Chapter 6 My Childhood | Class 9th Beehive Most Important Questions english

My Childhood Class 9 Important Questions

Short Answer Type Questions

Question 1: Why did A.P.J. Abdul Kalam call his childhood a secure childhood?
Or
“Kalam’s childhood was a secure one, both materially and emotionally”. Illustrate the fact.

Answer: A.P.J. Abdul Kalam called his childhood a secure one because he had loving and caring parents. He had all necessary things which included food, clothes, medicine, etc.

Question 2: Do you think the new teacher deserved the treatment meted out to him? Why/why not?

Answer: Yes, he deserved the treatment meted out to him. He was spreading the poison of communal intolerance among the young minds which was a serious crime. If a teacher indulges in such a mean act he deserves no sympathy.

Question 3: What was the difference in the attitudes of the science teacher and his wife towards A.P.J. Abdul Kalam?

Answer: Though his science teacher was an orthodox Hindu, he broke the social barriers, and mixed with other religions and communities. He invited Abdul home and served him meals and even sat and ate with him. On the contrary, his wife was conservative and refused to serve Abdul.

Question 4: How did Second World War give opportunity to Kalam to earn his first wages?

Answer: Kalam’s cousin was a news agent. Train halt at Rameshwaram station was suspended. So, the newspapers were bundled up and thrown out from a moving train. Kalam helped his cousin to catch the bundles. He was given money for it.

Question 5: How does Abdul Kalam describe his mother?

Answer: Abdul Kalam describes his mother by saying that she was an ideal wife and a gentle lady. He learnt from his mother to be gentle and kind. She even used to feed a lot of outsiders every day.

Question 6: What did Abdul Kalam’s family do during the annual Shri Sita Ram Kalayanam Ceremony?

Answer: Abdul Kalam’s family arranged for a boat with a special platform for carrying the idols of Lord Shri Sita Ram from the temple to the marriage sites situated in the middle of a pond called as Rama Tirtha. His parents even told him stories from the Ramayana.

Question 7: What characteristics did Abdul Kalam inherited from his parents?

Answer: Abdul Kalam inherited honesty and self discipline from his father and faith in goodness and kindness from his mother. Like his parents even he respected all religions.

Long Answer Type Questions

Question 1: What do you know about A.P.J. Abdul Kalam’s family after reading the lesson “My childhood”?

Answer: A.PJ. Abdul Kalam tells us that his family was a Tamil middle class family from Rameshwaram. His father Jainulabdeen was not much educated, wasn’t rich but was generous, wise, simple man but very strict and severe. His mother Ashiamma was a generous lady, and used to feed unlimited numbers of people in their home. Kalam’s family respected all religions. They took part in Hindu festivals. His mother and grandmother told him stories from Ramayana. They always showered their love on their children and never forced their thoughts on them.

Question 2: What incident took place at the Rameshwaram Elementry School when a new teacher came to the class?

Answer: Kalam used to wear a cap and Ramanandha Sastry wore a sacred thread which marked him to be a Brahmin. When the new teacher came he could not tolerate a Hindu priest’s son sitting with a Muslim boy. He ordered Kalam to go and sit on the back bench. This made Ramanandha sad. Abdul started to sit in the last row but it left a bad impression on Abdul. Both the kids narrated the incident to their parents. As a result the teacher was rebuked and reprimanded for spreading communalism and hatred among children.

Question 3: How did Abdul Kalam earn his “first wages”? How did he feel at that time?

Answer: Kalam was only 8 years old when the second world war broke out in 1939. Then there was a great demand for tamarind seeds. Abdul used to collect those seeds and sell them in the market. His cousin Shamsuddin distributed newspapers. The train would not stop at Rameshwaram and the bundles of newspapers were thrown from the running train. Abdul was employed by his cousin to collect them. This way he earned his first wages. He felt very proud on earning his first wage.

Question 4: “Once you decide to change the system, such problems have to be confronted.” What system is being refer in the sentence from the chapter “My Childhood”? What are such problems?

Answer: System means system of discrimination on the basis of religion. The system includes the narrow-mindedness and poison of social inequality and communal intolerance. The Brahmins did not allow Muslims to enter their kitchen. The science teacher – a rebel by nature, invited Kalam to his home and proved that if one is determined to face problems and change the system, he will definitely succeed. Though, such indifferences come in everybody’s life but a person should have a broader outlook and overcome the obstacles.

Question 5: How was the Science teacher Siva Subramaniam Iyer, though an orthodox. Brahmin with a very conservative wife, a friend of Abdul Kalam. Give incidents to support your answer.

Answer: The Science teacher, Siva Subramaniam Iyer, wanted to break the social barriers between the Hindus and the Muslims. He wanted Kalam to be very highly educated as he recognized his intelligence. One day, he invited him over to a meal. His orthodox wife was totally horrified at the idea of a Muslim boy dining in her ritually pure kitchen. He did not mind anything said by his very conservative wife. He rather served the food to Abdul by his own hands. He also sat with him and dined together as well as invited him over again for another meal the coming weekend. Thus, this shows that he was a friend of Abdul Kalam even though Kalam was a Muslim and he himself was an orthodox Brahmin.

Value Based Question

Question 1:‘Childhood’ is the formative period of a child’s life. The lessons learnt here always stays with a person. Comment on it in the light of the lesson A.P.J. Abdul Kalam.

Answer: A.P.J. Abdul Kalam is one of the finest scientists in our country and was also our eleventh President. From his autobiography “Wings of Fire” it is amply clear that lessons learnt in our childhood not only shape our personality but also decide the kind of person we become. He learnt the lessons of religious tolerance, honesty and self-discipline early in his life. These qualities stayed with him throughout his life and have helped to make him one of the finest President of our country with so many diverse cultures.

Extract Based Questions

Read the passage given below and answer the questions that follow:

Question 1: During the annual Shri Sita Rama Kalyanam Ceremony, our family used to arrange boats with a special platform for carrying idols of the Lord from the temple to the marriage site, situated in the middle of the pond called Rama Tirtha which was near our house.

  1. What was the annual event held in Rameshwaram?
  2. Where did the boats carry the idols of the Lord?
  3. Find a word from the passage that means “images of God”.

Answer:

  1. The annual event held in Rameshwaram was Shri Sita Rama Kalyanam Ceremony.
  2. The boats carried the idols of the Lord in the middle of the pond on the site of the marriage (or ceremony or function).
  3. Idols.

Question 2: During the annual Shri Sita Rama Kalyanam Ceremony, our family used to arrange boats with a special platform for carrying idols of the Lord from the temple to the marriage site, situated in the middle of the pond called Rama Tirtha which was near our house. Events from the Ramayana and from the life of the Prophet were the bedtime stories my mother and grandmother would tell the children in our family.

  1. How did the speaker’s family help in Shri Sita Rama Kalyanam Ceremony?
  2. What light does the passage throw on speaker’s family?
  3. Find the word in the passage which means the same “the place where some event takes place”.

Answer:

  1. The speaker’s family used to help in Shri Sita Rama Kalyanam Ceremony by arranging boats with a special platform for carrying idols.
  2. The passage shows that the speaker’s family is a truly secular family which respected other religions also.
  3. Site.

Question 3: After school, we went home and told our respective parents about the incident. Lakshmana Sastry summoned the teacher, and in our presence, told the teacher that he should not spread the poison of social inequality and communal intolerance in the minds of innocent children. He bluntly asked the teacher to either apologize or quit the school and the island. Not only did the teacher regret his behaviour, but the strong sense of conviction. Lakshmana Sastry conveyed ultimately reformed this young teacher.

  1. What brought about a change in the teacher?
  2. What kind of society did the speaker live in?
  3. Find the word/phrase in the passage which means “strong opinion or belief”.

Answer:

  1. The strong sense of conviction that Lakshmana Sastry conveyed brought about a change in the teacher.
  2. The speaker lived in a society which was truly secular.
  3. Conviction.

Question 4: His wife watched us from behind the kitchen door. I wondered whether she had observed any difference in the way I ate rice, drank water or cleaned the floor after the meal. When I was leaving his house, Sivasubramaniam invited me to join him for dinner the next weekend. Observing my habitation, he told me not to get upset, saying “Once you decide to change the system, such problems have to be confronted.” When I visited his house next week, Sivasubramaniam Iyer’s wife took me inside her kitchen and served me food with her own hands.

  1. Why did the teacher’s wife watched them from behind the kitchen door?
  2. Why was the narrator hesitant to eat food, with a Hindu family?
  3. Find the word from the passage that means “to deal with”

Answer:

  1. The teacher’s wife believed in the segregation of different people. She did not want APJ Kalam to enter her kitchen and serve food. She as a result hid behind kitchen door and saw everything.
  2. The narrator felt hesitant to eat food with a Hindu family because he felt he was not welcomed in the family.
  3. Confronted One day, he invited me to his home for a meal. His wife was horrified at the idea of a Muslim boy being invited to dine in her ritually pure kitchen. She refused to serve me in her kitchen.

Question 5: Sivasubramaniam Iyer was not perturbed, nor did he get angry with his wife, but instead, served me’ with his own hands and sat down beside me to eat his meal.

  1. Who is “he” and “me” in the first sentence?
  2. Why was his wife horrified?
  3. Find the word from the passage that means “agitated/upset”.

Answer:

  1. “He” is Sivasubramania Iyer, and “me” is Abdul Kalam.
  2. His wife was horrified at the idea of serving food to a Muslim boy in her kitchen.
  3. Perturbed.


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Chapter 5 The Snake and the Mirror | Class 9th Beehive Most Important Questions english

The Snake and the Mirror Class 9 Important Questions

Short Answer Type Questions

Question 1: What was the doctor thinking while he was seated before the mirror?

Answer: The doctor thought of various medicine he had and if any medicine was good enough to save him if the snake did bite him. He also realized that God had punished him for being so proud and arrogant.

Question 2: Why did the doctor run from his house?
Or
Why did the doctor run away to his friend’s house?

Answer: From writer’s arm the snake slithered into his lap, crept onto the table and then moved towards the mirror. The writer revived, got up from the chair and leapt into the yard and ran to his friend’s house to save his life.

Question 3: How did the doctor show the presence of mind when he encountered the snake?

Answer: The doctor showed great presence of mind on seeing the snake: He neither jumped nor cried out. He sat on the chair holding his breath. His body was still but his mind remained very active.

Question 4: How did the snake change the writer’s opinion about himself?

Answer: The writer was proud of being a doctor. Coming face-to-face with the snake made him humble. He thought he was only a poor and stupid doctor who should not be proud of his profession.

Question 5: While looking into the mirror, what important and earth-shaking decisions did the doctor make?
Or
What were the two important decisions taken by the doctor while looking into the mirror?

