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NCERT Solutions for Class 7 Maths

Class 7 is considered to be one of the most crucial stages in the academic career of every student. The students learn very fast as their brains are sharp, and this is the stage to fill their young minds and quench their thirst to learn new things with adequate information and knowledge. CBSE Class 7 Mathematics textbooks are published by the NCERT, which keeps them updating and revising the syllabus. This is done according to the current educational scenario. These books are compiled by the nation’s experts after extensive research to provide pertinent and authentic information. The subject materials are well-balanced with useful content designed, especially for curious minds. These are designed to target the fundamental concepts and basics on all topics.

Learning important concepts is essential for every student to get better marks in examinations. Better understanding helps in faster learning. Moreover, Mathematics is a subject full of concepts, and practice is vital to score marks in this subject. Without NCERT Solutions, students may find it challenging to answer all the questions. To tackle the issue, Aakash provides free solutions to NCERT Class 7 Mathematics in proper order so that students systematically cover all topics. The order and the language used makes it outstanding amongst other online solutions.

The experienced faculty and the subject experts at Aakash prepare the PDF of solutions. The solutions are targeting the doubts, by providing the students with a thorough understanding of the tough topics and the subject as a whole. It helps to improve the marks of the student. The language used in explanations is straightforward to understand to ensure every student may understand the solutions. There are Chapter-wise, and Topic-wise solutions and No topic is left uncovered.

Aakash’s NCERT Solutions for Class 7 Mathematics provides Solutions to all chapters to help reduce stress due to problems in understanding concepts and eases the tension. The PDF of solutions is highly recommended for students who opt for self-study. If there are still doubts Aakash holds doubt sessions to help solve these doubts for the student.

The PDF material for all NCERT Solutions for Class 7 Mathematics is free, and we highly recommend the students to download and go through the same after studying their NCERT subject textbook.


NCERT Solutions for Class 7 Maths- Chapter-Wise


Chapter 1 Integers

This is the first chapter of NCERT Class 7 Mathematics, and it contains four exercises. It deals with the basic concept of Integers and the methods for Addition, Subtraction, Multiplication, and Division of Integers and their properties. This chapter also explains the concepts of Multiplication of Positive and Negative Integer and Multiplication of two Negative Integers.

Chapter 2 Fractions and Decimals

This chapter provides a foundation for Fractions and Decimals. It not only introduces students to the concept of fractions and decimals but gives an in-depth knowledge of the entire subject. The chapter teaches students Addition, Subtraction, Multiplication and Division of Fractions and Decimals and Reciprocal of Fractions. It covers in detail the various other concepts of Multiplication such as Multiplication of a Fraction by a Whole Number, Multiplication of Fraction by a Fraction, Multiplication of Decimal Numbers, methods of Division of a Whole Number by a Fraction, Division of a Fraction by a Whole Number, Division of Fraction by a Fraction and Division of Decimal Numbers.

Chapter 3 Data Handling

This chapter deals with the Collection and Organisation of Data and introduces students to the use of Bar Graphs with different purposes and the concepts of Mean, Median and Mode. Students learn Arithmetic Mean and Mode of Large data, and Chance and Probability.

Chapter 4 Simple Equations

In this chapter, students learn the meaning of Equation and the various methods to solve an Equation. This chapter also teaches students to form Equations from solutions and the Application of Simple Equations to practical solutions.

Chapter 5 Lines and Angles

This chapter deals with various angle types such as Complementary Angles, Supplementary Angles, Adjacent Angles, Linear Pair and Vertically Opposite Angles. It covers the concept of lines and pairs of lines such as Intersecting Lines, Transversal, Angles made by a Transversal, Transversal of Parallel Lines. Students also obtain the knowledge on checking for parallel lines.

Chapter 6 Triangles

This chapter introduces students to the types of triangle such as Equilateral Triangle, Isosceles Triangle and Right - Angled Triangle. It also provides information on Exterior Angle of a Triangle and its property, Sums of the Lengths of Two Sides of a Triangle, Angle Sum Property of a Triangle, Medians and Altitudes of a Triangle and Pythagoras Property.

Chapter 7 Congruence of Triangles

This is a continuation of the previous chapter. It deals with the congruence of various triangles, Congruence of Plane Figures, Line Segments, and Angles. It explains the criteria for congruence of triangles.

