bhartiyam international school

Bhartiyam International School Subject: Physics

Class: X

ELECTRICITY

1- Electric current and circuit explanation with different symbols.

2- What is electric potential and potential difference?

3- State ohm’s law and verify it with different conditions.

4- Explain about resistance and resistivity with is formula.

5- Questions based on series and parallel combination of resistors.

6- Heating effect of current and safety fuse.

MAGNETIC EFFECT OF ELECTRIC CURRENT

1- What is magnetic field and field lines of force?

2- Explain with the help of diagram to show the magnetic field due to a current carrying conductor.

3- What is right hand thumb rule?

4- Give the diagram and explanation of magnetic field due to current carrying circular loop.

5- What is solenoid?

6- Explain force on a current carrying conductor in magnetic field.

7- Explain Fleming’s left hand rule?

8- What is electric motor? Give its diagram and working.

9- What is electromagnetic induction? Explain Fleming’s right hand rule.

10- What is electric generator? Give its diagram principle and working?

11- Explain domestic electric circuit.

SOURCES OF ENERGY

1- What are good source of energy?

2- Explain about conventional sources of energy also explain non conventional sources of energy.

3- Differentiate between Biomass and Biogas.

4- Explain diagram and working of Wind mill and Wind farm.

5- Discus about solar energy, tidal energy , geothermal energy and nuclear energy.

6- Explain about nuclear fission and nuclear fusion.

REFLECTION AND REFRACTION

1- Explain reflection of light.

2- Give all cases of reflection through the convex and concave mirrors.

3- Give the laws of reflection of light.

4- Explain the refraction through the glass slab. Give the definition of refraction of light.

5- Give the convex and concave lens formula, also define magnification of lenses.

HUMAN EYE AND THE COLOURFUL WORLD

1- Explain the working of human eye.

2- Explain about myopia and hypermetropia and its correction.

3- Explain the refraction of light through a prism.

4- Explain dispersion of light.

5- What is scattering of light and Tyndall effect.

6- Explain why the Colour of sky is blue and Colour of cloud is white.

Bhartiyam International School PRACTICE QUESTIONS (2018-2019)

Subject: BIOLOGY

Class: X

Name: _________________________

Life processes

1. How opening and closing of stomata is regulated?

2. What function Excel performs in stomach?

3. What is translocation? How it takes place in plants?

4. What is blood pressure? What is meant by systole and diastole?

5. How dental caries is caused?

6. Name the various heterotrophic mode of nutrition with their examples.

7. How amoeba captures its food?

8. Describe an experiment to prove that carbon dioxide is necessary for photosynthesis.

9. How exchange of gases in tissue takes place in human being?

10. Describe the various events that occur during photosynthesis.

11. With the help of schematic flow chart show breakdown of glucose by various pathways during respiration.

12. List four functions of blood. Why does blood look red? Which chamber of human heart receives oxygenated

blood from lungs?

13. Draw diagram of Nephron and explain how urine is formed

14. Describe the process of digestion of food in man

15. What is transpiration? Give its two functions.

Control and Coordination 1. What is reflex action give examples from daily life

2. What name is given to the glands that secrete hormones? Whathat are main functions of hormones?

3. What are the main functions of nervous system?

4. What are plant hormones? Name its different types.

5. Name the parts of hindbrain and mention their functions.

6. Name the various movements seen in plants due to growth.

7. With the help of diagram describe the structure of neuron.

8. What are the characteristic of hormones?

9. What is the function of sensory and motor area of cerebrum?

10. How information passes through neurones?

How do organisms Reproduce.

1. What are the various ways of a sexual reproduction?

2. what are secondary sexual character name some such character of male and female

3. in which part of the female reproductive organs of human female fertilization takes place and what happens

to the fertilized egg?

4. What is difference between vasectomy and tubectomy?

5. What for use IUCD stands ?Give an example of it.

6. Why sexual reproduction is considered advantageous over asexual reproduction?

7. What is meant by vegetative propagation? Describe its various ways.What is significance of vegetative

propagation.

8. Describe the asexual reproduction in amoeba.

9. Describe the female reproductive system with the help of a suitable diagram.

10. Draw labelled diagram to show germination of seed.

Heredity and Evolution.

1. Define genetics what is the contribution of Mendel in the branch of biology?

2. Work out a cross between pea plant Tt (tall) and tt (dwarf).

3. Explain the sex termination mechanism in human being.

4. What are the various evidences in favour of evolution?

5. How do we know how old fossils are?

6. Write a note on archaeopteryx.

7. Why are acquired character not inherited?

8. What are homologous organs give example?

9. What are analogous organs give examples?

10. What is meant by speciation?

OUR ENVIRONMENT

1. How can we reduce volume of waste?

2. Differentiate between biodegradable and Non biodegradable waste give two examples of each.

3. What is ecosystem give an example of terrestrial ecosystem and one example of aquatic ecosystem.

4. What are greenhouse gases and what is their significance?

5. How do cfcs enters the atmosphere and how do they affect human explain?

6. With the help of an example, explain how, indiscriminate use of pesticides may result in degradation of the

environment.

7. Expand UNEP. Mention the step taken by UNEP to prevent the depletion of ozone layer?

8. What happen in the landfill? Why are the components of garbage separated before being disposed?

9. Define food chain, Food web, Biomagnifications, Producers, consumers and decomposers.

10. Explain the energy flow in an ecosystem.

NATURAL RESOURCE

1. What is the concept of sustainable development?

2. Why management of natural resources requires a long term perspective?

3. Name four industries which are based on forest produce.

4. When we consider the conservation of forest we need to look at the stakeholders who are these? Which one

of these causes maximum damage to forest and how?

5. How burning of fossil fuel is affecting our environment?

6. State the three problems for criticism about large dams.

7. What is watershed management? Mention any four water-harvesting Structures.

8. Explain the people’s participation in Khejrali village.

9. Why should we conserve our forests? Mention the importance of wildlife.

10. What is silviculture?

BHARTIYAM INTERNATIONAL SCHOOL Discover beyond ordinary…

Name: _____________ Subject: Chemistry Class: X

Important Questions.

Chapter 1- Chemical Reactions and Equations

1. Decomposition reactions require energy either in the form of heat or light or electricity for breaking down

the reactants. Write one equation each for decomposition reactions where energy is supplied in the form of

heat, light and electricity.

2. A student added few pieces of aluminium metal to two test tubes A and B containing aqueous solutions of

iron sulphate and copper sulphate. In the second part of her experiment, she added iron metal to another

test tubes C and D containing aqueous solutions of aluminium sulphate and copper sulphate. In which

test tube or test tubes will she observe colour change? On the basis of this experiment, state which one is

the most reactive metal and why?

3. What is observed when a solution of sodium sulphate is added to a solution of barium chloride taken in test

tube? Write equation for the chemical reaction involved and name the type of reaction in this case.

OR

What happens when an aqueous solution of sodium sulphate reacts with an aqueous solution of barium

chloride? State the physical conditions of reactants in which the reaction between them will not take place.

Write the balanced chemical equation for the reaction and name the type of reaction.

4. Write the chemical equation of the reaction in which the following changes have taken place with an

example of each:

(i) Change in colour

(ii) Change in temperature

(iii) Formation of precipitate

5. State the type of chemical reactions and chemical equations that take place in the following:

(i) Magnesium wire is burnt in air.

