## 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

- 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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## Numbers and operations

## CBSE NCERT Class 8 Mathematics Worksheets

## Class 8 Mathematics Worksheets Pdf

## Chapter Wise Class 8 Mathematics Worksheet in Pdf

Steps to Prepare for Final Exams by Worksheets for Class 8 Mathematics

Collection of Worksheets for Class 8 Mathematics

Revise all syllabus before solving Worksheets

Start with the Highest marks weight-age topics

Evaluate your performance on the basis of time

Advantages Of CBSE NCERT Class 8 Mathematics Worksheets

c) Daily Practice Sheets will help to develop a regular schedule of studies

d) You will be able to revise all Mathematics topics properly and save time during exams.

## More Study Material

Where can i download worksheets for class 8 mathematics.

You can download free Worksheets for Class 8 Mathematics from StudiesToday.com

## The worksheets have been made based on which syllabus

## Can I download and print these printable worksheets

Yes - These worksheets for grade 8 Mathematics are free to download and print

## How many chapters are covered

All topics and chapters given in Mathematics Class 8 NCERT Book have been covered

## Is there any charge for these

No - All Printable Worksheets for Class 8 Mathematics are free for all students

## How do I download a worksheet

Just click on the View or Download button below and get free worksheets

## Are these worksheets available for all subjects in standard 8

Yes - Apart from Mathematics you can download free worksheets for all subjects in standard 8

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## 8 Grade Math Challenging Questions - State-Specific Standards Aligned

Grade 8 math: top 10 difficult questions.

## Based on student responses in the Lumos StepUp Program, we have identified the following ten questions as challenging questions. A significant number of students found these math problems hard. You can see hundreds of math questions as well as Hard math questions in the Lumos StepUp Program.

## Answers with detailed explanations for Top 10 challenging Math Problems

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

## Go Math Grade 8 Answer Key

Big ideas math answers grade 8.

Grade 8 HMH Go Math – Answer Keys

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

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

## 8th Grade Math Topics

## 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

## Significant Figures – Worksheets

## Square – Worksheets

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

## Square Root- Worksheets

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

## Formula – Worksheets

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

## Factorization – Worksheet

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

## Equations – Worksheets

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

## Simultaneous Linear Equations – Worksheets

## 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

## Quadratic Equations – Worksheets

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

## Percentage – Worksheets

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

## Profit, Loss, and Discount

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

## Profit, Loss, and Discount – Worksheets

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

## Time and Work – Worksheets

## 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

## Simple Interest – Worksheets

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

## Compound Interest – Worksheet

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

## Ratio and Proportion (Direct & Inverse Variation)

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

## Probability – Worksheets

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

## Parallelogram – Worksheet

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

## Quadrilateral – Worksheets

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

## Three-Dimensional Figures – Worksheets

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

## Mensuration – Worksheets

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

## Volume and Surface Area of Solids

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

## Area of a Trapezium – Worksheet

## 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

## Data Handling – Worksheet

## Constructing and Interpreting Bar Graphs or Column Graphs

## Bar Graphs or Column Graphs – Worksheets

## Pie Charts or Pie Graphs

Pie charts or pie graphs – worksheets.

## Coordinate Geometry

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

## Coordinate Geometry – Worksheet

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

## Relations and Mapping

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

## Relations and Mapping – Worksheets

## 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

## Rational Numbers

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

## Rational Numbers – Worksheets

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

## Fun with Numbers

## Fun with Numbers – Worksheets

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

## Exponents – Worksheets

## 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

## Objectives of 8th Grade Math

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

- Identify Rational and Irrational Numbers
- Calculate and Approximate Principal Square Roots
- Solve Linear Inequalities in Two Variables.
- Differentiate between Types of Sampling Techniques.
- Determine Mean, Median, Mode, and Range of a Set of Real World Data.

