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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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Eighth grade math

IXL offers hundreds of eighth grade math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.

A. Integers

  • 1 Compare and order integers
  • 2 Integer addition and subtraction rules
  • 3 Add and subtract integers using counters
  • 4 Add and subtract integers
  • 5 Add and subtract three or more integers
  • 6 Add and subtract integers: word problems
  • 7 Integer multiplication and division rules
  • 8 Multiply and divide integers
  • 9 Evaluate numerical expressions involving integers

B. Rational numbers

  • 1 Convert between repeating decimals and fractions
  • 2 Convert between decimals and fractions or mixed numbers
  • 3 Compare rational numbers
  • 4 Put rational numbers in order
  • 5 Reciprocals and multiplicative inverses
  • 6 Add and subtract rational numbers
  • 7 Add and subtract rational numbers: word problems
  • 8 Apply addition and subtraction rules
  • 9 Multiply and divide rational numbers
  • 10 Multiply and divide rational numbers: word problems
  • 11 Apply multiplication and division rules
  • 12 Apply addition, subtraction, multiplication, and division rules
  • 13 Evaluate numerical expressions involving rational numbers
  • 14 Multi-step word problems

C. Exponents

  • 1 Understanding exponents
  • 2 Evaluate powers
  • 3 Solve equations with variable exponents
  • 4 Powers with negative bases
  • 5 Powers with decimal and fractional bases
  • 6 Understanding negative exponents
  • 7 Evaluate powers with negative exponents
  • 8 Evaluate powers with negative or zero exponents
  • 9 Multiply powers: integer bases
  • 10 Divide powers: integer bases
  • 11 Multiply and divide powers: integer bases
  • 12 Power of a power: integer bases
  • 13 Evaluate expressions using properties of exponents
  • 14 Identify equivalent expressions involving exponents I
  • 15 Identify equivalent expressions involving exponents II
  • 16 Multiply powers: variable bases
  • 17 Divide powers: variable bases
  • 18 Multiply and divide powers: variable bases
  • 19 Powers of a power: variable bases

D. Scientific notation

  • 1 Convert between standard and scientific notation
  • 2 Scientific notation on calculators
  • 3 Compare numbers written in scientific notation
  • 4 Add and subtract numbers written in scientific notation
  • 5 Multiply numbers written in scientific notation
  • 6 Divide numbers written in scientific notation

E. Square roots and cube roots

  • 1 Square roots of perfect squares
  • 2 Estimate positive square roots
  • 3 Positive and negative square roots
  • 4 Estimate positive and negative square roots
  • 5 Relationship between squares and square roots
  • 6 Solve equations using square roots
  • 7 Cube roots of positive perfect cubes
  • 8 Cube roots of positive and negative perfect cubes
  • 9 Solve equations using cube roots
  • 10 Estimate cube roots

F. Rational and irrational numbers

  • 1 Identify rational and irrational square roots
  • 2 Identify rational and irrational numbers
  • 3 Classify numbers
  • 4 Irrational numbers on number lines
  • • New! Compare and order rational and irrational numbers

G. Proportions

  • 1 Solve proportions
  • 2 Solve proportions: word problems
  • 3 Estimate population size using proportions
  • 4 Scale drawings: word problems
  • 5 Scale drawings: scale factor word problems

H. Percents

  • 1 Convert between percents, fractions, and decimals
  • 2 Compare percents to fractions and decimals
  • 3 Find what percent one number is of another
  • 4 Find what percent one number is of another: word problems
  • 5 Estimate percents of numbers
  • 6 Percents of numbers and money amounts
  • 7 Percents of numbers: word problems
  • 8 Compare percents of numbers
  • 9 Solve percent equations
  • 10 Percent of change
  • 11 Percent of change: word problems
  • 12 Percent of change: find the original amount word problems

I. Consumer math

  • 1 Price lists
  • 2 Unit prices
  • 3 Unit prices with unit conversions
  • 4 Unit prices: find the total price
  • 5 Percent of a number: tax, discount, and more
  • 6 Find the percent: tax, discount, and more
  • 7 Sale prices: find the original price
  • 8 Multi-step problems with percents
  • 9 Estimate tips
  • 10 Simple interest
  • 11 Compound interest

J. Units of measurement

  • 1 Convert rates and measurements: customary units
  • 2 Convert rates and measurements: metric units
  • 3 Mixed customary units
  • 4 Convert between customary and metric systems
  • 5 Convert between Celsius and Fahrenheit

K. Expressions

  • 1 Write variable expressions: one operation
  • 2 Write variable expressions: two or three operations
  • 3 Write variable expressions from diagrams
  • 4 Write variable expressions: word problems
  • 5 Evaluate one-variable expressions
  • 6 Evaluate multi-variable expressions
  • 7 Evaluate absolute value expressions
  • 8 Evaluate radical expressions
  • 9 Evaluate rational expressions
  • 10 Identify terms and coefficients
  • 11 Sort factors of variable expressions

L. Equivalent expressions

  • 1 Properties of addition and multiplication
  • 2 Multiply using the distributive property
  • 3 Write equivalent expressions using properties
  • 4 Add and subtract like terms
  • 5 Add and subtract linear expressions
  • 6 Factors of linear expressions
  • 7 Identify equivalent linear expressions I
  • 8 Identify equivalent linear expressions II
  • 9 Identify equivalent linear expressions: word problems

