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Students learn the basic concepts of algebra, geometry, and graphing before entering high school and learning more complicated topics. It is crucial that students completely grasp these concepts before going on to harder topics like trigonometry or calculus. With our on-demand videos students have the opportunity to go over math problems with a math teacher who knows how to break it down in an easily digestible format.

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Printable 8th Grade Math Worksheets

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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!

Select Grade 8 Math Worksheets by Topic

Explore 2,400+ Eighth Grade Math Worksheets

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

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

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

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

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

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

Congruence | Congruent Parts

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

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

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

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

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

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

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

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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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 Algebra Worksheets

8th Grade Algebra worksheets can help students understand different algebraic identities and practice questions based on them. Algebra might seem a complex topic at first but solving algebra worksheets can help students get used to the topic and strengthen their concept.

Benefits of Pre Algebra Worksheets for 8th Graders

The benefits of 8th grade algebra worksheets are that they contain examples of problems and vital algebraic formulas that are required to practice different types of problems. These 8th grade math worksheets represent problems like equations, word problems, long format questions, etc. in the simplest visual manner where students can understand the concepts clearly and in a detailed step-by-step procedure. Algebra worksheets for grade 8 by Cuemath provide answer keys as well for students to refer to for help as and when they feel they missed out on a step or need more clarity on a particular problem.

Printable PDFs for 8th Grade Algebra Worksheets

Algebra worksheets for 8th grade can be easily downloaded in PDF formats for free. Cuemath worksheets come with answer keys to provide stepwise support to students while solving problems.

• Math 8th Grade Algebra Worksheet
• Grade 8 Math Algebra Worksheet
• 8th Grade Math Algebra Worksheet
• Grade Eight Algebra Worksheet

Explore more topics at Cuemath's Math Worksheets .

Grade 8 Algebra Word Problems

These lessons cover some examples and solutions for algebra word problems that you will commonly encounter in grade 8.

Related Pages More Math Word Problems Algebra Word Problems

How to write algebra word problems into systems of linear equations and solve systems of linear equations using elimination and substitution methods?

Grade 8 Algebra Word Problems How to solve algebra word problems using systems of linear equations?

Example: Devon is going to make 3 shelves for her father. He has a piece of lumber 12 feet long. She wants the top shelf to be half a foot shorter than the middle shelf, and the bottom shelf to be half a foot shorter than twice the length of the top shelf. How long will each shelf be if she uses the entire 12 feet of wood?

Grade 8 Algebra Word Problems - Line Segments

Example: If JK = 7x + 9, JL = 114 and KL = 9x + 9. Find KL.

Grade 8 number word problems - common core How to write word problems into systems of linear equations and solve systems of linear equations using elimination and substitution methods?

Example 1: The sum of two numbers is 361 and the difference between the two numbers is 173. What are the two numbers?

Example 2: There are 356 Grade 8 students at Euclid’s Middle School. Thirty-four more than four times the number of girls is equal to half the number of boys. How many boys are in Grade 8 at Euclid’s Middle School? How many girls?

Example 3: A family member has some five-dollar bills and one-dollar bills in their wallet. Altogether she has 18 bills and a total of $62. How many of each bill does she have?

Example 1: A friend bought 2 boxes of pencils and 8 notebooks for school and it cost him $11. He went back to the store the same day to buy school supplies for his younger brother. He spent $11.25 on 3 boxes of pencils and 5 notebooks. How much would notebooks cost?

• A farm raises cows and chickens. The farmer has a total of 42 animals. One day he counts the legs of all of his animals and realizes he has a total of 114. How many cows does the farmer have? How many chickens?
• The length of a rectangle is 4 times the width. The perimeter of the rectangle is 45 inches. What is the area of the rectangle?
• The sum of the measures of angles x and y is 127". If the measure of angle x is 34° more than half the measure of angle y, what is the measure of each angle?

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Free Printable Math Word Problems Worksheets for 8th Grade

Math Word Problems: Discover a vast collection of free printable worksheets for Grade 8 students, created by Quizizz. Enhance your students' problem-solving skills and mathematical understanding with these comprehensive resources.

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Explore printable Math Word Problems worksheets for 8th Grade

Math Word Problems worksheets for Grade 8 are an essential resource for teachers looking to challenge their students and help them develop critical thinking and problem-solving skills. These worksheets cover a wide range of topics, including algebra, geometry, and statistics, ensuring that students have a solid foundation in math. By incorporating real-life scenarios and engaging themes, these worksheets not only make math more relatable but also help students see the practical applications of the concepts they are learning. Teachers can easily incorporate these worksheets into their lesson plans, using them as supplementary material, homework assignments, or even as assessment tools. With a variety of difficulty levels and question types, Math Word Problems worksheets for Grade 8 cater to the diverse needs of students and ensure that they are well-prepared for future math courses.

