CLASS X HOLIDAY HOMEWORK (2016-17)bbpsdwarka.org/HolidayHomework/Class-X.pdfresistance of 100 ohms. 4. Two identical resistors each of resistance 10 ohm are connected 1) in series

CLASS X HOLIDAY HOMEWORK

(2016-17)

CLASS X GENERAL INSTRUCTIONS:

1. Assignments based on formative assessment are given as holiday homework. 2. Attempt the questions according to roll numbers mentioned and submit in folder.

MATHS

ROLL NUMBER 1 – 23 1 . Show that 12 x 17 x 19 x 23 + 13 x 23 is a composite number.

2. Find the HCF of 344 and 60 by the prime factorization theorem.

3. Prove that 3 + √7 is an irrational number

4. Show that square of any odd integer is of the form 4q + 1 for some integer q.

5. Show that (12)n cannot end with digit 0 or 5 for any natural number n.

6. If n is an odd integer, prove that n2 – 1 is divisible by 8.

7. Find the HCF of 456 and 120 by prime factorization method. Hence, find their LCM.

8. If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y, find y.

9. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case.

10. Express each of the following as the product of its prime factors.

(a) 6435 (b) 8085 (c) 2184

11 If α, β are the zeros of the quadratic polynomial ax2 + bx + c, a 0, then prove that a(x-α)(x-β) is equal to

ax2 – bx + c.

12. Prove that both zeros of the quadratic polynomial x2 + 99x + 127 are negative.

13. Find the zeros of the quadratic polynomial 6x2 – 3 – 7x and verify the relationship between the zeros and the coefficients of the polynomial. 14. Find the quadratic polynomial, sum of whose zeros is 8 and their product is 12. Hence, find the zeros of the polynomial. 15. For what value of k, -4 is a zero of polynomial x2 – x – (2k+2)? Also find the other zero of the polynomial. 16 Find all the zeroes of the polynomial f (x) = 2x4 – 3x³ – 5x² + 9x – 3, if two of its zeroes are ± √ 3.

17 What must be subtracted from 8x4 + 14x³ - 2x² + 7x – 8 so that the resulting polynomial is exactly divisible by 4x² + 3x – 2?

18. If α , β and γ are three zeroes of the cubic polynomial p(x) = 3x³ – 6x² + 5x – 3, then, find their sum and product. 19. Find all the zeroes of the polynomial p(x) = x4 – 7x³ + 9x² + 13x – 4, if two of its zeroes are (2 +√ 3) and ( 2 - √ 3).

20 . If one zero of the polynomial 3x2 + (2k+7)x – 4 is negative of the other, find the value of

k and hence find the zeros.

21. Two similar triangles ABC and PBC are made on opposite sides of the same base BC. Prove that AB = BP

22. If the three sides of a triangles are a, √3a , 2a , then what is the measure of angle opposite to the longest side?

23 Amit is standing at a point on the ground 8m away from a house. A mobile network tower is fixed on the roof of the house. If the top and bottom of the tower are 17m and 10m away from the point. Find the heights of the tower and house.

24. In a right angled triangle PRO, PR is the hypotenuse and the other two sides are of length 6cm and 8cm. Q is a point outside the triangle such that PQ = 24cm RQ = 26cm. What is the measure of QPR?

25. In ABC, P and Q are points on AB and AC respectively such that PQ||BC. Prove that the median AD bisects PQ.

26. PQRS is a trapezium. SQ is a diagonal. E and F are two points on parallel sides PQ and RS respectively. Line joining E and F intersects SQ at G. Prove that SG × QE = QG × SF.

27. Two poles of height 6 m and 11 m are fixed on the ground. The distance between their tops is 13 m. How far are the poles from each other?

28. Diagonals of a trapezium PQRS intersect each other at the point O, PQ||RS and PQ = 3 RS. Find the ratio of the areas of triangles POQ & ROS.

29. In a rhombus, prove that four times the square of any sides is equal to the sum of squares of its diagonals.

ROLL NUMBER 24 – 46

1. Find the quadratic polynomial, sum of whose zeros is 8 and their product is 12. Hence,

find the zeros of the polynomial.

2. Find the zeros of the quadratic polynomial x2 +13x + 36 and verify the relations between

the zeros and the coefficient of the polynomial.

3. If the polynomial 6x4 + 8x3 +17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1,the

reminder comes out to be ax + b, find a and b.

