class 7 assignment maths answers english medium

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NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF Download

The NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals covers all the exercises included in the textbook. By referring to the Chapter 2 Fractions and Decimals Maths questions, students can easily understand each and every step so that they can build their problem-solving skills as well as comprehension skills which is a must to score good marks.

The NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals are well structured and systematic so that students can get an overall viewpoint of the important questions. By referring to the important questions of Chapter 2 Fractions and Decimals, students can improve their confidence level which can be implemented in the Maths final exam. 

NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF

If students are looking for accurate and comprehensive answers then they can prefer utilising the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF. Students generally prefer utilising the NCERT Solutions after solving the Chapter 2 Fractions and Decimals Maths questions so that they can match their answers and accordingly they can work upon. Students can refer to the NCERT Solutions of Chapter 2 Fractions and Decimals from the Selfstudys from their comfort zone. 

How to Download the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals?

To download the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals, students need to follow the given steps, those steps are: 

• Visit the Selfstudys website. 

• Bring the arrow towards NCERT Books & Solutions. 

• A drop down menu will appear, select NCERT Solutions from the list. 

• A new page will appear, select Class 7 from the list of classes. 
• Click Maths from the list of classes. 
• Again a new page will appear, select Chapter 2 Fractions and Decimals from the list of classes. 

Features of NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF

It is advisable for students to know everything about the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF; those important features are discussed below: 

• Diagrams and Illustrations are Included: In the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals, diagrams and illustrations are included like wherever there is a need so that students can visualise the concepts well. 
• Answers are Included: Inside the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals revision, answers of all the NCERT questions are included so that students can understand the steps easily. 
• Provides Practise Questions: Students can easily practise questions from the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals theory as it is already available in it. By practising questions of Class 7 Maths, students can easily improve their problem solving skills. 
• Easy to Understand the Language: The Class 7 Maths language used in the NCERT Solutions are very easy to understand so that students can easily understand the questions and answers well. 
• All Topics are Covered: In the NCERT Class 7 Maths Solutions, all the topics of Chapter 2 Fractions and Decimals are covered so that students don’t miss out on any of the topics. 
• Step Wise Solutions are Given: All the questions of Chapter 2 Fractions and Decimals of Class 7 Maths are explained in a stepwise manner so that students can easily understand each and every step. 

What Are the Advantages of NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals?

The NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals provides several benefits to students; some of the benefits are discussed below: 

• Covered in a Comprehensive Way: Topics in the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals revision are covered in a comprehensive way so that students can understand all the chapters in a proper way. 
• Reduces Number of Mistakes: By practising more and more questions from the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals theory, students can learn to reduce the number of mistakes then and there. 
• Understands Concepts Better: By referring to the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF, students can understand the concepts in a better way.
• Make More Confidence: Solving maximum number of Class 7 Maths questions from the NCERT Solutions can help students to improve their problem solving skills and accordingly they can improve their confidence level. 
• Can Maintain Accuracy: Accuracy is considered to be closeness of the answers; students can easily maintain the accuracy by solving questions of Chapter 2 Fractions and Decimals from the NCERT Class 7 Maths Solutions. 
• Improves Problem Solving Skills: It is the ability to identify the problem and to analyse the answers so that students can score well; students can maintain their accuracy level by solving Chapter 2 Fractions and Decimals questions from the NCERT Class 7 Maths Solutions. 

How to Utilise NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF in an Effective Way? 

Here are some tips for students to follow so that they can utilise the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF in an effective way; those tips are discussed below: 

• Read the Chapter: Before attempting the questions from the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals, students need to read the chapter in a proper way so that they can understand the concepts and formulas in a better way. 
• Solve the Problems On Your Own: Students are advised to solve the problems of NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals theory so that they can know their strengths and weaknesses.  
• Check the Answers: After attempting questions from the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF, students need to check the answers. This will help students to understand the mistakes made while solving questions of Maths Chapter 2 Fractions and Decimals so that they can understand the correct method. 
• Understand the Logic Behind the Each Step: While referring to the NCERT Class 7 Maths Solutions, students should make sure that they have understood the logic behind each and every step. 
• Practise Questions on a Regular Basis: Students need to solve more questions of Chapter 2 Fractions and Decimals Maths from Class 7 NCERT Solutions on a regular basis so that they can retain it in their memory. 
• Revise Regularly: It is advisable for students to revise the Chapter 2 Fractions and Decimals topics and concepts on a regular basis so that students can solve questions from the NCERT Class 7 Maths Solutions. 

Who Can Benefit from NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals?

The NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals can benefit wide range of students; those are: 

• Class 7 Students: The NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals revision are designed in such a way that students can understand the topics in a better way and accordingly they can solve the problems on their own. 
• Competitive Exam Aspirants: Students who are preparing for competitive exam aspirants can go through the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals theory so that they can build a strong foundation. 
• Teachers and Tutors: Teachers and tutors can also utilise the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF so that they can easily understand the concepts without any complexity. The answers of Class 7 Maths questions are explained in a step by step approach so that students can understand it better. 
• Students Who Need Additional Practice: Students who want extra practice of Class 7 Maths Chapter 2 Fractions and Decimals as well as a strong foundation can use the NCERT Solutions so that they can build their own strategy. 
• Students Struggling With The Chapter: Students who find Chapter 2 Fractions and Decimals of Class 7 Maths difficult can utilise the NCERT Solutions so that they can eliminate the difficulty. 
• Students Who Need Self Study: The NCERT Class 7 Maths Solutions are considered to be the best study resources as it helps students in studying on their own. 

When Is the Best Time to Use NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals?

The best time to use the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals really depends on the student’s preferences and student’s way of learning; some of the scenarios are discussed below: 

• After Completing the Chapter: Once students have the basic understanding of the Chapter 2 Fractions and Decimals in the Class 7 Maths syllabus, they can start practising questions from the NCERT Solutions.  
• After Attempting the Questions: After attempting the Chapter 2 Fractions and Decimals questions on their own, students can refer to the NCERT Class 7 Maths Solutions on their own so that they can know the correct method of solving. 
• While Preparing: The NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals revision can be utilised while preparing so that students can strengthen their understanding level.
• To Revise: Students can prefer utilising the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals theory so that they can quickly revise the concepts. 
• To Complete Homework: If students want to complete the Maths Chapter 2 Fractions and Decimals from the Class 7, then they can prefer utilising the NCERT Solutions. 
• To Improve Problem Solving Skills: If in case, a student's problem solving skills is weak then he or she can prefer utilising the NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals PDF. 

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NCERT Solutions for Class 7 Maths Chapter 1 Integers

NCERT Solutions for Class 7 Maths Chapter 1 Integers and Class 7 Maths Chapter 1 Try These Solutions in Hindi and English Medium modified and updated for academic year 2024-25. According to new syllabus and latest textbooks for new session 2024-25, there are only three exercises in chapter 1 of class 7th mathematics.

Class 7 Maths Chapter 1 Solutions in English Medium

• Class 7 Maths Chapter 1 Try These
• Class 7 Maths Exercise 1.1 in English
• Class 7 Maths Exercise 1.2 in English
• Class 7 Maths Exercise 1.3 in English

Practicing math concepts like integers from Class 7 can be very beneficial for understanding and mastering the topic. Here’s a step-by-step guide on how to effectively practice Class 7 Maths Chapter 1 Try These Integers. Preparing Class 7 Maths Chapter 1 (Integers) NCERT solutions involves a structured approach to understanding the concepts, solving problems, and creating clear explanations for students. Pay attention to definitions, examples, and the types of problems presented.

