NCERT solutions for class 6 maths with detailed, easy explanations

NCERT solutions for class 6 maths provide step-by-step solutions to all the exercises in the NCERT textbook. Improve your math skills with these accurate, easy-to-understand solutions.



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  • What is the sum of two even numbers? When two even numbers are added together, the result will always be an even number. For example, 4 + 6 = 10.

  • What is the difference between an even and an odd number? An even number is divisible by 2, while an odd number is not. For instance, 2 is even, and 3 is odd.

  • How do you convert a fraction into a decimal? To convert a fraction into a decimal, divide the numerator by the denominator. For example, 1/2 = 0.5.

  • What is a prime number? A prime number is a number that has only two divisors: 1 and itself. For example, 5 is prime because it can only be divided by 1 and 5.

  • How do you find the area of a rectangle? The area of a rectangle can be found by multiplying the length and width. For example, if the length is 5 cm and the width is 3 cm, the area is 15 cm².

  • What is the perimeter of a square? The perimeter of a square is the sum of all four equal sides. If the side length is 4 cm, the perimeter is 4 × 4 = 16 cm.

  • How do you convert a mixed number into an improper fraction? To convert a mixed number into an improper fraction, multiply the whole number by the denominator and add the numerator. For example, 2 1/3 becomes (2×3 + 1)/3 = 7/3.

  • What is the difference between a line segment and a ray? A line segment has two endpoints, while a ray has one endpoint and extends infinitely in one direction.

  • What is the value of pi? Pi is a constant approximately equal to 3.14159. It is the ratio of the circumference of a circle to its diameter.

  • How do you find the volume of a cube? The volume of a cube is found by cubing the length of one of its sides. For example, if the side length is 4 cm, the volume is 4³ = 64 cm³.

  • What is the difference between a square and a rectangle? A square has all sides equal, while a rectangle has opposite sides equal.

  • What is the sum of the angles in a triangle? The sum of the interior angles of a triangle is always 180 degrees.

  • How do you find the average of a set of numbers? To find the average, add all the numbers together and divide by the total number of numbers. For example, the average of 3, 5, and 7 is (3 + 5 + 7)/3 = 5.

  • What is the difference between area and perimeter? The perimeter is the distance around the outside of a shape, while the area is the amount of space inside the shape.

  • What is the product of two negative numbers? The product of two negative numbers is always positive. For example, -3 × -4 = 12.

  • How do you subtract larger numbers from smaller ones? To subtract a larger number from a smaller one, you will need to borrow from the next place value.

  • What is a decimal number? A decimal number is a number that includes a decimal point. For example, 5.75 is a decimal number.

  • How do you convert a decimal into a fraction? To convert a decimal into a fraction, write the decimal as the numerator and use a power of 10 as the denominator. For example, 0.75 = 75/100, which simplifies to 3/4.

  • What is the formula for the area of a triangle? The area of a triangle is given by the formula: Area = 1/2 × base × height.

  • How do you find the square root of a number? The square root of a number is the value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4 because 4 × 4 = 16.

  • How do you simplify a fraction? To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor. For example, 8/12 simplifies to 2/3.

  • What is a 3D shape? A 3D shape is a three-dimensional object that has length, width, and height. Examples include cubes, spheres, and pyramids.

  • What is the difference between a right angle and an acute angle? A right angle measures exactly 90 degrees, while an acute angle measures less than 90 degrees.

  • What is the formula for the perimeter of a rectangle? The perimeter of a rectangle is calculated by adding the lengths of all four sides. The formula is P = 2 × (length + width).

  • What is the ratio of 5 to 10? The ratio of 5 to 10 is 5:10, which simplifies to 1:2.

  • How do you multiply fractions? To multiply fractions, multiply the numerators and then multiply the denominators. For example, 1/2 × 2/3 = 2/6, which simplifies to 1/3.

  • What is the difference between simple and compound interest? Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal plus any accumulated interest.

  • What is a circle? A circle is a shape with all points at an equal distance from the center.

  • How do you convert a fraction into a percentage? To convert a fraction into a percentage, multiply the fraction by 100. For example, 1/4 = 25%.

  • What is a reflection in geometry? A reflection is a type of transformation where a shape is flipped over a line, creating a mirror image.

  • How do you divide a fraction by a whole number? To divide a fraction by a whole number, multiply the fraction by the reciprocal of the whole number. For example, 1/2 ÷ 3 = 1/2 × 1/3 = 1/6.

  • What is the least common multiple (LCM)? The LCM of two numbers is the smallest number that is a multiple of both. For example, the LCM of 4 and 5 is 20.

  • What is the greatest common divisor (GCD)? The GCD is the largest number that divides both numbers exactly. For example, the GCD of 12 and 15 is 3.

