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CloseThe NCERT Solutions for Class 7 Maths are provided in Home Revise study App, where we have provided all the solution and concepts in an animated format. Practising NCERT Solutions is the ultimate need for students who intend to score good marks in Maths examination. Students facing trouble in solving problems from NCERT Class 7 Maths Book can refer from Home Revise study App or offline software can get installed in your laptop or desktop.

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Students are advised to go through these NCERT Solutions for Class 7 Maths in home revise study app. All the solutions are in line with the CBSE guidelines and presented in a stepwise manner so that students can understand the logic behind every problem while practicing.

CBSE NCERT Solutions For Class 7

Chapter 1: Integers.

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.

Chapter 1 involves the study of Integers. In the previous classes, we have learnt about whole numbers and integers. Now, In NCERT Solutions Maths Class 7, we will study more about integers, their properties and operations. Likewise, In NCERT Class 7 Maths book we can study the addition and the subtraction of the integers, properties of addition and subtraction of integers, multiplication and division of integers, properties of multiplication and division of integers.

- Introduction
- Properties of addition and subtraction of integers
- Properties of multiplication of integers
- Properties of division of integers

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In Chapter 2, we will learn about fractions and decimals along with the operations of addition and subtraction on them. In NCERT Solutions Maths Class 7 We also learnt how to multiply two decimal numbers. While multiplying two decimal numbers, first multiply them as whole numbers. Count the number of digits to the right of the decimal point in both the decimal numbers. Add the number of digits counted. Put the decimal point in the product by counting the digits from its rightmost place. The count should be the sum obtained earlier. In NCERT Class 7 Maths Syllabus we will also study the operations of multiplication and division on fractions as well as on decimals. There are methods for how two fractions are multiplied by multiplying their numerators and denominators separately and writing the product. How to obtain a reciprocal of a fraction is obtained by inverting it upside down. In NCERT Class 7 Maths Book topic included are as follows

- Introduction.
- Multiplication of fractions
- Division of fractions
- Multiplication of decimal numbers
- Division of decimal numbers
- Division of decimal numbers by another decimal number

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In NCERT Class 7 Maths Book Chapter 3, we will know about the collection, recording and presentation of data. Before collecting data, we need to know that the data that is collected needs to be organised in a proper table so that it becomes easy to understand and interpret. In NCERT Class 7 Maths Syllabus we will also discuss the average that is a number that represents or shows the central tendency of a group of observations or data along with arithmetic mean, Mode, which is another form of central tendency or symbolic value and Medium. Median is also a form of symbolic value. It refers to the value which lies in the middle of the data with half of the observations above it and the other half below it. In NCERT Solutions Maths Class 7 Bar graph and using bars of uniform widths and Double bar graphs to compare two collections of data at a glance is also given in Maths Class 7 NCERT Solutions Chapter 3 Data Handling. In the end, there are questions based on the probability that describes the situations in our daily life that are certain to happen, some that are impossible and some that may or may not happen

- Introduction
- Collecting data
- Organisation of data
- Representative values
- Arithmetic mean
- Mode
- Median
- Use of bar graphs with a different purpose.

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Chapter 4 describes an equation which is a condition on a variable such that two expressions in the variable should have equal value. In NCERT Solutions Maths Class 7 chapter 4 it also tells about the value of the variable for which the equation is satisfied is called the solution of the equation. We know that an equation remains the same if the LHS and the RHS are interchanged. Addition or subtraction on both the sides equally in an equation remains it unchanged. This is the property which is used to solve the equation. Transposition of a number has the same effect as adding or subtracting the same number to both sides of the equation. In Maths Class 7 NCERT Solutions Chapter 4 Simple Equations described. How to construct simple algebraic expressions corresponding to practical situations and using the technique of doing the same mathematical operation on both sides, we can build an equation starting from its solution. In chapter 4 topics included are as follows:

- Introduction
- Applications of simple equations to practical situations

We already know that a line segment has two endpoints and a ray has only one endpoint. In class 6 Maths, we have studied that a line has no endpoints on either side. Now in NCERT Class 7 Maths Book Chapter 5, we have to discuss pairs of angles condition like two complementary angles (Measures add up to 90°), two supplementary angles (Measures add up to 180°), two adjacent angles (Have a common vertex and a common), Linear pair, Adjacent and supplementary angles. Do you know? When two lines intersect, the meeting point is called the point of intersection and when lines drawn on a sheet of paper do not meet, however far produced, we call them to be parallel lines. In Maths Class 7 NCERT Solutions Chapter 5 we have to study about two pairs of opposite angles, called vertically opposite angles. We also go through about a transversal is a line that intersects two or more lines at distinct points. Chapter 5 will also be helpful in Chapter 6 Triangles and its properties. Through Home Revise Maths NCERT Solutions for Class 7, you can score the maximum marks in this section. In NCERT Class 7 Maths Book topic included for chapter 5 are as follows:

