Ncert Maths Book Solution of Class 7th
Practising NCERT questions are the best way to prepare for your exams; the ultimate goal for any student is to score good marks on their paper. Practice with NCERT class 7 maths solutions and achieve your desired academic goals. At Embibe, our team of experts and researchers have collectively worked together to provide you with updated solutions, keeping in mind all the steps needed to complete the answer sheet. We aim to provide students with error-free NCERT Class 7 Maths Solutions to use them effectively for their preparations. We suggest students practice for their test, keeping these NCERT Solutions in mind so that they can follow each step and refer to them at the end of their attempt. These step-by-step solutions with detailed explanations are provided for free to students so that they can be well-prepared for their exams.
Students must learn all the concepts and theories and should be able to implement the same in their respective practical lives. Students who are looking for the direct link to NCERT Maths Class 7 Solution PDF for free download must refer to this article. In this article, we have provided the links for NCERT Solutions for Class 7 Maths PDF free download so that students can access it at any point in time. The best part is that the NCERT Maths class 7 solutions PDF by Embibe are prepared in full accordance with the latest CBSE curriculum and NCERT syllabus. Moreover, each and every solution is explained with relevant illustrations (wherever necessary) to help you understand the topics better. This article will provide you with a direct link to the Class 7 Maths PDF with solutions.
Chapter-Wise NCERT Solutions for Class 7: Link for Free PDF Download
For efficient learning, use the NCERT answers given by Embibe now. You should certainly refer to the NCERT Solution for Class 7 Maths if you want to improve your understanding and create a firm basis for higher levels. It will be easier for you to learn if you refer to this PDF. You will find everything you need right here. Now is the time to get the PDF and start studying. Students can download the NCERT Class 7 Maths Book PDF with answers by clicking the chapter number below:
The NCERT Maths Book Class 7 solutions PDF is now available for free download from Embibe's website. All of the solutions to the NCERT textbook for class 7 Maths are included in the PDF. You should certainly refer to the PDF if you wish to get good grades in examinations or master the ideas of the Class 7 Maths syllabus. After much study and development, professionals have created this PDF. You may totally rely on this PDF for your preparation because it not only follows the CBSE rules and syllabus but also uses language that is both understandable and appropriate for the grade level.
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NCERT Class 7 Maths Solutions: Chapter Descriptions
All students are advised to refer to Class 7th Maths NCERT Solutions/Class 7 NCERT Maths solution by Embibe to master the mathematics concepts and score high in the final exams. Our academic experts have solved all the exercise questions keeping in mind the latest syllabus prescribed by the CBSE board. We have prepared NCERT Solution for Class 7th Maths in a manner that any 7th class student can understand and ace the exam.
NCERT Class 7 Maths Chapter 1: Integers Solutions
NCERT Maths Guide for Class 7 Chapter 1: We have learnt about whole numbers and integers in Grade 6. We know that integers from a bigger collection of numbers that contains whole numbers and negative numbers. What other differences do you find between whole numbers and integers? In this chapter, we will study more about integers, their properties, and their operations.
The idea of integers will be presented to students in this chapter. They will discover what an integer is and how it relates to natural and whole numbers. They will figure out how to write integers on a number line. Additive inverse and other terms will be presented. The total number of questions in Exercise 1.1 is ten. Students will learn about the properties of integer addition and subtraction after completing activity 1. Exercise 1.2 includes four questions and is based on integer characteristics. The pupils will then learn about integer multiplication and the characteristics of integer multiplication. 9 questions are included in Exercise 1.3, all of which are based on the above-mentioned principles. The division of integers is the next concept that the students will study. The last exercise, exercise 1.4, has seven problems on integer division.
Chapter 1 of Class 7 Maths consists of the following exercises:
- 1.1 Introduction
- 1.2 Recall
- 1.3 Properties Of Addition And Subtraction Of Integers
- 1.4 Multiplication Of Integers
- 1.5 Properties Of Multiplication Of Integers
- 1.6 Division Of Integers
- 1.7 Properties Of Division Of Integers
NCERT Class 7 Maths Chapter 2: Fractions and Decimals Solutions
NCERT Maths Guide for Class 7 Chapter 2: The study of fractions includes proper, improper, and mixed fractions as well as their addition and subtraction. We will also study the comparison of fractions, equivalent fractions, representation of fractions on the number line, and ordering of fractions. Our study of decimals will include their comparison, their representation on the number line, and their addition and subtraction. In this chapter, we will learn the multiplication and division of fractions as well as decimals. Chapter 2 of Class 7 Maths consists of the following exercises:
- 2.1 Introduction
- 2.2 How Well Have You Learnt About Fractions?
