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8th Grade Math Worksheets

First things first, prioritize major topics with our printable compilation of 8th grade math worksheets with answer keys. Pursue conceptual understanding of topics like number systems, expressions and equations, work with radicals and exponents, solve linear equations and inequalities, evaluate and compare functions, understand similarity and congruence, know and apply the Pythagorean Theorem, find volume and surface area, develop an understanding of statistics and probability and much more. Our free math worksheets for grade 8 students make sure they start right!

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Explore 2,400+ Eighth Grade Math Worksheets

Converting Fractions to Decimal

Converting Fractions to Decimal

Convert each fraction with a multiple of 10 as its denominator into a decimal number by placing the decimal point at the right spot.

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Finding the Square Roots of Perfect Squares

Finding the Square Roots of Perfect Squares

Apply prime factorization and determine the square roots of the first fifty perfect squares offered as positive integers.

Slope of a Line passing through Two Points

Slope of a Line passing through Two Points

Use the formula, m = (y 2 - y 1 ) / (x 1 - x 1 ) to find the slope(m) of a line passing through two points: (x 1 ,y 1 ) and (x 2 ,y 2 ).

Solving Multi-Step Equations

Solving Multi-Step Equations

Follow the order of operations, rearrange to make the unknown variable the subject, and solve for its integer value.

Identifying Functions from Ordered Pairs

Identifying Functions from Ordered Pairs

Observe each set of ordered pairs given in Part A, figure out ordered pairs from graphs in Part B, and state if they represent a function.

Translation on Graphs | Writing Coordinates

Translation on Graphs | Writing Coordinates

Slide each figure in the said direction: up or down, left or right. Write the coordinates of the shifted image.

Congruence | Congruent Parts

Congruence | Congruent Parts

Complete the congruence statement for each pair of triangles by writing the corresponding side or corresponding angle.

Finding the Interior Angle

Finding the Interior Angle

Find the measure of the indicated interior angle by subtracting the sum of the known angles from 180.

Interior Angles - Finding the Unknown

Interior Angles - Finding the Unknown

Observe whether the interior angles lie on the same side or opposite sides of the transversal and find the unknown angle.

Identifying Right Triangles

Identifying Right Triangles

Square the adjacent and opposite sides of the triangle; take the root of their sum; if you arrive at the hypotenuse, then it's a right triangle.

Volume of Cones

Volume of Cones

Plug the given radius(r) and height(h) in the formula V = 1/3πr 2 h and find the volume of the cone.

Mean, Median, Mode, and Range

Mean, Median, Mode, and Range

Read each word problem with a real-life scenario and find the mean, median, mode, and range for each data set.

Converting Fractions to Percent

Converting Fractions to Percent

Switch each fraction to percent by multiplying the numerator by 100, dividing the product by the denominator, and adding the % symbol.

Finding the Square of Square Roots

Finding the Square of Square Roots

The square of a square root is the radicand. So, simply multiply the radicand with the square of the number outside the root.

Convert to the Standard Form

Convert to the Standard Form

Isolate the x and y-terms to one side and the constant to the other side of the equation and rewrite it in the form: ax + by = c.

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Printable 8th Grade Math Worksheets

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8th Grade Math Worksheets

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></center></p><h2>EVERYTHING YOU NEED FOR GRADE 8</h2><p>Get access to over 350 math worksheets as well as lesson planning resources for Grade 8 (aged 13-14) Mathematics. Cazoom Math is a trusted provider of Math worksheets for school children, and this set of Math worksheets is ideal for students in the final year of middle school.</p><ul><li>Used by over 50,000 teachers, parents, and schools around the world</li><li>All our math worksheets are aligned to the common core state standards</li><li>Perfect for use in the classroom or for additional home learning</li></ul><h2>GET 30 OF OUR FAVORITE MATH WORKSHEETS IN YOUR INBOX NOW!</h2><p>Popular math worksheets for 8th grade students.</p><p><center><img style=

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8th Grade Math Worksheets

LIST OF TOPICS

TOPICS INCLUDE:

BODMAS Expanding Brackets Factorising Indices Inequalities Linear Functions Real Life Graphs Rearranging Equations Sequences Simplification Solving 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 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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Grade 8 Math Worksheets

8th grade math is a pivotal year that prepares students for the challenges of high school mathematics and beyond. The curriculum is designed to provide a deep and thorough understanding of key mathematical concepts, including algebra, functions, geometry, statistics, probability, number systems, and proportional relationships. The emphasis on problem-solving, critical thinking, and mathematical reasoning ensures that students are not only able to perform mathematical operations but also to understand and apply mathematical concepts in real-world situations.

Grade 8 Data Worksheet

Data Analysis and Statistics

Mean, Median, Mode, and Range | Answer Key Probability Word Problems | Answer Key Grade 8 Problem Solving Word Problems | Answer Key Proportional Relationships | Answer Key

Grade 8 Graphing Linear Equations Worksheet

Equations and Systems of Equations | Answer Key Functions | Answer Key Graphing Linear Equations | Answer Key Quadratic Functions | Answer Key Systems of Equations | Answer Key

Exponents and Scientific Notation Worksheet for 8th grade

Exponents and Scientific Notation | Answer Key Real Number Operations | Answer Key

8th Grade Geometry Worksheet

Shapes and Transformations | Answer Key Pythagorean Theorem Word Problems | Answer Key Making Transformations | Answer Key Volume and Surface Area Word Problems | Answer Key

What Math Skills Do Students Learn in 8th Grade?

