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math problems grade 8

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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

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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Grade 8 Math Worksheets

Related Pages Common Core Math Lessons & Worksheets Grade 7 Common Core Math Lessons & Worksheets Grade 8 Free Math Worksheets According To Grades Math Worksheets according to Topics Interactive Zone Grade 8 Math Lessons

These free interactive math worksheets are suitable for Eighth Grade or Grade 8. Use them to practice and improve your mathematical skills.

Popular Online Worksheets for 8th Grade

Division with Decimal Quotients, Multiply Two Decimals, Divide Two Decimals, Decimals and Fractions, Decimal Word Problems

Add Integers, Subtract Integers, Multiply Integers, Divide Integers

Add Fractions, Subtract Fractions, Multiply Fractions, Divide Fractions, Add Mixed Numbers, Subtract Mixed Numbers, Multiply Mixed Numbers, Divide Mixed Numbers, Fraction Word Problems

Evaluating Expressions, Simplifying Expressions, Solving Equations, Solving Word Problems

Percent, Percent Word Problems

Finding the sequence and nth term

Names of Polygons, Types of Angles, Angles in a Triangle, Angles in a Quadrilateral, Angles in a Polygon, Area and Perimeter of Polygons, Area & Circumference of Circles, Arc Length & Area of Sector, Circle Word Problems, Area of Shaded Regions, Geometry Word Problems, Volume of Solids, Surface Area of Solids

Slope of a Line, Intercept of a Line, Explore Slope & Intercept, Midpoint Formula, Distance Formula, Pythagorean Theorem

Mode, Median, Mean, Range, Statistics Word Problems

Probability Word Problems, Complementary Probability, Mutually Exclusive Probability, Independent Events Probability, Dependent Events Probability

Multiply Decimals by Tens (10s, 100s, 1000s) Multiply Decimals by Whole Number (1-digit) Multiply Decimals by Whole Number (Multi-digit) Multiply two Decimals (Tenths) Multiply Two Decimals (Hundredths) Multiply two Decimals (Thousandths) Divide Decimals by Ten (10s, 100s, 1000s) Division with Decimal Quotients (Tenths) Division with Decimal Quotients (Hundredths) Divide Two Decimals (Tenths) Divide two Decimals (Hundredths) Divide Two Decimals (Thousandths)

Decimal Word Problems (One-Step, Addition & Subtraction) Decimal Word Problems (Two-Step, Addition & Subtraction) Decimal Word Problems (Mixed Operations) Decimal Word Problems (Mixed Operations)

Integer Worksheets

Add Integers 2 operands Add Integers 3 operands or more Subtract Integers 2 operands Subtract Integers 3 or more operands Multiply Integers Divide Integers Add Integers 1 Digit Add Integers 2 Digits Subtract Integers 1 Digit Subtract Integers 2 Digits Multiply Integers 1 Digit Multiply Integers 2 Digits Divide Integers 1 Digit in Divisor Divide Integers 2 Digits in Divisor Integers Mixed Operations Specify your own conditions for Integer Operations Add, Subtract, Multiply, Divide, Mixed

Fraction & Mixed Number Worksheets

Add & Subtract Fractions (with common denominator & simplifying answers) Least Common Multiple or Least Common Denominator Add & Subtract Fractions (with unlike denominators & step-by-step guide) Add & Subtract Fractions (with unlike denominators) Adding Mixed Numbers Subtracting Mixed Numbers Add Fractions (mixed) Subtract Fractions (mixed) Multiply Fractions by Whole Numbers Multiply Two Fractions Divide Whole Numbers by Fractions Divide Fractions by Whole Numbers Divide Fractions by Fractions Divide Two Fractions Multiply Mixed Numbers Divide Mixed Numbers

Fraction Word Problems Add & Subtract Fractions Fraction Word Problems Add & Subtract Mixed Numbers (One-Step) Fraction Word Problems Add & Subtract Mixed Numbers (Two-Step) Fraction Word Problems Add & Subtract Mixed Numbers (Two-Step)

Algebra Worksheets

Evaluate Expressions by Substitution Simplify Expressions by Combining Like Terms Simplify Expressions using Distributive Property Simplify Expressions using Distributive Property & Combine Like Terms

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

Solve System of Equations by Substitution Solve System of Equations by Addition Solve System of Equations by Subtraction Solve System of Equations by Addition or Subtraction Solve System of Equations by Multiplication and then Addition or Subtraction

Factor Binomials by Difference of Squares Factor Perfect Square Trinomials Factor Trinomials or Quadratic Equations Factor Different Types of Trinomials Factor Different Types of Trinomials Solve Trinomials using Quadratic Formula Find Discriminants of Quadratic Polynomials

