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NCERT Solutions
Class 7
Maths

NCERT Solutions for Class 7 Maths

The NCERT Solutions for Class 7 Maths cover each problem from the textbooks with detailed explanations and analysis. All sorts of topics were involved in these solutions, starting from triangles, area, and perimeter of different shapes, data handling, integers, and many more. 

These solutions are prepared by ALLEN experts in mathematics, who ensure that each student acquires a sound knowledge of the subject regardless of their learning pace.

1.0Chapter-wise NCERT Solutions for Class 7 Maths PDF

The solutions of NCERT Solutions for Class 7 Maths here are explained in the most appropriate and correct method. The working of problems in each solution is step by step so that the benefit to students regarding each type of problem is full. These chapter wise solutions are downloadable in PDF format free of cost for any student who needs it for revision or exam preparation purposes.

Students can see the answers by following links to the specific chapters you are reviewing:

List of Chapters

Notes

Chapter 1 - Large Numbers Around Us

Chapter 2 - Arithmetic Expressions

Chapter 3 - A Peek Beyond the Point

Chapter 4 - Expressions Using Letter-Numbers

Chapter 5 - Parallel and Intersecting Lines

Chapter 6 - Number Play

Chapter 7 - A Tale of Three Intersecting Lines

Chapter 8 - Working with Fractions

These solutions help students grasp complex topics easily. You can download the PDF versions to study offline and refer to them at your convenience.

NCERT Class 7 Maths - Chapter-wise

Chapter 1 – Large Numbers Around Us

Class 7 Maths Chapter 1, Large Numbers Around Us, introduces students to very large numbers and their representation using the place value system. The chapter explains how to read and write numbers in the Indian and International systems, compare them, and express them using place values and patterns. It also includes logical numbering activities and real-life examples involving populations and measurements. 

Important Topics Covered

  • Understanding large numbers and their real-life applications
  • Place value system and expanded form of numbers
  • Reading and writing numbers in the Indian and International systems
  • Comparing and ordering large numbers
  • Converting numbers between number systems
  • Using place values in expressing numbers
  • Number patterns and logical reasoning problems
  • Quick calculation techniques with large numbers
  • Real-life applications involving population, distance, and measurements

Class 7 Maths Chapter 1 Exercises

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

Exercise 1.5

Exercise 1.6

Chapter 2 – Arithmetic Expressions

Arithmetic expressions help students understand how numbers and operations combine to form expressions used in everyday calculations. The chapter focuses on evaluating expressions involving addition, subtraction, multiplication, and division, following the correct order of operations. The chapter also presents mathematical expressions for real-life situations. 

Important Topics Covered

  • Understanding arithmetic expressions
  • Terms and operations in expressions
  • Order of operations (BODMAS concept)
  • Evaluating numerical expressions
  • Writing expressions for real-life situations
  • Comparing and arranging expressions based on values

Class 7 Maths Chapter 2 Exercises

Exercise 2.1

Exercise 2.2

Exercise 2.3

Exercise 2.4

Exercise 2.5

Chapter 3 – A Peek Beyond the Point

In A Peek Beyond the Point, students include fractions and decimals in their understanding of numbers. The chapter shows how fractions can be written as decimals and explains how to add and subtract decimal numbers. Through structured examples and exercises, learners strengthen their understanding of place values beyond whole numbers. 

Important Topics Covered

  • Relationship between fractions and decimals
  • Place value of decimal numbers
  • Converting fractions into decimals
  • Addition of decimal numbers
  • Subtraction of decimals
  • Applying decimal operations in calculations

Class 7 Maths Chapter 3 Exercises

Exercise 3.1

Exercise 3.2

Exercise 3.3

Chapter 4 – Expressions Using Letter-Numbers

Class 7 Maths Chapter 4 introduces students to algebraic expressions, where letters represent unknown numbers. The chapter explains how variables and constants are used to describe mathematical relationships and patterns. Students learn to form expressions for everyday situations and simplify them logically..

Important Topics Covered

  • Meaning of variables and constants
  • Writing algebraic expressions
  • Expressions representing real-life situations
  • Using letters to represent numbers
  • Simplifying algebraic expressions
  • Interpreting expressions in practical contexts

Class 7 Maths Chapter 4 Exercises

Exercise 4.1

Exercise 4.2

Exercise 4.3

Chapter 5 – Parallel and Intersecting Lines

Parallel and Intersecting Lines is a chapter that builds a strong geometric foundation by explaining how lines interact in a plane. Here, students can learn to identify parallel, perpendicular, and intersecting lines and also recognise different angle relationships formed by these lines. Through diagrams and construction activities, learners develop spatial understanding and reasoning skills. 

