| S.no. | Chapter-Wise NCERT Exemplar for Class 6 Maths Solutions |
|---|---|
| 1. | Chapter 1 Number System |
| 2. | Chapter 2 – Geometry |
| 3. | Chapter 3 – Integers |
| 4. | Chapter 4 – Fractions and Decimals |
| 5. | Chapter 5 – Data Handling |
| 6. | Chapter 6 – Mensuration |
| 7. | Chapter 7 – Algebra |
| 8. | Chapter 8 – Ratio and Proportion |
| 9. | Chapter 9 – Symmetry and Practical Geometry |
Chapters of NCERT Exemplar for Class 6 Maths Solutions
Chapter 1: Knowing Our Numbers
This chapter introduces students to large numbers and their representation in the Indian and International system of numeration. Through NCERT Exemplar solutions, learners practice comparing, ordering, and estimating numbers with accuracy. Word problems enhance understanding of mathematical operations in real-life contexts. The solutions provide detailed steps, making it easier for students to grasp tricky calculations. Emphasis is given on place value, rounding off, and solving application-based questions. By practicing these exercises, students build confidence in handling big numbers, which is essential for higher classes and daily life problem-solving involving money, population, distance, and measurement.
Chapter 2: Whole Numbers
The chapter deals with properties of whole numbers such as closure, commutativity, and distributivity. NCERT Exemplar Class 6 Maths solutions help students understand the number line representation and the concept of predecessor and successor. Problems based on patterns and puzzles are solved in a step-by-step manner to strengthen logical reasoning. Exemplar questions go beyond textbook exercises, ensuring deeper conceptual clarity. By practicing these solutions, students can easily master the use of whole numbers in day-to-day life and advanced topics. This chapter builds a strong foundation for algebra, arithmetic progressions, and other higher-level concepts introduced in later classes.
Chapter 3: Playing with Numbers
This chapter focuses on factors, multiples, prime and composite numbers, and divisibility rules. Exemplar solutions provide detailed explanations of tricky word problems, HCF, LCM, and their applications in real-life scenarios. The step-by-step approach ensures that students not only solve problems but also understand the logic behind them. Interesting puzzles and higher-order questions improve problem-solving skills and analytical thinking. The solutions also strengthen understanding of prime factorization, which is used in advanced mathematics. Regular practice of exemplar problems helps students excel in competitive exams at the school level while building a strong number sense and logical reasoning ability.
Chapter 4: Basic Geometrical Ideas
This chapter introduces basic concepts of geometry, such as points, lines, line segments, rays, angles, and polygons. Exemplar solutions for Class 6 Maths provide easy-to-follow explanations and diagrams, making the concepts clear. Students learn to differentiate between open and closed curves, identify circles, and understand terms like chord, diameter, and radius. The solutions guide learners in solving application-based geometry problems with accuracy. By practicing these exercises, students develop visual thinking, logical reasoning, and precision in drawing figures. This chapter lays the groundwork for advanced topics like coordinate geometry, mensuration, and constructions in higher classes of mathematics.
Chapter 5: Understanding Elementary Shapes
Here, students explore different types of angles, triangles, quadrilaterals, polygons, and three-dimensional figures. The NCERT Exemplar solutions provide a step-by-step approach to measuring line segments and angles using a ruler and protractor. Questions that involve classification of shapes based on sides and angles are explained clearly. The exemplar questions strengthen spatial understanding and geometric reasoning. Practical problems enhance the ability to visualize and relate shapes to real-life objects. By mastering this chapter with exemplar solutions, students build confidence in handling geometry-based questions, which play a major role in both board exams and competitive assessments later.
Chapter 6: Integers
This chapter introduces positive and negative numbers along with operations on integers. NCERT Exemplar solutions explain how to perform addition, subtraction, multiplication, and division of integers using number line and rules. Word problems are solved step by step, helping students apply integers in real-life situations like temperature, bank balance, and elevation. The solutions make abstract concepts easier to understand through examples and diagrams. By practicing regularly, students build accuracy in solving questions involving negative numbers. This chapter provides a foundation for algebraic expressions, equations, and coordinate geometry in higher classes, making it a crucial part of mathematics learning.