Chapter 8 Comparing Quantities

This chapter introduces students to the ways of comparing quantities through the use of percentage, methods of converting Fraction numbers into a percentage, converting Decimals to Percentage, converting Percentage to Fraction or Decimals, Ratios to Percentage, and converting percentage to “How Many”. It also briefs out Equivalent Ratios and teaches students the methods to depict Increase or Decrease and Profit or Loss as Percentage and interpret percentage. It further introduces students to the concept of Simple Interest, how to calculate interest for multiple years and Price related to an item or Buying and Selling.

Chapter 9 Rational Numbers

In this chapter, students learn the meaning and need for Rational Numbers, Positive and Negative Rational Numbers, and the operations on Rational Numbers like Addition, Subtraction, Multiplication, and Division of Rational Numbers. It also teaches students to compare rational numbers and the rational numbers between two rational numbers. It contains a pictorial representation of rational numbers on a number line and how to identify them.

Chapter 10 Practical Geometry

This chapter guides students and teaches them the construction of a Line Parallel to a Given Line, through a Point Not on The Line. The three criteria for the construction of the triangle:

  • Construction of Triangle
  • 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 Inclined Between Them Is Given (ASA Criterion) and Constructing a Right-Angled Triangle When The Length of One Leg and Its Hypotenuse are Given (RHS Criterion)

Chapter 11 Perimeter and Area

This chapter deals with teaching students in finding the length, breadth and area of Squares, Rectangles, the circumference and area of a circle, area of a parallelogram and triangle and their applications, and Conversion of Units. It further exhibits Triangles as parts of Rectangles and generalizing for other congruent parts of Rectangles.

Chapter 12 Algebraic Expressions

In this chapter, students learn how expressions are formed, and the terms of an expression such as Like and Unlike terms. Learners also learn to find the Value of an Expression, usage of formulae and rules in algebraic expressions and the Addition and Subtraction of Algebraic Expressions. It deals with, and other concepts of Algebra such as Monomials, Binomials, Trinomials and Polynomials.

Chapter 13 Exponents and Powers

This chapter introduces students to the meaning and laws of exponents. It deals with Multiplying and Dividing Powers with the same base, Decimal Number System, Taking Power of a Power and Expression of Large Numbers in the Standard Form. This chapter includes Miscellaneous Examples Using the Laws of Exponents.

Chapter 14 Symmetry

The chapter will introduce the meaning of lines of symmetry for a figure. It explains in detail the Lines of Symmetry for Regular Polygons, Line Symmetry and Rotational Symmetry.

Chapter 15 Visualizing Solid Shapes

This chapter gives an introduction to Plane Figures and Solid Figures. It further helps students visualize and understand the faces, edges, and vertices of shapes, ways to view different sections of an object through cutting or slicing or shadow play. It provides a pictorial representation of various shapes and nets for building 3-D Shapes. This chapter requires the students to draw solids on a flat surface through Oblique Sketches, Isometric Sketches, and Visualising Solid Objects.


Why Aakash NCERT Solutions for Class 7 Maths?

Maths is one of the most important subjects for students belonging to any class. It plays a vital role in boosting the students’ overall score. Various students find it difficult to follow the steps and concepts in mathematics since the syllabus is extensive. The vast syllabus leads to confusion among students.

However, in the solutions, every step to the solution is clearly explained to help students gain a clear idea of the concept the students come up against. The Solution material enables the students to obtain an insight into each concept. The method helps the students to be able to solve any question on the topic.

FAQ’s for CLASS 7 MATHS NCERT Solutions

Q. What are the challenges for class 7th students have in Mathematics and how do Aakash solutions help?

A. The students find it challenging to identify the correct method and the application of methods in Mathematics. Self-study of Mathematics can be highly time-consuming and frustrating. The student is needed to have a deeper understanding of the concepts and formulas. Aakash solutions help to ease this burden. We provide solutions that are prepared accordingly, and each chapter is carefully divided into various segments. Step-by-step solutions are provided for each, and every numerical, ensuring students can have a greater understanding and score top marks.

Q. Where to find and download NCERT Solutions for Class 7 Mathematics?

A. Aakash provides free NCERT Solutions in PDF format for NCERT Class 7 Mathematics which is available on the Aakash website. The solutions are arranged in a proper sequence topic-wise.

Aakash also provides PDF file solutions for all the other subjects of NCERT Class 7.

Also See
NCERT Solutions for Class 7 Science NCERT Solutions for Class 7 Englist NCERT Solutions for Class 7 Social Science

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