(ii) Electric current is passed through water.

(iii) Ammonia and hydrogen chloride gases’are mixed.

6. (i) Write the essential condition for the following reaction to take place:

2AgBr 2Ag + Br2

Write one application of this reaction.

(ii) Complete the following chemical equation of a chemical reaction 2FeS04 —

(iii) What happens when water is added to quick line. Write chemical equation.

7. What is rancidity? Mention any two ways by which rancidity can be prevented.

8. What is redox reaction? Identify the substance oxidised and the substance reduced in the following

reactions.

(i) 2PbO + C 2Pb + CO2

(ii) MnO2 + 4HCl MnCl2 + 2H2O + Cl2

9. What is observed when a solution of potassium iodide solution is added to a solution of lead nitrate? Name

the type of reaction. Write a balanced chemical equation to represent the above chemical reaction. 10. Balance the following chemical equations:


Chapter 2- Acids, Bases and Salts

1. When you add a few drops of acetic acid to a test-tube containing sodium bicarbonate powder, which one

of the following is your observation?

2. A white coloured powder is used by doctors for supporting fractured bones.

(i) Write chemical name and formula of the powder.

(ii) When this white powder is mixed with water a hard solid mass is obtained. Write balanced chemical

equation for the change.

3. (i) State the chemical properties on which the following uses of baking soda are based:

(a) as an antacid

(b) as a soda acid fire extiguisher

(c) to make bread and cake soft and spongy.

(d) How is washing soda is obtained from baking soda? Write balanced chemical equation.

4. (i) Write the name given to bases that are highly soluble in water. Give an example.

(ii) How is tooth decay related to pH? How can it be prevented?

(iii) Why does bee sting cause pain and irritation? Rubbing of baking soda on the sting area gives relief.

How?

5. A white powder is added while baking breads and cakes to make them soft and fluffy. Write the name of

the powder. Name its main ingredients. Explain the function of each ingredient. Write the chemical

reaction taking place when the powder is heated during baking.

6. Describe an activity with diagram to illustrate that the reaction of metal carbonates and metal bicarbonates

with acids produces carbon dioxide. Write the relevant equations of all the reactions that take place. Name

any two forms in which calcium carbonate is found in nature.

7. (i) Identify the acid and the base whose combination forms the common salt that you use in your food.

Write its formula and chemical name of this salt. Name the source from where it is obtained.

(ii) What is rock salt? Mention its colour and the reason due to which it has this colour.

(iii) What happens when electricity is passed through brine? Write the chemical equation for it.

8. A student dropped few pieces of marble in dilute hydrochloric acid, contained in a test-tube. The evolved

gas was then passed through lime water. What change would be observed in lime water? What will happen

if excess of gas is passed through lime water? With the help of balanced chemical equations for all the

changes explain the observations.

9. (i) Identify the compound of calcium which is yellowish white powder and is used for disinfecting

drinking water. Write its chemical name and formula. How is it manufactured? Write the chemical

equation for the reaction involved. Also list two other uses of the compound.

(ii) Name the compound whose one formula unit is associated with 10 water molecules. How is it

prepared?Give equations of related reactions. Give two uses of the compound.

10. (i) Mention the pH range within which our body works. Explain how antacids give relief from acidity.

Write the name of one such antacid.

(ii) Fresh milk has a pH of 6. How does the pH will change as it turns to curd? Explain your answer.

(iii) A milkman adds a very small amount of baking soda to fresh milk. Why does this milk take a longer

time to set as curd?


Chapter 3- Metals and Non metals

1. (i) Write the steps involved in the extraction of pure metals in the middle of the activity series from their

carbonate ores.

(ii) How is copper extracted from its sulphide ore? Explain the various steps supported by chemical

equations. Draw labelled diagram for the electrolytic refining of copper.

2. (i) State the electron-dot structure for calcium and sulphur.

(ii) Show the formation of CaS by the transfer of electrons.

(iii) Name the ions present in this compound CaS. Atomic number of Ca = 20, O = 16.

3. (i) Define activity series of metals. Arrange the metals gold, copper, iron and magnesium in order of their

increase in reactivity.

(ii) What will you observe when:

(a) Some zinc pieces are put in copper sulphate solution.

(b) Some silver pieces are put into green coloured ferrous sulphate solution.

4. Write balanced equations for the reaction of:

(i) aluminium when heated in air. Write the name of the product.

(ii) iron with steam. Name the product obtained.

(iii) calcium with water. Why does calcium start floating in water?

5. (i) Differentiate between roasting and calcination. Explain the two with the help of suitable chemical

equations. How is zinc extracted from its ore?

(ii) Name two metals that can be used to reduce metal oxides to metals.

6. (i) The reaction of metal (X) with ferric oxide is highly exothermic. Metal (X) is obtained from its oxides

by electrolytic reduction. Identify (X) and write its reaction with ferric oxide.

(ii) Give reason to justify that aluminium oxide is an amphoteric oxide. Also, give another example of

amphoteric oxide.

(iii) Mention constituent metals present in bronze.

Chapter 4- Carbon and its compounds

1. Write the structural formula of ethanol. What happens when it is heated with excess of conc. H2SO4 at

443 K? Write the chemical equation for the reaction stating the role of conc. H2SO4 in this reaction.

2. Distinguish between esterfication and saponification reaction with the help of the chemical equations for

each.State one use of each (i) esters, and (ii) saponification process.

3. Why are certain compounds called hydrocarbons? Write the general formula for homologous series of

alkanes, alkenes and alkynes and also draw the structure of the first member of each series. Write the

name of the reaction that converts alkenes into alkanes and also write a chemical equation to show the

necessary conditions for the reaction to occur.

4. Mention the essential material (chemicals) to prepare soap in the laboratory. Describe in brief the test of

determining the nature (acidic/alkaline) of the reaction mixture of saponification reaction.Write the

molecular formula of the 2nd

and the 3rd

member of the homologous series whose first member is methane.

5. Write three different chemical reactions showing the conversion of ethanoic acid to sodium ethanoate.

Write a balanced chemical equation in each case. Write the names of the reactants and the products other

than ethanoic acid and sodium ethanoate in each case.


6. A carbon compound 'P', on heating with excess conc. H2SO4, forms another carbon compound 'Q', which,

on addition of hydrogen in the presence of nickel catalyst, forms a saturated carbon compound 'R'. One

molecule of 'R', on combustion, forms two molecules of carbon dioxide and three molecules of water.

Identify P, Q and R and write chemical equations for the reactions involved.

7. For preparing soap in the laboratory, we require an oil and a base. Which of the following combinations of

an oil and a base would be best suited for the preparation of soap and why?

(a) Caster oil and calcium hydroxide

(b) Turpentine oil and sodium hydroxide

(c) Caster oil and sodium hydroxide

(d) Mustard oil and calcium hydroxide

8. What is the difference between the chemical composition of soaps and detergents? State in brief the action

of soaps in removing an oily spot from a shirt. Why are soaps not considered suitable for washing where

water is hard?