Chapter 7: Fractions
Fractions form the base of arithmetic learning. This chapter covers types of fractions, comparison, simplification, addition, subtraction, multiplication, and division. NCERT Exemplar solutions provide well-explained steps that make complex problems easier. Word problems involving fractions are solved with clarity to connect concepts to real-life examples like sharing, measurement, and percentages. Students learn equivalent fractions, proper and improper fractions, and their conversions. The exemplar solutions also strengthen problem-solving speed and accuracy. Mastering this chapter ensures students develop strong numerical skills, which are useful in advanced topics such as ratio, proportion, decimals, percentages, and probability in higher classes.
Chapter 8: Decimals
Decimals are widely used in daily life for money, length, and weight. This chapter teaches students about place values in decimals, comparison, addition, subtraction, multiplication, and division. NCERT Exemplar solutions simplify decimal operations with clear steps and examples. Word problems highlight practical uses of decimals in shopping, measurement, and financial transactions. The solutions also cover conversions between fractions and decimals. By solving these exemplar questions, students strengthen their accuracy and logical reasoning. Understanding decimals is essential for mastering higher topics such as algebra, statistics, and data handling. Regular practice improves confidence in solving real-world problems quickly.
Chapter 9: Data Handling
This chapter focuses on the collection, representation, and interpretation of data. NCERT Exemplar solutions help students learn how to prepare and read pictographs, bar graphs, and tally marks. The solutions explain each step in drawing graphs, ensuring clarity in understanding. Word problems based on real-life data make the topic interesting and practical. Students also develop skills in analyzing information and drawing logical conclusions. Exemplar questions strengthen mathematical reasoning and visualization. By practicing these solutions, students gain confidence in handling data-related problems, which are important for subjects like statistics, economics, and science experiments in higher studies.
Chapter 10: Mensuration
Mensuration deals with finding the perimeter and area of different two-dimensional figures such as squares, rectangles, triangles, and circle. Exemplar solutions explain formulas in simple language with step-by-step solutions. Word problems related to fencing fields, flooring rooms, and calculating boundary lengths are solved in detail. Students also practice questions on volume and surface area of three-dimensional shapes like cubes and cuboids. These solutions ensure strong conceptual clarity and practical application. By mastering this chapter, students develop problem-solving efficiency that is useful not only in academics but also in real-life scenarios related to measurement and construction.
Chapter 11: Algebra
This chapter introduces algebraic expressions, variables, constants, and basic operations on them. NCERT Exemplar solutions guide students through word problems and step-by-step simplifications, making algebra less intimidating. The solutions explain how to form expressions, substitute values, and use simple equations to solve problems. Real-life applications, such as age problems and patterns, are also covered. Practicing exemplar questions strengthens logical reasoning, analytical thinking, and problem-solving skills. Understanding algebra at this stage builds a strong foundation for higher-level topics like equations, polynomials, and coordinate geometry, which are crucial in advanced mathematics and competitive exams.
Chapter 12: Ratio and Proportion
This chapter explains the concept of ratio, its comparison, and applications of proportion in solving problems. NCERT Exemplar solutions simplify complex word problems with clear, step-by-step explanations. Students learn about equivalent ratios, the unitary method, and direct applications in daily life, such as recipes, speed, and map reading. The solutions encourage analytical and logical reasoning skills while strengthening calculation accuracy. By practicing these exemplar questions, students develop confidence in solving ratio-related problems efficiently. A strong foundation in this chapter is essential for understanding advanced topics such as percentages, probability, and trigonometry in higher classes.
Chapter 13: Symmetry
Symmetry deals with mirror images, lines of symmetry in figures, and their applications. NCERT Exemplar solutions provide step-by-step guidance with clear diagrams, helping students visualize concepts easily. Questions involve identifying symmetrical objects, drawing lines of symmetry, and applying concepts in geometry. Real-life applications such as symmetry in nature, art, and architecture are also highlighted. Practicing exemplar questions builds spatial understanding and visualization skills. This chapter enhances creativity and logical reasoning while preparing students for higher topics like transformations and coordinate geometry. Mastering symmetry helps in appreciating both the mathematical and artistic aspects of everyday life.