M. One-variable equations

  • 1 Which x satisfies an equation?
  • 2 Write an equation from words
  • 3 Model and solve equations using algebra tiles
  • 4 Write and solve equations that represent diagrams
  • 5 Properties of equality
  • 6 Identify equivalent equations
  • 7 Solve one-step equations
  • 8 Solve two-step equations
  • 9 Solve two-step equations: complete the solution
  • 10 Solve one-step and two-step equations: word problems
  • 11 Solve equations involving like terms
  • 12 Solve equations with variables on both sides
  • 13 Solve equations with variables on both sides: fractional coefficients
  • 14 Solve equations with variables on both sides: word problems
  • 15 Solve equations with the distributive property
  • 16 Solve multi-step equations
  • 17 Solve multi-step equations with fractional coefficients
  • 18 Solve equations: mixed review
  • 19 Solve multi-step equations: complete the solution
  • 20 Find the number of solutions
  • 21 Create equations with no solutions or infinitely many solutions

N. One-variable inequalities

  • 1 Solutions to inequalities
  • 2 Graph inequalities on number lines
  • 3 Write inequalities from number lines
  • 4 Solve one-step inequalities
  • 5 Graph solutions to one-step inequalities
  • 6 Solve two-step inequalities
  • 7 Graph solutions to two-step inequalities
  • 8 Solve multi-step inequalities
  • 9 Graph solutions to multi-step inequalities
  • 10 Solve inequalities with integers: variables on both sides
  • 11 Solve inequalities with decimals: variables on both sides

O. Coordinate plane

  • 1 Coordinate plane review
  • 2 Quadrants and axes
  • 3 Follow directions on a coordinate plane
  • 4 Find the distance between two points

P. Lines and angles

  • 1 Identify complementary, supplementary, vertical, adjacent, and congruent angles
  • 2 Find measures of complementary, supplementary, vertical, and adjacent angles
  • 3 Write and solve equations using angle relationships
  • 4 Identify alternate interior and alternate exterior angles
  • 5 Transversals of parallel lines: name angle pairs
  • 6 Transversals of parallel lines: find angle measures
  • 7 Transversals of parallel lines: solve for x
  • 8 Find lengths and measures of bisected line segments and angles

Q. Two-dimensional figures

  • 1 Identify and classify polygons
  • 2 Classify triangles
  • 3 Identify trapezoids
  • 4 Classify quadrilaterals I
  • 5 Classify quadrilaterals II
  • 6 Graph triangles and quadrilaterals
  • 7 Find missing angles in triangles
  • 8 Find missing angles in triangles using ratios
  • 9 Triangle Angle-Sum Theorem
  • 10 Find missing angles in quadrilaterals I
  • 11 Find missing angles in quadrilaterals II
  • 12 Exterior Angle Theorem
  • 13 Interior angles of polygons
  • 14 Parts of a circle

R. Transformations and congruence

  • 1 Identify reflections, rotations, and translations
  • 2 Describe a sequence of transformations
  • 3 Translations: graph the image
  • 4 Translations: find the coordinates
  • 5 Translations: write the rule
  • 6 Reflections over the x- and y-axes: graph the image
  • 7 Reflections over the x- and y-axes: find the coordinates
  • 8 Reflections: graph the image
  • 9 Reflections: find the coordinates
  • 10 Rotations: graph the image
  • 11 Rotations: find the coordinates
  • 12 Reflections and rotations: write the rule
  • 13 Describe transformations
  • 14 Sequences of congruence transformations: graph the image
  • 15 Sequences of congruence transformations: choose the sequence
  • 16 Identify congruent figures
  • 17 Congruence statements and corresponding parts
  • 18 Determine if two figures are congruent: justify your answer
  • 19 Side lengths and angle measures of congruent figures

S. Transformations and similarity

  • 1 Similar and congruent figures
  • 2 Dilations: graph the image
  • 3 Dilations: find the coordinates
  • 4 Dilations: find the scale factor
  • 5 Identify similar triangles
  • 6 Angle-angle criterion for similar triangles
  • 7 Side lengths and angle measures of similar triangles
  • 8 Side lengths and angle measures of similar figures
  • 9 Similar triangles and indirect measurement
  • 10 Find missing side lengths in proportional triangles

T. Pythagorean theorem

  • 1 Pythagorean theorem: find the length of the hypotenuse
  • 2 Pythagorean theorem: find the missing leg length
  • 3 Pythagorean theorem: find the missing leg or hypotenuse length
  • 4 Pythagorean theorem: find the perimeter
  • 5 Pythagorean theorem: word problems
  • 6 Converse of the Pythagorean theorem: is it a right triangle?