- 2.3 Multiplication Of Fractions
- 2.4 Division Of Fractions
- 2.5 How Well Have You Learnt About Decimal Numbers
- 2.6 Multiplication Of Decimal Numbers
- 2.7 Division Of Decimal Numbers
NCERT Class 7 Maths Chapter 3: Data Handling Solutions
NCERT Maths Guide for Class 7 Chapter 3: In this chapter, we will take one more step towards learning how to do data handling. You will come across some more kinds of data and graphs. There are several kinds of data in newspapers, magazines, television, and other sources. You will also know that all data give us some sort of information. Chapter 3 of Class 7 Maths consists of the following exercises:
- 3.1 Introduction
- 3.2 Collecting Data
- 3.3 Organisation Of Data
- 3.4 Representative Values
- 3.5 Arithmetic Mean
- 3.6 Mode
- 3.7 Median
- 3.8 Use Of Bar Graphs With A Different Purpose
- 3.9 Chance And Probability
NCERT Class 7 Maths Chapter 4: Simple Equations Solutions
NCERT Maths Guide from Class 7 Chapter 4: Suppose a basket contains some apples and oranges. The number of oranges is thrice the number of apples. The total number of fruits in the basket is 200. How do you find the number of apples and oranges? There are 50 apples and 150 oranges. These are examples of problems that can be solved using simple equations. In this section, we will study simple equations and how to solve them. Chapter 4 of Class 7 Maths consists of the following exercises:
- 4.1 A Mind-Reading Game!
- 4.2 Setting Up Of An Equation.
- 4.3 Review Of What We Know.
- 4.4 What Equation Is?
- 4.5 More Equations.
- 4.6 From Solution To Equation.
- 4.7 Applications Of Simple Equations To Practical Situations.
NCERT Class 7 Maths Chapter 5: Lines and Angles Solutions
NCERT Maths Guide for Class 7 Chapter 5: In geometry, lines are figures are made up of infinite points extending indefinitely in both directions. Lines are straight and have negligible depth or width. There are a variety of lines you will learn about, such as perpendicular lines, intersecting lines, transversal lines, etc. So, in this chapter, we will learn about lines, angles, and their properties. Chapter 5 of Class 7 Maths consists of the following exercises:
- 5.1 Introduction.
- 5.2 Related Angles.
- 5.3 Pairs Of Lines.
- 5.4 Checking For Parallel Lines.
NCERT Class 7 Maths Chapter 6: Triangle and its Properties Solutions
NCERT Maths Guide for Class 7 Chapter 6: This chapter will teach students that the six elements of a triangle are its three angles and the three sides. The perpendicular line segment from a vertex of a triangle to its opposite side is called the altitude of the triangle. Students will also know that an exterior angle of a triangle is formed when a side of a triangle is produced. Chapter 6 of Class 7 Maths consists of the following exercises:
- 6.1 Introduction.
- 6.2 Medians Of A Triangle.
- 6.3 Altitudes Of A Triangle.
- 6.4 Exterior Angle Of A Triangle And Its Property.
- 6.5 Angle Sum Property Of A Triangle.
- 6.6 Two Special Triangles: Equilateral And Isosceles.
- 6.7 Sum Of The Lengths Of Two Sides Of A Triangle.
- 6.8 Right-Angled Triangles And Pythagoras Property.
NCERT Class 7 Maths Chapter 7: Congruence of Triangles Solutions
NCERT Maths Guide for Class 7 Chapter 7: Congruence of Triangles teaches students that congruent objects are exact copies of one another. The method of superposition examines the congruence of plane figures. Students will also know SSS Congruence of two triangles – under a given correspondence, two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other. Chapter 7 of Class 7 Maths consists of the following exercises:
- 7.1 Introduction.
- 7.2 Congruence Of Plane Figures.
- 7.3 Congruence Among Line Segments.
- 7.4 Congruence Of Angles.
- 7.5 Congruence Of Triangles.
- 7.6 Criteria For Congruence Of Triangles.
- 7.7 Congruence Among Right-Angled Triangles.