- Introduction
- Related angles

Chapter 6 describes the six elements of a triangle are its three angles and the three sides. It also briefs about three medians and three altitudes of the triangle. We know that an exterior angle of a triangle is formed when a side of a triangle is produced. So, we can have two ways of forming an exterior angle. We have to learn by heart that the measure of any exterior angle of a triangle is equal to the sum of the measures of its interior opposite angles and the angle sum property of a triangle, which tells that the total measure of the three angles of a triangle is 180°. In Maths Class 7 NCERT Solutions chapter 6 we have to read about an equilateral triangle in which each angle has measure 60° and an isosceles if at least any two of its sides are of the same length. In NCERT Solutions Maths Class 7 chapter 6, We will use the property of the lengths of sides of a triangle to solve various sums quickly. There is the introduction of Pythagoras property also which may be useful in further classes also. From Home Revise, you can comprehend this topic properly using the several examples and solved problems shared by our experts on the Home revise app. In NCERT Class 7 Maths Book chapter 6 topics included are as follows:

- Introduction
- Medians of a triangle
- Altitudes of a triangle
- Exterior angle of a triangle and its property
- Angle sum property of a triangle
- Two special triangles : Equilateral and Isosceles
- Sum of the lengths of two sides of a triangle
- Right-Angled triangles and pythagoras property

Do you know that congruent objects are exact copies of one another? In Maths Class 7 NCERT Solutions Chapter 7, we will study about the congruence of triangles and their theorems also. In this chapter, it is explained how the method of superposition examines the congruence of plane figures. There are four main rules of congruence of two triangles. SSS, SAS, ASA and RHS congruence rules. Here, S denotes the side, and A denotes the angle of the triangle. There is no such thing as AAA Congruence of two triangles. This chapter is much useful to solve geometrical questions, even in higher classes. With the help of Home Revise and our NCERT Maths Class 7 solutions and explanations, you can understand and learn the theorems and their applications and solve the problems quickly. In chapter 7 topics included are as follows:

- Introduction
- Congruence of plane figures
- Congruence among line segments
- Congruence of angles
- Congruence of triangles
- Criteria for congruence of triangles
- Congruence among right-angled triangles

Chapter 8 Comparing quantities means to find the relative ratio between two or more quantities. We are often required to compare two quantities in our daily life. So, NCERT Maths Class 7 Chapter 8 Comparing Quantities will help to find these comparisons. Quantities may be heights, weights, salaries, marks etc. 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. If two ratios are equivalent, then the four quantities are said to be in proportion. We may also use percentage for comparing quantities. Percentages are numerators of fractions with denominator 100. Percentages are widely used in our daily life. In chapter 8 topics included are as follows:.

- Introduction
- Equivalent ratios
- Percentage – another way of comparing quantities
- Use of percentages
- Prices related to an item or buying and selling
- Charge given on borrowed money or simple interest

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Chapter 9 describes Rational numbers are very common to us as it is already used in previous classes. We know that a number that can be expressed in the form p/q, where p and q are integers and q is not equal to 0, is called a rational number. The numbers ½, 2/5, 7/2, etc. are the example of rational numbers. All integers and fractions are rational numbers. NCERT Class 7 Maths book Chapter 9 Rational Numbers provides a perfect practice of sum based on Rational numbers. When the numerator and denominator, both, are positive integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number. The number 0 is neither a positive nor a negative rational number. Here in NCERT Maths Class 7 chapter 9, we will also learn about the standard form of a rational number and how to find the sum, product, division and difference of two rational numbers using numerator and denominator adjustment. In chapter 9 topics included are as follows:

- Introduction
- Need for rational numbers
- What are rational numbers
- Positive and negative rational numbers.
- Rational numbers on a number line
- Rational numbers in standard form
- Comparison of rational numbers
- Rational numbers between two rational numbers
- Operations on rational numbers

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Chapter 10 we looked into the methods constructing figures using ruler and compasses. Class 7 Maths Chapter 7 Congruence of Triangle is used in this chapter to draw triangular figures. During the construction, if a line is given and a point not on it, we use the idea of ‘equal alternate angles’ in a transversal diagram to draw a line parallel to the given line. We could also have used the idea of ‘equal corresponding angles’ to do the construction. Properties of congruence triangles like SSS, ASA, SAS and RHS may also be useful during the study of Chapter 10 of 7th Mathematics. In chapter 10 topics included are as follows:

