PIONEER CONVENT SR. SEC. SCHOOL HOLIDAY ASSIGNMENT (2020-21)

CLASS -X

ENGLISH Question 1. Write a composition (300-350) on any one of the following: a) Write an original story that illustrates the moral: “Plight of Stranded Labours During Lockdown‟. b) “Industrialisation has deprived many people of their traditional occupations”. Express your views either “for” or “against” this statement. c) You have recently purchased some gadgets for household use. You find them very useful, but your grandparents sneer at them. Describe the gadgets and your own feelings for them. d) You are in the habit of taking lift at odd hours. Narrate what frightened you one night when you were in the car of a total stranger. e) Study the pictures given below: Write a short story or description or an account of what the picture suggests to you. Your composition may be about the subject of the picture or you may take suggestions from it.

Question 2. Fill in each blank with an appropriate word:

i. The minister hinted __________ changing the rules. ii. I insisted ______________ getting the correct book from the shopkeeper.

iii. I am satisfied _____________ your work. iv. Gold is superior _____________ silver. v. My mother told me to go ____________ my notes before examination.

vi. The boy who cried wolf liked to make ____________ stories to fool the people. vii. Everyone desires ______________ peace.

viii. My friend said I could count ________________ her help. Question 3. Join the following sentences to make one complete sentence without using “and”, “but” or “so”.

i. He will die one day. All men are mortal ii. Try to be honest. Try to be faithful.

iii. Is she awake? Is she asleep? iv. Don’t violate the road rules. You will be involved in an accident.

Question 4. Re-write the following sentences according to the instructions given after each. Make other changes that may be necessary, but do not change the meaning of each sentence. i. The servant cleans the room three times a day. [Use the verb „cleaned‟]. ii. “What do you mean by coming in like this?” said the man to the stranger. [Begin: The man asked] iii. Few teachers teach as well as Ankush. [Begin: Ankush teaches ……………………] iv. Sardar Patel was so firm-minded that he could face every situation fearlessly. [Use the adverb too] v. His actions are very cruel. [Change it into exclamatory] vi. As soon as the tiger sprang upon the goat, the hunter killed it. [Begin: No sooner …………………………….] vii. Unless the Germans attack first, the British will not open fire. [Begin: if …………….] viii. He rejected their offer. [Use „offer‟ as verb] Question 5. Learn and write in practice notebook, the questions and answers of the chapters taught, 1. A Letter to God, 2. Nelson Mandela - A Long Walk to Freedom, 3. A Triumph of Surgery, 4. The Thief’s Story, 5. Dust of Snow, 6. Fire and Ice, 7. Two Stories About Flying, 8. A Tiger in The Zoo.

MATHEMATICS 1. Do practice of chapter – 1, 2, 3, 4 and 7 for your periodic assessment – 1.

2. Complete the following lab activity in lab manual: act – 1, 2, 3, 4, 5, 8, 11, 15, 16, 20, 23 and 24.

3. Do assignment of chapter – 1, 2, 3, 4, 7 in fair notebook.

4. Prepare a beautiful chart on any topic of maths related to your CBSE syllabus.

SCIENCE - Chemistry

Chapter - Chemical reactions and equations

Q1 A metal nitrate A on heating gives a yellowish brown metal oxide along with a brown gas B and a colorless gas

C. aqueous solution of A on reaction with potassium iodide forms a yellow precipitate of compound D .identify

A, B, C and D

Q2. Ferrous sulphate crystals decomposes with the evolution of a gas with a characteristic smell of burning

sulphur. Write the chemical reaction involved and the type of reaction.

Q3.A solution of potassium chloride when mixed with silver nitrate solution, an insoluble white substance is

formed. Write the type of chemical reaction and the corresponding balanced chemical equation.

Q4.In a solution of copper sulphate , a strip of metal M was inserted. After sometime, the colour of copper

sulphate solution faded away. Which metal is more reactive and which one is less? Give equation .Also mention

the type of reaction.

