What Exactly is Math?

Math is the science involving numbers, shapes and patterns which is present in almost everything around us. It helps us to derive analytical solutions to practical problems. It is applied in various fields such as engineering, finance, physical science, etc. It has a great impact in every domain of our life and we can find many mathematics applications around us.

How to Get Better at Math?

Getting better at math requires enforcing a study routine and analyzing mistakes. Students must try to understand and rectify their mistakes through daily practice. Doing so will also help them clear all their doubts. Students with better mathematical abilities achieve higher academic success. Thus, it is crucial to cultivate math interest in children at an early age. Cuemath’s visually-enriched math concepts enhance a child’s interest in mathematics and make it easier to learn the subject.

Why is Math Important in Our Daily Life?

Math is highly important in our daily life as there are several applications of mathematics in real-world situations. Statistics or probability theory are examples of applied maths.

What are the Fundamentals of Mathematics?

Fundamentals of mathematics are the building blocks for a solid math foundation. Students must possess a clear knowledge of all the fundamentals of mathematics to study advanced mathematical concepts. These fundamentals of mathematics are given below. Addition and Subtraction of Whole Numbers Multiplication and Division of Whole Numbers Exponents, Roots, and Factorization of Whole Numbers Introduction to Fractions and Multiplication and Division of Fractions Addition and Subtraction of Fractions, Comparing Fractions, and Complex Fractions Decimals and Fractions Ratios and Rates Techniques of Estimation Measurement and Geometry Signed Numbers Algebraic Expressions and Equations

How many Branches of Mathematics do we Have?

The branches of mathematics can be broadly categorized as: Arithmetic: Arithmetic involves studying numbers and their relationships to solve problems that include the operations of addition, multiplication, subtraction, division, extraction of roots and raise to power. Algebra: Algebra is the symbolic representation of numbers that provides structure to equations. It forms the basis for advanced study in many fields like science, medicine, engineering, etc. Geometry: Geometry is the calculation of various dimensions of solids including height, width, areas, volumes, perimeter and angles. It has many practical applications in architecture and other fields. Trigonometry: trigonometry deals with the study of the relationship between angles, lengths, and heights. The applications of trigonometry can be found in many spheres including architecture, physics, surveying, electronics, satellite navigation, astronomy and engineering.

What are the Most Important Math Topics?

Some of the most important math topics are prime numbers, composite numbers, BODMAS rule, geometry, probability, divisibility rules, HCF, LCM, three-dimensional shapes, basic menstruation, decimal, fractions, ratio and proportion. An in-depth understanding of all important math topics will enable students to score well in exams.

How Math is Used in Sports?

Math is used in sports to accumulate data, study conditions and generate performance statistics which are considered for planning and optimizing the training session. The data collected in these mathematical calculations is also helpful for taking strategic decisions based on the team’s performance.

How Maths is Related to Other Subjects?

Math is related to other subjects, especially chemistry, physics, computer science and engineering. In chemistry, mathematics is used to write and balance equations. In physics. It is applied to calculate mass, velocity and acceleration. In computer science, math is used to build algorithms and solve problems.

NCERT Solutions for Class 6 Maths

NCERT solutions for class 6 maths comprise the detailed explanation of all the textbook questions available in the NCERT 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 class 6 maths are prepared by experts in the field of mathematics. They spend a great amount of time researching the most precise and optimized method to reach the final result. They also present the answers in a vernacular language so that children of all intelligence quotas can easily grasp the descriptions.

Class 6 maths NCERT solutions act as a bridge between primary and secondary school. They help kids recall the concepts learned in lower classes and combine them with certain newer topics that mark the start of middle school. These solutions are useful for grade 6 exams such as units, half yearlies as well as annual tests. Further, they are excellent at preparing for competitive examinations such as Olympiads. CBSE NCERT solutions for class 6 maths ensure that students develop a robust conceptual understanding of basic mathematical topics that will be the foundation for the rest of their school careers.

NCERT Solutions for Class 6 Maths PDF Download

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

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
NCERT Solutions Class 6 Maths Chapter 13 Symmetry
NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry

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

NCERT solutions for class 6 maths knowing our numbers aim to instill a deep-seated understanding of numbers and their behavior under different conditions. Kids are taught how to compare large numbers, form different numbers given certain constraints, as well as write the expansion of digits.

