NCERT Solutions for Class 7 Maths offer detailed explanations and step-by-step solutions to help students master key concepts. These solutions are designed to enhance understanding, making complex topics like algebra, geometry, and fractions easier to grasp. With expert recommendations, they serve as a valuable resource for exam preparation and building a solid mathematical foundation.
NCERT Solutions for Class 7 Maths: A Comprehensive Guide
1. What is the sum of 234 and 456?
The sum of 234 and 456 is 690.
2. Subtract 563 from 798. What is the result?
When you subtract 563 from 798, you get 235.
3. Multiply 12 by 8. What is the product?
The product of 12 and 8 is 96.
4. Divide 144 by 12. What is the quotient?
When you divide 144 by 12, the quotient is 12.
5. If a rectangle has a length of 15 cm and a width of 7 cm, what is its area?
The area of the rectangle is 15 cm × 7 cm = 105 cm².
6. Find the perimeter of a square whose side length is 10 cm.
The perimeter of the square is 4 × 10 cm = 40 cm.
7. What is the value of 3²?
The value of 3² (3 raised to the power of 2) is 9.
8. Convert 5.75 into a fraction.
5.75 can be written as 23/4 in fraction form.
9. Solve for x if 3x + 5 = 20.
To solve for x, subtract 5 from both sides and divide by 3: x = (20 - 5) / 3 = 15 / 3 = 5.
10. Simplify the expression: 2(3x + 4).
When you simplify 2(3x + 4), you get 6x + 8.
11. What is the LCM of 6 and 8?
The LCM of 6 and 8 is 24.
12. Find the HCF of 12 and 15.
The HCF of 12 and 15 is 3.
13. What is the simple interest on a sum of ₹1000 at 5% annual interest for 2 years?
The simple interest is calculated as: Interest = (Principal × Rate × Time) / 100 Interest = (1000 × 5 × 2) / 100 = ₹100.
14. If a circle has a radius of 7 cm, what is its circumference?
The circumference of a circle is calculated as 2πr. So, the circumference is 2 × 3.14 × 7 = 43.96 cm.
15. Find the area of a triangle with a base of 10 cm and a height of 5 cm.
The area of a triangle is given by (base × height) / 2. Area = (10 × 5) / 2 = 25 cm².
16. What is the volume of a cube with a side length of 4 cm?
The volume of a cube is calculated as side³. So, the volume is 4³ = 64 cm³.
17. Convert 3/4 into a decimal.
3/4 is equal to 0.75.
18. What is the difference between the largest and smallest prime numbers between 10 and 20?
The prime numbers between 10 and 20 are 11, 13, 17, and 19. The difference between the largest (19) and smallest (11) is 19 - 11 = 8.
19. What is the average of 12, 15, 20, and 25?
The average is calculated as the sum of the numbers divided by the number of terms. Average = (12 + 15 + 20 + 25) / 4 = 72 / 4 = 18.
20. If the perimeter of a triangle is 30 cm, and the lengths of two sides are 10 cm and 12 cm, what is the length of the third side?
The perimeter is the sum of all sides. So, the third side is 30 - (10 + 12) = 30 - 22 = 8 cm.
10 to 20 Indian Books for NCERT Solutions for Class 7 Maths
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Mathematics for Class 7 by R.S. Aggarwal (S. Chand Publishing)
This book covers all topics from the NCERT syllabus, including fractions, algebra, geometry, and data handling. It provides solved examples, exercises, and practice tests for self-assessment.
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Class 7 Maths by M.L. Aggarwal (Arihant Publications)
A well-structured book with detailed solutions to NCERT problems. It covers topics like integers, rational numbers, and linear equations. Includes practice questions and extra problems for advanced learners.
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Maths Olympiad Class 7 by Dr. P.K. Mittal (Dhanpat Rai Publications)
This book provides an extended range of questions that go beyond the NCERT syllabus. It is useful for students aiming for Math Olympiads. It also includes tips for competitive exams.
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Class 7 Mathematics by R.D. Sharma (Dhanpat Rai & Co.)
Known for clear explanations and step-by-step solutions to every NCERT exercise. The book covers the entire syllabus with focus on real-life applications of mathematics.
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ICSE Mathematics Class 7 by S.K. Gupta and Anubhuti Gangal (Arihant Publications)
While primarily for ICSE students, this book also aligns well with NCERT curriculum. It provides a wide array of practice questions and exercises with thorough solutions.
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Mathematics for Class 7 by R.K. Bansal (Laxmi Publications)
This book includes all NCERT problems with additional questions and solutions. Students can find a variety of practice problems that help reinforce each concept.
