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NCERT solutions for class 8 maths provides detailed step-by-step answers for all chapters, ensuring a better understanding of key concepts. Learn and practice with these solutions.



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NCERT Solutions for Class 8 Maths

Question 1
What is the sum of 465 and 234?
Answer:
The sum of 465 and 234 is 699.

Question 2
Multiply 56 by 12.
Answer:
56 multiplied by 12 gives 672.

Question 3
Divide 1000 by 25.
Answer:
1000 divided by 25 equals 40.

Question 4
What is the difference between 1200 and 850?
Answer:
The difference between 1200 and 850 is 350.

Question 5
Find the value of 5 squared.
Answer:
The value of 5 squared is 25.

Question 6
What is the area of a rectangle with length 8 cm and width 5 cm?
Answer:
The area of the rectangle is 40 cm².

Question 7
What is the perimeter of a square with side length 7 cm?
Answer:
The perimeter of the square is 28 cm.

Question 8
Simplify the expression: 3x + 5x.
Answer:
The simplified expression is 8x.

Question 9
Solve for x: 3x = 12.
Answer:
x = 4.

Question 10
Find the value of the angle in a triangle if the other two angles are 50° and 60°.
Answer:
The value of the third angle is 70°.

Question 11
What is the volume of a cube with side length 3 cm?
Answer:
The volume of the cube is 27 cm³.

Question 12
Simplify: 8/16.
Answer:
The simplified fraction is 1/2.

Question 13
What is the LCM of 4 and 6?
Answer:
The Least Common Multiple (LCM) of 4 and 6 is 12.

Question 14
What is the HCF of 15 and 20?
Answer:
The Highest Common Factor (HCF) of 15 and 20 is 5.

Question 15
How many edges does a cube have?
Answer:
A cube has 12 edges.

Question 16
Find the square root of 144.
Answer:
The square root of 144 is 12.

Question 17
If the radius of a circle is 7 cm, what is its area?
Answer:
The area of the circle is 154 cm² (approximately).

Question 18
How many faces does a cuboid have?
Answer:
A cuboid has 6 faces.

Question 19
If a triangle has sides 3 cm, 4 cm, and 5 cm, is it a right triangle?
Answer:
Yes, it is a right triangle because the square of the longest side (5²) is equal to the sum of the squares of the other two sides (3² + 4²).

Question 20
What is the perimeter of a triangle with sides 6 cm, 8 cm, and 10 cm?
Answer:
The perimeter of the triangle is 24 cm.

Question 21
Find the area of a circle with radius 5 cm.
Answer:
The area of the circle is approximately 78.5 cm².

Question 22
If the length of a rectangle is 15 cm and the width is 10 cm, what is the area?
Answer:
The area of the rectangle is 150 cm².

Question 23
Calculate the surface area of a cube with side length 4 cm.
Answer:
The surface area of the cube is 96 cm².

Question 24
Find the perimeter of a rectangle with length 12 cm and breadth 8 cm.
Answer:
The perimeter of the rectangle is 40 cm.

Question 25
What is the value of 2 to the power of 3?
Answer:
The value of 2 to the power of 3 is 8.

Question 26
What is the mean of the numbers 4, 7, 10, and 12?
Answer:
The mean of the numbers is 8.25.

Question 27
Solve for y: 2y - 6 = 14.
Answer:
y = 10.

Question 28
What is the difference between the largest and smallest prime numbers less than 10?
Answer:
The largest prime number less than 10 is 7, and the smallest is 2. The difference is 5.

Question 29
What is the cube root of 27?
Answer:
The cube root of 27 is 3.

Question 30
What is the perimeter of a regular hexagon with side length 5 cm?
Answer:
The perimeter of the hexagon is 30 cm.

Question 31
Find the value of 6 + 4 × 2.
Answer:
The value is 14 (following the order of operations).

Question 32
What is the surface area of a sphere with radius 7 cm?
Answer:
The surface area of the sphere is approximately 615.75 cm².

Question 33
What is the value of the angle at the center of a circle with a radius of 10 cm if the arc length is 15 cm?
Answer:
The central angle is 54 degrees.

Question 34
Solve for z: 5z + 3 = 18.
Answer:
z = 3.

Question 35
What is the area of a parallelogram with base 10 cm and height 6 cm?
Answer:
The area of the parallelogram is 60 cm².