NCERT Solutions Class 6 Maths Chapter 1 Study Tips

NCERT Solutions Class 6 maths chapter 1 is an important topic as it gives kids an idea of how to work with numbers. The following tips can help students learn the concepts in this chapter efficiently:

Constant practice will help to perform calculations with speed and accuracy.
Applying concepts such as roman numerals to real-life situations will help to make these topics relatable and easier to study.

NCERT Solutions Class 6 Maths Chapter 1 Exercises

Class 6 Maths Chapter 1 Knowing Our Numbers

Topics Covered: Class 6 Maths NCERT Solutions covers topics such as number comparison, place value notation, usage of commas and brackets in numbers, arithmetic operations on numbers, estimation by round off, as well as roman numerals.

Total Questions: Class 6 maths chapter 1 knowing our numbers has a pool of 19 problems out of which 12 are easy, 3 are medium level and 4 are tough questions.

NCERT Solutions Class 6 Maths Chapter 2 - Whole Numbers

NCERT solutions for class 6 maths whole numbers start by teaching children the meaning of successors and predecessors. One of the most important concepts that kids will study in this lesson is that of the number line and how to perform arithmetic operations using it. Another major section covered is the properties of 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 Exercises

Class 6 Maths Chapter 2 Whole Numbers

Topics Covered:Adding, subtracting, and multiplying whole numbers using the number line, whole number properties such as closure, commutativity, and associativity, as well as patterns demonstrated by whole numbers are the major topics in the Class 6 Maths NCERT Solutions.

Total Questions: There are a total of 20 sums in the Class 6 maths chapter 2 Whole Numbers out of which 16 are simple, 3 are intermediate and 1 is a difficult problem.

NCERT Solutions Class 6 Maths Chapter 3 - Playing With Numbers

NCERT solutions for class 6 maths playing with numbers present the concepts of factors, multiples, prime and composite numbers, as well as divisibility tests in the form of illustrative games that aid kids in developing an in-depth understanding of these topics while having fun.

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 Exercises

Class 6 Maths Chapter 3 Playing With Numbers

Topics Covered: Class 6 Maths NCERT Solutions encompasses topics such as expressing composite numbers in the form of prime numbers, finding the factors and multiples of numbers, testing if numbers are divisible by 2, 3, 4, 5, 6, 8, 9, 10 and 11 using certain tricks, prime factorization, as well as determining the HCF and LCM of given numbers.

Total Questions: Class 6 maths chapter 3 Playing with Numbers has a pool of 55 exemplar problems out of which 34 are straightforward questions, 12 are moderately difficult and 9 are tough sums.

NCERT Solutions Class 6 Maths Chapter 4 - Basic Geometrical Ideas

NCERT solutions for class 6 maths basic geometrical ideas targets the foundational topics that make up the subject of geometry. Children are introduced to basic shapes such as points, lines, line segments as well as different types of curves and their elements that will be further scrutinized in upcoming classes.

NCERT Solutions Class 6 Maths Chapter 4 Exercises

Class 6 Maths Chapter 4 Basic Geometrical Ideas

Topics Covered: Parallel and intersecting lines, points, line segments, polygons, angles, triangles, quadrilaterals, and circles, fall under the topics of Class 6 Maths NCERT Solutions.

Total Questions: Class 6 maths chapter 4 basic geometrical ideas has 23 sums. These can be further divided into 12 complex, 6 simple, and 5 moderate level questions.

NCERT Solutions Class 6 Maths Chapter 5 - Understanding Elementary Shapes

NCERT solutions for class 6 maths understanding elementary shapes build on the previous chapter and elaborates concepts on line segments, different types of angles as well as how to categorize triangles on the basis of length of sides and angles. Finally, there is a short section on three-dimensional figures.

NCERT Solutions Class 6 Maths Chapter 5 Exercises

Class 6 Maths Chapter 5 Understanding Elementary Shapes

Topics Covered: Class 6 Maths NCERT Solutions elucidates on how to measure line segments, straight, acute, obtuse, reflex and right angles, classification of triangles, types of quadrilaterals, and polygons, as well as determining the faces, edges, and vertices of three-dimensional shapes.