Quizizz is a fantastic platform that offers not only Math Word Problems worksheets for Grade 8 but also a plethora of other resources for teachers to enhance their students' learning experience. With Quizizz, teachers can create interactive quizzes, polls, and presentations to engage students and make learning fun. The platform also allows teachers to track their students' progress and identify areas where they may need additional support. In addition to Math Word Problems worksheets for Grade 8, Quizizz offers resources for other subjects and grade levels, making it a one-stop-shop for all your educational needs. The user-friendly interface and customizable features make Quizizz an invaluable tool for teachers looking to incorporate technology into their classrooms and provide their students with a dynamic and interactive learning experience.

Quiz 8th-Graders With These Math Word Problems

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Solving math problems can intimidate eighth-graders . It shouldn't. Explain to students that you can use basic algebra and simple geometric formulas to solve seemingly intractable problems. The key is to use the information you are given and then isolate the variable for algebraic problems or to know when to use formulas for geometry problems. Remind students that whenever they work a problem, whatever they do to one side of the equation, they need to do to the other side. So, if they subtract five from one side of the equation, they need to subtract five from the other.

The free, printable worksheets below will give students a chance to work problems and fill in their answers in the provided blank spaces. Once the students have completed the work, use the worksheets to do quick formative assessments  for an entire math class.

Worksheet No. 1

 Deb Russell

Print the PDF :   Worksheet No. 1

On this PDF, your students will solve problems such as:

"5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?"

Explain to students that they'll need to consider what they do know, such as the total price of five hockey pucks and three hockey sticks ($23) as well as the total price for five hockey pucks and one stick ($20). Point out to students that they'll start with two equations, with each providing a total price and each including five hockey sticks.

Worksheet No. 1 Solutions

Print the PDF :   Worksheet No. 1 Solutions

To solve the first problem on the worksheet, set it up as follows: 

Let "P" represent the variable for "puck"

Let "S" represent the variable for "stick"

So, 5P + 3S = $23, and 5P + 1S = $20

Then, subtract one equation from the other (since you know the dollar amounts):

5P + 3S - (5P + S) = $23 - $20. 

5P + 3S - 5P - S = $3. Subtract 5P from each side of the equation, which yields: 2S = $3. Divide each side of the equation by 2, which shows you that S = $1.50

Then, substitute $1.50 for S in the first equation:

5P + 3($1.50) = $23, yielding 5P + $4.50 = $23. You then subtract $4.50 from each side of the equation, yielding: 5P = $18.50.

Divide each side of the equation by 5 to yield:

P = $3.70

Note that the answer to the first problem on the answer sheet is incorrect.  It should be $3.70 . The other answers on the solution sheet are correct.

Worksheet No. 2

Print PDF : Worksheet No. 2

To solve the first equation on the worksheet, students will need to know the equation for a rectangular prism (V = lwh, where "V" equals volume, "l" equals the length, "w" equals the width, and "h" equals the height). The problem reads as follows:

"Excavation for a pool is being done in your backyard. It measures 42F x 29F x 8F. The dirt will be taken away in a truck that holds 4.53 cubic feet How many truckloads of dirt will be taken away?"

Worksheet No. 2 Solutions

Deb Russell

Print PDF : Worksheet No. 2 Solutions

To solve the problem, first, calculate the total volume of the pool. Using the formula for the volume of a rectangular prism (V = lwh), you would have:

V = 42F x 29F x 8F = 9,744 cubic feet

Then, divide 9,744 by 4.53, or:

9,744 cubic feet ÷ 4.53 cubic feet (per tuckload) = 2,151 truckloads

You can even lighten up the atmosphere of your class by exclaiming: "You are going to have to use quite a few truckloads to build that pool."

Note that the answer on the solution sheet for this problem is incorrect. It should be 2,151 cubic feet. The rest of the answers on the solution sheet are correct.

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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?

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.

In addition, if your students need help with writing assignments, the experts from the Bid For Writing company will easily assist them in this.

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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
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Equations and Inequalities

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Systems of Equations

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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
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• Finding Midpoint
• Finding Distance of Two Points

Exponents and Radicals

• Multiplication Property of Exponents
• Zero and Negative Exponents
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• Powers of Products and Quotients
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• Square Roots

Polynomials

• Writing Polynomials in Standard Form
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• Multiplying Binomials
• Factoring Trinomials
• Operations with Polynomials

Geometry and Solid Figures

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• Rectangular Prism
• Pyramids and Cone

Statistics and Probability

• Mean and Median
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The BEST Practice Book for 8th Grade Math!

Mastering Grade 8 Math Word Problems The Ultimate Guide to Tackling 8th Grade Math Word Problems

8th grade math exercises, proportions and ratios, solid figures, function operations.

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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, 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 )

Effortless Math Team

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Math Word Problems with Answers - Grade 8

Grade 8 math word problems with answers are presented. Also solutions and explanations are included.

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FREE 8th Grade Math Practice Tests

All 8th grade math resources, free 8th grade math practice tests, practice tests by concept, algebra practice test, data practice test, geometry practice test, number sense practice test, statistics practice test, practice quizzes, 8th grade math problem set 1.