NCERT Class 7 Maths Chapter 8: Comparing Quantities Solutions
NCERT Maths Guide for Class 7 Chapter 8: Class 7 Maths Chapter 8 explains the importance of comparing two quantities in our daily life. They may be heights, weights, salaries, marks, etc. While comparing the heights of two persons with heights 150 cm and 75 cm, we write it in the form of a ratio – 150:75 or 2:1. Two ratios can be compared by converting them to like fractions. If the two fractions are equal, we say the two given ratios are equivalent. Chapter 8 of Class 7 Maths consists of the following exercises:
- 8.1 Introduction.
- 8.2 Equivalent Ratios.
- 8.3 Percentage – Another Way Of Comparing Quantities.
- 8.4 Use Of Percentages.
- 8.5 Prices Related To An Item Or Buying And Selling.
- 8.6 Charge Given On Borrowed Money Or Simple Interest.
NCERT Class 7 Maths Chapter 9: Rational Numbers Solutions
NCERT Maths Guide for Class 7 Chapter 9: Two rational numbers with different denominators are added by first taking the LCM of the two denominators and then converting both the rational numbers to their equivalent forms having the LCM as the denominator. This chapter will teach students that the number 0 is neither a positive nor a negative rational number. Chapter 9 of Class 7 Maths consists of the following exercises:
- 9.1 Introduction
- 9.2 Need For Rational Numbers.
- 9.3 What Are Rational Numbers?
- 9.4 Positive And Negative Rational Numbers.
- 9.5 Rational Numbers On A Number Line.
- 9.6 Rational Numbers In Standard Form.
- 9.7 Comparison Of Rational Numbers.
- 9.8 Rational Numbers Between Two Rational Number.
- 9.9 Operations On Rational Numbers.
NCERT Class 7 Maths Chapter 10: Practical Geometry Solutions
NCERT Maths Guide for Class 7 Chapter 10: This chapter teaches students about the construction of a line parallel to a given line, through a point not on the line. Further, the construction of a triangle when the lengths of its three sides are known (SSS Criterion) has been taught here. Students will also learn how to construct a right-angled triangle when the length of one leg and its hypotenuse are given (RHS Criterion). Chapter 9 of Class 7 Maths consists of the following exercises:
- 10.1 Introduction
- 10.2 Construction Of A Line Parallel To A Given Line, Through A Point Not On The Line.
- 10.3 Construction Of Triangles.
- 10.4 Constructing A Triangle When The Lengths Of Its Three Sides Are Known (SSS Criterion)
- 10.5 Constructing A Triangle When The Lengths Of Two Sides And The Measure Of The Angle Between Them Are Known. (SAS Criterion)
- 10.6 Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (ASA Criterion)
- 10.7 Constructing A Right-Angled Triangle When The Length Of One Leg And Its Hypotenuse Are Given (RHS Criterion).
NCERT Class 7 Maths Chapter 11: Perimeter and Area Solutions
NCERT Maths Guide for Class 7 Chapter 11: In this chapter, you will learn how to calculate the perimeter and area of the square and rectangle. You will find out how the formula for the area of the triangle is calculated from the area of the rectangle. You will also discover the formula for the area of the parallelogram. Chapter 10 of Class 7 Maths consists of the following exercises:
- 11.1 Introduction.
- 11.2 Squares And Rectangles.
- 11.3 Area Of A Parallelogram.
- 11.4 Area Of A Triangle.
- 11.5 Circles.
- 11.6 Conversion Of Units.
- 11.7 Applications.
NCERT Class 7 Maths Chapter 12: Algebraic Expressions Solutions
NCERT Maths Guide for Class 7 Chapter 12: Algebraic expressions are formed by the relationship between variables. A variable is just a factor that can take many values. We usually represent variables as some letters like a, b or x, etc. In this chapter, you will discover how to form an algebraic expression. Chapter 12 of Class 7 Maths consists of the following exercises:
- 12.1 Introduction.
- 12.2 How Are Expressions Formed?
- 12.3 Terms Of An Expression.
- 12.4 Like And Unlike Terms.
- 12.5 Monomials, Binomials, Trinomials And Polynomials.
- 12.6 Addition And Subtraction Of Algebraic Expressions.
- 12.7 Finding The Value Of An Expression.
- 12.8 Using Algebraic Expressions – Formulas And Rules.