Q5. Name one metal which can displace zinc from its salt solution and one metal which cannot displace zinc from

its salt solution.

Q6.What happens when limestone is heated strongly? What type of reaction is this? Q7.What happens when an

aqueous solution of barium chloride is mixed with an aqueous solution of sodium sulphate? Write the equation

also.

Q8.Give an example of a reaction which is both an exothermic and combination reaction.

Q9. Why does milkiness disappear when carbon dioxide is passed through lime water in excess?

Q10. Suggest any two observations in an activity which may suggest that a chemical reaction has taken place.

Give example in support of your answer.

Q11. What is wrong with the following equation-N + 3H NH3

Q12. Solid calcium oxide was taken in a container and water was added to it slowly.

(i) State any two observations made in the experiment.

(ii) Write the name and chemical formula of the product.

Chapter –ELECTRICITY

1. Define the term “electric current.

2. Define the term ‘resistivity’ of a material.

3. How is a Voltmeter connected in the circuit to measure the potential difference between two points.

4. You have two metallic wires of resistances 6 ohm and 3 ohm. How will you connect these wires to get the

effective resistance of 2 ohm?

5. State Ohm’s law. “The resistance of a conductor is 1Ω.” What is meant by this statement?

6. Why are coils of electric toaster made of an alloy rather than a pure metal?

7. Why is the series arrangement not used for domestic circuits?

8. A wire of resistivity ‘r’ is stretched to double its length. How does it affect the (a) resistance (b) resistivity?

9. Derive the equation for resultant resistance of Resistors in series

10. How much work is done in moving a charge of 3 coulumb from a point at the volts 115 to a point at 125 volts?

[ 30j]

11. Study the following data and write which set of value should be rejected so that ohm’s law holds good for the

remaining set of values. Draw the graph and find out the mean resistance (3) V(volts) 2.5 5.0 10.0 15.0 20.0 25.0

I(A) 0.1 0.2 0.3 0.6 0.8 1.0

12 A wire of resistance 20 ohm is bentin the form of a closed circle. What is the effective resistance between the

two points at the end of any diameter of the circle?

13 Two wires A and B are of equal lengths, different cross-sectional areas and made of the same metal.

(i) Name the property which is same for both the wires.

(ii) Name the property which is different for both the wires.

(iii) If the resistance of wire A is four times the resistance of wire B, calculate

(iv)the ratio of the cross-sectional areas of the wires.

(v)the ratio of the radii of the wires.

14. A resistor of 8ohm is connected in parallel with another resistor X. The resultant resistance of the

combination is 4.8 ohm. What is the value of X?

15 How will you connect three resistors of 2 ohm, 3 ohm , 5 ohm respectively so as to obtain resultant resistance

of 2.5 ohm ? Draw the diagram to show arrangement.

16. A wire of resistance 5 ohm is bentin form of closed circle. What is the effective resistance between the two

points at ends of any diameter of circle?

17 Why electrons flow in a wire when connected to a battery?

Q2 Define

1) Electric current

2) Potential difference

18 Find new resistance of wire if it is stretched to twice its original length. Original resistance was 20 ohm. Also

how its resistivity will change.

19 Which combination we prefer for domestic circuit, parallel or series? Give reason

20 Find the total resistance in the diagram below.

Q21Why we use fuse in domestic circuit?

Q22 Define

1) Resistivity

2) Electric circuit

Q23 Find new resistance of wire which is doubled on itself. If Original resistance of wire is 50 ohm.

Q24 Write factors affecting resistance of a wire.

Q25 Explain working of bulb and fuse? Important questions of cbse papers

Q26 Calculate the potential difference between two terminals of a battery if 100 joules of work is done to

transfer 20 coulomb from one terminal to another

Q27 Calculate the current in a circuit if 500 C of charge pass on through it in 10 minutes.