4. For what value of k, -4 is a zero of polynomial x2 – x – (2k+2)? Also find the other zero of the

polynomial.

5. If (x + k ) is a factor of 2x² + 2kx + 5x + 10, find k.

6. Divide (3 – x + 2x² + x³ – 3x4 ) by (2 – x ) and verify by division algorithm

7. If ‘1’ is one of the zeroes of the polynomial p(x) = 7x – x³ – 6. Find its other zeroes.

8. Find the polynomial whose zeroes are reciprocals of the zeroes of the polynomial 2x² + 3x – 6.

9. Find the quadratic polynomial whose zeroes are and

10. If the sum of the zeroes of the quadratic polynomial kx² + 2x + 3k is equal to their product, find k.

11. If HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.

12. Prove that 5 + 2 √ 3 is an irrational number.

13. After how many places of decimals, the decimal expansion of the rational number will

terminate?

14. Using Euclid’s division algorithm, find the HCF of the following.

(a) 1288, 576 (b) 155, 1305 (c) 240, 1024

15. Show that every positive even integer is of the form 2q and every positive odd integer is of the

form 2q+1, where q is some integer.

16. The product of two numbers is 20736 and their HCF is 54, find their LCM.

17. An army group of 308 members is to march behind an army band of 24 members in a parade .The

two groups are to march in the same number of columns. What is the maximum number of column

in which they can march?

18. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case.

19. Two brands of chocolates are available in pack of 24 and 15 respectively. If I need to buy an equal

number of chocolates of both kinds, what is the least number of boxes of each kind I would need to

buy?

20. Show that √2 + √ 3 is an irrational number.

21. The length, breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm, respectively.

Determine the longest rod which can measure the three dimensions of the room exactly.

22. Two poles of height 6 m and 11 m are fixed on the ground. The distance between their tops is 13 m.

How far are the poles from each other?

23. In two triangles ∆ABC and ∆XYZ if ∠ =∠ B Y and AB BC XY YZ = then what is the value of XZ/

YZ ?

24. In a quadrilateral ABCD, ∠ B = 900 . Also ∠ACD = 900 , prove that AD2 = AB2 + BD2 + CD2 .

25. In a ∆ABC, P divides the sides AB such that AP : PB = 1 : 3. Q is a point on AC such that PQ BC

& . Find the ratio of the areas of ∆APQ and trapezium BPQC.

26. Prove that the equilateral triangles described on the two sides of a right angled triangle are together

equal to the equilateral triangle on the hypotenuse in terms of their areas.

27. Prove that in a right angled triangle the area of the square formed on the hypotenuse is equal to the

sum of the areas of the squares formed on the other two sides.

28. In ∆ABC , AD is a median, X is a point on AD such that AX : XD = 2 : 3 Ray BX intersect AC in

Y. Prove that CY = 3 AY.

29. In a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then prove that the angle opposite to the first side is a right triangle.

GENERAL SCIENCE

ROLL NUMBER 1 – 15 1. What are the factors on which the resistance of conductor depends? Give the corresponding relation. 2. Calculate the resistance of a 2m long nichrome wire of radius 0.321mm. Resistivity of nichrome is

15 x 10-6 Ω m. If the potential difference of 10v is applied across this wire, what will be the current in the wire?

3. Derive an expression for the equivalent resistance of three resistances connected in series? 4. Derive an expression for the combination of three resistances connected in parallel. 5. Express Ohm’s law both by a mathematical formula and by a graph. 6. Which instrument is used to measure the current flowing in a circuit? How is it connected in the circuit and why? 7. What happens chemically when quick lime is added to water? 8. Why is Hydrogen Peroxide stored in colored bottles? 9. In the refining of silver, the recovery of silver from silver nitrate solution involved displacement by copper metal. Write down the reaction involved. 10. A shiny brown colored element ‘X’ on heating in air becomes black in colour. Name the element ‘X’ and the black coloured compound formed. 11. Distinguish between displacement and double displacement reaction with the help of an example.

12. What type of reaction takes place when: (i) Limestone is heated (ii) Electricity is passed through water (iii)Silver Bromide is exposed to sunlight (iv) Ammonia and Hydrogen Chloride are mixed.

