8th class homework 2020

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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

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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8th Grade Mathematics Worksheets: FREE & Printable

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

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

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

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

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

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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.

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Mastering Grade 6 Math Word Problems The Ultimate Guide to Tackling 6th Grade Math Word Problems

Mastering grade 5 math word problems the ultimate guide to tackling 5th grade math word problems, mastering grade 7 math word problems the ultimate guide to tackling 7th grade math word problems, staar grade 8 math comprehensive prep bundle a perfect resource for staar math test takers.

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

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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 Grade Math

via Study.com Help

• Ch 1. Number Systems & Theory
• Ch 2. Problem-Solving in Real World Math
• Ch 3. Algebraic Expressions & Equations
• Ch 4. Graphing Lines & Inequalities
• Ch 5. Proportional Relationships & Linear Equations
• Ch 6. 6th-8th Grade Algebra: Systems of Linear Equations
• Ch 7. Graphical Transformations
• Ch 8. Geometry of Congruent & Similar Figures
• Ch 9. Geometry & Properties of Triangles
• Ch 10. Geometry of Three-Dimensional Objects
• Ch 11. Evaluating & Calculating Probability
• Ch 12. Measuring & Graphing Statistical Distributions

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Printable 8th Grade Worksheets

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

• NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8 Maths:  Mathematics is a subject that is useful for students in every phase of life. It does not matter if you are choosing science or biology or commerce stream. Some basic maths will always be there in each of these streams. Thus, it becomes important for students to have a strong base in this subject. One such help is being by us in the form of NCERT solutions for class 8 maths. Here we are providing you with the solutions to all the exercises given in the textbook. You can also practice Extra Questions for Class 8 Maths on LearnCBSE.in

• 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 Squares and Square Roots
• Chapter 7 Cubes and Cube Roots
• Chapter 8 Comparing Quantities
• Chapter 9 Algebraic Expressions and Identities
• Chapter 10 Visualising Solid Shapes
• Chapter 11 Mensuration
• Chapter 12 Exponents and Powers
• Chapter 13 Direct and Indirect proportions
• Chapter 14 Factorisation
• Chapter 15 Introduction to Graphs
• Chapter 16 Playing with Numbers

NCERT Solutions for Class 8 Maths solved by Expert teachers from LearnCBSE.in. Class 8 Maths NCERT Solutions are created with utmost care and accuracy.  We have reviewed, corrected typos and cross verified the solutions for the best, most detailed, accurate Free Solutions for Class 8 NCERT Mathematics. NCERT Book For Class 8 Maths strictly written as per latest CBSE guidelines. NCERT Solutions for Class 8 Maths are completely Free and you can COPY, Download and Create PDFs.

NCERT Solutions for Class 8 Maths Chapter 1 Rational Numbers

• Class 8 Maths Rational Numbers Exercise 1.1
• Class 8 Maths Rational Numbers Exercise 1.2
• Rational Numbers Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable

• Class 8 Maths Linear Equations in One Variable Exercise 2.1
• Class 8 Maths Linear Equations in One Variable Exercise 2.2
• Class 8 Maths Linear Equations in One Variable Exercise 2.3
• Class 8 Maths Linear Equations in One Variable Exercise 2.4
• Class 8 Maths Linear Equations in One Variable Exercise 2.5
• Class 8 Maths Linear Equations in One Variable Exercise 2.6
• Linear Equations in One Variable Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals

• Class 8 Maths Understanding Quadrilaterals Exercise 3.1
• Class 8 Maths Understanding Quadrilaterals Exercise 3.2
• Class 8 Maths Understanding Quadrilaterals Exercise 3.3
• Class 8 Maths Understanding Quadrilaterals Exercise 3.4
• Understanding Quadrilaterals Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry

• Class 8 Maths Practical Geometry Exercise 4.1
• Class 8 Maths Practical Geometry Exercise 4.2
• Class 8 Maths Practical Geometry Exercise 4.3
• Class 8 Maths Practical Geometry Exercise 4.4
• Class 8 Maths Practical Geometry Exercise 4.5
• Practical Geometry Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling

• Class 8 Maths Data Handling Exercise 5.1
• Class 8 Maths Data Handling Exercise 5.2
• Class 8 Maths Data Handling Exercise 5.3
• Data Handling Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots

• Class 8 Maths Squares and Square Roots Exercise 6.1
• Class 8 Maths Squares and Square Roots Exercise 6.2
• Class 8 Maths Squares and Square Roots Exercise 6.3
• Class 8 Maths Squares and Square Roots Exercise 6.4
• Squares and Square Roots Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots

• Class 8 Maths Cubes and Cube Roots Exercise 7.1
• Class 8 Maths Cubes and Cube Roots Exercise 7.2
• Cubes and Cube Roots Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities

• Class 8 Maths Comparing Quantities Exercise 8.1
• Class 8 Maths Comparing Quantities Exercise 8.2
• Class 8 Maths Comparing Quantities Exercise 8.3
• Comparing Quantities Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities

• Class 8 Maths Algebraic Expressions and Identities Exercise 9.1
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.2
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.3
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.4
• Class 8 Maths Algebraic Expressions and Identities Exercise 9.5
• Algebraic Expressions and Identities Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes

• Class 8 Maths Visualising Solid Shapes Exercise 10.1
• Class 8 Maths Visualising Solid Shapes Exercise 10.2
• Class 8 Maths Visualising Solid Shapes Exercise 10.3
• Visualising Solid Shapes Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration

• Class 8 Maths Mensuration Exercise 11.1
• Class 8 Maths Mensuration Exercise 11.2
• Class 8 Maths Mensuration Exercise 11.3
• Class 8 Maths Mensuration Exercise 11.4
• Mensuration Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

• Class 8 Maths Exponents and Powers Exercise 12.1
• Class 8 Maths Exponents and Powers Exercise 12.2
• Exponents and Powers Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions

• Class 8 Maths Direct and Inverse Proportions Exercise 13.1
• Class 8 Maths Direct and Inverse Proportions Exercise 13.2
• Direct and Inverse Proportions Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 14 Factorisation

• Class 8 Maths Factorisation Exercise 14.1
• Class 8 Maths Factorisation Exercise 14.2
• Class 8 Maths Factorisation Exercise 14.3
• Class 8 Maths Factorisation Exercise 14.4
• Factorisation Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

• Class 8 Maths Introduction to Graphs Exercise 15.1
• Class 8 Maths Introduction to Graphs Exercise 15.2
• Class 8 Maths Introduction to Graphs Exercise 15.3
• Introduction to Graphs Class 8 Extra Questions

NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

• Class 8 Maths Playing with Numbers Exercise 16.1
• Class 8 Maths Playing with Numbers Exercise 16.2
• Playing with Numbers Class 8 Extra Questions

Maths Formulas for Class 8 NCERT Solutions for Class 8 Maths (Download PDF)

With the help of NCERT solutions for class 8 maths, you get chapter wise solutions of each and every exercise. Thus, it helps you solve and practice the questions at your convenience and with ease. This article will also help you develop an understanding of all the chapters that are there in the NCERT maths textbook. You can share this link with your friends and help them understand the topics better. Below we are providing an overview of all the chapters that are covered in the NCERT textbook in the same order.

Here is the list of Main Topics from Class 8 Maths NCERT Text Book:

Class 8 Maths Chapter 1 Rational Numbers

This chapter will help you understand about the integers, properties of real integers, rational numbers, and whole numbers. Furthermore, how rational numbers are represented on a number line is also explained. You will be able to search the rational numbers between any of the given two rational numbers through this chapter.

• 1.1 Introduction
• 1.2 Properties Of Rational Numbers
• 1.3 Representation Of Rational Numbers On The Number Line
• 1.4 Rational Numbers Between Two Rational Numbers

Class 8 Maths Chapter 2 Linear Equation in One Variable

As you go ahead in maths, you will notice the importance of linear equations. Thus, this makes a very important chapter to understand and remember. The mathematics you will study in advance classes is purely based on various equations that involve variables. A total of 65 questions in six exercises is given for students to practice and learn. You also are learning to perform the mathematical operations on either side of an equation.

• 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

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.1

Question 1. Solve the equation: x – 2 = 7. Solution: Given: x – 2 = 7 ⇒ x – 2 + 2 = 7 + 2 (adding 2 on both sides) ⇒ x = 9 (Required solution)

Question 2. Solve the equation: y + 3 = 10. Given: y + 3 = 10 ⇒ y + 3 – 3 = 10 – 3 (subtracting 3 from each side) ⇒ y = 7 (Required solution)

Question 3. Solve the equation: 6 = z + 2 Solution: We have 6 = z + 2 ⇒ 6 – 2 = z + 2 – 2 (subtracting 2 from each side) ⇒ 4 = z Thus, z = 4 is the required solution.

Question 5. Solve the equation 6x = 12. Solution: We have 6x = 12 ⇒ 6x ÷ 6 = 12 ÷ 6 (dividing each side by 6) ⇒ x = 2 Thus, x = 2 is the required solution.

Question 6. Solve the equation \(\frac { t }{ 5 }\) = 10. Solution: Given \(\frac { t }{ 5 }\) = 10 ⇒ \(\frac { t }{ 5 }\) × 5 = 10 × 5 (multiplying both sides by 5) ⇒ t = 50 Thus, t = 50 is the required solution.

Question 7. Solve the equation \(\frac { 2x }{ 3 }\) = 18. Solution: We have \(\frac { 2x }{ 3 }\) = 18 ⇒ \(\frac { 2x }{ 3 }\) × 3 = 18 × 3 (multiplying both sides by 3) ⇒ 2x = 54 ⇒ 2x ÷ 2 = 54 ÷ 2 (dividing both sides by 2) ⇒ x = 27 Thus, x = 27 is the required solution.