Class 7 Maths Chapter 1 Solutions in Hindi Medium

• Class 7 Maths Exercise 1.1 in Hindi
• Class 7 Maths Exercise 1.2 in Hindi
• Class 7 Maths Exercise 1.3 in Hindi
• Class 7 Maths Chaper 1 in Videos
• Class 7 Maths Chapter 1 NCERT Book
• Class 7 Maths Solutions Page
• Class 7 all Subjects Solutions

Make sure you have a clear understanding of the basic concepts of integers, including positive and negative numbers, number line, absolute value, and addition/subtraction of integers. Integers are the central focus of this chapter. Make sure you have a clear understanding of what integers are, how they are represented on a number line, and their properties. Break down the chapter into key concepts and topics. These may include positive and negative integers, addition and subtraction of integers, and properties of integers. Read through the chapter in your textbook. Pay close attention to explanations, examples, and any solved problems.

Work through the practice exercises provided in the NCERT textbook. Solve the problems step by step to ensure you understand the process. Write down the step-by-step solutions for each type of problem. Make sure to explain each step clearly, addressing any potential difficulties students might face. Integers can be represented on a number line. Include diagrams and number lines to visually explain concepts, especially when discussing positive and negative integers.

Integers have real-life applications, like representing temperature, bank balances, and distances. Include relatable examples to help students connect the concept to their daily experiences. Anticipate common mistakes students might make and provide explanations to help them avoid these errors. Include a variety of problems, from basic to more complex, to challenge students’ understanding and problem-solving skills. Integers have certain rules for addition, subtraction, multiplication, and division. Note down these rules for quick reference.

7th Maths Exercise 1.1, Exercise 1.2 and Exercise 1.3 in English Medium and Prashnavali 1.1, Prashnavali 1.2 and Prashnavali 1.3 in Hindi Medium free to download in PDF format for new academic session. CBSE NCERT (https://ncert.nic.in/) Solution are given in simplified format. Videos related to each exercises are also given for better understanding. You can use NCERT solutions 2024-25 online or download in PDF file format without any login or password. Class 7 Maths solutions apps for online as well as offline use are also given free to download. Regular practice is key to mastering any math topic. Dedicate a specific amount of time each day for practicing integer-related problems. In videos, all the questions are described using proper properties of integers. The language of description is kept easy so that everyone can understand easily. For any inconvenience, contact us for help.

NCERT Solutions App for Class 7

Review your solutions for accuracy, clarity, and coherence. Ensure your explanations are in line with the language and understanding of Class 7 students. Begin with easy problems and gradually move on to more complex ones. This will help you build confidence and progressively develop your skills. Format your solutions in a clear and organized manner. Use appropriate fonts, spacing, and headings to make the solutions easy to read. Proofread your solutions for any grammatical or typographical errors. Well-presented solutions enhance the learning experience.

If relevant, provide additional notes or tips for teachers and parents to assist them in explaining concepts effectively to students. Test your solutions with a few students or educators to get feedback. This helps ensure that your solutions are clear and understandable. Remember that the goal is to make Class 7 Maths Chapter 1 Integers NCERT solutions accessible, comprehensive, and engaging for students. Work through the example problems given in your textbook. These problems are designed to illustrate the concepts discussed in the chapter. The solutions should help students grasp the concepts, develop problem-solving skills, and build a strong foundation in mathematics.

NCERT Books for class 7 and CBSE Solutions 2024-25 for other subjects are also available for free download. We have prepared the Solutions in the simplified format so that students can understand easily. Look for additional practice worksheets, online resources, or apps that offer integer-related problems. Many educational websites and apps provide interactive quizzes and exercises. Invent your own integer problems based on real-life scenarios or mathematical concepts. Solving self-created problems can deepen your understanding of the subject. Class 7 Maths Chapter 1 solutions are given below in Hindi and English Medium.

Class 7 Maths Chapter 1 Important Questions

At srinagar temperature was c on monday and then it dropped by c on tuesday. what was the temperature of srinagar on tuesday on wednesday, it rose by c. what was the temperature on this day.

On Monday, temperature at Srinagar = –5 oC On Tuesday, temperature dropped = 2 oC Temperature on Tuesday = –5 oC – 2 oC = –7 oC On Wednesday, temperature rose up = 4oC Temperature on Wednesday = –7 oC + 4 oC = –3 oC Thus, temperature on Tuesday and Wednesday was –7 oC and –3 oC respectively.

A plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?

Height of a place above the sea level = 5000 m Floating a submarine below the sea level = 1200 m The vertical distance between the plane and the submarine = 5000 + 1200 = 6200 m Thus, the vertical distance between the plane and the submarine is 6200 m.

Mohan deposits ₹2,000 in his bank account and withdraws ₹1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s accounts after the withdrawal?

Deposit amount = ₹2,000 and Withdrawal amount = ₹1,642 Balance = 2,000 – 1,642 = ₹358 Thus, the balance in Mohan’s account after withdrawal is ₹ 358.

A certain freezing process requires that room temperature be lowered from 40 oC at the rate of 5 oC every hour. What will be the room temperature 10 hours after the process begins?

Given: Present room temperature = 40 oC Decreasing the temperature every hour = 5 oC Room temperature after 10 hours = 40 oC + 10 x (–5 oC ) = 40 oC – 50 oC = – 10 oC Thus, the room temperature after 10 hours is – 10 oC after the process begins.

A cement company earns a profit of ₹8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold. The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?

Given: Profit of 1 bag of white cement = ₹ 8 And Loss of 1 bag of grey cement = ₹ 5 Profit on selling 3000 bags of white cement = 3000 x ₹ 8 = ₹ 24,000 Loss of selling 5000 bags of grey cement = 5000 x ₹ 5 = ₹ 25,000 Since Profit < Loss Therefore, his total loss on selling the grey cement bags = Loss – Profit = ₹ 25,000 – ₹ 24,000 = ₹ 1,000 Thus, he has lost of `₹1,000 on selling the grey cement bags.

Practice problems involving addition, subtraction, multiplication, and division of integers. Try these word problems and puzzles that require application of integer concepts. Challenge yourself with more complex problems that require critical thinking and a deep understanding of the concepts. This will help you refine your problem-solving skills.

After solving problems, review your answers. Correcting mistakes is an important part of the learning process. If you’re facing difficulties, don’t hesitate to discuss the problems with your classmates, teacher, or parents. Sometimes, a different perspective can clarify things. Don’t overexert yourself. Take short breaks during your practice sessions to keep your mind fresh and focused.

In 7 Mathematics Chapter 1 Integers, we will explore all the operations based on integer properties. Properties of integers on the operations like addition, subtraction, multiplication and division. Take mock tests or create a set of problems to test your understanding. Timed tests can help you practice solving problems under pressure. Schedule regular revision sessions to reinforce your understanding. Revise the concepts, rules, and formulas to keep them fresh in your mind. Remember, consistent practice and a positive attitude towards learning are key factors in succeeding in math. Don’t get discouraged by challenges; instead, view them as opportunities to improve. We have to learn about all the properties like closure, commutative, associative, etc. Integers are Closure under Addition but not under subtraction.