In 8th grade math, students delve into a comprehensive curriculum designed to build a strong foundation for high school mathematics and beyond. The year is typically divided into several key units that encompass a wide range of mathematical concepts, each aiming to enhance the students’ understanding, problem-solving skills, and logical thinking. Here’s an in-depth look at what students learn in 8th grade math:

The journey begins with an in-depth exploration of algebraic expressions and equations. Students learn to manipulate algebraic expressions, including simplifying, expanding, and factoring them. They work with linear equations and inequalities, learning to solve them using various methods such as graphing, substitution, and elimination. This unit also introduces them to systems of linear equations, where they find the point of intersection between two lines, representing the solution to the system. This foundational knowledge is crucial as it prepares students for more complex algebraic concepts in high school.

Next, students delve into the world of functions, a critical concept in algebra. They learn to understand and interpret functions as relationships between two variables, typically represented as f(x). The curriculum covers different types of functions, including linear, quadratic, and exponential functions. Students learn to graph these functions, identify their key characteristics such as slope and intercepts for linear functions, and analyze their behavior. This unit emphasizes the real-world applications of functions, helping students see the relevance of what they are learning.

Geometry is another significant component of the 8th grade math curriculum. Students deepen their understanding of geometric concepts, starting with the basics of points, lines, and angles. They explore the properties of various geometric shapes, including triangles, quadrilaterals, and other polygons, as well as three-dimensional figures like prisms, cylinders, cones, and spheres. The curriculum includes a thorough examination of the Pythagorean theorem, teaching students to apply it in different contexts to find missing side lengths in right triangles. They also learn about transformations, including translations, rotations, reflections, and dilations, and how these affect the coordinates of shapes on the coordinate plane. This unit often incorporates proofs, where students learn to justify their reasoning and demonstrate the logical progression of their thoughts.

The study of statistics and probability is also a key aspect of 8th grade math. Students learn to collect, organize, and interpret data using various methods. They explore different types of graphs and charts, such as histograms, box plots, and scatter plots, and learn to use them to represent data effectively. Measures of central tendency (mean, median, and mode) and measures of variability (range, interquartile range, and standard deviation) are also covered, helping students to analyze and summarize data sets. In probability, students learn about simple and compound events, using tools such as probability trees and the fundamental counting principle to determine the likelihood of different outcomes. This unit helps students understand how to make informed decisions based on data, a skill that is increasingly important in the modern world.

Another important area of focus is number systems and their properties. Students extend their understanding of the real number system, including rational and irrational numbers. They learn to perform operations with integers, fractions, and decimals, and explore the relationships between these different forms of numbers. This unit also covers exponents and roots, teaching students to simplify expressions involving powers and to solve equations involving square roots and cube roots. Scientific notation is introduced as a way to represent very large or very small numbers, a skill that is particularly useful in science and engineering.

The concept of ratios and proportional relationships is reinforced and expanded in 8th grade. Students learn to solve problems involving proportions, including those related to scale drawings and similar figures. They explore the concept of slope as a rate of change, using it to describe the steepness of a line and to solve real-world problems involving proportional relationships. This unit often includes the study of direct and inverse variation, helping students to understand different types of relationships between variables.

In addition to these core areas, 8th grade math often includes topics that prepare students for high school math courses. One such topic is introductory trigonometry, where students learn about the basic trigonometric ratios (sine, cosine, and tangent) and how to use them to solve problems involving right triangles. This introduction to trigonometry lays the groundwork for more advanced study in high school.

The curriculum also emphasizes the development of mathematical reasoning and problem-solving skills. Students are encouraged to think critically and to approach problems methodically. They learn to break down complex problems into smaller, more manageable parts, to recognize patterns, and to use logical reasoning to arrive at solutions. This process often involves writing out their thought processes and justifying their answers, helping to build strong communication skills that are essential in all areas of life.

Throughout the year, technology and hands-on activities play an important role in enhancing students’ learning experiences. Graphing calculators, computer software, and online resources are often integrated into lessons to help students visualize concepts and explore mathematical ideas in greater depth. Hands-on activities, such as building geometric models or conducting experiments to collect data, provide practical applications of mathematical concepts and make learning more engaging.

Assessment in 8th grade math is varied and ongoing, with a combination of formative and summative assessments used to gauge students’ understanding and progress. Formative assessments, such as quizzes, homework assignments, and classwork, provide regular feedback to students and teachers, helping to identify areas where additional practice or instruction may be needed. Summative assessments, such as unit tests and standardized exams, evaluate students’ mastery of the material and their readiness for high school math.

The importance of collaboration and discussion is also emphasized in 8th grade math. Students often work in pairs or small groups to solve problems, share ideas, and explain their reasoning to their peers. This collaborative approach helps to develop communication and teamwork skills, and it provides opportunities for students to learn from each other and to see different perspectives on mathematical problems.

8th Grade Math Worksheets and Study Guides

The big ideas in Eighth Grade Math include understanding the concept of a function and using functions to describe quantitative relationships and analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence.