Q 28 Calculate the amount of charge that would flow in 2 hours through an element of an electric bulb drawing a

current of 0.25A

Q29 Define electric circuit. Distinguish between open and closed electric circuits.

Q30 A piece of wire of resistance 20 ohm is drawn out so that its length is increased twice its original length.

Calculate the resistance of the wire in the new situation.

Q31 Resistance of a metal wire of length 1m is 26 ohm at 20 degree Celsius . If the diameter of the wire is 0.3 mm

, what will be the resistivity of the metal at that temperature?

Q32 A toaster of resistance 100 ohm is connected to 220 V line. Calculate the current drawn by the toaster.

Q33 State the factors on which resistance of a conductor depends.

Q34 Define resistance of a material. Write its SI unit.

Q35 State ohms law. Write mathematical form of ohm’s law .

Q 36 Four resistors of 2 ohm each are joined end to end to form a square ABCD. Calculate the equivalent

resistance of the combination between any two adjacent corners.

Q37 A wire of resistance 20 ohm is bentin the form of a circle. What is the effective resistance between two

points at the end of any diameter of the circle?

Q38 An electric heater of resistance 500 ohm is connected to a main supply for 30 min . if 5 A current flows

through the filament of the heater . Calculate the heat energy produced in the heater .

Q39 An electric heater is rated 1 KW, 220 V . Calculate resistance of the heating element.

Q40 Calculate the amount of heat produced in an electric heater of resistance 1000 ohms if 6A current is passed

through it for 10 min

Q41 Two lamps, one rated 100W at 220 V and other 40 W at 220 V are connected in parallel to 220 V main supply

. Calculate the current drawn from the supply line.

Q42 An electric heater is rated at 2 KW. Calculate the cost of using it for 2 hr daily for the month of September, if

each unit cost 4rs.

Q43 Will current flow easily through a thick wire or thin wire of the same material, when connected to the same

source. Why?

Q44 Judge the equivalent resistance when the following are connected in parallel:

a) 1 ohm and 106 b) 1ohm and 1000 ohm

Q 45 How can three resistors of resistances 2ohm , 3ohm and 6 ohm be connected to give a total resistance of a)

4 ohm b) 1 ohm ?

Q46 Why does the connecting cord of an electric heater not glow while the heating element does?

Q47 An electric motor takes 5 A from a 220 V line. Determine the power of the motor and energy consumed in 2

h.

Q48 Mention the factors that maintain the flow of charge through a conductor.

BIOLOGY Q1: a) Name the enzyme present in saliva?

b) What is emulsification?

Q2: State the three events that occur during the process of photosynthesis. Explain the role of stomata in the

process.

Q3: Why do herbivores have longer, small intestine than carnivores?

Q4: Explain the process of digestion in mouth, stomach and small intestine in human body.

Q5: What is saliva? State its role in digestion of food.

Q6: Mention the raw materials required for photosynthesis.

Q7: Name the green dot like structures in some cells observed by a student when a leaf peal was viewed under a

microscope. What is this green color due to?

Q8: What are the final products after digestion of carbohydrates and proteins?

Q9: Draw a diagram to show nutrition in Amoeba and label the parts used for this purpose. Mention any other

purpose served by this part other than nutrition.

Q10: State the role of the following in human digestive system a) Digestive enzymes b) hydrochloric acid c) villi

Q11: i) Draw a diagram to show open stomatal pore and label on it: a) guard cells b) chloroplast

ii) State two functions of stomata.

iii) How do guard cells regulate the opening and closing of stomatal pore?

Q12: i) Leaves of a healthy potted plant were coated with Vaseline to block the stomata. Will this plant remain

healthy for long time? State three reasons for your answer.

ii) State any two differences between autotrophic and heterotrophic nutrition.

iii) Describe an experiment to show that “sunlight is essential for photosynthesis”.

