoth Grade 7 for the Homeschool Planet online planner. This is available in two versions: regular, and PLUS plan which also includes a PDF file of the plan. Learn more .

Math Mammoth Skills Review Workbook, Grade 7 provides additional practice for the topics in Math Mammoth Grade 7 curriculum. I recommend you only purchase it once you are sure the student does need supplemental practice. Learn more.

Introduction

Math Mammoth Grade 7-A and Grade 7-B worktexts comprise a complete math curriculum for seventh grade mathematics studies. This is a pre-algebra course , and students can continue to an algebra 1 curriculum after studying it.

The curriculum meets the Common Core Standards (CCS) for grade 7 but also exceeds them in several places. For example, we study linear equations in more depth than required in grade 7 CCS, and the curriculum includes the Pythagorean Theorem, which in the CCS is in grade 8. You can access a document detailing the alignment information at this link or in the download version of this curriculum.

We start out with an introduction to basic algebra , which is in many ways a review of the same topics from 6th grade. The first chapter reviews the order of operations, the concepts of an expression and equation, and the distributive property. Students learn about the commutative and associative properties of addition and multiplication, and they simplify expressions that don’t involve negative numbers.

In chapter 2, we study integers and their operations in detail . Some of this is, again, review from 6th grade, and some of it is new. The four operations of integers are explained with the help of two visual models: the number line and counters, hopefully providing an intuitive understanding of the processes. Students need to be able to add, subtract, multiply, and divide integers when they learn to solve equations in chapter 3. In the end of the chapter students also learn about negative fractions.

The lesson about distance contains a formula that may look unfamiliar to the teacher. You can find the distance between two integers by taking the absolute value of their difference. In symbols, the distance between a and b is | a − b | . The idea behind the formula is simple, though, and most people use that idea instinctively without knowing about the formula. For example, how far apart from each other are 14 and 92? To solve that mentally, we find their difference, but we take that difference in a positive sense. In other words, we do not calculate 14 − 92 = −78 and state that the distance is negative 78 units, but instead, we say the distance is 78 units because distance is always positive. The absolute value takes care of that: it turns any negative quantity into a positive one.

In the next chapter (chapter 3) students study simple one-step equations . They already know the basics of how to solve these types of equations from 6th grade, but this time we use negative numbers in them.

Chapter 4 is titled Rational Numbers, which are simply fractions and certain decimals, so the student is already very familiar with them. The goal of the chapter is to be able to add, subtract, multiply, and divide both positive and negative fractions and decimals . We also solve simple equations involving fractions and decimals and learn about scientific notation and complex fractions.

The last chapter in part 7-A focuses on linear equations. The student learns to solve various types of linear equations and practices using those in simple word problems . We study linear inequalities but not to the same depth as linear equations. Lastly, the student graphs linear equations and is introduced to the concept of slope , which is the steepness of a line. The student will continue studying these topics with more details in an algebra 1 course.

Part B starts out with a study of ratios and proportions (chapter 6). Students study unit rates, proportions, proportional relationships and graphing, scaling geometric figures, floor plans, and maps.

The next chapter provides thorough lessons on the concept of percent. Students learn to solve a wide variety of problems involving percentages, including percentage of change, percentages of comparison, and simple interest problems.

Geometry is our focus in chapter 8. Students draw geometric figures using a a protractor and a ruler, and they also learn some basic geometric constructions. The other themes of this chapter are various angle relationships, area and the perimeter of a circle , conversions between units of area and of volume, surface area, volume, and cross-sections when solids are sliced with a plane.

Chapter 9 covers square roots, the Pythagorean Theorem , and its applications. You may omit the entire chapter if necessary (such as for lack of time), since the Pythagorean Theorem is also included in any 8th grade math program that follows Common Core, and in high school math courses.

Chapter 10 is an introduction to probability . Besides learning the basic idea behind probability as the ratio of favorable events to all possible events, students compare experimental probabilities to theoretical ones in probability simulations and even design some on their own.

Lastly, in chapter 11, the curriculum covers statistical concepts. The major areas of study are random sampling and learning to compare two populations using some basic statistical measures and graphs.

Reviews / Testimonials of the 7th grade curriculum

Math Mammoth · Affordable Homeschool Curriculum for 7th Grade at Grace, Grow & Edify blog

Math Mammoth Light Blue Series Level 7: A TOS Review Crew Review at Grace-Filled Homeschooling blog

Review of Math Mammoth Prealgebra Curriculum by David Chandler from Math Without Borders.

How and where to order

  • Here at MathMammoth.com website — simply use the "Add to cart" buttons you see on the product pages.
  • Rainbow Resource carries printed copies for the Light Blue series books, plus several CDs (Light Blue and Blue series).
  • Homeschool Buyers Club offers download versions of the Light Blue series, plus the Blue series bundle.
  • Homeschool Planet sells the digital versions of the main curriculum and lesson plans to go with them.
  • K5 Learning offers download versions of the Blue series.
  • TPT sells the Light Blue Series downloads, plus topical units.
  • Lulu sells printed copies for most of the Math Mammoth materials (various series).

By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.

online math worksheets for grade 7

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Free Math Worksheets – Grade 4 to 8

Mathematics is often regarded as a fundamental subject in education, providing essential skills and concepts that are applicable across various disciplines and real-life situations. Solving Worksheets plays a crucial role in developing essential mathematical skills, including problem-solving, critical thinking, logical reasoning, and numerical fluency.

On this page, you can have access to links through which you can download math worksheets for free on every possible topic as per the mathematics syllabus of Grade 4 to Grade 8. All the worksheets are printable and contain the answer key on the last page of each worksheet.

Download Free Worksheet for Grade 4

Download free worksheet for grade 5, download free worksheet for grade 6, download free worksheet for grade 7, download free worksheet for grade 8, frequently asked questions, what is a math worksheet.

A math worksheet is a printed or digital document containing a series of mathematical exercises, problems, or questions designed to reinforce concepts, practice skills, and assess understanding.

What types of math worksheets are available?

Math worksheets cover a wide range of topics and levels, including arithmetic (addition, subtraction, multiplication, division), algebra, geometry, trigonometry, calculus, and more. They can also vary in format, from basic drills to word problems and puzzles.

How are math worksheets used in education?

Math worksheets are used by teachers as instructional materials to supplement classroom lessons and provide students with opportunities for practice and application of mathematical concepts. Students complete worksheets individually or in groups, either in class or as homework assignments.

What are the benefits of using math worksheets?

Math worksheets offer several benefits, including reinforcing concepts, developing skills, providing practice opportunities, assessing progress, fostering independent learning, and catering to diverse learning needs and abilities.

Are math worksheets suitable for all grade levels?

Yes, math worksheets are available for various grade levels, from elementary school through high school and beyond. They can be adapted to different curriculum standards and proficiency levels to meet the needs of students at different stages of their mathematical development.

How can parents support their child’s learning with math worksheets?

Parents can support their child’s learning with math worksheets by providing a quiet and organized study space, setting aside dedicated time for practice, offering encouragement and assistance when needed, reviewing completed worksheets together, and communicating with teachers to address any challenges or concerns.

Can math worksheets be used for assessment purposes?

Yes, math worksheets can be used for both formative and summative assessment purposes. Teachers can use worksheets to assess student understanding, track progress, identify areas for improvement, and inform instructional decisions. Additionally, worksheets can serve as review materials for quizzes, tests, and exams.

Where can one find free math worksheets online?

There are numerous websites that offer free math worksheets for download and printing, covering a wide range of topics and grade levels. You can also get numerous worksheets on our website geeksforgeeks .

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