DOON PUBLIC SCHOOL, PASCHIM VIHAR

SUMMER VACATION HOLIDAY’S HOMEWORK

CLASS-9

MATHEMATICS

Ch1,2 NUMBER SYSTEM AND POLYNOMIALS

1. If x + y = 12 and xy = 32, Find the value of x2 + y2.

2.  If 3x + 2y = 12 and xy = 6, find the value of 9x2 + 4y2.

3.  Write the following cubes in the expanded form:

      (i)   (3a + 4b)3

      (ii)   (5p – 3q)3

4.  If x2 + 1/x2 = 27 ,find the values of each of the following:

      (i)   

      (ii)   

5.  If  then evaluate x2+1/x2

6.  If a + b + c = 15 and a2 + b2 + c2 = 83, find the value of a3 + b3 + c3 – 3abc.

7.  Factorize:

      (i)   6ab – b2 + 12ac – 2bc

      (ii)   9(2a – b)2 – 4(2a – b) – 13

8.  If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2, find the values of a and b.

9.  Using factor theorem, factorize each of the following polynomials:

      (i)   x3 – 6x2 + 3x + 10

      (ii)   2y3 – 5y2 – 19y + 42

10.  Which one is not a polynomial

      (a)   4x2 + 2x – 1

(b)   

(c)   x3 – 1

(d)   y2 + 5y + 1

11.  Find the number of zeros of x2 + 4x + 2.

      

12.  Find the value of k, if (x – 1) is a factor of 4x3 + 3x2 – 4x + k.

13. Every whole number is a natural number write true or false.

14.  If  find the value of x2 + y2 + xy.

15.  If  find the value of x2 - y2.

16.  Determine rational numbers p and q if       

17.  Simplify: 

18.  Simplify: 

19.  Show that: 

20.  If:  then find the value of qx2 – 2px + q.

21.  Show that: 

22.  If 2a = 3b = 6c then show that 

23. If x = 2 and x = 0 are zeroes of the polynomial 2x3- 5x2+ px + b, then find the value of p and b.

24. Simplify and factorise (a + b + c)2 - (a - b - c) 2+ 4b2 - 4c2.

25. If a + b + c=6 and ab + bc + ca = 11, find the value of a3 + b 3 + c 3 - 3abc.

26. The polynomial bx 3 + 3x 2 - 3 and 2x 3 - 5x + b when divided by x - 4 leave the

remainders R1 and R2 respectively. Find the value of b if 2R1 - R2 = 0.

27. If f(x)= x4-4x3+3x2-2x+1, then find whether f(0)X f(-1)=f(2).

28. Prove that: (x+y)3 + (y+z)3 + (z+x)3 – 3(x+y)(y+z)(z+x).

29. Verify if ½ and -3/2 are zeroes of the polynomial 8x3-4x2-18x+9. If yes, then factorise the polynomial.

30. Using long division method, show that the polynomial p(x)= x3+1 is divisible by q(x)=x+1. Verify your result using factor theorem.

Ch-3 Coordinate geometry

CH-4 LINEAR EQUATIONS IN TWO VARIABLES

CLASS 9

HOLIDAYS HOMEWORK

MATTER IN OUR SURROUNDINGS

1. Give one word for the following

a. The force of attraction between the particles

b. The rigid form of matter

c. A solid which can be compressed easily

d. The tendency to flow and change shape

e. Mixing of substances on their own

2. Give the full form of CNG and LPG. What is common between the two? Give explanation for the same.

3. Draw a diagram to show the arrangement of particles in a solid, a liquid and a gas.

What can be interpreted from the distance between the constituent particles?

4. Draw a flow diagram showing the Interconversion of states of matter. Label the diagram properly.

5. Which characteristic of matter is exhibited by these phenomenons?

Brownian motion and diffusion

6. Give reason

a. Particles of potassium permanganate spread easily in water kept at room

temperaturebut not in very cold water.

b. It is difficult to cut the stream of water.

c. Fragrance of perfume spreads very fast.

d. A gas fills the vessel in which it ice kept.

7. What is the physical state of water at 25°C and 0°C?

8. What are the two main ways of changing the physical states of matter?

9. Why does the temperature not change when ice melts to form water?

10. What is meant by the following statement-?

The latent heat of fusion of ice is 3.34 ×105 J/Kg.

PHYSICS ASSIGNMENT

CHAPTER – MOTION

1) Under what conditions is the magnitude of average velocity of an object equal to its average speed?

2) What can you say about motion of an object whose distance time graph is a straight line parallel to the time axis?

3) What is the quantity which is measured by the area occupied below velocity-time graph?