Class 7 Maths Chapter 1 Important Questions for Practice

1. When we divide a positive integer by a negative integer, we first divide them as whole numbers and then put a minus sign (–) before the quotient. That is, we get a negative integer. 2. The product of three integers does not depend upon the grouping of integers and this is called the associative property for multiplication of integers. 3. When we divide a negative integer by a positive integer, we divide them as whole numbers and then put a minus sign (–) before the quotient. We, thus, get a negative integer. 4. Addition is associative for integers, i.e., (a + b) + c = a + (b + c) for all integers a, b and c. 5. Integer 0 is the identity under addition. That is, a + 0 = 0 + a = a for every integer a.

We have prepared Hindi Medium NCERT Solutions for class 7 Maths on the demand of students. Now it is online on website to view online as well as for download. Time to time we modify our website on the basis of student’s suggestions. That is why Class 7 Maths App in English or Kaksha 7 Ganit App in Hindi Medium are developed for offline use.

How many exercises, questions, and examples are there in chapter 1 of class 7th Maths?

According to new syllabus and latest textbooks for session 2024-25, there are three exercises in chapter 1 (Integers) of class 7th Maths. In the first exercise (Ex 1.1), there are 4 questions. Question 1 has three parts, question 2 has three parts, and question 4 has five parts. In the second exercise (Ex 1.2), there are 9 questions. Question 2 has two parts, question 3 has two parts, and question 5 has eight parts. In the third exercise (Ex 1.3), there are seven questions. Question 1 has nine parts, and question 2 has two parts. So, there are in all 20 questions in chapter 1 (Integers) of class 7th Maths. There is a total of 5 examples in chapter 1 (Integers) of class 7th Maths.

What will students study in chapter 1 of class 7th Maths?

In chapter 1 of class 7th Maths, students will study: 1. Properties of integers. 2. Addition and Subtraction of integers. 3. Statement Questions- Addition. 4. Multiplication of integers. 5. Distributive law in integers. 6. Statement Questions- Multiplication. 7. Division of Integers. 8. Statement Questions- Division.

Is chapter 1 of class 7th Maths difficult?

Chapter 1 of class 7th Maths is not easy and not difficult. It lies in the mid of easy and difficult because some parts of this chapter are easy, and some parts are difficult. But, the difficulty level of any chapter varies from child to child. So, Chapter 1 of class 7th Maths is easy or not depends on children also. Some children find it tough, some find it simple, and some find it in the middle of simple and tough.

How much time, students need to do chapter 1 of class 7th Maths?

Students need a maximum of 7-9 days to do chapter 1 of class 7th Maths if they give at least 1-2 hours per day to this chapter. This time is an approximate time. This time can vary because no students have the same working speed, same efficiency, same capability, etc.

Chapter 2: Fractions and Decimals »

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Ncert Solutions for Class 7 MATHS

Do you face problem while solving your class 7 MATHS questions?  With our NCERT MATHS Class 7 Solutions, you will find the subject of MATHS interesting. Class 7 is the beginning of a strong foundation in MATHS as what you practice in this class will help you score more in class 8 and afterwards class 9, etc. Doubtnut experts have prepared step-by-step solutions with detailed explanations. The solutions are present in an exercise-wise manner to help you obtain good marks in the MATHS exam.

The NCERT Solutions for Class 7 MATHS provided by Doubtnut helps you to solve difficult problems easily. Students are suggested to practice NCERT Solutions , which are available in PDF format and video format. It also helps students understand the basic concepts of MATHS easily. NCERT Solutions for Class 7 MATHS are an reliable study resource for CBSE Class 7 students. The questions in the MATHS NCERT textbooks are solved by our experts to improve students’ knowledge and performance in academics.

Students are suggested to practice the NCERT questions to understand the concepts better. Rigorous practice will help you in boosting your confidence to score better marks.

Ncert Syllabus for Class 7 MATHS

• Chapter 1: INTEGERS
• Chapter 2: FRACTIONS AND DECIMALS
• Chapter 3: DATA HANDLING
• Chapter 4: SIMPLE EQUATIONS
• Chapter 5: LINES AND ANGLES
• Chapter 6: THE TRIANGLE AND ITS PROPERTIES
• Chapter 7: CONGRUENCE OF TRIANGLES
• Chapter 8: COMPARING QUANTITIES
• Chapter 9: RATIONAL NUMBERS
• Chapter 10: PERIMETER AND AREA
• Chapter 11: ALGEBRAIC EXPRESSIONS
• Chapter 12: EXPONENTS AND POWERS
• Chapter 13: SYMMETRY

All Chapters for Class 7 MATHS

• RATIONAL NUMBERS for Class 7 MATHS
• QUANTITATIVE COMPARISONS for Class 7 MATHS
• CONGRUENCE OF TRIANGLES for Class 7 MATHS
• DATA HANDLING for Class 7 MATHS
• FRACTIONS AND DECIMALS for Class 7 MATHS
• INTEGERS for Class 7 MATHS
• QUESTION BANK for Class 7 MATHS
• SIMPLE EQUATIONS for Class 7 MATHS
• LINES AND ANGLES for Class 7 MATHS
• PERIMETER AND AREA for Class 7 MATHS
• THE TRIANGLE AND ITS PROPERTIES for Class 7 MATHS
• SYMMETRY for Class 7 MATHS
• VISUALISING SOLID SHAPES for Class 7 MATHS
• PAIR OF LINES AND TRANSVERSAL for Class 7 MATHS
• FUNDAMENTAL OF MATHEMATICS for Class 7 MATHS
• COMPARING QUANTITIES for Class 7 MATHS
• ALGEBRAIC EXPRESSIONS AND IDENTITIES for Class 7 MATHS
• EXPONENTS AND POWERS for Class 7 MATHS
• PRACTICAL GEOMETRY for Class 7 MATHS
• SIMPLIFICATION for Class 7 MATHS

Other subjects for Class 7

• Ncert Solutions for Class 7 PHYSICS
• Ncert Solutions for Class 7 BIOLOGY
• Ncert Solutions for Class 7 CHEMISTRY
• Ncert Solutions for Class 7 ENGLISH

Other classes for MATHS

• Ncert Solutions for Class 6 MATHS
• Ncert Solutions for Class 8 MATHS
• Ncert Solutions for Class 9 MATHS
• Ncert Solutions for Class 10 MATHS
• Ncert Solutions for Class 11 MATHS
• Ncert Solutions for Class 12 MATHS

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CBSE Worksheets for Class 7 Maths | MCQ Questions for Class 7 Maths

CBSE Worksheets for Class 7 Maths: One of the best teaching strategies employed in most classrooms today is Worksheets. CBSE Class 7 Maths Worksheet for students has been used by teachers & students to develop logical, lingual, analytical, and problem-solving capabilities. So in order to help you with that, we at WorksheetsBuddy have come up with Kendriya Vidyalaya Class 7 Maths Worksheets for the students of Class 7. All our CBSE NCERT Class 7 Maths practice worksheets are designed for helping students to understand various topics, practice skills and improve their subject knowledge which in turn helps students to improve their academic performance. These chapter wise test papers for Class 7 Maths will be useful to test your conceptual understanding.

Board: Central Board of Secondary Education(www.cbse.nic.in) Subject: Class 7 Maths Number of Worksheets: 85

CBSE Class 7 Maths Worksheets PDF

All the CBSE Worksheets for Class 7 Maths provided in this page are provided for free which can be downloaded by students, teachers as well as by parents. We have covered all the Class 7 Maths important questions and answers in the worksheets which are included in CBSE NCERT Syllabus. Just click on the following link and download the CBSE Class 7 Maths Worksheet. CBSE Worksheets for Class 7 Math can also use like assignments for Class 7 Maths students.