Math Worksheets and Study Guides Eighth Grade

Data analysis & probability, collecting and describing data, displaying data, experimental probability, theoretical probability and counting, using graphs to analyze data, expressions & equations, equations and inequalities, integer operations, linear equations, linear relationships, ratios, proportions and percents, solving equations and inequalities, solving linear equations, patterns in geometry, perimeter and area, plane figures, similarity and scale, three dimensional geometry/measurement, the number system, applications of percent, mathematical processes, numbers and percents, polynomials and exponents, rational numbers and operations, real 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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8th Grade Online Math Worksheets

According to the Common Core Standards, in Grade 8, instructional time should focus on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.

8th Grade Domains

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

  • Know that there are numbers that are not rational, and approximate them by rational numbers.
  • Work with radicals and integer exponents.
  • Understand the connections between proportional relationships, lines, and linear equations.
  • Analyze and solve linear equations and pairs of simultaneous linear equations.
  • Define, evaluate, and compare functions.
  • Use functions to model relationships between quantities.
  • Understand congruence and similarity using physical models, transparencies, or geometry software.
  • Understand and apply the Pythagorean Theorem.
  • Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
  • Investigate patterns of association in bivariate data.

All 8th Grade Online Math Worksheets

This is a listing of all our 8th Grade Online Math Worksheets. Newest worksheets are on top!

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8th Grade Math Worksheets

In this section, you can view all of our eighth-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 8 worksheets added to the site.

math homework sheets for 8th grade

Translation of the Coordinate Plane (School Fair Themed) Math Worksheets

math homework sheets for 8th grade

Understanding the properties of rotations, reflections, and translations of 2D figures 8th Grade Math Worksheets

math homework sheets for 8th grade

Solving Linear Equations in One Variable Integral Coefficients and Rational Coefficients 8th Grade Math Worksheets

math homework sheets for 8th grade

Interpreting linear functions in a form of y=mx+b and its graph 8th Grade Math Worksheets

math homework sheets for 8th grade

Performing Operations using Scientific Notation 8th Grade Math Worksheets

math homework sheets for 8th grade

Understanding Irrational Numbers 8th Grade Math Worksheets

Grade 8 End of Year Test Student Booklet & Answer Guide

8th Grade End Of Year Test Booklet

math homework sheets for 8th grade

Solving Linear System: Substitution (Adventure Themed) Math Worksheets

math homework sheets for 8th grade

Understanding Pythagorean Theorem 8th Grade Math Worksheets

math homework sheets for 8th grade

Working with Radicals and Integer Exponents 8th Grade Math Worksheets

math homework sheets for 8th grade

Parallel lines Cut by a Transversal 8th Grade Math Worksheets

math homework sheets for 8th grade

Understanding Basic Concepts of Relations and Functions 8th Grade Math 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

math homework sheets for 8th grade

Multiplication of Functions (Travel and Tours Themed) Worksheets

math homework sheets for 8th grade

Multiplication of Algebraic Expressions (World Oceans Day Themed) Worksheets

math homework sheets for 8th grade

Division of Polynomials (Labor Day Themed) Worksheets

Shape Transformations (International Literacy Day Themed) Worksheets

Shape Transformations (International Literacy Day Themed) Math Worksheets

Similar Shapes (Astronomy Themed) Math Worksheets

Similar Shapes (Astronomy Themed) Math Worksheets

Counting and Number Problems (National Poetry Day Themed) Math Worksheets

Counting and Number Problems (National Poetry Day Themed) Math Worksheets

8th grade common core aligned learning objectives & standards:.

Learning objectives:

In Grade 8, instructional time should focus on three critical areas: (1) deriving and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; 

(2) understanding the concept of a function and using functions to describe quantitative relationships; 

(3) analyzing two- and three-dimensional space and figures using distance, angle, similarity , and congruence, and understanding and applying the Pythagorean Theorem. 

a. Conceptual skills

  • 8th graders utilize linear equations and systems of linear equations to represent, analyze, and solve a variety of problems. They acknowledge equations as a scaffolding concept for proportions (y/x = m or y = mx) as special linear equations (y = mx + b), and understand the meaning of each variable.  
  • Learners display a firm understanding of linear equations by using it to create a quantifiable relationship between two quantities in bivariate data (such as arm span vs. height for students in a classroom). 
  • Interpreting the trend of the linear model in the context of the data so that learners can express it as a relationship between the two quantities in question and predict the trends of the components of the relationship (such as slope and y-intercept) in terms of the situation. 
  • They acquire the concept of a function as a rule that assigns to each input exactly one output and a relationship where one quantity determines another. 
  • Learners extend their ideas of distance and angles , how they behave under translations, rotations, reflections, and dilations . As well as the ideas about congruence and similarity to describe and analyze two-dimensional figures and to solve problems. 
  • They get familiarized with the basic concepts of the Pythagorean Theorem and its converse, and can discuss why the Pythagorean Theorem holds, for example, by decomposing a square in two different ways.

b. Procedural skills

  • Learners carefully select and efficiently carry out ways to solve linear equations in one variable. Also, make use of different equality properties to create the concept of logical equivalence and conserve the solutions of the original equation. 
  • They solve systems of two linear equations in two variables and connect the systems to pairs of lines in the plane. At the same time they describe the nature of the solution and the graph created.
  • They can translate among representations and partial representations of functions (noting that tabular and graphical representations may be partial representations), and they describe how aspects of the function are reflected in the different representations. 
  • Learners illustrate that the sum of the angles in a triangle is the angle formed by a straight line, and that various configurations of lines give rise to similar triangles because of the angles created when a transversal cuts parallel lines . 
  • They apply the Pythagorean Theorem to find distances between points on the coordinate plane, to find lengths, and to analyze polygons. 
  • They complete their geometry learned concepts by working on volume to solve problems involving cones, cylinders, and spheres.