Important Topics Covered

  • Types of lines in geometry
  • Parallel lines and their properties
  • Intersecting lines
  • Perpendicular lines
  • Linear pairs of angles
  • Vertically opposite angles
  • Identifying line relationships in diagrams

Class 7 Maths Chapter 5 Exercises

Exercise 5.1

Exercise 5.2

Exercise 5.3

Exercise 5.4

Chapter 6 – Number Play

Class 7 Maths Chapter 6, Number Play, focuses on logical reasoning through interesting number patterns and puzzles. Students explore concepts like odd and even numbers, parity, and number patterns that appear in sequences and arrangements. The chapter encourages mathematical thinking by connecting number properties with logical observations. 

Important Topics Covered

  • Logical number patterns
  • Parity of numbers (odd and even concepts)
  • Observing number relationships
  • Pattern-based reasoning problems
  • Mathematical puzzles using numbers
  • Analysing statements and conclusions

Class 7 Maths Chapter 6 Exercises

Exercise 6.1

Exercise 6.2

Exercise 6.3

Exercise 6.4

Exercise 6.5

Chapter 7 – A Tale of Three Intersecting Lines

A Tale of Three Intersecting Lines introduces students to geometric constructions and the properties of triangles formed using intersecting lines and circles. Students explore the conditions under which triangles exist and learn to identify special triangles, such as isosceles and equilateral triangles. 

Important Topics Covered

  • Intersections of circles and lines
  • Construction of isosceles and equilateral triangles
  • Triangle inequality property
  • Conditions for the existence of a triangle
  • Identifying valid triangle side lengths
  • Geometric reasoning using constructions

Class 7 Maths Chapter 7 Exercises

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4

Exercise 7.5

Exercise 7.6

Exercise 7.7

Exercise 7.8

Exercise 7.9

Chapter 8 – Working with Fractions

Class 7 Maths Chapter 8, Working with Fractions, expands students’ understanding of fractions through multiplication and practical applications. The chapter demonstrates how fractions are used to represent parts of quantities and solve real-life problems involving sharing, measurement, and rates. 

Important Topics Covered

  • Multiplication of fractions
  • Fractions in real-life situations
  • Converting improper fractions to mixed fractions
  • Fraction operations with quantities
  • Fraction-based word problems
  • Understanding fractions through practical examples

Class 7 Maths Chapter 8 Exercises

Exercise 8.1

Exercise 8.2

Exercise 8.3

Exercise 8.4

2.0CBSE Study Materials

Make the most of your preparation with structured CBSE study resources designed for better understanding and practice. Explore the links below to access detailed notes, sample papers, and textbooks to strengthen your Class 7 exam readiness.

CBSE Class 7 Maths Sample Papers

CBSE Class 7 Maths Notes

NCERT Textbooks for Class 7 Maths

3.0Benefits of NCERT Solutions for Class 7 Maths

The NCERT Solutions for Class 7 Maths are invaluable tools for students, especially those preparing for their CBSE exams. These solutions not only simplify complex mathematical concepts but also provide efficient techniques for solving problems, which can be highly beneficial during both study and revision. 

  • Exam Preparation: NCERT Solutions provides step-by-step explanations, allowing students to revise important problems quickly during exams. This ensures better preparation in less time.
  • Time Management: With a vast syllabus, students must manage their time well. These solutions help complete the coursework efficiently, leaving ample time for revision.
  • Solving Doubts: The clear and precise explanations in NCERT solutions help students resolve doubts and strengthen their understanding of tricky concepts.

By using NCERT solutions alongside expert guidance from ALLEN, students can enhance their preparation, improve time management, and effectively resolve their doubts, ensuring they are fully prepared for any challenge in their exams.

Subject-wise NCERT Solutions

NCERT Class 10 Maths Solutions

NCERT Class 10 Science Solutions

NCERT Class 10 Social Science Solutions

NCERT Class 10 English Solutions

NCERT Class 9 Maths Solutions

NCERT Class 9 Science Solutions

NCERT Class 9 Social Science Solutions

NCERT Class 9 English Solutions

NCERT Class 8 Maths Solutions

NCERT Class 8 Science Solutions

NCERT Class 7 Maths Solutions

NCERT Class 7 Science Solutions

NCERT Class 7 Social Science Solutions

NCERT Class 6 Maths Solutions

NCERT Class 6 Science Solutions

NCERT Class 6 Social Science Solutions

Class-wise NCERT Solutions

NCERT Solutions for Class 10

NCERT Solutions for Class 9

NCERT Solutions for Class 8

NCERT Solutions for Class 7

NCERT Solutions for Class 6

NCERT Solutions for Class 12

NCERT Solutions for Class 11

Frequently Asked Questions

They offer good explanations and methodologies that can help students find the right way of solving a problem, thus strengthening their very basics.

Students can use them for daily practice, to do homework and for preparation of examinations.

Yes, practice all questions for better concepts and good scores in exams.

Yes, making notes helps in quick revision and reenergizes key concepts.

Chapter-wise solutions are available online for free PDF download.

Important topics include integers, rational numbers, geometry, and data handling.

Yes, if the approach or method adopted is correct and results in a right answer.

Regular practising will increase your speed, accuracy and confidence in solving problems.

They help in structuring good concepts among students and prepare them well for the exams.

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