  • How do you convert a percentage into a fraction? To convert a percentage into a fraction, divide the percentage by 100. For example, 25% = 25/100, which simplifies to 1/4.

  • What is the formula for the area of a circle? The area of a circle is given by the formula: Area = π × radius².

  • What is the difference between a square and a rectangle? A square has all four sides equal, while a rectangle has opposite sides equal.

  • How do you calculate the time it takes for an event to occur? Time can be calculated by dividing the distance by speed. For example, if you travel 100 km at a speed of 50 km/h, it will take 2 hours.

  • What is the sum of the angles in a quadrilateral? The sum of the interior angles of a quadrilateral is always 360 degrees.

  • What is a multiple of a number? A multiple of a number is the result of multiplying that number by an integer. For example, the multiples of 3 are 3, 6, 9, 12, and so on.

  • How do you calculate the perimeter of a triangle? The perimeter of a triangle is the sum of the lengths of all three sides.

  • What is an isosceles triangle? An isosceles triangle has two sides of equal length.

  • What is the difference between a sphere and a circle? A circle is a two-dimensional shape, while a sphere is three-dimensional.

  • What is the formula for the area of a parallelogram? The area of a parallelogram is given by the formula: Area = base × height.

  • How do you divide a decimal by a whole number? To divide a decimal by a whole number, divide as you would with whole numbers and place the decimal point in the quotient.

  • What is a 90-degree angle called? A 90-degree angle is called a right angle.

  • What is the definition of a polygon? A polygon is a closed figure with straight sides. Examples include triangles, quadrilaterals, and pentagons.

  • How do you add two fractions? To add fractions, first make the denominators the same and then add the numerators. For example, 1/2 + 1/3 = 5/6.

  • What is a diameter of a circle? The diameter of a circle is the straight line that passes through the center and touches both sides of the circle.

  • What is the formula for the volume of a rectangular prism? The volume of a rectangular prism is calculated by multiplying the length, width, and height.

  • What is an acute triangle? An acute triangle is a triangle where all the angles are less than 90 degrees.

Top Indian Books for NCERT Solutions for Class 6 Maths

  1. NCERT Class 6 Maths Solutions" by R.S. Aggarwal
    Publication: S. Chand & Company
    Content: This book includes step-by-step solutions for all the exercises in the NCERT Class 6 Maths book. It offers detailed explanations for concepts like fractions, decimals, and geometry, ensuring clarity for young learners. The questions range from basic to challenging, with an emphasis on problem-solving skills.

  2. "Mathematics for Class 6" by R.D. Sharma
    Publication: Dhanpat Rai Publications
    Content: This book provides in-depth explanations and solutions for each chapter in the NCERT curriculum. The problems are framed to enhance logical thinking and reasoning, helping students grasp the fundamentals of arithmetic, geometry, and algebra.

  3. "NCERT Solutions for Class 6 Mathematics" by Arihant Experts
    Publication: Arihant Publications
    Content: The book provides comprehensive solutions for every exercise in the NCERT Maths textbook. Each solution is accompanied by easy-to-understand explanations, ensuring that even complex topics like integers and measurements become accessible.

  4. "Class 6 Mathematics Solution" by Xam Idea
    Publication: Xam Idea
    Content: Xam Idea’s solutions focus on clarity and simplicity. It includes a range of questions for each chapter, categorizing them into easy, moderate, and difficult levels. The book is a great tool for students preparing for exams and improving conceptual understanding.

  5. "NCERT Solutions Class 6 Maths" by Oswal Publishers
    Publication: Oswal Publishers
    Content: This book offers a systematic approach to solving all the exercises from the NCERT Class 6 Maths textbook. The book includes solved examples, tips, and tricks for better problem-solving strategies.

  6. "All in One Class 6 Mathematics" by Rachna Sagar
    Publication: Rachna Sagar
    Content: The book is designed to provide solutions for both the NCERT textbook and additional practice questions. It covers concepts in number system, ratios, and geometry with clear solutions and helps in building a strong foundation for higher studies.

  7. "Mathematics Class 6" by P.L. Soni
    Publication: S. Chand & Company
    Content: This book contains NCERT solutions along with extra practice questions to enhance problem-solving abilities. The chapters cover topics such as multiplication, division, and understanding shapes, with an emphasis on clarity and practice.

  8. "NCERT Solutions for Class 6 Mathematics" by Bright Publications
    Publication: Bright Publications
    Content: The book features a concise and clear presentation of all NCERT exercises. It is particularly helpful for visual learners, as the book includes diagrams and illustrations to explain concepts.