NCERT Class 7 Maths Chapter 13: Exponents Solutions
NCERT Maths Guide for Class 7 Chapter 13: Exponents are the power of the number. We need to apply different rules when we are dealing with exponents. In this chapter, you will see the multiplication, addition, division, etc. of numbers having exponents. Chapter 13 of Class 7 Maths consists of the following exercises:
- 13.1 Introduction.
- 13.2 Exponents.
- 13.3 Laws Of Exponents.
- 13.4 Miscellaneous Examples Using The Laws Of Exponents.
- 13.5 Decimal Number System.
- 13.6 Expressing Large Numbers In The Standard Form.
NCERT Class 7 Maths Chapter 14: Symmetry Solutions
NCERT Maths Guide for Class 7 Chapter 14: Symmetry can be found everywhere in nature as well as in our day-to-day lives. An object is said to be symmetrical if it can be divided into two parts and both the parts are identical to each other. Symmetry can be found in ancients civilizations, mostly in the architecture of the buildings. In this chapter, you will learn about how symmetry is used in day-to-day life. Chapter 14 of Class 7 Maths consists of the following exercises:
- 14.1 Introduction: Symmetry
- 14.2 Lines Of Symmetry For Regular Polygons.
- 14.3 Rotational Symmetry.
- 14.4 Line Symmetry And Rotational Symmetry.
NCERT Class 7 Chapter 15: Visualizing Solid Shapes Solutions
NCERT Maths Guide for Class 7 Chapter 15: This chapter deals with the classification of various objects based on their shapes. Like the circle, the square, the rectangle, the quadrilateral, and the triangle are examples of plane figures; the cube, the cuboid, the sphere, the cylinder, the cone, and the pyramid are examples of solid shapes. Here, you will learn how to make sketches of solid objects on a plane. You will learn how to see the solid from different angles and have them drawn on paper. Chapter 15 of Class 7 Maths consists of the following exercises:
- 15.1 Introduction: Plane Figures And Solid Shapes.
- 15.2 Faces, Edges, and Vertices.
- 15.3 Nets For Building 3-D Shapes.
- 15.4 Drawing Solids On A Flat Surface.
- 15.5 Viewing Different Sections Of A Solid.
Why Choose Embibe for NCERT Maths Class 7?
Here are some advantages of NCERT Solutions for 7th Class Maths by Embibe:
- Covers All the Fundamentals: All exercise questions have been covered. We have explained how we have substituted and arrived at the answer. These will help you have a better understanding of the related concepts.
- Helps in Completing Assignments: If you are planning to complete your assignments on time then these NCERT Solutions could be of great help to you. You can go through these NCERT Solutions and understand how our experts have come up with the answer.
- Proves Helpful for Competitive Exams: All solutions are really helpful for various competitive examinations like the Olympiads.
- Follows CBSE Guidelines: All CBSE guidelines have been followed while framing the answers. We have included every step while explaining the NCERT Solutions.
- Helps in Quick Revision: You can use these NCERT Solutions for a quick revision of the chapters before the exam. You will be able to glance through all the topics and formulas in a quick span of time.
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NCERT Books for Class 7 Maths
NCERT Books are one of the most important resources for students of Class 7. We understand how difficult it can be for some students to download Class 7 NCERT Books from the official website. Therefore, we have provided Class 7 Maths Books so that any 7th Class student can download it for free to study in offline mode. Moreover, students can also download the NCERT Maths solution for class 7 in PDF format for studying offline.
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7th Class Maths Guide: How to Prepare for Class 7 Maths?
Given below are some of the preparation tips for Class 7 students for Maths subject:
- Prepare a plan/schedule for your studies. This is especially helpful before exams as you can refer to the plan and avoid wasting time thinking about what to study.
- Maths is all about practice. Therefore, you should practice problems/questions regularly.
- Cover all the topics beforehand so that you do not feel overwhelmed right before the exams.
- Solve as many sample papers and take as many mock tests as possible. This will improve your speed and accuracy and give you an understanding of the variety of questions.