Question 8. Solve the equation 1.6 = \(\frac { y }{ 1.5 }\) Solution: Given: 1.6 = \(\frac { y }{ 1.5 }\) ⇒ 1.6 × 1.5 = \(\frac { y }{ 1.5 }\) × 1.5 (multiplying both sides by 1.5) ⇒ 2.40 = y Thus, y = 2.40 is the required solution.

Question 9. Solve the equation 7x – 9 = 16. Solution: We have 7x – 9 = 16 ⇒ 7x – 9 + 9 = 16 + 9 (adding 9 to both sides) ⇒ 7x = 25 ⇒ 7x ÷ 7 = 25 ÷ 7 (dividing both sides by 7) ⇒ x = \(\frac { 25 }{ 7 }\) Thus, x = \(\frac { 25 }{ 7 }\) is the required solution.

Question 10. Solve the equation 14y – 8 = 13. Solution: We have 14y – 8 = 13 ⇒ 14y – 8 + 8 = 13 + 8 (adding 8 to both sides) ⇒ 14y = 21 ⇒ 14y ÷ 14 = 21 ÷ 14 (dividing both sides by 14) ⇒ y = \(\frac { 21 }{ 14 }\) ⇒ y = \(\frac { 3 }{ 2 }\) Thus, y = \(\frac { 3 }{ 2 }\) is the required solution.

Question 11. Solve the equation 17 + 6p = 9. Solution: We have, 17 + 6p = 9 ⇒ 17 – 17 + 6p = 9 – 17 (subtracting 17 from both sides) ⇒ 6p = -8 ⇒ 6p ÷ 6 = -8 ÷ 6 (dividing both sides by 6) ⇒ p = \(\frac { -8 }{ 6 }\) ⇒ p = \(\frac { -4 }{ 3 }\) Thus, p = \(\frac { -4 }{ 3 }\) is the required solution.

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NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.2

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.3

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.4

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.5

NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in one Variable Ex 2.6

Class 8 Maths Chapter 3 Understanding quadrilaterals

Geometry is another topic that is going to be important for advanced math classes. This chapter will introduce you to the basics of a quadrilateral, a polygon with 4 sides. A cube-shaped object formed by connecting various line segments is called a polygon and then are various shapes in polygons. It depends on the angle between the two line segments and the number of line segments. The shapes can quadrilateral, triangle, hexagon, pentagon, etc. When each and every side of the polygon is equal and the external angles are at 360° than that polygon is called quadrilateral.

• 3.1 Introduction
• 3.2 Polygons
• 3.3 Sum Of The Measures Of The Exterior Angles Of A Polygon
• 3.4 Kinds Of Quadrilaterals
• 3.5 Some Special Parallelograms

Class 8 Maths Chapter 4 Practical Geometry

This chapter includes drawing 4 sides in a quadrilateral with 2 adjacent sides, 3 angles and 1 diagonal area given to you. You will be further explained how to draw different types of quadrilateral in this chapter.

• 4.1 Introduction
• 4.2 Constructing A Quadrilateral
• 4.3 Some Special Cases

Class 8 Maths Chapter 5 Knowledge Handling

Data has become a very important tool in recent years. But with the amount of data available, the next step becomes very important, that is how to handle the data. This chapter will help you develop basic knowledge on how to handle the data and arrange it systematic order so that meaningful results can be interpreted. This is done to induce clear knowledge of the data and to diagrammatically represent it in the form of a bar graph, pie chart, double bar graph, etc.

• 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

Class 8 Maths Chapter 6 Squares and Square Roots

This chapter offers a plan to discuss the various roots of a number. Suppose a number A is represented because the square of other number say B, then B here, is the square root of A. The number is said to be an excellent square when the roots of a number are also a number. This strategy of finding roots is very useful in higher standards.

• 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

Class 8 Maths Chapter 7 Cube and Cube Roots

There are numerous ways through which you can seek out the cubes and cube roots of a number. But in this chapter, you will learn about these cubes by adding consecutive odd number pattern.

• 7.1 Introduction
• 7.3 Cube Roots

Class 8 Maths Chapter 8 Comparing Quantities

When you compare quantities, you need to have an increase or decrease of percentage, sales value, market value, discount, and the discounted value of the product to check whether you have made profit or loss. This chapter further dwells into extra expenses that are incurred like excise tax, acquisition of piece, whether interest is compounded yearly, half-yearly, or quarterly, etc.

• 8.1 Recalling Ratios And Percentages
• 8.2 Finding The Increase Or Decrease percent
• 8.3 Finding Discounts
• 8.4 Prices Related To Buying And Selling (profit And Loss)
• 8.5 Sales Tax/Value Added 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

Class 8 Maths Chapter 9 Algebraic Identities and Expressions

This chapter explains the mathematics expressions and identities along with their implementation. It also explains the terms area unit that is used additionally to express pure mathematics expressions and how these terms are shaped based on different products. This chapter further dwells into binomials, monomials, trinomials, and much more based on the number of terms. It also explains the multiplication of polynomials by polynomials and the addition of mathematical expression.

