NCERT Solutions for Class 9 Political Science Chapter 2

August 8, 202239 Insightful Publications

**NCERT Solutions for Class 6 Maths:** NCERT books are considered the ideal study material for CBSE board students, as it helps create a strong foundation for higher grades and various competitive exams. The solutions provided by the subject experts of Embibe contain detailed explanations of every question that is provided in the NCERT textbooks.

Embibe exclusively offers chapter-wise NCERT Class 6 Maths Solutions to help students clear their doubts. Our professionals provide in-depth knowledge of the concepts so that students can understand them without facing any difficulties. We have provided the NCERT Maths Question and Answers and textbook study material for free in PDF format so that students can download them and study offline. Continue reading to learn more.

CBSE Maths Solutions for Class 6 provided in this article are solved by a team of academic experts at Embibe, and the solutions strictly adhere to the latest CBSE marking guidelines. These solutions will help you easily solve all the CBSE Class 6 Maths textbook problems.

A total of 14 chapters are provided on this page, and students can go through the latest CBSE 6th Class Maths Questions and Answers section-wise PDF to boost their preparation. In addition, students can get chapter-wise NCERT Maths Book Class 6 Solutions PDF Free Download from the links provided on this Embibe page.

Sl. No. | Chapter Name |
---|---|

Chapter 1 | Knowing Our Numbers |

Chapter 2 | Whole Numbers |

Chapter 3 | Playing with Numbers |

Chapter 4 | Basic Geometrical Ideas |

Chapter 5 | Understanding Elementary Shapes |

Chapter 6 | Integers |

Chapter 7 | Fractions |

Chapter 8 | Decimals |

Chapter 9 | Data Handling |

Chapter 10 | Mensuration |

Chapter 11 | Algebra |

Chapter 12 | Ratio and Proportion |

Chapter 13 | Symmetry |

Chapter 14 | Practical Geometry |

Students looking for detailed CBSE Class 6 Maths solutions for all the chapters do not have to search further. In this article, students will find simple and easy-to-understand solutions for **NCERT Books** exercises.

In addition, students who are preparing for their Class 6 exams should refer to these NCERT Solutions. It is important to practice for exams thoroughly with the help of NCERT Solutions Class 6 Maths PDF. Students can also download these solutions without spending a penny. Embibe offers you free Solutions for Class 6 Maths to help in your study for the exam.

Download – NCERT Solutions for Class 6 Maths |

These **NCERT** Solutions will not only help you in understanding the topics but also in quick revision. You can go through the description of each chapter in the following sections to get an overview of the chapters.

To download NCERT Solutions PDF for a chapter, click on the link given in the description of that chapter. There are 14 Chapters available and explained in NCERT Maths Book Class 6 Solutions PDF Free Download links given below.

**NCERT Solutions **f**or Class 6 Maths Chapter 1 PDF**: From the chapter Knowing Our Numbers, students can understand the sequence of numbers and solve interesting problems based on it. Students will be learning two methods of expressing numbers – in words and digits.

This chapter will strengthen your fundamentals and help you to score more marks in the examination. The topics covered in NCERT Class 6 Maths Chapter 1 are listed below:

- 1.1 Introduction,
- 1.2 Comparing Numbers
- How Many Numbers Can You Make,
- Shifting Digits
- Introducing 10, 000
- Revisiting Place Value
- Introducing 1, 00, 000
- An Aid in Reading and Writing Large Numbers

- 1.3 Large Numbers in Practice,
- Estimation,
- Estimation to the Nearest Ten by Rounding Off
- Estimation to the Nearest Hundreds by Rounding Off
- Estimation to the Nearest Thousands by Rounding Off
- To Estimate Outcome of Numbers
- To Estimation Sum or Difference
- To Estimate Products

- 1.4 Using Brackets
- Expanding Brackets

- 1.5 Roman Numerals

**NCERT Solutions for Class 6 Maths Chapter 2 PDF**: Whole numbers are positive numbers, including zero, without any decimal or fractional parts. All the whole numbers are real numbers, but not all the real numbers are whole numbers.

The set of whole numbers is represented mathematically by the set: {0, 1, 2, 3, 4, 5…}. A more comprehensive understanding of the whole number can be obtained from this chapter.

The topics covered in NCERT Class 6 Maths Chapter 2 are given below:

- 2.1 Introduction,
- 2.2 Whole Numbers,
- 2.3 The Number Line,
- 2.4 Properties of Whole Numbers,
- 2.5 Patterns in Whole Numbers

**NCERT Solutions for Class 6 Maths Chapter 3 PDF**: Just like the chapter name, the chapter’s content is also interesting and makes learning fun.

Students will learn about the following topics: Factors and Multiples, Prime and Composite Numbers, Tests for divisibility of numbers, Common factors and common multiples, Prime factorisation, Highest common factor, Lowest common multiple and Some problems on **HCF and LCM**.

