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NCERT Solutions
Class 6
Maths

Frequently Asked Questions

These help students prepare better for exams by helping them understand concepts, clear doubts, practise, and review each concept regularly.

Students can use them to practice regularly, to do homework and for exam preparation.

Yes, taking notes can help you better revise each concept and improve your problem-solving skills.

Chapter-wise solutions are available online in PDF format for free.

Key topics include integers, fractions, decimals, and data handling.

Indeed, there are occasions when attempting a different approach to a problem enhances comprehension and presents a fresh angle on the process.

The NCERT Class 6 Maths textbook is comprised of 12 chapters.

Regular practice improves your understanding of concepts, your ability to solve problems, and your exam readiness

Yes, chapter-wise PDF downloads are available on various educational platforms for free.

Yes, it builds the foundation for advanced topics in Classes 7–10 and beyond.

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NCERT Solutions Class 6 Maths

NCERT Math solutions for class 6 provide thorough answers to all textbook problems, enabling students to quickly and easily understand any concept. These solutions serve as a quick reference for students who may have questions while working through problems, helping them overcome obstacles. Expert mathematicians at ALLEN have prepared NCERT Solutions Class 6 that provide the best methods for approaching and solving various problems.

NCERT Solutions for Class 6 Maths are extremely helpful for students preparing for school exams such as units, half-yearlies, and finals, as well as competitive exams like Olympiads. Additionally, they allow each student to review all of the topics covered in earlier middle school classes.

1.0Chapter-wise NCERT Solutions for Class 6 Maths

These NCERT Solutions for Class 6 Maths provided below are essential for excelling in the Class 6 exams, providing detailed analyses of all problems covered in the textbook. Students can go through these solutions to thoroughly understand the concepts.

NCERT Solutions for Class 6 Maths: All Chapters

Notes

Chapter 1: Patterns in Mathematics

Chapter 2: Lines and Angles

Chapter 3: Number Play

Chapter 4: Data Handling and Presentation

Chapter 5: Prime Time

Chapter 6: Perimeter and Area

Chapter 7: Fractions

Chapter 8: Playing With Construction

Chapter 9: Symmetry

Chapter 10: The Other Side of Zero

NCERT Class 6 Maths - Chapterwise

2.0Detailed Class 6 Maths Chapter-wise Summary

Class 6 Maths helps students learn the basics of mathematics in a simple and practical way. The latest NCERT Class 6 Maths syllabus (2026–27) includes topics like patterns, numbers, fractions, geometry, data handling, symmetry, and integers. These chapters improve calculation skills, logical thinking, and problem-solving ability.

Learning each chapter carefully and practising NCERT questions regularly helps students understand concepts better and score good marks in exams. A strong understanding of Class 6 Maths also makes it easier to study Maths in higher classes

Chapter 1 – Patterns in Mathematics

Class 6 Maths Chapter 1, Patterns in Mathematics, introduces students to recognising and extending patterns in numbers and shapes. It begins with simple repeats and sequences, helping learners understand how patterns form the foundation of mathematical thinking. Students learn to analyse patterns in numbers, how to arrange them, and how they relate to rules. The chapter builds analytical skills by encouraging students to predict what comes next based on observed regularities. The NCERT solutions for this chapter give clear, step-by-step instructions for each exercise, making it easier to understand difficult pattern problems. These solutions help students grasp underlying concepts, improve accuracy, and build confidence in solving pattern-based questions in homework and exams.

Class 6 Maths Chapter 1 Exercises

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

Exercise 1.5

Exercise 1.6

Important Topics and Learning Outcomes

Important Topics

Learning Outcomes

Number Patterns

Find and complete number patterns by identifying the correct rule.

Shape Patterns

Observe and extend repeating and growing patterns using different shapes.

Repeating Patterns

Recognise patterns that repeat in the same order.

Growing Patterns

Understand how patterns increase step by step.

Pattern Rules

Identify the rule used to create a number or shape pattern.

Logical Reasoning

Improve observation skills and solve pattern-based questions with confidence.

Quick Revision Table 

Concept

Quick Revision

Number Pattern

A sequence of numbers that follows a fixed rule.

Shape Pattern

A sequence of shapes arranged using a rule.