U. Three-dimensional figures

  • 1 Parts of three-dimensional figures
  • 2 Nets of three-dimensional figures
  • 3 Front, side, and top view
  • 4 Similar solids

V. Perimeter and area

  • 1 Perimeter
  • 3 Area and perimeter: word problems
  • 4 Area and circumference of circles
  • 5 Circles: word problems
  • 6 Area and perimeter of semicircles and quarter circles
  • 7 Area between two shapes
  • 8 Perimeter and area: changes in scale

W. Surface area and volume

  • 1 Volume of cubes, prisms, and pyramids
  • 2 Surface area of cubes, prisms, and pyramids
  • 3 Volume of cylinders
  • 4 Volume of cones
  • 5 Surface area of cylinders
  • 6 Surface area of cones
  • 7 Volume of spheres
  • 8 Surface area of spheres
  • 9 Volume and surface area of similar solids

X. Proportional relationships

  • 1 Find the constant of proportionality from a table
  • 2 Write equations for proportional relationships from tables
  • 3 Identify proportional relationships by graphing
  • 4 Find the constant of proportionality from a graph
  • 5 Write equations for proportional relationships from graphs
  • 6 Identify proportional relationships from graphs and equations
  • 7 Identify proportional relationships from tables
  • 8 Identify proportional relationships: word problems
  • 9 Graph proportional relationships and find the slope
  • 10 Interpret graphs of proportional relationships
  • 11 Write and solve equations for proportional relationships
  • 12 Compare proportional relationships represented in different ways

Y. Direct variation

  • 1 Find the constant of variation
  • 2 Identify direct variation
  • 3 Write direct variation equations
  • 4 Write and solve direct variation equations
  • 1 Find the slope from a graph
  • 2 Find the slope from two points
  • 3 Find the slope from a table
  • 4 Find a missing coordinate using slope
  • 5 Graph a line using slope

AA. Linear equations

  • 1 Is (x, y) a solution to the linear equation?
  • 2 Relate the graph of an equation to its solutions
  • 3 Slope-intercept form: find the slope and y-intercept
  • 4 Graph a line from an equation in slope-intercept form
  • 5 Graph a line from an equation in point-slope form
  • 6 Write a linear equation from a slope and y-intercept
  • 7 Write a linear equation from a graph
  • 8 Write a linear equation from a slope and a point
  • 9 Write a linear equation from two points
  • 10 Convert a linear equation in standard form to slope-intercept form
  • 11 Graph a line from an equation in standard form
  • 12 Graph a horizontal or vertical line
  • 13 Equations of horizontal and vertical lines
  • 14 Slopes of parallel and perpendicular lines

BB. Function concepts

  • 1 Identify functions
  • 2 Identify functions: graphs
  • 3 Identify independent and dependent variables
  • 4 Find values using function graphs
  • 5 Complete a table for a function graph
  • 6 Domain and range of functions

CC. Linear functions

  • 1 Evaluate a linear function
  • 2 Complete a table for a linear function
  • 3 Complete a table and graph a linear function
  • 4 Interpret points on the graph of a linear function
  • 5 Rate of change of a linear function: graphs
  • 6 Interpret the slope and y-intercept of a linear function
  • 7 Write a linear function from a table
  • 8 Compare linear functions: graphs and equations
  • 9 Compare linear functions: tables, graphs, and equations
  • 10 Write linear functions: word problems
  • 11 Evaluate a linear function: word problems

DD. Nonlinear functions

  • 1 Identify linear and nonlinear functions: graphs and equations
  • 2 Identify linear and nonlinear functions: tables
  • 3 Is (x, y) a solution to the nonlinear equation?
  • 4 Evaluate a nonlinear function

EE. Interpret functions

  • 1 Rate of change: tables
  • 2 Rate of change: graphs
  • 3 Identify graphs: word problems

FF. Sequences

  • 1 Identify arithmetic and geometric sequences
  • 2 Arithmetic sequences
  • 3 Geometric sequences
  • 4 Sequences: mixed review
  • 5 Sequences: word problems
  • 6 Evaluate variable expressions for sequences
  • 7 Write variable expressions for arithmetic sequences

GG. Systems of equations

  • 1 Is (x, y) a solution to the system of equations?
  • 2 Solve a system of equations by graphing
  • 3 Solve a system of equations by graphing: word problems
  • 4 Find the number of solutions to a system of equations by graphing
  • 5 Find the number of solutions to a system of equations
  • 6 Classify a system of equations by graphing
  • 7 Classify a system of equations
  • 8 Solve a system of equations using substitution
  • 9 Solve a system of equations using substitution: word problems
  • 10 Solve a system of equations using elimination
  • 11 Solve a system of equations using elimination: word problems
  • 12 Solve a system of equations using any method
  • 13 Solve a system of equations using any method: word problems

HH. One-variable statistics

  • 1 Calculate mean, median, mode, and range
  • 2 Interpret charts and graphs to find mean, median, mode, and range
  • 3 Mean, median, mode, and range: find the missing number
  • 4 Changes in mean, median, mode, and range
  • 5 Calculate mean absolute deviation
  • 6 Calculate quartiles and interquartile range
  • 7 Box plots
  • 8 Identify an outlier
  • 9 Identify an outlier and describe the effect of removing it

II. Two-variable statistics

  • 1 Interpret line graphs
  • 2 Create line graphs
  • 3 Interpret scatter plots
  • 4 Create scatter plots
  • 5 Identify trends with scatter plots
  • 6 Make predictions with scatter plots
  • 7 Outliers in scatter plots
  • 8 Identify lines of best fit
  • 9 Write equations for lines of best fit
  • 10 Interpret lines of best fit: word problems
  • 11 Identify representative, random, and biased samples

JJ. Probability

  • 1 Probability of simple events
  • 2 Probability of opposite, mutually exclusive, and overlapping events
  • 3 Experimental probability
  • 4 Find probabilities using two-way frequency tables
  • 5 Make predictions
  • 6 Compound events: find the number of outcomes
  • 7 Compound events: find the number of sums
  • 8 Identify independent and dependent events
  • 9 Probability of independent and dependent events
  • 10 Counting principle

Eighth grade lessons

These lessons help you brush up on important math topics and prepare you to dive into skill practice!