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Comprehensive Mathematics for Class 7 by T.M. Aggarwal (Laxmi Publications)
It offers clear explanations and solutions to NCERT exercises. The book is rich with illustrations and examples to make learning engaging for students.
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Mathematics Class 7 by V.K. Agarwal (S. Chand Publishing)
The book is known for its methodical approach to solving NCERT problems and includes extra worksheets for practice, helping students prepare for exams effectively.
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New Mathematics Today for Class 7 by M.L. Aggarwal (Goyal Brothers Prakashan)
This book provides a comprehensive overview of the NCERT Class 7 syllabus with well-structured solutions, additional solved examples, and practice sets.
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Success in Mathematics Class 7 by M.K. Jain (R.C. Jain)
This book is designed to simplify complex concepts with detailed NCERT-based solutions and an extensive set of questions, aimed at boosting exam preparation.
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Mathematics for Class 7 by S.K. Gupta (Arihant Publications)
Along with NCERT solutions, this book contains previous year questions and model papers for better exam practice. It covers the entire syllabus comprehensively.
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Mathematics for Class 7 by P.K. Agarwal (S. Chand Publishing)
An excellent guide that includes NCERT solutions, logical problem-solving techniques, and a variety of application-based exercises for deeper understanding.
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Class 7 Mathematics by R.S. Aggarwal (S. Chand Publishing)
Provides solutions to NCERT problems with a focus on conceptual clarity. Each chapter is accompanied by a set of objective and subjective questions for practice.
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Mathematics for Class 7 by D.R. Sharma (Madhuban Educational Books)
With a focus on a balanced approach to theory and practice, this book helps students build a strong foundation in maths with clear explanations of NCERT exercises.
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R.S. Aggarwal’s Mathematics for Class 7 (S. Chand Publishing)
Offers detailed explanations for each topic covered in the NCERT curriculum, making it an ideal resource for homework help and exam preparation.
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Target Mathematics for Class 7 by D.K. Khatri (Target Publications)
This book includes NCERT solutions along with additional examples and exercises. It also offers keynotes to highlight essential concepts for exam revision.
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Mathematics Class 7 by A. B. Roy (Vikas Publishing)
This resource gives clear explanations of all NCERT topics with step-by-step solutions. It includes practice problems for continuous learning.
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Mathematics for Class 7 by M.S. Shukla (Laxmi Publications)
This book includes NCERT solutions along with plenty of exercises that help students understand both basic and advanced mathematical concepts in depth.
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Mathematics for Class 7 by S.K. Kapoor (New Age International)
The book contains clear and concise solutions to every NCERT exercise. In addition, it covers various extra questions to help students advance in their studies.
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Mathematics Class 7 by R.P. Dholakia (Vikas Publishing)
This book offers detailed solutions to NCERT problems, with extra practice questions and exam-oriented material to ensure thorough understanding and preparation.
NCERT solutions for Class 7 Maths are an essential resource for students looking to master the subject and secure good marks in exams. The NCERT books follow a structured approach, aligning perfectly with the CBSE syllabus. These solutions not only help students understand key concepts but also guide them in solving problems efficiently.
The subject of mathematics can seem intimidating, but the NCERT solutions for Class 7 aim to break down complex topics into digestible chunks. With clear step-by-step explanations, these solutions help students grasp concepts such as fractions, algebra, geometry, and data handling. Each chapter of the NCERT Maths book is paired with problems, which are then solved in detail, ensuring students can follow along easily.
One of the key benefits of NCERT solutions is their ability to simplify tricky mathematical concepts. The examples are carefully chosen to cover every concept, and the problems are designed to test both basic knowledge and deeper understanding. From operations on integers to simple linear equations, students can find clear solutions for each topic in the Class 7 syllabus.
Additionally, these solutions provide various types of questions including objective-type questions, short-answer questions, and long-answer questions. This ensures a well-rounded approach to learning, giving students ample opportunity to practice. Regular practice with NCERT solutions enables students to perform well in exams and helps them prepare for various competitive exams in the future.
Moreover, the NCERT solutions for Class 7 Maths emphasize the application of concepts in real-life situations. For instance, students may be asked to apply their understanding of ratios and proportions to solve problems related to daily activities, like cooking or shopping. This not only makes learning fun but also shows the practical utility of mathematics.
By following these solutions and practicing regularly, students develop a deeper understanding of the subject. NCERT solutions are often recommended by teachers for self-study as they contain both the theory and the practice material required to excel in mathematics.
Lastly, NCERT solutions for Class 7 Maths act as a perfect revision tool before exams. Students can revise chapters quickly by going through solved examples and practice exercises. With its clarity and depth, the NCERT Maths book with solutions is an indispensable resource for all students aiming to strengthen their mathematical foundation.