Answer: The important decision made by the doctor was that he would shave daily and grow a thin moustache, to look more handsome.
The earth-shaking decision made by the doctor was that he would always keep that attractive smile on his face.

Question 6: What did the doctor do on seeing the snake?

Answer: The doctor saw the snake’s reflection in the mirror. He, then, went to have a closer look. He got up from the chair and ran away from the house.

Question 7: What type of woman did the doctor in the story “The Snake and the Mirror”, want to get married to and why?

Answer: The doctor, who had plenty of money and good medical practice, wanted to get married to a woman who was fat. The reason he gave was that if he, the doctor husband ever made any mistake, and tried to run away, she would not be able to catch him and stop him from escaping.

Question 8: Why did the author of “The Snake and the Mirror” fantasize a fat woman as his wife?

Answer: The author of “The Snake and the Mirror’ fantasizes a fat woman as his wife since she would never be able to catch the doctor on his mistakes. She would not be able to run after him and he would be saved of all kinds of punishments. Thus, the author fantasizes a fat woman as his wife.

Question 9: Why did the snake leave the doctor’s arm?

Answer: The snake left the doctor’s arm because it saw its reflection in the mirror and was fascinated by it and so wanted to enjoy its own reflection by having a closer look. Like his parents even he respects all religions.

Question 10: What made the doctor utter “Death lurked four inches away”?

Answer: The doctor was under the grip of the snake, and sat motionless as a statue, his body was inactive but mind was completely active. He knew very well that the snake would bite him at the slightest movement. This is what made his utter these words.

Long Answer Type Questions

Question 1: “Birds of the same feathers flock together” goes the saying. Does the encounter between the snake and the doctor in the story “The Snake and the Mirror” support the saying? Why or why not?

Answer: Yes, the story supports the saying which means that the people of similar habits and tastes find each other. The doctor enjoyed self-appreciation and could not resist the temptation of looking at his reflection in the mirror. He also takes a number of decisions, so as to improve his looks. The snake that coiled itself on the doctor’s arm, kept staring at its reflection in the mirror for a long time, enjoying its beauty and appreciating its form. The snake was so much engrossed in its beauty that it forgot as to why it had come to the author’s house.

Question 2: Without mirror, the story will lose its charm and reality. Justify.

Answer: The story would lose its charm and reality without the mirror because it fascinates both the characters i.e., doctor and the snake. The doctor makes two important decisions – saving daily and growing thin moustaches to make himself more handsome and keeping a smile on the face all the time while looking at himself in the mirror. The snake also feels attracted to look at his face in the mirror and leaves the doctor’s arm. It sits on the table in front of mirror and the doctor finds an opportunity to move away to save himself. Thus, the story does revolve around the mirror and therefore its important.

Question 3: What are the similarities between the doctor and the snake?

Answer: The doctor and the snake had striking similarities. Both were victims of self-adoration. This is clearly visible in two decisions of the doctor- to shave daily and a grow moustache and also to wear an attractive smile on his face to look handsome. While the snake enjoyed looking at his reflection at closer quarters. It did not move the doctor’s arm and later crept into the table and moved towards the mirror. ,

Question 4: Justify the title of the story ‘The Snake and the Mirror’.

Answer: The story revolves around the narrator, the snake, and the mirror. The narrator hears some familiar sounds – a dull thud and a snake lands on his shoulder. The doctor is terrified and sits there like a stone. He suddenly feels the presence of the creator of the world and death 4-inches away. He forgets danger and smiles feebly. The snake looks into the mirror, moves towards the mirror and wants to enjoy a close reflection in the mirror. Thus the title is justified as the story revolves around the snake and the mirror.

Question 5: Describe in detail the doctor’s feelings when he saw the snake coiled around his arm?

Answer: The doctor was so engrossed in his day dreaming that he did not realize that a snake had wriggled over the back of the chair and landed on his shoulders and could round his left arm with its hood spread out. The doctor sat there without moving an inch, he was afraid lest the snake might strike.

He thought of various medicines he had and if any one of them was good enough to save him if the * snake struck him. He realized the presence of God and felt that it was a punishment for being proud and arrogant.

Value Based Question

Question 1: God has a lot of ways of controlling Our lines. Discuss this in the light of the story ‘The Snake and the Mirror’. .

Answer: Our life is definitely in the hands of God. He is fire supreme power in control of our lives. At times we forget this like the young doctor. He was under the false belief that he was the one who would decide what was going to happen in his life. He was standing in front of the mirror with a lot of pride thinking about his future. The snake was a symbol of God’s control over him. It made him realize that he was close to death and not to life. He was not the master of his life.

Extract Based Questions

Read the passage given below and answer the questions that follow:

Question 1: It seemed as if God appreciated that. The snake turned its head. It looked into the mirror and saw its reflection. I do not claim that it was the first snake that ever looked into the mirror. But it was certain » that the snake was looking into the mirror. Was it admiring its own beauty? Was it trying to make an important decision about growing a moustache or using eye shadow and mascara or wearing a vermilion spot on its forehead?

  1. Where did the snake move its head?
  2. Why did the narrator call it the “first snake”?
  3. Find a word in the passage that means ‘look at with pleasure and satisfaction’.

Answer:

  1. The snake moved its head towards the mirror.
  2. The narrator calls it the “first snake” because this was the first snake he had seen which enjoyed looking into the mirror.
  3. Admiring.

Question 2: “I took my friend and one or two others to my room to move my things from there. But we found we had little to carry.”

  1. Why did narrator want to remove his things?
  2. Why was there little to carry?
  3. Write the opposite of “friend”.

Answer:

  1. The narrator wanted to remove his things as he wanted to leave his house because of the fear. of the snake.
  2. There was little to carry because thieves had stolen his things.
  3. Foe.

Question 3: I didn’t jump. I didn’t tremble. I didn’t cry out. There was no time to do any such thing. The snake slithered along my shoulder and coiled around my left arm above the elbow. The hood was spread out and its head was hardly three or four inches from my face!
It would not be correct to say merely that I sat there holding my breath I was turned to stone.

  1. Why did the author not jump, tremble and cry?
  2. Did the snake bit the speaker? What was his reaction?
  3. What does the word “tremble” from the above lines mean?

Answer:

  1. The author did not jump, tremble and cry because a snake had fallen on his shoulders.
  2. No, the snake did not bite the speaker. He said, “Oh!” He had a relief as he was not bitten by the snake.
  3. Shiver.

Question 4: The snake unwound itself from my arm and slowly slithered into my lap. From there it crept onto the table and moved towards the mirror. Perhaps it wanted to enjoy its reflection at closer quarters.

  1. Where did the snake settle after uncoiling from the writer’s arm?
  2. Why did the snake move towards the mirror?
  3. What does the word “slithered” mean?

Answer:

  1. The snake settled in the writer’s lap after uncoiling from the writer’s arm.
  2. The snake moved towards the mirror to have a closer look of its image.
  3. Crept.

Question 5:I did not tremble. I didn’t cry out. There was no time to do any such thing. The snake slithered along my shoulder and coiled around my left arm above the elbow. The hood was spread out and its head was hardly three or four inches from my face.

  1. What did the snake do to him (doctor)?
  2. How far was death from him ?
  3. Find a word from the passage which means the same as “stretched”.

Answer:

  1. The snake coiled around his left arm above the elbow and spread out its hood’
  2. Death was just three or four inches away from him.
  3. Spread.
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Chapter 4 A Truly Beautiful Mind | Class 9th Beehive Most Important Questions english

A Truly Beautiful Mind Class 9 Important Questions

Short Answer Type Questions

Question 1: Why did the people call Einstein a world citizen?

Answer: People called Einstein a world citizen because he campaigned for peace and democracy and was agitated against arms and bombs especially after the bombing of Hiroshima and Nagasaki.

Question 2: Why did Albert Einstein leave his school?

Answer: Albert Einstein left his school because he was not happy with the education system. He was not at ease with the strict regimentation of the school. He felt suffocated because of which he had to leave school.

Question 3: Why did Einstein hate school?

Answer: He hated school regimentation because of its extreme sense of discipline. He felt tired and suffocated with this atmosphere. He often clashed with his teacher.

Question 4: Why does the world remember Einstein as a world citizen?

Answer: The world remembers Einstein as a world citizen as he was deeply hurt by the mass destruction in Japan and campaigned for peace and democracy – worked for humanity.

Question 5: Why did Einstein write a letter to Franklin Roosevelt?
Or
Why did Einstein write a letter to the American President Roosevelt?

Answer: Einstein wrote a letter to Franklin Roosevelt when the Nazis were in Germany and he had to migrate from there. The discovery of Nuclear fission in Germany made the American physicists upset that the Nazis could use an atom bomb.

Question 6: What is Einstein’s Special Theory of Relativity?

Answer: According to Einstein’s special theory of relativity, time and distance are not absolute. From this followed the world’s most famous formula which describes the relationship between mass and energy i.e., E = mc2.

Question 7: Why did Einstein’s play mates call him “Brother Boring” ?

Answer: Einstein could not mix up with other children. He did not find their games interesting. He often uttered every word twice. He was often teased for his abnormally huge head. And so his friends nicknamed him “Brother Boring.”

Question 8: How was Einstein’s private life unraveling after he finished his studies?

Answer: He had wanted to marry Mileva but his mother was against it. She thought Mileva was three years older than her son and too intelligent for him.

Question 9: What did Einstein call his desk drawer at the patent office and why?

Answer: Einstein called his desk drawer at the patent office the “bureau of theoretical physics” because he was working as a technical expert in the patent office in Bern where he was supposed to be assessing other peoples’ inventions.

Question 10: How did Einstein react to the bombing of Hiroshima and Nagasaki?

Answer: Einstein was shocked at the extent of destruction caused by the bombing. He wrote a long letter to the United Nations and suggested that there should be a World Government.

Long Answer Type Questions

Question 1: Write down the achievements of Albert Einstein.

Answer: Albert Einstein was really a scientific genius. He felt at home in Mathematics but he showed keen interest in physics. After graduating from the university in Zurich he started working vigorously. With his university education he was working on relativity. After his graduation, he remained jobless. So, he gave private lessons. In 1902, he secured a job as a technical expert in the patent office in Bera. But he went on developing his own ideas. The world showered on him honors invitations. He was honored with Noble prize in 1921.

Question 2: Einstein was an unusual child with no indication of his potential greatness. Comment.

Answer: Einstein’s head was larger than the usual head. He was called “Brother Boring” because he never mixed up with his classmates. He left school because he was not happy with the strict regimentation. He loved mechanical toys and thought his sister to be a toy. The head master thought him to be stupid and good for nothing and that he would never succeed in life. He also told Einstein’s father that whatever profession he chose would not matter, because “he will never make a success at anything”. This proves that Einstein was an unusual child with no indication of his potential greatness.