Repeating Pattern

A pattern that repeats in the same order.

Growing Pattern

A pattern that increases following a rule.

Pattern Rule

The method used to continue or complete a pattern.

Chapter 2 – Lines and Angles

The chapter Lines and Angles lays the foundation of geometry by introducing students to basic concepts, such as points, lines, rays, and line segments. Students can learn about different types of angles and how to measure them using a protractor. Lines and Angles also explains angle relationships, like complementary, supplementary, adjacent, and vertically opposite angles. NCERT Solutions provided for Chapter 2 help students understand constructions and angle properties through clear diagrams and detailed solutions, improving accuracy in solving geometry-based problems.

Class 6 Maths Chapter 2 Exercises

Exercise 2.4

Exercise 2.5

Exercise 2.6

Exercise 2.8

Exercise 2.9

Exercise 2.10

Exercise 2.11

Important Topics and Learning Outcomes

Important Topics

Learning Outcomes

Line, Ray and Line Segment

Identify and draw different types of lines correctly.

Types of Angles

Recognise acute, right, obtuse, straight, and complete angles.

Measuring Angles

Measure angles accurately using a protractor.

Comparing Angles

Compare angles based on their measurements.

Geometry Around Us

Identify lines and angles in daily life objects and figures.

Quick Revision Table

Concept

Quick Revision

Line

Extends endlessly in both directions.

Ray

Has one endpoint and extends in one direction.

Line Segment

Has two endpoints.

Acute Angle

Less than 90°.

Right Angle

Equal to 90°.

Obtuse Angle

Greater than 90° but less than 180°.

Straight Angle

Equal to 180°.

Chapter 3 – Number Play

Class 6 Maths Chapter 3, Number Play, strengthens number sense through the properties of numbers, divisibility rules, and interesting mathematical patterns. Students explore factors, multiples, and logical number puzzles that improve reasoning skills. It encourages analytical thinking by applying number properties in different situations, such as solving real-world problems and engaging in mathematical discussions. The NCERT Solutions guide students with clear explanations and shortcuts, making complex number concepts easier to understand and helping them perform better in class tests and exams.

Class 6 Maths Chapter 3 Exercises

Exercise 3.2

Exercise 3.3

Exercise 3.4

Exercise 3.7

Exercise 3.8

Exercise 3.11

Exercise 3.12

Important Topics and Learning Outcomes  

Important Topics

Learning Outcomes

Place Value

Read, write, and compare large numbers correctly.

Number Properties

Understand different properties of whole numbers.

Divisibility Rules

Check whether a number is divisible by another number.

Number Patterns

Find simple patterns using numbers.

Comparing Numbers

Arrange numbers in ascending and descending order.

Problem Solving

Solve number-based questions using logical thinking.

Quick Revision Table

Concept

Quick Revision

Place Value

The value of a digit based on its position.

Face Value

The actual value of a digit.

Divisibility

Checking if one number divides another exactly.

Ascending Order

Smallest to greatest.

Descending Order

Greatest to smallest.

Chapter 4 – Data Handling and Presentation

The Data Handling and Presentation chapter teaches students how to collect, organise, and represent data meaningfully. Learners work with tally marks, frequency tables, pictographs, and bar graphs. The chapter also focuses on interpreting data and drawing conclusions. NCERT Solutions provide systematic explanations for reading and creating graphs, ensuring conceptual clarity and helping students answer data-based questions accurately in examinations.

Class 6 Maths Chapter 4 Exercises

Exercise 4.1

Exercise 4.2

Exercise 4.3

Exercise 4.4

Exercise 4.5

Important Topics and Learning Outcomes

Important Topics

Learning Outcomes

Data Collection

Collect information from different sources.

Tally Marks

Record data using tally marks.

Tables

Organise data in tables.

Pictographs

Read and draw pictographs correctly.

Bar Graphs

Understand and compare information using bar graphs.

Data Interpretation

Answer questions based on given data.

Quick Revision Table

Concept

Quick Revision

Data

A collection of information.

Tally Marks

A simple way to count and record data.

Table

Organised data in rows and columns.

Pictograph

Data shown using pictures or symbols.

Bar Graph

Data shown using bars of equal width.