• 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

Class 8 Maths Chapter 10 Visualising Solid Shapes

In this chapter, you will study the solid objects that have height, length, and breadth and thus they are referred to as 3D objects. Along with you will also learn about the edges, faces, and vertices about some solid figures like triangular pyramids, cuboids, square base, and triangular prisms, etc. You will also study the applications of Euler’s formula.

• 10.1 Introduction
• 10.2 Views Of 3d-Shapes
• 10.3 Mapping Space Around Us
• 10.4 Faces, Edges And Vertices

Class 8 Maths Chapter 11 Mensuration

This chapter will deal with issues related to areas and perimeter of closed figures. Along with this, you will study the volume of solid figures like a cylinder, cube, cuboid, and so on. You will also get to know how to transform the quantity into various units.

• 11.1 Introduction
• 11.2 Let Us Recall
• 11.3 Area Of Trapezium
• 11.4 Area Of A General Quadrilateral
• 11.5 Area Of A Polygon
• 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 power

The primary thing you will study in this chapter is power and exponents: power that has negative exponents, decimal numbers and their scientific documentation, the dependency of the exponent’s law, utilizing exponents in order to express the numbers and comparing small numbers to extremely large numbers.

• 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

Class 8 Maths Chapter 13 Inverse and Direct Proportions

The questions in this chapter will give you details on inverse and direct proportions. This inverse and direct proportions are identified based on the relative decrease or increase of one quantity with respect to other quantities. The questions in this chapter will be from daily life and interesting.

• 13.1 Introduction
• 13.2 Direct Proportion
• 13.3 Inverse Proportion

Class 8 Maths Chapter 14 Factorisation

This chapter is based on the factorization of algebraic expressions and natural numbers. This can is either algebraic values, numbers, or expressions. Furthermore, you will learn about the factorization method used for common factors, by using identities, factors, and regrouping terms. You will also learn division of one polynomial by other, monomial by monomial or polynomial, and finding an error in algebraic equations.

• 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?

Class 8 Maths Chapter 15 Introduction to Graphs

In this chapter you understand the purpose and importance of graphs, to show the numerical facts in visual forms so that everyone is able to understand the concept very easily. You will also study about quantity and cost, simple and principal interest, time and distance, on graphs with the use of independent and dependent variables.

• 15.1 Introduction
• 15.2 Linear Graphs
• 15.3 Some Applications

Class 8 Maths Chapter 16 Playing with numbers

In this chapter, you will deal with numbers in a general form. There are also puzzles and games in this chapter related to numbers. There are also divisibility tests along with questions based on them.

• 16.1 Introduction
• 16.2 Numbers In General Form
• 16.3 Games With Numbers
• 16.4 Letters For Digits
• 16.5 Tests Of Divisibility

It is important to prepare for the entrance exam along with the school exams. This NCERT solutions for class 8 maths helps you precisely with that. We will also keep content related to other subjects updated on our website so that you can find everything in one place.

FAQs on NCERT Solutions for Class 8 Maths

1.  How do I start the Class 8 Maths (CBSE)?

Best Resources to begin preparation for Class 8 Maths is through NCERT Textbook Solutions. Try covering all the topics so that you will not have any difficulty during the time of the exam.

2.  How can I score good marks in the Maths Class 8 CBSE?

Candidates can score good marks in the CBSE Class 8 Maths Exam by making use of the ultimate preparation tools like Study Materials, Notes & Syllabus, NCERT Solutions, etc. Practice as many times as possible and revise the concepts thoroughly.

3. Where can I get solutions for NCERT class 8 Maths Chapterwise?

Aspirants can get the NCERT Class 8 Maths Chapterwise Solutions by referring to the quick links made available on our page. Go through the topics listed under parent topics as per your choice and prepare well for the exam.

4. Which book of mathematics should I refer in Class 8?

You can refer to the Standard NCERT Textbooks prescribed by the CBSE Board for your Class 8 Mathematics Exam Preparation.

5. What is the best way of studying in Class 8?

The best way of studying for Class 8 is by practicing Previous Papers, referring to NCERT Solutions. You can score better grades in the exam with the ultimate preparation tools.

6. How can I download the Class 8 Maths Sample Papers PDF?

You can download the Class 8 Maths Previous Papers PDF through the direct links available on our page.

More CBSE Class 8 Study Material

• NCERT Solutions for Class 8 Science
• NCERT Solutions for Class 8 Social Science
• NCERT Solutions for Class 8 English
• NCERT Solutions for Class 8 English Honeydew
• NCERT Solutions for Class 8 English It So Happened
• NCERT Solutions for Class 8 Hindi
• NCERT Solutions for Class 8 Sanskrit

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NCERT Solutions for Class 8 Maths

Ncert solutions for class 8 maths cbse 2023-24 edition – free pdf download.