Some Important Questions for 7th Grade Maths
We have provided some important questions for Class 7 Maths to help you understand the subject better. We have also included questions from NCERT Exemplar.
| Question 1: Taking today as zero on the number line, if the day before yesterday is 18 February, what is the date on 3 days after tomorrow? |
| Question 2: Reema reads 1/5th page of a book. If she reads further 40 pages, she would have read 7/10th page of the book. How many pages are left to be read? |
| Question 3: A bag contains 4 white and 8 red balls. One ball is drawn at random from the bag. Find the probability of getting (a) a white ball (b) a red ball |
| Question 4: The present age of a son is half the present age of his father. Ten years ago, the father was thrice as old as his son. What is their present age? |
| Question 5: Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle. |
| Question 6: I have three sides. One of my angles measures 15°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I? |
| Question 7: The price of a is machine ₹ 7500. Its value decreases by 5% every year. What will be its price after one year? |
| Question 8: During a sale, the cost of an object is ₹ 260 with 20% off. The same object is available at other shops for ₹ 455 with a 6% discount. Which is a better deal and by how much? |
| Question 9: Construct a ΔLMN in which m∠l = 60° and m∠m = 30°, MN = 3.6 cm. |
| Question 10: A park in the shape of a rectangle is 56 m long and 40 m wide. A path 3.5 m wide is constructed outside the park. Find the area of the path. |
| Question 11: If X = -(3x + 2), Y = -3(x – 2) and Z = -3x + 7. Find the value of k if (X + Y + Z) = kx. |
| Question 12: A playground is 160 m long and 80 m wide. In it 80 m × 80 m is kept for swings and in the remaining portion, there are 1.5 m wide paths parallel to its width and parallel to its remaining length as shown in Figure. The remaining area is covered by grass. Find the area covered by grass. |
| Question 13: The present age of a son is half the present age of his father. Ten years ago, the father was thrice as old as his son. What is their present age? |
| Question 14: Solve the equation: 3(y – 2) = 2(y – 1) – 3 |
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Learn & Practice Class 7 Maths Lessons With Embibe
At Embibe, you can solve freeClass 7 Practice Questionsfor Science and Maths or take freeClass 7 Mock Tests. These tests and practice questions will help you to strengthen your concepts and problem-solving abilities. Students can follow the steps listed below to take a Class 7 foundation mock test:
– 1st Step: Visitembibe.com. To have the best experience, log in to your account. If you are visiting the site for the first time, register yourself.
– 2nd Step: At the time of registration, you need to select your goal. Choose your board for example, "CBSE" then "7th CBSE", and click on "Done".
– 3rd Step: To practice questions for Class 7 CBSE, click on "Practice" option at the top. If you want to take a mock test, click on "Test" option.
– 4th Step: Select the subject you want to take the test/practice questions for.
– 5th Step: Click on the chapter name for which you want to practice questions. Then click on 'Practice Now' to start practising questions.
– 6th Step: If you want to take mock tests for any subject, you have the option to take chapter-wise tests or full subject tests. Click on any test link and then click on "Start Test" to start the test.
FAQs Related to NCERT Solutions Class 7 Maths
Here are some frequently asked questions and their answers related to NCERT Guide for Class 7:
Q1. How can the NCERT Solutions for Grade 7th Mathematics help me?
A1. While solving the exercise questions from your NCERT books for Class 7 Maths, if you get stuck in the middle, you can refer to the NCERT Guide provided by Embibe. There are many more advantages of referring to the NCERT Solutions provided in this article.
Q2. From where can I get the Maths Class 7 NCERT Solutions PDF for free?
A2. You can download the complete NCERT Answer Key PDF for Class 7 Maths free from Embibe. We have provided detailed solutions for each chapter exercise-wise.
Q3. Are these NCERT Solutions Class 7 Maths by Embibe as per the CBSE curriculum?
A3. Yes, all the NCERT Solutions have been solved by the academic experts at Embibe as per the CBSE curriculum.
Q4. Are the NCERT Maths books along with Embibe's NCERT Maths solutions enough for CBSE grade 7th?
A4. Yes, for CBSE Class 7, the NCERT Maths textbook is enough. Make sure you finish the book thoroughly. Refer to the NCERT solutions provided on this page whenever you face any difficulty.
Q5. Is the NCERT Class 7 Maths book enough for Olympiads?
A5. The NCERT Maths book for Class 7 will definitely help you in your preparation for the Olympiad exams. But you must also refer to some advanced books to practice higher-level questions.
Q6. How to memorise the Maths formulas for Class 7?
A6. The best way to memorize the Maths formulas for Class 7 is by solving practice questions while referring to the formulas. The more you practice, the better you get at applying them to solve questions.
We hope that these 7th class Maths book Solutions help you in your studies. If you have any doubts, then you can ask in the comment section below. We will get back to you at the earliest.
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Ncert Maths Book Solution of Class 7th
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