• MCQ Questions for Class 7 Maths
• Grade 7 Integers Worksheets
• Grade 7 Fractions and Decimals Worksheets
• Grade 7 Data Handling Worksheets
• Grade 7 Simple Equations Worksheets
• Grade 7 Lines and Angles Worksheets
• Grade 7 The Triangles and its Properties Worksheets
• Grade 7 Congruence of Triangles Worksheets
• Grade 7 Comparing Quantities Worksheets
• Grade 7 Rational Numbers Worksheets
• Grade 7 Practical Geometry Worksheets
• Grade 7 Perimeter And Area Worksheets
• Grade 7 Algebraic Expressions Worksheets
• Grade 7 Exponents and Powers Worksheets
• Grade 7 Symmetry Worksheets
• Grade 7 Visualising Solid Shapes Worksheets

CBSE Worksheets for Class 7 Maths Algebraic

• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 1
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 2
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 3
• CBSE Worksheets for Class 7 Maths Algebraic Expression Assignment 4

CBSE Worksheets for Class 7 Maths Comparing Quantities

• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment

CBSE Worksheets for Class 7 Maths Congruence of Triangles

• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 1
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 2
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 3
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 4
• CBSE Worksheets for Class 7 Maths Congruence of Triangles Assignment 5

CBSE Worksheets for Class 7 Maths Data Handling

• CBSE Worksheets for Class 7 Maths Data Handling Assignment 1
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 2
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 3
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 4
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 5
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 6
• CBSE Worksheets for Class 7 Maths Data Handling Assignment 7

CBSE Worksheets for Class 7 Maths Exponents & Powers

• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 1
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 2
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 3
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 4
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 5
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 6
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 7
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 8
• CBSE Worksheets for Class 7 Maths Exponents & Powers Assignment 9

CBSE Worksheets for Class 7 Maths Fractions and Decimals

• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 1
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 2
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 3
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 4
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 5
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 6
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 7
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 8
• CBSE Worksheets for Class 7 Maths Fractions and Decimals Assignment 9

CBSE Worksheets for Class 7 Maths Integers

• CBSE Worksheets for Class 7 Maths Integers Assignment 1
• CBSE Worksheets for Class 7 Maths Integers Assignment 2
• CBSE Worksheets for Class 7 Maths Integers Assignment 3
• CBSE Worksheets for Class 7 Maths Integers Assignment 4
• CBSE Worksheets for Class 7 Maths Integers Assignment 5
• CBSE Worksheets for Class 7 Maths Integers Assignment 6
• CBSE Worksheets for Class 7 Maths Integers Assignment 7

CBSE Worksheets for Class 7 Maths Lines and Angles

• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 1
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 2
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 3
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 4
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 5
• CBSE Worksheets for Class 7 Maths Lines and Angles Assignment 6

CBSE Worksheets for Class 7 Maths Perimeter and Area

• CBSE Worksheets for Class 7 Maths Perimeter and Area Assignment 1
• CBSE Worksheets for Class 7 Maths Perimeter and Area Assignment 2

CBSE Worksheets for Class 7 Maths Rational Numbers

• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 1
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 2
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 3
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 4
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 5
• CBSE Worksheets for Class 7 Maths Rational Numbers Assignment 6

CBSE Worksheets for Class 7 Maths Simple Equations

• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 1
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 2
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 3
• CBSE Worksheets for Class 7 Maths Simple Equations Assignment 4

CBSE Worksheets for Class 7 Maths symmetry

• CBSE Worksheets for Class 7 Maths symmetry Assignment

CBSE Worksheets for Class 7 Maths Triangle and its Properties

• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 1
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 2
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 3
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 4
• CBSE Worksheets for Class 7 Maths Triangle and its Properties Assignment 5
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 1
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 2
• CBSE Worksheets for Class 7 Maths Comparing Quantities Assignment 3

Class 7 Maths Worksheets

• CBSE Worksheets for Class 7 Mathematics Assignment 1
• CBSE Worksheets for Class 7 Mathematics Assignment 2
• CBSE Worksheets for Class 7 Mathematics Assignment 3
• CBSE Worksheets for Class 7 Mathematics Assignment 4
• CBSE Worksheets for Class 7 Mathematics Assignment 5
• CBSE Worksheets for Class 7 Mathematics Assignment 6
• CBSE Worksheets for Class 7 Mathematics Assignment 7
• CBSE Worksheets for Class 7 Mathematics Assignment 8
• CBSE Worksheets for Class 7 Mathematics Assignment 9
• CBSE Worksheets for Class 7 Mathematics Assignment 10
• CBSE Worksheets for Class 7 Mathematics Assignment 11
• CBSE Worksheets for Class 7 Mathematics Assignment 12
• CBSE Worksheets for Class 7 Mathematics Assignment 13
• CBSE Worksheets for Class 7 Mathematics Assignment 14
• CBSE Worksheets for Class 7 Mathematics Assignment 15
• CBSE Worksheets for Class 7 Mathematics Assignment 16

Advantages of CBSE Class 7 Maths Worksheets

• By practising NCERT CBSE Class 7 Maths Worksheet , students can improve their problem solving skills.
• Helps to develop the subject knowledge in a simple, fun and interactive way.
• No need for tuition or attend extra classes if students practise on worksheets daily.
• Working on CBSE worksheets are time-saving.
• Helps students to promote hands-on learning.
• One of the helpful resources used in classroom revision.
• CBSE Class 7 Maths Workbook Helps to improve subject-knowledge.
• CBSE Class 7 Math Worksheets encourages classroom activities.

Worksheets of CBSE Class 7 Maths are devised by experts of WorksheetsBuddy experts who have great experience and expertise in teaching Maths. So practising these worksheets will promote students problem-solving skills and subject knowledge in an interactive method. Students can also download CBSE Class 7 Maths Chapter wise question bank pdf and access it anytime, anywhere for free. Browse further to download free CBSE Class 7 Maths Worksheets PDF .

Now that you are provided all the necessary information regarding CBSE Class 7 Maths Worksheet and we hope this detailed article is helpful. So Students who are preparing for the exams must need to have great solving skills. And in order to have these skills, one must practice enough of Class 7 Math revision worksheets . And more importantly, students should need to follow through the worksheets after completing their syllabus.  Working on CBSE Class 7 Maths Worksheets will be a great help to secure good marks in the examination. So start working on Class 7 Math Worksheets to secure good score.

CBSE Worksheets For Class 7

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NCERT Solutions For class 7 Maths all exercises

• NCERT Solutions
• Maths All Exercises

NCERT Solutions for Class 7 Maths Exercises - PDF Solutions

Class 7 Maths has an elaborate CBSE syllabus that covers the different topics of arithmetic, algebra and geometry. Students learn these concepts faster and better when they have a complete study material. To complete your study material, download and refer to the Chapter Wise List of Class 7 Maths All Exercises. These solutions have been compiled following the CBSE guidelines to boost your preparation for this subject.

Every NCERT Solutions is provided to make the study simple and interesting on Vedantu. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 7 Science , Maths solutions and solutions of other subjects. You can also download NCERT Solutions for Class 7 Maths to help you to revise complete syllabus and score more marks in your examinations.

Detailed Overview of Class 7 Maths NCERT Solutions

NCERT Solutions for Class 7 Maths - Chapter-wise List

Given below are the chapter-wise NCERT Solutions for Class 7 Maths . These solutions are provided by the Maths experts at Vedantu in a detailed manner. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.