  • Additive inverses
  • Adding and subtracting integers
  • Multiplying and dividing integers

Rational and irrational numbers

  • Rational numbers
  • Adding and subtracting rational numbers
  • Multiplying and dividing rational numbers
  • Irrational numbers

Exponents, scientific notation, and roots

  • Properties of exponents
  • Scientific notation
  • Adding and subtracting numbers in scientific notation
  • Multiplying and dividing numbers in scientific notation
  • Square roots
  • Proportional relationships
  • Constant of proportionality
  • Simple interest
  • Percent change

Two-dimensional figures

  • Parts of a circle
  • Area of circles
  • Circumference of circles
  • Complementary angles
  • Supplementary angles
  • Adjacent angles
  • Vertical angles
  • Transversals of parallel lines
  • Interior angles of triangles
  • Exterior angles of triangles
  • The Pythagorean theorem
  • The converse of the Pythagorean theorem
  • Distance formula

Transformations, congruence, and similarity

  • Transformations
  • Translations
  • Reflections
  • Similar triangles

Three-dimensional figures

  • Surface area formulas
  • Volume formulas
  • Volume of prisms
  • Volume of cylinders
  • Volume of pyramids
  • Volume of cones
  • Volume of spheres

Expressions

  • Writing algebraic expressions
  • Evaluating expressions
  • Simplifying expressions
  • The distributive property
  • Expanding expressions
  • Factoring expressions

Equations and inequalities

  • Solving equations
  • Multi-step equations
  • Equations with infinitely many or no solutions
  • Solving inequalities
  • Linear equations
  • Slope-intercept form
  • Point-slope form
  • Standard form of linear equations
  • Equations of parallel and perpendicular lines
  • Systems of equations
  • Relations and functions
  • Independent and dependent variables
  • Linear functions
  • Domain and range

Data and graphs

  • Box and whisker plots
  • Scatter plots
  • Correlation
  • Line of best fit
  • Two-way tables

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Printable 8th Grade Math Worksheets

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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 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.

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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
  • Multiplying and Dividing Monomials
  • Multiplying a Polynomial and a Monomial
  • Multiplying Binomials
  • Factoring Trinomials
  • Operations with Polynomials

Geometry and Solid Figures

  • Pythagorean Relationship
  • Rectangular Prism
  • Pyramids and Cone

Statistics and Probability

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

The BEST 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 )

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Helping with Math

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.

8th class maths homework

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

8th class maths homework

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

8th class maths homework

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

8th class maths homework

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

8th class maths homework

Performing Operations using Scientific Notation 8th Grade Math Worksheets

8th class maths homework

Understanding Irrational Numbers 8th Grade Math Worksheets

Grade 8 End of Year Test Student Booklet & Answer Guide

8th Grade End Of Year Test Booklet

8th class maths homework

Solving Linear System: Substitution (Adventure Themed) Math Worksheets

8th class maths homework

Understanding Pythagorean Theorem 8th Grade Math Worksheets

8th class maths homework

Working with Radicals and Integer Exponents 8th Grade Math Worksheets

8th class maths homework

Parallel lines Cut by a Transversal 8th Grade Math Worksheets

8th class maths homework

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

8th class maths homework

Multiplication of Functions (Travel and Tours Themed) Worksheets

8th class maths homework

Multiplication of Algebraic Expressions (World Oceans Day Themed) Worksheets

8th class maths homework

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.

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=

Try some free sample 8th grade math worksheets

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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8th class maths homework

Common Core - State Standards Initiative

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.

  • Teachers go over definitions along with multiple problems for the skills so that students fully grasp the concepts.
  • Skills available for statistics, time, ratios, and other eighth grade skills.
  • Students learn how to use the scracthpad to better understand how to tackle the problems.

8th class maths homework

Home / United States / Math Classes / Worksheets / 8th Grade Math Worksheets

8th Grade Math Worksheets

8th Grade Math Worksheets feature helpful and enjoyable activities based in algebra, statistics, arithmetic, and geometr y. Students can complete worksheets at their own pace to help them acquire an in-depth knowledge of the diverse mathematical concepts and equations taught in the eighth grade. The Grade 8 Math Worksheets for students are designed to reinforce their math knowledge through engaging questions. These worksheets use a stepwise learning model that allows the students to understand core concepts and equations in a competent manner, and subsequently determine a strategy to rectify their mistakes and solve complex problems correctly. ...Read More Read Less

Benefits of Grade 8 Math Worksheets

Math curriculum starts to get more complex in eighth grade. A lot of parents might not be equipped with the knowledge needed to guide their children through their homework and support their learning process at this stage. Printable 8th Grade Math Worksheets can help. By adding in some extra practice, children will become well-versed in all the math concepts needed to do well on their exams. Grade 8 Math Worksheets also help parents track their child’s overall learning process. There are many benefits to using these printable worksheets. 