Q13: i) Draw a diagram depicting human alimentary canal and label on it: gall bladder, liver and pancreas.

ii) State the role of liver and pancreas

Social Studies 1. Prepare a project file with following details:-

1. The total length of the project report should not be more than 20 written pages of A-4 size sheet.

2. The project report should be handwritten and credit will be awarded to original drawings, illustrations and

creative use of eco-friendly material.

3. The project report should be presented in a neatly bound simple folder.

4. The project report should be developed and presented in this order

a) Cover page showing project title, student information, school and year.

b) List of contents with page numbers.

c) Certificate page

d) Acknowledgements

e) Chapters with relevant headings.

f) Summary and conclusions based on findings.

g) Bibliography

Suggested Projects [Choose any one topic out of A, B, C or D]

A: DISASTER MANAGEMENT:

1. Generating awareness on Disaster Management.

2. Role of government / non-government functionaries in your locality in Disaster Management.

3. Identify and design structure safety measures for constructing disaster resistant buildings. (Earthquake,

landslide, cyclone and flood resistant)

B: POPULAR STRUGGLES AND MOVEMENTS:

4. Popular movement for democracy in Nepal and struggle for water in Bolivia.

5. Narmada Bachao Andolan

6. Long term movement : Women’s movement or Environment movement

C: MONEY AND CREDIT:

7. Visit any bank and explain various activities undertaken by the banks.

8. Collect information about the micro credit schemes organised by Self Help

D. Consumer Rights

2. Learn and Revise the following chapters for Periodic Test.

1. History -: ch -1 & 2

2. Geography -: ch- 1, 2,& 3

3. Political science - : ch- 1, 2 & 3

4. Economics :- ch - 1 & 2

3. Prepare a report on "covid-19 a blessing or curse " ( should not more than 10 pages)

4. Map work Locate and label the following:-

Geography

Resources and Development -:

Locate and label the following items on an political map of India with appropriate symbols.

1. Regions covered under Alluvial soil

2. Regions covered under Laterite soil

3. Regions covered under Black soil

4. A major soil type

5. Soil type that is formed where the rainfall is low

6. Soil type found mainly in hill slop

Chapter 3: Water Resources Locating and Labelling Dams: (1) Salal (2) Bhakra Nangal (3) Tehri (4) Rana Pratap

Sagar (5) Sardar Sarovar (6) Hirakud (7) Nagarjuna Sagar (8) Tungabhadra (Along with rivers)

History

Nationalism in India:-

1. Indian national congress sessions

2. Places of satyagraha

3. Centres of non- cooperation movement

4. Centres of civil disobedience movement

Hindi

Computer Science 1. Revise and learn chapter – 1 Introduction to the Internet & 2 Introduction to HTML

2. Write Questions and answer of above chapters in your computer notebook.

3. Make a PPT Presentation on the topic – use of Technology in current crisis (Lockdown) and helpful

applications.

4. Create and HTML document ‘My Personal Blog’ and write source code in your computer notebook.

NOTE:

• All the homework should be done in the respective notebooks in good

handwriting. • Revise the whole syllabus done till now in all subjects.

• Do the given worksheets.

• Please deposit Tuition Fee timely (General Category only), ignore if already deposited.

• Online classes will continue periodically, for details contact to the following numbers.

• For Admission related enquiries please contact: 9654836441, 9654745537, 9899198884

Enjoy summer holidays, stay at home stay safe.

Assignment Worksheet-Social Studies POLITICAL SCIENCE 1. Brussels is the capital of Belgium. What else is it famous for?

2. Briefly explain the prudential reason for power sharing.

3. Explain in brief the vertical and horizontal power sharing.

4. What is majoritarianism? What are the majoritarian measures adopted by the Sri Lankan government to

establish Sinhala supremacy?

5. Define “coming together” and “holding together” federations with one example each.

6. How does Jammu and Kashmir enjoy a special status?

7. Differentiate between Federal and Unitary forms of government.

8. Explain Rural Local Government.

GEOGRAPHY 1. Why are human beings considered an essential component of resources?