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15 Pythagorean Theorem Practice Problems For 8th Grade

Beki Christian

Pythagorean Theorem practice problems involve using the relationship between the sides of a right triangle to calculate missing side lengths in triangles. The Pythagorean Theorem is introduced in 8th grade and is used to solve a variety of problems across high school.

Here, you’ll find a selection of Pythagorean Theorem questions that demonstrate the different types of questions students are likely to encounter in 8th grade.

What is the Pythagorean Theorem?

The Pythagorean Theorem is the geometric theorem that states that the square of the hypotenuse (longest side) of a right triangle is equal to the sum of the squares of the two shorter sides of the triangle.

This can be written as a^2+b^2=c^2 for a triangle labeled like this:

15 Pythagoras Theorem Practice Problems

Find all of the Pythagoras Theorem questions included in this blog in this easy to download resource. Suitable for 8th grade students. Includes answer key.

How to answer Pythagorean Theorem questions

1 – Label the sides of the triangle a , b , and c . Note that the hypotenuse, the longest side of a right triangle, is opposite the right angle and will always be labeled .

2 – Write down the formula and substitute the values>

3 – Calculate the answer. You may be asked to give your answer in an exact form or round to a given degree of accuracy, such as a certain number of decimal places or significant figures.

Pythagorean Theorem in real life

Pythagorean Theorem has many real-life uses, including in architecture and construction, navigation and surveying.

Pythagorean Theorem in 8th grade

Pythagorean Theorem is usually introduced in middle school, as it is a part of the 8th grade Common Core Math Standards.

The emphasis in middle school is on students being able to:

• Explain the Pythagorean Theorem;
• Use the theorem to solve mathematical and real-world problems – with both 2D and 3D figures;
• Use the theorem to calculate the distance between two points on a coordinate grid.

The process for solving any Pythagoras Theorem problem always begins by identifying the relevant right-angled triangle and labeling the sides a , b , c. If there is not a diagram in the question, it can be helpful to draw one.

Where necessary, round your answers to 3 significant figures.

Pythagorean Theorem practice problems

1. A ship sails 6 \, km East and then 8 \, km North. Find the ship’s distance from its starting point.

The ship is 10 kilometers from its starting point.

2. A ladder is 5 \, m long. The base of the ladder is 3 \, m from the base of a vertical wall. How far up the wall does the ladder reach?

The ladder reaches 4 meters up the wall.

3. Alex and Sam start from the same point. Alex walks 400 meters west. Sam walks x meters south, until they are 600 \, m apart from each other. How far does Sam walk?

4. A television’s size is the measurement from the upper left hand corner of the television to the bottom right hand corner. Find the size of this television.

39.7 inches

55.1 inches

5. The pole of a sailing boat is supported by a rope from the top of the pole to an anchor point on the deck. The pole is 4 \, m long and the rope is 4.5 \, m long. Calculate the distance from the base of the pole to the anchor point of the rope on the deck.

6. Work out the length of the diagonal of a square with 8 \, cm sides.

The diagonal of the square has a length of 11.3 centimeters.

7. ABC is an isosceles triangle.

Work out the height of the triangle.

8. ABCD is an isosceles trapezoid.

Work out the length of AD.

9. Here is a cm square grid. Calculate the distance between the points A and B.

10. Which is a right angled triangle?

Not a right angled triangle because Pythagorean Theorem doesn’t work.

Right angled triangle because Pythagorean Theorem works.

11. PQRS is made from two right angled triangles.

Work out the length of QR.

Triangle \text{PQS:}

Triangle \text{QRS}

12. Here is a pattern made from right angled triangles. Work out the length x.

Triangle \text{ABC:}

Triangle \text{ACD:}

13. Here is a pyramid.

Work out the height of the pyramid.

14. Here is a cuboid.

Work out the length AG.

Give your answer in its exact form.

Length of \text{BG:}

Length of \text{AG:}

15. Here is a right angled triangle.

Form an equation and use it to work out the value of x.

x=4 \, or \, x=12

x cannot be 4 as you can’t have a negative side length so x=12

Pythagorean Theorem in middle school

In middle school, students…

• prove the Pythagorean Theorem;
• use the Pythagorean Theorem with trigonometric ratios to solve problems;
• use the Pythagorean Theorem in proofs.

Pythagoras Theorem may feature in questions alongside other topics, such as trigonometry, circle theorems or algebra.

The Pythagorean Theorem is used to calculate a missing length in a right triangle . If you have a right angled triangle and you know two of the lengths, label the sides of the triangle a,b and c (c must be the hypotenuse – the longest side). Pythagorean Theorem is a^2+b^2=c^2. Substitute the values you know into Pythagorean Theorem and solve to find the missing side.