Percent Worksheets

Percents to Decimals and Fractions Percents to Fractions in Lowest Terms Percents to Fractions Fractions to Percents Fractions to Percents Decimals to Percents Percentages (What is X% of Y) Percentages (X is what % of Y) Percentages (X is Y% of what) Percent of a Number Finding Percent Finding the Base Percent Word Problems (Part 1) Percent Word Problems (Part 2) Percent Word Problems: Increase and Decrease Percent Word Problems: Profit and Loss

Number Patterns & Sequences (Find the nth term)

Find the sequence and the nth term Find the sequence and the nth term Find the nth term of a sequence with fractions

Geometry Worksheets

Names of Polygons Give the number of sides Names of Polygons Give the names of polygons Types of Angles (Acute, Obtuse, Reflex) Angles in a Straight Line Angles at a Point Complementary Angles Supplementary Angles

Area and Perimeter of Rectangles Area and Perimeter of Rectangles Area and Perimeter of Rectangles Area and Perimeter of Parallelogram Area of Triangle Area of Parallelograms Area of Triangle and Parallelogram Area of Trapezoid Area of Shapes Area of Shaded Region (rectangles and triangles)

Circumference of Circle Area of Circle Area & Circumference of Circle Circle Problems: Radius, Diameter, Circumference, Area Circle Word Problems I Circle Word Problems II Area of shaded regions that include circles Area of figures that include circles

Surface Area Worksheets Surface Area of Cylinder Surface Area of Sphere Surface Area of Solids I Surface Area of Solids II Surface Area of Solids III Surface Area of Solids IV Surface Area of Solids V Surface Area of Cylinders & Pipes Surface Area of Cylinders & Spheres

Volume of Cylinders Volume of Sphere Volume of Prisms & Pyramids Volume of Square Pyramids Volume of Cones

Surface Area & Volume of Cubes Surface Area & Volume of Rectangular Prisms or Cuboids Surface Area & Volume of Cube Surface Area & Volume of Rectangular Prisms or Cuboids Volume & Surface Area of Cylinder Volume & Surface Area of Sphere

Coordinate Plane Worksheets

Slope of a Line Slope & Intercept of a Line Midpoint Formula Midpoint Formula Distance Formula Distance Formula Activity to Explore Slope & Intercept of a Line

Quadrants of Coordinates Area of rectangles given the coordinates of the vertices Area of triangles given the coordinates of the vertices Area of trapezoids given the coordinates of the vertices Translation of Points I Translation of Points II

Pythagorean Theorem Worksheets

Pythagorean Theorem (Find the missing side) Pythagorean Theorem (Test for right triangle) Pythagorean Theorem (Dynamic) Pythagorean Theorem (Word Problems) Converse Pythagorean Theorem: Types of Triangles

Statistics Worksheets

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

Probability Worksheets

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

Mathway Calculator Widget

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8TH GRADE MATH PROBLEMS WITH ANSWERS

Question 1 :

What is the smallest number by which 256 may be divided so that the quotient is perfect cube? 

(A) 2               (B) 3               (C) 4

To find the number required to divide 256 such that the quotient is a perfect cube, we have to decompose 256 into prime factors.  

Question 2 :

How many digits are there in the square root of 4456321?

(A) 2 digits        (B) 4 digits      (C) 3 digits

Square root of 1 digit and 2 digit number contains 1 digit.

Square root of 3 and 4 digit number contains 2 digits.

Square root of 5 and 6 digit number contains 3 digits.

Square root of 7 and 8 digit number contains 4 digits.

math problems grade 8

So, the square root of the given number has 4 digits.

Question 3 :

Find the value of 3x 3  + 4x 2  + x - 5 when x = -3.

(A) -53                 (B) -71               (C) -32

Let f(x) = 3x 3  + 4x 2  + x - 5.

Substitute x = -3.

f(-3) =  3(-3) 3  + 4(-3) 2  + (-3) - 5

= 3(-27) + 4(9) - 3 - 5

= -81 + 36 - 3 - 5

Question 4 :

The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of the rectangle.

(A) 12 cm and 4 cm

(B) 18 cm and 8 cm

(C) 15 cm and 9 cm

Perimeter of a rectangle = 52 cm.

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length. The, w idth = x/3 + 2.

x + (x/3) + 2 = 26

[(3x + x)/3] +2 = 26

Width = 18/3 + 2

So, the required dimensions are 18 cm and 8 cm.

Question 5 :

What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4.

(A) 9                    (B) 5             (C) 12

Let x be the required number to be added to both numerator and denominator of the fraction.