The topics covered in NCERT Class 6 Maths Chapter 3 are listed below:

- 3.1 Introduction,
- 3.2 Factors and Multiples,
- 3.3 Prime and Composite Numbers,
- 3.4 Tests for Divisibility of Numbers: Divisibility by 10, Divisibility by 5, Divisibility by 2, Divisibility by 3, Divisibility by 6, Divisibility by 4, Divisibility by 8, Divisibility by 9, Divisibility by 11,
- 3.5 Common Factors and Common Multiples,
- 3.6 Some More Divisibility Rules,
- 3.7 Prime Factorization,
- 3.8 Highest Common Factor,
- 3.9 Lowest Common Multiple,
- 3.10 Some Problems on HCF and LCM

**NCERT Solutions for Class 6 Maths Chapter 4 PDF**: Geometry is about different shapes and figures. In this chapter, you will get acquainted with the basic ideas of geometry. Here you will learn various aspects of 2D geometry or geometry on a plane surface such as Point, Line, Line segment and ray, Angles, and Different shapes like polygons and circles.

The topics covered in NCERT Class 6 Maths Chapter 4 are provided below:

- 4.1 Introduction,
- 4.2 Points,
- 4.3 A Line Segment,
- 4.4 A Line,
- 4.5 Intersecting Line,
- 4.6 Parallel Lines,
- 4.7 Ray
- 4.8 Curves,
- 4.9 Polygons,
- 4.10 Angles,
- 4.11 Triangles,
- 4.12 Quadrilaterals,
- 4.13 Circles

**NCERT Solutions for Class 6 Maths Chapter 5 PDF**: Students will learn about Elementary Shapes in this chapter. Usually, shapes are formed using curves or lines. So, learning about corners, edges, open curves, planes, and closed curves is important.

You will also learn about line segments, angles, triangles, polygons, and circles. The topics covered in NCERT Class 6 Maths Chapter 5 are mentioned below:

- 5.1 Introduction,
- 5.2 Measuring Line Segments,
- 5.3 Angles Right and ‘Straight’,
- 5.4 Angles Acute Obtuse and Reflex,
- 5.5 Measuring Angles,
- 5.6 Perpendicular Lines,
- 5.7 Classifications of Triangles,
- 5.8 Quadrilaterals,
- 5.9 Polygons,
- 5.10 Three Dimensional Shapes

**NCERT Solutions for Class 6 Maths Chapter 6 PDF**: Integers are numbers containing whole numbers and their opposites. An integer is a whole number that can be positive, negative, or zero.

Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Here, in this chapter, students will be learning the representation of integers, addition, and subtraction of integers with the help of a number line. The topics covered in NCERT Class 6 Maths Chapter 6 are given below:

- 6.1 Introduction
- 6.2 Integers
- 6.2.1 Representation of Integers on a number line,
- 6.2.2 Ordering of Integers,

- 6.3 Addition of Integers,
- 6.3.1 Addition of Integers on a number line,

- 6.4 Subtraction of Integers

**NCERT Solutions for Class 6 Maths Chapter 7 PDF**: A fraction represents a part of a whole. A fraction is said to be in the simplest form if its numerator and denominator have no common factor except 1.

This chapter deals with the concept of Fractions and different **types of fractions** – Proper Fractions, Improper Fractions, Mixed Fractions, Like Fractions, Unlike Fractions, and Equivalent Fractions.

The topics covered in NCERT Class 6 Maths Chapter 7 are listed below:

- 7.1 Introduction
- 7.2 A Fraction
- 7.3 Fraction on the Number Line
- 7.4 Proper Fractions
- 7.5 Improper and Mixed Fractions
- 7.6 Equivalent Fractions
- 7.7 Simplest Form of a Fraction
- 7.8 Like Fractions
- 7.9 Comparing Fractions
- 7.10 Addition and Subtraction of Fractions

**NCERT Solutions for Class 6 Maths Chapter 8 PDF**: A decimal number expressed in the scale of tens. A decimal is a fraction written in a special form.

Instead of writing 1/2, for example, you can express the fraction as the decimal 0.5, where the zero is in the one’s place, and the five is in the tenth’s place.

A point (small dot) is used to separate the whole number from the fractional part of a number. The topics covered in NCERT Class 6 Maths Chapter 8 are listed below:

- 8.1 Introduction
- 8.2 Tenths
- 8.3 Hundredths
- 8.4 Comparing Decimals
- 8.5 Using Decimals
- 8.6 Addition of Numbers with Decimals
- 8.7 Subtraction of Decimals

**NCERT Solutions for Class 6 Maths Chapter 9 PDF**: Data is collected to give some information. For example, in a Mathematics test, the marks obtained by 40 students are given.

Find how many students obtained marks equal to or more than 7? This is where Data Handling will come in handy. Students can practice numerous questions related to Data Handling in this chapter.

The topics included in NCERT Class 6 Maths Chapter 9 are listed below:

- 9.1 Introduction
- 9.2 – Recording Data
- 9.3 – Organisation of Data
- 9.4 – Pictograph
- 9.5 – Interpretation of a Pictograph
- 9.6 – Drawing a Pictograph
- 9.7 – A Bar Graph
- 9.7.1 – Interpretation of a bar graph
- 9.7.2 – Drawing a bar graph.