## Why Choose our 8th Grade Math Curriculum?

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

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

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## Shreya Matcha

## Class 8 Maths Holiday Homework – A Unique Way to do

## Class 8 Maths Holiday Homework(MCQ’S)

a) One variable b) Two variables c) No variable d) None of these

a) One variable b) Two variables c) No variable d) None of these

a) am ≠ lb b) am = lb c) ab ≠ lm d) ab = lm

a) -1/3 b) 1/3 c) 3 d) None of these

a) 17, 18, 23 b) 11, 13, 15 c) 15, 17, 19 d) 13, 15, 17

a) 4 years, 28 years b) 5 years, 35 years c) 2 years, 14 years

## Class 8 Maths Holiday Homework - Word Problems

Class 8 maths holiday homework - fill in the blanks.

a) 100 b) the number itself c) 1 d) none of these

## Class 8 Maths Holiday Homework - Math the Following

Math holiday homework for class 8 mcq questions [infographic].

## Math Holiday Homework for Class 8 Word Problems [Infographic]

## Math Holiday Homework for Class 8 Fill in the Blanks [Infographic]

## Math Holiday Homework for Class 8 Match the Following [Infographic]

## Math Holiday Homework for Class 8 [PDF]

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## CBSE Class 8 - Important topics

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

Grade 8 math preparation grade 8 math workbook, 8th grade mathematics concepts, whole numbers.

## 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

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

- 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

## Statistics and Probability

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## NCERT Solutions for Class 8 Maths

## Class 8 Maths NCERT Solutions & Main Points of All Chapters

## Chapter 2: Linear Equations in one Variable

## Chapter 3: Understanding Quadrilaterals

## Chapter 4: Practical Geometry

## Chapter 5: Data Handling

## Chapter 6: Square and Square Roots

## Chapter 7: Cube and Cube Roots

## Chapter 8: Comparing Quantities

## Chapter 9: Algebraic Expressions and Identities

## Chapter 10: Visualizing Solid Shapes

## Chapter 11: Mensuration

## Chapter 12: Exponents and Powers

## Chapter 13: Direct and Inverse Proportions

## Chapter 14: Factorization

## Chapter 15: Introduction to Graphs

## Chapter 16: Playing with Numbers

## How many chapters are ther in Class 8 Maths?

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## NCERT Solutions for Class 8 Science »

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## Eighth grade math

## A. Number theory

- 2 Divisibility rules
- 3 Prime or composite
- 4 Prime factorization
- 5 Greatest common factor
- 6 Least common multiple
- 7 GCF and LCM: word problems
- 8 Sort factors of numerical expressions

## B. Integers

- 1 Integers on number lines
- 2 Graph integers on horizontal and vertical number lines
- 3 Absolute value and opposite integers
- 4 Compare and order integers
- 5 Integer inequalities with absolute values

## C. Operations with integers

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

## D. Exponents

- 1 Understanding exponents
- 2 Evaluate exponents
- 3 Solve equations with variable exponents
- 4 Exponents with negative bases
- 5 Exponents with decimal and fractional bases
- 6 Understanding negative exponents
- 7 Evaluate negative exponents
- 8 Evaluate negative and zero exponents
- 9 Multiplication with exponents
- 10 Division with exponents
- 11 Multiplication and division with exponents
- 12 Power rule
- 13 Evaluate expressions using properties of exponents
- 14 Identify equivalent expressions involving exponents I
- 15 Identify equivalent expressions involving exponents II

## E. 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

## F. 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

## G. Rational numbers

- 1 Write fractions in lowest terms
- 2 Least common denominator
- 3 Round decimals and mixed numbers
- 4 Convert between repeating decimals and fractions
- 5 Convert between decimals and fractions or mixed numbers
- 6 Absolute value of rational numbers
- 7 Compare rational numbers
- 8 Put rational numbers in order

## H. Operations with rational numbers

- 1 Reciprocals and multiplicative inverses
- 2 Add and subtract rational numbers
- 3 Add and subtract rational numbers: word problems
- 4 Apply addition and subtraction rules
- 5 Multiply and divide rational numbers
- 6 Multiply and divide rational numbers: word problems
- 7 Apply multiplication and division rules
- 8 Apply addition, subtraction, multiplication, and division rules
- 9 Evaluate numerical expressions involving rational numbers

## I. 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

## J. Ratios, rates, and proportions

- 1 Understanding ratios
- 2 Identify equivalent ratios
- 3 Write an equivalent ratio
- 4 Equivalent ratios: word problems
- 5 Unit rates
- 6 Word problems involving ratios
- 7 Do the ratios form a proportion?
- 8 Do the ratios form a proportion: word problems
- 9 Solve proportions
- 10 Solve proportions: word problems
- 11 Estimate population size using proportions
- 12 Scale drawings: word problems
- 13 Scale drawings: scale factor word problems