13. List the three events that occur during the process of photosynthesis. Explain the role of stomata in this process.

14. Describe an experiment to show that sunlight is necessary for photosynthesis. 15. Explain the process of digestion of food in mouth, stomach and small intestine in human body. 16. How is respiration different from breathing? Explain the process of aerobic and anaerobic respiration. 17. All plants give out oxygen during day and carbon dioxide during night. Do you agree with this statement? Give reason. 18. In each of the following situations what happens to the rate of photosynthesis? a) Cloudy day b) No rainfall in the area c)Good manuring in the area d) Stomata gets blocked due to dust. 19. What are the functions of gastric glands present in the wall of the stomach? 20. Explain with a schematic representation the exchange of gases in tissues.

ROLL NUMBER 16 – 30 1. If a wire is stretched to triple its original length, what happens to its resistivity? 2. Calculate the ratio of series to parallel combination if there are n number of resistances. 3. Calculate the potential difference, if there are 5000 charge carrier are flowing for 10 min through a resistance of 100 ohms. 4. Two identical resistors each of resistance 10 ohm are connected 1) in series 2) in parallel, in line to a battery of 6volts. Calculate the ratio of power consumed in the combination of resistors in the two cases. 5. A bulb is rated at 220V- 100W. What is its resistance? Five such bulbs burn for 4 hrs. What is the energy consumed? Calculate the cost if the rate is 50paise per unit? 6. Express ohm’s law mathematically. Draw a circuit diagram to verify Ohm’s law. Present the relationship between the voltage applied across a conductor and the current flowing through it graphically. 7. What is the difference between combination and decomposition reaction? Give one example of each kind. 8. A magnesium ribbon is burnt in oxygen to give a white compound X accompanied by emission of light. If the burning ribbon is now placed in an atmosphere of nitrogen then,

(a) Write the chemical formulae of X and Y (b) Write a balanced chemical equation, when X is dissolved in water.

9. Why do we apply paint on iron articles? 10. Oil and fat containing food items are flushed with nitrogen. Why? 11. What do you mean by a precipitation reaction? Explain giving examples. 12. How are decomposition reactions helpful in metallurgical processes? 13. How are lungs designed in human beings to maximize the area for exchange of gases? 14. Draw a neat labeled diagram of human alimentary canal. Name the glands associated with digestion of starch in human digestive tract and mention their role.

15. How is required pH maintained in the stomach and small intestine? 16. Why is small intestine in herbivores longer than in carnivores? 17. What is the difference between respiration in plants and respiration in animals? 18. How are fats digested in our body? Where does the process take place? 19. What are the different ways in which glucose is oxidized to provide energy in various organisms? 20. Distinguish between intracellular and extracellular digestion.

ROLL NUMBER 31 – 46 1. How does the resistance of wire change when 1) Its length is doubled 2) Area is doubled? 2. An electric kettle rated 1000W, 220V is used to bring water at 20 degrees to its boiling point. If the kettle is switched on for 10 minutes. Calculate: a) The resistance of the element of kettle b) Current flowing through the element c) Mass of water in the kettle. 3. How are different electric appliances connected in a house? 4. What is the resistance of an ideal ammeter? 5. When does the current flow in an electric circuit? 6. What is the difference between resistance and resistor? 7. What are Redox reactions? Give its two examples? 8. Why do we apply paint on iron articles? 9. What do you mean by precipitation reaction? Give its one example. 10. Write the balanced chemical equation of the following and identify the type of reaction in each case:

a) Potassium bromide (aq) + Barium iodide (aq) -> potassium iodide (aq) + barium bromide(s) b) Zinc carbonate(s) zinc oxide(s) + carbon dioxide (g)

11. Write an activity to show the change in the state of matter and change in temperature during a chemical reaction (change). 12. Write an activity to show the electrolysis of water, as an example of decomposition reaction. 13. Explain why Bile juice does not contain any digestive enzymes, yet it is essential for digestion. 14. Draw a diagram of human alimentary canal and label on it – oesophagus, liver, gall bladder, and duodenum. What is the function of liver and pancreas in human body? 15. How is small intestine designed to absorb digested food? 16. How does nutrition takes place in Amoeba? 17. Explain the three pathways of breakdown of glucose in living organisms. 18. Why is the rate of breathing in aquatic organisms much faster than in terrestrial organisms? 19. Leaves of a healthy potted plant were coated with vaseline to block the stomata. Will this plant remain healthy for long? State three reasons for your answer. 20. Why is the inner wall of alimentary canal not digested although the digestive enzymes can digest all the materials that make cells?