Question 3: What was the outcome of Einstein’s letter which he wrote to the American President, Roosevelt? Did his warning have any impact on America?

Answer: On his colleague’s insistence, Einstein wrote a letter to the American President, Roosevelt when the Nazis were in Germany and he had to migrate from there. The discovery of Nuclear fission in Germany made the American physicists upset that the Nazis could use the bomb. He warned him of the consequences of the atomic bomb. His words had a great impact. The Americans developed the atomic bomb secretly. They dropped it on the Japanese cities of Hiroshima and Nagasaki irf August 1945. Einstein was greatly moved by the destruction. He wrote a long letter to the United Nations and suggested that there should be a world government. This definitely helped ending the world war.

Value Based Question

Question 1: Do you think that in today’s context national boundaries are overcome by global issued?

Answer: The world is undoubtedly a global village. Any issue cannot be resolved at the national level alone. This has been reflected in die case of Albert Einstein. He wrote to the President of the U.S.A. about the evils of a nuclear war, requesting him to take some measures. It is definitely the responsibility of each one of us to shoulder the responsibility of protecting the world.

Extract Based Questions

Read the passage given below and answer the questions that follow:

Question 1: A headmaster once told his father that what Einstein choose as a profession would not matter, because “he will never make a success at anything”. Einstein began learning to play the violin at the age of six, because his mother wanted him to. He later became a gifted amateur violinist, maintaining this skill throughout his life.

  1. What was the headmaster’s opinion about Einstein?
  2. Why did Einstein learn to play violin?
  3. Find a word from the passage that means “having great natural ability”.

Answer:

  1. The headmaster’s opinion about Einstein was that he would never be successful in his life.
  2. Einstein learnt to play the violin to fulfil the desire of his mother.
  3. Gifted.

Question 2: Einstein was deeply shaken by the extent of the destruction. This time he wrote a public missive to the United Nations. In it he proposed the formation of a world government. Unlike the letter to Roosevelt, this one made no impact.

  1. What did Einstein write and to whom?
  2. Why did he write a letter to Roosevelt earlier?
  3. Find the word from the extract that means – “a long and official letter”.

Answer:

  1. Einstein wrote a public missive to the United Nations proposing the formation of a world government.
  2. He wrote a letter to Roosevelt earlier in which he warned him by saying, “a single bomb of
    this type might very well destroy the whole part with some of the surrounding territory”, i.e., a letter warning him for a bomb blast. ,
  3. Missive.

Question 3: “The pair finally got married in January 1903, and had two sons. But a few years later, the marriage faltered”.

  1. Name the “pair” referred to in the above lines.
  2. What happened to their marriage?
  3. Which word from the extract means “became weak”?

Answer:

  1. The pair referred to in the above lines is of Albert Einstein and Mileva.
  2. Their marriage was not successful.
  3. Faltered.

Question 4:He also felt a special interest in a fellow student, Mileva Marie, whom he found to be a “clever creature”. This young serb had come to Switzerland because the University in Zurich was one of the few in Europe where women could get degrees. Einstein saw in her an ally against the “philistines”- those people in his family and at the university with whom he was constantly at odds.

  1. Who is “clever creature” and “young serb” in the passage?
  2. Why did the young serh come to Switzerland?
  3. What was the attitude of Einstein towards the young serb? (Board Term 1,2012, ELI-025)

Or

  1. Who felt special interest in Mileva Marie and why?
  2. Why did Mileva Marie come to Switzerland?
  3. Which word in the passage means “softness”?

Answer:

  1. Mileva Marie, a fellow student with Einstein is referred to as a “clever creature” and “young serb”.
  2. The young serb had come to Switzerland because the university in Zurich was one of the few in Europe where women could get degrees.
  3. Einstein was attracted to her and he wanted to join her.

Or

  1. Albert Einstein felt a special interest in Mileva Marie as he thought her to be a clever creature.
  2. Mileva Marie came to Switzerland as the University of Zurich was one of the few places of Europe where women could get degrees.
  3. Tenderness.
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Chapter 3 The Little Girl |Class 9th Beehive Most Important Questions english

The Little Girl Class 9 Important Questions

Short Answer Type Questions

Question 1: What orders were passed to Kezia in the evening when father returned home from office?

Answer: When Kezia’s father returned home from office she was supposed to come down, take off father’s shoes and put them outside. She was also to put her father’s teacup on file tea table.

Question 2: Why did Kezia avoid her father?

Answer: Kezia avoided her father because according to her, her father was an emotionless person. He never spoke to Kezia lovingly and calmly. He scolded Kezia and reprimanded her for making mistakes. Kezia stammered in front of her father since he was a very huge and giant like figure far away from the warmth of a father.

Question 3: Why did Kezia stammer in front of her father?
Or
Why did Kezia stutter only with her father?

Answer: Kezia father always scolded her never spoke to her in a loving manner. So, Kezia stammered in front of her father because she was afraid of him and found it difficult to speak in front of him.

Question 4: Why was Kezia afraid of her father?

Answer: Kezia was a little sensitive girl. Her father was aggressive and always spoke loudly. He always scolded her. He used to beat her. Even when she accepted her mistakes. He never played with her. This made her afraid of her father.

Question 5: What made Kezia’s father punish her?

Answer: She tore important papers of her father to stuff in the pin cushion because she was making a gift to present to her father. Since the papers had her father’s speech written on it, she was punished for tearing it.

Question 6: “Father’s great speech for the Port Authority had been lost.” What had happened to father’s speech?

Answer: Father’s speech had been tom to pieces by Kezia, the little girl. She was making a pin cushion as a gift to her father, for his birthday. As she was not able to find anything to stuff it with, she tore the speech and stuffed it in her cushion.

Question 7: Why did Kezia’s grandmother send her to the drawing room every Sunday afternoon?

Answer: Kezia’s grandmother knew that she was afraid of her father and she felt that if she spoke to him more often, she would gq£ rid of that fear. So, every Sunday afternoon she used to send her to the drawing room to have a nice talk with her father.

Question 8: What kind of a person was Kezia’s father?

Answer: Kezia’s father was a hard working man but short tempered. He was a strict disciplinarian too. When Kezia’s mother was hospitalized, Kezia realized that her father loved her but didn’t have the art of expressing his love.

Question 9: What did Kezia find whenever on Sunday afternoons her grandmother sent her down to have a talk with her parents?

Answer: Whenever Kezia was sent by her grandmother to talk to her parents on Sunday afternoons, she always found her mother reading and her father stretched out on the sofa, sleeping soundly and snoring.

Question 10: How was Kezia’s father different from Mr. McDonalds?

Answer: Mr. McDonalds played with his children. The girls would hang on to his coat, they would laugh together. Kezia’s father had no time for such things. He really worked very hard for the family.

Question 11: How did the father comfort the little girl, Kezia, when she got scared in her sleep?

Answer: The father came to Kezia’s room with a candle, lifted her up in his strong arms, lay beside her and made her stay close to him. She held his shirt and snuggled herself close to her father. This comforted Kezia when she got scared in her sleep.

Long Answer Type Questions

Question 1: How did Kezia’s negative attitude towards her father change?
Or
What were the circumstances that forced Kezia to change her opinion about her father?

Answer: When her mother was hospitalized, her grandmother went to stay with her. Kezia used to sleep alone at night. She was so scared that she started shouting at night. She had nightmares and trembled a lot with fear. Then her father came to her room and took her into his aims to comfort her. She felt secured with her father near her. Then she realized that her father was busy with work and had no time to play. She even realized that her father loved her but didn’t have the art of expressing it. Thus, her attitude towards her father changed towards positive.

Question 2: How did Kezia’s efforts to please her father resulted in displeasing him veiy much? Elaborate.

Answer: Kezia was very scared of her father and stuttered while talking to him. This annoyed him a lot. When she waited and stared at him to have a nice long chat, he did not like it. She unknowingly destroyed some of his important papers while stuffing a cushion which die wanted to present to him on his birthday. This made him very angry and he beat her up badly. Therefore, Kezia’s efforts to please her father resulted in displeasing him very much.

Question 3: Kezia decides that there are “different kinds of fathers”. What kind of father was Mr. McDonald, and how was he different from Kezia’s father?
Or
How is Kezia’s father different from Mr. McDonald?

Answer: Mr. McDonald was their next door neighbour. Once Kezia saw her neighbours playing “tag” together in the evening. Mr. McDonald with the baby Mao, on his shoulders and the two little girls ‘ hanging on to his coat pockets. They ran round and round shaking with laughter. On the other hand, her own father was very disciplined and strict. He never played with her and neither interact much. He even beat her up for her little mistakes.

Question 4: Why was Kezia scared of her father and how did she get over her fear?

Answer: Kezia’s father was big like a giant and was very strict. He punished Kezia when she tore his important speech. One day, when Kezia’s mother fell ill, her mother and grandmother were in the hospital. Kezia was left alone with her father at home. She had a nightmare and screamed with fright. Her father then carried Kezia in his lap to comfort and soothen her. That closeness with her father during those days made her forget all fears.

Question 5: How did Kezia feel in present* of her father?

Answer: Kezia was scared of her father as he looked like a giant. Every morning he used to give her a good bye kiss. She used to feel uncomfortable till her father was at home. She even stammered while answering him. He scolded her one day and even beat her for tearing some of his important papers. But when Kezia used to cry during the night, he would carry her to his room. She then realized that her father was actually tender and affectionate and this changed her perception towards him.

Value Based Questions

Question 1: Kezia in the story “The Little Girl” was afraid of her father because he never communicated with her. Imagine you are parenting councellor, based on your reading of the story write a paragraph advising the parents to make communication with their children priority.

Answer: In the story, Kezia is always scared of her father. Her father was a strict disciplinarian who was always strict towards her. He never spoke to her softly and in a loving manner. He always scolded her and even beat her up for small mistakes. Parents should not let their stress and workload interfere in their family life. Parents should always spend quality time with their children. Bonding and understanding should always be there so that the children can open up their feelings and problems with their parents. Their should be no communication gap between the parents and their children.

Question 2:‘ The relation between a parent and child should be distant and formal or should it be close and warm.

Answer: In today’s modem context parents and children should be more like friends. The relationship between them should be warm and close. This would be very helpful in developing the overall personality of the child. It also helps in boosting the confidence of the child anrimaking him more strong in his relation. Therefore, it is necessary that children share a close relation with their parents and there should be no fear but only respect and love.

Extract Based Questions

Read the passage given below and answer the questions that follow:

Question 1: To the little girl he was a figure to be feared and avoided. Every morning before going to work he came into her room and gave her a casual kiss, to which she responded with ‘Good Bye Father’. And oh, there Was a glad sense of relief when she heard the noise of the carriage growing fainter and fainter down the long road!