4) Draw a velocity –time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height.

5) What is the numerical ratio of average velocity to average speed of an object when it is moving along a straight path?

6) What can you say about motion of an object if its speed-time graph is a straight line parallel to the time axis?

7) Kiara hired a taxi and noted the initial reading of its odometer as 24803 km. After the journey, she noted the final reading of the odometer as 25118 km. If the journey took 4 hours 40 minutes, calculate the average speed of the taxi during the entire journey.

8) A marble rolling on a smooth floor has an initial velocity of 0.4m/s. If the floor offers a retardation of .02m/s2, calculate the time it will take to come to rest.

9) At a certain instant, an auto driver is driving at a speed of 30 km/h. Then he uniformly accelerates the auto after 2.5 minutes, the speed of auto becomes 60 km/h. What is the average speed of the auto? What is the value of uniform acceleration during the given interval of time?

10) A train 100m long is to cross a river of bridge of length 800m.What time will it take to cross the bridge? The train moves with a constant velocity of 36km/h.

11) Laser signal sent from the earth takes a time of 1.28 seconds to reach the moon. If the speed of laser signal be 3x 108 m/s, calculate the distance of the moon from the earth.

12) An athlete is running along a straight path with a constant velocity of 10m/s. Draw a velocity- time graph for athlete’s motion. How much distance does he cover in 20 seconds?

13) Consider a car being driven along a straight road. The velocity of the car in m/s at different instants of time is shown in the following table.

Time(s)

0

10

20

30

40

50

Velocity(m/s)

0

5

10

15

20

25

Draw velocity –time graph for motion of the car. Obtain the value of acceleration of the car from the graph.

14) A metro train starts from a station and under uniform acceleration; it acquires a velocity of 72 km/h in 10 s. Calculate its acceleration and distance covered during this time.

15) A car is running at a rate of 54 km/h. suddenly, the driver applies brakes and stops the car within a distance of 7.5m. What is the acceleration produced by the brakes?

SUMMER HOLIDAYS HOMEWORK

SUBJECT – BIOLOGY

Q1: What for ATP stands for? Which organelle is the power plant of eukaryotic cell. Write in brief its function

Q2: Differentiate between diffusion and osmosis.

Q3: Why lysosomes are known as suicidal bags?

Q4: How do substances like CO2 and H2O move in and out of the cell?

Q5: Why is plasma membrane known as selectively permeable membrane?

Q6: What do you understand by semi autonomous bodies? Give examples also

Q7: Put a drop of blood in three type of liquids:

a. Pure water

b. Salt solution

c. Water containing 5M glucose and 0.9% Nacl

What will happen to the blood drop and why? Explain your answer

Q8: Why is endocytosis found in animals only?

Q9: If you are provided with some vegetables to cook, you generally add salt into vegetables during cooking process. After adding salt, vegetables release water. What mechanisms is responsible for this?

Q10: How are chromatin and chromosomes are related to each other?

Q11: Define membrane biogenesis. Where do lipids and proteins constituting the plasma membrane gets synthesized?

Q12: What are genes? Where are they located in the cell?

Q13: A drop of ink is placed gently at the base of a beaker containing water by means of a dropper. What will happen?

Q14: Why do dry apricot placed in salt solution do not swell while they do so when kept in water?

Holidays Homework Class 9 ( 2019-20)

ENGLISH

Q1. Read the passage given below and answer the questions that follow.

The culture of nuclear families is in fashion. Parents are often heard complaining about the difficulties in bringing up children these days. Too much of freedom in demand, too much independence; over night parties; excessive extravagance, splurging pocket money; no time for studies and family all this is a common cry of such families. Aren’t parents, themselves, responsible for this pitiful state ? The basic need of a growing youth is the family, love, attention and bonding along with moral values. One should not forget that ‘charity begins at home’.

Independence and individuality both need to be respected, in order to maintain the sanctity of family. Children, today are to be handled with tact in order to bridge the ever widening generation gap. Only the reasonable demands need to be fulfilled, as there are too many expenses to be met and top many social obligations to be taken care of by the parents. Our forefathers lived happily in joint families. Children loved to live with their cousins, learnt to adjust within means. There was perfect harmony between the generations. There never existed the concept of old-age homes. There was deep respect for the family elders and love, care and concern for the youngsters. Even the minor family differences were solved amicably.

a) Mention any two major common concerns of a nuclear family. (1 x 5 = 5 Marks)

b) Who, according to the passage, are responsible for them ?

c) Explain the expression ‘charity begins at home’.

d) Describe the atmosphere in joint families.

e) Which word in the passage means ‘Holiness of life’ ?