NCERT Solutions for Class 7 Maths Chapter 1

NCERT Solutions for Class 7 Maths Chapter 2

Ncert solutions for class 7 maths chapter 3, ncert solutions for class 7 maths chapter 4, ncert solutions for class 7 maths chapter 5, ncert solutions for class 7 maths chapter 6, ncert solutions for class 7 maths chapter 7, ncert solutions for class 7 maths chapter 8, ncert solutions for class 7 maths chapter 9, ncert solutions for class 7 maths chapter 10, ncert solutions for class 7 maths chapter 11, ncert solutions for class 7 maths chapter 12, ncert solutions for class 7 maths chapter 13, ncert solutions for class 7 maths chapter 14, ncert solutions for class 7 maths chapter 15, ncert solutions for class 7 maths exercises.

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You will get Class 7 Maths Exercises NCERT solutions written in a simple and lucid manner. Solve all the problems/ questions given in the exercises and evaluate your performance with these 100% accurate solutions so that you can learn how to write answers to the questions from any perspective during the final exam. Each of the answers in the Maths Exercises NCERT solutions Class 7 is student-friendly and customized by the experts. 

These NCERT solutions Class 7 Maths Exercises contain step-by-step answers to all the questions from the exercise which are considered as an invaluable aid to the students when it comes to regular study, exam preparation or doing homework. Class 7 Maths Exercises NCERT solutions will clear all your doubts in very less time. Hence your confidence will be boosted. By practising the questions from these NCERT books , you will be able to improve your time management skills. That will help you in solving all the questions in the stipulated time frame during the final exam. 

NCERT Solutions for Class 7 Maths Exercises are designed as per the latest CBSE curriculum and guidelines . Vedantu’s study materials are updated regularly as per the latest changes. Hence students of Class 7 who are referring to these materials will be able to score the best marks in the final exam. Once you start using these materials, the preparation for Class 7 exam and scoring the highest percentile amongst your peers will seem like a cakewalk at the end of the day.

NCERT Solutions for Class 7 Maths - All Exercises

Importance of NCERT Maths All Exercises book Class 7 Solutions

The Class 7 Maths syllabus has 15 fundamental chapters that help students to develop their mathematical concepts. Each chapter describes the specific fundamental concepts and mathematical principles along with a set of exercises to solve.

Students can efficiently use the solutions framed by the subject experts of Vedantu to complete preparing these chapters. They can solve the exercise questions without the hassle and proceed with their syllabus preparation accordingly.

Benefits of CBSE 7th Maths All Exercises Book Answers

The solutions have been framed in a simpler version for better comprehension by the students. They can proceed with the syllabus perfectly with the help of these solutions.

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Download Free CBSE 7th Maths All Exercises Book Answers PDF

Perform the NCERT Maths All Exercises book Class 7 Solutions PDF free download and complete your study material . Focus on how the experts have skilfully answered the exercise questions using the concepts of the respective chapters and proceed with your syllabus preparation.

Important Related Links for NCERT Class 7

CBSE Class 7 Revision Notes

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Important Questions for CBSE Class 7

NCERT Exemplar Solutions for Class 7

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FAQs on NCERT Solutions For class 7 Maths all exercises

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NCERT Books

NCERT Books for Class 7 Maths PDF Download

NCERT Books Class 7 Maths : The National Council of Educational Research and Training (NCERT) publishes Maths textbooks for Class 7. The NCERT Class 7th Maths textbooks are well known for it’s updated and thoroughly revised syllabus. The NCERT Maths Books are based on the latest exam pattern and CBSE syllabus.

NCERT keeps on updating the Maths books with the help of the latest question papers of each year. The Class 7 Maths books of NCERT are very well known for its presentation. The use of NCERT Books Class 7 Maths is not only suitable for studying the regular syllabus of various boards but it can also be useful for the candidates appearing for various competitive exams, Engineering Entrance Exams, and Olympiads.

NCERT Class 7 Maths Books in English PDF Download

NCERT Class 7 Maths Books are provided in PDF form so that students can access it at any time anywhere. Class 7 NCERT Maths Books are created by the best professors who are experts in Maths and have good knowledge in the subject.

NCERT Books for Class 7 Maths – English Medium

• Chapter 1:  Integers

NCERT Solutions for class 7 Maths

• Chapter 2:  Fractions and Decimals
• Chapter 3:  Data Handling
• Chapter 4:  Simple Equations
• Chapter 5:  Lines and Angles
• Chapter 6:  The Triangles and Its Properties
• Chapter 7:  Congruence of Triangles
• Chapter 8:  Comparing Quantities
• Chapter 9:  Rational Numbers
• Chapter 10:  Practical Geometry
• Chapter 11:  Perimeter and Area
• Chapter 12:  Algebraic Expressions
• Chapter 13:  Exponents and Powers
• Chapter 14:  Symmetry
• Chapter 15:  Visualising Solid Shapes

NCERT Books for Class 7 Maths – Hindi Medium

• अध्याय 1:  पूर्णांक
• अध्याय 2:  भिन्न एवं दशमलव
• अध्याय 3:  आँकड़ो का प्रबंधन
• अध्याय 4:  सरल समीकरण
• अध्याय 5:  रेखा एवं कोण
• अध्याय 6:  त्रिभुज और उसके गुण
• अध्याय 7:  त्रिभुजों की सर्वांगसमता
• अध्याय 8:  राशियों की तुलना
• अध्याय 9:  परिमेय संख्याएँ
• अध्याय 10:  प्रायोगिक ज्यामिती
• अध्याय 11:  परिमाप और क्षेत्रफल
• अध्याय 12:  बीजीय व्यंजक
• अध्याय 13:  घातांक और घात
• अध्याय 14:  सममिति
• अध्याय 15:  ठोस आकारों का चित्रण

The NCERT syllabus mainly focuses on this book to make it student-friendly to make it useful for both the students and the competitive exam aspirants. The book covers a detailed Maths based on the syllabuses of various boards. NCERT Maths Books for Class 7 is perfectly compatible with almost every Indian education state and central boards.

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• NCERT Solutions
• NCERT Class 7
• NCERT 7 Maths
• Chapter 4: Simple Equations

NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations

NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations are provided to aid the students while preparing for their exams as well as assignments. For students who feel stressed about solving the most comprehensive and detailed NCERT Solutions for Class 7 Maths, we at BYJU’S, have prepared step-by-step solutions with detailed descriptions. We suggest students who aspire to score good marks in Maths go through these solutions and increase their knowledge.

Download Exclusively Curated Chapter Notes for Class 7 Maths Chapter – 4 Simple Equations

Download most important questions for class 7 maths chapter – 4 simple equations.

Chapter 4 – Simple Equations of NCERT Solutions for Class 7 Maths contains 4 exercises. Let’s now look at the important topics covered in this chapter mentioned below.

• What Is Equation
• Solving an Equation
• More Equations
• From Solution to Equation
• Applications of Simple Equations to Practical Situations

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Access other exercises of NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations

Exercise 4.1 Solutions

Exercise 4.2 Solutions

Exercise 4.3 Solutions

Exercise 4.4 Solutions

Access answers to Maths NCERT Solutions for Class 7 Chapter 4 – Simple Equations

Exercise 4.1 Page: 81

1. Complete the last column of the table.

(i) x + 3 = 0

LHS = x + 3

By substituting the value of x = 3

LHS = 3 + 3 = 6

By comparing LHS and RHS,

∴ No, the equation is not satisfied.

(ii) x + 3 = 0

By substituting the value of x = 0,

LHS = 0 + 3 = 3

(iii) x + 3 = 0

By substituting the value of x = – 3,

LHS = – 3 + 3 = 0

∴ Yes, the equation is satisfied.