**NCERT Solutions for Class 6 Maths Chapter 10 PDF**: In this chapter, students will be learning about the measurement of the perimeter, the perimeter of a rectangle, perimeter of regular shapes, introduction to the measurement of area, area of a rectangle, and area of a square.

Some of these major concepts deal with problems related to finding the perimeter of various shapes, such as; ‘L’ shapes, Parallelograms, Pentagons, and other geometric shapes.

The topics covered in NCERT Class 6 Maths Chapter 10 are listed below:

- 10.1 Introduction
- 10.2 Perimeter
- Perimeter of a rectangle
- Perimeter of regular shapes

- 10.3 Area
- Area of a rectangle
- Area of a square

**NCERT Solutions for Class 6 Maths Chapter 11 PDF**: The purpose of Algebra is to make it easy to state a mathematical relationship and its equation by using letters of the alphabet or other symbols to represent entities.

Algebra allows you to substitute values to solve the equations for unknown quantities. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

The topics covered in NCERT Class 6 Maths Chapter 11 are mentioned below:

- 11.1 Introduction
- 11.2 Matchstick Patterns
- 11.3 The Idea of a Variable
- 11.4 More Matchstick Patterns
- 11.5 More Examples of Variables
- 11.6 Use of Variables in Common Rules
- 11.7 Expressions with Variables
- 11.8 Using Expressions Practically
- 11.9 What is an Equation?
- 11.10 Solution of an Equation

**NCERT Solutions for Class 6 Maths Chapter 12 PDF**: A proportion refers to two equal ratios. It can be written in two ways: two equal fractions, a/b = c/d; or using a colon, a:b = c:d.

To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

In this chapter, we have covered important concepts related to Ratio and Proportion for Class 6 Maths. The topics covered in NCERT Class 6 Maths Chapter 12 are provided below:

- 12.1 Introduction
- 12.2 Ratio
- 12.3 Proportion
- 12.4 Unitary Method

**NCERT Solutions for Class 6 Maths Chapter 13 PDF**: This chapter, Symmetry, deals with determining symmetrical objects and operations based on symmetry. Symmetry is a common term used in our day-to-day life.

For example, figures which have evenly balanced proportions are called “symmetrical”. Students will be able to solve the problems by practicing the questions from this chapter.

The topics included in NCERT Class 6 Maths Chapter 13 are provided below:

- 13.1 Introduction
- 13.2 Making Symmetric Figures: Ink-blot Devils
- 13.3 Figures with Two Lines of Symmetry
- 13.4 Figures with Multiple (more than two) Lines of Symmetry
- 13.5 Reflection and Symmetry

**NCERT Solutions for Class 6 Maths Chapter 14 PDF**: Practical Geometry covers all the fundamentals of drawing various geometrical shapes. Some of the Mathematical instruments used to construct shapes are Graduated Ruler, Compasses, Divider, Set-Square, and a Protractor.

In addition, this chapter will learn the step-by-step procedure to construct an angle, a bisector, and a line segment. The topics included in NCERT Class 6 Maths Chapter 14 are provided below:

- 14.1 Introduction
- 14.2 The Circle
- 14.2.1 Construction of a circle when its radius is known

- 14.3 A Line Segment
- 14.3.1 Construction of a line segment of a given length
- 14.3.2 Constructing a copy of a given line segment

- 14.4 Perpendiculars
- 14.4.1 Perpendicular to a line through a point on it
- 14.4.2 Perpendicular to a line through a point not on it
- 14.4.3 The perpendicular bisector of a line segment

- 14.5 Angles
- 14.5.1 Constructing an angle of a given measure
- 14.5.2 Constructing a copy of an angle of an unknown measure
- 14.5.3 Bisector of an angle
- 14.5.4 Angles of special measures

Students need to have a good understanding of Maths to score well in the exam. Therefore, we get you some pros and benefits of referring to Embibe’s NCERT Solutions for 6th Maths to keep you motivated and aim for a higher score:

- NCERT Solutions for 6th Maths comprise problems with solutions that ultimately help you understand the related concepts.
- The Class 6 Maths NCERT Solutions will help you learn various tips and tricks to solve questions.
- Most importantly, the NCERT Class 6 Math solutions are prepared by academicians and top faculties at Embibe and follow the CBSE guidelines.
- The NCERT solutions will help in quick revision before the exam.
- You will be able to finish your assignments on time with the help of these solutions.

**Ans: **The NCERT Mathematics textbook is recommended by CBSE and many other boards for Class 6 Maths. The Mathematics textbook for Class 6 by R.S. Aggarwal is one of the best reference books. It provides important questions with solutions and examples.

**Ans:*** *Yes, Embibe offers Class 6 Maths NCERT Solutions for free.

**Ans:** Concentrate on your class, revise whatever you are taught on a day-to-day basis, and make the best use of the given NCERT Solutions.

**Ans:*** *Practicing is the only way to improve and score higher in Class 6 Maths. Keep practicing and refer to the NCERT Solutions for Class 6 Maths when needed.

**Ans:*** *Top teachers and academicians prepare these NCERT Solutions at Embibe.