NCERT Solutions for Class 8 Maths includes all the questions provided in the textbook that is prescribed in accordance with the CBSE Board. The syllabus given for all the classes is completely based on the NCERT curriculum. Hence, preparing for exams using NCERT Solutions will definitely provide students with an advantage.

BYJU’S NCERT Class 8 Solutions for Maths has been designed to help students solve problems with ease. The CBSE 8th Class Solutions for Maths provided here come with well-prepared exercises along with detailed explanations given by our expert teachers that further make learning and understanding concepts an easy task. So, if students have been looking for the most detailed and accurate Class 8 NCERT Solutions for Maths,  which is also free, this is the right place.

NCERT Solutions for Maths Class 8 Chapter-Wise – Free PDF Download

Chapter-Wise NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8th Maths provided here are very beneficial for students. They can use these  NCERT Solutions for Class 8 as a reference while practising the problems and developing better skills along with preparing efficiently for the exams. The exercises are given at the end of every chapter to practise the concepts learned in the chapter.

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. The chapter deals with the role of zero and one, multiplication over addition, representation of rational Numbers on the number line , and searching for rational numbers between two rational numbers. The topics of additive identity (0) and multiplicative identity (1) are also covered in this chapter. There are 2 exercises in this chapter, which contain questions from all the topics present in the chapter.

Maths Class 8 NCERT Solutions Chapter 1 Exercises
– 11 Questions (11 Short Answers)
– 7 Questions (7 Short Answers)

Also, access the following resources for Class 8 Chapter 1 Rational Numbers  at BYJU’S:

• Rational Numbers Class 8 Notes – Chapter 1
• NCERT Exemplar Class 8 Maths Solutions for Chapter 1 – Rational Numbers
• RD Sharma Solutions for Class 8 Maths Chapter 1 – Rational Numbers

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NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable

The chapter, Linear Equations in One Variable, deals with linear expression in one variable alone. Such equations are known as linear equations in one variable . There are six exercises in this chapter with a total of 65 questions in them. The chapter includes different concepts, including solving linear equations in one variable, some of its applications, reducing equations to a simpler form and word problems related to linear equations in one variable.

Maths Class 8 NCERT Solutions Chapter 2 Exercises
– 12 Questions (12 Short Answers)
– 16 Questions (6 Long Answers, 10 Short Answers)
– 10 Questions (3 Long Answers, 7 Short Answers)
– 10 Questions (4 Long Answers, 6 Short Answers)
– 10 Questions (1 Long Answer, 9 Short Answers)
– 7 Questions (1 Long Answer, 6 Short Answers)

Also, access the following resources for Class 8 Chapter 2 Linear Equations in One Variable  at BYJU’S:

• Linear Equations In One Variable Class 8 Notes- Chapter 2
• NCERT Exemplar Class 8 Maths Solutions for Chapter 4 – Linear Equations In One Variable
• RD Sharma Solutions for Class 8 Maths Chapter 9 Linear Equation in One Variable

NCERT Solutions for Class 8 Maths Chapter 3 Understanding Quadrilaterals

The chapter Understanding Quadrilaterals of Class 8 Maths provides the students with a proper understanding of the quadrilaterals . The chapter also covers different kinds of polygons, including triangles, quadrilaterals, pentagons, hexagons, etc. The chapter contains 4 exercises which aid the students in understanding these shapes properly.

Maths Class 8 NCERT Solutions Chapter 3 Exercises
– 7 Questions (1 Long Answer, 6 Short Answers)
– 6 Questions (6 Short Answers)
– 12 Questions (6 Long Answers, 6 Short Answers)
– 6 Questions (1 Long Answer, 5 Short Answers)

Also, access the following resources for Class 8 Chapter 3 Understanding Quadrilaterals  at BYJU’S:

• Understanding Quadrilaterals Class 8 Notes – Chapter 3
• Important Questions for Maths Class 8 Chapter 3 Understanding Quadrilaterals
• NCERT Exemplar Class 8 Maths Solutions for Chapter 5 – Understanding Quadrilaterals Practical Geometry
• RD Sharma Solutions for Class 8 Maths Chapter 16 Understanding Shapes- II (Quadrilaterals)

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry

The chapter, Practical Geometry, includes the method of constructing a quadrilateral with various parameters given. The chapter consists of 5 exercises, each dealing with different methods of constructing the quadrilateral. For instance, the first exercise deals with the construction of quadrilaterals when the length of four sides and a diagonal are given; similarly, the second exercise involves the method of construction of quadrilaterals when two diagonals and three sides are given, and so on. Hence, we can conclude that learning this chapter will make the students well-versed in all the concepts of quadrilateral for further classes.

