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Class 6 Maths

Class 6 math ensures to strengthen and build the reasoning skills and the basic concepts of students. Class 6 is the upper primary stage where students begin to understand and apply the mathematical language of symbols and equations. It focuses on implementing a profound knowledge for working with advanced concepts by learning various methods, formulas, and theorems. Therefore, it is necessary for students to have a detailed understanding of each topic covered in the class 6 maths syllabus.

NCERT Solutions for Class 6 Maths PDF Download

NCERT solutions for class 6 maths comprise a detailed explanation of all the textbook questions available in the NCERT mathematics class 6 coursebook. As they provide a stepwise analysis of all problems, these solutions are the best cross-reference material. Kids can check their answers as well as get an idea of the correct way to write the solutions to questions. The NCERT solutions for class 6 maths are prepared by experts in the field of mathematics. They have spent a great amount of time researching the most precise and optimized method to reach the final result. 
The NCERT solutions for class 6 maths have several study tips and tricks that help to streamline the learning process. They also use illustrative examples, graphs, and real-life problems that help kids relate to the topics in a better manner. The well-structured and precise solutions to all the NCERT chapters can be accessed via the links given below:

Class 6 Maths NCERT Solutions Chapter 1 to 14 (PDFs) 

NCERT Solutions for Class 6 Maths: Syllabus 

The NCERT class 6 maths syllabus comprises topics related to numbers, addition, subtraction, and more. A detailed list of these topics is given below.

Download NCERT Solutions of Class 6 Maths Chapter-wise PDF
NCERT Solutions Class 6 Maths Chapter 1 Knowing Our Numbers
NCERT Solutions Class 6 Maths Chapter 2 Whole Numbers
NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers
NCERT Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas
NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes
NCERT Solutions Class 6 Maths Chapter 6 Integers
NCERT Solutions Class 6 Maths Chapter 7 Fractions
NCERT Solutions Class 6 Maths Chapter 8 Decimals
NCERT Solutions Class 6 Maths Chapter 9 Data Handling
NCERT Solutions Class 6 Maths Chapter 10 Mensuration
NCERT Solutions Class 6 Maths Chapter 11 Algebra
NCERT Solutions Class 6 Maths Chapter 12 Ratio and Proportion

The topics included in the class 6 chapters have concepts that lay the groundwork for higher-order lessons. If children are not familiar and well-versed with these it could prove to be problematic as they reach further grades. Thus, to avoid superfluous understanding children should periodically visit the links given above to revise the chapters thoroughly. To effectively prepare for exams the NCERT class 6 maths book is given below:

>> Download Class 6 Maths NCERT Book

NCERT Solutions Class 6 Maths Chapter 1 - Knowing Our Numbers

  • Number comparison
  • Place value notation
  • Usage of commas and brackets in numbers
  • Arithmetic operations on numbers
  • Estimation by round off
  • Roman numerals

NCERT Solutions Class 6 Maths Chapter 1: Exercise

 

NCERT Solutions Class 6 Maths Chapter 2: Whole Numbers

  • Predecessor and successor
  • The number line
  • Properties of whole numbers
  • Patterns in whole numbers

NCERT Solutions Class 6 Maths Chapter 2: Important Formulas

  • Associative Property for addition: (a + b) + c = a + (b + c)
  • Associative Property for multiplication: (a * b) * c = a * (b * c)
  • Commutative Property for addition: a + b = b + a
  • Commutative Property for multiplication: a * b = b * a

NCERT Solutions Class 6 Maths Chapter 2: Exercise

 

NCERT Solutions Class 6 Maths Chapter 3: Playing with Numbers

  • Factors and multiples
  • Prime numbers and Composite numbers
  • Test for divisibility of numbers
  • Common factors and common multiples
  • Prime factorization
  • Highest Common Factor (HCF)
  • Lowest Common Multiple (LCM)

NCERT Solutions Class 6 Maths Chapter 3: Important Formulas

  • Divisibility by 2: A number is divisible by 2 if it has any of the digits 0, 2, 4, 6, or 8 in its one’s place.
  • Divisibility by 3: If the sum of the digits is a multiple of 3, then the number is divisible by 3.
  • Divisibility by 4: A number with 3 or more digits is divisible by 4 if the number formed by its last two digits (i.e. ones and tens) is divisible by 4.
  • Divisibility by 5: A number that has either 0 or 5 in its one’s place is divisible by 5.