  1. What was the daily routine of the father?
  2. ‘When did the daughter feel relief?
  3. Trace a word from the passage which means “answered”.

Answer:

  1.  The daily routine of Kezia’s father was to visit her daughter’s room, meet her and give her a kiss before leaving for work.
  2. The daughter felt relief when the carriage went away from the house.
  3. Responded.

Question 2: But the same old nightmare came the butcher with a knife and a rope who came nearer and nearer, with that dreadful smile, while she could not move, only stand still, crying out “Grandma!”. She woke shivering to see father beside her bed, a candle in his hand. “What is the matter?” he said.

  1. Why did she get the nightmare?
  2. Where was the butcher?
  3. Find a word from the passage that means “shake in fear and cold”.

Answer:

  1. She got the nightmare as she was alone with her father at home and her mother and granny were in the hospital.
  2. The butcher was in her dream.
  3. Shivering.

Question 3: “But it was for your b-b- birth day.” Down came the ruler on her little, pink palms. Hours later, when grandmother had wrapped her in a shawl and rocked her in the rocking-chair, the child clung to her soft body. “What did God make fathers for?” she sobbed.

  1. Who is responding in the first line and before whom?
  2. How did the father react?
  3. Find a word from the passage that means “wept”.

Answer:

  1. Kezia is responding before her father.
  2. The father became angry and beat her pink palms with a ruler.
  3. Sobbed.

Question 4: On Sunday afternoon, Grandmother sent her down to file drawing room to have a “Nice talk with Father and Mother”. But the little girl always found mother reading and father stretched out on the sofa, his handkerchief on his flee, his feet on one of file best cushion, sleeping soundly and snoring.

  1. Who was ‘she’ and why did the grandmother send her down?
  2. What did she notice about her parents?
  3. Trace a word that means “undisturbed”.

Answer:

  1. “She” is Kezia. Grandmother sent her down to have a nice talk with her parents.
  2. She noticed that her father was sleeping and snoring and mother was reading.
  3. Soundly.

Question 5:
She sat on a stool, gravely watched him until he woke and stretched, and asked the time – then looked at her. “Don’t stare so, Kezia. You look like a little brown owl”.

  1. Who is Kezia watching gravely?
  2. Why was she sitting there waiting for him to wake up?
  3. Trace the word in the extract which means “seriously”.

Answer:

  1. Kezia was watching her father gravely.
  2. On a Sunday afternoon, her grandmother sent her to have a nice talk with father and mother. But Kezia always found her father sleeping on the sofa.
  3. Gravely.
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Chapter 2 The Sound of Music |Class 9 Beehive Most Important Questions english

The Sound of Music Class 9 Important Questions

Short Answer Type Questions
Part – 1

Question 1: When was Evelyn’s deafness first noticed? When was it confirmed?

Answer: Isabel had a doubt about Evelyn’s hearing ability when she did not move when her name was called to play on the piano. At the age of 11 it was confirmed when she was taken to a specialist.

Question 2: When and how did Evelyn lose her power of hearing?

Answer: Evelyn lost her power of hearing due to gradual nerve damage. At the age of 8 it was noticed and then at the age of 11 it was confirmed that Evelyn had lost her hearing ability.

Question 3: Why was Evelyn nervous while going to Royal Academy of Music?

Answer: Evelyn was nervous while going to the Royal Academy of Music as she was just 16 years old and was fresh from the Scottish farms, to add to her nervousness.

Question 4: How did Evelyn’s deafness come to light?
OR
When did Evelyn’s mother notice that something was wrong with her hearing?

Answer: At the age of 8 when her name was announced to play on piano, she did not respond. At the age of 11, her marks deteriorated. The headmistress urged her parents to take her to a specialist and her hearing impairment was discovered.

Question 5: Who helped Evelyn to continue with music? What did he do and say?

Answer: When Evelyn wanted to pursue her career in music, everyone discouraged her. It was a Percussionist Ron Forbes who helped and encouraged her to listen to the music and feel the music through her body.

Question 6: How did Evelyn hear music despite being deaf?

Answer: Evelyn could sense music through her body. While playing on the xylophone, she could sense music through her fingertips and would learn against drums to sense. On the wooden floors, she used to remove her shoes and sense music through her feet moving of the legs.

Question 7: What is Evelyn’s secret of success and what message does she give to achievers?

Answer: Evelyn’s secret of success was strong determination and hard work. The message that she gives to the achievers is that work hard and get what you want.

Question 8: How has Evelyn Glennie inspired handicapped people?

Answer: When the handicapped people used to see Evelyn Glennie, they used to say, “If she can do it, I can”,And so, she resulted in inspiring them.

Question 9: Write down Evelyn’s message for the people.

Answer: Evelyn’s message to the people is that—Strong determination and hard work with sincerely / honesty leads to success. Aim for your goal and try to reach your goal with full determination and concentration.

Long Answer Type Questions

Question 1: How did Evelyn Glennie fight with her physical disability?

Answer: Evelyn Glennie was a very brave girl. She learnt to open her body and mind to the sounds and vibrations. She used to feel as if music was flowing through her body. So she joined an orchestra and later the Royal Academy of Music. She did not want to be deprived of the joy of music that made her happy. She later even gave solo performances on stage in many countries and became famous.

Question 2: In spite of her towering success Evelyn Glennie does not accept any hint of heroic achievement. Explain.

Answer: Evelyn Glennie had a hearing loss and was discouraged by most of the teachers but she did not give up. Ron Forbes guided her to listen through her body not ears. Eventually, Evelyn learnt to open her body and mind to sound and vibrations. She scored the highest marks in the history of Royal Academy of Music. She also captured many top awards and brought percussion to the front of the orchestra. She has given pleasure to millions and in spite of this towering success she does, not accept any hint of heroic achievement and is a very simple person.

Question 3: Evelyn’s determination to overcome her disability has made her source of inspiration for deaf children. Comment.

Answer: When Evelyn became deaf, she was determined to lead a normal life. She was encouraged by her percussion teacher. She learned to sense music through different parts of the body and opened her mind and body to vibrations. She could feel higher drum from waist up and xylophone music through fingertips. She used to remove her shoes on the wooden floors. She was the master of a thousand instruments and most sought after as a multi – percussionist.

Question 4: How is Evelyn Glennie helping other with her popularity and skill?

Answer: Inspite of Evelyn’s deafness she joined the prestigious Royal Academy of Music and won the “Soloist of the Year” award. Evelyn used to practice for hours learning languages such as Japanese and French. She earned a lot but was kind at heart. She used to give free performances in prisons and hospitals and also proved a personal example of tireless hard work and firm determination.

Question 5: How did Evelyn succeed in pursuing her interest in music?

Answer: Evelyn decided not to give up. It was Ron Forbes who recognized her potential and supported her. He advised her not to listen through her ears but to open her body and mind to the vibrations. She mastered the art of interpreting different vibrations of sound on her body to different notes. She could feel the higher drum from the waist up and the lower one from the waist down. After the practice she could sense music in different parts of her body. And by this, Evelyn succeeded in pursuing her interest in music.

Value Based Question

Question 1: “A problem is only as big as we make it.” This thought has been very beautifully brought out in the lesson. Discuss.

Answer: Evelyn Glennie is profoundly deaf and cannot hear a word. Thus, she overcame this difficulty and learnt to listen music from her body. She not only scored highest marks in the history of the Royal Academy of Music but also became a renowned musician. She is an idol for a lot of people and a source of inspiration for. them. Her story tells us that no problem is so great that it cannot be overcome.

Extract Based Questions

Read the passage given below and answer the questions that follow.

Question 1: Her mother remembers noticing something was wrong when the eight-year-old Evelyn was waiting to play the piano. “They called her name and she didn’t move. I suddenly realized she hadn’t heard,” says Isabel Glennie. For quite a while Evelyn managed to conceal her growing deafness from friends and teachers. But by the time she was eleven her marks had deteriorated and her headmistress urged her parents to take her to a specialist.

  1. What made Isabel suspect Evelyn’s hearing ability?
  2. Why did Evelyn’s headmistress advised her parents to consult a specialist?
  3. Find the word/phrase in the passage which means the same as “to hide”.

Answer:

  1. Isabel had a doubt about Evelyn’s hearing ability when she did not move when her name was called to play on the piano.
  2. Evelyn’s headmistress advised her parents to consult a specialist when her marks deteriorated.
  3. Conceal.

Question 2: As for music, she explains “it pours in through every part of my body. It tingles in the skin, my cheekbones and even in my hair”. When she plays the xylophone, she can sense the sound passing up the stick into her finger tips. By leaning against the drums, she can feel the resonances flowing into her body. On a wooden platform, she removes her shoes so that the vibrations pass through her bare feet and up her legs.

  1. How does Evelyn hear the sound of xylophone?
  2. Why does she remove her shoes on a wooden platform during her performance?
  3. Find a word from the passage that means “‘take off”.

Answer:

  1. Evelyn hears the sound of xylophone through her finger tips.
  2. She removes her shoes on a wooden platform during her performance so that she can feel the vibrations of music through her feet to legs.
  3. Removes.

Question 3: She never looked back from that point onwards. She toured the United Kingdom with a youth orchestra and by the time she was sixteen, she had decided to make music her life. She auditioned for the Royal Academy of Music and scored one of the highest marks in the history of the academy. She gradually moved from orchestral work to solo performances.

  1. What did Evelyn decide when she was sixteen years old?
  2. How did Evelyn get right to the top?
  3. Which word in the passage means the same as “gave a short performance so that the director
    could decide whether she was good enough”

Answer:

  1. When Evelyn was sixteen years old, she decided to make music her life.
  2. Evelyn got to the top by hard work, motivation and determination.
  3. Auditioned.

Question 4: For quite a while, Evelyn managed to conceal her growing deafness from friends and teachers. But by the time she was eleven, her marks had deteriorated and her headmistress urged her parents to take her to a specialist. It was then discovered that her hearing was severely impaired as a result of gradual nerve damage. They were advised that she should be fitted with hearing aids and sent to a school of the deaf.

  1. Why did headmistress urge her parents to take her to the specialists?
  2. At what age were symptoms of deafness noticed in Evelyn?
  3. Trace the word that means “damaged”.

Answer:

  1. Evelyn’s school’s headmistress urged her parents to take her to a specialist because she had a hearing problem.
  2. At the age of eleven the symptoms of deafness were noticed in Evelyn.
  3. Impaired.

Question 5: Rush hour crowds jostle for position on the underground train platform. A slight girl, looking younger than her seventeen years, was nervous yet excited as she felt the vibrations of the approaching train. It was her first day at the prestigious Royal Academy of Music in London and daunting enough for any teenager fresh from a Scottish farm.