The hypotenuse of a right triangle is the longest side. If you know the lengths of the other two sides, you can find the length of the hypotenuse by squaring the two shorter sides, adding those values together and then taking the square root. By doing this you are finding c in a^2+b^2=c^2

If your triangle is a right triangle and you know two of the sides, you can use Pythagorean Theorem to find the length of the third side. To do this, label the sides a , b and c (with c being the hypotenuse – the longest side). Substitute the values you know into a^2+b^2=c^2 and solve to find the missing side.

Looking for more Pythagorean theorem math questions?

• Ratio questions
• Algebra questions
• Probability questions
• Trigonometry questions
• Venn diagram questions
• Long division questions

RELATED RESOURCE :

• 6th Grade Math Problems
• 7th Grade Math Problems
• 8th grade math problems

Do you have students who need extra support in math? Give your students more opportunities to consolidate learning and practice skills through personalized math tutoring with their own dedicated online math tutor. Each student receives differentiated instruction designed to close their individual learning gaps, and scaffolded learning ensures every student learns at the right pace. Lessons are aligned with your state’s standards and assessments, plus you’ll receive regular reports every step of the way. Personalized one-on-one math tutoring programs are available for: – 2nd grade tutoring – 3rd grade tutoring – 4th grade tutoring – 5th grade tutoring – 6th grade tutoring – 7th grade tutoring – 8th grade tutoring Why not learn more about how it works ?

The content in this article was originally written by former UK Secondary teacher Beki Christian and has since been revised and adapted for US schools by elementary and middle school teacher Kathleen Epperson.

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Math Games for 6th Graders [FREE]

On the lookout to make your math lessons fun and interactive while building math skills? Try our 6 printable math games for 6th graders.

Playable in pairs, teams or a whole class, our accompanying instructions and printable resources make preparation a breeze!

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8th Grade Math Practice, Topics, Test, Problems, and Worksheets

• Eureka Math Grade 8 Answer Key

Go Math Grade 8 Answer Key

Big ideas math answers grade 8.

Do you have a test coming up and scared about what to prepare for in 8th Grade Math? Don’t Fret as we have included the bunch of topics that you might come across in Grade 8 Maths all in one place.

Check out Chapterwise Go Math 8th Grade Answer Key available here during your practice sessions. Make the most out of them and score better grades in your exams. You can access whichever chapter you feel like preparing by tapping on the quick links listed below. Once you click on them you will be redirected to the concerned chapter in no time.

Grade 8 HMH Go Math – Answer Keys

• Chapter 1 Real Numbers
• Chapter 2 Exponents and Scientific Notation
• Chapter 3 Proportional Relationships
• Chapter 4 Nonproportional Relationships
• Chapter 5 Writing Linear Equations
• Chapter 6 Functions
• Chapter 7 Solving Linear Equations
• Chapter 8 Solving Systems of Linear Equations
• Chapter 9 Transformations and Congruence
• Chapter 10 Transformations and Similarity
• Chapter 11 Angle Relationships in Parallel Lines and Triangles
• Chapter 12 The Pythagorean Theorem
• Chapter 13 Volume
• Chapter 14 Scatter Plots
• Chapter 15 Two-Way Tables

Access our Big Ideas Math 8th Grade Answers listed below to resolve all your queries on the Chapters involved. Don’t worry about the accuracy of the Big Ideas Math Grade 8 Solutions as they are given after extensive research. Start Practicing the Chapterwise BIM 8th Grade Answers and no longer feel the concepts of Big Ideas Math Grade 8th difficult.

• Chapter 1 Equations
• Chapter 2 Transformations
• Chapter 3 Angles and Triangles
• Chapter 4 Graphing and Writing Linear Equations
• Chapter 5 Systems of Linear Equations
• Chapter 6 Data Analysis and Displays
• Chapter 7 Functions
• Chapter 8 Exponents and Scientific Notation
• Chapter 9 Real Numbers and the Pythagorean Theorem
• Chapter 10 Volume and Similar Solids

8th Grade Math Topics

Teaching Grade 8 Math Topics effectively will help your kids to advance their math reasoning and logical ability. Confidence and ability to learn will be improved by referring to the 8th Standard Math Topics available. Thus, they will be prepared for high school studies. If you want to learn more about the 8th Grade Math Concepts have an insight into the below topics and get an idea of what is included in the 8th Grade Curriculum.

All you have to do is simply tap on the quick links available to avail the respective topics and get a grip on them. We included both the theoretical part as well as worksheets for your practice. Our 8th Grade Math Worksheets make it easy for you to test your preparation standard on the corresponding topics. Identify the knowledge gap and improvise on the topics you are facing difficulty with.

