NCERT Solutions for Class 6 Maths

NCERT - Mathematics

NCERT Solutions for Class 6 Maths are designed to make your preparation for CBSE Class 6 Mathematics exam much easier. The difficulty level of class 6 Maths book is high as compared to class 5th. When you get promoted to class 6, you find the level of NCERT class 6 Maths is more difficult than the previous classes. There are difficult questions and deep concepts which takes a lot of time and practice to learn. Here NCERT CBSE class 6 Maths solutions come into play.

We have listed below the chapter-wise solutions to the NCERT Maths class 6 questions. You will get the solutions of NCERT class 6 Maths textbook questions as per the official syllabus. Check out all the chapterwise NCERT solutions of CBSE Class 6th Mathematics book-

NCERT Solutions for Class 6 Maths - All Chapters

More books in your class
Class 6th

NCERT Solutions for Class 6 Mathematics have been prepared by our experts based on the latest syllabus released by CBSE. Our skilled experts have tried to explain every concept in the simplest way possible. Our NCERT solutions also comprise all the answers to the questions asked in the Maths textbook of Class 6.

At Goprep, we aim to provide students an easy and structured learning. Our NCERT Solutions for Class 6 is the right approach to start your exam preparations. You will not only find the solutions to all the textbook questions in this NCERT class 6 textbook, but our subject experts have also tried to explain every concept easily.

NCERT Class 6 Maths Solutions (Chapter-Wise Description)

Chapter 1: Knowing Our Numbers

Chapter 1- Knowing Our Numbers is a basic introduction to the number system. With the help of this chapter, you will get to understand the meaning of the words like thousand, lakhs, millions etc. Further, you will also learn how to write big denominations of numbers. 

With this chapter, you will be able to learn the Indian system and International system of counting. Also, know the correct usage of commas in writing large numbers. 

In order to carry out operation having more than one number, learning the use of brackets is essential. 

With an ample amount of exercises, examples and try these types of questions, you will be able to clear your concepts smoothly and get a chance of solving a variety of questions. 


  • Comparing Numbers
  • Large Numbers in Practice
  • Using Brackets
  • Roman Numerals

Important Conversions

  • One Thousand= 10 Hundreds
  • One Lakh= 100 Thousands

Chapter 2: Whole Numbers

The concept of this chapter introduces you with natural numbers, whole numbers, non-decimal numbers etc. Remember, the numbers which we use for counting are termed as Natural Numbers. 

By reading this chapter, you will get to know that all natural numbers are whole numbers but you cannot say all the whole numbers as natural numbers. Further, you will also be made to understand the concept of predecessors and successors in the number system. 

After completing this chapter, you will also get to know that zero is the number which is divided with any number will not give results. Learn the different properties of whole numbers like commutativity, distributivity and associativity as these are useful in simplifying calculations. 

Another topic which is covered in this chapter is the patterns with numbers. Pattern with numbers is essential for verbal calculations and will help you to understand the properties of numbers in a better way. 


  • Whole Numbers
  • Number Lines 
  • Properties of Whole Numbers
  • Pattern in Whole Numbers


Chapter 3: Playing With Numbers

The NCERT Class 6th Maths Chapter 3 discusses multiples, divisors, and factors. You will find out that if two certain numbers are divided by any number, then you will find that their sum and difference is divisible by that same number. 

After completing this chapter, you will be able to find out whether a number is divisible by small numbers just by looking at the number. Further, this chapter explores the relationship between digits of the numbers and their divisibility by other numbers. 

Apart from this, you will understand the definitions of composite and prime numbers. Also, you are required to know 1 is the only number that does not belong to prime and composite numbers category. To get the concepts of the topics, practice and solve all the questions, exercises and examples given in the chapter. 


  • Factors and Multiples
  • Prime and Composite Numbers
  • Tests for Divisibility of Numbers
  • Common Factors and Common Multiples
  • Prime Factorisation
  • Highest and Lowest Common Factors

Chapter 4: Basic Geometrical Ideas 

Chapter 4 of NCERT Class 6th Maths is all about a point, a line, ray, line segments etc. You will get to know the concepts of a point, which determined the location and denoted by a capital letter. 

Further, this chapter clears the concepts of intersecting lines, closed curve, open curve, triangle- three-sided polygon, and more. Later, you will gain knowledge about quadrilateral (four-sided polygons), circumference, the chord of a circle, the diameter of a circle, the segment of a circle, and semi-circles. 

Having a good amount of questions to attempt from NCERT Maths Class 6th Solutions, scoring marks will become easy and quick for you. 


  • Points
  • A Line Segment
  • A Line
  • Intersecting Lines
  • Parallel Lines
  • Ray
  • Curves
  • Polygons
  • Angles & Triangles
  • Quadrilaterals
  • Circles

Chapter 5: Understanding Elementary Shapes

In this chapter of Elementary Shapes, you will discover the different kinds of angles such as acute, obtuse and reflex. Further, you should understand that a ruler and divider are helpful to compare lengths of line segments. 