## K. 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 Find the constant of variation
- 13 Identify direct variation
- 14 Write direct variation equations
- 15 Write and solve direct variation equations

## L. 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

## M. 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

## N. 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 Precision
- 6 Convert between Celsius and Fahrenheit

## O. Problem solving

- 1 Multi-step word problems
- 2 Guess-and-check word problems
- 3 Use Venn diagrams to solve problems
- 4 Elapsed time word problems

## P. Coordinate plane

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

## 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 Identify complementary, supplementary, vertical, adjacent, and congruent angles
- 15 Find measures of complementary, supplementary, vertical, and adjacent angles
- • New! Write and solve equations using angle relationships
- 16 Identify alternate interior and alternate exterior angles
- 17 Transversals of parallel lines: name angle pairs
- 18 Transversals of parallel lines: find angle measures
- 19 Transversals of parallel lines: solve for x
- 20 Find lengths and measures of bisected line segments and angles
- 21 Parts of a circle

## R. Transformations and congruence

- 1 Line symmetry
- 2 Rotational symmetry
- 3 Rotational symmetry: amount of rotation
- 4 Identify reflections, rotations, and translations
- 5 Describe a sequence of transformations
- 6 Translations: graph the image
- 7 Translations: find the coordinates
- 8 Translations: write the rule
- 9 Reflections over the x- and y-axes: graph the image
- 10 Reflections over the x- and y-axes: find the coordinates
- 11 Reflections: graph the image
- 12 Reflections: find the coordinates
- 13 Rotations: graph the image
- 14 Rotations: find the coordinates
- • New! Reflections and rotations: write the rule
- • New! Describe transformations
- 15 Sequences of congruence transformations: graph the image
- 16 Identify congruent figures
- 17 Congruence statements and corresponding parts
- 18 Side lengths and angle measures of congruent figures
- 19 Congruent triangles: SSS, SAS, and ASA

## 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 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 Base plans
- 5 Similar solids

## V. Geometric measurement

- 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 Volume of cubes, prisms, and pyramids
- 9 Surface area of cubes, prisms, and pyramids
- 10 Volume of cylinders
- 11 Volume of cones
- 12 Surface area of cylinders
- 13 Surface area of cones
- 14 Volume of spheres
- 15 Surface area of spheres
- 16 Volume and surface area of similar solids
- 17 Perimeter and area: changes in scale

## W. Number sequences

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

## X. Expressions and properties

- 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
- 12 Properties of addition and multiplication
- 13 Multiply using the distributive property
- 14 Write equivalent expressions using properties
- 15 Add and subtract like terms
- 16 Add and subtract linear expressions
- 17 Factors of linear expressions
- 18 Identify equivalent linear expressions I
- 19 Identify equivalent linear expressions II
- 20 Identify equivalent linear expressions: word problems

## Y. 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
- • New! Solve equations with variables on both sides: word problems
- 14 Solve equations with the distributive property
- 15 Solve multi-step equations
- 16 Solve multi-step equations with fractional coefficients
- 17 Solve equations: mixed review
- 18 Solve multi-step equations: complete the solution
- 19 Find the number of solutions
- 20 Create equations with no solutions or infinitely many solutions

## Z. 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

## AA. Linear equations

- 1 Find the slope of a graph
- 2 Find the slope from two points
- 3 Find a missing coordinate using slope
- 4 Slope-intercept form: find the slope and y-intercept
- 5 Graph a line using slope
- 6 Graph a line from an equation in slope-intercept form
- 7 Graph a line from an equation in point-slope form
- 8 Write a linear equation from a slope and y-intercept
- 9 Write a linear equation from a graph
- 10 Write a linear equation from a slope and a point
- 11 Write a linear equation from two points
- 12 Convert a linear equation in standard form to slope-intercept form
- 13 Graph a line from an equation in standard form
- 14 Graph a horizontal or vertical line
- 15 Equations of horizontal and vertical lines
- 16 Slopes of parallel and perpendicular lines