c. Life skills

  • Learners deal with more applications of mathematics in their lives with grasped concepts and procedures from learning linear equations, functions, and Pythagorean Theorem. 
  • Linear equations and its graph can solve linear relationships of two variables such as the connection of demand and supply of goods in respect to its price value, the weight-height interconnection, amount of gasoline and number of miles reached, etc.
  • Functions, likewise, are used to illustrate input-output relationships. It can explain trends of values — whether increasing and decreasing; predict future values — population of a certain town, number of bacteria in a petri dish for a period of time.
  • By learning Pythagorean Theorem, 8th graders can estimate and calculate distance of two points or locations. They will learn that the shortest distance to reach another point is by walking, running, or driving in a diagonal direction.

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Eighth Grade Math Worksheets

Aligned with the CCSS, our printable math worksheets for grade 8 cover key topics like transformation, scientific notations, functions, and equations, and help refresh knowledge of concepts, including angles, the Pythagorean theorem, volume, surface area, and more.

Topics Covered:

  • Volume and Surface Area
  • Expressions and Equations

Eighth Grade Angles Worksheets

The mainstay of our math worksheets pdfs for grade 8 students is the duo of alternate angles and corresponding angles. Also, learn about the angles formed by parallel lines cut by a transversal.

  • Parallel Lines Cut by a Transversal
  • Alternate Angles in Parallel Lines
  • Corresponding Angles

Eighth Grade Transformation Worksheets

Enlighten students on identifying the transformation of figures, translating shapes, recognizing the rotation of figures on a coordinate plane, and graphing the flipped image of a figure.

  • Translation

Eighth Grade Volume and Surface Area Worksheets

Barrel toward success in our worksheets and compute the volume and determine the area of 3D solid shapes such as cones, cylinders, and spheres.

  • Volume of Cones
  • Volume of a Cylinder
  • Volume of a Sphere
  • Volume of a Hemisphere
  • Surface Area of a Cone
  • Surface Area of a Cylinder
  • Surface Area of a Sphere
  • Surface Area of a Hemisphere

Eighth Grade Pythagorean Theorem Worksheets

Teeming with practice to reaffirm the fundamentals of geometry, this section of our printable math worksheets for 8th grade shines light on the intricate concepts that center around the Pythagorean theorem.

  • Pythagorean Theorem Charts
  • Pythagorean Triples
  • Length of a Line Segment
  • Converse of the Pythagorean Theorem
  • Finding the Hypotenuse
  • Unknown Side Lengths in Right Triangles
  • Pythagorean Theorem Word Problems
  • Length of the Diagonal of a Rectangle

Eighth Grade Proportions Worksheets

Excel in determining the value of the proportionality constant from equations, graphs, and tables and in calculating the rates and unit rates with our proportionality worksheets for grade 8.

  • Constant of Proportionality

Eighth Grade Scientific Notation Worksheets

Rehearse simplifying and deciphering scientific notations, while enjoying a good spell of learning the basic arithmetic operations in this part of our printable math worksheets for 8th grade children.

  • Scientific Notation of Large Numbers
  • Scientific Notation of Small Numbers
  • Addition and Subtraction with Scientific Notation
  • Multiplication and Division with Scientific Notation
  • Operations with Scientific Notation

Eighth Grade Expressions and Equations Worksheets

Our 8th grade expressions and expressions worksheets are further testament to just how greatly children enjoy solving linear equations and master simplification of expressions with +ve and -ve exponents.

  • Systems of Linear Equations
  • Simplifying Expressions with Exponents
  • Graph the Linear Functions

Eighth Grade Functions Worksheets

Hit the height of identifying functions with our math worksheets pdfs for grade 8 . Excel in determining the input and output values, while renewing your skills to take in the vertical line test.

  • Recognizing Functions from Graphs
  • Function Tables

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8th Grade Math Worksheets From Scholastic Teachables

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Scholastic Teachables (formerly Scholastic Printables) has more than 100 eighth grade math worksheets that span more than 20 different math skills. Sign up today and get instant online access to 8th grade math worksheets, plus lesson plans, practice pages, and more to cover all skills. You'll also get access to Scholastic's 30,000+ award-winning printables and leveled learning collections in reading and math for all grade levels. Learn why thousands of teachers have chosen Scholastic to be their teaching resource.

Scholastic Teachables (formerly Scholastic Printables) has more than 100 eighth grade math worksheets that span more than 20 different math skills. Sign up today and get instant online access to 8th grade math worksheets, plus lesson plans, practice pages, and more to cover all skills. You'll also get access to Scholastic's 30,000+ award-winning printables and leveled learning collections in reading and math for all grade levels. Learn why thousands of teachers have chosen Scholastic to be their teaching resource.