  1. Who is the ‘girl’ in the above lines?
  2. Where was she going?
  3. Find the word from the extract that means “frightening”.

Answer:

  1. Evelyn Glennie.
  2. She was going to the prestigious Royal Academy of Music in London.
  3. Daunting.

Part 2
Short Answer Type Questions

Question 1: How did ‘pungi’ transform into a Shehnai?

Answer:‘Pungi’ a musical instrument was banned because of its shrill and unpleasant sound. But a nai modified and perfected it and played it for the first time an Shah’s chamber, thus it came to be known as ‘Shehnai’.

Question 2: Who had brought shehnai to the classical Stage? What was he honoured with?

Answer: Shehnai was brought to the classical stage by Ustad Bismillah Khan. He started picking up the finger nuances of Shehnai under the guidance of his maternal uncle Ali Bux. He had been honoured with Padma Bhushan, Padmashree and Padma Vibhushan.

Question 3: Why did Bismillah Khan refuse to start a shehnai school in the U.S.A.?

Answer: Bismillah Khan refused to start a Shehnai school in the U.S.A. because he could not live outside India. He was in love with Benares and Dumraon and missed it whenever he was in abroad.

Question 4: Why did emperor Aurangazeb ban the playing of Pungi in the royal residence?

Answer: Aurangazeb banned the playing of the Pungi in the royal residence because of its shrill unpleasant sound. It was regarded more as a noise maker than a musical instrument. –

Question 5: What is the difference between a Pungi and a Shehnai?

Answer: The difference between a Pungi and Shehnai can be noticed by the difference in their shapes and the sound produced by them. A Shehnai is longer than a Pungi. The latter has a shrill, unpleasant sound whereas, the former has a soft, melodious sound.

Question 6: Why did Bismillah Khan refuse to start a Shehnai school in the U.S.A.?

Answer: Bismillah Khan refused to start a Shehnai school in the U.S.A. because he was a true patriot and loved India a lot specially the banks of the river Ganga.

Question 7: How do we know that sound of Shehnai is considered auspicious?

Answer: We know that the sound of the Shehnai is considered auspicious because it is played in temples, and is a must for all happy occasions like marriages.

Question 8: What were the recurring themes of Bismillah Khan’s music?

Answer: The recurring themes of Bismillah Khan’s music was the relationships between the human beings and the flowing waters of the Ganga. He thought that Benares and Dumraon were the most wonderful towns of the world.

Question 9: How did “Pungi” get its new name? What was it?

Answer: Pungi was modified and perfected by a barber which was very much appreciated by the emperor. Since, it was played for the first time in Shah’s chamber by a Nai, it came to be known as ‘Shehnai.’

Question 10: What place did Shehnai have in the past? What place has it now?

Answer: In the past, the Shehnai was a part of the traditional ensemble of nine instruments found at royal courts. Then, it was used in temples and weddings but now it is used also in the classical concerts.

Question 11: When and how did Bismillah Khan get the break?

Answer: Bismillah Khan, at the age of 14, accompanied his uncle to Allahabad Music Conference where Ustad Fayaz Khan patted his shoulder. He got encouraged and worked hard and got a big break from the All India Radio in 1938.

Question 12: Where did Bismillah Khan play the Shehnai on 15th Aug 1947? Why was the event historic?

 Answer: Bismillah Khan was the first Indian to greet the nation with Shehnai and played ‘Raag Kafi’ from the Red Fort. The event was historic because the audience included Pandit Jawaharlal Nehru, who gave the famous speech – Tryst with Destiny. .

Question 13: Why did Bismillah Khan regularly go to the nearby Bihariji temple in his childhood and what did he earn?

Answer: At the age of 5, Bismillah Khan would regularly visit the Bihariji temple to sing Bhojpuri “Chaitya”, For his melodious singing he used to earn a laddu weighing 1.25 kg. from the local Bhojpuri King.

Long Answer Type Questions

Question 1: “There is always a teacher to bring out the latent potential of a pupil/’ Justify with reference to the role played by Ron Forbes and Ustad Faiyaz Khan in the lives of Evelyn Glennie and Bismillah Khan.

Answer: Teachers craft us to become better individuals both personally and professionally. Ron Forbes understood Evelyn’s passion for music. He taught Evelyn the nuances of hearing music not through her ears but through her body. He taught her to feel the vibrations in her hands and parts of legs to get the pitch. So, he crafted her to be more musical and confident.
Bismillah Khan’s teacher and mentor was his maternal uncle Ali Bux. Bismillah used to be transfixed when Ali Bux used to play Shehnai. As a child, Bismillah used to accompany his material uncle to Vishnu Temple of Benares where Ali Bux was employed to play Shehnai. Bismillah picked up the finer nuances of Shehnai and practiced for hours on the banks of river Ganga. He attained perfection only because of his uncle and mentor.

Question 2: Give a brief character sketch of Ustad Bismillah Khan.

Answer: Ustad Bismillah Khan was a Shehnai master of great national and international fame. He was a great musician. Ali Bux, his maternal unde perfected him in music. Shehnai was brought to the classical stage by Ustad Bismillah Khan. He practiced for hours and worked very hard to attain perfection. It was his melodious music that made him the first Indian to greet tire independent India. Ustad Bismillah Khan created many new rags. He was given many awards and he even received the “Bharat Ratna”. He was a true patriot who declined many offers to settle aborad. He was a true artist but a simple man. He had great regard for Hindustani Classical Music.

Question 3: How did the young Bismillah develop his interest in Shehnai?

Answer: Bismillah was fascinated watching his uncle practice the Shehnai when he was only three. He was deeply fascinated by the music of Shehnai. Soon Bismillah started accompanying his uncle Ali Bux, to the Vishnu Temple of Benares where Bux was employed to play Shehnai. Bismillah picked up the finer nuances of Shehnai and practiced for hours on the banks of river Ganga. The themes of his music deeply affected by the sounds of flowing water of the Ganga. At the age of 14, Bismillah accompanied his uncle to Allahabad music conference where Ustad Fayaz Khan patted his shoulder which inspired and encouraged him to work harder.

Question 4: How was Bismillah Khan’s music recognized internationally?

Answer: Bismillah Khan was not only renowned in India iMt also internationally. He promoted Shehnai to international levels of participating in the world exposition, Cannes Art festival and Osaka Trade Fair. He became the first Indian to be invited to perform at the prestigious Lincoln Central Hall in the United States of America. So well known did he become internationally that an auditorium in Tehran was named after him, “Tahar Mosiquee Ustaad Bismillah Khan.”

Question 5: Why did Bismillah Khan refuse to start a Shehnai school in the U.S.A.? ,

Answer: Bismillah Khan was exceedingly fond of Benares and Dumraon. They were the most wonderful towns of the world for him. The students promised to recreate the atmosphere of Benares, but he asked if they would be able to transport River Ganga as well. Whenever, he was in a foreign country he yearned for Hindustan. In Mumbai also he thought of only Benares and the holy Ganga. Thus, herefused to start a Shehnai School in the U.S.A.

Value Based Question

Question 1: Do you think Bismillah Khan had very pure and deep feelings for India?

Answer: Yes, Bismillah Khan had very pure and deep rooted feelings for India especially for thfe banks of River Ganga and Benares. His love was so profound that he even refused to go to the U.S.A. to start up a school. He did not even enjoy in Mumbai as he found the life to be very artificial. He was deeply connected to the banks of River Ganga and Benares.

Extract Based Questions

Read the passage given below and answer the questions that follow. 

Question 1: The young boy took to music early in life. At the age of three when his mother took him to his maternal uncle’s house in Benares (now Varanasi); Bismillah was fascinated watching his uncles practice the shehnai. Soon Bismillah started accompanying his uncle, Ali Bux, to the Vishnu temple of Benares where Ali Bux was employed to the play the Shehnai. Ali Bux would play the shehnai and Bismillah would sit captivated for hours on end.

  1. Where did the young boy spend his life at the age of three?
  2. What fascinated the young boy?
  3. Who was Ali Bux and where was he employed?

Answer:

  1. At the age of three, the young boy spent his life at his maternal uncle’s house in Benares.
  2. Shehnai and the practice of shehnai by his uncles fascinated the little boy.
  3. Ali Bux was Bismillah Khan’s maternal uncle. He was employed at the Vishnu Temple of Benares.

Question 2: Awards and recognition came thick and fast. Bismillah Khan became the first Indian to be invited to perform at the prestigious Lincoln Centre Hall in the United States of America. He also took part in the World Exposition in Montreal, in the Cannes Art Festival and in the Osaka Trade Fair. So well known did he become internationally that an auditorium in Tehran was named after him. Tahar Mosiquee Ustaad Bismillah Khan.

  1. What special recognition did Bismillah Khan achieve?
  2. Bismillah Khan promoted Shehnai to international level. How?
  3. The word in the passage means “prominent”.

Answer:

  1.  The special recognition that Bismillah Khan achieved was to be the first Indian to perform at
    Lincoln Central Hall.
  2. Bismillah Khan promoted Shehnai to international levels by participating in the World Exposition, Cannes Art festival and Osaka Trade Fair.
  3. prestigious.

Question 3: When India gained independence on 15th August, 1947, Bismillah Khan became the first Indian to greet the nation with his* Shehnai. He poured his heart out into Raag Kafi from the Red Fort to an audience which included Pandit Jawaharlal Nehru, who later gave his famous “Tryst with Destiny” speech.

  1. How did Bismillah Khan greet the nation?
  2. Who delivered the speech “Tryst with Destiny”?
  3. Find a word from the passage that means “gathering of persons for the purpose of hearing a speaker”.

Answer:

  1. Bismillah Khan greeted the nation by playing Raag Kafi on his Shehnai.
  2. Jawaharlal Nehru.
  3. Audience.

Question 4: His first trip abroad was to Afghanistan where King Zahir Shah was so taken in by the maestro that he gifted him priceless Persian carpets and other souvenirs.

  1. Bismillah Khan’s first trip abroad was to which country?
  2. What did Zahir Shah present Bismillah Khan?
  3. Find word from the passage which has the same meaning as “momenta”

Answer:

  1. Bismillah Khan’s first trip abroad was to Afghanistan.
  2. Zahir Shah presented Bismillah Khan priceless Persian carpets and souvenirs.
  3. Souvenirs

Question 5: When India gained independence on August 15,1947, Bismillah Khan became the first Indian to greet the nation with his shehnai. He poured his heart out into Raag Kafi from Red – Fort to an audience which included Mahatma Gandhi and Pandit Jawaharlal Nehru.

  1. When did India gain Independence?
  2. Which Raag did Bismillah Khan play from Red Fort?
  3. What do the words “poured his heart out” here refer to?

