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Class 7 Advance Learner Course: Mathematics (Maths) - NCERT Solutions & Notes

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EduRev's Advance Learner Course: Mathematics (Maths) Class 7 is meticulously designed to help students of Class 7 excel in the subject of Mathematics. ... view more This comprehensive course covers all the topics as per the latest syllabus and is ideal for students who want to gain a deep understanding of the subject. With easy-to-understand explanations and numerous practice questions, this course ensures that students are well-prepared for exams. Join this course to become an advanced learner in Mathematics for Class 7.

Class 7 Advance Learner Course: Mathematics Study Material

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Advance Learner Course: Mathematics (Maths) Class 7
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What is Advance Learner Course for Class 7 Mathematics?

The Advance Learner Course for Class 7 Mathematics is a specialized program designed for students who wish to excel beyond the standard CBSE and NCERT curriculum. This advanced mathematics course for Class 7 goes deeper into fundamental concepts, introducing challenging problems and applications that prepare students for competitive examinations and higher-level studies. Unlike the regular Class 7 Maths syllabus, the Advance Learner Course emphasizes conceptual understanding, logical reasoning, and problem-solving abilities that extend beyond textbook knowledge.

Students enrolled in this Class 7 advanced learner program gain access to comprehensive study materials covering essential topics such as rational numbers, linear equations, and quadrilaterals with greater depth and complexity. The course structure is meticulously designed to bridge the gap between Class 7 mathematics and competitive examinations like mathematical olympiads, ensuring lakhs of students across India benefit from structured, progressive learning pathways.

Why Choose Advanced Mathematics Class 7?

  • Enhanced conceptual clarity beyond standard textbooks
  • Development of strong problem-solving and analytical skills
  • Preparation for competitive examinations and merit-based selections
  • Building confidence in tackling complex mathematical problems
  • Foundation for higher mathematics in Class 8 and beyond

Benefits of Advance Learner Course: Mathematics Class 7

Opting for the Advance Learner Course Maths Class 7 provides numerous advantages that extend far beyond securing good marks in your regular examinations. Students who engage with Class 7 Maths advanced topics develop a comprehensive understanding of mathematical principles that serve them throughout their academic journey. The benefits of this best advance course for Class 7 Maths include strengthened analytical abilities, improved problem-solving speed, and enhanced confidence when approaching mathematical challenges.

The course offers structured Class 7 Mathematics notes PDF and study materials that are systematically organized for progressive learning. By utilizing the free Class 7 Maths resources available through comprehensive study material, students can practice regularly with Class 7 Maths practice questions and important questions that mirror the complexity they'll encounter in competitive examinations. This systematic approach helps students transition smoothly from understanding basic concepts to mastering advanced applications.

Key Advantages for Students

BenefitImpact on Learning
Comprehensive Study MaterialAccess to best Class 7 Maths notes with detailed explanations
Practice ResourcesClass 7 Maths worksheets PDF free download for consistent practice
Video LearningClass 7 Maths video lectures for visual concept understanding
Competitive ReadinessPreparation for Class 7 advanced learner program examinations

Rational Numbers Class 7: Complete Guide for Advanced Learners

Rational numbers form one of the fundamental pillars in Class 7 Mathematics, and mastering this topic is crucial for advanced learners. Rational numbers Class 7 introduces students to the concept of numbers that can be expressed as fractions, where both numerator and denominator are integers and the denominator is non-zero. Our comprehensive Rational Numbers notes Class 7 PDF covers everything from basic definitions to complex operations and properties.

The topic encompasses understanding rational numbers on a number line, identifying rational numbers between two given rational numbers, and performing arithmetic operations with complete mathematical rigor. Students preparing for how to prepare rational numbers for Class 7 should focus on mastering the properties of rational numbers including closure, commutativity, associativity, and distributivity. These foundational concepts directly impact your ability to solve advanced problems in algebra and beyond.