2. How are resources classified on the basis of exhaustibility?

3. What is agenda 21?

4. On a political map of India mark two states each with

a) Red and Yellow soil b) Black soil

5. Why is Alluvial soil area densely populated? 6.Differentiate between the Khadar and Bangar soil.

7. “The availability of resources is a necessary condition for development.” Comment.

ECONOMICS 1. Give some examples where factors other than income are important aspects of our lives.

2. “What may be development for one may not be development for the other; it may even be destruction for the

other.” Give one example each to explain these statements.

3. Write any two development goals each for-

a) A landless labourer.

b) A prosperous farmer from Punjab.

What do these development goals depend on?

4. Define Infant Mortality Rate.

5. How is the criteria used by World Bank different from the criteria used by UNDP?

6. Give an example to explain how collectiv provision of public facilities is best and cheapest.

7. Why is the issue of sustainability important for development? List any four examples of environmental

degradation that you may have observed around you.

HISTORY 1. In revolutionary France, who were given the right to vote?

2. What is the date of demolition of Bastille?

3. What is the year in which the English Parliament seized power from the British Monarchy?

4. What did Liberal Nationalism stand for?

5. Discuss the importance of language and popular traditions in the creation of national identity.

6. How were liberty and equality for women to be defined?

7. Explain why the decade of the 1830s is known as ‘great economic hardship’ in Europe. Give Reasons.

8. Briefly trace the process of German unification.

9. Define the meaning of “Imperialism.”

10. What is the true meaning of Satyagraha?

11. What were the two important proposals of the Rowlatt Act 1919?

12. Give a brief description of Jallianwalla Bagh massacre.

13. Which were the three stages through which Gandhiji wanted the non-cooperation movement to be unfolded?

Assignment Worksheet- MATHS

(QUADRATIC EQUATIONS)

1. If 1 /2 is a root of the equation x2 + kx – 5/ 4 = 0, then find the value of k 2. Had Ajita scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would

have been the square of her actual marks. How many marks did she get in the test? 3. A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at

an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?

4. Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.

5. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number 6. If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have

been 11 more than five times her actual age. What is her age now? 7. At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows

to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.

8. At t minutes past 2 pm, the time needed by the minute’s hand of a clock to show 3 pm was found to be 3 minutes less than t2/4 minutes. Find t.

9. If b = 0, c < 0, is it true that the roots of x2 + bx + c = 0 are numerically equal and opposite in sign? Justify. 10. In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed

so that the area of the grass surrounding the pond would be 1184 m2. Find the length and breadth of the pond.

(QUADRATIC EQUATIONS)

1. If 1 /2 is a root of the equation x2 + kx – 5/ 4 = 0, then find the value of k 2. Had Ajita scored 10 more marks in her mathematics test out of 30 marks, 9 times these marks would

have been the square of her actual marks. How many marks did she get in the test? 3. A train travels at a certain average speed for a distance of 63 km and then travels a distance of 72 km at

an average speed of 6 km/h more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?

4. Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.

5. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number 6. If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have

been 11 more than five times her actual age. What is her age now? 7. At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows

to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.

8. At t minutes past 2 pm, the time needed by the minute’s hand of a clock to show 3 pm was found to be 3 minutes less than t2/4 minutes. Find t.

9. If b = 0, c < 0, is it true that the roots of x2 + bx + c = 0 are numerically equal and opposite in sign? Justify. 10. In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed

so that the area of the grass surrounding the pond would be 1184 m2. Find the length and breadth of the pond.

(REAL NUMBERS)

1. Show that one and only one out of n, n + 4, n + 8, n + 12 and n + 16 is divisible by 5, where n is any positive integer

2. For any positive integer n, prove that n3 – n is divisible by 6. 3. Prove that one of any three consecutive positive integers must be divisible by 3. 4. Prove that one and only one out of n, n + 2 and n + 4 is divisible by 3, where n is any positive integer.

