Download Free Chapterwise NCERT Solutions for Class 6 Maths PDF (2024-25)

Chapterwise NCERT Solutions for Class 6 Maths - Free PDF Download (2024-25)

Edited By Ramraj Saini | Updated on May 22, 2024 06:15 PM IST

NCERT Solutions for Class 6 Maths, updated for the 2024–25 session for all chapters, are available here to read or download in the PDF format. These solutions are curated by subject experts to provide detailed solutions in a step-wise manner to understand underlying concepts. These Maths solutions are in accordance with CBSE syllabus for class 6th maths. Students of Class 6 can check the chapter-wise NCERT Class 6 Maths solutions to prepare for the exams. These NCERT solutions for class 6 were created as per the needs of the students, considering the revised syllabus and pattern. Algebra is a new topic that is introduced in class 6, as well as geometry and data handling. To score good marks in the math exam, NCERT solutions for class 6 will be an ideal tool.

Chapterwise NCERT Solutions for Class 6 Maths - Free PDF Download (2024-25)

With the help of the NCERT solutions for class 6, students can understand the chapters and get instant solutions to the exercise questions. NCERT solutions are necessary for all students as the complete education system has been moved online. NCERT 6th Maths solutions include solutions of chapters on numbers, fractions, decimals, and integers that are mentioned in NCERT Class 6 books.NCERT solutions for class 6 maths will include solved exercises with answers to questions asked in the NCERT textbook. Below is a table containing CBSE Maths Solutions for Class 6. By downloading these solutions chapter-wise, students can get answers to all the questions in the CBSE 6th Class Maths textbook.

Chapter-wise NCERT Solutions for Class 6 Maths

All the chapter numbers with chapter names are listed below to make it easy to navigate.

Chapters No.	Chapters 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

NCERT Solutions for Maths Class 6: Chapter Details

Chapter 1: Knowing The Numbers

In the first chapter, we will deal with the number of systems, some basic operations on numbers, etc. We have learned to work with numbers in our earlier classes. We have added, subtracted, multiplied and divided. In chapter 1 knowing our number, we will move forward on interesting things like patterns in number sequences with a brief review and revision as well. NCERT solutions for class 6, chapter 1, contains 19 questions in 3 exercises. The first exercise has 4 questions and each question contains sub-questions. So total, there are 18 questions in the first exercise. Similarly for other exercises, some sub-questions are also provided in the Class 6 Maths NCERT solutions chapter 1.

Chapter 2, Whole Numbers

In this chapter, students learn about the important topic, which is the whole numbers. We already studied, what are natural numbers? The natural numbers are the collection of numbers 1, 2, 3, 4, 5... and the whole number is the collection of the natural numbers along with zero. The chapter deals with whole numbers and its properties. There are a total of 3 exercises with 20 questions in the Class 6 Maths NCERT solutions chapter 2. Some of the questions have sub-questions as well.

Chapter 3: Playing With Numbers

In this chapter, students will learn to obtain the number of factors and multiples of a given number. NCERT Solutions for Math, class 6, chapter 3 contain 7 exercises with 55 questions. In Class 6 Maths NCERT solutions chapter 3, students will learn about the prime numbers, composite numbers, tests for divisibility of numbers, common factors, common multiples, prime factorisation, some divisibility rules, highest common factor (HCF), lowest common multiple (LCM).

Chapter 4: Basic Geometrical Ideas

In this chapter, we are going to learn some basic geometrical concepts which are very important for math students. Important geometrical concepts covered by this chapter are a point, finding the distance between two points, a line segment, and types of lines (parallel lines and intersecting lines). Class 6 Maths NCERT solutions chapter 4 also discusses some questions which are based on the angle, polygon, regular polygon, triangle, quadrilaterals, circles, radius and centre point of the circle. There are 6 exercises and 23 main questions plus sub-questions in NCERT chapter 4: basic geometrical ideas.

Chapter 5: Understanding Elementary Shapes

All the shapes we see around us are formed by lines and curves. We can see edges, lines, planes, corners, and closed and open curves in our surroundings. In NCERT solutions for maths class 6 chapter 5, understanding elementary shapes, we will try to develop some basic tools to compare sizes of line, line segments, angles, circles, triangles and polygons. All concepts are presented in simple language in the NCERT book in this chapter. There are 45 questions in 9 exercises in the Class 6 Maths NCERT solutions chapter 5. Solving all the questions will give a better idea about what you have studied in the chapter.