9. Explain isomerism. State any four characteristics of isomers. Draw the structures of possible isomers of

butane, C4H10

Chapter 5- Periodic classification of elements

1. What is periodicity? Write the number of periods and groups in the Modern Periodic Table. How does the

metallic character and electonegativity of elements vary on moving (i) from left to right in a period, and

(ii) down a group? Give reason to justify your answer.

2. Na, Mg and Al are the elements of the 3rd

period of the Modern Periodic Table having group number 1, 2

and 13 respectively. Which one of these elements has the (a) highest valency, (b) largest atomic radius, and

(c) maximum chemical reactivity? Justify your answer stating the reason for each.

3. (i) The modern periodic table has been evolved through the early attempts of Dobereiner, Newland and

Mendeleev. List one advantage and one limitation of all the three attempts.

(ii) Name the scientist who first of all showed that atomic number of an element is a more fundamental

property than its atomic mass.

(iii) Chlorine, bromine and iodine form a Dobereiner’s triad. The atomic masses of chlorine and iodine are

35.5 and 126.9 respectively. Predict the atomic mass of bromine.

4. An element X (2,8,2) combines separately with NO3- and (SO4)

2-, (PO4)

3- radicals. Write the formulae of

the three compounds so formed. To which group of the periodic table does the element ‘X’ belong? Will it

form covalent or ionic compound? Why?

5. The following table shows the position of six elements A, B, C, D, F and F in the periodic table.

Using the above table answer the following questions:

(i) Which element will form only covalent compounds?

(ii) Which element is a metal with valency 2?

(iii) Which element is a non-metal with valency of 3?

(iv) Out of D and B, which one has a bigger atomic radius and why?

(v) Write a common name for the family of elements C and F.


Rudrapur, Distt. Udham Singh Nagar, Uttarakhand ( India)

SOCIAL SCIENCE (CIVICS)

CHAP-1 (POWER SHARING)

1. Mention any four steps which were taken by the Sri Lankan government to achieve majoritarianism.

2. Explain the major forms of power sharing in modern democracies.

3. Illustrate the three elements of Belgium model of accommodation.

4. Describe the three demands of the Sri Lankan Tamils. How did they struggle for their independence?

Chap- 2 (federalism)

1. Mention any four features of federalism.

2. Explain two achievements and two difficulties of the local self government in India. Highlight the need for local

government.

3. India is a federal country. Explain by giving examples.

4. Explain the advantages of decentralization?

5. Explain any four provisions that have been made towards decentralization in India after the constitutional

amendment in 1992.

6. Why did the makers of our constitution declare India to be a union of states? Why were some sub-political units

of India given a special status?

Chap-3 (democracy and diversities)

1. Overlapping social differences create possibilities of deep social divisions and tensions. Explain.

2. Social divisions of one kind or another exist in most countries. Explain.

3. Analyze the reasons of social differences.

4. Distinguish between overlapping and cross cutting differences.

Chap-4 (gender, religion and caste)

1. State any four provisions of the Indian constitution which makes it a secular state.

2. Explain the different aspects of life in which women are discriminated in India.

3. Explain the various forms that communalism can take in politics.



4. Explain the role of caste in Indian politics.

5. What is the status of women representation in India’s legislative bodies?

Chap- 6(political parties)

1. What is political party? Name three components of political parties. Explain one party system, bi-party system

and multi-party system. What are the advantages of multi-party system?

2. When was the Indian national congress, BJP and BSP formed? Mention their ideology.

3. State any five functions of political parties? Explain.

4. State any five major challenges which the political parties’ face in present era?

5. How can political parties be reformed? Mention any five ways.

6. Explain any three reforms to strengthen the working of political parties.

Chap- 7 (outcomes of democracy)

1. Analyze any four areas on which democracy has failed.

2. Explain any three ways, how democracies accommodate social diversities.

3. How does democracy produce an accountable, responsive and legitimate government?

4. Democracies lead to peaceful and harmonious life among citizens? Support this statement with examples.

Chap-8 (challenges to democracy)

1. Discuss the broad challenges to democracy?

2. Mention some of the guidelines that can be kept in mind while dividing ways and means for political reforms in

India.

3. Mention some important qualifications for a democracy.



ECONOMICS CLASS-X

CHAPTER-1

ECONOMICS DEVELOPMENT

1. Why do different people have different goals for development?

2. Money cannot buy all the goods and services that one needs to live well. Explain.

3. In what respect is the criteria used by the UNDP for measuring development different from

the one used by the World Bank?

4. What is the average income? What is its importance? How is it calculated? Mention its

limitations related to development?

5. What is sustainable development? Explain the importance of sustainable development with

reference to groundwater by giving example.

CHAPTER-2

SECTORS OF THE INDIAN ECONOMY

1. Distinguish between the public and private sector.

2. Explain the objectives of implementing the NREGA-2005.

3. Why is the tertiary sector becoming so important in India? Give at least four reasons.

4. Suggest some ways which can be helpful in creating employment in rural areas.

5. Define the term unorganized sector? Mention any six disadvantages of working in this sector?

CHAPTER -3

ECONOMICS MONEY AND CREDIT

1. The rupee is widely accepted as a medium of exchange. Explain.

2. Distinguish between formal and informal credit resources.

3. What is the idea behind forming the Self Help Groups or the SHGs? Explain the functioning of

the SHGs?



4. Which government body supervises the functioning of formal sources of loans in India? Explain

the functioning.

CHAPTER-4

ECONOMICS GLOBALISATION AND THE INDIAN ECONOMY

1. The Indian government after independence has put many such barriers on foreign trade and

foreign investment. Why was this considered necessary?

2. How do multinational companies control production? Explain any three points.

3. Multinational corporations interlink production across countries. Explain by giving examples.

4. How does foreign trade play an important role in integrating the markets across the countries?

Explain.

5. Explain the three benefits of globalization?

CHAPTER-5

ECONOMICS CONSUMER RIGHTS

1. Explain the Right to seek redressal as a consumer right.

2. What is consumer exploitation? What are the various ways in which a consumer can be

exploited?

3. What is consumer movement? What factors gave birth to the consumer movement in India?

4. How is the consumer redressal process becoming cumbersome expensive and time

consuming? Give four reasons.



Name:______ GEOGRAPHY Class: X

CHAP-1 (Resources and Development)

1. Explain the role of humans in resource development?

2. India is rich in certain types of resources but deficit in some other resources. Support your answer with examples.

3. Explain the major factors which are responsible for the formation of soil?

4. Explain the three steps involved in the resource planning in India.

5. Explain the classification of resources on the basis of exhaustibility?

6. Which soil is called regur soil? Mention any four characteristics of this type of soil.

7. What is soil erosion? Explain the major types of soil erosions prevailing in India. Suggest three measures of soil

conservation.

CHAP-3 (Water Resources)

1. Explain the four reasons for the water scarcity of India.

2. Mention any four objective and disadvantages of multipurpose projects.

3. How has agriculture, industrialization and urbanization aggravated the problem of water scarcity in India?

4. Why are different water harvesting systems considered a viable alternative both socio-economically and environmentally

in a country like India?

CHAP-4(Agriculture)

1. Write any 5 points of difference between the commercial agriculture and subsistence agriculture & primitive subsistence

and intensive subsistence.

