NCERT Solutions for Class 8 Maths chapter-wise answers are available for direct download, designed by experts in accordance with the latest syllabus.
National Council of Education Research & Training (NCERT) is an esteemed, prestigious, and autonomous organization run by India's Government. Established on 1st September 1961, NCERT has its headquarters located at Sri Aurobindo Marg in New Delhi. It mainly undertakes the tasks & shoulders the responsibility of publishing textbooks as per the CBSE curriculum. NCERT Solutions for Class 8 Maths have been tabulated below in the article, chapter-wise, along with brief details on each chapter. Maths is a subject that requires a strong foundation, and NCERT books for Class 8 provide that. To make work simpler for students, NCERT solutions for Class 8 Maths all chapters (chapter 1-16) are given below.
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Each chapter of the NCERT Class 8 Maths textbook contains various exercises enabling the students to get a firm grasp over every chapter & topic discussed in the chapter and help eliminate the fear of numbers from students' minds. The solutions for NCERT Maths books class 8 are presented here are developed keeping in mind every kind of student & in the simplest possible way so that even a student scared of the subject can easily comprehend it.
The page is entirely dedicated to the solutions of all the individual chapters from 1 to 16 of NCERT Class 8 Maths solutions, which have been compiled together & tabulated along with PDF download links.
Click on the links below to download NCERT Solution for Class 8 Maths in pdf format, all chapters.
Here, in the solutions, we have shown step by step solutions to each & every problem enabling the students to clearly understand the problem & also encourage them to come up with their formulas, techniques & ideas to solve a problem. The primary goal behind developing the solutions for the CBSE NCERT Maths book of Class 8 is to provide all-inclusive solutions in the most straightforward possible manner & help them get the best preparation to keep their best foot forward for Class 8th school exams.
NCERT Solutions for Class 8 Maths Chapter 1
A rational number is any number that can be expressed in the form of a fraction like p/q, where p can be any number & q must necessarily be a non-zero number.
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The topics included in chapter 1 Rational Numbers are,
- Introduction
- Properties of Rational Numbers
- Closure
- Commutativity
- Associativity
- The role of Zero (0)
- The role of 1
- Negative of a number
- Reciprocal
- Distributivity of multiplication over addition for rational numbers
- Representation of rational numbers on the number line
- Rational Numbers between two rational numbers
NCERT Solutions for Class 8 Maths Chapter 2
The algebraic equation has only a single variable with the highest power as one, like, for instance, 2x-10=8.
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- Chapter 2 Linear Equations in One Variable Part-I (Exercise 2.1 to 2.3)
- Chapter 2 Linear Equations in One Variable Part-II (Exercise 2.4 to 2.6)
In chapter 2, we will study more such equations in greater depth & many other concepts.
- Introduction
- Solving linear expressions
- Some Applications
- Reducing equations to a simpler form
- Equations reducible to the linear form
NCERT Solutions for Class 8 Maths Chapter 3
Any four-sided polygon like square, rectangle, rhombus, etc., is called a quadrilateral. We will study & understand the nature, properties & a lot more about quadrilaterals in this chapter.
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Topics covered in Quadrilaterals chapters are as follows.
- Introduction
- Polygons
- Classification of Polygons
- Diagonals
- Convex & Concave Polygons
- Regular & Irregular Polygons
- Angle sum Property
- Exterior Angles of a Polygon
- Kinds of Quadrilaterals
- Trapezium
- Kite
- Parallelogram
- Elements of a parallelogram
- Angles of a parallelogram
- Diagonals of a parallelogram
- Some Special Parallelograms
- Rhombus
- A rectangle
- A square
NCERT Solutions for Class 8 Maths Chapter 4
In the practical geometry chapter, we will be learning how to draw different quadrilaterals in different cases. For example, in some cases, sides' measurements will be given, whereas measures of diagonal & sides will be provided in some cases.
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In chapter 4, students will come across all different possible scenarios in this chapter.
- Introduction
- Constructing a Quadrilateral
- When the lengths of four sides and a diagonal are given.
- When two diagonals and three sides are given
- When two adjacent sides and three angles are known
- When three sides & two included angles are given
- Some special cases
NCERT Solutions for Class 8 Maths Chapter 5
Different data can be obtained based on our type of research or study & we can interpret the set of data to derive a conclusion or make a decision. Moreover, this data set can be represented in many ways, like graphical representation, pictorial representation, etc.
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Chapter 5 covers the following topics.
- Looking for information
- Organizing Data
- Grouping Data
- Bars with a difference
- Circle graph or pie chart
- Drawing pie charts
- Chance & Probability
- Getting a result
- Equally likely outcomes
- Linking changes to probability
- Outcomes as events
- Chance & probability related to real life
NCERT Solutions for Class 8 Maths Chapter 6
In the chapter "Squares & Squares Roots," we will study how to find out a number's squares & square roots. We will also stumble upon a term called "square number" that can be defined as a number derived by multiplying a number with the number itself.
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Chapter 6 covers the following topics.
- Introduction
- Properties of square numbers
- Some more interesting patterns
- Finding the square of a number
- Other patterns in squares
- Pythagorean triplets
- Square Roots
- Finding square roots
- Finding square root through repeated Subtraction
- Finding square root through prime factorization
- Finding square root by division method
- Squares roots of decimals
- Estimating square root
NCERT Solutions for Class 8 Maths Chapter 7
In chapter 7, students will learn to find cubes & cube roots of a number & many other concepts related to it. The cube or cube root of a number can be obtained by multiplying the number thrice with itself.