5. Show that the cube of a positive integer of the form 6q + r, q is an integer and r = 0, 1, 2, 3, 4, 5 is also of the form 6m + r.

6. Show that cube of any positive integer is of the form 4m, 4m + 1 or 4m + 3, for some integer m 7. Show that the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m. 8. If n is an odd integer, then show that n2 – 1 is divisible by 8. 9. Prove that if x and y are both odd positive integers, then x2 + y2 is even but not divisible by 4. 10. Use Euclid’s division algorithm to find the HCF of 441, 567, and 693. 11. Using Euclid’s division algorithm, find the largest number that divides 1251, 9377 and 15628 leaving

remainders 1, 2 and 3, respectively 12. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm,

respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

13. The numbers 525 and 3000 are both divisible only by 3, 5, 15, and 25 and 75. What is HCF (525, 3000)? Justify your answer

14. Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons. 15. After how many places the decimal expansion of the rational number 14587/ 1250 will terminate? 16. Find the least number that is divisible by all the numbers from 1 to 10 (both inclusive) 17. If two positive integers p and q can be expressed as p = ab2 and q = a3 b; a, b being prime numbers, then

find LCM (p, q) and HCF(p, q) 18. If the HCF of 65 and 117 is expressible in the form 65m – 117 then find the value of m 19. “The product of three consecutive positive integers is divisible by 6”. Prove it. 20. Show that the square of an odd positive integer is of the form 8m + 1, for some whole number m. 21. Using Euclid’s division algorithm, check following pairs of numbers are co-prime: 847, 2160 22. Show that the square of any positive integer cannot be of the form 5q + 2 , 5q + 3 for any integer q. 23. Show that the square of any odd integer is of the form 4q + 1, for some integer q. 24. Prove that √p + √q is irrational, where p, q are primes.

(PAIR OF LINEAR EQUATIONS)

1. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then find the values of a and b 2. For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines? 3. If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then find the value of k 4. For which values of p and q, will the following pair of linear equations have infinitely many solutions?

4x + 5y = 2, (2p + 7q) x + (p + 8q) y = 2q – p + 1.

5. Solve the following pair of linear equations: 21x + 47y = 110, 47x + 21y = 162

6. Draw the graphs of the pair of linear equations x – y + 2 = 0 and 4x – y – 4 = 0. Calculate the area of the triangle formed by the lines so drawn and the x-axis.

7. For which value(s) of λ, do the pair of linear equations λx + y = λ2 and x + λy = 1 have (i) no solution? (ii) Infinitely many solutions? (iii) A unique solution?

8. Two straight paths are represented by the equations x – 3y = 2 and –2x + 6y = 5. Check whether the paths cross each other or not

9. Write a pair of linear equations which has the unique solution x = – 1, y =3. How many such pairs can you write?

10. Solve; (i) x + y = 3.3, 0.6/3x-2y = -1 ii) x/a + y/b = a+b, x/a2 + y/b2 = 2 iii)2xy/x + y = 3/2 , xy/2x-y = -3/10

11. Write an equation of a line passing through the point representing solution of the pair of linear equations x+y = 2 and 2x–y = 1. How many such lines can we find?

12. The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y.

13. Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years older than twice her age. How old are they now?

14. The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father

15. There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 20 students are sent from B to A, the number of students in A becomes double the number of students in B. Find the number of students in the two halls

16. In a competitive examination, one mark is awarded for each correct answer while 1 /2mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?

17. Draw the graphs of the lines x = –2 and y = 3. Write the vertices of the figure formed by these lines, the x-axis and the y-axis. Also, find the area of the figure.

18. Determine algebraically the vertices of the triangle formed by the lines 5x – y = 5, x + 2y = 1 and 6x + y = 17

19. Jamila sold a table and a chair for Rs 1050, thereby making a profit of 10% on the table and 25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would have got Rs 1065. Find the cost price of each

20. It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for 4 hours and the pipe of smaller diameter for 9 hours, only half the pool can be filled. How long would it take for each pipe to fill the pool separately?