- Introduction
- Construction of a line parallel to a given line, through a point not on the line
- Construction of triangles 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)

Chapter 11 includes the mensuration of 2 – D figures. We know that perimeter is the distance around a closed figure whereas area is the part of the plane occupied by the closed figure. Here, in NCERT Maths Class 7 Chapter 11, we have to find the perimeter of various objects used in daily life. To find perimeter or area, we may use various formulae like the perimeter of a square = 4 × side, perimeter of a rectangle = 2 × (length + breadth), area of a square = side × side, area of a rectangle = length × breadth, etc. to reach the final results. Based on the conversion of units for lengths, studied earlier classes, the units of areas can also be used like 1 square cm = 100 square mm, 1 square m = 10000 square cm, and 1 hectare = 10000 square m. In NCERT Maths Class 7 chapter 11 topics included are as follows

- Introduction
- Squares and rectangles
- Area of a parallelogram
- Area of a triangle
- Circles
- Conversion of units

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In Maths Class 7 NCERT Solutions Chapter 12, we will learn how algebraic expressions are formed from variables and constants. In NCERT Maths Class 7 Chapter 12, we will also use the operations of addition, subtraction, multiplication and division on the variables and constants to form expressions. We should know that expressions are made up of terms, and terms are added to make an expression. Normally, a term is a product of factors and factors containing variables are said to be algebraic factors. The coefficient is the numerical factor in the term, and any expression with one or more terms is called a polynomial. Polynomials may be in the form of binomial or trinomials. Terms which have the same algebraic factors are like terms, whereas terms which have different algebraic factors are unlike terms. In NCERT Maths Class 7 chapter 12 topics included are as follows:

- Introduction
- Conversion of units
- Terms of an expression
- Like and unlike terms
- Monomials, binomials, trinomials and polynomials
- Addition and subtraction of algebraic expressions
- Using algebraic expressions – formulas and rules

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We know that vast numbers are difficult to read, understand, compare and operate upon. Chapter 13 of Class 7 Maths states the way to make all these easier. We use exponents, converting many of the large numbers in a shorter form. Exponents and Powers are useful for later on classes also. Numbers in exponential form obey certain laws, which are unique. The only practice provides a good understanding of Chapter 13 of Grade 7 Maths. In NCERT Maths Class 7 chapter 13 topics included are as follows:

- Introduction
- Exponents
- Laws of exponents
- Miscellaneous examples using the laws of exponents
- Decimal number system
- Expressing large numbers in the standard form

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In NCERT Class 7 Maths Syllabus, Chapter 14 is based on Symmetry. A figure has line symmetry if there is a line about which the figure may be folded so that the two parts of the figure will coincide. In NCERT Maths Class 7 Chapter 14,we know that regular polygons have equal sides and equal angles, so they have multiple lines of Symmetry. Each regular polygon has as many lines of Symmetry as it has sides. Mirror reflection leads to Symmetry, under which the left-right orientation has to be taken care of. It can be obtained by turning an object about a fixed point, where the fixed point is the centre of rotation. Similarly, we can find the angle of rotation, left turn or right turn. If, after a rotation, an object looks exactly the same, we say that it has a rotational symmetry. The study of Symmetry is important because of its frequent use in day-to-day life and more because of the beautiful designs it can provide us. In NCERT Maths Class 7 chapter 14 topics included are as follows

- Introduction
- Lines of symmetry for regular polygons
- Rotational symmetry
- Line symmetry and rotational symmetry

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In NCERT Class 7 Maths Syllabus we know that the circle, the square, the rectangle’ the quadrilateral and the triangle are examples of plane figures. Similarly, the cube, the cuboid, the sphere, the cylinder, the cone and the pyramid are examples of solid shapes. NCERT Solution for Class 7 Maths Chapter 15 tells about the shapes and sketches of these figures.If a plane figure is given, it will be considered as two-dimensions or 2-D and similarly 3-D for solid figures. The corners of a solid shape are called its vertices, the line segments of its skeleton are its edges and its flat surfaces are its faces. In NCERT Maths Class 7 book, Chapter 15 Visualising solid shapes is a very useful skill. Different sections of a solid can be viewed in many ways. In NCERT Maths Class 7 chapter 15 topics included are as follows:

- Introduction: plane figures and solid shapes
- Faces, edges and vertices
- Nets for building 3-D shapes
- Drawing solids on a flat surface
- Viewing different sections of a solid

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