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VISHWA BHARATI PUBLIC SCHOOL , NOIDA HOLIDAY HOME-WORK TERM I 2015 – 16 CLASS IX ENGLISH List out the different ways in which you can contribute to save mother earth. 1. ‘SAVE MOTHER EARTH CAMPAIGN’ _ TOPIC 2. Choose and research any aspect of how we are leaving carbon foot prints & how to modify our lifestyles. 3. PROJECT TIGER – SAVE THE TIGER. NOTE : Do all the above activities with reference to unit -3 (MCB) on ruled file sheets. FRENCH 1. Make a project on any of the following topicsa. Les villes trés connus de France b. Festival de Cannes/ Fête de la Musique 2. Revise chapter 0-5 and grammar topics covered in class. MATHS Number System Q1. 329 in decimal form and say what kind of decimal expansion it has. 400 Write one rational and one irrational number between 2 and 3 . Q2. State which of the following are irrational numbers and which are not: Q1. Write Q3. 4 53 16 5 16 3 32 33 9 2 3 (c) (d) 3 4 Find two rational and two irrational numbers between & . 5 5 (a) 3 (b) Q4. Represent 5.3 on number line. Q5. Express 2.375 and 0.824 in Q6. Rationalise the denominator and simplify the following: 4 2 3 p form. q 3 2 4 3 6 3 6 6 2 2 3 Q7. Simplify the following: 25 2 243 5 5 4 16 4 8 3 3 (a) Q8. 3 (b) (b) 64 2 64 2 4 Rationalise the denominator of the following: (a) 30 5 3 3 5 POLYNOMIALS Q1. 3 81 16 Which of the following expressions are polynomials: (a) 1 x 1x 2 x x 2 x 1 x 1 (b) 1 x 25 3 2 5 3 2 9 Q2. Write the coefficient of x2 in each case: (a) 6 – 2x2 + 3x3 + x4 3x 4 (b) Q3. Which of the following are monomials, binomials or trinomials: (a) x5 + 6x4 (b) x3 + 2x + x + 3 Q4. Find zeroes of the polynomial p(x) = x2 – 5x + 6 Q5. Use factor theorem to determine whether x + Q6. Factorize: ax2 + bx2 + ay2 + by2. Q7. Factorize: x(x – y)3 + 3xy( x – y) Q8. Factorize: abc2 + abd2 + cda2 + cdb2 Q9. Factorize: 16a2 – 40ab + 25b2 Q10. Factorize: 4a2 + 9b2 + c2 + 12ab + 4ac + 6bc Q11. Factorize: 81x4 – y4 Q12. Factorize: x2 – 21x + 90 Q13. Factorize: 2x2 + 11x – 21 Q14. Evaluate: 0.96 0.96 0.96 0.04 0.04 0.04 0.96 0.96 0.96 0.04 0.04 0.04 Q15. Factorize: 27a3 – b3 – 1 – 9ab Q16. Factorize: x3 + 13x2 + 31x – 45 by factor theorem. Q17. Factorize: y3 – 2y2 – 29y – 42. Q18. Find the degree of each of the following polynomials: (a) x3 x 4 x6 x2 (c) Q19. 2 is a factor of 2 2 x 2 5x 2 . (b) x3(x4 + 1) (b) 104 x 96 1 – 2x + x6 Evaluate using identity: (a) 103 x 107 Q20. Check whether indicated numbers are zeroes of the given polynomial or not: (a) Q21. p(x) = 3x2 – 1 ; x = 1 2 , 3 3 (b) p(x) = lx + m; x = m l If the polynomials px3 + 4x2 + 3x – 4 and x3 – 4x + p are divided by x – 3 then the remainder in each case is the same. Find the value of p. Let R1 and R2 are the remainders when the polynomials f(x) = 4x3 + 3x2 – 12ax – 5 and g(x) = 2x3 + ax2 – 6x + 2 are divided by x – 1 and x + 2 respectively. If 3 R1 + R2 + 28 = 0. Find the value of ‘a’. CHEMISTRY : To be done on sheets and submitted in a separate folder Q.1 Perform the given activity and answer the following questions: Take some ice cubes in a 100 ml.beaker.Put a thermometer into ice and note the temperature. Allow the ice to melt.Note down the temperature of the ice again.Repeat the experiment after some time. a) What do you observe in this activity ? b) Explain your observation with reason. c) Explain the term “ Latent heat of fusion”. Q.2 Answer the following with reasons: a) Why Solids expand on heating? b) Explain why a gas can be compressed into a smaller volume but not a liquid. c) Why drops of rain dry up in the sunshine? d) A windy day is a good day for drying. e) When you take a block of butter out of the fridge, it is quite hard. However, after some time it is soft enough to spread . f) In a beam of sunlight entering a room, we can sometimes see dust particles moving in a haphazard way in the air. Why do these dust particles move? g) When a crystal of copper sulphate is placed at the bottom of a beaker containing water ,the water slowly turns blue.Why? h) Steam causes more severe burns than boiling water? i) Ice at 0 degree is more effective in cooling than water at the same temperature. j) Solid carbon dioxide is