Scholastic's 8th Grade Math Worksheets Cover:

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

Sample 8th Grade Math Worksheets

More than 100 printable 8th grade math worksheets from Scholastic Teachables span more than 20 math topics and skills. Sign up and you'll also get access to Scholastic's more than 30,000 award-winning printables and leveled learning collections in reading and math to reach every learner. New printables and 8th grade math worksheets are published each month to keep your courses fresh, exciting and up-to-date. You can access all of our resources from any device, whether at school or at home. Spend more time focusing on your courses and less time on preparing materials—simply find it, print it, teach it!

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More than 100 printable 8th grade math worksheets from Scholastic Teachables span more than 20 math topics and skills. Sign up and you will also get access to Scholastic's more than 30,000 award-winning printables and leveled learning collections in reading and math to reach every learner. New printables and 8th grade math worksheets are published each month to keep your courses fresh, exciting and up-to-date. You can access all of our resources from any device, whether at school or at home. Spend more time focusing on your courses and less time on preparing materials—simply find it, print it, teach it!

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Free Printable Math Worksheets for 8th Grade

Math worksheets for Grade 8 students: Discover a vast collection of free printable resources, crafted by educators to enhance learning and develop essential skills in your classroom. Dive into Quizizz's offerings today!

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Explore printable Math worksheets for 8th Grade

Math worksheets for Grade 8 are essential tools for teachers to help their students develop a strong foundation in various mathematical concepts. These worksheets cover a wide range of topics, including algebra, geometry, probability, and statistics, ensuring that students have ample practice and reinforcement of the skills they learn in class. Teachers can use these worksheets to supplement their lesson plans, provide additional practice for struggling students, or even as homework assignments to keep students engaged outside of the classroom. With a variety of formats and difficulty levels available, Grade 8 math worksheets offer the perfect blend of challenge and support for students at this critical stage in their mathematical education.

Quizizz is an excellent platform for teachers to access not only Math worksheets for Grade 8 but also a plethora of other resources to enhance their students' learning experience. This interactive platform offers a vast collection of quizzes, games, and activities that can be easily integrated into lesson plans or used as standalone activities to reinforce key concepts. In addition to Grade 8 math worksheets, Quizizz also provides resources for other subjects and grade levels, making it a one-stop-shop for educators looking to diversify their teaching materials. The platform's user-friendly interface and customizable features allow teachers to tailor their students' learning experience, ensuring that each student receives the support and challenge they need to succeed in their mathematical journey.

Common Core Grade 8 Math (Worksheets, Homework, Lesson Plans)

Looking for examples, solutions, videos, and lessons that will help you in your Common Core Grade 8 math classwork or homework? Looking for Common Core Math Worksheets and Lesson Plans that will help you prepare lessons for Grade 8 students?

Related Pages Common Core Math Resources, Lesson Plans & Worksheets Common Core Math Lessons, Math Worksheets and Games for Grade 8 Common Core Math Lessons, Math Worksheets and Games for all grades

The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources. Eureka/EngageNY Math 8th grade worksheets,

The Lesson Plans and Worksheets are divided into seven modules.

Grade 8 Worksheets, Homework, and Lesson Plans

Module 1 Topics and Objectives


: Exponential Notation ( )

: Multiplication and Division of Numbers in Exponential Form ( )

: Numbers in Exponential Form Raised to a Power ( )

: Numbers Raised to the Zeroth Power ( )

: Negative Exponents and the Laws of Exponents ( )

: Proofs of Laws of Exponents ( )
Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)


: Magnitude ( )

: Estimating Quantities ( )

: Scientific Notation ( )

: Operations with Numbers in Scientific Notation ( )

: Efficacy of the Scientific Notation ( )

: Choice of Unit ( )

: Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology ( )
Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module 2 Topics and Objectives


: Why Move Things Around? ( )

: Definition of Translation and Three Basic Properties ( )

: Translating Lines ( )

: Definition of Reflection and Basic Properties ( )

: Definition of Rotation and Basic Properties ( )

: Rotations of 180 Degrees ( )


: Sequencing Translations ( )

: Sequencing Reflections and Translations ( )

: Sequencing Rotations ( )

: Sequences of Rigid Motions ( )
Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)


: Definition of Congruence and Some Basic Properties ( )

: Angles Associated with Parallel Lines ( )

: Angle Sum of a Triangle ( )

: More on the Angles of a Triangle ( )


: Informal Proof of the Pythagorean Theorem ( )

: Applications of the Pythagorean Theorem ( )
Topics A through C (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module 3 Topics and Objectives


: What Lies Behind "Same Shape"? ( )

: Properties of Dilations ( )

: Examples of Dilations ( )

: Fundamental Theorem of Similarity (FTS) ( )

: First Consequences of FTS ( )

: Dilations on the Coordinate Plane ( )

: Informal Proofs of Properties of Dilations (optional) ( )

Topics A (assessment 1 day, return 1 day, remediation or further applications 2 days)


: Similarity ( )

: Basic Properties of Similarity ( )

: Informal Proof of Angle-Angle Criterion ( )

: More About Similar Triangles ( )

: Modeling with Similarity ( )

Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)


: Proof of the Pythagorean Theorem ( )

: Converse of the Pythagorean Theorem ( )

Module 4 Topics and Objectives


: Writing Equations Using Symbols ( )

: Linear and Non-Linear Expressions in x ( )

: Linear Equations in x ( )

:    Solving a Linear Equation ( )

: Writing and Solving Linear Equations ( )

: Solutions of a Linear Equation ( )

: Classification of Solutions ( )

: Linear Equations in Disguise ( )