Chapter 6: Integers

We already studied natural and whole numbers in the 2nd chapter of this class. Now we are going to discuss integers in this chapter. Integers are the collection of numbers..., -3, - 2, - 1, 0, 1, 2, 3,... is. So, positive numbers ( 1, 2, 3,...) are the positive integers and negative numbers (- 1, - 2, - 3, ... ) are negative integers. In this chapter, there are a total of 19 questions in 3 exercises. Some of the questions Class 6 Maths NCERT solutions chapter 4 integers also have sub-questions. Solving all these questions gives a better idea about the chapter.

Chapter 7: Fractions

We learned about fractions in 4th grade and in 5th grade. We knew that one-half is written as 1/2. In this chapter, we will study fractions with more operations. A fraction is a number which represents part of a whole. The whole may be a single object or a group of objects, and all parts have to be equal. There are 47 questions in 6 exercises in Class 6 Maths NCERT solutions chapter 7.

Chapter 8: Decimals

Calculations based on decimals are important since we come across many situations in our life where we use decimal numbers. The chapter decimals gives an introduction to the conversion of fractions to decimals, decimals to fractions and addition and subtraction of decimals. In the Class 6 Maths NCERT solutions chapter 8, there are six exercises and thirty-eight questions and some of the questions have sub-questions as well.

Chapter 9: Data Handling

The collection of numbers gathered together to give valuable information is known as data. In the solutions of this chapter to learn CBSE concepts, we will study the representation of data in tabular format, how to interpret certain results from given data, and pictograms and bar graphs in class 6 maths chapter 9. In the Class 6 Math NCERT solutions chapter 9, there are 4 exercises and a total of 16 questions, some of which have sub-questions as well.

Chapter 10: Mensuration

It is difficult to imagine a life without measurements. In class 6 NCERT maths solutions for chapter 10 mensuration, we study how to measure the perimeter of given figures in the form of rectangles. And also areas of squares and rectangles and a few problem statements based on area and perimeter. There are three exercises and thirty questions in Class 6 Maths NCERT solutions chapter 10 mensuration.

Chapter 11: Algebra

Algebra is a field of mathematics where we use letters or symbols to represent numbers and quantities. The chapter gives an introduction to algebra and also talks about variables, how to represent a problem using variables and algebraic equations and their solutions. In the Class 6 Maths NCERT solutions chapter 11 algebra, there are five exercises and a total of thirty questions. There are sub-questions for some of the questions.

Chapter 12: Ratio and Proportion

Ratios are used for the purpose of comparing quantities. If two sets of ratios are equal, then the ratios are said to be in proportion. The NCERT solutions for class 6 maths of this chapter give an idea about how to solve problems using ratios. There are 29 questions in the three exercises mentioned in the Class 6 Maths NCERT solutions chapter 12. Solving all these questions helps in scoring full marks in the chapter for examinations.

Chapter 13: Symmetry

Symmetry gives beauty to many constructions and patterns. For example, the figure of Tajmahal is symmetrical (vertically) and rangoli with symmetry will look good. The chapter talks about the line of symmetry of figures. The symmetry of figures is used in designing many patterns, beautiful buildings, etc. There are three exercises and thirteen questions in chapter symmetry.

Chapter 14: Practical Geometry

The chapter talks about the construction of certain geometrical figures using compass, ruler and square. The class 6 NCERT maths solutions for chapter 14 talks about the construction of circles, lines, the perpendicular bisector of lines, angles and angle bisectors. This is an important chapter for the exam. If all exercises are solved by constructing all the figures, then it is easy to obtain full mark in the chapter. There are 6 exercises and 33 questions in the chapter.

How to Use NCERT Solutions for Class 6 Maths?

Go to the chapter that you wish to check
Click on the link given there
The chapter pages with NCERT solutions for class 6 maths will open.
Check the questions and solutions given in the NCERT textbook.