(7 + x)/(11 + x)  =  3/4

4(7 + x)  =  3(11 + x)

28 + 4x  =  33 + 3x

4x - 3x  =  33 - 28

x  =  5

So, 5 is the required number to be added to make the fraction 7/11 as 3/4.

Question 6 :

A line which intersects two or more lines at a distinct points is called a ____________

(A) concurrent       (B) Intersecting     (C) Transversal

A line which intersects two or more lines at a distinct points is called a concurrent.

Question 7 :

The opposite angles of a cyclic quadrilateral are _______________

(A) Supplementary    (B) Complementary (C) None of these

The sum of opposite angles of a cyclic quadrilateral is 180 degree.

So, the answer is supplementary.

Question 8 :

In triangle ABC is inscribed in a circle with center O and BC is a diameter, if angle BAC is 50°, find angle ABC.

math problems grade 8

(A)  50°           (B)  40°           (C)  48°

In the right triangle ABC,

∠ A + ∠ B + ∠ C  =  180 °

50 ° + ∠ B + 90 °   =  180 °

140 ° + ∠ B  =  180 °

∠ B  =  40

Question 9 :

The circumference of a circle is 44 cm. Find its area (use π = 22/7) 

(A) 154 cm 2       (B) 130 cm 2       (C) 145 cm 2

Circumference of a circle =   44 cm

2 πr  =  44

2  ⋅  (22/7)  ⋅ r  =  44

r  =  7

Area of circle  =   πr 2

  =  (22/7)  ⋅  (7) 2

  =  154 cm 2

Question 10 :

The volume of a right circular cylinder is 1100 cm 3  and the radius of its base is 5 cm. Calculate its curved surface area. 

(A) 410 cm 2         (B) 125 cm 2           (C) 440 cm 2

Volume of a right circular cylinder  =  1100 cm 3

  πr 2 h =   1100 cm 3

(22/7)  ⋅ (5) 2  ⋅ h  =  1100

h  = 2/7

Curved surface area of cylinder  =  2 πrh

  =  2  ⋅ (22/7) ⋅ 5 ⋅ (2/7)

=  440 cm 2

So, the curved surface area of cylinder is  440 cm 2

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8th Grade Math Worksheets

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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

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  • Fractions Questions and Problems with Solutions
  • Grade 8 questions on simplifying expressions with negative exponents with solutions and explanations included Online Trigonometry Calculators and Solvers
  • quadratic equations problems for Grade 8 with solutions and explanations included
  • Multiply and Simplify Monomials
  • Grade 8 Maths word Problems With Answers Also solutions and explanations are included.
  • Grade 8 Problems and Questions on Circles with Answers . Also solutions and explanations are included.
  • Simplify Square Root Calculator
  • What are Radicals in Math? ; examples and questions with detailed solutions are included.
  • Geometry Problems
  • Units Conversion and Calculators
  • Convert Units of Measurements
  • Number to Words Converter

Online Calculators to Practice and Understand Concepts

  • Divisibility Test Calculator. An online calculator that tests whole numbers for visibility by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and 13.
  • Lowest Common Multiple (lcm) Calculator. Calculate the lowest common multiple of two positive integers.
  • Greatest Common Factor (gcf) Calculator. Calculate the greatest common factor of two positive integers. Linear Equations Solver Calculator
  • Units Conversions Calculators
  • Prime Factors Calculator. Factor a positive integer into prime factors.
  • Fractions Addition Calculator. Add 2 or 3 fractions and reduce the final answer.
  • fraction calculator that helps you further develop the skills of how to reduce, add and multiply fractions.
  • Multiply Fractions Calculator. Multiply 2 fractions and reduce the answer.
  • Divide Fractions Calculator. Divide 2 fractions and reduce the answer.
  • Reduce Fractions Calculator. Rewrite Fractions in reduced form.

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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Math Word Problems - Printable Math-word-problems Worksheets Grade 8 - Quizizz

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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.

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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.

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

Related Topics

  • Grade 5 Mathematics Worksheets
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The BEST Prep Book to Help Your Student ACE the Grade 8 Math!

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8th grade mathematics concepts, whole numbers.

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Systems of Equations

  • Systems of Equations Word Problems
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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
  • 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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  • Multiplying a Polynomial and a Monomial
  • Multiplying Binomials
  • Factoring Trinomials
  • Operations with Polynomials

Geometry and Solid Figures

  • Pythagorean Relationship
  • Rectangular Prism
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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.

Looking for the best resources to help your students succeed on the Math test?

The Best Books to Ace Math Test!

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

Related to this article, more math articles.

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