: An Application of Linear Equations ( )


: A Critical Look at Proportional Relationships ( )

: Constant Rate ( )

: Linear Equations in Two Variables ( )

: The Graph of a Linear Equation in Two Variables ( )

: The Graph of a Linear Equation―Horizontal and Vertical Lines ( )
Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)


: The Slope of a Non-Vertical Line ( )

: The Computation of the Slope of a Non-Vertical Line ( )

:    The Line Joining Two Distinct Points of the Graph y = mx + b has Slope m ( )

:    There is Only One Line Passing through a Given Point with a Given Slope ( )

: The Graph of a Linear Equation in Two Variables is a Line ( )

: Every Line is a Graph of a Linear Equation ( )

: Some Facts about Graphs of a Linear Equation in Two Variables ( )

: Constant Rates Revisited ( )

: The Defining Equation of a Line ( )


: Introduction to Simultaneous Equations ( )

: Geometric Interpretation of the Solutions of a Linear System ( )

: Characterization of Parallel Lines ( )

: Nature of Solutions of a System of Linear Equations ( )

: Another Computational Method of Solving a Linear System ( )

: Word Problems ( )

: Conversion Between Celsius and Fahrenheit ( )


: System of Equations Leading to Pythagorean Triples
Topics C through E (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module 5 Topics and Objectives


: The Concept of a Function ( )

: Formal Definition of a Function ( )

: Linear Functions and Proportionality ( )

: More Examples of Functions ( )

: Graphs of Functions and Equations ( )

: Graphs of Linear Functions and Rate of Change ( )

: Comparing Linear Functions and Graphs ( )

: Graphs of Simple Non-Linear Functions ( )


: Examples of Functions from Geometry ( )

: Volumes of Familiar Solids - Cones and Cylinders ( )

: Volume of a Sphere ( )

Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module 6 Topics and Objectives


: Modeling Linear Relationships ( )

: Interpreting Rate of Change and Initial Value ( )

: Representations of a Line ( )

, : Increasing and Decreasing Functions ( ) ( )



: Scatter Plots ( )

: Patterns in Scatter Plots ( )

: Informally Fitting a Line ( )

: Determining the Equation of a Line Fit to Data ( )
Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)


: Linear Models ( )

: Using Linear Models in a Data Context ( )

: Nonlinear Models in a Data Context (Optional) ( )
: Summarizing Bivariate Categorical Data in a Two-Way Table ( )

: Association Between Categorical Variables ( )
Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module 7 Topics and Objectives


: The Pythagorean Theorem ( )

: Square Roots ( )

: Existence and Uniqueness of Square and Cube Roots ( )

: Simplifying Square Roots (optional) ( )

: Solving Radical Equations ( )


: Finite and Infinite Decimals ( )

: Infinite Decimals ( )

: The Long Division Algorithm

: Decimal Expansions of Fractions, Part 1

: Converting Repeating Decimals to Fractions ( )

: The Decimal Expansion of Some Irrational Numbers ( )

: Decimal Expansion of Fractions, Part 2

: Comparing Irrational Numbers ( )

: Decimal Expansion of π ( )
Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)


: Pythagorean Theorem, Revisited ( )

: Converse of the Pythagorean Theorem ( )

: Distance on the Coordinate Plane ( )

: Applications of the Pythagorean Theorem ( )


: Cones and Spheres ( )

: Truncated Cones ( )

: Volume of Composite Solids ( )

: Average Rate of Change ( )

: Nonlinear Motion
Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

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Eighth Grade

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math homework sheets for 8th grade

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math homework sheets for 8th grade

  Multiplication with Exponents, up to third power (1 to 9)                                                              
  Division with Exponents, up to third power (1 to 15)                                                              
  Cube Root (1 to 15)                                                              
  Cube Root (1 to 32)                                                              
  Adding and Subtracting (1 Variable; 4 Terms)                                                              
  Adding and Subtracting (2 Variable; 6 Terms)                                                              
  Multiplying and Dividing (1 Variable; 4 Terms)                                                              
  Multiplying and Dividing (2 Variable; 5 Terms)                                
  Quadratic Formula                                
  Factoring Quadratics                                
  Factoring by Grouping                                
  Multiple Step Equations (Integers, Decimals)                    
  Multiple Step Inequalities (add, subtract, multiply, divide)                    
  Surface Area of Cone, Sphere, and Pyramid                    
  Volume of Cone, Sphere, and Pyramid                    
  Volume and Surface Area of Cone, Sphere, and Pyramid                    
  Dilation Using Origin as the Center                    
  Dilation Using Various Origin                    
  Finding Scale Factor and Center of Dilation                    
  Distance Formula - Graph with Line Segment                    
  Distance Formula - Given 2 ordered Pairs                    
  Solving a System of Equations by Graphing                    
  Solving Two Variables Systems of Equations                    
  Graphing Linear Inequalities                    

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8th Grade Math Worksheets (Grade 8 - For Ages 13 to 14)

Beginning of the school year.

These worksheets are building off of last year's skills. They are part of the 8th grade curriculum, but they are usual learned in one shot. In our experience it is because they are very concrete skills that don't need much explanation.