Total Questions: Class 6 maths chapter 5 understanding elementary shapes have 44 questions 18 of which are moderate, 15 are complicated, and 11 easy problems.

NCERT Solutions Class 6 Maths Chapter 5 Summary

NCERT solutions class 6 maths chapter 5 lays the groundwork for geometry by educating children on the basic 2D shapes and their categorizations as well as giving an idea of 3D solid figures and how to work with their associated elements.

NCERT Solutions Class 6 Maths Chapter 6 - Integers

NCERT solutions for class 6 maths integers now shift the focus to numbers with positive and negative signs also known as integers. Using many real-life examples kids are taught how to represent integers on the number line, how to order integers, and use arithmetic operations on them.

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

Class 6 Maths Chapter 6 Integers

Topics Covered: Representing integers on a number line, as well as addition and subtraction of integers using a number line, form the basis of the Class 6 Maths NCERT Solutions

Total Questions: Class 6 maths chapter 6 Integers has 19 problems in total. 10 are simple representation questions, 5 are slightly tougher, and 4 are complicated sums.

NCERT Solutions Class 6 Maths Chapter 7 - Fractions

NCERT solutions for class 6 maths fractions use fun games and real-life examples to convey the various concepts related to fractions. Students have the opportunity to learn about the different categories of fractions and how to manipulate various fractions in order to bring them to a form that can be used in mathematical operations.

NCERT Solutions Class 6 Maths Chapter 7 Exercises

Class 6 Maths Chapter 7 Fractions

Topics Covered: Class 6 Maths NCERT Solutions has topics such as number line representation of fractions, types of fractions such as improper, mixed, like, unlike, equivalent fractions along with the simplification as well as comparison of like and unlike fractions. Furthermore, the addition and subtraction of these fractions are also covered in this lesson.

Total Questions: There are 47 well-researched problems in Class 6 maths chapter 7 Fractions which have been divided into 18 medium level, 19 simple, and 10 higher-order thinking questions.

NCERT Solutions Class 6 Maths Chapter 8 - Decimals

NCERT solutions for class 6 maths decimals introduce this lesson by establishing a relationship between fractions and decimals. This chapter uses several tools such as the number line to help children get a concrete understanding of decimals.

NCERT Solutions Class 6 Maths Chapter 8 Study Tips

In daily-life situations, numbers usually occur in the form of decimals rather than whole or natural numbers. Thus, the NCERT Solutions Class 6 maths chapter 8 is extremely important and kids should be adept at working with decimals. Given below are some study tips that can help with the process:

Develop a good understanding of fractions before moving on to studying this chapter.
Apply the decimal concepts learned to situations that crop up in daily life.

NCERT Solutions Class 6 Maths Chapter 8 Exercises

Class 6 Maths Chapter 8 Decimals

Topics Covered: Class 6 Maths NCERT Solutions uses the place value notations such as tenths, and hundredths to explain converting fractions to decimals. Topics such as comparing decimals, addition, and subtraction of decimals as well as real-life applications also fall under the scope of this lesson.

Total Questions: Class 6 maths chapter 18 decimals has 38 sums. There are 13 easy questions, 12 slightly difficult ones, and 13 tough problems.

NCERT Solutions Class 6 Maths Chapter 9 - Data Handling

NCERT solutions for class 6 maths data handling show how to organize given data into a form that can be used to perform various statistical computations. Representation tools such as pictographs and bar graphs are also elaborated in this chapter.

NCERT Solutions Class 6 Maths Chapter 9 Exercises

Class 6 Maths Chapter 9 Data Handling

Topics Covered: Representing data using pictographs and bar graphs, as well as the interpretation of results, make up the crux of the Class 6 Maths NCERT Solutions.

Total Questions: Class 6 maths chapter 9 data handling has 16 questions. 9 are easy data representation sums, 2 are a little complicated, and 5 are tough problems.

NCERT Solutions Class 6 Maths Chapter 10 - Mensuration

NCERT solutions for class 6 maths mensuration is one of the most important lessons that kids will study. It teaches students about several 2D shapes as well as how to find their perimeter and area. Additionally, these concepts will be heavily used in topics that appear in higher grades.