SOCIAL SCIENCE

ROLL NUMBER 1 – 12 1. Mention any three restrictions imposed by the British government upon the Indian merchants in the 19th century. 2. Why did the Manchester exports to India decline after the First World War? 3. Who were the jobbers? Explain their functions. 4. How did the British manufacturers attempt to take over the Indian Market with the help of advertisements?

Explain three example. 5. Explain the various problems faced by the Indian weavers in the 19th century. 6. How have Belgium and Sri Lanka dealt with the question of power sharing differently. 7. Explain three reasons as why power sharing is desirable. 8. What is majoritarianism? How has it increased the feelings of alienation among Sri Lankan Tamils? Explain with

examples. 9. Differentiate between Horizontal division of powers and vertical division of powers. 10. “After 1840, the life of workers improved in England.” Explain. 11. What is Krishna- Kaveri dispute? 12. Who proclaimed dams as ‘The temples of modern India’ and Why? 13. “In recent years, multipurpose projects and large dams have come under great scrutiny and opposition.” Explain

with three examples. 14. “Irrigation has changed the cropping pattern of many regions.” What are its consequences? (give 5 points) 15. What is Per Capita Income? Why is it a better way of measuring development than National Income? 16. What is meant by ‘Economic Development’? How is it different from Economic Growth? 17. “What may be development for one may not be development for the other.” Explain with a suitable

example. 18. Distinguish between Economic Development & Human Development.


1. How has a series of inventions in the eighteenth century increased the efficiency of each of production process in cotton industry? Explain.

2. Why is it necessary to use advertisements for various products? 3. Throw light on production during the proto-industrialization phase in Europe in the 17th and 18th century

with an example. 4. How did the East India Company procure regular supplies of cotton and silk textiles from Indian weavers? 5. Explain the miserable conditions of Indian weavers during the East India Company’s regime in the 18th

century. 6. What led to tensions between the Dutch speaking and French speaking communities during 1950s and

1960s? 7. What do you mean by the Belgium model? Examine the main elements of Belgian model

of power sharing. 8. What are the different forms of power sharing in modern democracies? Give an example of each of these. 9. What does the sharing of power among political parties, pressure groups and movements

ensure? 10. Give prudential and moral reasons for power sharing.(3 points each) 11. What is majoritarianism? How has it increased the feeling of alienation among Sri Lankan Tamils?

Explain with examples. 12. Why is there urgent need to conserve and manage our water resources?

13. How has the multi-purpose river valley projects become harmful for the country? Explain with four

examples. 14. Why have the multipurpose projects and large dams been the cause of many new social movements?

Give any three reasons.


1. Explain three reasons for which the population of London City expanded over the nineteenth century. 2. How had a series of inventions in the 18th century increased the efficiency of each step of production process

in cotton industry? Explain. 3. Explain why in the 17th century the merchants of towns in Europe began employing peasants and artisans

within the villages. 4. Examine the nature of network of Indian export trade before 1750. 5. Critically examine how the British companies gradually asserted monopoly rights in India. 6. Explain how power is shared among different organs of government. 7. Describe any three demands of the Sri Lankan Tamils. How did they struggle for their demands? 8. Why did a civil war break out in Brussels? List out the setback caused by the Civil War. 9. Why and how is power shared in democracies? Why is this power sharing desirable? 10. Why did the upper class people prefer to use hand made products in the Victorian period? Explain with

examples. 11. What was the main purpose of launching multipurpose projects in India after Independence? 12. How was rainwater harvesting in semi-arid regions of Rajasthan done? 13. Give an account of the form of rainwater harvesting system existing in Gendathur, a remote backward

village, in Mysore, Karnataka. 14. Write four disadvantages of multipurpose river projects. Also write its advantages. 15. Besides income there are other important goals which are crucial for the development of an

individual. What are these goals and why are they important? 16. ‘While average income is useful for comparison but it may hide disparities’. Explain.


1. Why are different water harvesting systems considered a viable alternative to both Socio economically and environmentally in a country like India?

2. How have intense industrialization and urbanization posed a great pressure on the Existing fresh water resources in India? Explain with two examples for each.

3. How were the underground tanks beneficial to the people of Rajasthan? 4. Describe any five measures adopted for conservation of water resources. 5. What are different forms of power sharing in modern democracies? Give an example of each of these. 6. What is water scarcity and what are its main causes? 7. Differentiate between Horizontal division of powers and Vertical division of power. 8. Water is available in abundance in India even then scarcity of water is experienced in major parts of the

country. Explain with four examples 9. How are powers shared in different social groups and why? How does democracy

accommodate different social groups? 10. Give six examples of the uses of multipurpose projects. 11. Why did the bourgeoisie prefer handmade products in the 19th century? 12. How does democracy accommodate different social groups?