(iv) x – 7 = 1

LHS = x – 7

By substituting the value of x = 7,

LHS = 7 – 7 = 0

(v) x – 7 = 1

By substituting the value of x = 8,

LHS = 8 – 7 = 1

(vi) 5x = 25

LHS = 5 × 0 = 0

(vii) 5x = 25

By substituting the value of x = 5,

LHS = 5 × 5 = 25

(viii) 5x = 25

By substituting the value of x = -5,

LHS = 5 × (-5) = – 25

(ix) m/3 = 2

By substituting the value of m = – 6,

LHS = -6/3 = – 2

(x) m/3 = 2

By substituting the value of m = 0,

LHS = 0/3 = 0

(xi) m/3 = 2

By substituting the value of m = 6,

LHS = 6/3 = 2

2. Check whether the value given in the brackets is a solution to the given equation or not.

(a) n + 5 = 19 (n = 1)

LHS = n + 5

By substituting the value of n = 1,

Hence, the value of n = 1 is not a solution to the given equation n + 5 = 19.

(b) 7n + 5 = 19 (n = – 2)

LHS = 7n + 5

By substituting the value of n = -2,

= (7 × (-2)) + 5

= – 14 + 5

= – 9

Hence, the value of n = -2 is not a solution to the given equation 7n + 5 = 19.

(c) 7n + 5 = 19 (n = 2)

By substituting the value of n = 2,

= (7 × (2)) + 5

Hence, the value of n = 2 is a solution to the given equation 7n + 5 = 19.

(d) 4p – 3 = 13 (p = 1)

LHS = 4p – 3

By substituting the value of p = 1,

= (4 × 1) – 3

= 4 – 3

Hence, the value of p = 1 is not a solution to the given equation 4p – 3 = 13.

(e) 4p – 3 = 13 (p = – 4)

By substituting the value of p = – 4,

= (4 × (-4)) – 3

= -16 – 3

Hence, the value of p = -4 is not a solution to the given equation 4p – 3 = 13.

(f) 4p – 3 = 13 (p = 0)

By substituting the value of p = 0,

= (4 × 0) – 3

= 0 – 3

– 3 ≠ 13

Hence, the value of p = 0 is not a solution to the given equation 4p – 3 = 13.

3. Solve the following equations by trial and error method.

(i) 5p + 2 = 17

LHS = 5p + 2

= (5 × 0) + 2

Hence, the value of p = 0 is not a solution to the given equation.

= (5 × 1) + 2

Hence, the value of p = 1 is not a solution to the given equation.

= (5 × 2) + 2

Hence, the value of p = 2 is not a solution to the given equation.

= (5 × 3) + 2

Hence, the value of p = 3 is a solution to the given equation.

(ii) 3m – 14 = 4

LHS = 3m – 14

By substituting the value of m = 3,

= (3 × 3) – 14

= 9 – 14

= – 5

Hence, the value of m = 3 is not a solution to the given equation.

= (3 × 4) – 14

= 12 – 14

= – 2

Hence, the value of m = 4 is not a solution to the given equation.

= (3 × 5) – 14

= 15 – 14

Hence, the value of m = 5 is not a solution to the given equation.

= (3 × 6) – 14

= 18 – 14

Hence, the value of m = 6 is a solution to the given equation.

4. Write equations for the following statements.

(i) The sum of numbers x and 4 is 9.

The above statement can be written in the equation form as,

= x + 4 = 9

(ii) 2 subtracted from y is 8.

= y – 2 = 8

(iii) Ten times a is 70.

(iv) The number b divided by 5 gives 6.

= (b/5) = 6

(v) Three-fourths of t is 15.

(vi) Seven times m plus 7 gets you 77.

Seven times m is 7m.

= 7m + 7 = 77

(vii) One-fourth of a number x minus 4 gives 4.

One-fourth of a number x is x/4.

= x/4 – 4 = 4

(viii) If you take away 6 from 6 times y, you get 60.

6 times y is 6y.

= 6y – 6 = 60

(ix) If you add 3 to one-third of z, you get 30.

One-third of z is z/3.

= 3 + z/3 = 30

5. Write the following equations in statement forms.

(i) p + 4 = 15

The sum of numbers p and 4 is 15.

(ii) m – 7 = 3

7 subtracted from m is 3.

(iii) 2m = 7

Twice of number m is 7.

(iv) m/5 = 3

The number m divided by 5 gives 3.

(v) (3m)/5 = 6

Three-fifth of m is 6.

(vi) 3p + 4 = 25

Three times p plus 4 gives you 25.

(vii) 4p – 2 = 18

Four times p minus 2 gives you 18.

(viii) p/2 + 2 = 8

If you add half of a number p to 2, you get 8.

6. Set up an equation in the following cases.

(i) Irfan says that he has 7 marbles, more than five times the marbles Parmit has. Irfan has 37 marbles (Take m to be the number of Parmit’s marbles).

From the question, it is given that

Number of Parmit’s marbles = m

Irfan has 7 marbles, more than five times the marbles Parmit has.

= 5 × Number of Parmit’s marbles + 7 = Total number of marbles Irfan having

= (5 × m) + 7 = 37

= 5m + 7 = 37

(ii) Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age (Take Laxmi’s age to be y years).

Let Laxmi’s age be = y years old

Lakshmi’s father is 4 years older than three times her age.

= 3 × Laxmi’s age + 4 = Age of Lakshmi’s father

= (3 × y) + 4 = 49

= 3y + 4 = 49

(iii) The teacher tells the class that the highest marks obtained by a student in her class are twice the lowest marks plus 7. The highest score is 87 (Take the lowest score to be l).

Highest score in the class = 87

Let the lowest score be l.

= 2 × Lowest score + 7 = Highest score in the class

= (2 × l) + 7 = 87

= 2l + 7 = 87

(iv) In an isosceles triangle, the vertex angle is twice either base angle (Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180 degrees).

We know that the sum of angles of a triangle is 180 o

Let the base angle be b.

Vertex angle = 2 × base angle = 2b

= b + b + 2b = 180 o

= 4b = 180 o

Exercise 4.2 Page: 86

1. Give first the step you will use to separate the variable and then solve the equation.

(a) x – 1 = 0

We have to add 1 to both sides of the given equation.

Then, we get

= x – 1 + 1 = 0 + 1

(b) x + 1 = 0

We have to subtract 1 from both sides of the given equation.

= x + 1 – 1 = 0 – 1

= x = – 1

(c) x – 1 = 5

= x – 1 + 1 = 5 + 1

(d) x + 6 = 2

We have to subtract 6 from both sides of the given equation.

= x + 6 – 6 = 2 – 6

= x = – 4

(e) y – 4 = – 7

We have to add 4 to both sides of the given equation.

= y – 4 + 4 = – 7 + 4

= y = – 3

(f) y – 4 = 4

= y – 4 + 4 = 4 + 4

(g) y + 4 = 4

We have to subtract 4 from both sides of the given equation.

= y + 4 – 4 = 4 – 4

(h) y + 4 = – 4

= y + 4 – 4 = – 4 – 4

= y = – 8

2. Give first the step you will use to separate the variable and then solve the equation.

(a) 3l = 42

Now, we have to divide both sides of the equation by 3.

= 3l/3 = 42/3

(b) b/2 = 6

Now, we have to multiply both sides of the equation by 2.

= b/2 × 2= 6 × 2

(c) p/7 = 4

Now, we have to multiply both sides of the equation by 7.