Q2. You make the following notes after reading about the disappearance of bird habitats from city forests and parks. Write an article in 100-120 words stressing upon the need for bringing back the birds to the city. You are Sonu/Sonalika.

Q3. Read the chapters done in the class and write the character sketches of the following :

a) Bismillah Khan

b) Evelyn Glennie

c) Margie

d) Toto

Q4. Make a ppt on any lesson of your choice which will be presented in the class after holidays.The lesson can be a grammar topic, writing skill or literature. This activity will be marked. (Example : Tenses, Verbs, article writing, story writing)

Le devoir de vacances d’été

Sujet : Français

Classe IX

I. Complètes avec les articles convenables

1. Martine a fait trop ______________ efforts pour réussir.

2. Appuyez sur ______________ sonnette.

3. Le singe ne reste qu’ ______________ banane.

4. Les leçons______________ livre Panorama sont difficiles.

5. _____________ Dupont se souhaitent « Bonne année ».

6. ______________ président de France donne le discours ______________ Champs – Élysées .

7. Choisissons ______________ bonne musique pour la fête.

8. Désirez-vous apprendre ______________ français ?

9. Savez-vous d’où je peux acheter ______________ chaussures ?

10. Véronique emprunte les livres ______________ bibliothèque.

11. ______________ jour de mon anniversaire mon père m’a acheté un portable.

12. Je n’aime pas ______________ viande trop cuite.

13. On peut trouver ______________ bonne place dans le compartiment de troisième.

14. La train pour Mumbai part ______________matin.

15. L’eau______________ piscine est profonde.

16. Je veux vous offrir ______________ poulet.

17. Cette table est couverte de ______________ nappe blanche.

18. Ma mère ajoute ______________ huile sur la salade.

19. Les draps ______________ lit sont sales.

20. Dans le terrain de sport , les jeunes jouent ______________ football.

21. Pour le concours le petit enfant joue ______________ guitare.

22. J’aimerais importer ______________ laine.

23. Il y a rarement ______________ soleil en hiver.

24. ______________ Gange est le fleuve sucré.

25. Il conduit son ami ______________ hôpital.

II. Complétez avec les prépositions convenables

1. Les étudiants sont debout l’un ______________ l’autre.

2. Ce livre est publié ______________ Saraswati.

3. ______________ tous ces romans, lequel préfères – tu ?

4. Pendant les vacances, je suis allé ______________ Pays-Bas.

5. Son fils était ______________ elle quand elle est morte.

6. Le rideau est ______________ étoffe.

7. ______________ moi, il va gagner le premier prix.

8. Je passe l’été ______________ la mer.

9. Nous habitons ______________ banlieue.

10. Il faut retourner ______________ 30 juin.

11. Claudine est passé ______________ moi ______________ me regarder.

12. Le directeur de l’école voudrait du café ______________ le sucre.

13. La femme de chambre m’a mené ______________ ma chambre.

14. Le lac était couvert ______________ la neige.

15. Pour aller chez ma tante, je me suis tourné ______________ la gauche.

16. La machine à écrire sert ______________ taper les lettres.

17. Avant de sortir, elle boit une tasse ______________ thé.

18. La terre tourne ______________ du soleil.

19. Au restaurant, j’ai payé mon addition ______________ la carte de crédit.

20. Yves a construit sa villa ______________ l’église.

21. La bonne a vidé la bouteille ______________ l’évier.

22. Cette maison nous appartient ______________ 1982.

23. Ma boulangerie se trouve ______________ du restaurant.

24. Cette chemise est gratuite ______________ ce pantalon.

Il y a un pont « Alma Marceau » ______________ la rivière Seine

Holiday Homework 2019-20

CLASS : IX

SUBJECT : Social Science

Project Work – DISASTER MANAGEMENT

Activity-Individual Activity

Learning Objectives-

1.To enable the learner to appreciate the importance of Disaster Management.

2.To increase the knowledge and understanding of the disaster phenomenon, its different contextual aspects, impacts and public health consequences.3. To ensure skills and abilities to analyse potential effects of disasters and of the strategies and methods to deliver public health response to avert these effects.

“ We cannot stop natural disasters but we can arm ourselves with knowledge: so many lives wouldn't have to be lost if there was enough disaster preparedness.” - Petra Nemcova

A.Keeping the above statement in mind, prepare a project on Disaster Management in separate file in 10-12 pages as per the following guidelines:

1. Highlight the following:

- Definition of ‘Disaster’.

- What is a disaster management cycle?

- What are the types of Disasters?

- What is vulnerability and risk?

- What is a Hazard?