Most importantly, the Grade 8 Math Worksheets: 

  • Instill math confidence

As students face more difficult concepts and equations in the eighth grade, their confidence might start to shake, and they can become overwhelmed. Grade 8 Math Worksheets are designed to help students learn complex topics with ease. Students can start with the basics of various equations and concepts through these worksheets, and eventually work through other computational logic to hone their knowledge. Mastering the concepts will allow students to take their math exams without anxiety. 

  • Provide Comprehensive Coverage

You can find 8th Grade Math Worksheets online that include a diverse mix of math questions covering a multitude of topics. This comprehensive coverage allows students to become acquainted with different ways to approach problems. Moreover, learning math becomes engaging and exciting for them as the monotony associated with learning the subject is eased through specially designed worksheets.

  • Interactive Worksheets
  • Printable Worksheets

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8th Grade Linear Equations Worksheets

  • 8th Grade Solving Linear Equations - 1
  • 8th Grade Solving Linear Equations - 2

8th Grade Scientific Notation Worksheets

  • 8th Grade Scientific Notation and Standard Form Worksheets
  • 8th Grade Operations on Numbers in Scientific Notation worksheets

8th Grade Exponents Worksheets

  • 8th Grade Laws of Exponents Worksheets

Choose Math Worksheets by Grade

Choose math worksheets by topic, 8th grade math worksheets explained.

Grade 8 Math Worksheets  enable students to learn and practice various types of equations, problems, theorems and more, so that they are ready to progress to high school. These math worksheets help develop problem-solving skills in students, and can be effective in enabling them to grasp math concepts quicker and apply them in real life.

Grade 8 Math Worksheets cover concepts that students learn throughout the course of the entire 8th grade year. Students can start the year with worksheets featuring activities on comparing exponents, Venn diagrams, math operations and reasoning, surface area, irrational numbers, and scientific notation. They can move on to evaluating and writing expressions, rewriting fraction equations, and determining the slope of a line, which are important topics to prepare them for the math they’ll be learning towards the end of the year. The most advanced concepts students will learn in 8th grade, including probability as a fraction, simultaneous linear equations, monomial, binomial, and polynomial operations, graphing linear inequalities, logarithms, using Pythagorean Theorem, and midpoints and equations of straight lines can all also be found on printable Grade 8 Math Worksheets. Many students have difficulty understanding these last few concepts, making  Grade 8 Math Worksheets crucial.

Online Grade 8 Math Worksheets are effective in helping students reach a conceptual understanding of topics like number systems, expressions, and equations. They allow the students to work with radicals and exponents, gain better knowledge of statistics and probability, and master solving linear equations and inequalities. With the help of 8th Grade Math Worksheets, students will be able to clearly know and apply the Pythagorean Theorem as well.

Printable 8th Grade Math Worksheets are readily available online. Parents or the students themselves can print them at their convenience, and start solving math problems of varying difficulty levels. With consistent practice using these worksheets, students can confidently face their math exams.

How difficult is it to solve the math worksheets for 8th graders?

The  online 8th grade math worksheets have been categorized in three levels – easy, medium and hard for every 8th grader to easily chose depending their comfort with the concept without feeling overwhelmed. The students have the freedom to choose through the different levels and once they feel confident of their math skills, can always upgrade themselves with the difficulty level.

What are the math topics covered in the grade 8 math worksheets?

The eighth grade interactive worksheets consist of topics such as simple and multi-step equations, understanding transformations and congruent figures, angles of triangles and polygons, parallel lines and transversals, graphing linear equations in various forms, systems of linear equations, understanding data displays, representations of functions, exponents and scientific notation, finding square roots, problems around Pythagoras theorem, surface area and volume of cylinders, cones and spheres.

Are the grade 8 math worksheets helpful?

The eighth grade math worksheets are ideal for 8th graders as these worksheets give students a better scope to improve their math concepts while solving engaging problem sums. These printable grade 8 math worksheets have been designed with utmost precision to prepare students for their high school years, solidifying their understanding of the math concepts.

Are the 8th grade math worksheets timed?

Yes, the eighth grade interactive math worksheets have been timed. This will encourage children to participate more in such time-bound activities and acquire a solid understanding of math by self regulating their attempts.

In what all formats are the 8th grade math worksheets available?

The 8th grade interactive worksheets are available for the students in two different formats. The pdf based printable worksheets can be completed offline once downloaded while the other formats are tech based interactive worksheets which are solved in online mode.

Can I solve the grade 8 math worksheets more than once?

Yes, you can. Students can practice different math concepts using the BYJU’s free online math worksheets by attempting them more than once. In fact, after every new submission, a new set of questions appear for the students to practice and consolidate their knowledge.

Free Printable Math Worksheets for 8th Class

Math worksheets for Class 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 worksheets by Math topics

  • Measurement
  • Data and Graphing
  • Math Word Problems
  • Math Puzzles
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  • Number Sense
  • Multiplication
  • Mixed Operations
  • Percents, Ratios, and Rates
  • Subtraction

Number Theory - Printable Math Worksheets Class 8 - Quizizz

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Explore printable Math worksheets for 8th Class

Math worksheets for Class 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, Class 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 Class 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 Class 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.