  • Compare Exponents - Have students compare the end value of these exponents.
  • Function Tables - Input the variables into the equations and see what comes out.
  • Math Operations and Reasoning - Every problem is missing three to four operators. Make each equation true.
  • Surface Area - You are given 2 to 3 dimensions or measures of a rectangular prism and asked to find all the others. Sometime math has a cool power about it!
  • Circle the Irrational Numbers - If you can write a number as a fraction or simple ratio, it's rational. Take a quick glance at these specimens and determine if they are rational.
  • Operations with Exponents - We take exponents out for a walk and throw them into 2 and 3 step problems.
  • Scientific Notation - Meeting up with our friend times ten to the exponent. Write each number using scientific notation then move on to standard format. Pay attention to number 3. What's up with that one?
  • Venn Diagrams - We always knew that Venn Diagrams had a huge place in the Language Arts classroom, but they do the same thing when organizing data. Venn Diagrams should be used in the math classroom just as much.

Midyear Problems

These problems actually take more time to understand and may take two or three passes to really catch on.

  • Evaluate Expressions - This is a quick plug and chug activity to test student skills.
  • Writing Expressions - Convert number sentences to expressions. A really good skill to have.
  • Rewriting Fraction Equations - Solve for the variable in each case. Please note there are two- three step problems in the batch.
  • Order of Operations - Remember good ole' PEMDAS for this one. There are three steps max for each one.
  • Surface Area - You will also be asked to find other measurements of length.
  • Determine the Slope of a Line - You will work off of points and actual lines on cooridinate graphs.

Advanced Skills

These are the skills that not everyone can grasp in just a few times going over it. These also happen to be the skills that many students have trouble with on standard tests.

  • The Truth of Inequalities - Determine the truth value for ever inequality you come across. A simple T or F will do.
  • Probability as a Fraction - Determine the probability of every event in the form of a fraction.
  • Solve Simultaneous Linear Equations - This is always the point in algebra where kids say "What the heck is that?" Make sure they master this skill before moving on, it's critical.
  • Monomial, Binomial, and Polynomial Operations - We take these sets and throw them through various operations. We concentrate mostly on products and quotients here.
  • Graphing Linear Inequalities - These are the baby steps to full on graphing inequalities. At this point we are just looking for a directional line and point.
  • Logarithms - We focus on the conversion and calculations with logs and log form.
  • Using Pythagorean Theorem - We really give the Pythagorean Theorem a work out. First, determine if you have a 90 degree angle in the triangle. Second, find the length of a side and measurement all using the Theorem.
  • Midpoints and Equations of Straight Lines - We give you two points on the path of a line. We then ask to find the midpoint of those two points on the line and the equation of said line. Who knew lines had such a personality?

What Do Students Learn in the 8th Grade Math?

You can make math a treat for everyone who chooses to engage in it. Many children don't enjoy Math as it gets more complex through the years. 8th Grade is particularly challenging as it remains the difference between middle and high school. Thus, it's necessary that as a teacher, you're on par with all that you need to teach your student in 8th Grade. This way, their transition into high school is much easier.

What Math Should a Student in 8th Grade Already Know?

A student in 8th Grade should already have some idea about operation, algebra, and geometry. They should also have spatial and number senses. The 8th Grade students you teach should already know something about the representation of numbers in Standard Form. They should also know about numerical representation in the expanded and scientific notification. One of the important topics that they should be aware of is surrounding ratios and rates. 8th Grade is meant to expound on these concepts, but general awareness and concepts are necessary for these students.

Identification of ratios and rates is also necessary. The students should know how they will multiply and divide with positive and negative rational numbers. Topics of finding the perimeter and area of 2D figures are also essential. They must be aware of the process of plotting graphs and isolating quadrants within these graphs.

Finally, they should also know about the concept of probability and how to calculate the probability of dependent and independent events.

Topics Covered

8th Grade Math is all about the combination of new and old topics. You may have to conduct a fair amount of revision before delving into the newer topics. When students return from the summer break, they will have quite the brain fog. Thus, it's better to start with topics they are vaguely aware of, such as ratio and proportion. It's wise to start with something they can use daily as it helps them define the concept's applicability.

The next topic would involve number systems which involve the scientific notation of the numbers. There is also the distinction between rational and irrational numbers that students must know. Negative and positive numbers also help decide a certain number's absolute value.

Next, the topic involves the comparison of scientific notations to further cement what a scientific notation is. Standard arithmetic is also helpful with these scientific notations. Thus, it's necessary to know the concepts in these topics and how to carry them out.

8th Graders are also terribly focused on real numbers. 8th grade is the last time you can inform them about math fundamentals before they head off to high school. Thus, it would be best if you taught them to convert fractions to decimals and vice versa. Determining the roots of these numbers is also essential. They would also have to know the properties of these real numbers to identify them, so there's a fair bit of theoretical knowledge involved.

8th Grade is a step up from Seventh Grade; therefore, it comes with more complicated expressions and equations. Calculating the subject of the formula and other more complicated expressions is an integral portion of the syllabus. You need to inform your students about further elaboration on inequalities and substitution.

Many seventh-grade topics, like the Pythagorean theorems, transformations, and geometry, are much more advanced. These topics are cycled back, and new concepts are introduced alongside them. The students learn how to analyze equations and identify their solutions.

Students will also learn a fair bit about geometry and polygons, along with the proportional relationships and transformations that help establish regular shapes. Students will also identify congruency and similarity in triangles to calculate sides and angles within a pair of similar and congruent triangles.