2. Describe the temperature and climatic conditions requires for the cultivation of sugarcane, cotton, tea, wheat and rice.

Name two leading producer of each.

3. Describe any four reforms brought in the Indian agriculture after independence through the efforts of the Indian

government.

4. Describe the geographical conditions required for the growth maize, pulses, rubber, coffee and jute. Name the leading

producer of each.

CHAP-5 (Minerals and Energy Resources)

1. What is the utility of manganese? Describe its distribution.

2. Why is there a need to conserve minerals?



3. Explain are the four types of coal?

4. What are the uses of petroleum?

5. Minerals are an indispensable part of our lives? Explain.

CHAP-6(Manufacturing industries)

1. What were the major objectives of the national jute policy 2005? Why has been the internal demand for jute on the

increase?

2. Why we are not able to perform to our potential in the production of iron and steel in India? Explain by giving the

reasons?

3. Agriculture and industry are not exclusive to each other. They move hand in hand. Explain.

4. The jute textile industry is mainly concentrated in the Hugli basin. Mention four factors for the same.

5. State any four challenges of the sugar industry.

6. Why is the iron and steel industry called a basic and heavy industry? Give reasons why the iron and steel industry in India

is concentrated around the Chhota Nagpur plateau region.

7. Discuss methods to prevent pollution caused by the industries.

CHAP-7(Lifelines of National Economy)

1. Explain why air transport is preferred in north-eastern states of India.

2. What are the major problems of Indian roads? What are the advantages of roads over railways?

3. Why are the railways so important?

4. State any three points regarding the importance of pipelines in transportation?

5. What is the importance of tourism?

6. Why is international trade is considered the economic barometers of a country?



Name: _____________ Subject: ENGLISH Class: X__ Important Questions Two Gentlemen of Verona

Q1. What do you understand by “Just plans, sir” Nicola said.

Q2. Appearances are deceptive. Discuss with reference to the two boys.

Q3. “We do many things, sir” Nicola answered seriously. What were the different things they would do & why?

Mrs. Packletide’s Tiger

Q4. Why did Mrs. Packletide wish to kill a tiger?

Q5. “The incidental expenses are so heavy,” she confides to inquiring friends. Who is the speaker? What is she

referring to here?

Q6. How does the writer create humor in the story?

The Letter

Q7. “Ali displays qualities of Love and patience”. Give evidence from the story to support the statement.

Q8. The postmaster says to Ali, “What a pest you are, brother!” Do you agree with the statement? Give reasons for

your answer.

Q9. “Tortured by doubt and remorse, he sat down in the glow of the charcoal sigri to wait.” Who is tortured by

doubt and remorse? Why? What is he waiting for?

Q10. Why had Helen, the ghost been helping the narrator write ghost stories? Why was she going on strike? What

condition did she place for providing continued help?

Q11. Why is John‟s wife angry? What does she decide to do?

Patol Babu, Film Star

Q12. What were the special touches that Patol Babu gave to his role to make it more authentic?

Q13. Who was Pakrashi? How do his words help Patol Babu in enacting his role?

Virtually True

Q14. Why did the news of the „miracle recovery‟ shock Michael?

Q15. Describe the first place where Michael was virtually transported.

Q16. How was Sebastian shutz‟s memory stored on Michael‟s disk? How did Michael discover that?

The Frog And The Nightingale

Q17. Bring out the irony in the Frog‟s statement „your song must be your own‟.

Q18. Do you think the nightingale is „brainless‟? Give reasons for your answer.

Not Marble, nor the Gilded Monuments

Q19. Why does the poet refer to time as being sluttish?

Ozymandias

Q20. “Look on my works, ye mighty, and despair!” Who is Ozymandias referring to when he speaks of ye mighty?

Why should they despair?

Q21. Bring out the irony in the poem.

Q22. „Nothing beside remains.‟ What does the narrator mean when he says these words?

Q23. “The hand that mocked them, and the heart that fed.” Whose hand and heart the poet referred to in this line?

‘The Rime of the Ancient Mariner’

Q24. How and why did the Mariner stop the wedding guest?

Q25. How do we know that the albatross was not afraid of the humans? Why did the sailors hail it in God‟s name?

Q26. What was the terrible deed done by the Mariner? Why do you think he did it?

Snake

Q27. The poet has a dual attitude towards the snake. Why does he experience conflicting emotions on seeing the

snake?

Q28. „I have something to expiate‟ Explain?



The Dear Departed

Q29. What change does grandfather make in his new will? What effect does it have on his daughters?

Q30. What are the three things that grandfather plans to do on Monday next?

Q31. Bring out the irony in the title of the play.

Julius Caesar

Q32. How do the heavens „blaze forth‟ the death of Julius Caesar?

Q33. What does Calpurnia dream about Caesar? How does Decius Brutus interpret the dream?

Q34. What prediction does Antony make regarding the future events in Rome?

Q35. Why is Antony‟s speech more effective?

The Story of My Life

Q36. Theme of the story.

Q37. Characters Helen, Miss Sullivan, Alexander Graham Bell.

Q38. Helen‟s childhood.

Q39. Helen‟s contribution to society.

Q40. Helen‟s family Background. WRITING SECTION: (a)Letter s- (editorial, placing an order, complaint, other formal letters) (b)Story writing- (title, story and moral.) (a)Article writing- (environment, health, sports, education, social problems, science and technology). GRAMMAR: (a)Gap filling- (article, prepositions, verb, active passive voice and narration) (b)Re-ordering of words. (c)Editing and omission . READING: Passage for comprehension



Name: ______ Class: X (Time- 1:00)

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jgk gksxk \

4½ usrkth dh ewfrZ dk o.kZu vius “kCnksa esa dhft,A

5½ usrkth dh ewfrZ yxkus ds dk;Z dks lQy vkSj ljkguh; iz;kl D;ksa dgk x;k \

6½ dSIVu dkSu Fkk \ mls dkSu &lh ckr vkgr djrh Fkh \

ikB& 2 ckyxksfcu Hkxr

1½ ckyxksfcu Hkxr viuh fdu fo”ks’krkvksa ds dkj.k lk/kq dgykrs Fks \

2½ ckyxksfcu Hkxr dh iq=o/kw dh dkSUk &lh bPNk Fkh ftls os iwjk ugha dj ik, \

3½ ckyxksfcu Hkxr us lekt&lq/kkjd dh rjg dkSu ls dk;Z fd, \

4½ xfeZ;ksa ds fnuksa esa ckyxksfcu Hkxr ds laxhr dks lqudj yksxksa esa D;k izHkko iMrk Fkk \

5½ ckyxksfcu Hkxr gj o’kZ xaxk rV ij D;ksa tkrs Fks \

6½ ys[kd dks ckyxksfcu Hkxr dk laxhr iks[kjs ij dSls ys x;k \

ikB& 3 y[kuoh vankt

1½ ys[kd dks fdu&fdu gko&Hkkoksa ls eglwl gqvk fd uokc lkgc muls ckrphr djus ds fy, rfud Hkh mRlqd ugha Fks