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

Class 6 Maths Chapter 10 Mensuration

Topics Covered: Determining the perimeter of a rectangle, square, equilateral triangle, as well as finding the area of a square and a rectangle, are the major topics in the Class 6 Maths NCERT Solutions.

Total Questions: Class 6 maths chapter 10 mensuration has a pool of 30 problems of which 15 are simple formula-based sums, 9 are moderately tough and 6 are fairly complex questions.

NCERT Solutions Class 6 Maths Chapter 11 - Algebra

NCERT solutions for class 6 maths algebra is perhaps one of the most widely used topics in industries. It is used to perform several geometric, and arithmetic computations. This chapter introduces kids to the notion of a variable and how to evaluate expressions consisting of a variable.

NCERT Solutions Class 6 Maths Chapter 11 Exercises

Class 6 Maths Chapter 11 Algebra

Topics Covered: Rules for using variables in mensuration as well as their arithmetic properties, understanding expressions with variables, and evaluating simple algebraic equations fall under the scope of the Class 6 Maths NCERT Solutions.

Total Questions: There are 30 well-curated sums in the Class 6 maths chapter 11 algebra which can be further segregated into 18 easy problems, 4 medium and 8 complex questions that require kids to employ their mathematical acumen to solve them effectively.

NCERT Solutions Class 6 Maths Chapter 11 Summary

NCERT solutions class 6 maths chapter 11 shows kids how to express quantities in the form of variables as well as how to use these in the form of a mathematical equation. Students also get an idea of how to solve simple equations by different methods.

NCERT Solutions Class 6 Maths Chapter 12 - Ratio and Proportion

NCERT solutions for class 6 maths ratio and proportion show kids the practical implications of working with ratios and proportions and how to effectively utilize these concepts to solve real-world issues which require the comparison of two quantities.

NCERT Solutions Class 6 Maths Chapter 12 Exercises

Class 6 Maths Chapter 12 Ratio and Proportion

Topics Covered: Class 6 Maths NCERT Solutions has topics that see the use ratios and proportions for comparing two or more quantities as well as evaluating questions using the unitary method.

Total Questions: Class 6 maths chapter 12 Ratio and Proportion has a total of 31 problems. 9 are simple comparison questions, 12 are slightly more difficult and 10 are tough sums that encourage kids to use their cognitive skills.

NCERT Solutions Class 6 Maths Chapter 13 - Symmetry

NCERT solutions for class 6 maths symmetry is a fun lesson that demonstrates this interesting concept using some known shapes such as rectangles, and many real-life composite objects. The chapter also establishes a relationship between symmetry and mirror reflection.

NCERT Solutions Class 6 Maths Chapter 13 Study Tips

NCERT solutions class 6 maths chapter 13 is one of the most enjoyable lessons as it can be easily applied to objects occurring in nature. In order to quickly assimilate this lesson the study tips given below can be very helpful:

Take objects such as a rectangular piece of paper and cut it along the line of symmetry to understand this concept.
Use an actual mirror to develop an ironclad foundation of reflection.

NCERT Solutions Class 6 Maths Chapter 13 Exercises

Class 6 Maths Chapter 13 Symmetry

Topics Covered: Identifying the lines of symmetry of different shapes, completing figures using symmetry, and drawing the reflection of a given object is encompassed in the Class 6 Maths NCERT Solutions.

Total Questions: Class 6 maths chapter 13 Symmetry has 17 problems which are all extremely easy and can be solved within minutes if kids have good visualization skills.

NCERT Solutions Class 6 Maths Chapter 14 - Practical Geometry

NCERT solutions for class 6 maths practical geometry elaborates on the steps used to construct various figures and elements such as circles, line segments, as well as angles given certain constraints. Kids also learn how to use geometric instruments such as a compass and a ruler efficiently.

NCERT Solutions Class 6 Maths Chapter 14 Exercises

Class 6 Maths Chapter 14 Practical Geometry

Topics Covered: Class 6 Maths NCERT Solutions has topics such as the construction of a circle with a known radius, line segment given a particular length as well as making a copy of it. Constructing perpendiculars to a line, perpendicular bisectors, angles of different measures, and their bisectors also fall under this lesson.

Total Questions: Class 6 maths chapter 14 practical Geometry has 33 sums out of which 18 are simple, 7 are moderately complex and 8 difficult problems.

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 Class 6 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.