= p/7 × 7= 4 × 7

(d) 4x = 25

Now, we have to divide both sides of the equation by 4

= 4x/4 = 25/4

(e) 8y = 36

Now, we have to divide both sides of the equation by 8.

= 8y/8 = 36/8

(f) (z/3) = (5/4)

Now, we have to multiply both sides of the equation by 3.

= (z/3) × 3 = (5/4) × 3

(g) (a/5) = (7/15)

Now, we have to multiply both sides of the equation by 5.

= (a/5) × 5 = (7/15) × 5

(h) 20t = – 10

Now, we have to divide both sides of the equation by 20.

= 20t/20 = -10/20

= x = – ½

3. Give the steps you will use to separate the variable and then solve the equation.

(a) 3n – 2 = 46

First, we have to add 2 to both sides of the equation.

= 3n – 2 + 2 = 46 + 2

We have to divide both sides of the equation by 3.

= 3n/3 = 48/3

(b) 5m + 7 = 17

First, we have to subtract 7 from both sides of the equation.

= 5m + 7 – 7 = 17 – 7

We have to divide both sides of the equation by 5.

= 5m/5 = 10/5

(c) 20p/3 = 40

First, we have to multiply both sides of the equation by 3.

= (20p/3) × 3 = 40 × 3

= 20p = 120

We have to divide both sides of the equation by 20.

= 20p/20 = 120/20

(d) 3p/10 = 6

First, we have to multiply both sides of the equation by 10.

= (3p/10) × 10 = 6 × 10

= 3p/3 = 60/3

4. Solve the following equations.

(a) 10p = 100

We have to divide both sides of the equation by 10.

= 10p/10 = 100/10

(b) 10p + 10 = 100

First, we have to subtract 10 from both sides of the equation.

= 10p + 10 – 10 = 100 – 10

= 10p/10 = 90/10

(c) p/4 = 5

We have to multiply both sides of the equation by 4.

= p/4 × 4 = 5 × 4

(d) – p/3 = 5

We have to multiply both sides of the equation by – 3.

= – p/3 × (- 3) = 5 × (- 3)

= p = – 15

(e) 3p/4 = 6

First, we have to multiply both sides of the equation by 4.

= (3p/4) × (4) = 6 × 4

= 3p/3 = 24/3

(f) 3s = – 9

= 3s/3 = -9/3

(g) 3s + 12 = 0

First, we have to subtract 12 from both sides of the equation.

= 3s + 12 – 12 = 0 – 12

= 3s/3 = -12/3

= s = – 4

= 3s/3 = 0/3

We have to divide both sides of the equation by 2.

= 2q/2 = 6/2

(j) 2q – 6 = 0

First, we have to add 6 to both sides of the equation.

= 2q – 6 + 6 = 0 + 6

(k) 2q + 6 = 0

First, we have to subtract 6 from both sides of the equation.

= 2q + 6 – 6 = 0 – 6

= 2q = – 6

= 2q/2 = – 6/2

= q = – 3

(l) 2q + 6 = 12

= 2q + 6 – 6 = 12 – 6

Exercise 4.3 Page: 89

1. Solve the following equations.

(a) 2y + (5/2) = (37/2)

By transposing (5/2) from LHS to RHS, it becomes -5/2

= 2y = (37/2) – (5/2)

= 2y = (37-5)/2

= 2y = 32/2

Divide both sides by 2.

= 2y/2 = (32/2)/2

= y = (32/2) × (1/2)

(b) 5t + 28 = 10

By transposing 28 from LHS to RHS, it becomes -28

= 5t = 10 – 28

= 5t = – 18

Divide both sides by 5.

= 5t/5= -18/5

= t = -18/5

(c) (a/5) + 3 = 2

By transposing 3 from LHS to RHS, it becomes -3

= a/5 = 2 – 3

= a/5 = – 1

Multiply both sides by 5.

= (a/5) × 5= -1 × 5

(d) (q/4) + 7 = 5

By transposing 7 from LHS to RHS, it becomes -7

= q/4 = 5 – 7

= q/4 = – 2

Multiply both sides by 4.

= (q/4) × 4= -2 × 4

(e) (5/2) x = -5

First, we have to multiply both sides by 2.

= (5x/2) × 2 = – 5 × 2

= 5x = – 10

We have to divide both sides by 5.

= 5x/5 = -10/5

(f) (5/2) x = 25/4

= (5x/2) × 2 = (25/4) × 2

= 5x = (25/2)

= 5x/5 = (25/2)/5

= x = (25/2) × (1/5)

= x = (5/2)

(g) 7m + (19/2) = 13

By transposing (19/2) from LHS to RHS, it becomes -19/2

= 7m = 13 – (19/2)

= 7m = (26 – 19)/2

Divide both sides by 7.

= 7m/7 = (7/2)/7

= m = (7/2) × (1/7)

(h) 6z + 10 = – 2

By transposing 10 from LHS to RHS, it becomes – 10

= 6z = -2 – 10

= 6z = – 12

Divide both sides by 6.

= 6z/6 = -12/6

= m = – 2

(i) (3/2) l = 2/3

= (3l/2) × 2 = (2/3) × 2

= 3l = (4/3)

We have to divide both sides by 3.

= 3l/3 = (4/3)/3

= l = (4/3) × (1/3)

= x = (4/9)

(j) (2b/3) – 5 = 3

By transposing -5 from LHS to RHS, it becomes 5

= 2b/3 = 3 + 5

Multiply both sides by 3.

= (2b/3) × 3= 8 × 3

= 2b/2 = 24/2

2. Solve the following equations.

(a) 2(x + 4) = 12

Let us divide both sides by 2.

= (2(x + 4))/2 = 12/2

= x + 4 = 6

By transposing 4 from LHS to RHS, it becomes -4

= x = 6 – 4

(b) 3(n – 5) = 21

Let us divide both sides by 3.

= (3(n – 5))/3 = 21/3

= n – 5 = 7

= n = 7 + 5

(c) 3(n – 5) = – 21

= (3(n – 5))/3 = – 21/3

= n – 5 = -7

= n = – 7 + 5

= n = – 2

(d) – 4(2 + x) = 8

Let us divide both sides by -4.

= (-4(2 + x))/ (-4) = 8/ (-4)

= 2 + x = -2

By transposing 2 from LHS to RHS, it becomes – 2

= x = -2 – 2

(e) 4(2 – x) = 8

Let us divide both sides by 4.

= (4(2 – x))/ 4 = 8/ 4

= 2 – x = 2

= – x = 2 – 2

= – x = 0

3. Solve the following equations.

(a) 4 = 5(p – 2)

Let us divide both sides by 5.

= 4/5 = (5(p – 2))/5

= 4/5 = p -2

By transposing – 2 from RHS to LHS, it becomes 2

= (4/5) + 2 = p

= (4 + 10)/ 5 = p

(b) – 4 = 5(p – 2)

= – 4/5 = (5(p – 2))/5

= – 4/5 = p -2

= – (4/5) + 2 = p

= (- 4 + 10)/ 5 = p

(c) 16 = 4 + 3(t + 2)

By transposing 4 from RHS to LHS, it becomes – 4

= 16 – 4 = 3(t + 2)

= 12 = 3(t + 2)

= 12/3 = (3(t + 2))/ 3

= 4 = t + 2

By transposing 2 from RHS to LHS, it becomes – 2

= 4 – 2 = t

(d) 4 + 5(p – 1) =34

By transposing 4 from LHS to RHS, it becomes – 4

= 5(p – 1) = 34 – 4

= 5(p – 1) = 30

= (5(p – 1))/ 5 = 30/5

= p – 1 = 6

By transposing – 1 from RHS to LHS, it becomes 1

= p = 6 + 1

(e) 0 = 16 + 4(m – 6)

By transposing 16 from RHS to LHS, it becomes – 16

= 0 – 16 = 4(m – 6)

= – 16 = 4(m – 6)

= – 16/4 = (4(m – 6))/ 4

= – 4 = m – 6

By transposing – 6 from RHS to LHS, it becomes 6

= – 4 + 6 = m

4. (a) Construct 3 equations starting with x = 2

The first equation is,

Multiply both sides by 6.