\

2½ ys[kd us D;k lkspdj lsdaM Dykl dk fVdV fy;k Fkk \

3½ uokc lkgc dh vlqfo/kk vkSj ladksp dk dkj.k D;k Fkk \

4½ uokc lkgc us xoZ ls xqykch vkW[kksa }kjk ys[kd dh rjQ D;ksa ns[kk \

5½ ys[kd ds eqWg esa ikuh vkus ij Hkh mUgksaus [khjk [kkus ls budkj D;ksa fd;k \

6½ uokc lkgc lekt ds fdl oxZ dk izfrfuf/kRo djrs gSa \



ikB& 4 ekuoh; d:.kk dh fnO; ped

1½ Qknj dh mifLFkfr nsonkj dh Nk;k tSlh D;ksa yxrh Fkh \

2½ Qknj cqYds dk fgUnh izse fdu ckrksa ls fl) gksrk gS \

3½ ys[kd us Qknj cqYds dks ekuoh; d:.kk dh fnO; ped D;ksa dgk gS \

4½ Qknj dh eR̀;q fdl jksx ds dkj.k gq;h \ ys[kd us bl laca/k esa D;k dgk \

5½ Qknj cqYds dks tUeHkwfe dgkW Fkh \ tUeHkwfe ds izfr muds yxko dks fyf[k,

6½ jkedFkk ds lanHkZ esa Qknj cqYds dks D;ksa ;kn fd;k tkrk gS \

7½ ifjey dk mYys[k ys[kd us D;ksa fd;k \



Name : __________________ Subject : Hindi Class : X

ikB& 5 & ,d dgkuh ;g Hkh

1½ ysf[kdk eUuw HkaMkjh viuh ekW dks viuk vkn”kZ D;ksa ugha cuk ldh \

2½ ysf[kdk eUuw HkaMkjh ds O;fDrRo ij fdu O;fDr;ksa dk fdl :Ik esa izHkko iMk \

3½ iMksl dYpj dk lekIr gksuk fdl rjg lekt ds fy, ?kkrd fl) gks jgk gS \

4½ eUuw HkaMkjh us ,d dgkuh ;g Hkh ikB ds }kjk fdu thou ewY;ksa dh vksj ladsr fd;k gS\

5½ “khyk vxzoky tSlh v/;kfidkvksa dh vkt lekt dks D;ksa vko”;drk gS\

6½ eUuw HkaMkjh us dkSu ls ys[kdksa ds dkSu &dkSu ls miU;kl i<s \

7½ eUuw HkaMkjh dh vkjafHkd dgkfu;ksa ds ik= muds iMkslh D;ksa gS \

8½ fof”k’V cuus vkSj cukus dh izcy ykylk }kjk ysf[kdk us vius firk dh fdl ekuoh; nqcZyrk

dh vksj ladsr fd;k gS\

ikB& 6 ukScr[kkus esa bcknr

1½ “kgukbZ dh nqfu;k esa MqejkWo dks D;ksa ;kn fd;k tkrk gS \

2½ “kgukbZ dh eaxy /ofu dk uk;d fdls dgk gS vkSj D;ksa \

3½ lqf’kj ok|ksa ls D;k vfHkizk; gS \ “kgukbZ dks lqf’kj ok|ksa esa “kkg dh mikf/k D;ksa nh gS \

4½ dk”kh esa gks jgs dkSu ls ifjorZu fcfLeYyk [kkW dks O;fFkr djrs Fks \

5½ fcfLeYyk [kkW dks xaxk &tequh laLdf̀r dk izrhd D;ksa ekuk tkrk gS \

6½ [kkW lkgc viuh iz”kalk fdls lefiZr djrs gSa vkSj fdl izdkj \

7½ dk”kh esa ladV ekspu eafnj dgkW fLFkr gS rFkk ogkW D;k&D;k gksrk gS \

8½ veh:}hu dkSu Fks \ muds eu esa laxhr dh o.kZekyk fdlus mdsjh

dkO; [k.M ikB & 1 lwjnkl ds in

1½ xksfi;ksa }kjk m)o dks HkkX;oku dgus esa D;k O;aX; fufgr gS \

2½ xksfi;ksa us fdu mnkgj.kksa }kjk m)o dks mykgus fn, \

3½ m)o }kjk fn, x, ;ksx ds lans”k us xksfi;ksa dh fojgkfXu esa ?kh dk dke dSls fd;k \

4½ xksfi;ksa ds vuqlkj jkt/keZ D;k gksuk pkfg, \

5½ xksfi;ksa us Jhd`’.k dks vius eu esa fdl izdkj clk;k gS \

6½ gkfjy i{kh dh D;k fo”ks’krk,W gksrh gSa \

7½ lwjnkl us e/kqdj “kCn dk iz;ksx fdlds fy, fd;k gS \

8½ xksfi;kW ;ksx dks D;ksa ilan ugha djrh Fkh \ mUgksus ;ksx dks fdlds leku crk;k \

ikB& 2 jke& y{e.k ij”kqjke laokn

1½ y{e.k us /kuq’k ds VwV tkus ij dkSu &dkSu ls rdZ fn, \

2½ ij”kqjke us viuh dkSu&dkSu lh fo”ks’krkvksa dk c[kku fd;k \



3½ y{e.k dkSu Fks \ mudk ij”kqjke th ls fookn D;ksa gqvk \

4½ ij”kqjke dh fdu mfDr;ksa }kjk vlekurk vkSj fojks/kkHkkl izdV gksrk gS \

5½ jke vkSj y{e.k dh pkfjf=d fOk”ks’krk,W fyf[k, \

6½ dkSfld dgdj ij”kqjke fdls lacksf/kr dj jgs Fks \dkSfld dk jke& y{e.k ls D;k laca/k Fkk \

7½ rqylh ds dkO; dh pkj fo”ks’krk,W fyf[k, \

8½ j?kqdqy dh D;k fo”ks’krk Fkh \

ikB& 3 mRlkg rFkk vV ugha jgh gS

1½ dfo ckny ls Qqgkj fjef>e ;k cjlus ds LFkku ij xjtus ds fy, D;ksa dgrk gS \

2½ mRlkg dfork esa ckny fdu&fdu vFkksZ dh vksj ladsr djrk gS \

3½ cknyksa ds fy, uothou fo”ks’k.k dk iz;ksx fdl lanHkZ esa fd;k x;k gS \

4½ mRlkg dfork esa dfo us ubZ dfork djus okys dfo;ksa ds fy, fdl lacks/ku dk iz;ksx fd;k gS