Answer:

  1. India gained independence on 15th August, 1947.
  2. Bismillah Khan played the Raag Kafi from the Red Fort.
  3. Played from the depth of his heart
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Chapter 1 The Fun they Had mcqs & most important questions | class 8th english

The Fun They Had MCQ Questions Class 9 English with Answers

Question. Tommy walked away with the ______ book beneath his arm
(a) Torn
(b) Dusty
(c) Imaginary
(d) Both (b) and (c)

Answer :   B

Question. “……..If you don’t like it, you don’t have to read the book”- Who said this?
(a) Tommy
(b) Margie
(c) County Inspector
(d) Mrs. Jones

Answer :   A

Question. Who are Margie and Tommy?
(a) cousins
(b) brother sister
(c) friends
(d) neighbors

Answer :   D

Question. How long (approx.) did the inspector take to fix the mechanical teacher?
(a) 2 hours
(b) 1 hour
(c) 3 hours
(d) 4 hours

Answer :   B

Question. What was the diffrence between old schools and modern schools/
(a) old schools had many friends and modern school had no fellows
(b) old schools had human teachers and modern schools had robots
(c) old schools had playgrounds and modern school had only computers
(d) All

Answer :   D

Question. “Why would anyone write about school” -Who said this?
(a) Tommy
(b) Margie
(c) Mrs. Jones
(d) Blair

Answer :   B

Question. Margie was scornful-
(a) About her geography scores
(b) Knowing that the real book detailed about school
(c) About Tommy’s scores
(d) About festivals

Answer :   B

Question. The section of which subject was completely deleted from Tommy’s computer?
(a) English
(b) History
(c) Social Studies
(d) Geography

Answer :   B

Question. How old is Tommy?
(a) 10 years old
(b) 13 years old
(c) 15 years old
(d) 12 years old

Answer :   B

Question. What subjects did Margie and Tommy learn?
(a) Mathematics
(b) Science
(c) Geography
(d) All

Answer :   D

Question. According to Margie, in an older time, the schools were
(a) Big
(b) Brown
(c) Funny
(d) Stupid

Answer :   C

Question. Margie had to write out her homework
(a) In Russian
(b) In Punch code
(c) In English
(d) None of the above

Answer :   B

Question. The kids in the old schooling pattern went home together
(a) In between classes
(b) During afternoon breaks
(c) During festivals
(d) At the end of the day

Answer :   D

Question. What did the teacher in the real book do?
(a) Teaches through computer
(b) Gives lessons online
(c) Taught and gave questions in person
(d) Mailed them the lesson

Answer :   C

Question. How much time was taken to repair Tommy’s teacher?
(a) 5 days
(b) 25 days
(c) 20 days
(d) one month

Answer :   D

Question: Tommy got old book forms –
(a) His own house
(b) Library
(c) Margie’s house
(d) Friend’s house

Answer:    A

Question. Who was the regular teacher who taught the lessons?
(a) human teacher
(b) computer teacher
(c) who teaches
(d) mechanical robot teacher who teaches Margie and Tommy

Answer :   D

Question. Where was Margie’s school?
(a) in a village
(b) in a city outskirt
(c) in her own house
(d) in a room in her house where a computer was set up

Answer :   D

Question. Where did Tommy find the book?
(a) in a public library
(b) in a library
(c) in his house
(d) on the roadside

Answer :   C

Question. How old is Margie?
(a) 10 years old
(b) 11 years old
(c) 12 years old
(d) 13 years old

Answer :   B

Question. To which world does the story take the readers to?
(a) future world
(b) past world
(c) present World
(d) future world where computers will play a major role

Answer :   D

Question. Who is the main character of the story?
(a) parents
(b) children
(c) Margie
(d) Tommy

Answer :   C

Question. What did Tommy find?
(a) an old book with yellow crinky pages
(b) a yellow pages book
(c) a brand new book
(d) a diary

Answer :   A

Question: Margie was writing the diary on –
(a) 17th June 2157
(b) 17th May 2158
(c) 16th May 2057
(d) 17th May 2157

Answer:   D

Question. What is a telebook?
(a) an e-book
(b) an electronic book
(c) book stored in a computer
(d) all

Answer :   D

Question. Who went to school?
(a) Margie
(b) Tommy
(c) Teachers
(d) Margie and Tommy’s ancestors

Answer :   D

Question. Why did Margie’s mother call the County Inspector?
(a) to repair a leakage
(b) to talk to Margie
(c) to talk to Tommy
(d) to check the fault in Margie’s teacher in the Geography section

Answer :   D

Question. Why did Margie hate school?
(a) because of machine work
(b) no fun was there
(c) no new things
(d) All

Answer :   D

Question: The writer of the story “The fun they had”
(a) Isaac Asimov
(b) Arthur Rimbaud
(c) Shakespeare
(d) Gieve Patel

Answer:  A

The Fun They Had Class 9 Important Questions

Short Answer Type Questions

Question 1: How was the book that Tommy found different from his own books?

Answer: The book that Tommy found was an old, real book which belonged to his grandfather’s grandfather. It had crinkly, yellow pages whereas, Tommy’s books were telebooks by mechanical teachers, computers.

Question 2: What kind of book did Tommy show to Margie?

Answer: The book that Tommy showed to Margie was an old, real book which belonged to his grandfather’s. It had crinkly yellow pages, where all the stories were printed on paper and the words stood still.

Question 3: Why did Margie hope that the County Inspector would take away her mechanical teacher?

Answer: Margie hoped that the County Inspector would take away her mechanical teacher because she had performed poorly in all the geography tests and had developed a strong disliking for the school.

Question 4: Tommy thought the old books were funny and a big waste. Why?

Answer: Tommy thought that the old books were a waste because the words stood still and did not run. He also thought that they were a big waste because they could not be reused like the screen of their mechanical teacher.

Question 5: What did County Inspector do to improve Margie’s performance?

Answer: The County Inspector found that the geography sector had been geared too quick. He slowed it up to an average 10-years level. He found the overall pattern of Margie quite satisfactory.

Question 6: What kind of teachers did Margie and Tommy have?

Answer: Margie and Tommy had mechanical teachers, computer, and telebooks. Their school had. no separate building. They had robotic teachers showing lessons and testing papers. Their teachers were always on and kept waiting for them.

Question 7: Why did Margie hate school?

Answer: Margie hated school, which was a room in her house only, because her teacher was a mechanical one. It kept giving her test papers where answers had to be written as punch codes. The results were given instantaneously.

Question 8: What differences do you find in present school and the school described in the lesson ‘The Fun They Had’?

Answer: In present day schools, students study together in a separate building and teachers are human beings whereas, in the lesson the school was at home and the teacher was mechanical.

Question 9: How does Tommy describe the old kind of teachers?

Answer: Earlier, the teachers were not mechanical teachers, they taught the children in a special building where all children went to learn. They asked questions and gave them home work.

Question 10: Why did Margie find the book strange?

Answer: The book had yellow and crinkly pages and the words standing still unlike moving on a screen. When they turned back to the pages read before, there were the same words on it when they read it the first time. All these things were strange for Margie.

Question 11: Why did Margie’s mother send for the County Inspector? What did he do?

Answer: Margie was not performing well in her geography tests. The County Inspector took the teacher apart and put it together again as its geography sector was geared a little too quick.

Long Answer Type Questions

Question 1: In spite of all comforts and luxuries in today’s world, our grandparents still cherish their own time when life was quite tough. Give your own views regarding this in 80-100 words.

Answer: Our grandparents lived during the years of 1950s to 1970s. At that time life was very simple yet tough. They had time to explore the surroundings and the world. They had parks to play with less of pollution around them. Mechanical gadgets were there but were used only for necessary activities. There were rivers where they could go for picnics and treks without the fear of being getting any allergy. The school was more of a fun place where they met their friends. They studied but were not competing against each other. For them togetherness was important rather than competition.

In today’s world we are competiting against our friends. We have all the facilities of life but we do not have time for our family and friends. We like to play but on computers and play station rather than with our sibilings and friends.

Question 2: How was Margie’s school different from the schools that existed hundreds of years ago?

Answer: Margie’s school was at home. She had a mechanical teacher, telebooks, no other students were there in the class and work was fed in by the mechanical teacher by punch codes. Whereas, the old schools had proper buildings, many students, human teachers who gave homework and asked questions. Everyone learned the same things and books were of paper. So, it is clearly visible that Margie’s school was totally different from the schools that existed hundreds of years ago.

Question 3: How is Margie’s school different from a normal school?

Answer: Margie’s school had a room installed with a computer from which she used to learn the lessons. There were no teachers to teach die students. No homework was given to the students. The computers gave them tests and the results were given instantly. There was no one to do the corrections or solve their problems. There were no classmates even. So, Margie’s school was very different from a normal school.

Value Based Question

Question 1:‘Machines can’t replace human beings.’ Explain this in 80-100 words with reference to the Lesson ‘The Fun They Had’.
OR
In context of the lesson ‘The Fun They Had’ do you think mechanical teachers or computer instructors cannot replace humans as teachers.

Answer: A teacher not only has to teach and explain things but also has to understand the mindset of the students. A computer instructor will only be able to deliver the lesson but will not be able to understand the problems of the students. A teacher (human) emotionally connects to the students to make the child comfortable, but this is not the case with a mechanical teacher. Teaching can be best done by a person because then only will they be able to pass on the correct values and lessons to the students.

Read the passage given below and answer the questions that follow.

Question 1: “Today Tommy found a real book!”
It was a very old book. Margie’s grandfather once said that when he was a little boy his grandfather told him that there was a time when all stories were printed on paper.

  1. The old book was found by ………….
  2. Margie was surprised to see the book because ……….
  3. Pick out a word from the following which means ‘small’:
    (a) old
    (b) once
    (c) little
    (d) very

Answer:

  1. Tommy
  2. all the stories were printed on paper
  3. Little

Question 2: It was a very old book. Margie’s grandfather once said that when he was a little boy his grandfather told him that there was a time when all stories were printed on paper. They turned the pages, which were yellow and crinkly, and it was awfully funny to read words that stood still instead of moving the way they were supposed to-on a screen.

  1. Why the pages of the book were yellow?
  2. Did Margie see the book for the first time?
  3. Trace a word from the passage that means ‘with many folds or lines’.

Answer:

  1. The pages of the book were yellow because the book was quite old.
  2. Yes, Margie saw the book for the first time.
  3. Crinkly.

Question 3: Margie went into the schoolroom. It was right next to her bedroom and the mechanical teacher was on and waiting for her. It was always on at the same time every day except Saturday and Sunday because her mother said little girls learned better if they learned at regular hours.