Three-dimensional shapes such as cubes, cuboids, cones, spheres, prisms, pyramids, and cylinders which we see everytime around us are discussed in this chapter briefly. Types of triangles are explained, covering equilateral, isosceles, and scalene.

To make your concepts solid, you can solve questions, and examples which are given in-between the chapter. 


  • Measuring Line Segments
  • Angles- Right & Straight
  • Angles- Acute, Reflex & Obtuse
  • Measuring Angles
  • Perpendicular Lines
  • Classification of Triangles
  • Polygons


Chapter 6: Integers

The concepts of Integers is to conceptualize the numbers and the positions of the numbers. Being an important chapter in class 6th, it enables you to have a vision about which number lies where and the value of each number. 

For solving questions quickly, you need to understand that there are two kinds of integers- positive and negative. Proceeding further, you will study the effect of addition and subtraction on the integers. 

In this chapter, you will find a wide-range of questions to attempt covering all the major subtopics of the chapter. The solving of questions will surely help you in clearing the concepts in an efficient way. 


  • Ordering of Integers
  • Addition of Integers
  • Subtraction of Integers


Chapter 7: Fractions

The NCERT Class 6th Maths Chapter 7 deals with the concepts of fractions as parts of a whole. Fractions are the number, provided on a number line. Numerator and denominator are the two parts of the fraction. 

Further, the chapter covers the proper fraction in which the numerator is less than the denominator. Also, if the numerator is greater than the denominator, the fraction is called improper fraction. 

In order to get an equivalent fraction, you need to multiply or divide fractions with the same number. Moreover, keep in mind that the simplest form of a fraction is when the numerator and denominator have no common factor. 


  • Fractions
  • Fraction on the Number Line
  • Proper Fractions
  • Improper and Mixed Fractions
  • Equivalent Fractions
  • Simplest Form of Fraction
  • Comparing Fractions
  • Addition & Subtraction of Fractions

Chapter 8: Decimals 

In chapter 8, you will get to clear your basic concept of point and decimals and also the relationship between decimals and fractions. Moving forward, you will understand that all the decimals can be represented on a number line. 

As you know, decimals are used in many ways in our day to day life. Thus, understanding the base of the topic is very much essential for you. You can write every decimal into a fraction form and a fraction into a decimal number. 

Solve questions and numerous examples to get a good grip on the topics. You can also consider NCERT Class 6 Maths Solutions for cross-checking the answers of the questions. 


  • Tenths
  • Hundredths
  • Comparing Decimals
  • Using Decimals
  • Addition & Subtraction of Numbers With Decimals

Chapter 9: Data Handling

The NCERT Class 6th Maths Chapter 9 Data Handling help you to understand the different methods of recording and organising of data. The tally marking is an important and commonly used method for gathering the data and counting the same. 

Next topic discussed in this chapter is the pictograph. A pictograph provides the actual data of the question through pictures. Answering the questions with the help of pictograph is easy and quick. You will also be taught how to draw a pictograph of the data given to you. 

Bar Diagram or bar graph is another method of transforming the raw data into visually understandable data. This chapter covers interpretation and drawing of a bar graph. To score good marks in this chapter, you should practice several examples given in the Maths textbook of Class 6. 


  • Recording Data
  • Organisation of Data
  • Pictograph
  • Interpretation of a Pictograph
  • Drawing a Pictograph
  • A Bar Graph


Chapter 10: Mensuration 

This chapter teaches you the major concepts of perimeter and area of rectangles and squares by using different methods and formulas. Perimeter is the total distance covered by an object along the boundary. Area, on the other hand, helps you calculate the amount of surface of a figure or diagram. 

Further, this chapter demands mugging up of important formulae to calculate the area and perimeter of any figure. After completing this chapter, you will be required to practice a right amount of questions. 


  • Perimeter
  • Area

Important Formulas

  • Perimeter of a rectangle= 2 ✖ ( length + breadth)
  • Perimeter of a square= 4 ✖ length of its side
  • Perimeter of an equilateral triangle= 3 ✖ length of a side
  • Area of a rectangle= length ✖ breadth
  • Area of a square= side ✖ side

Chapter 11: Algebra

So far, we have learnt numbers and shapes, now let’s discuss another branch of mathematics, which is algebra. In this branch, the use of letters helps us to write rules and formulas. This branch of maths also helps you in solving the problems. 

With the help of simple matchstick formula, calculating the numbers will become easy for you. Further, you will learn the simple use of variables. The value of the variable is not fixed and it can take the value of any number. 

This chapter also helps you in understanding what equation is and how to form one. Any equation is like a condition on a variable. The solution to the equation is the satisfaction of the value of a variable in an equation. 

Take the help of NCERT Solutions for Class 6 Maths for solving the questions of chapter Algebra. 


  • Matchstick Patterns
  • The Idea of a Variable
  • Uses of Variables 
  • Using Expressions Practically
  • Equation


Chapter 12: Ratio & Proportion

The chapter lets you compare the price of two things in the form of division,i.e. in ratio. The ratio is denoted using the symbol, “:”. But for this, you need to keep in mind that two quantities can be compared if they have the same unit. 