NCERT Solutions Class 6 Maths Chapter 3: Exercise

 

NCERT Solutions Class 6 Maths Chapter 4: Basic Geometrical Ideas

  • Points
  • Line segment
  • Line
  • Intersecting lines
  • Parallel lines
  • Curves
  • Polygons
  • Angles
  • Triangles
  • Quadrilaterals
  • Circles 

NCERT Solutions Class 6 Maths Chapter 4: Exercise

 

NCERT Solutions Class 6 Maths Chapter 5: Understanding Elementary Shapes

  • Measuring line segments
  • Angles - right angle and straight angle
  • Angles - acute angle, obtuse angle, reflex angle
  • Measuring angles
  • Perpendicular lines
  • Classification of triangles
  • Quadrilaterals
  • Polygons
  • Three-dimensional shapes (3D shapes)

NCERT Solutions Class 6 Maths Chapter 5: Exercise

 

NCERT Solutions Class 6 Maths Chapter 6 - Integers 

  • Tag with a sign
  • Integers
  • Representation of integers on a number line
  • Ordering of Integers
  • Addition of integers
  • Addition of integers on a number line
  • Subtraction of Integers with the help of a number line 

NCERT Solutions Class 6 Maths Chapter 6 Important Formulas

  • When two positive integers are added, we get a positive integer.
  • When two negative integers are added, we get a negative integer.
  • When one positive and one negative integer are added we subtract them as whole numbers by considering the numbers without their sign and then put the sign of the bigger number with the subtraction obtained

NCERT Solutions Class 6 Maths Chapter 6 Exercises

 

NCERT Solutions Class 6 Maths Chapter 7 - Fractions

  • Fractions
  • Fraction on a number line
  • Proper fractions
  • Improper fractions, mixed fractions
  • Equivalent fractions
  • Simplest form of a fraction
  • Like fractions
  • Comparing fractions, comparing like fractions, comparing unlike fractions
  • Addition of fractions, subtraction of fractions

NCERT Solutions Class 6 Maths Chapter 7 Exercises

 

NCERT Solutions Class 6 Maths Chapter 8 - Decimals

  • Tenths
  • Hundredths
  • Comparing decimals
  • Using decimals in money, length, weight
  • Addition of numbers with decimals
  • Subtraction of decimals 

NCERT Solutions Class 6 Maths Chapter 8 Exercises

 

NCERT Solutions Class 6 Maths Chapter 9 - Data Handling

  • Recording data
  • Organization of data
  • Pictograph
  • Interpretation of a pictograph
  • Drawing a pictograph
  • A bar graph
  • Interpretation of a bar graph
  • Drawing a bar graph 

NCERT Solutions Class 6 Maths Chapter 9: Exercise

 

NCERT Solutions Class 6 Maths Chapter 10 - Mensuration

  • Introduction to the concept of Perimeter
  • Perimeter for a rectangle
  • Perimeter of regular shapes, perimeter of a square
  • Introduction to the concept of area
  • Area of a rectangle
  • Area of a square

NCERT Solutions Class 6 Maths Chapter 10 Important Formulas

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

NCERT Solutions Class 6 Maths Chapter 10 Exercises

 

NCERT Solutions Class 6 Maths Chapter 11 - Algebra

  • Introduction to algebra
  • Matchstick patterns
  • The idea of a variable
  • Use of variables in common rules, rules from geometry, rules from arithmetic
  • Expressions with variables
  • Using expressions practically
  • Equations
  • Solution of an equation

NCERT Solutions Class 6 Maths Chapter 11 Exercises

 

NCERT Solutions Class 6 Maths Chapter 12 - Ratio and Proportion

  • Understanding the concept of ratios
  • Proportion as equality of two ratios
  • Unitary method 

NCERT Solutions Class 6 Maths Chapter 12 Exercises

 

Important Formulas in NCERT Solutions Class 6 Maths

Class 6 maths covers many important formulas and procedures that are vital to attempting questions. Formulas can be seen as tools that help simplify the process of solving an otherwise complicated sum. It is advised for children to keep formula charts with handwritten notes to help them understand the underlying concepts as well as memorize the formulas quickly. Additionally, it is recommended that kids apply these formulas to problems with a gradually increasing level of difficulty to get the most of these lessons. A few of the formulas used in the NCERT solutions for class 6 maths are given below:

Mensuration

  • Area of a square = (side)2
  • Perimeter of a square = 4 * side
  • Area of a triangle = ½ * base * height
  • Perimeter of a triangle = sum of all sides

Algebra

  • General form of a quadratic equation: ax2 + bx + c = 0

Number System

  • √(ab) = √(a)√(b)
  • [√(a) + √(b)][√(a) - √(b)] = a - b
  • Associative property: p + (q + r) = (p + q) + r
  • Commutative property: p + q = q + p

Importance of NCERT Solutions Class 6 Maths

Class 6 Maths NCERT Solutions are of great importance for CBSE students as they give them an organized way to prepare for any exam. Given below are the benefits of using these comprehensive sources for learning.

  • Time Management - These NCERT Class 6 Maths Solutions set a good pace for students so that they not only complete all chapters well within the given time limit but also have enough buffer to revise each lesson. During exams, they are very useful as these solutions give a bird’s eye view of all the topics so that kids can glance through them and recall concepts quickly.
  • Attempting Exams - If the test papers are attempted in a step-wise manner with proper explanations given for each computation performed it enables kids to get the best possible score. Thus, by using the NCERT Class 6 Maths Solutions students get an idea of how to efficiently present their answers in an examination to maximize the scope of getting good marks.
  • Understanding Concepts - The NCERT Class 6 Maths Solutions have been written in a way to convey tough concepts in the easiest way. Thus, irrespective of the difficulty all kids can quickly understand all topics and apply them to problems effectively.