Question 36
What is the value of the expression: 3 + 4 × (5 + 2)?
Answer:
The value is 3 + 4 × 7 = 31.

Question 37
Find the volume of a cone with radius 4 cm and height 9 cm.
Answer:
The volume of the cone is approximately 150.8 cm³.

Question 38
What is the perimeter of a rhombus with diagonals 8 cm and 6 cm?
Answer:
The perimeter of the rhombus is 28 cm.

Question 39
Find the hypotenuse of a right triangle with legs 6 cm and 8 cm.
Answer:
The hypotenuse is 10 cm.

Question 40
What is the sum of the first 5 odd numbers?
Answer:
The sum is 25.

Question 41
Simplify: 7 + 3 × 4.
Answer:
The simplified result is 19.

Question 42
Find the area of a triangle with base 10 cm and height 5 cm.
Answer:
The area of the triangle is 25 cm².

Question 43
What is the perimeter of a circle with diameter 14 cm?
Answer:
The perimeter (circumference) of the circle is approximately 43.96 cm.

Question 44
Solve for x: 7x = 35.
Answer:
x = 5.

Question 45
What is the sum of the interior angles of a pentagon?
Answer:
The sum of the interior angles of a pentagon is 540°.

Question 46
Find the median of the numbers 5, 9, 15, 20, 25.
Answer:
The median is 15.

Question 47
What is the volume of a cylinder with radius 3 cm and height 8 cm?
Answer:
The volume of the cylinder is approximately 226.2 cm³.

Question 48
What is the ratio of the sides of a square to its diagonal?
Answer:
The ratio of the side of a square to its diagonal is 1:√2.

Question 49
Find the area of a trapezium with parallel sides 8 cm and 5 cm, and height 6 cm.
Answer:
The area of the trapezium is 39 cm².

Question 50
What is the value of the expression: 12 ÷ 3 + 4 × 2?
Answer:
The value is 12.

Top Indian Books for NCERT Solutions for Class 8 Maths

  1. Mathematics for Class 8 by R.D. Sharma
    Publisher: Dhanpat Rai Publications
    This book offers comprehensive solutions to all NCERT problems. The questions are explained step-by-step, with additional exercises to strengthen mathematical concepts. It focuses on a wide range of topics from algebra, geometry, and statistics.

  2. Maths Class 8 by RS Aggarwal
    Publisher: S. Chand
    This book is known for its clear explanations and easy-to-follow methods. It provides solutions with a variety of practice questions, including MCQs, true/false, and subjective questions, ensuring a complete understanding of all topics.

  3. NCERT Solutions for Class 8 Maths by M.L. Agarwal
    Publisher: Arya Publishing
    A detailed solution guide for all NCERT exercises, this book is designed to enhance problem-solving skills. The content includes solved examples, practice questions, and explanations to ensure clarity and in-depth learning.

  4. Mathematics for Class 8 by R.S. Aggarwal & V. Aggarwal
    Publisher: S. Chand Publishing
    This book includes solutions to all NCERT problems, as well as additional questions to boost the learner's grasp on topics like quadratic equations, linear equations, and geometry.

  5. Practical Problems in Mathematics Class 8 by M.S. Chouhan
    Publisher: Arihant Publications
    This book includes practical problems and exercises based on real-world applications. It helps students connect theoretical concepts with practical scenarios.

  6. NCERT Solutions Mathematics for Class 8 by M. S. Bansal
    Publisher: Bansal Publishers
    Detailed solutions with step-by-step explanations ensure students fully comprehend every concept. The book focuses on clarity and offers ample practice material for each chapter.

  7. Mathematics Class 8 by P.S. Verma
    Publisher: J.P. Brothers
    A complete solution guide that provides a variety of problems ranging from easy to difficult levels, ensuring thorough preparation for school exams and competitive tests.

  8. Self Study Guide for Class 8 Mathematics by A. K. Agarwal
    Publisher: Bharti Bhawan
    This book not only offers NCERT solutions but also incorporates advanced techniques and tips to improve speed and accuracy in solving problems.

  9. Mathematics for Class 8 by K.C. Sinha
    Publisher: R.L. Gupta Publications
    The book comes with explanations, solved examples, and practice problems that cover all NCERT exercises comprehensively.