Proportion is considered when two ratios are equal. Another concept which is discussed in this chapter is the unitary method. Under this, you have to find out the value of one unit and after that exact value of the required number of units. 

You will find numerous questions to attempt in the NCERT Class 6 Maths chapter 12. By practising all these questions, your concepts will become more clear. 


  • Ratio
  • Proportion
  • Unitary Method


Chapter 13: Symmetry

After understanding the different shapes and figures, proceed with the next topic, in which figures in balanced proportions are called symmetrical. A line of symmetry is also discussed in this chapter. 

Dividing the figure into the same proportion and equal, identical parts is termed as a line of symmetry. Further, a line of symmetry is divided into four different types, which are no line, only one line, two lines or multiple lines. 

Mirror reflection or line of symmetry is closely related to each other. You just need to keep in mind the direction of the image. Moreover, there are different patterns, you will see in this chapter of reflection and symmetry. 

To better understand this chapter, consider NCERT Solutions for Class 6 Maths. You can even cross-check the answers provided in this chapter by using the NCERT solutions. 


  • Making Symmetric Figures
  • Two Lines of Symmetry
  • Multiple Lines of Symmetry
  • Reflection and Symmetry 


Chapter 14: Practical Geometry 

In previous chapters of NCERT Class 6 Maths, you have studied different shapes and figures. In this chapter, you will learn how to draw shapes by using some tools. The types of tool, which you will be required are- compass, divider, protector, ruler and set-squares.

You will learn how to draw a circle if the radius of the circle is given to you. Know how to draw a line segment by using its length only. Learn how to draw a perpendicular to a line, an angle of a given measure, and more. 

Also, this chapter discusses the important angles of special measures and the right way of drawing the angles. After completing the learning part, proceed with solving exercise questions and examples which are provided in this chapter. 


  • The Circles
  • A Line Segment
  • Perpendiculars
  • Angles

Benefits of Using NCERT Solution for Class 6 Maths

At Goprep, you will find the best NCERT Solutions, which is compiled by our experts having immense experience of the subject. The solutions are given for all the chapters in accordance with the latest syllabus released by the National Council of Educational Research and Training (NCERT). You can read the major advantages of adding NCERT solutions to your preparation strategy.

  • Well researched solutions
  • Prepared by subject experts
  • Easy to understand
  • Simple concepts and explanation
  • Free of cost
  • Efficient preparation strategy
  • Based on the latest syllabus
  • Covers all chapters

Final Words

NCERT solutions for class 6 maths is as important as the other factors to prepare for the subject. It is very important for every student to understand and learn the concepts of the main textbook. NCERT solutions not only provide the solutions to all the question of NCERT textbooks but also explains the concepts and formulas in an easy manner. The solutions will give you a better understanding of the chapter and the problem. Apart from regular practice and previous year papers, if you add NCERT solutions for 6th class maths to your study plan, you will definitely get the success.


Frequently Asked Questions

  • How to score full marks in CBSE Class 6 Maths?

    When you enter in Class 6, you are introduced to various new concepts in Maths such as Integers (collection of zero, positive number and negative numbers), Algebra, Ratio and Proportion, etc. Solve all the questions given in the exercises and go through the examples as well. This will provide you enough confidence to solve word problems that have changed values. Develop a habit of practicing questions on a daily basis and find your areas of improvement.

  • What is the syllabus of Class 6 CBSE Maths?

    Class 6 Maths NCERT book consists of 14 chapters, which are as follows.

    • Chapter 1: Knowing Our Numbers
    • Chapter 2: Whole Numbers
    • Chapter 3: Playing with Numbers
    • Chapter 4: Basic Geometric Shapes
    • 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 & Proportion
    • Chapter 13: Symmetry
    • Chapter 14: Practical Geometry
  • What is the use of ‘NCERT Solutions’?

    NCERT Solutions cover and explain the textbook questions and their answers. Through Goprep NCERT Solutions, you get an easy explanation of all the complex concepts and formulas. Not just this, our experts have also provided step by step solutions to all the questions asked in the CBSE Class 6 Maths textbook.

  • Will these NCERT Solutions cover all the questions asked in the NCERT Maths Textbook?

    Yes, we have covered all the questions and provided solutions as simple as we can. The solutions given are easy and given in step by step format. You can easily count on Goprep NCERT solutions for the CBSE exam preparation for Maths.

  • Can I prepare for CBSE exam with the help of NCERT Solutions?

    Yes, you can easily prepare well for the CBSE Class 6 Maths exam. We have covered all the chapters and provided their solutions in the best-structured format. We’re sure you will not get stuck at any step. Additionally, we have also explained formulas and concepts to make your base strong.

  • Can I add NCERT Maths Solutions to my Preparation Strategy?

    It is wise to add and rely on NCERT textbook solutions rather than adding extra books which consist of complex and out of syllabus topics. As per our subject experts, it is important to understand the concept of NCERT textbook first before you jump into additional books. Thus, it is safe to add NCERT solutions to your preparation strategy to crack the CBSE Class 6 Maths exam with an outstanding performance.