ncert solutions for class 8 maths ch 1 - Get detailed, easy-to-understand solutions for every question in chapter 1, helping you master class 8 maths effortlessly.
In this section, you will find detailed, easy-to-understand solutions for the questions in Chapter 1 of Class 8 Maths. These solutions will guide you step by step, helping you understand the concepts better.
Sample Questions and Answers:
If you add 7 to a number and the result is 15, what is the number?
Answer: The number is 8.
A number is divided by 5, and the quotient is 3. What is the number?
Answer: The number is 15.
If a number is multiplied by 4 and the product is 20, what is the number?
Answer: The number is 5.
Subtract 5 from a number and the result is 10. What is the number?
Answer: The number is 15.
If a number is added to 12 and the sum is 20, what is the number?
Answer: The number is 8.
The perimeter of a rectangle is 48 cm. If the length is 14 cm, what is the width?
Answer: The width is 10 cm.
A train travels at a speed of 60 km/h. How far will it travel in 2 hours?
Answer: It will travel 120 km.
The area of a square is 64 cm². What is the length of one side?
Answer: The length of one side is 8 cm.
If the cost of 1 pen is ₹10, how much will 7 pens cost?
Answer: The cost of 7 pens will be ₹70.
A bottle contains 500 ml of water. How many bottles will be needed to hold 2 liters of water?
Answer: 4 bottles will be needed.
A piece of ribbon is 120 cm long. If it is cut into 6 equal parts, how long is each part?
Answer: Each part is 20 cm long.
If a car travels 50 km in 1 hour, how far will it travel in 3 hours?
Answer: It will travel 150 km.
A box has a length of 12 cm, a width of 5 cm, and a height of 4 cm. What is its volume?
Answer: The volume is 240 cm³.
A rectangle has a length of 8 cm and a width of 6 cm. What is its area?
Answer: The area is 48 cm².
If you divide a number by 3 and the result is 6, what is the number?
Answer: The number is 18.
If a book costs ₹250 and you buy 3 books, what is the total cost?
Answer: The total cost is ₹750.
The length of a side of a square is 10 cm. What is its perimeter?
Answer: The perimeter is 40 cm.
If you subtract 8 from a number and the result is 12, what is the number?
Answer: The number is 20.
If a number is multiplied by 7 and the result is 35, what is the number?
Answer: The number is 5.
A number is divided by 2 and the result is 10. What is the number?
Answer: The number is 20.
A rectangle has a length of 15 cm and a width of 5 cm. What is its perimeter?
Answer: The perimeter is 40 cm.
A triangular park has a base of 10 meters and a height of 5 meters. What is the area of the park?
Answer: The area of the park is 25 square meters.
The length of a rectangle is 18 cm and the width is 9 cm. What is its area?
Answer: The area is 162 cm².
A farmer has 150 apples. If he gives 5 apples to each person, how many people can he give apples to?
Answer: He can give apples to 30 people.
The sum of two numbers is 22. If one number is 7, what is the other number?
Answer: The other number is 15.
A number is multiplied by 6 and the result is 54. What is the number?
Answer: The number is 9.
If a box weighs 12 kg, how much will 8 boxes weigh?
Answer: 8 boxes will weigh 96 kg.
The perimeter of a square is 36 cm. What is the length of one side?
Answer: The length of one side is 9 cm.
If a number is divided by 10 and the result is 4, what is the number?
Answer: The number is 40.
A triangle has a base of 6 cm and a height of 4 cm. What is its area?
Answer: The area is 12 cm².
A car travels at 80 km/h. How long will it take to travel 240 km?
Answer: It will take 3 hours.
The area of a circle is 154 cm². What is the radius of the circle?
Answer: The radius is 7 cm.
The length of a rectangle is 24 cm and the width is 10 cm. What is its area?
Answer: The area is 240 cm².
If a number is subtracted from 30 and the result is 18, what is the number?
Answer: The number is 12.
A box is 5 cm long, 3 cm wide, and 2 cm high. What is its volume?
Answer: The volume is 30 cm³.
A school has 600 students. If 20 students are absent, how many students are present?
Answer: 580 students are present.
The sum of two numbers is 30. If one number is 12, what is the other number?
Answer: The other number is 18.
The perimeter of a square is 48 cm. What is the length of one side?
Answer: The length of one side is 12 cm.
A rectangle has a length of 20 cm and a width of 10 cm. What is its perimeter?