-How is it classified?

- Differentiate between hazard and disaster.

- Contrast and compare chemical and biological hazard.

- Significance of Mitigation.

2A.Prevention and Mitigation of Common Disasters in India. Select the following disasters according to your Class Roll numbers:

1. Earthquake and Landslides(ROLL NO. 1-15)

2. Floods and Droughts(ROLL NO. 16-30)

3. Any two manmade disasters (ROLL NO. 31 onwards)

2B. Based on your selection in Point 2A above, enumerate the following key points in your project:

- Meaning

- Causes

- Do’s and don’ts

- Prevention and mitigation measures

- Your emergency Kit

- Latest means of forecasting Disasters

- Prepare a case study on any one of the Disasters

· Criteria / Rubrics for assessment

a. Understanding about the topic - 1 Mark

b. Use of slogan, quotes, pictures – 1 Mark

c. Presentation – 1 Mark

d. Creativity/out of the box thinking - 2Marks

TOTAL MARKS – 5

B. Read the chapters taught carefully of all four subjects and do the Assignment questions in your respective subject notebook.

ASSIGNMENT

GEOGRAPHY

1. In Asia, what is the strategic significance of India?

2. India has had strong geographical and historical links with her neighbors. Comment.

3. Why is Indian Ocean named after India? Enumerate any three reasons.

4. How has India benefitted from the opening of Suez Canal?

5. Mention the time lag between Gujrat and Arunachal Pradesh. How is uniform time set for all places in India?

ECONOMICS

1. Enlist the merits and demerits of Green Revolution in India.

2. What are the different ways of increasing production on a same piece of land? Explain.

3. Modern farming methods require inputs which are manufactured in industry. Do you agree?

4. Distinguish between physical and human capital.

5. Briefly explain about the non-farming activities of the village Palampur.

दून पब्लिक स्कूल , नई दिल्ली

ग्रीष्मावकाश गृहकार्य (2019-2020)

कक्षा - 9

प्रश्न 1) 'दुःख का अधिकार' पाठ का मूल भाव स्पष्ट करें।

प्रश्न 2) 'बचेंद्री पाल' संबंधी जानकारी हासिल कर उनका जीवन परिचय लिखिए।

प्रश्न 3) 'बचेंद्री पाल' की एवरेस्ट की यात्रा का वर्णन विस्तारपूर्वक स्पष्ट करें।

प्रश्न 4) 'रैदास के पद' पाठ का प्रतिपाद्य स्पष्ट कीजिए ।

प्रश्न 5) रैदास ने अपने पद में भगवान के किन-किन रूपों को दर्शाया है।

प्रश्न 6) रैदास के दोनों पदों की सप्रसंग व्याख्या करें।

प्रश्न 7) रैदास की भाषा शैली पर प्रकाश डालिए।

प्रश्न 8) रैदास के दोनों पद सस्वर गायन हेतु कंठस्थ करें।

प्रश्न 9) अनुस्वार, अनुनासिक एवं नुक़्ता के 10-10 उदहारण लिखिए।

प्रश्न 10) वर्ण-विच्छेद करें :-

- आविष्कार,सच्चाई,अनुनासिक, श्रमिक, क्षत्रिय, शिक्षाशास्त्री, ज्ञानाक्षर, पर्वतारोही, वैज्ञानिक,समुद्र, कर्मभूमि, वृक्ष, प्रतिकूल, निर्मूल्य, भ्रमण, दृष्टि, पृथ्वी, विरुद्ध, नर्तकी, आकांक्षा

प्रश्न 11) विज्ञापन बनाइए :-

क) अपने 'मनपसंद पेय पदार्थ' पर विज्ञापन बनाइए।

ख) 'जल संरक्षण' हेतु एक आकर्षित विज्ञापन तैयार करें।

प्रश्न 12) 'राष्ट्रीय एकता' विषय पर 80-100 शब्दों में अनुच्छेद लिखिए।

प्रश्न 13) निम्नलिखित प्रेमचंद की कहानियों में से किन्हीं 5 कहानियों को पढ़कर उनमें निहित भावार्थ को अपने शब्दों में लिखिए:

1) कफ़न (2) ईदगाह (3) बड़े घर की बेटी (4)पूस की रात (5) बूढ़ी काकी

(6) पंच परमेश्वर (7) नमक का दरोगा

प्रश्न 14) कोई एक स्वरचित कविता या कहानी A-4 शीट पर लिखें।

नोट : प्रश्न 1 से 12 कक्षा कार्य पुस्तिका में करें व प्रश्न 13 एवं 14 A-4 शीट पर करें।