Essential Concepts in Rational Numbers

  • Definition and representation of rational numbers
  • Standard form of rational numbers
  • Comparison and ordering of rational numbers
  • Operations: addition, subtraction, multiplication, and division
  • Properties and their applications in problem-solving
  • Identifying infinite rational numbers between any two rational numbers

For detailed exploration of this critical topic, access our complete Rational Numbers Class 7 study material and advanced problems that challenge you to think beyond textbook examples. This resource provides Class 7 Maths practice questions specifically designed for advanced learners preparing for competitive examinations.

Linear Equations in One Variable - Class 7 Study Material

Linear equations in one variable represent a significant jump in mathematical abstraction for Class 7 students. This topic teaches you to represent real-world situations mathematically and solve for unknown quantities using logical reasoning. The Linear Equations in One Variable Class 7 curriculum covers everything from simple equations to complex word problems that require multi-step solutions, making it essential for Class 7 Maths advanced topics mastery.

Students learning about linear equations Class 7 must understand the transposition method, which involves moving terms from one side of the equation to another while maintaining equality. This technique is foundational for solving increasingly complex algebraic equations in higher classes. Best way to learn Linear Equations Class 7 involves consistent practice with varied problem types, from straightforward equations to intricate real-life applications that test your conceptual understanding.

Key Aspects of Linear Equations Study

Understanding equations and variables forms the foundation of algebra. When you solve linear equations with one variable, you're essentially finding the value that makes the equation true. The applications of linear equations in real-life problems demonstrate why this mathematical tool matters-from calculating distances and costs to determining time and quantities in practical scenarios.

Equation TypeSolving MethodApplication Example
Simple EquationsDirect substitutionFinding unknown values
Multi-step EquationsTransposition methodReal-world word problems
Equations with FractionsLCM approach and simplificationProportional relationships

Our comprehensive Linear Equations in One Variable study material includes detailed solutions and Class 7 Mathematics notes PDF that break down complex problems into manageable steps. This resource is invaluable for students seeking Class 7 Maths important questions with detailed explanations.

Understanding Quadrilaterals: Class 7 Mathematics Concepts

Quadrilaterals form an essential part of Class 7 Mathematics geometry, introducing you to the properties and classifications of four-sided polygons. Understanding Quadrilaterals Class 7 encompasses learning about parallelograms, rectangles, squares, rhombuses, trapeziums, and kites-each with unique characteristics and applications. The angle sum property of quadrilaterals is fundamental: the sum of all interior angles in any quadrilateral is always 360 degrees.

Advanced learners studying Understanding Quadrilaterals Class 7 notes discover the relationships between different quadrilateral types, understanding how special quadrilaterals like squares and rhombuses are specific cases of more general categories. This hierarchical understanding builds spatial reasoning skills essential for geometry problems in Class 7 Maths advanced topics and beyond. The applications extend from architectural design to engineering, making quadrilateral properties practically relevant.

Classifications and Properties

  • Parallelogram: Opposite sides parallel and equal
  • Rectangle: All angles are right angles, opposite sides equal
  • Square: All sides equal, all angles are right angles
  • Rhombus: All sides equal, opposite angles equal
  • Trapezium: One pair of parallel sides
  • Kite: Two pairs of adjacent equal sides

Explore our detailed Understanding Quadrilaterals Class 7 comprehensive guide to master these concepts with solved examples and challenging practice problems designed for advanced learners. This resource provides Quadrilaterals notes PDF with visual representations that clarify these geometric concepts effectively.

Best Study Materials for Class 7 Maths Advance Learner Course

Accessing high-quality Class 7 Maths study material is crucial for success in the Advance Learner Course. The best Class 7 Maths notes combine clear explanations, worked examples, and progressive problem sets that build your understanding systematically. When selecting Class 7 Maths study material PDF, prioritize resources that provide multiple approaches to solving problems, allowing you to develop flexible problem-solving strategies.

Quality Class 7 Maths notes PDF free download should include detailed theory sections followed by illustrative examples, then progressively challenging practice problems. The free Class 7 Maths resources available through platforms should feature structured content organized by topic, making it easy to navigate and review specific concepts when needed. Class 7 Mathematics notes that incorporate real-world applications help you understand why these concepts matter beyond the classroom.

