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Our Class 7 Math textbook solutions give students an advantage with practical questions. These textbook solutions help students in exams as well as their daily homework routine. The solutions included are easy to understand, and each step in the solution is described to match the students’ understanding.

Math - NCERT Solutions for class 7

  • Mathematics NCERT Grade 7, Chapter 1: Integers- The chapter familiarizes students with the concept of integers. In the beginning, a detailed description of the topic Properties of Addition and Subtraction of Integers is given. Several properties of integers are explained in this section with a detailed explanation. The concept of  Multiplication of Integers is covered in detail and contains various subsections which focuses more deeply on the various methods and properties for multiplication of integers. 
    Division of the integers is the last topic of the chapter - Integers
    A total of 4 unsolved exercises are given in this chapter to make the concept more clear. 
    Summarization of all the important points of the chapter are at the end for a quick revision.  

  • Mathematics NCERT Grade 7, Chapter 2: Fractions and Decimals- The chapter deals with the concept of multiplication and division of fractions as well as of decimals. The first half of the chapter deals with the Multiplication of Fractions and the later part deals with the concept of Division of Fractions. Also, students will learn the concept of multiplication and division of a decimal numbers in this chapter.
    Reciprocal of fractions, proper and improper fractions are some other concepts that can be studied in this chapter. Understanding of the chapter is made easier as it contains various solved examples and a detailed explanation of every topic. 
    For quick revision, important points of the chapter Fractions and Decimals are listed in the end. 

  • Mathematics NCERT Grade 7, Chapter 3: Data Handling- Students have already dealt with various types of data. In this chapter, they will learn more about data. The first portion of the chapter covers all the concepts related to the collection of data as well as its organisation. Other topics covered in this part of the chapter:

    • Representative Values
    • Arithmetic Mean
    • Range
    • Mode
    • Median
    This chapter also provides an insight into the Use of Bar Graphs with a Different Purpose where both single and double bar graphs will be studied. Chance and Probability is the last topic discussed in this chapter. 
    For topic wise assessment unsolved problems are given in the chapter. The chapter contains 4 unsolved exercises.  

  • Mathematics NCERT Grade 7, Chapter 4: Simple equations- The beginning of the chapter is given in a very interesting way. It starts by citing a mind-reading game. A little recap of pre-known knowledge about the chapter is given in the chapter. The chapter discusses important topics like

    • What Equation Is?
    • Solving an equation
      • Transposing
      • Adding or subtracting number on both sides
    • Applications of Simple Equations To Practical Situations
    Solved examples are given to help the students understand better. There are 4 exercises in this chapter including questions related to forming an equation, finding their solutions and word problems.
    At the end summary of the chapter- Simple Equations is given to provide a quick revision.
      

  • Mathematics NCERT Grade 7, Chapter 5: Lines and Angles is all about different lines, line segments, and angles. This chapter throws light on topics such as related angles, pair of lines. The chapter deals with different types of angles and lines. All the types are discussed in detail and are supplemented with examples and short questions. 
    Angles discussed in the chapter are Complementary angles, Supplementary angles, Adjacent angles,Linear pair ,Vertically opposite angles.
    In next few topics students will read about:

    • Intersecting lines
    • Transversal 
    • Angles made by a transversal
    Some more angles to be discussed are Interior angles, Exterior angles, Pairs of Corresponding angles, Pairs of Alternate interior angles, Pairs of Alternate exterior angles, Pairs of interior angles on the same side of the transversal.
    Subsequently the topic- Checking for Parallel Lines is also discussed in the chapter- Lines and Angles. Several diagrams are also present in the chapter wherever required. The chapter consists of a set of questions to test the basic understanding of the chapter followed by the summary of the discussion. 

  • Mathematics NCERT Grade 7, Chapter 6: The Triangle and its Properties- This chapter talks about the following topics:

    • Medians of A Triangle
    • Altitudes of A Triangle
    • Exterior Angle of A Triangle And Its Properties
    • Angle Sum Property of A Triangle
    • Two Special Triangles: Equilateral and Isosceles
    • Sum of the Length of Two sides of A Triangle
    • Right- Angled Triangles And Pythagoras Property
     Assessment of the chapter is done through the 5 unsolved exercises given. Various solved examples associated with the chapter are given before every unsolved exercise. 
    Important points of the chapter are discussed in the summary of the chapter- The Triangle and its Properties.

  • Mathematics NCERT Grade 7, Chapter 7: Congruence of Triangles- The chapter gives an insight into the congruency of plane figures, line segments, angles, and triangles. The first section of the chapter deals with congruence. Exercise 7.1 is based on the same concept. The other half of the chapter deals with Criteria For the congruence of Triangles. Explanation of criterions is given in an interesting way, they are mentioned in the form of games. Students will be briefed about the following criterions:
    1. SSS
    2. SAS
    3. ASA
    Emphasis will also be laid upon the topic- Congruence Among Right- Angled Triangles. RHS congruence is an important topic which needs attention of students. 
    Later the chapter Congruence of Triangles concludes with a summary. 

  • ​Mathematics NCERT Grade 7, Chapter 8: Comparing Quantities: This chapter involves the use of ratios and percentages in comparing quantities.  The chapter starts by explaining Equivalent ratios. The next topic discussed is Percentage - Another Way of Comparing Quantities.
    Emphasis will also be laid upon the Use of percentages. Additionally, the prices related to an item or buying and selling will also be discussed. Lastly, the topic Charge Given on Borrowed Money or Simple Interest.
    Each section is supplemented with ample examples and a detailed explanation. To assess the understanding of students 3 unsolved exercises are given in the chapter.  In every section few short questions are given to test the conceptual understanding of students.
    This is a very important chapter not only from the examination point of view but also in handling the day to day life purchases.
    All the important points of the discussion are summarized at the end of the chapter- Comparing Quantities. 