Maths Class 8 NCERT Solutions Chapter 4 Exercises
– 1 Question (1 Long Answer)
– 1 Question (1 Long Answer)
– 1 Question (1 Long Answer)
– 1 Question (1 Long Answer)
– 4 Questions (4 Long Answers)

Also, access the following resources for Class 8 Chapter 4 Practical Geometry  at BYJU’S:

• Practical Geometry Class 8 Notes – Chapter 4
• Important Questions Maths Class 8 Chapter 4: Practical Geometry
• RD Sharma Solutions for Class 8 Maths Chapter 18 Practical Geometry (Constructions)

NCERT Solutions for Class 8 Maths Chapter 5 Data Handling

The collection of information that can be used for analysis is known as data. In this chapter, students learn about the organisation and representation of data. Organising the data in a systematic method is referred to as data handling . In this chapter, students learn to represent these data diagrammatically as a pictograph, a bar graph, a double bar graph, a pie chart and a histogram. During the course of this chapter, students will be briefed about the concept of probability or likelihood. There are 3 exercises in this chapter that deal with all the concepts covered in the chapter.

Class 8 NCERT Solutions Maths Chapter 5 Exercises
– 5 Questions (5 Short Answers)
– 5 Questions (3 Long Answers, 2 Short Answers)
– 6 Questions (2 Long Answers, 4 Short Answers)

Also, access the following resources for Class 8 Chapter 5 Data Handling  at BYJU’S:

• Data Handling Class 8 Notes- Chapter 5
• Important Questions Class 8 Maths Chapter 5 Data Handling
• NCERT Exemplar Class 8 Maths Solutions for Chapter 2 – Data Handling
• RD Sharma Solutions for Class 8 Maths Chapter 23 Data Handling – I (Classification and Tabulation of Data)

NCERT Solutions for Class 8 Maths Chapter 6 Square and Square Roots

This chapter, Squares and Square Roots, helps the students learn about the concept of square numbers and the square root of a number. The chapter deals with properties of square numbers, interesting patterns that could be learnt using square numbers, finding the square of a number, Pythagorean triplets , finding square roots through various methods, square roots of decimals and much more.

Maths Class 8 NCERT Solutions Chapter 6 Exercises
– 9 Questions (9 Short Answers)
– 2 Questions (2 Short Answers)
– 10 Questions (3 Long Answers, 7 Short Answers)
– 9 Questions (3 Long Answers, 6 Short Answers)

Also, access the following resources for Class 8 Chapter 6 Square and Square Roots  at BYJU’S:

• Squares and Square Roots Class 8 Notes: Chapter 6
• RD Sharma Solutions for Class 8 Maths Chapter 3 – Squares and Square Roots
• NCERT Exemplar Class 8 Maths Solutions for Chapter 3 – Squares And Square Roots Cubes And Cube Roots
• Important Questions Class 8 Maths Chapter 6- Squares and Square Roots

NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots

In the chapter, Cubes and Cube Roots, students learn about numerous strategies to find out the cubes and cube roots of a number. The chapter discusses finding the cubes of different numbers, some interesting patterns that could be learnt using cubes and finding the cube roots . There are 2 exercises in the chapter that will help the students understand the basics of cubes and cube roots in depth.

Maths Class 8 NCERT Solutions Chapter 7 Exercises
– 4 Questions (4 Short Answers)
– 3 Questions (2 Long Answers,1 Short Answer)

Also, access the following resources for Class 8 Chapter 7 Cube and Cube Roots  at BYJU’S:

• Cubes and Cube Roots Class 8 Notes: Chapter 7
• Important Questions Class 8 Maths Chapter 7: Cubes and Cube Roots
• RD Sharma Solutions for Class 8 Maths Chapter 4 – Cubes and Cube Roots

NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities

The chapter, Comparing Quantities, helps the students in learning the comparison between the rise and decrease of percentages, market value, sales value, discount, etc. The chapter deals with an important concept that can be used in day-to-day life, Interest. Students learn about simple interest , compound interest calculated half-yearly, quarterly, monthly or yearly, and much more. There are 3 exercises in this chapter which help the students in learning the concept of comparing quantities.

Maths Class 8 NCERT Solutions Chapter 8 Exercises
– 6 Questions (1 Long Answer, 5 Short Answers)
– 10 Questions (4 Long Answers, 6 Short Answers)
– 12 Questions (6 Long Answers, 6 Short Answers)

Also, access the following resources for Class 8 Chapter 8 Comparing Quantities  at BYJU’S:

• Important Question Class 8 Maths Chapter 8: Comparing Quantities
• NCERT Exemplar Class 8 Maths Solutions for Chapter 9 – Comparing Quantities
• Comparing Quantities Class 8 Notes: Chapter 8

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities

This chapter, Algebraic Expressions and Identities, helps the students understand the concepts like terms, factors and coefficients related to algebraic expressions. A brief on the basics of monomials , binomials and polynomials is also given in the chapter. Students learn the addition, subtraction and multiplication of algebraic expressions. The concept of identity is also covered in the chapter. The 5 exercises in the chapter cover all the concepts present in algebraic expressions and identities.

