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Operations with Integers Class 7 Free Notes and Mind Map (Free PDF Download)

This chapter covers how to work with positive and negative numbers (integers) through addition, subtraction, multiplication, and division. You’ll learn patterns, rules, and real-life examples to make integer operations easier and more intuitive. Rakesh’s Puzzle: A Number Game First Number Second Number Sum Difference 10 15 25 -5 20 5 25 15 19 6 25 […]

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Geometric Twins Class 7 Free Notes and Mind Map (Free PDF Download)

This chapter explains how to check if two shapes or triangles are exactly the same in size and shape (congruent). It covers definitions, methods, important properties, and practical examples. Introduction to Geometric Twins Examples of Congruence Questions & Answers CONGRUENCE OF TRIANGLES Congruence Condition:If triangle ABC has sides AB, BC, CA equal to triangle XYZ’s

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Kathmandu Class 9 English Free Notes and Mind Map (Free PDF Download)

In book Heaven Lake, Vikram Seth describes a long journey from China to India via Tibet and Nepal. mainly two sacred places in Kathmandu – the Hindu temple of Pashupatinath and the Buddhist shrine of Baudhnath – and his experiences in the city before returning home. Through vivid descriptions, the writer captures the sights, sounds,

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Reach for the Top Class 9 Free Notes and Mind Map (Free PDF Download)

This chapter tells inspiring biographical accounts of two extraordinary women who reached the pinnacle of success in their respective fields through determination and hard work. Part I tells the story of Santosh Yadav, the only woman to climb Mount Everest twice, while Part II focuses on Maria Sharapova, who became the world number one in

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My Childhood NCERT Class 9 Free Notes and Mind Map (Free PDF Download)

This is an extract from Wings of Fire, the autobiography of Dr A.P.J. Abdul Kalam, who became India’s eleventh President in 2002. In this chapter, Dr Kalam speaks about his childhood in Rameswaram, his family, his friends, and the experiences that shaped his life. The chapter shows the importance of communal harmony, progressive thinking, and

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The Snake and the Mirror NCERT Class 9 Free Notes and Mind Map (Free PDF Download)

This is a humorous story by Vaikom Muhammad Basheer about a young doctor who has a frightening encounter with a snake. The story shows the contrast between the doctor’s dreams and reality, and teaches us about vanity and self-importance through a funny yet thrilling incident. The doctor narrates how his life was saved by the

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A Truly Beautiful Mind NCERT Class 9 Free Notes and Mind Map (Free PDF Download)

This chapter presents the life story of a beautiful mind Albert Einstein, showing him as a human being with his own likes, dislikes, streaks of rebellion, and problems. It demonstrates how a fairly ordinary person became recognized as a genius through his groundbreaking work in physics. The story also explores Einstein’s personal life, his struggles,

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The Little Girl NCERT Class 9 English Free Notes and Mind Map (Free PDF Download)

This story by Katherine Mansfield tells us about a little girl named Kezia whose feelings for her father change from fear to understanding. The story shows how children sometimes misunderstand their parents’ actions but later realize the love behind their strictness. It is a touching account that probably finds an echo in every home. Before

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The Sound of Music NCERT Class 9 English Free Notes and Mind Map (Free PDF Download)

This chapter tells inspiring stories of two musicians who achieved greatness through determination and hard work. The first part describes Evelyn Glennie, a deaf percussionist who overcame her disability to become world-famous. The second part celebrates Ustad Bismillah Khan, who brought the shehnai to classical music stage and became a legend. Part I – Evelyn

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The Fun They Had NCERT Class 9 English Free Notes and Mind Map (Free PDF Download)

This is a science fiction story set in the year 2157 that shows us how schools might be in future with computers playing major role in education. The story talks about children who will study through mechanical teachers and compares it with old traditional schools. The story is set in future when books and schools

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Proportional Reasoning-1 Ratios NCERT Class 8 Free Notes and Mind Map (Free PDF Download)

Proportional reasoning helps us understand how quantities change in relation to each other. This chapter studies ratios, proportions, and how to use them for solving real-world problems involving scaling, mixing, and sharing. Observing Similarity in Change When we resize digital images, some look similar to the original while others appear distorted. Understanding why this happens

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We Distribute, Yet Things Multiply NCERT Class 8 Free Notes and Mind Map (Free PDF Download)

Algebra uses letter symbols to write general statements about patterns and relations in compact form. This chapter studies distributivity – a property connecting multiplication and addition – and how it helps us solve problems and prove mathematical claims. Some Properties of Multiplication Increments in Products When we multiply two numbers like 23 × 27, we

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Number Play NCERT Class 8 Free Notes and Mind Map (Free PDF Download)

Numbers are not just symbols we use for counting – they follow patterns and rules that make mathematics interesting. This chapter helps us study how numbers behave when we add, subtract, multiply or divide them. We’ll look at divisibility rules, remainders, and number puzzles that develop logical thinking. Is This a Multiple Of? Sum of

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