Geometry is not only confined to that of two-dimensional shapes, and students have to learn the geometry used for three-dimensional shapes, which involves concepts of surface area and volume. The syllabus also includes learning about regular and irregular polygons and prisms.

Graphing is a significant topic in 8th Grade. The students must learn about inequalities, equations, and other expressions and how to present them on a graph. They must also learn how to calculate the slope or gradient of a set of values to determine a line's equation. They also have to learn about the applications of linear inequalities.

Graphing also involves finding linear relationships, such as finding x and y-intercepts and calculating functions. One of the central concepts that the students must know about is the y = mx + b concept, which is necessary for calculating equations.

Functions, Probability, and Statistics are three of the most outstanding and complex concepts in 8th Grade. However, they are also the ones that are likely to be the most practically used. Functions involve graphical representation, and probability trees are a simple way to explain probability to students. Statistics involve breaking down data in terms of the mean, median, and mode. Most students find statistics quite a fun chapter, but it narrows down to how you teach it.

Is It a Challenging Year?

8th Grade Math can be pretty challenging for those students who don't practice or pay attention. For such students, you must afford some extra care. There are many new concepts that most 8th graders have to grapple with, such as geometry and algebraic manipulation. 8th-grade math is also particularly challenging because it introduces many real-life problems for the students.

Students will learn about money and interest, which will serve them quite well in the coming years. 8th Grade also focuses on word problems and disguised math problems. Applying these word problems can also help students in their practical life. The rules are increasingly tricky in 8th-grade math. The percentages are now greater than 100, and the pressure to compete is all present.

Final Thoughts

8th Grade Math need not be complicated if teachers engage with the students. Math involves connection to the brain as any other subject does. However, there are different ways to pique an 8th grader's interest, and once one finds a way to do that, 8th grade Math can be quite straightforward.

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8th Grade Mathematics Worksheets: FREE & Printable

Looking for free printable Math worksheets and exercises to help your 8th-grade students prepare for the 8th Grade Mathematics test?

8th Grade Mathematics Worksheets: FREE & Printable

Need 8th Grade Mathematics Practice exercises and activities to measure your students’ exam readiness? want great 8th Grade Math worksheets to help your students review and master math concepts? If so, then look no further.

Here is a comprehensive and perfect collection of FREE 8th Grade Mathematics worksheets that would help your students in 8th Grade Math preparation and practice.

You can download free 20+ 8th grade math worksheets from Bytelearn.

Download our free Mathematics worksheets for the 8th Grade test.

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. 

You Do NOT have permission to send these worksheets to anyone in any way (via email, text messages, or other ways). They MUST download the worksheets themselves. You can send the address of this page to your students, tutors, friends, etc.

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Related Topics

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The BEST Prep Book to Help Your Student ACE the Grade 8 Math!

Mastering Grade 8 Math The Ultimate Step by Step Guide to Acing 8th Grade Math

8th grade mathematics concepts, whole numbers.

  • Whole Number Addition and Subtraction
  • Whole Number Multiplication and Division
  • Rounding and Estimates

Fractions and Decimals

  • Simplifying Fractions
  • Adding and Subtracting Fractions
  • Multiplying and Dividing Fractions
  • Adding and Subtracting Mixed Numbers
  • Multiplying and Dividing Mixed Numbers
  • Adding and Subtracting Decimals
  • Multiplying and Dividing Decimals
  • Comparing Decimals
  • Rounding Decimals
  • Factoring Numbers
  • Greatest Common Factor
  • Least Common Multiple

Real Numbers and Integers

  • Adding and Subtracting Integers
  • Multiplying and Dividing Integers
  • Order of Operations
  • Ordering Integers and Numbers
  • Integers and Absolute Value

Proportions, Ratios, and Percent

  • Simplifying Ratios
  • Proportional Ratios
  • Similarity and Ratios
  • Ratio and Rates Word Problems
  • Percentage Calculations
  • Percent Problems
  • Discount, Tax and Tip
  • Percent of Change
  • Simple Interest

Algebraic Expressions

  • Simplifying Variable Expressions
  • Simplifying Polynomial Expressions
  • Translate Phrases into an Algebraic Statement
  • The Distributive Property
  • Evaluating One Variable Expressions
  • Evaluating Two Variables Expressions
  • Combining like Terms

Equations and Inequalities

  • One-Step Equations
  • Multi-Step Equations
  • Graphing Single–Variable Inequalities
  • One-Step Inequalities
  • Multi-Step Inequalities

Systems of Equations

  • Systems of Equations Word Problems
  • Quadratic Equation

The Best Math Study Guide for 8th-Grade Students!

Grade 8 Math for Students The Ultimate Step by Step Guide to Preparing for the Grade 8 Math Test

Linear functions.

  • Finding Slope
  • Graphing Lines Using Line Equation
  • Writing Linear Equations
  • Graphing Linear Inequalities
  • Finding Midpoint
  • Finding Distance of Two Points

Exponents and Radicals

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

Polynomials

  • Writing Polynomials in Standard Form
  • Simplifying Polynomials
  • Adding and Subtracting Polynomials
  • Multiplying Monomials
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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, staar grade 8 math comprehensive prep bundle a perfect resource for staar math test takers.

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

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Math worksheets take forever to hunt down across the internetKhan Academy is your one-stop-shop for practice from arithmetic to calculus
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