The second equation is,

Subtracting 4 from both sides,

= 6x – 4 = 12 -4

The third equation is,

= (6x/6) – (4/6) = (8/6)

(b) Construct 3 equations starting with x = – 2

Subtracting 3 from both sides,

= 5x – 3 = – 10 – 3

Dividing both sides by 2.

Exercise 4.4 Page: 91

1. Set up equations and solve them to find the unknown numbers in the following cases.

(a) Add 4 to eight times a number; you get 60.

Let us assume the required number is x.

Eight times a number = 8x

The given above statement can be written in the equation form as,

= 8x + 4 = 60

= 8x = 60 – 4

Divide both sides by 8.

= (8x/8) = 56/8

(b) One-fifth of a number minus 4 gives 3.

One-fifth of a number = (1/5) x = x/5

= (x/5) – 4 = 3

By transposing – 4 from LHS to RHS, it becomes 4

= x/5 = 3 + 4

Then. we get

= (x/5) × 5 = 7 × 5

(c) If I take three-fourths of a number and add 3 to it, I get 21.

Three-fourths of a number = (3/4) x

= (3/4) x + 3 = 21

By transposing 3 from LHS to RHS, it becomes – 3

= (3/4) x = 21 – 3

= (3/4) x = 18

= (3x/4) × 4 = 18 × 4

Divide both sides by 3.

= (3x/3) = 72/3

(d) When I subtracted 11 from twice a number, the result was 15.

Twice a number = 2x

= 2x –11 = 15

By transposing -11 from LHS to RHS, it becomes 11

= 2x = 15 + 11

= (2x/2) = 26/2

(e) Munna subtracts thrice the number of notebooks he has from 50, and he finds the result to be 8.

Thrice the number = 3x

= 50 – 3x = 8

By transposing 50 from LHS to RHS, it becomes – 50

= – 3x = 8 – 50

= -3x = – 42

Divide both sides by -3.

= (-3x/-3) = – 42/-3

(f) Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

= (x + 19)/5 = 8

= ((x + 19)/5) × 5 = 8 × 5

= x + 19 = 40

By transposing 19 from LHS to RHS, it becomes – 19

= x = 40 – 19

(g) Anwar thinks of a number. If he takes away 7 from 5/2 of the number, the result is 23.

Let us assume the required number is x

5/2 of the number = (5/2) x

= (5/2) x – 7 = 23

By transposing -7 from LHS to RHS, it becomes 7

= (5/2) x = 23 + 7

= (5/2) x = 30

Multiply both sides by 2,

= ((5/2) x) × 2 = 30 × 2

= 5x/5 = 60/5

2. Solve the following.

(a) The teacher tells the class that the highest marks obtained by a student in her class are twice the lowest marks plus 7. The highest score is 87. What is the lowest score?

Let us assume the lowest score is x.

The highest score is = 87

The highest marks obtained by a student in her class are twice the lowest marks plus 7= 2x + 7

= 2x + 7 = Highest score

= 2x + 7 = 87

= 2x = 87 – 7

= 2x/2 = 80/2

Hence, the lowest score is 40.

(b) In an isosceles triangle, the base angles are equal. The vertex angle is 40°.

What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°.)

= b + b + 40 o = 180 o

= 2b + 40 = 180 o

By transposing 40 from LHS to RHS, it becomes -40

= 2b = 180 – 40

= 2b/2 = 140/2

Hence, 70 o is the base angle of an isosceles triangle.

(c) Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

Let us assume Rahul’s score is x.

Sachin scored twice as many runs as Rahul is 2x.

Together, their runs fell two short of a double century.

= Rahul’s score + Sachin’s score = 200 – 2

= x + 2x = 198

= 3x/3 = 198/3

So, Rahul’s score is 66.

And Sachin’s score is 2x = 2 × 66 = 132

3. Solve the following:

(i) Irfan says that he has 7 marbles, more than five times the marbles Parmit has.

Irfan has 37 marbles. How many marbles does Parmit have?

Let us assume the number of Parmit’s marbles = m

= 5m = 37 – 7

= 5m/5 = 30/5

So, Permit has 6 marbles.

(ii) Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age.

What is Laxmi’s age?

= 3y = 49 – 4

= 3y/3 = 45/3

So, Lakshmi’s age is 15 years.

(iii) People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

Let the number of fruit trees be f.

3 × number of fruit trees + 2 = number of non-fruit trees

= 3f + 2 = 77

By transposing 2 from LHS to RHS, it becomes -2

=3f = 77 – 2

= 3f/3 = 75/3

So, the number of fruit trees was 25.

4. Solve the following riddle.

I am a number,

Tell my identity!

Take me seven times over

And add a fifty!

To reach a triple century

You still need forty!

Let us assume the number is x.

Take me seven times over and add a fifty = 7x + 50

To reach a triple century you still need forty = (7x + 50) + 40 = 300

= 7x + 50 + 40 = 300

= 7x + 90 = 300

By transposing 90 from LHS to RHS, it becomes -90

= 7x = 300 – 90

= 7x/7 = 210/7

Hence, the number is 30.

Disclaimer:

Dropped Topics – 4.6 From solution to equation

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•  • Chapter 1: Geometrical Constructions
•  • Chapter 2: Multiplication and Division of Integers
•  • Chapter 3: HCF and LCM
•  • Chapter 4: Angles and Pairs of Angles
•  • Chapter 5: Operations on Rational Numbers
•  • Chapter 6: Indices
•  • Chapter 7: Joint Bar Graph
•  • Chapter 8: Algebraic Expressions and Operations on Them
•  • Chapter 9: Direct Proportion and Inverse Proportion
•  • Chapter 10: Banks and Simple Interest
•  • Chapter 11: Circle
•  • Chapter 12: Perimeter and Area
•  • Chapter 13: Pythagoras’ Theorem
•  • Chapter 14: Algebraic Formulae - Expansion of Squares
•  • Chapter 15: Statistics
•  • Chapter 16: Miscellaneous Problems : Set 1
•  • Chapter 17: Miscellaneous Problems : Set 2
• SSC (English Medium) 7th Standard Maharashtra State Board

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• Balbharati solutions for English 7th Standard Maharashtra State Board
• Balbharati solutions for General Science 7th Standard Maharashtra State Board
• Balbharati solutions for Geography 7th Standard Maharashtra State Board
• Balbharati solutions for Hindi - Sulabhbharati 7th Standard Maharashtra State Board [हिंदी - सुलभभारती ७ वीं कक्षा]
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• Balbharati solutions for Marathi - Sulabhbharati 7th Standard Maharashtra State Board [मराठी - सुलभभारती इयत्ता ७ वी]

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Balbharati solutions for 7th standard mathematics (class 7) chapter 1: geometrical constructions, balbharati 7th standard mathematics (class 7) chapter 1: geometrical constructions exercises.

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