\

5½ dfo lw;Zdkar fujkyk us Qkxqu dh O;kidrk dk o.kZu fdl izdkj fd;k gS \

6½ vV ugha jgh dfork esa “kksHkk &Jh “kCn dk iz;ksx fdl lanHkZ esa fd;k gS \

7½ Qkxqu dh lqanjrk ekuo eu dks fdl izdkj izHkkfor djrh gS \

8½ dfo us cknyksa dks vuar ds ?ku D;ksa dgk gS \

ikB& 4 ;g narqfjr eqldku rFkk Qly

1½ cPps dh eqldku dks dfo us narqfjr eqldku D;ksa dgk \ dfo ds eu ij bldk D;k izHkko

iMrk gS \

2½ cPps dh eqldku ds lkSan;Z dks fdu &fdu fcEcksa ds ek/;e ls O;Dr fd;k gS \

3½ dfo us ekW rFkk cPPks nksuksa dks /kU; D;ksa dgk \

4½ dfo us Lo;a ds fy, brj vfrfFk vkSj izoklh D;ksa dgk \

5½ Qly feVVh dk xq.k&/keZ dSls gS \

6½ Qly dks euq’; ds gkFkksa dh xfjek rFkk efgek D;ksa dgk gS \

7½ feVVh ds xq.k&/keZ dks u’V djus okys dkjdksa dk mYYks[k djrs gq, feVVh dh moZjrk dks

cuk, j[kus ds fy, vius lq>ko nhft, A

8½ cPps dk /kwy ls lus vax ns[kdj dfo dks D;k yxrk Fkk \

ikB& 5 Nk;k er Nwuk

1½ dfo us dfBu ;FkkFkZ ds iwtu dh ckr D;ksa dgh gS \

2½ Nk;k ls dfo dk D;k vfHkizk; gS \ dfo Nk;k dks Nwus ls euk D;ksa djrk gS \

3½ ex̀r’̀.kk fdls dgk x;k gS \dfork esa bldk iz;ksx D;k crkus ds fy, fd;k x;k gS \

4½ “kjn +_rq vkSj olar _rq dk mYys[k dfo us D;ksa fd;k gS \

5½ nqfo/kk gr lkgl gS fn[krk gS iaFk ugha &iafDr }kjk dfo us fdl nqfo/kk dh vksj ladsr fd;k

gS\

6½ lqjax&lqf/k;kW thou dks fdl izdkj izHkkfor djrh gSa\



7½ Nk;k er Nwuk dfork esa O;Dr nq[k ds dkj.kksa dks Li’V dhft, A

8½ gj pafnzdk esa fNih ,d jkr d’̀.kk gS & }kjk dfo thou dh fdl lPpkbZ dks O;Dr djrk gS \



Name : __________________ Subject : Hindi Class : X

ikB& dU;knku &

1½ dU;knku dfork esa ekW ds nq[k dks izekf.kd D;ksa crk;k \

2½ ekW us viuh csVh dks vafre iwWth D;ksa dgk \

3½ dU;knku dfork esa lekt dh fdu dqjhfr;ksa dh ekfeZd vfHkO;fDr gqbZ gS \

4½ oL= vkSj vkHkw’k.kksa dks L+=h&thou ds fy, ca/ku D;ksa ekuk x;k gS \

5½ dU;knku dfork esa yMdh dks nq[k ckWpuk D;ksa ugha vkrk \

6½ dU;knku dfork esa L=h ds fy, D;k lans”k fNik gS \

7½ ekW us csVh dks fonk djrs le; D;k&D;k f”k{kk nh \

8½ yMdh vHkh l;kuh ugha Fkh &esa ekW dh fpUrk D;k Fkh \

9½ yMdh dks /kqW/kys izdk”k rFkk dqN y;c) iafDr;ksa dh gh ikfBdk D;ksa crk;k x;k \

10½ ekW us ,slk D;ksa dgk fd yMdh gksuk ij yMdh tSlh er fn[kkbZ nsuk \

ikB& laxrdkj

1½ laxrdkj dfork }kjk dfo dSls O;fDr;ksa dh vksj ladsr dj jgk gS \

2½ laxrdkj tSls O;fDr laxhr ds vykok vkSj fdu&fdu {ks=ksa esa fn[kkbZ nsrs gSa \

3½ laxrdkj fdu&fdu :iksa esa eq[;xk;d dks lWHkkyrk gS \

4½ LFkk;h ls D;k vfHkizk; gS \

5½ lIrd fdls dgrs gS \ lIrd fdrus izdkj ds gksrs gS \

6½ varjs dks tfVy rkuksa dk taxy D;ksa dgk \

7½ rkjlIrd ls D;k vfHkizk; gS\

8½ laxrdkj dh nch gqbZ vkokt mldh foQyrk ugha cfYd euq’;rk gS \

df̀rdk ikB& 1 ekrk dk vWapy

1½ ys[kd dks cpiu esa vius firk ls xgjk yxko Fkk \ og muds lkFk dkSu& dkSu ls [ksy [ksyrk Fkk \

2½ ekrk dk vWpy ikB esa cky&lqyHk Hkksysiu vkSj ljyrk dks dSls fpf=r fd;k x;k gS \ dksbZ rhu

mnkgj.k nhft, A

3½ ekrk dk vWpy ikB esa rhl ds n”kd dh xkzE;& laLdf̀r dk fp=.k fd;k x;k gS A vkt dh xzkeh.k

laLdf̀r esa vkidks fdl rjg ds ifjorZu fn[kkbZ nsrs gSa \

4½ ekrk dk vWpy ikB esa cpiu dh tks nqfu;k jph xbZ Fkh og vkids cpiu ls fdl izdkj fHkUu gS \

5½ ys[kd ds firk dk cPPkksa ds lkFk [k sy esa “kkfey gksuk D;k n”kkZrk gS



ikB&2 tktZ iape dh ukd

1½ tktZ iape dh ykV dh ukd dks iqu% yxkus ds fy, ewfrZdkj us D;k&D;k ;Ru fd;k \

2½ ubZ fnYyh esa lc dqN Fkk &&&& flQZ ukd ugha Fkh A bl dFku ds ek/;e ls ys[kd D;k dguk

Pkkgrk gS \

3½ ljdkjh ra= esa tkWtZ iape dh ukd dks ysdj tks cngoklh fn[kkbZ nsrh gS og mudh fdl ekufldrk

dks n”kkZrh gS \

4½ ukd eku&lEeku dh |ksrd gksrh gS ;g ckr iwjh O;aX; jpuk esa fdl izdkj mHkjdj vk;h gS \

5½ tktZ iape dh ykV dh ukd dks yxkus ds fy, ewfrZdkj us D;k& D;k ;Ru fd, \

ikB& 3 lkuk&lkuk gkFk tksfM

1½ fdruk de ysdj ;s lekt dks fdruk vf/kd okil ykSVk nsrh gSa lkuk&lkuk gkFk tksfM ikB ds bl

dFku esa fufgr thouewY;ksa dks Li’V dhft, vkSj crkb, fd ns”k dh izxfr esa ukxfjdksa dh D;k Hkwfedk

gS \

2½ lSykfu;ksa dks izd`fr dh vykSfdd NVk dk vuqHko djokus esa fdu&fdu yksxksa dk ;ksxnku gksrk gS \

mYys[k djsa A

3½ f>yfeykrs flrkjksa dh jks”kuh esa ugk;k xarksd ysf[kdk dks fdl izdkj lEeksfgr dj jgk Fkk \

4½ yksax &LVkWd esa ?kwers pdz dks ns[kdj ys[kd dks Hkkjr dh vkRek ,d leku D;ksa yx jgh Fkh \

5½ ns”k dh lhek ij cSBs QkSth fdl rjg dh leL;kvksa ls tw>rs gSa \ muds izfr gekjk D;k nkf;Ro gksuk

Pkkfg, \



Name:- _____________ Subject:- Mathematics Class:- X (A & B)

Chapter-1 : Real Numbers

1. Write whether every positive integer can be of the form 4q + 2, where q is an integer. Justify your answer.

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

4. Without actually performing the long division, find 13/ 5200 will have terminating or non-terminating

(repeating) decimal expansion.

