NCERT Solutions for Class 8 Maths

NCERT Solutions for Class 8 Maths provides a general idea for the students about the structure and important topics of each of the Mathematics chapters. Along with NCERT Solutions, all NCERT Excercise problems, Multiple choice questions, important questions and formulas have been provided as additional resources for the students to prepare for their examinations. Students can download the NCERT Solutions in PDF format.

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NCERT Solutions for Class 8 Mathematics

To access the NCERT solutions for all Mathematics chapters and other class 8 subjects, students can refer the table given below:  

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NCERT Chapter-wise Articles

NCERT Solutions and respective exercise solutions have been provided below.

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Chapter 1 Rational Numbers

A rational number is number that is represented as the quotient of a fraction p/q where q is a non-zero integer. All integers are rational numbers. Some of the important topics in this chapter include:

• Natural Numbers and Whole Numbers
• Closure Property
• Fraction and Rational Number
• Rational Numbers on Numberline
• Rational Numbers between 2 Rational Numbers
• Root 2 is Irrational

Also Read: Irrational Numbers

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Chapter 2 Linear Equation with one Variable

A linear equation is where there a constant and a variable. In this chapter the methods to solve a linear equation with one variable is explained. Some of the important topics in this chapter include:

• Cross Multiplication by method of solving linear equation
• Solving Linear Equation
• Reducing equations to simpler forms
• Solving equations having variables of both sides
• Equations reducible to linear form
• Division of monomial by another monomial
• Division of Polynomial by monomial
• Linear Approximation Formula
• Linear Equation with one variable MCQs​

Also Read: Linear Equations in Two Variables

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Chapter 3 Quadrilaterals

Any two dimensional shape with 4 sides is called a quadrilateral. Square, rectangle, trapezium, rhombus, parallelogram are some of the quadrilaterals. Some of the important topics in this chapter include:

• Pythogorean Triples Formula
• Types of Polygon
• Kite
• Parallelogram
• Rhombus
• Rectangle
• Area of Quadrilateral​

Also Read: Quadrilaterals

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Chapter 4 Practical Geometry

Practical geometry is a btanch of Geoometry in which students learn how to construct verious geometric shapes such as line segments, angles and different polygons. Practical application of geometry and construction of various geometries are covered in this chapter. Some of the important topics in this chapter include:

• Exterior Angles of Polygon
• Construction of Rhombus
• Practical Geometry MCQs​

Also Read: Introduction to Three-Dimensional Geometry

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Chapter 5 Data Handling

Data handling is the process of data collection, storage, structuring and analysis. Some of the important topics in this chapter include:

• Data Sets
• Data collection and organisation
• Pie Chart
• Pictorial Representation of Data
• Data Handling MCQs​

Also Read: Statistics

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Chapter 6 Squares and Square Roots

The multiplication of a number by itself yields a square number. The vice versa of this process is called square root. Some of the important topics in this chapter include:

• Square Roots
• Square roots through repetitive subtraction
• Square roots through prime factorisation
• Estimating Square root
• Square root MCQs​

Also Read: Square Root Formula

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Chapter 7 Cube and its Roots

Multiplying a number by itself three times yields a cube number. The vice versa of this process is called cube root. Some of the important topics in this chapter include:

• Cubes
• Cube roots
• Cube Formula
• Cube root MCQs​

Also Read: Perfect Cube Numbers

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Chapter 8 Comparing Quantities

In this chapter, different quantities are compared by the use of ratio, proportions, fractions and percentage. Some of the important topics in this chapter include:

• Ratio and Percentage
• Compound Interest
• Comparing Quantities
• Increase or Decrease in Percentage
• Discounts
• Cost Price and Selling price
• Sales Tax
• Profit and Loss Formula
• Comparing Quantities MCQ​

Also Read: Simple Interest Formula

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Chapter 9 Algebraic Identities

Algebraic identities are equations where the LHS is equal to the RHS. Some of the important topics in this chapter include:

• Terms Factors and Coefficient
• Like and Unlike Terms
• Multiplication of Algebraic Expressions
• Multiplication of Monomial by Monomial
• Multiplication of Monomial by Polynomial
• Standard Algebraic Identities​

Also Read: Algebra Formula

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Chapter 10 Visualising Solid Shapes

In this chapter, three dimensional shapes such as cube, cuboid, cone, cylinder are analysed and different parts of the shapes are studied. Some of the important topics in this chapter include:

• Pythogorean Triples Formula
• Some Interesting Patterns
• Mapping Space around us
• Faces, edges and Vertices​

Also Read: Volume and Capacity

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Chapter 11 Mensuration

Mensuration is the measurement of various physical quantities such as area, perimeter of a two-dimensional figure. Some of the important topics in this chapter include:

• Area of Square
• Area of Rectangle
• Area of Rhombus
• Volume and Capacity
• Mensuration Formula​

Also Read: Surface Areas and Volumes

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Chapter 12 Exponents and Powers

Exponents and powers are methods to simplify large numbers into a simple presentable form. Some of the important topics in this chapter include:

• Difference between Powers and Exponents
• Powers and Negative Exponents
• Uses of Exponents to Express small numbers in standard form​

Also Read: Exponent Rules

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Chapter 13 Direct and Inverse Proportions

Direct proportion is where when one quantity is increased, the other also increases. Inverse proportion on the other hand has one quantity increasing while the other decreasing. Some of the important topics in this chapter include:

• Direct Proportion
• Numbers in General Form
• Divisibility rule of 3​

Also Read: Direct and Inverse Proportion

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Chapter 14 Factorisation

Factorisation is the process of simplifying the equations into a form which cannot be simplified anymore further. Some of the important topics in this chapter include:

• Factoring Formula
• Factoring Trinomials Formula
• Division of Monomial by another monomial
• Division of Polynomial by another monomial​

Also Read: Relation Between LCM and HCF

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Chapter 15 Introduction to Graphs

Different types of graphs, the cartesian coordinate system, plotting in graphs are covered in this chapter. Some of the important topics in this chapter include:

• Bar Graphs
• Histogram
• Introduction to Graphs MCQS​

Also Read: Graphs

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Chapter 16 Playing with Numbers

In this chapter different types of numbers, logical solving of numerical problems are covered. Some of the important topics in this chapter include:

• Prime numbers
• Is 1 a prime number
• LCM Formula
• Divisibility Rules
• Playing With Numbers MCQs​

 

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