  1. Where was Margie’s schoolroom?
  2. Explain ‘mechanical teacher was on’.
  3. Write the opposite of ‘regular’.

Answer:

  1. Margie’s school room was next to her bedroom.
  2. Computer was on.
  3. Irregular.

Question 4: “Because it’s not our kind of school, stupid. This is the old kind of school that they had hundreds and hundreds of years ago.” He added loftily.

  1. Who is ‘he’ in the above lines?
  2. “Our kind of school.” What kind of school they have?
  3. Trace the word from the extract that means “in a superior way”.

Answer:

  1. ‘He’ in the above lines is Tommy.
  2. They have future classrooms with mechanical teachers.
  3. Loftily.

Question 5: Tommy looked at her with very superior eyes. “Because it’s not our kind of school, stupid. This is the old kind of school that they had hundreds and hundreds of years ago.” He added loftily.

  1. Why did Tommy call Margie stupid?
  2. What does ‘they’ here refer to?
  3. Find the word which means “in a superior way”.

Answer:

  1. Tommy called Margie stupid because she was too ignorant.
  2. ‘They’ here refers to the students of centuries ago.
  3. Loftily.

Question 6: Margie did so with a sigh. She was thinking about the old schools they had when her grandfather’s grandfather was a little boy. All the kids from the whole neighbourhoods came, laughing and shouting in the schoolyard, sitting together in the schoolroom going home together at the end of the day. They learned the same things, so that they could help one another with the home work and talk about it.

  1. Which school is Margie thinking about in the above lines?
  2. What is the advantage of those old schools?
  3. Which word in the passage means “breathing out deeply”?

Answer:

  1. Margie is thinking about the school of her grandfather’s grandfather when he was a little boy.
  2. The advantage of the old school was that everyone used to learn the same thing and could help each other in the homework. The children could go and come together also.
  3. Sigh
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Chapter 15 Probability notes class 9th mathematics

Probability

Probability is the study of the uncertainty. The uncertainty of any doubtful situation is measured by means of Probability.

Uses of Probability

Probability is used in many fields like Mathematics, Physical Sciences, Commerce, Biological Sciences, Medical Sciences, Weather Forecasting, etc.

Basic terms related to Probability

1. Randomness

If we are doing an experiment and we don’t know the next outcome of the experiment to occur then it is called a Random Experiment.

2. Trial

TrialA trial is that action whose result is one or more outcomes. Like –

  • Throw of a dice
  • Toss of a coi

3. Independent trial

A trial will be independent if it does not affect the outcome of any other random trial. Like throwing a dice and tossing a coin are independent trials as they do not impact each other.

4. Event

While doing an experiment, an event will be the collection of some outcomes of that experiment.

Example

If we are throwing a dice then the possible outcome for even number will be three i.e. 2, 4, 6. So the event would consist of three outcomes.

Probability – An Experimental Approach

Experimental probability is the result of probability based on the actual experiments. It is also called the Empirical Probability.

In this probability, the results could be different, every time you do the same experiment. As the probability depends upon the number of trials and the number of times the required event happens.

If the total number of trials is ‘n’ then the probability of event D happening is

Probability of event D

Examples

1. If a coin is tossed 100 times out of which 49 times we get head and 51 times we get tail.

Coin is tossed 100 times a. Find the probability of getting head.

b. Find the probability of getting tail.

c. Check whether the sum of the two probabilities is equal to 1 or not.

Solution

a. Let the probability of getting head is P(H)

head

b. Let the probability of getting tail is P(T)

Tail

c. The sum of two probability is

= P(H) + P(T)

probability

Impossible Events

While doing a test if an event is not possible to occur then its probability will be zero. This is known as an Impossible Event.

Example

You cannot throw a dice with number seven on it.

Events

Sure or Certain Event

While doing a test if there is surety of an event to happen then it is said to be the sure probability. Here the probability is one.

Example: 1

It is certain to draw a blue ball from a bag contain a blue ball only.

This shows that the probability of an event could be

0 ≤ P (E) ≤ 1

Example: 2

There are 5 bags of seeds. If we select fifty seeds at random from each of 5 bags of seeds and sow them for germination. After 20 days, some of the seeds were germinated from each collection and were recorded as follows:

Bag12345
No. of seeds germinated4048423941

What is the probability of germination of

(i) more than 40 seeds in a bag?

(ii) 49 seeds in a bag?

(iii) more than 35 seeds in a bag?

Solution:

(i) The number of bags in which more than 40 seeds germinated out of 50 seeds is 3.

P (germination of more than 40 seeds in a bag) =3/5 = 0.6

(ii) The number of bags in which 49 seeds germinated = 0.

P (germination of 49 seeds in a bag) = 0/5 = 0.

(iii) The number of bags in which more than 35 seeds germinated = 5.

So, the required probability = 5/5 = 1.

Elementary Event

If there is only one possible outcome of an event to happen then it is called an Elementary Event.

Remark

If we add all the elementary events of an experiment then their sum will be 1.

The general form

P (H) + P (T) = 1

P (H) + P= 1 (whereis ‘not H’.  

P (H) – 1 = P

P (H) and Pare the complementary events.

Example

What is the probability of not hitting a six in a cricket match, if a batsman hits a boundary six times out of 30 balls he played?

Solution

Let D be the event of hitting a boundary.

D be the event of hitting a boundary.

So the probability of not hitting the boundary will be

= 0.8

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Chapter 14 Statistics notes class 9th mathematics

Statistics

Statistics is the study of collection, organization, analysis and interpretation of data.

Data

A distinct piece of information in the form of fact or figures collected or represented for any specific purpose is called Data.  In Latin, it is known as the Datum.

Collection of Data

Data are generally of two types

  • Primary Data
  • Secondary Data

Primary Data

Data collected from any firsthand experience for an explicit use or purpose is known as Primary Data

Secondary data

Data collected by any third party for a different purpose other than the user is known as Secondary Data.

Presentation of Data

After collecting data it is important to present it in a meaningful manner. There are many ways to present data.

1. Ungrouped Data

a. Raw Data– If there is no change in the data and it is in the same form as it is collected then it is said to be raw data.

Example

The marks obtained by 10 students in a Sanskrit test are

 55 36 95 73 60 42 25 78 75 62

Range- The difference between the highest and the lowest number of data is called Range.

b. Frequency Distribution– When the number of items is large then we can convert it into the tabular form which is called a Frequency Distribution Table.

Frequency is the number of times the item comes in the table.

2. Grouped Data

To present the very large number of items in a data we use grouped distribution table.

Grouped distribution table

a. Class Interval – The group used to classify the data is called the class interval i.e. 20 – 30, 30 – 40.

b. Upper Limit – In each class interval, the greatest number is the upper-class limit.

c. Lower Limit – In each class interval, the smallest number is the lower class limit.

d. Class Size – It is the difference between the upper limit and the lower limit i.e. 10.

e. Class Mark – The midpoint of each class interval is the class mark.

Class Mark

Grouped data could be of two types as below:

Inclusive or discontinuous Frequency Distribution – If the upper limit of one class is different from the lower limit next class then it is said to be an Inclusive or discontinuous Frequency Distribution.

Exclusive or continuous Frequency Distribution – If the upper limit of one class is the same as the lower limit of the next class then it is said to be exclusive or continuous Frequency Distribution

Graphical Representation of Data

As you know a picture is better than thousand words so represent data in an easier way is to represent it graphically. Some of the methods of representing the data graphically are

1. Bar Graph

It is the easiest way to represent the data in the form of rectangular bars so it is called Bar graph.

  • The thickness of each bar should be the same.
  • The space between in bar should also be same.
  • The height of the bar should be according to the numerical data to be represented.

Example

Represent the average monthly rainfall of Nepal for the first six months in the year 2014.

MonthJanFebMarAprMayJun
Average rainfall456540607530

Solution

  • On the x-axis mark the name of the months.
  • On the y-axis mark the class interval which we have chosen.
  • Then mark the average rainfall respective to the name of the month by the vertical bars.
  • The bars could be of any width but should be same.
  • This is the required bar graph.
Bar Graph

2. Histogram

It is like the Bar graph only but it is used in case of a continuous class interval.

  • The class intervals are to be taken along an x-axis.
  • The height represents the frequencies of the respective class intervals.

Example

Draw the histogram of the following frequency distribution.

Daily earnings (in Rs)700 – 750750 – 800800 – 850850 – 900900 – 950950 – 1000
No. of stores6927115

Solution

  • Mark the daily earnings on the x-axis.
  • Mark the no. of stores on the y-axis.
  • As the scale is starting from 700 so we will mark the zigzag to show the break.
  • Mark the daily earnings through the vertical bars.
Histogram

3. Frequency Polygon

To draw the frequency polygon

  • First, we need to draw a histogram
  • Then join the midpoint of the top of the bars a line segment and the figure so obtained is required frequency polygon.
  • The midpoint of the first bar is to be joined with the midpoint of the imaginary interval of the x-axis
  • The midpoint of the last bar is to be joined with the midpoint of the next interval of the x-axis. 
Polygon

If we need to draw the frequency polygon without drawing the histogram then first we need to calculate the class mark of each interval and these points will make the frequency polygon.

Example

Draw the frequency polygon of a city in which the following weekly observations were made in a study on the cost of living index without histogram.

weekly observations

Step 1: First of all we need to calculate the class mark of each class interval.

Step 2: Take the suitable scale and represent the class marks on the x-axis.

Step 3: Take the suitable scale and represent the frequency distribution on the y-axis.

Step 4: To complete the frequency polygon we will join it with the x-axis before the first class and after the last interval.

Step 5: Now plot the respective points and join to make the frequency polygon.

Polygon

Measures of Central Tendency

To make all the study of data useful, we need to use measures of central tendencies. Some of the tendencies are

1. Mean

The mean is the average of the number of observations. It is calculated by dividing the sum of the values of the observations by the total number of observations.

It is represented by x bar or.

The meanof n values x1, x2, x3, …… xis given by

Mean

Mean of Grouped Data (Without Class Interval)

If the data is organized in such a way that the frequency is given but there is no class interval then we can calculate the mean by

Mean of Grouped Data

where, x1, x2, x3,…… xn are the observations

f1, f2, f3, …… fn are the respective frequencies of the given observations.

Example

Grouped population mean

Here, x1, x2, x3, x4, and x5 are 20, 40, 60, 80,100 respectively.

and f1 , f2 , f3 , f4, f5 are 40, 60, 30, 50, 20 respectively.

means

2. Median

The median is the middle value of the given number of the observation which divides into exactly two parts.

For median of ungrouped data, we arrange it in ascending order and then calculated as follows

Median
  • If the number of the observations is odd then the median will beAs in the above figure the no. of observations is 7 i.e. odd, so the median will beterm.