Chapter 5 – Prime Time

Class 6 Maths Chapter 5, Prime Time, focuses on understanding prime and composite numbers, factors, and multiples. Students learn prime factorisation and explore common factors and multiples. These concepts form the basis for higher mathematics topics such as HCF and LCM. NCERT Solutions offer detailed step-by-step methods for solving factorisation problems, improving speed, accuracy, and conceptual understanding.

Class 6 Maths Chapter 5 Exercises

Exercise 5.1

Exercise 5.2

Exercise 5.3

Exercise 5.4

Exercise 5.5

Important Topics and Learning Outcomes  

Important Topics

Learning Outcomes

Factors

Find all factors of a number.

Multiples

Identify multiples of different numbers.

Prime Numbers

Recognise prime numbers correctly.

Composite Numbers

Identify composite numbers.

Factor Trees

Break numbers into prime factors.

Number Relationships

Understand the connection between factors and multiples. 

Quick Revision Table 

Concept

Quick Revision

Factor

A number that divides another number exactly.

Multiple

The product of a number and a whole number.

Prime Number

Has only two factors: 1 and itself.

Composite Number

Has more than two factors.

Prime Factorisation

Writing a number as the product of prime numbers.

Chapter 6 – Perimeter and Area

This chapter introduces the concept of measuring shapes using perimeters and areas. Students learn how to calculate the boundary and surface of rectangles and squares using appropriate formulas. It also highlights the importance of correct measurement units and solving practical, real-life word problems. The NCERT Solutions present formulas in a clear manner and provide step-by-step methods, helping students minimise calculation mistakes and build strong confidence in problem-solving.

Class 6 Maths Chapter 6 Exercises

Exercise 6.1

Exercise 6.2

Exercise 6.3

Important Topics and Learning Outcomes

Important Topics

Learning Outcomes

Perimeter

Find the boundary of simple figures.

Are

Calculate the space inside a shape.

Rectangles

Find perimeter and area of rectangles.

Squares

Calculate perimeter and area of squares.

Units of Measurement

Use the correct units while solving questions.

Real-Life Problems

Apply measurement concepts in everyday situations.

Quick Revision Table

Concept

Quick Revision

Perimeter

Total length of the boundary.

Area

Space inside a figure.

Rectangle

Opposite sides are equal.

Square

All four sides are equal.

Unit

cm, m, cm², m² as required.

Chapter 7 – Fractions

Chapter 7, Fractions, explains fractions as parts of a whole and their representation on a number line. Students learn about proper, improper, and mixed fractions, equivalent fractions, and basic operations such as addition and subtraction. The NCERT Solutions simplify fraction calculations with clear steps and examples, helping students understand the concepts better and perform well in exams.

Class 6 Maths Chapter 7 Exercises

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4

Exercise 7.5

Exercise 7.6

Exercise 7.7

Exercise 7.8

Important Topics and Learning Outcomes

Important Topics

Learning Outcomes

Proper Fractions

Identify fractions smaller than one.

Improper Fractions

Recognise fractions greater than or equal to one.

Mixed Fractions

Convert between mixed and improper fractions.

Equivalent Fractions

Find fractions with the same value.

Comparing Fractions

Compare fractions using different methods.

Simplifying Fractions

Write fractions in the simplest form.

Quick Revision Table

Concept

Quick Revision

Numerator

Number above the fraction line.

Denominator

Number below the fraction line.

Proper Fraction

Numerator is smaller than the denominator.

Improper Fraction

Numerator is equal to or greater than the denominator.

Equivalent Fractions

Different fractions with the same value.

Chapter 8 – Playing with Constructions

This chapter develops practical geometry skills using tools like a ruler and a compass. Students learn to draw line segments, angles, perpendicular bisectors, and angle bisectors. It strengthens understanding of geometric constructions through hands-on practice. NCERT Solutions provide clear procedural steps and diagrams, making constructions easier and more accurate.

Class 6 Maths Chapter 8 Exercises

Exercise 8.1

Exercise 8.2

Exercise 8.3

Exercise 8.4

Exercise 8.5

Important Topics and Learning Outcomes  

Important Topics

Learning Outcomes

Line Segment

Draw line segments of a given length.