Essential Components of Quality Study Materials

  • Clear concept explanations with multiple examples
  • Step-by-step solved problems demonstrating solution techniques
  • Progressive difficulty levels from basic to advanced
  • Practice problems with detailed solutions
  • Visual aids and diagrams for geometric concepts
  • Chapter-wise summaries and quick revision notes

Class 7 Mathematics Notes PDF Free Download

Students preparing for Class 7 Maths often search for Class 7 Maths notes PDF free download to consolidate their learning. These downloadable resources provide flexibility to study at your own pace, review concepts multiple times, and maintain organized notes for quick reference during revision. The availability of Class 7 Mathematics notes PDF in structured formats helps students organize their preparation systematically across all chapters.

Quality Class 7 Maths notes PDF downloads should be comprehensive yet concise, covering all essential topics without unnecessary verbosity. These Class 7 Maths study material resources become particularly valuable during revision periods when quick reference to key concepts and formulas accelerates your preparation. Accessing well-organized Class 7 Maths PDF download materials ensures you have reliable reference materials throughout your academic year.

Practice Questions for Class 7 Maths Advanced Topics

Mastering Class 7 Maths advanced topics requires consistent engagement with Class 7 Maths practice questions of varying difficulty levels. Effective practice involves working through Class 7 Maths important questions that cover different problem types and applications of core concepts. Class 7 Maths practice papers help you develop speed and accuracy while building confidence in tackling complex problems.

Utilize Class 7 Maths worksheets PDF free download to practice regularly, focusing on areas where you feel less confident. The combination of Class 7 Maths practice questions from textbooks, supplementary materials, and competitive examination resources provides comprehensive preparation. Working through these progressively challenging problems builds your problem-solving speed and analytical thinking, directly improving your performance in assessments.

How to Prepare Rational Numbers for Class 7?

Preparing effectively for how to prepare Rational Numbers for Class 7 requires a strategic approach combining conceptual learning with regular practice. Begin by thoroughly understanding the definition and properties of rational numbers, then gradually progress to complex operations and applications. Your preparation should balance theoretical understanding with practical problem-solving, ensuring you can both explain concepts and apply them to solve problems.

A structured approach to preparing Class 7 Maths involves dedicating specific study sessions to each concept within rational numbers, practicing regularly, and reviewing weak areas consistently. This methodical preparation builds the strong foundation necessary for tackling more advanced algebraic concepts in subsequent classes.

Class 7 Maths Video Lectures and Online Resources

Class 7 Maths video lectures provide visual explanations of complex concepts, complementing traditional text-based learning. These Class 7 Maths online course resources help visual learners understand how concepts work, with instructors demonstrating problem-solving techniques step-by-step. The combination of Class 7 Maths video lectures and written study materials caters to different learning preferences and reinforces understanding through multiple modalities.

Quality Class 7 Maths online resources include interactive elements, practice problems with solutions, and visual representations that clarify abstract concepts. These best resources for Class 7 Maths preparation support independent learning while providing professional guidance and structured content organization that self-study might lack.

Important Topics in Class 7 Advanced Mathematics Course

The Class 7 advanced learner program focuses on crucial topics that form the foundation for higher mathematics. Class 7 Maths advanced topics include rational numbers, linear equations, and quadrilaterals-each serving as building blocks for more complex concepts. Advanced Mathematics Class 7 extends beyond standard curricula, introducing problem types that develop deeper analytical thinking.

These Class 7 Maths important topics require thorough understanding rather than superficial knowledge, as they recur throughout your mathematical studies. The best advance course for Class 7 Maths emphasizes these foundational topics extensively, ensuring students develop robust understanding that supports future learning.

Free Resources for Class 7 Maths Preparation

Comprehensive free Class 7 Maths resources available through educational platforms provide excellent support for your preparation journey. These free Class 7 Maths resources include study notes, practice questions, video explanations, and solved examples that collectively support your learning without financial burden. Utilizing these free Class 7 Maths free study material effectively requires discipline, consistent engagement, and systematic progress through the curriculum.