8th Grade Math Practice

In 8th grade math practice you will get all types of examples on different topics along with the solutions. 8th grade math worksheets are arranged in such a way that students can learn math while practicing it step by step.

Keeping in mind the mental level of child in 8th grade, every efforts has been made to introduce new concepts in a simple language, so that the child understands them easily. The difficulty level of the problems has been reduced and mathematical concepts have been explained in the simplest possible way. Each topic contains a large number of examples to understand the applications of concepts. In 8th grade math test we need to learn Rational Numbers, Exponents, Square and Square Roots, Cubes and Cube roots, Operations on Algebraic Expressions, Factorization, Linear Equations, Profit and Loss, Compound Interest, Ratio and Proportion, Time and Work and in geometry we learn Quadrilaterals, Parallelograms, Construction of Quadrilaterals, Three-Dimensional Figures, Area of a Trapezium and a Polygon, Volume and Surface Area of Solids, Data Handling, Constructing and Interpreting Bar Graphs, Pie Charts, Probability, Graphs, etc……

If student follow math-only-math they can improve their knowledge by practicing the worksheets for 8th graders which will them to score in their exam.

●   Set Theory

Sets Theory : Brief description on set theory and the important sets used in mathematics.

Representation of a Set : Definition with examples of statement form, roster form or tabular form, set builder form cardinal number of a set and the standard sets of numbers.

Types of Sets : Definition with examples of empty set or null set, singleton set, finite set, infinite set, cardinal number of a set, equivalent set and equal sets.

Finite Sets and Infinite Sets : Learn how to distinguish between finite set and infinite set with examples.

Power Set : Explanation on power sets will help us to get the basic concepts if sets with examples.

Problems on Union of Sets : Learn how to find the union of two or more sets and worked-out examples of operations on union of sets.

Problems on Intersection of Sets : Learn how to find the intersection of two or more sets and worked-out examples of operations on intersection of sets.

Difference of two Sets : Learn how to find the difference between the two sets and worked-out examples.

Complement of a Set : Definition of complement of a set and their properties with some worked-out examples.

Problems on Complement of a Set : Learn how to find the complement of two or more sets and worked-out examples of operations on complement of sets.

Problems on Operation on Sets : Learn how to find the union and intersection of two or more sets and worked-out examples of the two basic operations of sets.

Word Problems on Sets : Apply set operations to solve word problems involving the properties of union and intersection of sets.

Venn Diagrams in Different Situations : Learn how to use the Venn diagrams in different situations to find the different sets.

Relationship in Sets using Venn Diagram : Learn how to find the relationship of the union, intersection and difference of the two sets using Venn-diagram.

Union of Sets using Venn Diagram : Diagrammatic representation to find the union of two sets and their properties, worked-out examples.

Intersection of Sets using Venn Diagram : Diagrammatic representation to find the intersection of two sets and their properties, worked-out examples.

Disjoint of Sets using Venn Diagram : Learn how to represent the disjoint sets of union and intersection using Venn-Diagram.

Difference of Sets using Venn Diagram : Learn how to represent the difference between two sets using Venn-Diagram.

Examples on Venn Diagram : Learn how to use the basic concepts of sets for solving the different types of problems 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 is 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

● 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

● Significant Figures - Worksheets

Worksheet on Significant Figures

● Fun with Numbers

Playing with Numbers

Test of Divisibility

Number Puzzles and Games

● Fun with Numbers - Worksheets

Worksheet on Number Puzzles and Games

● Exponents

Laws of Exponents

Rational Exponent

Integral Exponents of a Rational Numbers

Solved Examples on Exponents

Practice Test on Exponents

● Exponents - Worksheets

Worksheet on Exponents

Perfect Square or Square Number

Properties of Perfect Squares

● Square - Worksheets

Worksheet on Squares

● Square Root

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

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

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

● 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

● Equations

What is an Equation?

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

Simultaneous Linear Equations

Comparison Method

Elimination Method

Substitution Method

Cross-Multiplication Method

Solvability of Linear Simultaneous Equations

Pairs of Equations

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

● Quadratic Equations - Worksheets

Worksheet on Quadratic Equations

● Percentage

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

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

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

● 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

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

● 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 and Perimeter of the Parallelogram

Area and Perimeter of Rhombus

Area of Trapezium

Circumference and Area of Circle

Units of 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 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

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

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[Updated] CBSE Class 8 Holiday Homework 2024-25 Session in PDF

cbse-class-8-holiday-homework

Hello Parents, In this article, we will discuss the Class 8 Holiday Homework. Many students agree that homework over the holidays is a form of cruel and unusual punishment. Upon returning from Holiday, the teachers probably have a handful of students saying the dog ate their homework or it got blown away in a winter storm. But as a parent, you need to understand that the holiday’s homework is a good practice. In this article, you can get the CBSE Class 8 Holiday Homework in PDF for practice purposes. Students/parents/teachers can check and also download these useful Class 8 Holiday Homework.

Before discussing the CBSE Class 8 Holiday Homework, let’s check the summary.

8th
CBSE
Holiday Homework

Class 8 Holiday Homework

Below we have mentioned the updated Holiday homework for the CBSE Class 8 session like an autumn session, winter session and summer session. Students can download the complete Subject holiday homework in PDF Format for practice purposes.