FAQs on NCERT Solutions for Class 6 Maths

Do I Need to Practice all Questions Provided in NCERT Solutions Class 6 Maths?

Each question in the NCERT solutions for class six maths has been designed to give an insight into a different aspect of the topic at hand. If kids practice each sum, they will be sure to get a holistic understanding of the chapter rather than only having superficial knowledge. Thus, children should revise all problems and give special attention to topics they find tough.

Do I Need to Make Notes while Referring to NCERT Solutions Class 6 Maths?

If kids take down notes while going through the NCERT Solutions Class 6 Maths then they have simplified pointers that act as guidelines while revising that topic. Thus, it is imperative for students to make their own handwritten notes while studying these solutions as it helps them to recall concepts within a fraction of a second as well as improves their understanding of that section.

How are NCERT Solutions Class 6 Maths Promoting Problem Solving in Students?

The NCERT Solutions Class 6 Maths takes the step-by-step approach to solving questions. These solutions first break the big problem into simpler and more manageable chunks then proceed to solve each part with logical explanations. This method encourages students to inculcate the same techniques to solving any question thus instilling them with a problem-solving mindset.

What are the Best Ways to Learn Concepts Covered in NCERT Solutions Class 6th Maths?

To learn the concepts covered in the NCERT Solutions Class 6th Maths kids first need to go through the complete theory before each exercise. The next step is to memorize all the associated formulas. Children then need to attempt the solved examples and move on to the exercise questions. Finally, they should consult the NCERT solutions to cross-check their answers and get an idea of the procedures used to solve these sums.

Where Can I Get Chapter-wise NCERT Solutions for Class 6 Maths?

Students can access the chapter-wise pdfs of the NCERT Solutions for Class 6 Maths via the links mentioned in this article. Each exercise question has been explained in a simplified language. They also provide several study cues that can help kids understand and practice the sums more efficiently.

Can We Use Different Methods to Solve Problems Apart From Those Mentioned in NCERT Solutions Class 6 Maths?

The beauty of mathematics lies in the flexibility of solving problems using different and creative methods. Kids are encouraged to use techniques apart from those mentioned in the NCERT Solutions Class 6 Maths to solve problems however, they should be universally accepted. Additionally, when appearing for exams students should make sure to explain all the steps in a detailed manner with the required logic in order to get a good score.

Why Should I Practice NCERT Solutions Class 6 Maths Regularly?

Practice ensures perfection. The topics in the NCERT Solutions Class 6 Maths make their way in higher classes as well. If students can build a flawless foundational base they will not only excel in the grade 6 exams but will also be prepared to assimilate more complicated topics that are yet to come. Thus, it is necessary to practice each and every question at least twice so as to build a robust understanding of all chapters.

Which is the hardest chapter in class 6 maths?

In class six mathematics, there is no chapter that is difficult. However, there are a few topics that are introduced in this class which need a little more time and attention. For example, algebra, geometry, and mensuration are a few new topics that need time, but these can be mastered once the concepts are clear. Proper planning and regular practice of the related questions from different resources also helps because this makes the student think from different perspectives.

How to study mental maths for class 6?

Mental maths for class 6 is similar to physical fitness training. It may seem to be painful and difficult initially, but with regular practice, it always improves and helps. Mental maths improves our memory and can be learnt using the following techniques: 

  • Try to create games related to mental maths along with other students. This helps in making it interesting and it includes some fun elements as well.
  • Set a timer of say, 30 seconds and try to finish the given problem within that time.
  • Try to use tricks like adding many numbers at once. Use the associative property for simplifying problems.
  • Learn the multiplication tables up to 20. This saves a lot of time in calculation.
  • Initially give yourself time, and then reduce the time for each question and then focus on your accuracy.

How can I get full marks in class 6 maths?

Class 6 maths can be excelled with a little bit of effort, sincerity, and consistent practice. Here are a few tips that can help a student score well in 6th-class mathematics:

  • Practice regularly: This is the most important technique which is always effective and assures the best results. Make sure that you give one hour to maths every day.
  • Make a schedule: Planning the topics day-wise or week-wise helps in proper execution. Make a plan and a list that covers all the topics of maths that you need to cover. Allot 2 topics for one week giving 1 hour every day from Monday to Friday and 2 hours on the weekends because that is usually a holiday.
  • Use visuals and figures: Start solving a problem by at least reading it twice and move on to create a picture or any figure that is helpful in understanding the problem. This helps you think analytically.
  • Practice other resources: Try to practice questions related to the topic from different textbooks or online resources. This makes you come across a variety of questions and will build up your confidence.

How to solve word problems for class 6 maths?

Word problems in class 6 maths can be solved using a few tips given below:

  • Read the problem: Read the given problem at least twice to understand what the story is all about.
  • Note and plan: Note the information that is given and the information that is required. Think about the method and the arithmetic operation which needs to be used here.
  • Solve and verify: Solve the problem with a calm mind avoiding any careless mistakes and verify the solution.
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