## BB. Functions

- 1 Identify functions
- 2 Identify functions: graphs
- 3 Does (x, y) satisfy the linear function?
- 4 Relate the graph of an equation to its solutions
- 5 Identify independent and dependent variables
- 6 Rate of change: tables
- 7 Rate of change: graphs
- 8 Constant rate of change
- 9 Evaluate a linear function
- 10 Complete a table for a linear function
- 11 Complete a table and graph a linear function
- 12 Interpret points on the graph of a linear function
- 13 Interpret the slope and y-intercept of a linear function
- 14 Write a linear function from a table
- 15 Compare linear functions: graphs and equations
- 16 Compare linear functions: tables, graphs, and equations
- 17 Write linear functions: word problems
- 18 Evaluate a linear function: word problems
- 19 Identify linear and nonlinear functions: graphs and equations
- 20 Identify linear and nonlinear functions: tables
- 21 Does (x, y) satisfy the nonlinear function?
- 22 Evaluate a nonlinear function
- 23 Find values using function graphs
- 24 Complete a table for a function graph
- 25 Domain and range of functions
- • New! Identify graphs: word problems

## CC. Systems of linear 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

## DD. Monomials and polynomials

- 1 Identify monomials
- 2 Model polynomials with algebra tiles
- 3 Add and subtract polynomials using algebra tiles
- 4 Add and subtract polynomials
- 5 Add polynomials to find perimeter
- 6 Multiply monomials
- 7 Divide monomials
- 8 Multiply and divide monomials
- 9 Powers of monomials
- 10 Square and cube roots of monomials
- 11 Multiply binomials using algebra tiles
- 12 Multiply polynomials
- 13 Multiply polynomials to find area

## EE. Data and graphs

- 1 Interpret tables
- 2 Interpret bar graphs
- 3 Create bar graphs
- 4 Interpret line graphs
- 5 Create line graphs
- 6 Interpret line plots
- 7 Create line plots
- 8 Create and interpret line plots with fractions
- 9 Interpret stem-and-leaf plots
- 10 Create stem-and-leaf plots
- 11 Interpret histograms
- 12 Create histograms
- 13 Create frequency charts
- 14 Box plots
- 15 Interpret scatter plots
- 16 Create scatter plots
- 17 Identify trends with scatter plots
- 18 Make predictions with scatter plots
- 19 Interpret circle graphs
- 20 Circle graphs and central angles

## FF. 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 Identify an outlier
- 8 Identify an outlier and describe the effect of removing it
- 9 Outliers in scatter plots
- 10 Identify lines of best fit
- 11 Write equations for lines of best fit
- 12 Identify representative, random, and biased samples

## GG. 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 Factorials
- 11 Permutations
- 12 Counting principle
- 13 Combination and permutation notation

## Eighth grade lessons

## 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

## 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

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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 ...

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NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers In this chapter, students will be learning properties related to real numbers, integers, whole numbers, rational numbers and natural numbers - independent, associative and closure.

We have provided below the largest collection of CBSE NCERT Worksheets for Class 8 Mathematics which can be downloaded by you for free. These free worksheets cover all Class 8 Mathematics important questions and answers and have been designed based on the latest CBSE NCERT Books and Syllabus.

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Class 8 Maths Holiday Homework (MCQ'S) Practice 1. The expression x+3 is in 2. The expression 4xy+7 is in 3. If ax+by=c and lx+my=n has a unique solution then the relation between the coefficients will be of the form 4. The value of a for which (3, a) lies on 2x-3y=5 5. The root of the equation 0.3x+5=0.7x-3 is 6.

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Grade 8 Math Preparation Grade 8 Math Workbook $ 17.99 $ 12 .99 Rated 4.39 out of 5 based on customer ratings 8th Grade Mathematics Concepts Whole Numbers Rounding Whole Number Addition and Subtraction Whole Number Multiplication and Division Rounding and Estimates Fractions and Decimals Simplifying Fractions Adding and Subtracting Fractions

Chapter Wise Class 8 Maths NCERT Solution Chapter 1. Rational Numbers Chapter 2. Linear Equations in one Variable Chapter 3. Understanding Quadrilaterals Chapter 4. Practical Geometry Chapter 5. Data Handling Chapter 6. Square and Square Roots Chapter 7. Cube and Cube Roots Chapter 8. Comparing Quantities Chapter 9.

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