  9. "Class 6 Mathematics: NCERT Solutions" by Target Publications
    Publication: Target Publications
    Content: This solution book covers all topics of Class 6 Maths with detailed solutions. It offers practice questions that strengthen skills in areas such as fractions, decimals, and basic geometry, allowing for thorough revision.

  10. "Mathematics for Class 6: NCERT Solutions" by Madhubun Educational Books
    Publication: Madhubun Educational Books
    Content: The book features solutions for every exercise in the NCERT textbook. Its content is divided into chapters like ratio and proportion, time and measurement, and algebraic expressions, with clear, well-structured solutions.

  11. "Class 6 Maths Solutions: NCERT" by Krishna Prakashan Media
    Publication: Krishna Prakashan Media
    Content: This book is known for its easy-to-understand explanations and extensive collection of practice problems. It covers topics in number systems, geometry, and algebra, making it an ideal reference for exam preparation.

  12. "Class 6 Math Solutions" by Vedantu
    Publication: Vedantu
    Content: This book provides interactive learning and step-by-step solutions for NCERT Maths problems. The book encourages self-learning with practice exercises and conceptual questions that boost analytical skills.

  13. "NCERT Solutions Class 6 Mathematics" by S. K. Gupta
    Publication: Gupta Publications
    Content: Known for its clear and concise solutions, this book covers all the exercises in the NCERT book. It includes explanations for concepts in measurements, data handling, and arithmetic, providing solid preparation for exams.

  14. "Class 6 Mathematics Solutions" by Ratna Sagar
    Publication: Ratna Sagar
    Content: This book is a valuable guide for understanding Class 6 Maths concepts. It includes solutions, additional practice questions, and tips on topics like geometric shapes, angles, and fractions.

  15. "NCERT Solutions for Class 6: Mathematics" by Simple Learning
    Publication: Simple Learning
    Content: The book provides simplified solutions to all NCERT exercises. It includes diagrams and tips to understand complex topics like division, addition, and fractions.

  16. "Class 6 Maths: Solutions and Practice" by Success Books
    Publication: Success Books
    Content: This solution book offers practice problems alongside detailed explanations for each concept in the NCERT curriculum. It is perfect for students seeking to strengthen their foundation in basic mathematics.

  17. "Comprehensive NCERT Solutions for Class 6 Maths" by Satish Publications
    Publication: Satish Publications
    Content: This book provides easy-to-follow solutions with step-by-step explanations. It covers all the chapters with additional exercises for practice, especially focusing on topics like number systems and basic geometry.

  18. "Class 6 Maths Solutions" by Bharti Bhawan
    Publication: Bharti Bhawan
    Content: The book features solutions for all NCERT exercises with a focus on clarity and detailed solutions. It helps students master various concepts such as fractions, percentages, and geometry.

  19. "Complete NCERT Solutions for Class 6 Maths" by Divya Publications
    Publication: Divya Publications
    Content: This comprehensive solution book covers every chapter of the NCERT textbook. It includes examples, easy-to-understand explanations, and practice problems to help reinforce students’ understanding.

  20. "Class 6 NCERT Solutions: Mathematics" by Vikas Publishing
    Publication: Vikas Publishing
    Content: This solution book is known for its clear presentation and detailed explanations of each chapter. It covers topics like time, money, and measurement, with numerous exercises for practice.


The NCERT solutions for Class 6 Maths are designed to build a solid foundation in mathematical concepts. These solutions are structured to help students not only complete their homework but also develop a deeper understanding of core principles. The textbooks for this class introduce students to a variety of topics, including basic arithmetic, algebra, geometry, and data handling.

The solutions to these exercises are formulated in a way that allows students to practice step-by-step, reinforcing their learning at every stage. Most solution books provide detailed explanations that ensure clarity, even for complex topics like fractions, decimals, and geometric shapes.

When students face difficulties in understanding the content, these solutions can be an invaluable resource, offering easy-to-understand methods and shortcuts for solving problems. By practicing regularly, students gain confidence, helping them perform better during exams. Many solution books also include additional problems that go beyond the NCERT exercises, encouraging students to explore the subject further.

The best NCERT solution books for Class 6 are those that offer clarity and a wide variety of exercises. They should have a focus on visual learning, as many students benefit from diagrams and illustrations when studying geometry. Some books even provide online resources or interactive sections that engage students in active learning, which can be particularly beneficial for children who prefer a more hands-on approach.

Each solution book provides an explanation for the problems in a logical sequence, breaking down complex concepts into manageable pieces. The questions range from basic to advanced, allowing students to gradually build their problem-solving abilities. Regular practice from these books ensures that students do not just memorize formulas but also understand their applications in real-life situations.

In addition to problem-solving, these solution books promote analytical thinking, encouraging students to approach each question methodically.

 


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