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Class 8 Syllabus 2024-25

Before discussing the Class 8 Holiday Homework, let us check the Class 8 Syllabus. Below, we have mentioned the complete Class 8 Syllabus. Students are advised to check out the complete syllabus.

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CBSE Class 8 Worksheet

Here in this section, we have mentioned the CBSE Class 8 worksheet in PDF Format only for practice purposes. Parents /guardians can check and download the worksheet for better preparation of their students.

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CBSE Class 8 NCERT Solutions

Below we have mentioned the NCERT Solutions. Students have checked the complete NCERT Solutions in pdf for a great score in the final examination.

CBSE Class 8 Sample Paper

Here in this section, we have mentioned the Model Test paper specially made for CBSE Class 8. Try to solve it within the prescribed time limit.

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CBSE Class 8 Study Material

We have tried to bring all the useful links to CBSE NCERT Study Materials like Syllabus, Worksheet, Sample Paper, NCERT Solutions, Important Books, Holiday Homework, Previous Year Question Papers and Study Materials. You can visit all these important links by clicking the links/Icons given.​

You Should Also Checkout

  • [Updated] Class 8 RD Sharma Solution Maths 2024-25 in PDF
  • [Updated] CBSE Class 8 Summer Season Holiday Homework 2024-25 Session in PDF
  • [Updated] CBSE Class 8 Hindi Question Papers 2024-25 Session in PDF
  • [Updated] CBSE Class 8 RS Aggarwal Solution 2024-25 Session in PDF

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  • 1.0 CBSE Class 8 Maths

CBSE Class 8 Maths is an essential subject in higher classes as it is a foundation for advanced mathematics. The course aims to develop problem-solving, logical reasoning, and a thorough understanding of mathematics. Topics like linear equations and factorisation require logical thinking, which is the basis for the more complex problems that students will encounter in higher-level classes.

Students who want to take competitive exams like Math Olympiads and many others must clearly understand Class 8 Math. It forms the foundation for the questions being asked on these tests.

This blog will cover topics related to CBSE Class 8 Math, such as exam patterns, syllabuses, preparation tips, and other helpful information for students to prepare efficiently.

  • 2.0 CBSE Class 8 Maths Syllabus

The CBSE Class 8 syllabus aims to provide students with a profound understanding of mathematical concepts and instil critical thinking skills in them. Instead of focusing on students mastering pre-existing algorithms, the syllabus tries to teach them to understand the basic principles of mathematics. The aim is to make them enjoy the subject and to get them to develop their strategies for solving and posing problems. Mastering the Class 8 Maths syllabus is not solely about being ready for exams. Instead, it is a foundation for excelling in board examinations and developing a solid mathematical mindset. Here's a detailed overview of the CBSE Class 8 Maths syllabus:

