NCERT Solutions for Class 7 Maths

Expansion of Mathematical Areas
Before the Renaissance, mathematics was primarily divided into arithmetic and geometry. The introduction of algebra and calculus marked significant expansions. The 19th century saw a foundational crisis in mathematics, leading to the systematization of the axiomatic method and the emergence of over 60 first-level areas in mathematics.

Class 7 Maths solutions are widely used by students and teachers in Bharat to prepare for class 7 math exams and to build a strong foundation in mathematics. They can be found in various formats, including printed books, online PDFs, and digital resources. Students often refer to NCERT solutions alongside their textbooks to practice and understand mathematical concepts better.

Class 7 Solution Apps
Tiwari Academy has an experienced and dedicated team of teachers who will help students clear all their doubts and help them score high marks in exams. The NCERT Solutions for 7th Maths are available online and can be accessed and downloaded for free in Hindi and English Medium in PDF Format.

These are easy to solve and provide step-by-step instructions. A complete description of each question is given in the solutions which are based on the latest NCERT Books 2023-24.

Tiwari Academy Class 7 Maths apps include interactive features such as quizzes, animations, and multimedia content to make learning more engaging and effective. Interactive elements can help students grasp complex concepts better.

NCERT Solutions for Class 7 Maths are available in both English Medium and Hindi Medium to download for offline use. These solutions are updated for current session 2023-24. Students can download Class 7 Solutions App containing all subject’s solutions in English and Hindi Medium.

Class 7 Maths Solutions & Main Points of All Chapters

Chapter 1: Integers

Class 7 Maths Chapter 1 in Hindi and English Medium PDF and video solutions are given here. We have done on a number line when we add a positive integer, and we move to the right.
Class 7 Maths Exercise 1.1
Class 7 Maths Exercise 1.2
Class 7 Maths Exercise 1.3
Class 7 Maths Exercise 1.1 in Hindi
Class 7 Maths Exercise 1.2 in Hindi
Class 7 Maths Exercise 1.3 in Hindi

To add a negative integer, we move to the left. Similarly, subtracting a positive integer, we move to the left and to subtract a negative integer, we move to the right. In class 7 Maths Chapter 1, we have to use these facts in applications of daily life.

Chapter 2: Fractions and Decimals

In Class 7 Maths Chapter 2, we will learn about fractions and decimals along with the operations of addition and subtraction on them. We also learnt how to multiply two decimal numbers.
Class 7 Maths Exercise 2.1
Class 7 Maths Exercise 2.2
Class 7 Maths Exercise 2.3
Class 7 Maths Exercise 2.4
Class 7 Maths Exercise 2.5
Class 7 Maths Exercise 2.1 in Hindi
Class 7 Maths Exercise 2.2 in Hindi
Class 7 Maths Exercise 2.3 in Hindi
Class 7 Maths Exercise 2.4 in Hindi
Class 7 Maths Exercise 2.5 in Hindi

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. 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. This concept is also used in Chapter 4 Simple Equations also.

Chapter 3: Data Handling

In Chapter 3 of Class 7 Maths, 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.
Class 7 Maths Exercise 3.1
Class 7 Maths Exercise 3.2
Class 7 Maths Exercise 3.3
Class 7 Maths Exercise 3.1 in Hindi
Class 7 Maths Exercise 3.2 in Hindi
Class 7 Maths Exercise 3.3 in Hindi

We will 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. 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 7th Maths 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.

Chapter 4: Simple Equations

Chapter 4 of Class 7 Maths describes an equation which is a condition on a variable such that two expressions in the variable should have equal value. It also tells about the value of the variable for which the equation is satisfied is called the solution of the equation.
Class 7 Maths Exercise 4.1
Class 7 Maths Exercise 4.2
Class 7 Maths Exercise 4.3
Class 7 Maths Exercise 4.1 in Hindi
Class 7 Maths Exercise 4.2 in Hindi
Class 7 Maths Exercise 4.3 in Hindi

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. Class 7 Chapter 4 Simple Equations describes here, 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.