Ratio and Proportion

• What is Ratio and Proportion?
• Practice Test on Ratio and Proportion
• Worked out Problems on Ratio and Proportion

Ratio and Proportion – Worksheets

• Worksheet on Ratio and Proportion
• Significant Figures

Significant Figures – Worksheets

• Worksheet on Significant Figures
• Perfect Square or Square Number
• Properties of Perfect Squares

Square – Worksheets

• Worksheet on Squares
• Square Root
• Square Root of a Perfect Square by using the Prime Factorization Method
• Square Root of a Perfect Square by Using the Long Division Method
• Square Root of Numbers in the Decimal Form
• Square Root of Number in the Fraction Form
• Square Root of Numbers that are Not Perfect Squares
• Table of Square Roots
• Practice Test on Square and Square Roots

Square Root- Worksheets

• Worksheet on Square Root using Prime Factorization Method
• Worksheet on Square Root using Long Division Method
• Worksheet on Square Root of Numbers in Decimal and Fraction Form
• Algebraic Expression
• Addition of Algebraic Expressions
• Subtraction of Algebraic Expressions
• Multiplication of Algebraic Expression
• Division of Algebraic Expressions
• Formula and Framing the Formula
• Change the Subject of a Formula
• Changing the Subject in an Equation or Formula
• Practice Test on Framing the Formula

Formula – Worksheets

• Worksheet on Framing the Formula
• Worksheet on Changing the Subject of a Formula
• Worksheet on Changing the Subject in an Equation or Formula
• Factorization
• Factors of Algebraic Expressions
• Monomial is a Common Factor
• Factorization when Monomial is Common
• Binomial is a Common Factor
• Factorization when Binomial is Common
• Factorization by Grouping
• Factorize by Grouping The Terms
• Factoring Terms by Grouping
• Factorization by Regrouping
• Factorize by Regrouping The Terms
• Factoring Terms by Regrouping
• Factorization by Using Identities
• Factorization of Perfect Square
• Factorization of Perfect Square Trinomials
• Difference of Two Squares
• Factoring Differences of Squares
• Factorize the Difference of Two Squares
• Evaluate the Difference of Two Squares
• Factorize the Trinomial x^2 + px + q
• Factorize the Trinomial ax^2 + bx + c
• Factorization of Quadratic Trinomials

Factorization – Worksheet

• Worksheet on Factoring Algebraic Expression
• Worksheet on Factoring Binomials
• Worksheet on Factoring by Grouping
• Worksheet on Factorization by Regrouping
• Worksheet on Factoring out a Common Binomial Factor
• Worksheet on Factoring Identities
• Worksheet on Factoring the Differences of Two Squares
• Worksheet on Factorization using Formula
• Worksheet on Factoring Trinomials
• Worksheet on Factoring Simple Quadratics
• Worksheet on Factoring Quadratic Trinomials
• Worksheet on Factoring Trinomials by Substitution
• Worksheet on Factorization
• What is a Linear Equation?
• How to Solve Linear Equations?
• Solving Linear Equations
• Problems on Linear Equations in One Variable
• Word Problems on Linear Equations in One Variable
• Practice Test on Linear Equations
• Practice Test on Word Problems on Linear Equations

Equations – Worksheets

• Worksheet on Linear Equations
• Worksheet on Word Problems on Linear Equation
• Simultaneous Linear Equations
• Comparison Method
• Elimination Method
• Substitution Method
• Cross-Multiplication Method
• Solvability of Linear Simultaneous Equations
• Pairs of Equations in Two Variables
• Word Problems on Simultaneous Linear Equations
• Practice Test on Word Problems Involving Simultaneous Linear Equations

Simultaneous Linear Equations – Worksheets

• Worksheet on Simultaneous Linear Equations
• Worksheet on Problems on Simultaneous Linear Equations

Linear Inequations

• What are Linear Inequality?
• What are Linear Inequations?
• Properties of Inequation or Inequalities
• Representation of the Solution Set of an Inequation
• Practice Test on Linear Inequation

Linear Inequations – Worksheets

• Worksheet on Linear Inequations
• Quadratic Equations

Quadratic Equations – Worksheets

• Worksheet on Quadratic Equations
• Fraction into Percentage
• Percentage into Fraction
• Percentage into Ratio
• Ratio into Percentage
• Percentage into Decimal
• Decimal into Percentage
• Percentage of the given Quantity
• How much Percentage One Quantity is of Another?
• Percentage of a Number
• Increase Percentage
• Decrease Percentage
• Basic Problems on Percentage
• Solved Examples on Percentage
• Problems on Percentage
• Real-Life Problems on Percentage
• Word Problems on Percentage
• Application of Percentage

Percentage – Worksheets

• Worksheet on Fraction into Percentage
• Worksheet on Percentage into Fraction
• Worksheet on Percentage into Ratio
• Worksheet on Ratio into Percentage
• Worksheet on Percentage into Decimal
• Worksheet on Percentage of a Number
• Worksheet on Finding Percent
• Worksheet on Finding Value of a Percentage
• Worksheet on Percentage of a Given Quantity
• Worksheet on Word Problems on Percentage
• Worksheet on Increase Percentage
• Worksheet on Decrease Percentage
• Worksheet on increase and Decrease Percentage
• Worksheet on Expressing Percent
• Worksheet on Percent Problems
• Worksheet on Finding Percentage