Chapter 1: Rational Numbers

1.1 Introduction

1.2 Properties of Rational Numbers

1.3 Representation of rational numbers on the number line

1.4 Rational Number between Two Rational Numbers

Chapter 2: Linear Equations In One Variable

2.1 Introduction

2.2 Solving Equations which have Linear Expressions on one Side and Numbers on the other Side

2.3 Some Applications

2.4 Solving Equations having the Variable on both sides

2.5 Some More Applications

2.6 Reducing Equations to Simpler Form

2.7 Equations Reducible to the Linear Form

Chapter 3: Understanding Quadrilaterals

3.1 Introduction

3.2 Polygons

3.3 Some of the Measures of the Exterior Angles of a Polygon

3.4 Kinds of Quadrilaterals

3.5 Some Special Parallelograms

Chapter 4: Practical Geometry 

4.1 Introduction

4.2 Constructing a Quadrilateral

4.3 Some Special Cases

Chapter 5: Data Handling

5.1 Looking for Information

5.2 Organising Data

5.3 Grouping Data

5.4 Circle Graph or Pie Chart

5.5 Chance and Probability

Chapter 6: Squares and Square Roots

6.1  Introduction

6.2 Properties of Square Numbers

6.3 Some More Interesting Patterns

6.4 Finding the Square of a Number

6.5 Square Roots

6.6 Square Roots of Decimals

6.7 Estimating Square Root

Chapter 7: Cubes and Cube Roots

7.1  Introduction

7.2 Cubes

7.3 Cubes Roots

Chapter 8: Comparing Quantities

8.1 Recalling Ratios and Percentages

8.2 Finding the Increase and Decrease Percent

8.3 Finding Discounts

8.4 Prices Related to Buying and Selling (Profit and Loss)

8.5 Sales Tax/Value Added Tax/Goods and Services Tax

8.6 Compound Interest

8.7 Deducing a Formula for Compound Interest

8.8 Rate Compounded Annually or Half Yearly (Semi-Annually)

8.9 Applications of Compound Interest Formula

Chapter 9: Algebraic Expressions and Identities

9.1 What are Expressions?

9.2 Terms, Factors and Coefficients

9.3 Monomials, Binomials and Polynomials

9.4 Like and Unlike Terms

9.5 Addition and Subtraction of Algebraic Expressions

9.6 Multiplication of Algebraic Expressions: Introduction

9.7 Multiplying a Monomial by a Monomial

9.8 Multiplying a Monomial by a Polynomial

9.9 Multiplying a Polynomial by a Polynomial

9.10 What is an Identity?

9.11 Standard Identities

9.12 Applying Identities

Chapter 10: Visualising Solid Shapes

10.1 Introduction

10.2 View of 3D-Shapes

10.3 Mapping Space Around Us

10.4 Faces, Edges and Vertices

Chapter 11: Mensuration

11.1 Introduction

11.2 Let Us Recall

11.3 Area of Trapezium

11.4 Area of General Quadrilateral

11.5 Area of Polygons

11.6 Solid Shapes

11.7 Surface Area of Cube, Cuboid and Cylinder

11.8 Volume of Cube, Cuboid and Cylinder

11.9 Volume and Capacity

Chapter 12: Exponents and Powers

12.1 Introduction

12.2 Powers with Negative Exponents

12.3 Laws of Exponents

12.4 Use of Exponents to Express Small Numbers in Standard Form

Chapter 13: Direct and Inverse Proportions

13.1 Introduction

13.2 Direct Proportion

13.3 Inverse Proportion

Chapter 14: Factorisation

14.1 Introduction

14.2 What is Factorisation?

14.3 Division of Algebraic Expressions

14.4 Division of Algebraic Expressions Continued (Polynomial / Polynomial)

14.5 Can you Find the Error?

Chapter 15: Introduction to Graphs

15.1 Introduction

15.2 Linear Graphs

15.3 Some Applications

Chapter 16: Playing with Numbers

16.1 Introduction

16.2 Numbers in General Form

16.3 Game with Numbers

16.4 Letters for Digits

16.5 Test of Divisibility

  • 3.0 CBSE Class 8 Maths Books

The Class 8 Maths books are skillfully aligned with the curriculum so students can build a firm foundation in mathematics. These books are designed to boost not only conceptual but also practical abilities. They provide students with knowledge and confidence that will help them not just in Class 8 but also in their other academic endeavours.

  • NCERT Textbook for Class 8 Maths

The CBSE Board follows the syllabus created by the NCERT, a book that covers all the topics mentioned by the Board. The chapters are designed in a structured manner to help students understand, making it easier for them to grasp complex concepts.

  • Additional Reference Books for Class 8 Maths

Additional Reference books significantly improve a student's learning by providing a variety of question sets, including advanced-level questions that challenge students to apply concepts and gain a deeper understanding. By offering more practice with multiple questions and previous year question papers, these books help students build confidence, making them more prepared and self-assured in tackling challenging problems. Here are some reference books which students can practice from:

  • R.D. Sharma
  • RS Aggarwal
  • 4.0 CBSE Class 8 Maths Mock Tests

These tests help students become familiar with the exam pattern, types of questions, and effective time management, which are essential for reducing anxiety and boosting confidence. By regularly taking mock tests, students can identify their weak areas and focus their revision efforts on improving those specific topics.

Additionally, mock tests enhance problem-solving skills by providing a wide range of questions, from basic to advanced levels. This continuous practice not only improves understanding but also helps students build the stamina required to maintain focus during the actual exam. You can also enhance your preparation by practising with Allen's mock tests, meticulously designed by some of India's top expert faculties.

  • 5.0 CBSE Class 8 Maths Preparation Tips

To achieve good grades in CBSE Class 8 Maths, you must take a strategic approach; here are some tips to help you succeed: 

1. Start from Basics: Make sure you're thoroughly familiar with the entire syllabus before you start studying, as this will guide your preparation effectively. Begin by studying from the NCERT book, as it provides a clear and simplified understanding of concepts, making it easier to grasp the material quickly. After mastering the NCERT content, it's beneficial to move on to additional reference books for more in-depth practice and a broader range of problems.

2. Consistent Practice: Set weekly targets and schedule so you can complete the syllabus on time. Consistent practice is the key to getting good marks in mathematics. It reinforces concepts and improves problem-solving speed.

3. Regular Revision: This helps you remember all the concepts so that you don’t actually forget them and can solidify your understanding of the material without worrying about last-minute cramming before exams for improved performance. 

4. Solve Sample Papers: Utilize sample exam question sheets to simulate exam-like circumstances to a certain degree. This will not only help with time management but will also give you some indication of the nature and difficulty of questions that may appear in the actual exam. 

5. Stay Healthy & Confident: It is important to be healthy and in the right frame of mind to study effectively and perform well in the exam. Confidence is a key aspect of your approach to studying and exams—trust your preparation and stay calm under pressure. Maintaining a balanced lifestyle and a confident mindset will assist you in staying focused and performing optimally. 

Table of Contents

The topic coverage in Class 8 Maths is moderate to easy. Overall, the subject isn't particularly difficult if you learn the concepts before solving the questions. As in any subject, practice is important. By consistently solving a variety of questions regularly, students will solidify their understanding, develop their problem-solving strategies, and build their confidence in tackling more difficult questions.

While you should emphasize the NCERT book, working through other reference books can encourage more challenging problems and new types of questions that can help reinforce your understanding and problem-solving skills.

To manage time effectively, you should solve the previous year’s question papers so you can get an idea of the actual exam pattern. Solving them within a given time limit will help you improve your speed. Start with questions you are confident about, and leave more challenging ones for later to ensure you complete the paper on time.

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