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Chapter 7 covers the following topics.
- Introduction
- Cubes
- Some interesting patterns
- Smallest multiple that is a perfect cube
- Cube Roots
- Cube Root through prime factorization method
- Cube root of a cube number
NCERT Solutions for Class 8 Maths Chapter 8
In chapter 8, students study how to compare two quantities using concepts like "ratios" & "percentage." Both concepts are used for the same purpose, but there is a slight difference between them. We will find out what that difference is after going through the chapter.
Download Class 8 Maths Chapter 8 Solutions
The comparing quantities included the following chapters.
- Recalling Ratios & Percentages
- Finding the increase or decrease percent
- Finding discounts
- Estimation in percentages
- Prices related to buying & selling
- Finding cost price/selling price, profit %/ loss%
- Sales Tax/Value Added Tax
- Compound Interest
- Deducing a formula for compound interest
- Rate compounded annually/half-yearly
- Applications of compound interest formula
NCERT Solutions for Class 8 Maths Chapter 9
The basic structure of any algebraic expression contains variables & constants were; for different values of variables, the value of the expression changes.
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- Chapter 9 Exercise 9.1
- Chapter 9 Exercise 9.2
- Chapter 9 Exercise 9.3
- Chapter 9 Exercise 9.4
- Chapter 9 Exercise 9.5
Study in-depth about the algebraic expression and identities concepts covered in the chapter.
- What are expressions?
- Terms,factors & coefficients
- Monomials, binomials & polynomials
- Like & Unlike terms
- Addition & Subtraction of algebraic expressions
- Multiplication of algebraic expressions: Introduction
- Multiplying a monomial by a monomial
- Multiplying two monomials
- Multiplying three or more monomials
- Multiplying a monomial by a polynomial
- Multiplying a monomial by a binomial
- Multiplying a monomial by a trinomial
- Multiplying a polynomial by a polynomial
- Multiplying a binomial by a binomial
- Multiplying a binomial by trinomial
- What is an identity?
- Standard Identities
- Applying identities
NCERT Solutions for Class 8 Maths Chapter 10
Chapter 10 details solid shapes like cubes, cuboids, cylinders, etc. There are two kinds of shapes: plane shapes & solid shapes. A plane shape has two measurements like length and breadth, like rectangle and square, whereas solid shapes have three measurements: length, breadth & height, or depth.
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In the Visualising Solid Shapes chapter, students study solid shapes in detail.
- Introduction
- Views of 3D-Shapes
- Mapping space around us
- Faces, Edges & Vertices
NCERT Solutions for Class 8 Maths Chapter 11
Mensuration chapter covers various theorems of shapes and solved and practice exercises.
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The chapter "Mensuration" covers the following concepts.
- Introduction
- Let us recall
- Area of Trapezium
- Area of a general Quadrilateral
- Area of special quadrilaterals
- Area of a Polygon
- Solid Shapes
- Surface Area of cube, cuboid & cylinder
- Cuboid
- Cube
- Cylinders
- The volume of cube, cuboid & cylinder
- Cuboid
- Cube
- Cylinder
- Volume & Capacity
NCERT Solutions for Class 8 Maths Chapter 12
The concept of Exponents & Powers comes into play when there is a huge number & we convert it into a smaller number by placing a number as the power of another number.
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Below are the topics covered in chapter 12, exponents and powers.
- Introduction
- Powers with negative exponents
- Laws of Exponents
- Use of exponents to express small numbers in standard form
- Comparing very large & Very small numbers
NCERT Solutions for Class 8 Maths Chapter 13
Chapter 13 Direct and Inverse proportions cover exercises, theorems, and solved examples of direct proportions and inverse proportions.
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The Direct and Inverse proportions chapter will cover the following concepts in much detail.
- Introduction
- Direct Proportion
- Inverse Proportion
NCERT Solutions for Class 8 Maths Chapter 14
Factorization of a number means representing the number as a product of its factors or natural numbers.
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The chapter Factorization will focus on the following concepts in detail:
- Introduction
- Factors of natural numbers
- Factors of algebraic expressions
- What is factorization?
- Method of common factors
- Factorization by regrouping terms
- Factorization using identities
- Factors of the form (x+a) (x+b)
- Division of algebraic expressions
- Division of a monomial by another monomial
- Division of a polynomial by a monomial
- Division of algebraic expressions continued
- Can you find the error?
NCERT Solutions for Class 8 Maths Chapter 15
Graphs are visual representations of a set of data which makes it easy & convenient for the reader to arrive at some conclusion from the graph.
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In an Introduction to Graphs chapter, we will study various kinds of graphs & the following topics :
- Introduction
- A Bar Graph
- A pie-graph
- A histogram
- A line-graph
- Linear Graphs
- Location of a point
- Coordinates
- Some Applications
NCERT Solutions for Class 8 Maths Chapter 16
The chapter Playing with numbers covers the number games.
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Below topics in chapter 16 are followed by many exercises for students to solve & practice.
- Introduction
- Numbers in general form
- Games with numbers
- Letters for digits
- Tests of divisibility
- Divisibility by 10
- Divisibility by 5
- Divisibility by 2
- Divisibility by 9 & 3
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