Profit, Loss, and Discount

• Calculating Profit Percent and Loss Percent
• Word Problems on Profit and Loss
• Examples on Calculating Profit or Loss
• Practice Test on Profit and Loss
• Practice Test on Profit Loss and Discount

Profit, Loss, and Discount – Worksheets

• Worksheet to Find Profit and Loss
• Worksheets on Profit and Loss Percentage
• Worksheet on Gain and Loss Percentage
• Worksheet on Discounts
• Time and Work
• Pipes and Cistern
• Practice Test on Time and Work

Time and Work – Worksheets

• Worksheet on Time and Work

Time and Distance

• Speed of Train
• Relationship between Speed, Distance and Time
• Conversion of Units of Speed
• Problems on Calculating Speed
• Problems on Calculating Distance
• Problems on Calculating Time
• Two Objects Move in Same Direction
• Two Objects Move in Opposite Direction
• Train Passes a Moving Object in the Same Direction
• Train Passes a Moving Object in the Opposite Direction
• Train Passes through a Pole
• Train Passes through a Bridge
• Two Trains Passes in the Same Direction
• Two Trains Passes in the Opposite Direction

Time and Distance – Worksheets

• Worksheet on Conversion of Units of Speed
• Worksheet on Calculating Time
• Worksheet on Calculating Speed
• Worksheet on Calculating Distance
• Worksheet on Train Passes through a Pole
• Worksheet on Train Passes through a Bridge
• Worksheet on Relative Speed
• Worksheet on Decimal into Percentage

Simple Interest

• What is Simple Interest?
• Calculate Simple Interest
• Practice Test on Simple Interest

Simple Interest – Worksheets

• Simple Interest Worksheet
• Compound Interest
• Compound Interest with Growing Principal
• Compound Interest with Periodic Deductions
• Compound Interest by Using Formula
• Compound Interest when Interest is Compounded Yearly
• Compound Interest when Interest is Compounded Half-Yearly
• Compound Interest when Interest is Compounded Quarterly
• Problems on Compound Interest
• Variable Rate of Compound Interest
• Difference of Compound Interest and Simple Interest
• Practice Test on Compound Interest
• Uniform Rate of Growth
• Uniform Rate of Depreciation
• Uniform Rate of Growth and Depreciation

Compound Interest – Worksheet

• Worksheet on Compound Interest
• Worksheet on Compound Interest when Interest is Compounded Half-Yearly
• Worksheet on Compound Interest with Growing Principal
• Worksheet on Compound Interest with Periodic Deductions
• Worksheet on Variable Rate of Compound Interest
• Worksheet on Difference of Compound Interest and Simple Interest
• Worksheet on Uniform Rate of Growth
• Worksheet on Uniform Rate of Depreciation
• Worksheet on Uniform Rate of Growth and Depreciation

Ratio and Proportion (Direct & Inverse Variation)

• Direct Variation
• Inverse Variation
• Practice Test on Direct Variation and Inverse Variation
• Worksheet on Direct Variation
• Worksheet on Inverse Variation
• Probability

Probability – Worksheets

• Worksheet on Probability
• Lines and Angles
• Basic Geometrical Concepts
• Classification of Angles
• Related Angles
• Some Geometric Terms and Results
• Complementary Angles
• Supplementary Angles
• Complementary and Supplementary Angles
• Adjacent Angles
• Linear Pair of Angles
• Vertically Opposite Angles
• Parallel Lines
• Transversal Line
• Parallel and Transversal Lines
• Parallelogram
• Properties of a Rectangle Rhombus and Square
• Problems on Parallelogram
• Practice Test on Parallelogram

Parallelogram – Worksheet

• Worksheet on Parallelogram
• Quadrilateral
• What is Quadrilateral?
• Different Types of Quadrilaterals
• Construction of Quadrilaterals
• Construct Different Types of Quadrilaterals

Quadrilateral – Worksheets

• Quadrilateral Worksheet
• Worksheet on Construction on Quadrilateral
• Worksheet on Different Types of Quadrilaterals
• Three-Dimensional Figures

Three-Dimensional Figures – Worksheets

• Worksheet on Three Dimensional Figures
• Mensuration
• Area and Perimeter
• Perimeter and Area of Rectangle
• Perimeter and Area of Square
• Area of the Path
• Area and Perimeter of the Triangle
• Area of Parallelogram
• Area of Rhombus
• Area of Trapezium
• Circumference and Area of Circle
• Area Conversion
• Practice Test on Area and Perimeter of Rectangle
• Practice Test on Area and Perimeter of Square

Mensuration – Worksheets

• Worksheet on Area and Perimeter of Rectangles
• Worksheet on Area and Perimeter of Squares
• Worksheet on Area of the Path
• Worksheet on Circumference and Area of Circle
• Worksheet on Area and Perimeter of Triangle

Volume and Surface Area of Solids

• Volume of Cubes and Cuboids
• Worked-out Problems on Volume of a Cuboid
• Area of a Trapezium
• Area of a Polygon