Access quality Class 7 Maths preparation materials and organize your study schedule to cover all Class 7 Mathematics topics thoroughly. The key to effective preparation lies in utilizing available resources strategically, combining multiple learning modalities, and maintaining consistent practice throughout your academic year. With dedicated effort and access to comprehensive materials, every student can excel in the Advance Learner Course for Class 7 Mathematics.

Advance Learner Course: Mathematics (Maths) Class 7 CBSE Exam Pattern 2026-2027

Advance Learner Course: Mathematics (Maths) Class 7 Exam Pattern for Class 7

As students progress to Class 7, the complexity of Mathematics (Maths) increases. To ensure that they are well-prepared for their exams, it is important to understand the exam pattern. Here are the key pointers of the exam pattern for Class 7 Maths:

1. Types of Questions:
The Class 7 Maths exam will comprise of two types of questions- objective and subjective. Objective questions will be in the form of multiple-choice questions, while subjective questions will require students to write answers in detail.

2. Marks Distribution:
The total marks for the Class 7 Maths exam will be 80. Objective questions will carry 20 marks, while subjective questions will carry 60 marks.

3. Topics Covered:
The Class 7 Maths exam will cover all the topics that students have studied throughout the academic year. This includes topics such as Integers, Fractions and Decimals, Algebraic Expressions, Geometry, and Data Handling.

4. Time Duration:
The time duration for the Class 7 Maths exam will be 3 hours. Students must manage their time efficiently to ensure that they are able to attempt all the questions.

5. Marking Scheme:
The marking scheme for the Class 7 Maths exam will vary depending on the type of question. Objective questions will carry one mark each, while subjective questions will carry varying weightage.

It is important for students to familiarize themselves with the exam pattern to perform well in their Class 7 Maths exam. They must practice solving different types of questions to improve their understanding and speed. With the right preparation and practice, students can excel in their Class 7 Maths exam.

Advance Learner Course: Mathematics (Maths) Class 7 Syllabus 2026-2027 PDF Download

Class 7 Advance Learner Course: Mathematics (Maths)

HTML Bullet Point:

• Class 7 Rational Numbers
• Class 7 Linear Equations in One Variable
• Class 7 Understanding Quadrilaterals

Class 7 Rational Numbers

HTML Bullet Point:

• Introduction to Rational Numbers
• Properties of Rational Numbers
• Representation of Rational Numbers on a Number Line
• Comparison of Rational Numbers
• Addition and Subtraction of Rational Numbers
• Multiplication and Division of Rational Numbers
• Application of Rational Numbers in Real Life

Class 7 Linear Equations in One Variable

HTML Bullet Point:

• Introduction to Linear Equations in One Variable
• Solving Linear Equations
• Formation of Linear Equations
• Word Problems based on Linear Equations
• Graphical Representation of Linear Equations
• Application of Linear Equations in Real Life

Class 7 Understanding Quadrilaterals

HTML Bullet Point:

• Introduction to Quadrilaterals
• Types of Quadrilaterals
• Properties of Quadrilaterals
• Diagonals of Quadrilaterals
• Angle Sum Property of Quadrilaterals
• Congruence of Quadrilaterals
• Application of Quadrilaterals in Real Life

Note: The above syllabus is designed for an advanced learner course in Mathematics for Class 7 students. The topics covered in this syllabus are important for building a strong foundation in Mathematics and are essential for higher studies in the subject. The syllabus is designed keeping in mind the latest CBSE guidelines and is meant to provide students with a comprehensive understanding of the subject.

This course is helpful for the following exams: Class 7

How to Prepare Advance Learner Course: Mathematics (Maths) Class 7?

How to Prepare for Advance Learner Course: Mathematics (Maths) Class 7?



Mathematics is a subject that requires regular practice and understanding of concepts. To excel in the Advance Learner Course: Mathematics (Maths) Class 7, one needs to follow certain steps:



1. Understand the Syllabus



Before starting the course, it is crucial to go through the syllabus provided by EduRev. The syllabus will give an idea about the topics that will be covered in the course. It will help in planning the study schedule accordingly.