Answer: The perimeter is 60 cm.
A train travels 150 km in 3 hours. What is its speed?
Answer: The speed of the train is 50 km/h.
The length of a rectangle is 25 cm and the width is 5 cm. What is its area?
Answer: The area is 125 cm².
The cost of 1 kg of apples is ₹40. How much will 3 kg cost?
Answer: The cost will be ₹120.
The perimeter of a rectangle is 100 cm. If the length is 30 cm, what is the width?
Answer: The width is 20 cm.
A piece of cloth is 150 cm long. If it is cut into 5 equal parts, what is the length of each part?
Answer: Each part is 30 cm long.
The length of a square is 6 cm. What is its area?
Answer: The area is 36 cm².
A person buys 5 books for ₹50 each. What is the total cost of the books?
Answer: The total cost is ₹250.
If the cost of 1 pen is ₹12, how much will 4 pens cost?
Answer: The cost of 4 pens will be ₹48.
The area of a rectangle is 100 cm². If the length is 25 cm, what is the width?
Answer: The width is 4 cm.
The sum of two numbers is 50. If one number is 20, what is the other number?
Answer: The other number is 30.
A train travels at a speed of 60 km/h. How far will it travel in 4 hours?
Answer: It will travel 240 km.
Top Indian Books for NCERT Solutions for Class 8 Maths Chapter 1
Mathematics for Class 8 by R.S. Aggarwal
Publisher: S. Chand Publishing
Content: This book provides detailed solutions and explanations for a variety of questions in the NCERT Class 8 Maths syllabus. It covers all types of problems, including word problems, algebraic expressions, and geometric concepts.
Class 8 Mathematics by M.L. Agarwal
Publisher: Arya Publishing House
Content: This book focuses on enhancing conceptual understanding with solved examples. It provides a variety of practice problems related to Chapter 1, from simple arithmetic to more complex algebraic equations.
NCERT Solutions Mathematics Class 8 by Dr. K.K. Agarwal
Publisher: New Age International Publishers
Content: It presents a systematic approach to solving problems, offering step-by-step solutions and helping students understand the logic behind each step. Perfect for quick revisions and practice.
Mathematics for Class 8 by R.D. Sharma
Publisher: Dhanpat Rai Publications
Content: This book includes solutions for all the exercises in the NCERT book, along with additional problems to enhance problem-solving skills. It explains Chapter 1’s concepts in a simple, accessible way.
Self-Help to Mathematics Class 8 by M.L. Aggarwal
Publisher: Goyal Brothers Prakashan
Content: This book is designed to make students more independent by providing extra practice questions and answers. It focuses on the importance of logic and reasoning in solving mathematical problems.
Mathematics for Class 8 by S.K. Gupta
Publisher: Laxmi Publications
Content: This book provides clear, concise solutions to the NCERT problems with ample practice questions. The problems in Chapter 1 are addressed in depth, with examples that enhance understanding.
Mathematics Class 8 by Sandeep Garg
Publisher: S. Chand Publishing
Content: This textbook includes NCERT solutions as well as additional practice problems. It is suitable for students looking for an extra challenge with application-based problems that go beyond the NCERT book.
Foundation Mathematics for Class 8 by M.R. Soni
Publisher: R.C. Soni Publications
Content: The book covers all essential topics, including the concepts from Chapter 1, in simple language. It includes questions for practice, with solutions that help students grasp foundational concepts of algebra and geometry.
Mathematics Class 8 by P. S. Verma
Publisher: Pearson India
Content: This book provides clear explanations for all the core concepts found in Chapter 1 of the NCERT book. It includes questions from different difficulty levels, ensuring thorough practice for students.
Trueman’s Mathematics Class 8 by Dr. S.P. Gupta
Publisher: Trueman Publications
Content: Known for its easy-to-follow explanations, this book offers detailed answers to the NCERT exercises, with practice questions to test the depth of understanding.
Target Mathematics for Class 8 by O.P. Agarwal
Publisher: A.P.H. Publishing Corporation
Content: This book is designed for students aiming for higher excellence in mathematics. It includes problems related to algebra, arithmetic, and geometry, offering solutions to all NCERT questions.
Mathematics for Class 8 by R.P. Sharma
Publisher: Rajat Publications
Content: The book provides solutions to all NCERT exercises, along with supplementary questions. It ensures a deep understanding of mathematical principles and enhances students' problem-solving skills.