Area of a Trapezium – Worksheet

• Worksheet on Trapezium
• Worksheet on Area of a Polygon

Area Proposition

• Figure on Same Base and between Same Parallels
• Parallelograms on Same Base and between Same Parallels
• Parallelograms and Rectangles on Same Base and between Same Parallels
• Triangle and Parallelogram on Same Base and between Same Parallels
• Triangle on Same Base and between Same Parallels

Area Proposition – Worksheets

• Worksheet on Same Base and Same Parallels
• Data Handling
• Frequency Distribution
• Grouping of Data

Data Handling – Worksheet

• Worksheet on Data Handling

Constructing and Interpreting Bar Graphs or Column Graphs

• Bar Graph or Column Graph

Bar Graphs or Column Graphs – Worksheets

• Worksheet on Bar Graphs or Column Graphs

Pie Charts or Pie Graphs

Pie charts or pie graphs – worksheets.

• Worksheet on Pie Chart

Coordinate Geometry

• Coordinate Graph
• Ordered pair of a Coordinate System
• Plot Ordered Pairs
• Coordinates of a Point
• All Four Quadrants
• Signs of Coordinates
• Find the Coordinates of a Point
• Coordinates of a Point in a Plane
• Plot Points on Co-ordinate Graph
• Graph of Linear Equation
• Simultaneous Equations Graphically
• Graphs of Simple Function
• Graph of Perimeter vs. Length of the Side of a Square
• Graph of Area vs. Side of a Square
• Graph of Simple Interest vs. Number of Years
• Graph of Distance vs. Time

Coordinate Geometry – Worksheet

• Worksheet on Coordinate Graph
• Sets Theory
• Representation of a Set
• Types of Sets
• Finite Sets and Infinite Sets
• Problems on Union of Sets
• Problems on Intersection of Sets
• Difference of two Sets
• Complement of a Set
• Problems on Complement of a Set
• Problems on Operation on Sets
• Word Problems on Sets
• Venn Diagrams in Different Situations
• Relationship in Sets using Venn Diagram
• Union of Sets using Venn Diagram
• Intersection of Sets using Venn Diagram
• Disjoint of Sets using Venn Diagram
• Difference of Sets using Venn Diagram
• Examples on Venn Diagram

Relations and Mapping

• Ordered Pair
• Cartesian Product of Two Sets
• Domain and Range of a Relation
• Practice Test on Math Relation
• Functions or Mapping
• Domain Co-domain and Range of Function
• Math Practice Test on Function

Relations and Mapping – Worksheets

• Worksheet on Math Relation
• Worksheet on Functions or Mapping

Cube and Cube Roots

• To Find if the Given Number is a Perfect Cube
• Method for Finding the Cube of a Two-Digit Number
• Table of Cube Roots

Cube and Cube Roots – Worksheets

• Worksheet on Cube
• Worksheet on Cube and Cube Root
• Worksheet on Cube Root

Rational Numbers

• Introduction of Rational Numbers
• What are Rational Numbers?
• Is Every Rational Number a Natural Number?
• Is Zero a Rational Number?
• Is Every Rational Number an Integer?
• Is Every Rational Number a Fraction?
• Positive Rational Number
• Negative Rational Number
• Equivalent Rational Numbers
• Equivalent form of Rational Numbers
• Rational Number in Different Forms
• Properties of Rational Numbers
• Lowest form of a Rational Number
• Standard form of a Rational Number
• Equality of Rational Numbers using Standard Form
• Equality of Rational Numbers with Common Denominator
• Equality of Rational Numbers using Cross Multiplication
• Comparison of Rational Numbers
• Rational Numbers in Ascending Order
• Rational Numbers in Descending Order
• Representation of Rational Numbers on the Number Line
• Rational Numbers on the Number Line
• Addition of Rational Number with Same Denominator
• Addition of Rational Number with Different Denominator
• Addition of Rational Numbers
• Properties of Addition of Rational Numbers
• Subtraction of Rational Number with Same Denominator
• Subtraction of Rational Number with Different Denominator
• Subtraction of Rational Numbers
• Properties of Subtraction of Rational Numbers
• Rational Expressions Involving Addition and Subtraction
• Simplify Rational Expressions Involving the Sum or Difference
• Multiplication of Rational Numbers
• Product of Rational Numbers
• Properties of Multiplication of Rational Numbers
• Rational Expressions Involving Addition, Subtraction, and Multiplication
• Reciprocal of a Rational  Number
• Division of Rational Numbers
• Rational Expressions Involving Division
• Properties of Division of Rational Numbers
• Rational Numbers between Two Rational Numbers
• To Find Rational Numbers