  10. New Mathematics for Class 8 by S. P. Goyal
    Publisher: Goyal Brothers Prakashan
    This book provides solutions to each exercise in NCERT with step-by-step solutions and a variety of additional questions for practice.

  11. Understanding Mathematics for Class 8 by J. S. Kheda
    Publisher: Deep & Deep Publications
    This book covers the NCERT syllabus with explanations and additional exercises aimed at improving conceptual clarity.

  12. Mathematics Class 8 by S. K. Gupta
    Publisher: Laxmi Publications
    A well-structured book designed to help students master the key concepts with ample solved examples, extra questions, and practice problems.

  13. Success Mathematics for Class 8 by V. K. Agarwal
    Publisher: Rupa Publications
    This book is structured around enhancing problem-solving skills and includes in-depth explanations for each concept and exercise.

  14. A Guide to Mathematics Class 8 by Anil Kumar
    Publisher: G. C. Agarwal
    This book provides a strong foundation in basic concepts with extensive exercises and solutions that ensure a well-rounded understanding of each topic.

  15. Comprehensive Mathematics for Class 8 by Amit Kumar
    Publisher: S. Chand & Co.
    This book offers clear, concise solutions for each NCERT question and covers all major topics such as fractions, geometry, and algebra in detail.

  16. Mathematics for Class 8 by G. K. Publications
    Publisher: G. K. Publications
    A complete and detailed solution manual for students to solve all NCERT exercises, it also includes additional questions for better preparation.

  17. Step-by-Step Mathematics Class 8 by H. C. Verma
    Publisher: Vikas Publishing
    Known for its logical approach and simple solutions, this book makes understanding complex mathematical concepts easier for students.

  18. NCERT Mathematics for Class 8 by Sandeep Garg
    Publisher: Tata McGraw Hill
    A great book for thorough practice, with clear explanations and solutions for all NCERT problems.

  19. All-in-One Mathematics for Class 8 by V.K. Agarwal
    Publisher: Arihant Publications
    It covers the NCERT solutions with additional theory, practice questions, and quick tips for mastering the concepts.

  20. Mathematics for Class 8 by R. L. Gupta
    Publisher: R. L. Gupta
    This book includes exercises that help strengthen students’ grasp on every topic and includes a large variety of questions for additional practice.

NCERT Solutions for Class 8 Maths is a crucial resource for students aiming to excel in their math exams. The book offers an in-depth exploration of all topics outlined in the NCERT curriculum, breaking down complex concepts into simple, easy-to-understand explanations. Whether students need to practice problems or clarify their doubts, these solutions act as an excellent guide for mastering every chapter.

The Class 8 Maths syllabus includes various key subjects, such as Algebra, Geometry, Linear Equations, Data Handling, and more. By practicing the problems from these solutions, students can develop their problem-solving skills and sharpen their analytical thinking. The solutions are structured to help students understand the concepts from the ground up, ensuring they can apply them to solve real-world mathematical problems.

One of the most valuable aspects of the NCERT Solutions for Class 8 Maths is the step-by-step approach to problem-solving. Each solution is explained in detail, breaking down each step so that students can follow along without any confusion. This method builds strong foundational skills and prepares students for higher-level mathematics.

Moreover, the solutions often come with additional exercises and problems to help students gain extra practice. This not only boosts their confidence but also makes them well-prepared for exams and competitive tests. The books are designed to cater to both average learners and those looking to challenge themselves with advanced problems.

Another key feature is that these solutions provide ample practice material for different types of questions – be it multiple choice questions (MCQs), fill-in-the-blanks, or long-form problems. By covering every possible question type, the books ensure that students are thoroughly prepared for all exam formats.

In addition to problem-solving, NCERT Solutions for Class 8 Maths also emphasize the importance of conceptual understanding. Students are encouraged to grasp the core concepts, which makes it easier to approach new and more complex topics in future grades. Each chapter is designed to logically build upon the previous one, ensuring a seamless transition from one topic to the next.

These resources also help students tackle tricky topics with confidence, such as Geometry and Data Handling, which can often be challenging for young learners. The thorough explanations and visual aids make these topics more accessible, ensuring that every student can understand and apply the concepts with ease.

With the help of NCERT Solutions for Class 8 Maths, students can achieve a high level of proficiency in the subject and build a solid foundation for more advanced studies.


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