Circle

Draw circles using a compass.

Compass

Use a compass correctly.

Ruler

Measure and draw straight lines accurately.

Basic Constructions

Draw simple geometric figures.

Practical Geometry

Improve accuracy through construction activities.

Quick Revision Table

Concept

Quick Revision

Compass

Used to draw circles.

Ruler

Used to measure and draw straight lines.

Radius

Distance from the centre to the circle.

Diameter

A line passing through the centre of a circle.

Construction

Drawing figures using mathematical tools.

Chapter 9 – Symmetry

Class 6 Maths Chapter 9 – Symmetry introduces line symmetry and rotational symmetry in shapes. Students identify symmetric figures and determine their rotational symmetry orders. The chapter improves spatial understanding and visual reasoning. NCERT Solutions offers diagram-based explanations that help students easily recognise symmetry and solve related problems confidently.

Class 6 Maths Chapter 9 Exercises

Exercise 9.1

Exercise 9.2

Important Topics and Learning Outcomes

Important Topics

Learning Outcomes

Line of Symmetry

Identify lines of symmetry in figures.

Symmetrical Shapes

Recognise symmetrical figures.

Mirror Images

Understand reflection using mirrors.

Drawing Symmetry

Complete symmetrical figures accurately.

Everyday Examples

Find symmetry in real-life objects.

Quick Revision Table

Concept

Quick Revision

Symmetry

When both halves are exactly alike.

Line of Symmetry

Divides a figure into two equal halves.

Reflection

Mirror image of a figure.

Symmetrical Figure

A figure with one or more lines of symmetry.

Asymmetrical Figure

A figure with no line of symmetry.

Chapter 10 – The Other Side of Zero

The Other Side of Zero chapter introduces negative numbers and integers and explains their representation on the number line. Students learn to compare integers and understand opposites in real-life contexts like temperature and elevation. NCERT Solutions provide simple explanations and number line methods, making integer concepts clear and easy to apply in problem-solving.

Class 6 Maths Chapter 10 Exercises

Exercise 10.1

Exercise 10.2

Exercise 10.3

Exercise 10.4

Exercise 10.5

Important Topics and Learning Outcomes

Important Topics

Learning Outcomes

Positive Numbers

Identify numbers greater than zero.

Negative Numbers

Understand numbers less than zero.

Integers

Learn positive numbers, negative numbers, and zero.

Number Line

Represent integers correctly on a number line.

Comparing Integers

Compare and arrange integers.

Real-Life Uses

Understand how integers are used in everyday situations.

Quick Revision Table

Concept

Quick Revision

Integer

Positive numbers, negative numbers, and zero.

Positive Number

Greater than zero.

Negative Number

Less than zero.

Zero

Neither positive nor negative.

Number Line

Shows the position of integers in order.

3.0Latest NCERT Class 6 Maths Syllabus (2026–27)  

The latest NCERT Class 6 Maths syllabus has 10 chapters. Each chapter teaches important maths concepts through simple examples and activities. Students learn how to use maths in daily life while improving their thinking and calculation skills.

Chapter

Chapter Name

What You Will Learn

1

Patterns in Mathematics

Number patterns, shape patterns, and finding rules

2

Lines and Angles

Lines, rays, angles, and different types of angles

3

Number Play

Place value, divisibility rules, and number tricks

4

Data Handling and Presentation

Collecting data, tally marks, tables, pictographs, and bar graphs

5

Prime Time

Factors, multiples, prime numbers, and composite numbers

6

Perimeter and Area

Finding the boundary and area of simple shapes

7

Fractions

Types of fractions, comparing fractions, and equivalent fractions

8

Playing with Constructions

Drawing lines, circles, and simple geometric figures

9

Symmetry

Lines of symmetry and symmetrical shapes

10

The Other Side of Zero

Positive numbers, negative numbers, and number line

4.0CBSE Class 6 Maths Chapter-wise Weightage

The table below shows the estimated weightage of each chapter in CBSE Class 6 maths examinations. Please note that this distribution may vary depending on the school, internal assessment pattern, and question paper design. Students are advised to prepare all chapters thoroughly rather than focusing only on high-weightage chapters.