called dry ice? PHYSICS Do the following assignment in separate file sheets Q1 A girl walks along a straight path to drop a letter in the letter box and comes back to her initial position. Plot (a) displacement-time graph (b) velocity –time graph Q2 Under what conditions can a body travel a certain distance and yet its resultant displacement is zero? Explain with an example. Q3 An object is dropped from rest at a height of 150m and simultaneously another object is dropped from rest at a height of 100m.What is the difference in their heights after 2s if both the objects drop with same accelerations? How does the difference in heights vary with time. Q4. A passenger lift starts from rest accelerates uniformly and attains speed of 4.6 m/s in 2 seconds. This speed is maintained for next 6 seconds. Then the lift undergoes uniform retardation and stops in the next 2 seconds. Draw velocity time graph of the lift and calculate the total distance covered by the lift in 12 seconds. Q5 Under what circumstances does the following hold for a body. a) u = 0 b) v = 0 c) a= 0 Q6. Brakes applied to a car produce a uniform retardation of 0.9 m/s2 . If the car was travelling with velocity of 27 m/s . What distance will it cover before coming to rest? Q7. A body is decelerating uniformly to a constant speed and then accelerates uniformly. Draw the speed-time graph for such a body. Q8. An electron enters an electric field with a velocity of 5 x 104 m/s and acquires acceleration 104 m/s2 in initial direction of motion. Calculate i) The time in which electrons velocity becomes double of its initial velocity. ii) Distance travelled by the electron in this time. Q9 A body moving with uniform acceleration travels 24m in the 6th second and 44m in the 11th second. Find (a)The acceleration (b)Initial velocity of the body Q10. A balloon is rising up with an acceleration of 20m. A body is dropped from the balloon when its velocity is 500m/s. What are the values of velocity and acceleration of the body at the instant it is dropped? Q11 A boy bends to touch his toes. Is the motion of his head an example of uniform motion or accelerated motion. Explain. Q12 Two stones are thrown vertically upwards simultaneously with their velocities u and u respectively. Prove that the heights reached by them would be in the ratio of u : u . Q13 Obtain a relation for the distance travelled by an object moving with uniform acceleration in the interval between 4th and 5th seconds. Q14 The v-t graph of cars A and B which start from the same place and move along a straight road in the same direction is shown in the figure given below. Calculate (a) the acceleration of car A between 0s and 8s (b) the acceleration of car B between 2s and 4s (c) the times at which both the cars have the same velocity. (d) which of the two cars is ahead after 8s and by how much? Q15 Cars and taxis have an odometer and a speedometer which measures the distance moved in km and speed in km/hr respectively. While going by a car or a taxi note down the number of kms travelled after every ten minutes. Draw the (a) distance –time graph (b) Velocity –time graph for any such journey during vacations SOCIAL STUDIES ( POLITICAL SCIENCE) Topic: UNITED NATIONS -An intergovernmental organization GUIDELINES ( A) - Fact file ( Include the Flag, Headquater,Emblem,Official languages,Membership,Secretary General (Present)Establishment ,Charter entered into force.) ( B)- Organs & Agencies ( in detail) Note: The above Activity /Project work has to be done in the form of Booklet .(Paper size A4) PAGE LIMIT -10-15 SHEETS ( to be followed) GEOGRAPHY: DEVELOPMENT OF FOOD/AGRICULTURE RESOURCE India has become self sufficient in terms of food. Growth in agriculture sector is recorded after the decade of 1960s as an outcome of Green revolution. Prepare a project report on development of agriculture resource covering the following aspects. 1. 2. 3. 4. Extension of Northern plains Impact of development of irrigation. Use of modern tools and implements Green revolution in India Instructions: Project report should be hand written. Project report should be of three to four pages. Use graphs, pie diagrams for comparative study.