= 4th term.

The fourth term is 44.

  • If the number of observations is even then the median is the average of n/2 and (n/2) +1 term.

Example

Find the median of the following data.

data

1. First, we need to arrange it in ascending order.

4, 6, 7,8,10,12,12,13

2. The no. of observation is 8. As the no. of observation is even the median is the average of n/2 and (n/2)+1.

3.

4.  4th term is 8 and the 5th term is 10.

5. So the median

3. Mode

The mode is the value of the observation which shows the number that occurs frequently in data i.e. the number of observations which has the maximum frequency is known as the Mode.

Example

Find the Mode of the following data:

15, 20, 22, 25, 30, 20,15, 20,12, 20

Solution

Here the number 20 appears the maximum number of times so

Mode = 20.

Remark: The empirical relation between the three measures of central tendency is

3 Median = Mode + 2 Mean

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Chapter 10 Circles notes class 9th mathematics

Introduction to Circles

There are lot many objects in our life which are round in shape. Few examples are the clock, dart board, cartwheel, ring, Vehicle wheel, Coins, etc.

Circles

Circles

  • Any closed shape with all points connected at equidistance from centre forms a Circle.
  • Any point which is at equidistance from anywhere from its boundary is known as the Centre of the Circle.
  • Radius is a Latin word which means ‘ray’ but in the circle it is the line segment from the centre of the Circle to its edge. So any line starting or ending at the centre of the circle and joining anywhere on the border on the circle is known as the Radius of Circle.
Circles

Interior and Exterior of a Circle

In a flat surface, the interior of a circle is the line whose distance from the centre is less than the radius. 

The exterior of a circle is the line in the plane whose distance from the centre is larger than the radius.

Interior and Exterior of a Circle

Terms related to circle

  • Chord: Any straight line segment that’s both endpoints falls on the boundary of the circle is known as Chord. In Latin, it means ‘bowstring’.
  • Diameter: Any straight line segment or Chord which passes through the centre of the Circle and its endpoints connects on the boundary of the Circle is known as the Diameter of Circle. So in a circle Diameter is the longest chord possible in a circle.
  • Arc: Any smooth curve joining two points is known as Arc. So in Circle, we can have two possible Arcs, the bigger one is known as Major Arc and the smaller one is known as Minor Arc.
  • Circumference: It is the length of the circle if we open and straightened out to make a line segment.
Arc

Segment and Sector of the Circle

A segment of the circle is the region between either of its arcs and a chord. It could be a major or minor segment.

Sector of the circle is the area covered by an arc and two radii joining the centre of the circle. It could be the major or minor sector.

Segment and Sector of the Circle

Angle Subtended by a Chord at a Point

If in a circle AB is the chord and is making ∠ACB at any point of the circle then this is the angle subtended by the chord AB at a point C.

Angle Subtended by a Chord at a Point

 Likewise, ∠AOB is the angle subtended by chord AB at point O i.e. at the centre and ∠ADB is also the angle subtended by AB at point D on the circle.

Theorem 1: Any two equal chords of a circle subtend equal angles at the centre.

Any two equal chords of a circle subtend equal angles at the centre

Here in the circle, the two chords are given and PQ = RS with centre O.

So OP = OS = OQ = OR (all are radii of the circle)

∆POQ ≅ ∆SOR

∠POQ = ∠SOR  

This shows that the angles subtended by equal chords to the centre are also equal.

Theorem 2If the angles made by the chords of a circle at the centre are equal, then the chords must be equal.

This theorem is the reverse of the above Theorem 1.

Perpendicular from the Centre to a Chord

Theorem 3: If we draw a perpendicular from the centre of a circle to any chord then it bisects the chord.

A perpendicular from the centre of a circle to any chord then it bisects the chord.

If we draw a perpendicular from the centre to the chord of the circle then it will bisect the chord. And the bisector will make 90° angle to the chord.

Theorem 4: The line which is drawn from the centre of a circle to bisect a chord must be perpendicular to the chord.

If we draw a line OB from the centre of the circle O to the midpoint of the chord AC i.e. B, then OB is the perpendicular to the chord AB.

The centre of a circle to bisect a chord must be perpendicular to the chord.If we join OA and OC, then

In ∆OBA and ∆OBC,

AB = BC (B is the midpoint of AC)

OA = OC (Both are the radii of the same circle)

OB = OB (same side)

Hence, ΔOBA ≅ ΔOBC (both are congruent by SSS congruence rule)

⇒ ∠OBA = ∠OBC (respective angles of congruent triangles)

∠OBA + ∠OBC = ∠ABC = 180° [Linear pair]

∠OBC + ∠OBC = 180° [Since ∠OBA = ∠OBC]

2 x ∠OBC = 180°

∠OBC = 90o

∠OBC = ∠OBA = 90°

∴ OB ⊥ AC

Circle through Three Points

Theorem 5: There is one and only one circle passing through three given non-collinear points.

 one and only one circle passing through three given non-collinear points.

In this figure, we have three non-collinear points A, B and C. Let us join AB and BC and then make the perpendicular bisector of both so that RS and PQ the perpendicular bisector of AB and BC respectively meet each other at Point O.

Now take the O as centre and OA as the radius draw the circle which passes through the three points A, B and C.

This circle is known as Circumcircle. Its centre and radius are known as the Circumcenter and Circumradius.

Equal Chords and Their Distances from the Centre

Theorem 6: Two equal chords of a circle are at equal distance from the centre.

Two equal chords of a circle are at equal distance from the centre.

AB and CD are the two equal chords in the circle. If we draw the perpendicular bisector of these chords then the line segment from the centre to the chord is the distance of the chord from the centre.

If the chords are of equal size then their distance from the centre will also be equal.

Theorem 7: Chords at equal distance from the centre of a circle are also equal in length. This is the reverse of the above theorem which says that if the distance between the centre and the chords are equal then they must be of equal length.

Angle Subtended by an Arc of a Circle

The angle made by two different equal arcs to the centre of the circle will also be equal.

Angle Subtended by an Arc of a Circle

There are two arcs in the circle AB and CD which are equal in length.

So ∠AOB = ∠COD.

Theorem 8: The angle subtended by an arc at the centre is twice the angle subtended by the same arc at some other point on the remaining part of the circle.

 The angle subtended by an arc at the centre is twice the angle subtended by the same arc

In the above figure ∠POQ = 2∠PRQ.

Theorem 9: Angles from a common chord which are on the same segment of a circle are always equal.

Angles from a common chord which are on the same segment of a circle are always equal.

If there are two angles subtended from a chord to any point on the circle which are on the same segment of the circle then they will be equal.

∠a = (1/2) ∠c (By theorem 8)

∠b = (1/2) ∠c

∠a = ∠b

Cyclic Quadrilaterals

If all the vertex of the quadrilateral comes on a circle then it is said to be a cyclic quadrilateral.

Cyclic Quadrilaterals

Theorem 10: Any pair of opposite angles of a cyclic quadrilateral has the sum of 180º.

∠A + ∠B + ∠C + ∠D = 360º (angle sum property of a quadrilateral)

∠A + ∠C = 180°

∠B + ∠D = 180º

Theorem 11: If the pair of opposite angles of a quadrilateral has sum of 180º, then the quadrilateral will be cyclic.

This is the reverse of the above theorem.

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Chapter 9 Areas of Parallelograms and Triangles notes class 9th mathematics

Area of a Closed Shape

The part of any plane which is enclosed with the closed figure is known as the Planar Region. And the measure of this region is called the Area of that figure. This is expressed in the form of numbers using any unit.

Closed Shape

Properties of the Area of a figure

  • If the shape and size of the two figures are the same then these are said to be congruent. And if the two figures are congruent then their area will also be the same. If ∆ABC and ∆DEF are two congruent figures then ar (∆ABC) = ar (∆DEF).
Congruent triangle
  • But if the two figures have the same area they need not be congruent.
Rectangle and Square
  • If the two non-overlapping plane regions form a new planner region. Let Area of the square be ar(S) and Area of Triangle be ar (T). So Area of the new figure is Ar (P) = ar(S) + ar (T) 
Square and Triangle

Figures on the Same Base and Between the Same Parallels

If the two figures have the same base and the vertices opposite to the base is also on the line parallel to the base then the two figures are said to be on the same base and between the same parallels.

Same Base and Between the Same Parallels

∆ABC and ∆BDC have the same base and the opposite vertex is on the parallel line.

Parallelograms on the same Base and between the same Parallels

If the two parallelograms have the same base and are between the same parallel lines then these two parallelograms must have equal area.

Parallelograms on the same Base and between the same Parallels

Here, ABCD and ABGH are the two parallelograms having common base i.e. AB and between the two parallel lines i.e. AB and HC.

ar (ABCD) = ar (ABGH)

Remark: The parallelograms having the same base and equal area than these two parallelograms must lie between the same parallels.

Area of Parallelogram

Area of parallelogram = base × height

Parallelogram

Height is the perpendicular on the base.

If the Area is given and one of the height or base is missing then we can find it as

Remark: The formula of area of the parallelogram is base × height that’s why the two parallelograms having the same base and between the same parallel lines have equal area.

Example:

Calculate the Area of the parallelogram if the base is 15 ft and the height is 3 ft.

Parallelogram

Solution:

Given b = 15 ft

h = 3 ft

Area of parallelogram = b × h

= 15 × 3

= 45 ft2

Triangles on the same Base and between the same Parallels

If the two triangles are on the same base and their opposite vertex is on the parallel line then their area must be equal.

Triangles on the same Base and between the same Parallels

Here, ABC and DBC are the two triangles having common base i.e. BC and between the two parallel lines i.e. XY and BC.

ar (ABC) = ar (DBC)

Remark: If the triangles have the same base and equal area then these two triangles must lie between the same parallels.

Area of Triangle

Triangle

Median of a Triangle

The line segment from any vertex of the triangle to the midpoint of the opposite side is the Median.

There are three medians of a triangle and the intersection of all the three medians is known as the Centroid.

The median divides the triangle into two equal parts.

Median of a Triangle

In ∆ABC AE, CD and BF are the three medians and the centroid is the point O.

AE divides the triangle into two equal parts i.e. ∆ACE and ∆AEB,

CD divides the triangle into two equal parts i.e. ∆CBD and ∆CDA

BF divides the triangle into two equal parts i.e. ∆BFA and ∆BFC.

A Parallelogram and a Triangle on the same base and also between same parallel

If a triangle is on the base which is same with a parallelogram and between the same parallel line then the area of the triangle is half of the area of the parallelogram.

A Parallelogram and a Triangle on the same base and also between same parallel

Here ∆ ABC and parallelogram ABCE are on the same base and between same parallel lines i.e. XY and BC so 

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