Rational Numbers – Worksheets

• Worksheet on Rational Numbers
• Worksheet on Equivalent Rational Numbers
• Worksheet on Lowest form of a Rational Number
• Worksheet on Standard form of a Rational Number
• Worksheet on Equality of Rational Numbers
• Worksheet on Comparison of Rational Numbers
• Worksheet on Representation of Rational Number on a Number Line
• Worksheet on Adding Rational Numbers
• Worksheet on Properties of Addition of Rational Numbers
• Worksheet on Subtracting Rational Numbers
• Worksheet on Addition and Subtraction of Rational Number
• Worksheet on Rational Expressions Involving Sum and Difference
• Worksheet on Multiplication of Rational Number
• Worksheet on Properties of Multiplication of Rational Numbers
• Worksheet on Division of Rational Numbers
• Worksheet on Properties of Division of Rational Numbers
• Worksheet on Finding Rational Numbers between Two Rational Numbers
• Worksheet on Word Problems on Rational Numbers
• Worksheet on Operations on Rational Expressions
• Objective Questions on Rational Numbers

Fun with Numbers

• Playing with Numbers
• Test of Divisibility
• Number Puzzles and Games

Fun with Numbers – Worksheets

• Worksheet on Number Puzzles and Games
• Laws of Exponents
• Rational Exponent
• Integral Exponents of a Rational Numbers
• Solved Examples on Exponents
• Practice Test on Exponents

Exponents – Worksheets

• Worksheet on Exponents

Simplification  of Algebraic Fractions

• Algebraic Fractions
• Arithmetic Fraction and Algebraic Fraction
• Highest Common Factor of Monomials
• Highest Common Factor of Monomials by Factorization
• Lowest Common Multiple of Monomials
• Lowest Common Multiple of Monomials by Factorization
• Highest Common Factor of Polynomials
• Lowest Common Multiple of Polynomials
• H.C.F. of Polynomials by Factorization
• Highest Common Factor of Polynomials by Factorization
• L.C.M. of Polynomials by Factorization
• Lowest common multiple of Polynomials by Factorization
• H.C.F. of Polynomials by Division Method
• H.C.F. of Polynomials by Long Division Method
• Relation Between H.C.F. and L.C.M. of Two Polynomials
• Reduce Algebraic Fractions to its Lowest Term
• Simplification of Algebraic Fractions
• Rule of Separation of Division
• Sum and Difference of Algebraic Fractions
• Problems on Algebraic Fractions
• Solving Algebraic Fractions
• Multiplication of Algebraic Fractions
• Division of Algebraic Fractions

Simplification  of Algebraic Fractions – Worksheets

• Worksheet on H.C.F. of Monomials
• Worksheet on L.C.M. of Monomials
• Worksheet on H.C.F. and L.C.M. of Monomials
• Worksheet on H.C.F. of Polynomials
• Worksheet on L.C.M. of Polynomials
• Worksheet on H.C.F. and L.C.M. of Polynomials
• Worksheet on Reducing Algebraic Fractions
• Worksheet on Algebraic Expressions to the Lowest Terms
• Worksheet on Algebraic Fractions
• Worksheet on Simplifying Algebraic Fractions

We know the Concepts learned in Grade 8 go a long way in higher grades concepts. Grade 8 Children are advised to practice these concepts regularly and get a good hold of them. Higher-Order Concepts such as Rational Numbers, Irrational Numbers, Exponents, etc. are all introduced in the 8th Standard.

8th Grade Math Topics covered here help you to tackle any kind of Math Problem easily. Grasp the Formulas and Techniques needed for learning 8th Standard Math Concepts in no time. Improve your mathematical abilities by practicing from our 8th Grade Math Problems provided.

Objectives of 8th Grade Math

Below is the general list of math objectives that 8th Grade Students should attain

• Identify Rational and Irrational Numbers
• Calculate and Approximate Principal Square Roots
• Solve Linear Inequalities in Two Variables.
• Differentiate between Types of Sampling Techniques.
• Determine Mean, Median, Mode, and Range of a Set of Real World Data.
• Why Choose our 8th Grade Math Curriculum?

Choose the interactive program and help your child master the concepts of Grade 8 Math.

• Activities aimed helps students to meet their math objectives easily and make the entire learning process stressful.
• You can access the lessons 24/7 so that you can prepare during your peak learning time be it day or night.
• Aside from the interactive lessons, we have included printable worksheets to provide you with tons of extra practice.
• Build additional math skills and achieve your math learning targets without struggling.
• Student paced learning encourages and keeps you be focused and motivated.
• Free Online Learning Environment deepens your conceptual knowledge.

Hope the information shared regarding the 8th Grade Math has helped you a lot. If you have any suggestions on concepts to be added to the list feel free to reach us and we will get back to you at the earliest. Bookmark our site to avail Gradewise Math Topics to cater to your math learning needs.

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Past Contests, Solutions and Results

Problems, Solutions and Results from previous years can be found in the table below. These resources can be used by students to review and attempt past contests to gain a better understanding of the contest format and level of difficulty. Educators can use these resources to help their students prepare for contests or draw inspiration from some of these questions to create teaching materials, lesson plans or quizzes.

Below you will find resources from the last 10 years.

For the Gauss , Pascal, Cayley, and Fermat Contests, the CEMC Problem Set Generator can be used to create sets of past problems with customized topics.