2. Create a Study Schedule



Creating a study schedule will help in managing time effectively. The study schedule should include time for regular practice, revision, and solving previous year question papers. It is essential to allocate enough time to each topic to have a clear understanding of it.



3. Practice Regularly



Mathematics requires regular practice to master the concepts. One should solve as many problems as possible to gain confidence. It is essential to practice different types of questions to understand the application of concepts.



4. Take Notes



Taking notes during the lectures will help in revision. It will help in understanding the concepts better and will be useful during the exam preparation.



5. Solve Previous Year Question Papers



Solving previous year question papers will help in understanding the exam pattern and the type of questions asked. It will also help in identifying the weak areas and working on them.



6. Seek Help When Required



If one faces difficulty in understanding any concept, they should seek help from the teacher or mentor. It is essential to clear doubts timely to have a better understanding of the subject.



In conclusion, to excel in the Advance Learner Course: Mathematics (Maths) Class 7, one needs to have a clear understanding of the concepts and regular practice. Following the above steps will help in achieving the desired results.

Importance of Advance Learner Course: Mathematics (Maths) Class 7

Importance of Advance Learner Course: Mathematics (Maths) Class 7 Course for Class 7

Introduction: Mathematics (Maths) is an integral part of the curriculum in Class 7. It is a subject that requires a lot of practice and understanding of concepts. EduRev offers an Advance Learner Course: Mathematics (Maths) Class 7 Course which is designed to help students improve their skills in Maths and achieve good grades.

Benefits of the Course: The Advance Learner Course: Mathematics (Maths) Class 7 Course offers a number of benefits to students. Some of these benefits include:

1. Comprehensive Coverage: The course covers all the topics that are included in the Class 7 Maths syllabus. This ensures that students have a thorough understanding of all the concepts.

2. Interactive Learning: The course is designed to be interactive and engaging. It includes videos, quizzes, and other interactive elements that make learning fun and interesting.

3. Expert Guidance: The course is designed and taught by experienced Maths teachers. They provide expert guidance and support to students, helping them to overcome any difficulties that they may encounter while learning.

4. Practice Tests: The course includes a number of practice tests that help students to evaluate their progress and identify areas where they need to improve.

5. Flexibility: The course is available online, which means that students can learn at their own pace and from the comfort of their own homes. This makes it ideal for students who may have busy schedules or other commitments.

Conclusion: The Advance Learner Course: Mathematics (Maths) Class 7 Course offered by EduRev is an excellent resource for students who want to improve their skills in Maths. It provides comprehensive coverage of all the topics in the Class 7 Maths syllabus, expert guidance, and interactive learning resources. Students who take this course are likely to achieve good grades in Maths and develop a deeper understanding of the subject.