  • Mathematics NCERT Grade 7, Chapter 9: Rational Numbers- As the name suggests, the chapter deals with rational numbers. A detailed explanation about rational numbers is given in the chapter.

    • A rational number is defined as a number that can be expressed in the form of p/q, where p and q are integers and q ≠ 0.
    Both positive and negative rational numbers are discussed. Subsequently, the concept of rational numbers on a number line is also explained. After this, in the first half of the chapter, some more topics like rational numbers in standard form, comparison of rational numbers and rational numbers between two rational numbers are explained. In the other half of the chapter, Operations on rational numbers are discussed. Various unsolved and solved problems are given for the assessment of students.
    The chapter Rational numbers end with the summary.   

  • Mathematics NCERT Grade 7, Chapter 10: Practical Geometry- It covers all the fundamentals of drawing parallel lines and construction of triangles. The chapter talks about the construction of a line parallel to a given line, through a point not on the line. The topic is explained with a well labelled diagrammatic description. There are two types of means of doing the same:
    1. Through paper folding when the point is not on the line
    2. Using ruler and compasses only
    Subsequently, the focus is given on the concepts involved in the construction of triangles.
    Explanation of the following topics are covered in a comprehensive manner:

    • Constructing a triangle when the lengths of its three sides are known (SSS criterion).
    • Constructing a triangle when the lengths of two sides and the measure of the angle between them are known (SAS criterion).
    • Constructing a triangle when the measures of two of its angles and the length of the side included between them is given(ASA criterion). 
    • Constructing a Right- Angled Triangle when the length of one leg and its hypotenuse are given(RHS criterion).
    A short overview of the chapter is given at the end. 

  • Mathematics NCERT Grade 7, Chapter 11: Perimeter and Area- This chapter gives all the details about perimeter and area of plane figures. The first half of the section deals with squares and rectangles. This is followed by finding area of parallelograms and triangles through formulas.
    In the other half of the chapter, circles are explained and also students will get the idea about circumference and area of circles.
    Last part of the chapter is about conversion of units and application based questions. One can learn how one unit is converted or written in terms of other units. Not only this, since the students have learnt about various formulas, their application becomes important where more than one formula can be applied in the same question.
    Students will be briefed about important points of the chapter perimeter and area in the end.   

  • Mathematics NCERT Grade 7, Chapter 12: Algebraic Expressions- The chapters give an insight into concepts related to algebraic expressions and related terms like terms in algebraic expressions, factors, and coefficients. Like and Unlike terms, their addition and subtraction are some other aspects discussed in this chapter.
    Terms like monomials, binomials, and polynomials are discussed in detail. Emphasis is given to important topics like Addition and subtraction of algebraic expressions.
    The next part of the section explains about Finding the Value of an Expression followed by the topic- Using Algebraic Expressions- Formulas and Rules. Here one will come across how algebraic expressions can be used to form

    • Perimeter formulas
    • Area formulas
    • Rules for number patterns
    • Some more number patterns
    • Pattern in geometry 
    Unsolved, solved exercises, questions in different patterns will make the chapter more comprehensible to students. 
    All important points of the chapter are cited in the end under the title- What Have We Discussed?

  • Mathematics NCERT Grade 8, Chapter 13: Exponents and Powers- This chapter highlights all the concepts related to exponents and powers. Initially, the concept of exponents will be discussed. Once the concept of exponents is understood, the next step is to study the laws of exponents.
    After that, the topic- miscellaneous examples using the laws of exponents is covered where various examples covering the combination of the laws of exponents will be given. Decimal number system and expressing large numbers in the standard form are the next topic in this chapterThe chapter includes 3 unsolved exercises and various solved examples.
    The chapter comprises a summary in which all the important concepts of the chapter- Exponents and Powers are mentioned.

  • Mathematics NCERT Grade 7, Chapter 14: Symmetry- The chapter strengthen the ideas on symmetry. Students were already familiarized with the concept of the line of symmetry. In this chapter, the focus will be given on the Lines of symmetry for regular polygons. 
    This is followed by the concept of rotational symmetry.
    Definitions of some important terms are cited in the chapter such as:

    • Line symmetry
    • Regular polygons
    • Centre of Rotation
    • Angle of rotation
    • Order of rotational symmetry
    Each section contains solved and unsolved questions for the purpose of understanding and practising respectively.
    For a perfect finish, important points are mentioned in the form of summary at the end of the chapter- symmetry. 

  • Mathematics NCERT Grade 7 Chapter 15: Visualising Solid Objects- The chapter focusses on different plane figures and solid shapes. In the first half of the chapter, Faces, Edges and vertices are discussed followed by  nets for building 3D shapes. Drawing solids on a flat surface is explained with the help of oblique sketches and isometric sketches. Moving towards end of the chapter- Visualising Solid Objects, concept of Viewing different sections of a solid will be discussed. Different methods like cutting or slicing an object, shadow play using light source, observing through different angles is discussed. Top view, front view and side view are three views an object can have. Total 4 unsolved exercises are given in this chapter. Each exercise is enriched with adequate number of questions for practice. All the sections of chapter are explained in great detail. 
    8 points are listed in the summary of chapter in the end.

Other Textbook Solutions for Class 7 Math