21. Draw the graphs of the equations x = 3, x = 5 and 2x – y – 4 = 0. Also find the area of the quadrilateral formed by the lines and the x–axis

22. Determine, algebraically, the vertices of the triangle formed by the lines 3x-y =3, 2x-3y =2, x+2y =8 23. A person, rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40 km upstream

as in going 40 km downstream. Find the speed of the stream 24. A motor boat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km

upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream.

25. A two-digit number is obtained by either multiplying the sum of the digits by 8 or then subtracting 5 or by

multiplying the difference of the digits by 16 and then adding 3. Find the number.

26. A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a

full ticket. One reserved first class ticket from the station A to B costs Rs 2530. Also, one reserved first class ticket

and one reserved first class half ticket from A to B costs Rs 3810. Find the full first class fare from station A to B,

and also the reservation charges for a ticket.

27. A shopkeeper sells a saree at 8% profit and a sweater at 10% discount, thereby, getting a sum Rs 1008. If she

had sold the saree at 10% profit and the sweater at 8% discount, she would have got Rs 1028. Find the cost price

of the saree and the list price (price before discount) of the sweater.

28. Susan invested certain amount of money in two schemes A and B, which offer interest at the rate of 8% per

annum and 9% per annum, respectively. She received Rs 1860 as annual interest. However, had she interchanged

the amount of investments in the two schemes, she would have received Rs 20 more as annual interest. How

much money did she invest in each scheme?

29. Vijay had some bananas, and he divided them into two lots A and B. He sold the first lot at the rate of Rs 2 for

3 bananas and the second lot at the rate of Re 1 per banana, and got a total of Rs 400. If he had sold the first lot

at the rate of Re 1 per banana, and the second lot at the rate of Rs 4 for 5 bananas, his total collection would

have been Rs 460. Find the total number of bananas he had.

30. The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s

age. The present ages, in years, of the son and the father are, respectively-----------

31. Draw the graph of the pair of equations 2x + y = 4 and 2x – y = 4. Write the vertices of the triangle formed by

these lines and the y-axis. Also find the area of this triangle.

32. If x+1 is a factor of 2x3 + ax2 + 2bx + 1, then find the values of a and b given that 2a–3b = 4.

33. Two numbers are in the ratio 5: 6. If 8 is subtracted from each of the numbers, the ratio becomes 4: 5. Find

the numbers.

34. The angles of a cyclic quadrilateral ABCD are ∠A = (6x + 10) °, ∠B = (5x) °∠C = (x + y) °, ∠D = (3y – 10) ° Find x

and y, and hence the values of the four angles.

35. The cost of 4 pens and 4 pencil boxes is Rs 100. Three times the cost of a pen is Rs 15 more than the cost of a

pencil box. Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box.

(POLYNOMIALS)

1. If one zero of the quadratic polynomial x2 + 3x + k is 2, then find the value of k 2. Given that two of the zeroes of the cubic polynomial ax3 + bx2 + cx + d are 0, then find third zero 3. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, find a and b. 4. Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, then find product of the

other two zeroes 5. If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is –1, then find the product of the other two

zeroes 6. Can x – 1 be the remainder on division of a polynomial p (x) by 2x + 3? Justify your answer 7. If the remainder on division of x3 + 2x2 + kx +3 by x – 3 is 21, find the quotient and the value of k. Hence,

find the zeroes of the cubic polynomial x3 + 2x2 + kx – 18. 8. Given that the zeroes of the cubic polynomial x3 – 6x2 + 3x + 10 are of the form a, a + b, a + 2b for some

real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial 9. Given that √2 is a zero of the cubic polynomial 6x3 + √2 x2 – 10x – 4 √2, find its other two zeroes 10. Find k so that x2 + 2x + k is a factor of 2x4 + x3 – 14 x2 + 5x + 6. Also find all the zeroes of the two

polynomials 11. For which values of a and b, are the zeroes of q(x) = x3 + 2x2 + a also the zeroes of the polynomial p(x) = x5