Comprehensive Mathematics Class 8 by J.C. Arya
Publisher: Laxmi Publications
Content: This book helps students practice a variety of problems, from basic to advanced, with solutions for every exercise. It focuses on problem-solving techniques and critical thinking.
Mathematics Class 8 by V.K. Mehta
Publisher: Ramesh Publishing House
Content: A well-organized book that focuses on both conceptual learning and extensive practice. It includes multiple examples and practice problems to cover Chapter 1 thoroughly.
Learn & Practice Mathematics Class 8 by V.K. Sharma
Publisher: S. Chand Publishing
Content: The book offers detailed answers for all NCERT exercises, as well as plenty of extra questions for additional practice. It is especially useful for students aiming to excel in exams.
Mathematics Class 8 by D.D. Sharma
Publisher: Vishal Publishing Co.
Content: Focused on enhancing problem-solving skills, this book includes comprehensive solutions to all problems in Chapter 1 of the NCERT book, along with relevant application-based exercises.
Mathematics Class 8 by S.N. Arora
Publisher: Pustak Mahal Publications
Content: This book is designed to help students understand the fundamental concepts in mathematics. It includes well-explained solutions and extra practice problems for Chapter 1.
Mathematics Class 8 by C.B. Gupta
Publisher: Modern Publishers
Content: With this book, students can quickly review Chapter 1 and strengthen their understanding of mathematical problems. It provides a good mix of theory and practice questions.
Basic Mathematics for Class 8 by V.P. Soni
Publisher: R.C. Soni Publications
Content: This book gives a strong focus on foundational mathematics, covering basic concepts and offering a wide range of practice questions for Chapter 1.
Mathematics Class 8 by R.K. Bansal
Publisher: S.K. Kataria & Sons
Content: This textbook is known for its precise explanations and step-by-step solutions. It also includes extra practice exercises, ensuring a robust understanding of Chapter 1.
Article: NCERT Solutions for Class 8 Maths Chapter 1
Chapter 1 of NCERT Class 8 Mathematics focuses on Rational Numbers, a fundamental concept in mathematics. It introduces students to the properties and operations related to rational numbers, such as addition, subtraction, multiplication, and division. By understanding these operations, students can handle more complex problems in later chapters with ease.
In this chapter, learners are exposed to both positive and negative rational numbers. They study how to represent rational numbers on a number line, compare their sizes, and perform various arithmetic operations with them. The primary goal is to help students grasp the significance of rational numbers and their application in real-life situations.
One key component of this chapter is Representation on a Number Line. This visual representation helps students better understand the placement and comparison of rational numbers. By learning to plot these numbers, they can grasp the concept of distance between them and the relationship they have with integers.
The chapter also delves into Properties of Rational Numbers. For instance, students learn about closure, commutative, associative, and distributive properties of rational numbers. These properties are not just theoretical; they are put into practice with various exercises that build a deeper understanding of these concepts. For example, when performing addition or subtraction of rational numbers, students are encouraged to apply the rules for like and unlike denominators.
The content is designed to prepare students for both exams and practical application in daily life. The problems vary in complexity, ranging from basic exercises on comparing and arranging rational numbers to more challenging tasks involving their arithmetic operations. Students can develop a solid foundation by solving these problems, which will help them in future chapters and subjects.
A notable feature of the NCERT solutions for Class 8 Maths Chapter 1 is the clear and concise step-by-step solutions. These solutions provide an in-depth explanation of each concept, ensuring that students not only arrive at the correct answer but also understand the reasoning behind it. Teachers and students alike appreciate this approach, as it promotes independent learning and critical thinking.
Moreover, this chapter encourages students to solve problems both individually and collaboratively. Working through different exercises fosters a deeper understanding of the operations, while group study sessions allow for discussion and clarification of doubts. Teachers can use this chapter to emphasize real-life scenarios where rational numbers are applicable, making the subject more engaging and relevant to students.
For those seeking additional practice, there are plenty of reference books and supplementary materials available. These books provide extra problems, explanations, and examples to strengthen students’ comprehension. Each book focuses on making the learning process engaging, with fun exercises and challenging problems that keep students motivated.
By mastering Chapter 1 of NCERT Class 8 Mathematics, students gain not only a clear understanding of rational numbers but also a robust foundation for future math topics. The thoroughness of the content, coupled with engaging problem-solving exercises, ensures students are well-prepared for exams and practical applications of mathematics in real-world scenarios.
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