5. Prove that if x and y are both odd positive integers, then x2 + y

2 is even but not divisible by 4.

6. Using Euclid’s division algorithm, find the largest number that divides 1251, 9377 and 15628 leaving

remainders 1, 2 and 3, respectively.

7. 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?

8. If HCF of 210 and 55 is in the form 210x + 55y, find value of x and y.

9. Find the greatest number which divides 2011 and 2623 leaving remainder 9 and 5 respectively.

10. If the product of two numbers is 2600 and HCF is 2, then find the LCM.

11. Prove that 2 5 - 3 is irrational.

12. Prove that 5 + 7 is irrational.

13. 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.

14. Show that one and only one out of n, n + 2 or , n + 4 is divisible by 3, where n is any positive integer.

15. Show that square of any odd positive integer either in the form of 3m or 3m + 1 for some positive integer m.

16. Without actually performing the long division, find 13/ 5200 will have terminating or non-terminating

(repeating) decimal expansion. Give reasons for your answer.

Chapter-2 : Polynomials

17. Find the zeroes of the p(x) = 6x2 - 5x - 1 and verify the relations between the zeroes and

coefficients.

18. If 𝛼 and 𝛽 are the zeroes of the quadratic polynomial 25x2 + 25x + 5, then find the value of

1

α2+

1

β2 .

19. (i) If the polynomial 6x4 + 8x

3 – 5x

2 + ax + b is exactly divisible by the polynomial 2x

2 – 5, then

find the values of a and b.

(ii) Find the all zeroes of 2x4 - 3x

3 – 3x

2 + 6x -2, if you know that two of its zeroes are 2 and - 2 .

Chapter-3 : Pair of Linear Equation in two variable

20. For what value of k will the following pair of linear equations have infinitely many solution: 2x + 3y = 4 and

(k + 2) x + 6y = 3k + 2

21. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km

downstream in 61

2 hours. Find the speed of boat in still water and also the speed of the speed of the stream.



22. Solve: ( a - b) x + ( a + b ) y = 𝑎2- 2ab - 𝑏2 , ( a + b) ( x +y ) = 𝑎2+ 𝑏2

23. A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an

additional charge for each day thereafter. Latika paid Rs 22 for a book kept for six days, while Anand paid Rs

16 for the book kept for four days. Find the fixed charges and the charge for each extra day.

24. Draw the graph of the pair of liner 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.

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

ticket. One reserved first class ticket from station P to station Q costs Rs 2240. Also, one reserved first class

ticket station P to station Q and also, the reservation charges for a ticket

Chapter-4 : Quadratic Equations

26. Find the values of k,if equation 4 𝑥2- kx + 4 = 0 has equal and real roots.

27.If x = 3 is one root of the quadratic equation x2 – 2 k x – 6 = 0, then find the value of k

28 . A swimming pool is filled with three taps with uniform flow of water. The first two taps operating

simultaneously fill the pool in the same time during which the pool is filled by the third tap alone. The second

tap fills the pool 5 hours faster than the first tap and 4 hours slower than the third tap. Find the time required by

each tap to fill the pool separately

29. If the roots of the quadratic equation p(q – r)x2 + q(r – p)x + r(p – q) = 0 are equal, show that

1

p+

1

r=

2

q .

30. Solve the following quadratic equations using factorization method.

4𝑥2 + 4𝑏2𝑥 – ( 𝑎4 - 𝑏4) = 0

31. Solve for x : 2x

x − 3+

1

2x + 3+

3x + 9

x − 3 (2x + 3)= 0; x ≠ 3,

−3

2

32. Using quadratic formula, solve the following quadratic equation for x: p2x

2+ (p

2 – q

2) x – q

2 = 0

Chapter-5 : A.P

1. In an A.P., the first term is 25, nth term is 17 − and the sum to first n terms is 60, find n and d.

2. The sum of the first n terms of an A.P. is given by Sn = 3n2 – n. Determine the A.P and its 25

th term.

3. In an A.P., if the common difference is -4 and the seventh term is 4, then find the first term.

4. Which term of the AP: 3, 10, 17, ….will be 84 more than its 13th term

5. How many terms of the AP: 9, 6, 3, 0, – 3, … will be needed to give the sum (–216).

6. Show that a1, a2, a3, …, an … form an AP where an is defined as: an = 9 – 5n. Also find the sum of the first 15

terms.

7. Find the 10th

term from the end of AP: 4, 9, 14, …., 254.

8. Is 0 a term of the AP: 31, 28, 25, …? Justify your answer.



Chapter-6 : Triangles

1. Prove that the square of the hypotenuse is equal to the sum of the square of the other two sides in

right triangle

2. In ∆ABC, D and E are points AC and BC respectively such that DE || AB. If AD = 2x, BE = 2x – 1, CD = x + 1

and CE = x – 1, then find the value of x.

3. Let ∆ABC ~ ∆DEF and their area be respectively , 64 𝑐𝑚2 and 121 𝑐𝑚2. If BC = 11.2 cm, find EF.

4. In ∆ABC, if AD is the median, then show that AB2 + AC

2 = 2 (AD

2 + BD

2).

5. In the figure, ABCD is a parallelogram BE intersects AC in L, CD in M which is mid point and AD produced in

E. Prove that EL = 2 BL.

6. In the given figure ,two chords AB and CD intersect each other at point P. Prove that :

(i) ∆PAC ~ ∆DPC (ii) AP. PB = CP. DP A D

P P

C C D



7. In the given figure, DE || AC and DC || AP. Prove that BE

EC=

BC

CP .

8. If the area of two similar triangles is in the ratio 25 : 64, then find the ratio of their corresponding sides.

9. If the area of two similar triangles are equal, then prove that they are congruent.

10. In ∆ABC, D and E are two points on AB such that AD = BE. If DP || BC and EQ || AC, then prove that

PQ || AB.

11. ABC is right angled triangle at C . If BC = a, CA = b, AB = c and p is perpendicular from C on AB

then prove that (i) p = 𝑎𝑏

𝑐 (ii)

1

𝑝2 = 1

𝑎2 + 1

𝑏2

Chapter-7 : Coordinate Geometry

1.If the points A(1, 2), B(0, 0) and C(a, b) are collinear, then find the relationship between a and b.

2. If A and B are (-2, -2) and (2, -4) respectively. Find the coordinates of P such that AP = 3

7 AB.

3.Find the value of x such that PQ = QR, where the coordinates of p, Q and R are (6, -1), (1, 3) and (x, 8)

respectively.

4. If P(a/3, 4) is the midpoint of the line segment joining the point Q (-6, 5) and R (-2, 3); then find the value of a.

5. In what ratio is the join (4,3) and (2,– 6) divided by the X-axis? Also, find the coordinates of the point of

intersection.

6. If (a , b) is the mid-point of the line segment joining the points A(10, – 6) and B(k, 4) and a – 2b = 18, then

find the value of k and the distance AB.

7 .Find the value of k, if the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k – 1, 5k) are collinear.