Maths Class 8 NCERT Solutions Chapter 9 Exercises
– 4 Questions (4 Short Answers)
– 5 Questions (5 Short Answers)
– 5 Questions (5 Short Answers)
– 3 Questions (3 Short Answers)
– 8 Questions (8 Short Answers)

Also access the following resources for  Class 8 Chapter 9 Algebraic Expressions and Identities  at BYJU’S:

• Algebraic Expressions and Identities Class 8 Notes: Chapter 9
• RD Sharma Solutions for Class 8 Maths Chapter 6 – Algebraic Expressions and Identities
• NCERT Exemplar Class 8 Maths Solutions for Chapter 7 – Algebraic Expressions And Identities Factorisation
• Important Questions Class 8 Maths Chapter 9 Algebraic Expressions and Identities

NCERT Solutions for Class 8 Maths Chapter 10 Visualizing Solid Shapes

In this chapter, with the help of 3 exercises present, students learn to visualize solid shapes in different dimensions. The chapter is very interesting since it deals with viewing 3D shapes, mapping the space around us, and learning about faces, edges and vertices. The chapter also discusses Euler’s formula , which states that F + V – E = 2, where F is Faces, V is Vertices, and E is Edges, along with its application.

Class 8 NCERT Solutions Maths Chapter 10 Exercises
–  4 Questions (4 Short Answers)
– 4 Questions (3 Short Answers, 1 Long Answer)
– 8 Questions (8 Short Answers)

Also, access the following resources for Class 8 Chapter 10 Visualizing Solid Shapes  at BYJU’S:

• Visualising Solid Shapes Class 8 Notes: Chapter 10
• Important Questions Class 8 Maths Chapter 10 Visualising Solid Shapes
• RD Sharma Solutions for Class 8 Maths Chapter 19 Visualising Shapes
• NCERT Exemplar Class 8 Maths Solutions for Chapter 6 – Visualising Solid Shapes

NCERT Solutions for Class 8 Maths Chapter 11 Mensuration

Students in lower classes must have learnt about the area and perimeter of various closed plane figures such as triangles, rectangles, circles, etc. In this chapter, Mensuration , students will learn to solve problems related to the perimeter and area of other plane closed figures like quadrilaterals. Eventually, the students will learn about the surface area and volume of different solid shapes such as a cube, cuboids and cylinders. A total of 4 exercises are present in this chapter.

Maths Class 8 NCERT Solutions Chapter 11 Exercises
– 5 Questions (5 Long Answers)
– 11 Questions (11 Long Answers)
– 10 Questions (2 Short Answers, 8 Long Answers)
– 8 Questions (2 Short Answers, 6 Long Answers)

Also, access the following resources for Class 8 Chapter 11 Mensuration  at BYJU’S:

• Mensuration Class 8 Notes- Chapter 11
• Important Questions Class 8 Maths Chapter 11 Mensuration
• RD Sharma Solutions for Class 8 Maths Chapter 20 Mensuration – I (Area of a Trapezium and a Polygon)
• NCERT Exemplar Class 8 Maths Solutions for Chapter 11 – Mensuration

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

In the chapter, Exponents and Powers, students learn different concepts, including powers with negative exponents, laws of exponents , use of exponents to express the numbers in standard form and comparison of extremely large numbers with small numbers. The chapter consists of 2 exercises to help the students learn about the topics of exponents and powers.

Maths Class 8 NCERT Solutions Chapter 12 Exercises
– 7 Questions (7 Short Answers)
– 4 Questions (4 Short Answers)

Also, access the following resources for Class 8 Chapter 12 Exponents and Powers  at BYJU’S:

• NCERT Exemplar Class 8 Maths Solutions for Chapter 8 – Exponents And Powers
• Important Questions Class 8 Maths Chapter 12 Exponents And Powers
• RD Sharma Solutions for Class 8 Maths Chapter 2 – Powers

NCERT Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions

This chapter contains 2 exercises with questions based on the concepts of direct proportion and inverse proportion. Two quantities, x and y are said to be in direct proportion if they increase (decrease) together in such a manner that the ratio of their corresponding values remains constant. On the other hand, two quantities, x and y, are said to be in inverse proportion if an increase in x causes a proportional decrease in y (and vice-versa) in such a manner that the product of their corresponding values remains constant.

Maths Class 8 NCERT Solutions Chapter 13 Exercises
– 10 Questions (10 Short Answers)
– 11 Questions (11 Long Answers)

Also, access the following resources for Class 8 Chapter 13 Direct and Inverse Proportions  at BYJU’S:

• Direct and Inverse Proportions Class 8 Maths Notes – Chapter 13
• NCERT Exemplar Class 8 Maths Solutions for Chapter 10 – Direct And Inverse Proportions
• Important Questions Class 8 Maths Chapter 13 Direct and Inverse Proportions
• RD Sharma Solutions for Class 8 Maths Chapter 10 Direct and Inverse Variations

NCERT Solutions for Class 8 Maths Chapter 14 Factorization

In this chapter, students learn to perform Factorization. The topics covered in this chapter include factors of natural numbers and algebraic expressions , factorisation by regrouping terms and factorisation using identities. The chapter also deals with the division of algebraic expressions that, includes division of a monomial by another monomial, division of a polynomial by a monomial, etc. There are 4 exercises in this chapter that contain questions covering all the topics present in the chapter.