Chapter

Weightage

Chapter 1: Pattern in Mathematics

10-12 marks

Chapter 2: Lines and Angles

8-10 marks

Chapter 3: Number Play

10-12 marks

Chapter 4: Data Handling and Presentation

6-8 marks

Chapter 5: Prime Time

8-10 marks

Chapter 6: Perimeter and Area

6-8 marks

Chapter 7: Fractions

8-10 marks

Chapter 8: Play with Constructions

6-8 marks

Chapter 9: Symmetry

4-5 marks

Chapter 10: The Other Side of Zero

6-8 marks

5.0 Common Mistakes Students Make in Class 6 Maths   

Many students understand the concepts in Class 6 Maths but still lose marks because of small mistakes. Reading questions carefully, practising regularly, and checking answers can help improve accuracy. Avoiding these common errors will make problem-solving easier and help you score better in school exams.

Common Mistake

Why It Happens

How to Avoid It

Not understanding the question properly

Reading the question too quickly

Read the complete question before solving it.

Missing the pattern rule

Guessing the next number without finding the rule

Identify the rule first, then continue the pattern.

Confusing perimeter and area

Mixing up both concepts

Remember that perimeter is the boundary, while area is the space inside a shape.

Forgetting divisibility rules

Lack of regular revision

Revise divisibility rules and practise number questions daily.

Comparing fractions incorrectly

Not finding a common denominator

Simplify or convert fractions before comparing them.

Making mistakes while reading graphs

Ignoring labels and values

Read the title, scale, and labels carefully.

Drawing inaccurate geometry figures

Not using mathematical instruments correctly

Use a ruler, compass, and protractor carefully.

Placing integers incorrectly on the number line

Confusion between positive and negative numbers

Compare the numbers before marking them.

Forgetting to write units

Solving measurement questions in a hurry

Always write the correct unit in the final answer.

Skipping the final answer check

Finishing the paper quickly

Spend the last few minutes checking your calculations.

6.0The Importance of NCERT Solutions Beyond Class 6   Maths

A strong understanding of NCERT Class 6 Maths helps students build the mathematical foundation needed for higher classes. Topics such as Fractions, Lines and Angles, Prime Time, Perimeter and Area, Data Handling, and Integers are studied in greater detail in Classes 7 to 10 and form the base for advanced topics like Algebra, Geometry, Mensuration, and Coordinate Geometry. Developing clear concepts at this stage makes learning Mathematics easier in higher classes and supports students who plan to prepare for competitive exams like JEE in the future.

Scoring well in Class 6 Maths requires more than memorising answers. Regular practice, concept clarity, and solving NCERT Class 6 Maths Solutions help students improve calculation skills, logical reasoning, and problem-solving ability. These skills not only help students perform well in school examinations but also prepare them for advanced Mathematics in higher classes.

7.0 JEE/NEET Foundation: Importance of Each Chapter in Class 6 Maths   

Although JEE and NEET do not include the Class 6 Maths syllabus, the concepts learned in Class 6 help students build strong mathematical skills for higher classes. A good understanding of these topics improves logical thinking, calculation speed, reasoning, and problem-solving abilities that are useful throughout school education.

Chapter

Why It Is Important for Higher Classes

Patterns in Mathematics

Develops logical thinking and pattern recognition used in Algebra.

Lines and Angles

Builds the foundation for Geometry and Mensuration.

Number Play

Improves number sense and calculation skills.

Data Handling and Presentation

Introduces data interpretation and graphical representation.

Prime Time

Helps in understanding factors, multiples, HCF, and LCM.

Perimeter and Area

Builds the base for Mensuration and practical measurements.

Fractions

Forms the foundation for decimals, percentages, ratios, and algebra.

Playing with Constructions

Improves geometry drawing and spatial understanding.

Symmetry

Develops visual reasoning and geometric understanding.

The Other Side of Zero

Introduces integers, which are important for Algebra and Coordinate Geometry.

8.0Exam Preparation Strategy    for Class 6 NCERT Maths

A planned study routine can make Class 6 Maths easier to understand and revise. Instead of memorising methods, focus on understanding the concepts and practising different types of questions. Regular revision and solving NCERT textbook exercises will help you improve both speed and accuracy.