Chapter 5: Lines and Angles

We already know that a line segment has two endpoints and a ray has only one endpoint. In class 7 Maths chapter 5, we have studied that a line has no endpoints on either side.
Class 7 Maths Exercise 5.1
Class 7 Maths Exercise 5.2
Class 7 Maths Exercise 5.1 in Hindi
Class 7 Maths Exercise 5.2 in Hindi

Now in Class 7 Maths 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 are drawn on a sheet of paper do not meet, however far produced, we call them to be parallel lines. In Chapter 5 of class 7 Maths, 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 helpful in Chapter 6 Triangles and its properties.

Chapter 6: The Triangles and Its Properties

Chapter 6 of Class 7 Maths 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.
Class 7 Maths Exercise 6.1
Class 7 Maths Exercise 6.2
Class 7 Maths Exercise 6.3
Class 7 Maths Exercise 6.4
Class 7 Maths Exercise 6.5
Class 7 Maths Exercise 6.1 in Hindi
Class 7 Maths Exercise 6.2 in Hindi
Class 7 Maths Exercise 6.3 in Hindi
Class 7 Maths Exercise 6.4 in Hindi
Class 7 Maths Exercise 6.5 in Hindi

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 chapter 6 of Class 7 Maths, 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. We will use the property of the lengths of sides of a triangle to solve various sums quickly.

Chapter 7: Comparing Quantities

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 Books of Class 7 Maths Chapter 7 Comparing Quantities will help to find these comparisons.
Class 7 Maths Exercise 7.1
Class 7 Maths Exercise 7.2
Class 7 Maths Exercise 7.1 in Hindi
Class 7 Maths Exercise 7.2 in Hindi

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.

Chapter 8: Rational Numbers

Rational numbers are very common to us as it is already used in previous classes. We study in Class 7 Maths Chapter 8 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.
Class 7 Maths Exercise 8.1
Class 7 Maths Exercise 8.2
Class 7 Maths Exercise 8.1 in Hindi
Class 7 Maths Exercise 8.2 in Hindi

The numbers ½, 2/5, 7/2, etc. are the example of rational numbers. All integers and fractions are rational numbers. Class 7 Maths Book Chapter 8 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, 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.

Chapter 9: Perimeter and Area

Class 7 Maths Chapter 9 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.
Class 7 Maths Exercise 9.1
Class 7 Maths Exercise 9.2
Class 7 Maths Exercise 9.1 in Hindi
Class 7 Maths Exercise 9.2 in Hindi

Here, 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.

Chapter 10: Algebraic Expressions

In Class 7 Maths Chapter 10, we will learn how algebraic expressions are formed from variables and constants. We will also use the operations of addition, subtraction, multiplication and division on the variables and constants to form expressions.
Class 7 Maths Exercise 10.1
Class 7 Maths Exercise 10.2
Class 7 Maths Exercise 10.1 in Hindi
Class 7 Maths Exercise 10.2 in Hindi

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.

Chapter 11: Exponents and Powers

We know that vast numbers are difficult to read, understand, compare and operate upon. Chapter 11 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.
Class 7 Maths Exercise 11.1
Class 7 Maths Exercise 11.2
Class 7 Maths Exercise 11.3
Class 7 Maths Exercise 11.1 in Hindi
Class 7 Maths Exercise 11.2 in Hindi
Class 7 Maths Exercise 11.3 in Hindi

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 11 of Grade 7 Maths.

Chapter 12: Symmetry

Chapter 12 of Grade 7 Maths 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. We know that a regular polygons have equal sides and equal angles, so, they have multiple lines of Symmetry.
Class 7 Maths Exercise 12.1
Class 7 Maths Exercise 12.2
Class 7 Maths Exercise 12.3
Class 7 Maths Exercise 12.1 in Hindi
Class 7 Maths Exercise 12.2 in Hindi
Class 7 Maths Exercise 12.3 in Hindi

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.

Chapter 13: Visualising Solid Shapes

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 given in Class 7 Maths Chapter 13.
Class 7 Maths Exercise 13.1
Class 7 Maths Exercise 13.2
Class 7 Maths Exercise 13.3
Class 7 Maths Exercise 13.4
Class 7 Maths Exercise 13.1 in Hindi
Class 7 Maths Exercise 13.2 in Hindi
Class 7 Maths Exercise 13.3 in Hindi
Class 7 Maths Exercise 13.4 in Hindi

Chapter 13 of Standard 7 Maths, tell 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. The Class 7 Maths Chapter 13 Visualising solid shapes is a very useful skill. Different sections of a solid can be viewed in many ways.

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