Advance Learner Course: Mathematics (Maths) Class 7 FAQs

1. How do I solve linear equations in one variable for Class 7 maths?
Ans. Isolate the variable by performing inverse operations on both sides of the equation. Use addition or subtraction to move constants, then multiply or divide to find the variable's value. Practice with balanced equation problems where terms shift systematically across the equals sign.
2. What are the steps to find the area and perimeter of different polygons?
Ans. Perimeter equals the sum of all side lengths. Area formulas vary: rectangles use length × width, triangles use ½ × base × height, and circles use πr². Identify the polygon type first, then apply the correct formula with proper unit measurements.
3. How do I understand integers and operations with positive and negative numbers?
Ans. Integers include positive numbers, negative numbers, and zero. When adding integers with the same sign, add absolute values and keep the sign. With different signs, subtract smaller absolute value from larger and use the larger number's sign.
4. What's the best way to learn data handling and probability concepts?
Ans. Probability ranges from 0 to 1, where 0 means impossible and 1 means certain. Data handling involves organizing information using tallies, frequency tables, and graphs. Visual representations like bar charts and pictographs make patterns clearer for analysis and interpretation.
5. How do I solve problems involving ratio and proportion in Class 7?
Ans. A ratio compares two quantities using division (e.g., 3:4). Proportion states two ratios are equal. Cross-multiply to solve: if a/b = c/d, then a×d = b×c. Use unitary method to find unknown quantities in direct proportion problems.
6. What are the key topics in algebraic expressions and identities?
Ans. Algebraic expressions combine numbers, variables, and operations like 2x + 5. Terms are parts separated by plus or minus signs. Simplify by combining like terms (same variable and power). Identities like (a+b)² = a² + 2ab + b² show permanent relationships between expressions.
7. How do I approach geometry problems about lines, angles and triangles?
Ans. Angles are measured in degrees; complementary angles sum to 90°, supplementary to 180°. Triangle angles always total 180°. Use angle properties at intersecting lines: vertically opposite angles are equal, and parallel lines cut by a transversal create equal corresponding angles.
8. What's the concept of exponents and powers in Class 7 maths?
Ans. Exponents show how many times a number multiplies itself; 2³ = 2×2×2 = 8. Laws include: multiply by adding exponents (aᵐ × aⁿ = aᵐ⁺ⁿ), and divide by subtracting (aᵐ ÷ aⁿ = aᵐ⁻ⁿ). Negative exponents represent fractions like 2⁻² = ¼.
9. How do I solve word problems involving time, speed and distance?
Ans. Use the formula: distance = speed × time. Rearrange to find speed (distance ÷ time) or time (distance ÷ speed). Convert units consistently before solving. Create a table to organize given information, then substitute values into formulas systematically.
10. What methods help me understand fractions, decimals and their conversions?
Ans. Fractions represent parts of a whole; simplify by dividing numerator and denominator by their GCF. Convert fractions to decimals by dividing numerator by denominator. Multiply decimals by 100 to get percentages. Use place value charts to visualize decimal positions and compare values accurately.

Best Advance Learner Course: Mathematics (Maths) Class 7 NCERT Solutions and Study Materials

Looking for the best Advance Learner Course: Mathematics (Maths) Class 7 NCERT study materials and Advance Learner Course: Mathematics (Maths) Class 7 NCERT Book solutions? EduRev has got you covered! Our platform offers comprehensive Class 7 NCERT Solutions and NCERT Study Materials that are tailored to fit the needs of Class 7 students. Our Advance Learner Course: Mathematics (Maths) Class 7 NCERT Book Solutions are designed to help students understand the concepts and improve their grasp on the subject. We provide step-by-step solutions to all the questions in the Advance Learner Course: Mathematics (Maths) Class 7 NCERT Tests, making it easy for students to follow along and grasp the concepts. EduRev’s chapter-wise NCERT Solutions for Class 7 are comprehensive and designed by a team of experienced teachers to cater to the learning needs of students. And the best part is - we offer our Advance Learner Course: Mathematics (Maths) Class 7 NCERT Solutions and Study Materials for free to students. So, if you're looking for the best NCERT Book Solutions and Study Materials for Advance Learner Course: Mathematics (Maths) Class 7, look no further than EduRev. Our platform offers everything you need to excel in your studies and achieve your academic goals.
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Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos for Class 7 2026-2027 is part of Class 7 preparation. The notes and questions for Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos have been prepared according to the Class 7 exam syllabus. Information about Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos covers all important topics for Class 7 2026-2027 Exam. Find important definitions, questions, notes,examples, exercises test series, mock tests and Previous year questions (PYQs) below for Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos.
Preparation for Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos in English is available as part of our Class 7 preparation & Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos in Hindi for Class 7 courses. Download more important topics related with Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos, notes, lectures and mock test series for Class 7 Exam by signing up for free.
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Advance Learner Course: Mathematics (Maths) Class 7
Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos course offering 100+ video lectures & more, covering complete syllabus & important topics, created by experts. Joined by 254k+ students.
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Advance Learner Course: Mathematics (Maths) Class 7
Advance Learner Course: Mathematics (Maths) Class 7 | NCERT Solutions, Tests, Revision Notes, CBSE, Videos course offering 100+ video lectures & more, covering complete syllabus & important topics, created by experts. Joined by 254k+ students.