Study Step

What You Should Do

Understand the Concept

Read the NCERT chapter carefully and understand each topic.

Solve Examples

Complete all solved examples before attempting exercises.

Finish NCERT Exercises

Solve every exercise question without skipping any.

Revise Weekly

Revise one or two chapters every week.

Practise Extra Questions

Solve worksheets and sample papers for better practice.

Focus on Difficult Topics

Spend extra time on Fractions, Prime Time, and Geometry.

Learn Key Concepts

Revise important definitions and formulas regularly.

Check Your Answers

Review your solutions to identify and correct mistakes.

9.0Last-Minute Preparation Tips for Class 6 Maths  

Use the last few days before the exam to revise important concepts instead of starting new topics. Focus on understanding the basics and practising NCERT questions to improve your confidence.

  • Revise the important concepts from all chapters.
  • Solve important NCERT questions and examples again.
  • Practise Fractions, Prime Time, Perimeter and Area, and Data Handling.
  • Revise important formulas, definitions, and mathematical terms.
  • Draw geometry figures neatly using the correct instruments.
  • Read every question carefully before answering.
  • Write the correct units wherever needed.
  • Check your answers before submitting the paper.

These simple revision tips can help you avoid common mistakes and score better in your Class 6 Maths exam.

10.0CBSE Class 6 Maths Essential Resources

To prepare effectively for Class 6 Maths, students require the right mix of conceptual clarity, structured practice, and exam awareness. The resources below bring together essential CBSE and NCERT materials, including detailed NCERT Solutions, chapter-wise CBSE Notes, the latest exam pattern, sample papers, and official textbooks. These tools help students strengthen their fundamentals, practice different types of questions, and understand the CBSE marking scheme. Using them regularly helps improve accuracy, confidence, and overall performance in school exams

CBSE Notes Class 6

NCERT Textbooks Class 6 Maths

CBSE Class 6 Maths Sample Papers

CBSE Class 6 Maths Syllabus

11.0Benefits of NCERT Solutions for Class 6 Maths

The CBSE Class 6 Maths NCERT Solutions are highly significant, as they provide detailed, step-by-step solutions to all problems in the NCERT Textbook for Class 6 Maths. A few highlights of such well-structured solutions are:

  • Time Management: These NCERT Class 6 Maths Solutions give students great speed so they can finish all chapters timely while also having enough time to go over each lesson in detail. They are very helpful during exams because the solutions provide an overview of all the topics, allowing students to quickly review them and remember each concept.
  • Exam Preparation: Students can achieve the highest possible score by completing the test papers step-by-step and providing adequate explanations for each calculation. Therefore, students can increase their chances of receiving high marks in an exam by using the NCERT Class 6 Maths Solutions, which provides guidance on how to present their answers efficiently.
  • Doubts Solving: The clear, accurate explanations in the solutions can help students clarify their

ALLEN’s solutions for NCERT Class 6 Maths help students elevate their exam preparation by clearing the concepts, resolving doubts, and improving their time management skills. This ensures they excel in their exams.

Subject-wise NCERT Solutions

NCERT Class 10 Maths Solutions

NCERT Class 10 Science Solutions

NCERT Class 10 Social Science Solutions

NCERT Class 10 English Solutions

NCERT Class 9 Maths Solutions

NCERT Class 9 Science Solutions

NCERT Class 9 Social Science Solutions

NCERT Class 9 English Solutions

NCERT Class 8 Maths Solutions

NCERT Class 8 Science Solutions

NCERT Class 8 Social Science Solutions

NCERT Class 8 English Solutions

NCERT Class 7 Maths Solutions

NCERT Class 7 Science Solutions

NCERT Class 7 Social Science Solutions

NCERT Class 7 English Solutions

NCERT Class 6 Maths Solutions

NCERT Class 6 Science Solutions

NCERT Class 6 Social Science Solutions

NCERT Class 6 English Solutions


Class-wise NCERT Solutions

NCERT Solutions for Class 10

NCERT Solutions for Class 9

NCERT Solutions for Class 8

NCERT Solutions for Class 7

NCERT Solutions for Class 6

NCERT Solutions for Class 12

NCERT Solutions for Class 11