13. What is rainwater harvesting? What are its objectives? How can we recharge groundwater Aquifers? 14. How did the East India Company procure regular supplies of cotton and silk textiles from

Indian weavers? 15. In what respects is the criterion used by UNDP for measuring development different from the

one used by the World Bank? Explain in detail. 16. What is meant by Sustainability of Development? Why is it important? Suggest the various ways

in which development can be sustainable.

ENGLISH ROLL NUMBER 1 – 15

Read any one of the following plays by William Shakespeare: Much Ado About Nothing OR As you like it. Attempt the following questions in 150-200 words each. a) Pick your favourite character and give reasons for your choice. b) Critically evaluate the plot and the storyline used by the author. c) Prepare a timeline for the story highlighting the major happenings. d) Extrapolate about story’s ending or life of characters after the story ends. e) Design an attractive book cover for the same book on your own with the following specifications. i) Inner flap (front) : Information about 2-3 main characters in about 50 words. ii) Front cover : Name of the book and author’s name. iii) Back cover : Information about the story in about 50 words. iv) Inner flap (back) : Information about the author in about 50 words. ROLL NUMBER 16 – 30 1. You are Miriam. After several years of your marriage, you realise your mistake of not writing to your beloved father and asking about his well-being. Write a letter to your father apologising for your behaviour and requesting him to meet you. Present it on an A-4 size sheet duly enclosed in an envelope ready for postage.

2. Prepare a story board depicting the pictorial presentation of the poem, ‘the frog & the nightingale’ by Vikram Seth.


Write an introspective piece on how people try to put down others when they are on a winning streak. Our self-image is based on what others make us believe we are. A poor self-image can do irreparable damage to us. Do you agree with this statement? Elaborate your writing with suitable reasons and examples.

COMPUTER SCIENCE

What is Object Oriented Programming?

Object-oriented programming (OOP) is a programming paradigm that uses "objects" and their interactions to design applications and computer programs. Programming techniques may include features such as encapsulation, modularity, polymorphism, and inheritance. It was not commonly used in mainstream software application development until the early 1990s. Many modern programming languages now support OOP.

What is C++?

C++ is a general-purpose programming language. C++ is regarded as a middle-level language, as it comprises a combination of both high-level and low-level language features. It is a statically typed, free-form, multi-paradigm, generally a compiled language where compilation creates machine code for the target machine hardware, supports procedural programming, data abstraction, object-oriented programming, and generic programming.

PROJECT 1

ROLL NUMBER 1 – 15 The School Management System provides an innovative solution for Today’s school record-keeping challenges. This school management software gives room to handle responsibilities efficiently. School Management Software is a complete and customized solution for a school handling regular management work. Following are the activities of the Student Management System.

1. Student’s personal detail 2. Student’s Marks detail 3. Parent’s Details

Identify the entities, its characteristics and behavior. Prepare a report of the problem description with sample data of the above given case study. Take printouts (minimum 5 pages). Photocopy is not allowed.

PROJECT 2

ROLL NUMBER 15 – 30 Mission Hospital keeps the records of its patients including the registration details of the patient and the fee payments. The entry of patients is determined whether he/she has arrived in emergency, OPD or for a routine check-up. The patient who gets admitted is provided with a room according to his/her choice. The patient is allotted a doctor according to his illness. The doctor may refer the patient to another doctor with expertise of the illness. On discharge, the patient is required to settle the bills sent by the accounts department of the hospital. The hospital also keeps the record of the doctors visiting the hospital, plus the permanent employees of the hospital. Following are the activities of librarian of Hospital

1. Registration of patient 2. Allocate room 3. Allocate doctors 4. Settle bills


PROJECT 3


The Employee Payroll system takes care of storage and maintenance of records of employees of an organization and calculates their pay. A database named payroll is maintained which consists of two tables namely Employee and Salary. The Employee table contains Every month the salary table is created with the monthly salary details

Following are the activities of payroll of Employee

1. Employee details 2. Department details 3. Generate employee salary


Documents

CLASS X HOLIDAY HOMEWORK (2016-17)bbpsdwarka.org/HolidayHomework/Class-X.pdfresistance of 100 ohms. 4. Two identical resistors each of resistance 10 ohm are connected 1) in series