Maths Class 8 NCERT Solutions Chapter 14 Exercises
– 3 Questions (3 Short Answers)
– 5 Questions (5 Short Answers)
– 5 Questions (5 Short Answers)
– 21 Questions (21 Short Answers)

Also, access the following resources for Class 8 Chapter 14 Factorization  at BYJU’S:

• RD Sharma Solutions for Class 8 Maths Chapter – 7 Factorization
• Factorisation Class 8 Notes- Chapter 14
• Important Questions Class 8 Maths Chapter 14 Factorization

NCERT Solutions for Class 8 Maths Chapter 15 Introduction to Graphs

In the chapter, Introduction to Graphs, students learn to represent different types of data with various kinds of graphs. The different types of graphs include bar graphs , pie graphs, line graphs and linear graphs. The chapter will help the students in learning how to locate a point and coordinate in a graph. A total of 3 exercises are present in the chapter that will help the students understand the concepts of Graphs.

Class 8 NCERT Solutions Maths Chapter 15 Exercises
– 7 Questions (7 Long Answers)
– 4 Questions (4 Short Answers)
– 2 Questions (2 Short Answers)

Also, access the following resources for Class 8 Chapter 15 Introduction to Graphs  at BYJU’S:

• Introduction To Graphs Class 8 Notes- Chapter 15
• Important Questions Class 8 Maths Chapter 15: Introduction to Graphs
• NCERT Exemplar Class 8 Maths Solutions for Chapter 12 – Introduction To Graphs
• RD Sharma Solutions for Class 8 Maths Chapter 27 Introduction to Graphs

NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

Students, so far, have studied various types of numbers, such as natural numbers, whole numbers, integers and rational numbers . They might have also studied a number of interesting properties of these numbers, finding factors, multiples and the relationships among them. Likewise, in this chapter, students can explore the vast genres of numbers in detail. These ideas can help the students in justifying tests of divisibility. There are 2 exercises in this chapter that covers the topic of playing with numbers.

Class 8 NCERT Solutions Maths Chapter 16 Exercises
– 10 Questions (Short Answers)
– 4 Questions (Short Answers)

Also, access the following resources for Class 8 Chapter 16 Playing with Numbers  at BYJU’S:

• Playing With Numbers Class 8 Notes- Chapter 16
• Important Questions Class 8 Maths Chapter 16: Playing with Numbers
• NCERT Exemplar Class 8 Maths Solutions for Chapter 13 – Playing with Numbers
• RD Sharma Solutions for Class 8 Maths Chapter 5 – Playing with Numbers

CBSE Class 8 Maths Solutions of NCERT Book

We are providing chapter-wise NCERT Maths Solutions for Class 8. The solutions provided on this page will help students understand and solve all the NCERT Class 8 mathematics book questions. These solutions are free, and students can view them online on the website or download the PDF.

Solving NCERT Maths question papers and sample papers will also help the students to understand different types of questions as well as the marking scheme. Also, students can learn from NCERT Exemplar Class 8 to practise exemplar problems.

Key Features of BYJU’S NCERT Class 8 Maths Solutions

• These solutions cover all the chapters that are included in the Class 8 Maths book.
• The solutions are given in easy steps to help students understand the concepts better.
• These solutions can be downloaded and referred to at any time and at any place.
• These CBSE 8th Class Maths solutions are available for free, and any student can access them.

These are just a few benefits of using the Solutions of Maths NCERT 8th Class . Students can register with BYJU’S and get the opportunity to learn topics of CBSE or NCERT syllabus for Class 8 Maths or any other Class more effectively. They can learn different topics right from their homes using the internet, where they can browse content on their PCs. Moving on, students can customize their learning experience, and they can do it all at their own pace without worrying about deadlines or any stress. Further, we are providing the best subject experts or mentors who will guide students to learn the subject and its concepts in a more simple and fun manner.

Another benefit that students can experience with BYJU’S is that they can opt to learn NCERT subjects by accessing our solutions anywhere and at any time of the day. In addition, BYJU’S is keen on tracking the progress that students make. Feedback and counselling are provided via periodic assessments. In case students face any doubts while going through the CBSE Class 8 Maths NCERT Solutions , they can always approach our BYJU’S support team to clear all their doubts. Besides, students can bring in all their queries regarding Maths as well as other subjects, including Physics, Chemistry, and Biology. Our responsive team is always ready to answer all types of questions.

Students can also download the BYJU’S app and get complete assistance for Class 8 with a new method of learning through educational videos.

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