Chapter 14: Practical Geometry
This chapter focuses on drawing geometrical figures using a ruler, compass, and protractor. NCERT Exemplar solutions provide easy-to-follow steps for constructing line segments, perpendiculars, angles, and triangles. Detailed illustrations guide students through accurate constructions. The solutions also explain geometric reasoning behind each construction, strengthening conceptual clarity. Students gain hands-on practice, which improves their precision and confidence in geometry. Real-life applications such as design, architecture, and engineering make this chapter very practical. By mastering exemplar problems, students build strong visualization and logical thinking skills, which are essential for advanced geometry and mathematics in higher classes.
Frequently Asked Questions
NCERT Exemplar for Class 6 Maths Solutions is a resource designed to provide advanced-level practice beyond the regular NCERT textbook. It includes higher-order thinking questions, application-based problems, and conceptual exercises that challenge students to think deeply. The solutions offered by Home-tution.com are structured step by step to make problem-solving easy and effective. These solutions not only help in building strong fundamentals but also develop analytical and logical reasoning skills. By practicing exemplar problems, students become better prepared for school exams, Olympiads, and future competitive assessments. Moreover, the detailed solutions ensure that even difficult topics are broken down into simple steps, helping students avoid confusion. For Class 6 students, NCERT Exemplar is the perfect tool to bridge the gap between basic understanding and advanced learning, ensuring long-term success in mathematics.
NCERT Exemplar Class 6 Maths Solutions play a crucial role in exam preparation as they provide practice for questions that go beyond the standard NCERT textbook. Many school exam papers often include tricky, application-based, and higher-order questions that are inspired by exemplar problems. With Home-tution.com solutions, students get step-by-step explanations that not only give the correct answer but also explain the method thoroughly. This makes it easier for students to understand concepts, improve speed, and gain confidence. Regular practice of exemplar questions ensures accuracy and minimizes mistakes during exams. Additionally, these solutions expose students to different types of problems, which enhances their problem-solving abilities. By mastering exemplar solutions, Class 6 students can approach exams with better preparation, ensuring improved performance and higher scores. Thus, these solutions act as a complete guide for both revision and practice.
Yes, NCERT Exemplar Class 6 Maths Solutions are highly beneficial for competitive exams at the school level, such as Olympiads, NTSE foundation, and other talent search tests. These exams require strong conceptual clarity, logical reasoning, and advanced problem-solving skills. The exemplar questions are designed to push students beyond simple textbook problems, encouraging them to apply concepts in real-life and tricky situations. With Home-tution.com’s detailed solutions, students can understand the reasoning behind every step, making learning effective. Regular practice improves analytical skills, accuracy, and speed—qualities essential for competitive exams. Moreover, these solutions introduce students to higher-order questions early, which gives them an edge in future exams like JEE, NEET, and other entrance tests. By practicing NCERT Exemplar Class 6 Maths regularly, students build a solid foundation that not only helps in academics but also in excelling in competitive exams.
To use NCERT Exemplar Class 6 Maths Solutions effectively, students should follow a structured approach. First, they must read the chapter from the NCERT textbook to understand the basic concepts. Once the fundamentals are clear, they can move to exemplar problems. Home-tution.com solutions provide detailed, step-by-step explanations that make even difficult questions easy to understand. Students should attempt questions on their own first and then cross-check with the solutions to identify mistakes. Consistent practice is the key to mastering mathematics, so setting aside regular time for exemplar problems will ensure steady progress. It is also helpful to mark difficult questions and revisit them during revision. By using the solutions as a guide rather than memorizing them, students can develop strong problem-solving abilities. This systematic practice builds confidence and ensures better performance in school exams and competitive assessments.
Home-tution.com provides well-structured, step-by-step NCERT Exemplar Class 6 Maths Solutions that make learning easy and effective. Unlike random answer keys, these solutions are carefully prepared by subject experts to ensure accuracy and clarity. Each question is explained in detail, highlighting not just the answer but also the method and logic behind it. This approach helps students build conceptual understanding rather than rote learning. The platform focuses on making mathematics simple, engaging, and stress-free for learners. Moreover, Home-tution.com solutions are aligned with the CBSE syllabus, making them highly reliable for exam preparation. They also include advanced-level problems that improve analytical and reasoning skills, useful for both school exams and competitive tests. By choosing Home-tution.com, students gain access to high-quality resources that strengthen their mathematical foundation and boost overall confidence, ensuring long-term academic success in mathematics.