– x4 – 4x3 + 3x2 + 3x + b? Which zeroes of p(x) are not the zeroes of q(x)? 12. Given that x – √5 is a factor of the cubic polynomial x3 – 3√ 5x2 + 13x – 3√ 5 , find all the zeroes of the

polynomial 13. Find the number of polynomials having zeroes as –2 and 5 14. What will the quotient and remainder be on division of ax2 + bx + c by px3 + qx2 + rx + s, p ≠ 0? 15. If on division of a polynomial p (x) by a polynomial g (x), the quotient is zero, what is the relation between

the degrees of p (x) and g (x)? 16. If on division of a non-zero polynomial p (x) by a polynomial g (x), the remainder is zero, what is the

relation between the degrees of p (x) and g (x)? 17. Find the zeroes of the following polynomials by factorisation method and verify the relations between

the zeroes and the coefficients of the polynomials: i) ii) iii)

iv) v) 18. For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes

are as given. Also find the zeroes of these polynomials by factorisation. -3/2√5, -1/2

PIONEERCONVENT SR. SEC. SCHOOL

Loknayakpuram, Bakkarwala

Holiday homework Computer Worksheet -1

Class – X

Q1. Fill in the blanks

1. A dial-up connection establishes a link between the computer and the ISP through a

___________.

2. ______________ is a system of interlinked document maintained on various computers on the

internet.

3. The ______________ protocol allows you to exchange information on the WWW.

4. A/An ______________ is a place where you share your thoughts and opinions.

5. _____________ is a method of sending and receiving messages from one person to another.

Q2. True or False

1. Videoconferencing is an advanced version of chatting.

2. A protocol delivers the web content through the internet.

3. TELNET is a protocol that allows you to access remote computers.

4. Wi-Fi and DSL are wireless connections.

5. Skype. Google Talk, Rediff Messenger and Yahoo messenger are chat software.

Q3. Question/Answers

1. What is the difference between broadband and Wi-Fi?

Ans.______________________________________________________________________________

_________________________________________________________________________________

2. What do you understand by the term videoconferencing?

Ans.______________________________________________________________________________

__________________________________________________________________________________

3. . What is the difference between email and chat?

Ans.______________________________________________________________________________

_________________________________________________________________________________

4. Explain WWW

Ans.______________________________________________________________________________

_________________________________________________________________________________

5. Define ISP

Ans.______________________________________________________________________________

_________________________________________________________________________________

PIONEERCONVENTSR. SEC. SCHOOL

Loknayakpuram, Bakkarwala

Holiday homework Computer Worksheet -2

Class – X

Q1. Fill in the blanks.

1. The HTML elements that need an opening tag as well as a closing tag are

called_______________

2. Tags enclose the name of the elements within________________

3. Every HTML document starts and end with an _____________ tag.

4. The <TITLE> tag can be used only inside the _______________ tag.

5. An HTML document consists of two sections, __________ and ____________.

Q2. True or False

1. HTML tags are not case sensitive.

2. The page title is specified within the <BODY> tag.

3. The HTML element is a container element.

4. The <Title> tag needs to be nested inside the <BODY> tag.

5. The HTML document must be saved by the .html or .htm extension.

Q3. Questions answer

1. Explain the structure of an HTML document.

Ans.________________________________________________________________________

___________________________________________________________________________

2. What are container elements?

Ans.________________________________________________________________________

___________________________________________________________________________

3. In the context of HTML, What do you understand by the term tag?

Ans.________________________________________________________________________

___________________________________________________________________________

4. What are tags?

Ans.________________________________________________________________________

___________________________________________________________________________

5. What is markup language?

Ans.________________________________________________________________________

___________________________________________________________________________