# NCERT Solutions for Class 7 Math

NCERT Solutions are considered an extremely helpful resource for exam preparation. Meritnation.com gives its users access to a profuse supply of NCERT questions and their solutions. CBSE Class 7 Math NCERT Solutions are created by experts of the subject, hence, sure to prepare students to score well. The questions provided in NCERT Books are prepared in accordance with CBSE, thus holding higher chances of appearing on CBSE question papers. Not only do these NCERT Solutions for Class 7 Math strengthen students’ foundation in the subject, but also give them the ability to tackle different types of questions easily.

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

- NCERT Solutions for Class 7 Maths Chapter 1 - Integers
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. - NCERT Solutions for Class 7 Maths Chapter 2 - Fractions and Decimals
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. - NCERT Solutions for Class 7 Maths Chapter 3 - Data Handling
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**

**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. - NCERT Solutions for Class 7 Maths Chapter 4 - Simple Equations
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**

At the end summary of the chapter-**Simple Equations**is given to provide a quick revision.

- NCERT Solutions for Class 7 Maths Chapter 5 - Lines and Angles
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**

**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. - NCERT Solutions for Class 7 Maths Chapter 6 - The Triangle and its Properties
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**

Important points of the chapter are discussed in the summary of the chapter-**The Triangle and its Properties**. - NCERT Solutions for Class 7 Maths Chapter 7 - Congruence of Triangles
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. - NCERT Solutions for Class 7 Maths Chapter 8 - Comparing Quantities
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.** - NCERT Solutions for Class 7 Maths Chapter 9 - Rational Numbers
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.

**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 number**s 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. - A
- NCERT Solutions for Class 7 Maths Chapter 10 - Practical Geometry
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).**

- NCERT Solutions for Class 7 Maths Chapter 11 - Perimeter and Area
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. - NCERT Solutions for Class 7 Maths Chapter 12 - Algebraic Expressions
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**

All important points of the chapter are cited in the end under the title-**What Have We Discussed**? - NCERT Solutions for Class 7 Maths Chapter 13 - Exponents and Powers
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**-**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 chapter**.**The 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. - NCERT Solutions for Class 7 Maths Chapter 14 - Symmetry
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**

For a perfect finish, important points are mentioned in the form of summary at the end of the chapter-**symmetry.** - NCERT Solutions for Class 7 Maths Chapter 15 - Visualising Solid Shapes
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**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.