NCERT Books and NCERT Syllabus

Benefits of NCERT Solutions for Class 6 Maths

Well, solving homework is now a very easy breezy thing. Just refer to the Class 6 NCERT Maths solutions and use the solution to complete your homework.
If any doubt arises while solving NCERT questions, you can check the solutions of NCERT for class 6 to clarify your concepts.
NCERT Class 6 Maths solutions have been given in easy steps and can be easily understood.
Good marks in the exam will now be a reality with the NCERT solutions for class 6 maths.

NCERT Solutions Class wise -

Frequently Asked Questions (FAQs)

1. How does these NCERT solutions are helpful ?

NCERT solutions are helpful for the students when they stuck while solving the problems. As these solutions are provided in a very simple language, so it can be understood by an average student also.

2. Do students need to use the NCERT Solutions for 6th standard Maths PDFs?

The NCERT Solutions for 6th class maths have been developed by the experts at Careers360 through extensive research on each concept. Students who have queries during class hours can download the solution PDFs from BYJU’S and learn the concepts effectively. These solutions are available in both chapter-wise and exercise-wise formats, which assist students in preparing for their exams with confidence.

3. Where can I find the complete solutions of NCERT class six ?

Here, class 6 math solutions are provided. You can access these by clicking the link for NCERT solutions for class 6. These are prepared by the expert team at Careers360 keeping in mind the latest CBSE syllabus. Practice these to get an in-depth understanding and a good grasp on the concepts.

4. Do students need to solve all the problems provided in the NCERT Solutions for Class 6 Maths?

In the CBSE board exams, every problem, regardless of its level of difficulty, is crucial. Therefore, it is recommended that students solve the NCERT textbook problems daily to grasp the fundamental concepts. Regular practice enables students to identify their weaknesses and work on them to achieve better academic scores. The step-by-step explanations provided for each problem in the NCERT Solutions will aid students in performing well in their annual exams.

Also Read

NCERT Solutions for Class 6 Science Chapter 3 Fibre to Fabric

NCERT Solutions for Class 6 Science Chapter 2 Components of Food

NCERT Solutions for Class 6 Science Chapter 1 Food Where Does It Come From

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes

NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry

NCERT Solutions for Class 6 Maths Chapter 13 Symmetry

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Popular Questions

A block of mass 0.50 kg is moving with a speed of 2.00 ms^-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1) $0.34\; J$	Option 2) $0.16\; J$
Option 3) $1.00\; J$	Option 4) $0.67\; J$

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up ? Fat supplies 3.8×10⁷J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 ms⁻² :

Option 1)

2.45×10⁻³ kg

Option 2)

6.45×10⁻³ kg

Option 3)

9.89×10⁻³ kg

Option 4)

12.89×10⁻³ kg

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1) $2,000 \; J - 5,000\; J$	Option 2) $200 \, \, J - 500 \, \, J$
Option 3) $2\times 10^{5}J-3\times 10^{5}J$	Option 4) $20,000 \, \, J - 50,000 \, \, J$

A particle is projected at 60⁰ to the horizontal with a kinetic energy $K$ . The kinetic energy at the highest point

Option 1) $K/2\,$	Option 2) $\; K\;$
Option 3) $zero\;$	Option 4) $K/4$

In the reaction,

$2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}$

Option 1) $11.2\, L\, H_{2(g)}$ at STP is produced for every mole $HCL_{(aq)}$ consumed	Option 2) $6L\, HCl_{(aq)}$ is consumed for ever $3L\, H_{2(g)}$ produced
Option 3) $33.6 L\, H_{2(g)}$ is produced regardless of temperature and pressure for every mole Al that reacts	Option 4) $67.2\, L\, H_{2(g)}$ at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, $Mg_{3}(PO_{4})_{2}$ will contain 0.25 mole of oxygen atoms?

Option 1) 0.02	Option 2) 3.125 × 10^-2
Option 3) 1.25 × 10^-2	Option 4) 2.5 × 10^-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1) decrease twice	Option 2) increase two fold
Option 3) remain unchanged	Option 4) be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1) Molality	Option 2) Weight fraction of solute
Option 3) Fraction of solute present in water	Option 4) Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol^-1) is

Option 1) twice that in 60 g carbon	Option 2) 6.023 × 10²²
Option 3) half that in 8 g He	Option 4) 558.5 × 6.023 × 10²³

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t²) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m² , the number of rotations made by the pulley before its direction of motion if reversed, is