Chapter-8 : Introduction to Trigonometry

1. Find the value of sec𝜃cosec(90-𝜃)- cot(90-𝜃)tan𝜃

2. In given figure, find cotR – tanP

P

12 cm

Q 5 cm R

. Evaluate : 2 sin 68°

cos 22° -

2 cot 15°

2tan 75° -

3 tan 2 45 𝑡𝑎𝑛 20° tan 40° tan 500 tan 700

5.

3. Find 𝜃 if tan3 𝜃 = cot(𝜃 + 14),where 3 𝜃 is acute angle.

4. Prove that 2 + tan2 𝜃 + 1

𝑡𝑎𝑛 2𝜃 =

1

𝑠𝑖𝑛 2𝜃− 𝑠𝑖𝑛 4𝜃

5. Prove that: 1 + sec θ – tan θ

1 + sec θ + tan θ= sec θ − tan θ =

1−sin θ

cos θ

6. Prove that : tan θ

1 − cot θ+

cot θ

1 − tan θ = 1 + sec θ cosec θ.

Chapter-9 : Application of Trigonometry

1. The angles of depression of the top and bottom of a 7m tall building from the top of a tower are 45o and 60

o

respectively. Find the height of the tower.

2. The angle of elevation of top of hill at the foot of the tower is 60o

and the angle of elevation of top of tower

from the foot of the hill is 30°. If the tower is 50m height. What is the height of hill?

3. The angle of elevation of the top of a tower from a point on the ground is 30o. After walking 30 m towards the

tower, the angle of elevation becomes 60o. What is the height of the tower?

4. Two poles of equal heights are standing opposite to each other on either side of a road, which is 100 m wide.

From a point between them on the road the angles of elevation of their tops are 30o and 60

o. Find the position of

the point and heights of the poles.

5. At a point on the level ground the angle of elevation of a vertical tower is found to be such that its tangent is

5

12on walking 192 m towards the tower, the tangent of angle of elevation is

3

4 .Find the height of the tower.



6. The angle of elevation of a cloud from a point 400 m above a lake is 30o and the angle of depression of its

reflection in the lake is 60o. Find the height of cloud.

7. The angle of elevation of a jet fighter from a point A on the ground is 60o. After 15 seconds of flight the angle

of elevation changes to 30o. If the jet is flying at a height of 1500 3 . Find the speed of jet in km/hr.

8. From a window 60m high above the ground of a house in street the angle of elevation and depression of the top

and foot of another house on opposite side of street are 60o and 45

o respectively. Show that height of opposite

house is 60 (1 + 3 )m.

9. The upper part of the tree is broken by a wind and makes an angle of 30o with the ground. The distance from the

root to the point where top of tree is 10 m. Find the height of tree.

10. The angles of elevation of top of a rock from the top and foot of a 100 m high tower respectively 30o and 45

o.

Find the height of rock.

Chapter-10 : Circles

1. PA and PB are two tangents drawn from an external point P to a circle with centre O. If AP = 16 cm, find the

perimeter of ∆PCD.

2. Out of the two concentric circles, the radius of the outer circle is 5 cm and the chord AC of length 8 cm is a

tangent to the inner circle. Find the radius of the inner circle.

3.. Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact

4. Prove that tangents drawn from external point to a circle are equal in length

5. If a hexagon ABCDEF circumscribes a circle, prove that AB + CD + EF = BC + DE + FA.

Chapter-11 : Constructions

1. To construct a triangle similar to given triangle ABC with its sides 4

5 of the corresponding sides of ∆ABC, draw

a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. What

should be the minimum number of points to be located at equal distances on ray BX?

2. Draw a triangle ABC in which AB = 4 cm, BC = 6 cm and AC = 9 cm. Construct a triangle similar to ∆ABC

with scale factor 3

2 . Justify the construction. Are the two triangles congruent? Note that all the three angles and



two sides of the two triangles are equal.

3.Draw a pair of tangents to a circle of radius 5 cm that are inclined to each other at an angel of 60o.

4. Construct a pair of tangenst to a circle of radius 4 cm from a point on the concentric circle of radius5.6 cm and

measure its length. Also, verify the measurements by actual calculations

Chapter-12 : Area Related to Circles

1. Find the ratio of the area of the semicircle formed on the diagonal of a square of side 14 cm to that of the

semicircle formed on the side of the square.

2. The area of an equilateral triangle ABC is 17320.5 cm2. With each vertex of the triangle as centre, a circle is

drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region.

(Use π = 3.14 and 3 = 1.73205)

3. Find the radius of a circle whose circumference is equal to the sum of the circumference of two circles of

diameter 36 cm and 20 cm.

4. If perimeter of a circle is numerically equal to twice the area, then what is the radius of the circle?

5. In the given figures, PQR is a right-angled triangle right-angled at P. Semicircles are drawn with PQ, PR and

QR as diameters. If PQ = 6 cm and PR = 8 cm, find the area of the shaded region.

Chapter-13 : Surface Area and Volumes

1. A wooden toy rocket is in the shape of a cone, as shown in figure. The height of the conical part is 12 cm. The

base of the conical portion has a diameter of 10 cm. If the conical portion is to be painted red and the base portion

green, find the area of the rocket to be painted. (Use 𝜋 = 3.14)

2. Water is pumped from a cuboidal tank of dimension 4 m × 3 m × 2 m to an overhead tank in the shape of

cylinder. The overhead tank has radius 60 cm and height 80 cm. Find the height of water left in the cuboidal tank

after the overhead tank has been completely filled with water from the cuboidal tank.



3. The dimensions of a room are 8 m × 6 m × h m. It has two doors each of size 2 m × 1 m and on almirah of size

3 m × 2 m. The cost of covering the walls by wallpaper which is 40 cm wide at Rs 1.25 per m is Rs362.50. Find

the height of the room.

4. A solid cube is cut into 27 small cubes of equal volume. Find the ratio of the surface areas of the given cube and

that of one small cube.

5. The height of a solid cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its

volume be 1/27 times of the volume of the given cone, at what height above the base is the section made and also

find the volume and surface area of remaining solid.

Chapter-14 : Statistics

1. Draw more than ogive for the following frequency distribution :

Marks 10-20 20-30 30-40 40-

50

50-60 60-70 70-80 80-90 90-100

Number

of

students

5 4 3 3 4 7 9 7 8

Also find the median of the marks obtained by the students in the Mathematics examination from

the graph of ogive

2. Find the median and mode of the following frequency distribution :

Marks 10-20 20-30 30-40 40-

50

50-60 60-70 70-80 80-90 90-100

Number

of

students

5 4 3 3 4 7 9 6 8

3. If the mean of the following data is 20.6, find the missing frequency (x).

x f

10

15

20

25

35

3

10

x

7

5



Chapter-15 : Probability

1. Two dices are drawn together. Find the probability that the sum of the digits showing on the top faces of the

dice is less than 5.

2. A card is drawn at random from a pack of well shuffled deck of playing cards. Find the probability that the card

is: (a) a king or a jack. (b) a card of spade or an ace.

3.Two dices are drawn together. Find the probability that the sum of the digits showing on the top faces of the dice

is less than 5.

4.At a fete, cards bearing numbers 1 to 1000, one number on one card are put in a box. Each player select one card

at random and that card is not replaced. If the selected card has perfect square greater than 500, the player wins a

prize. What is the probability that (i) the first player wins a prize? (ii) second player wins a prize, if the first player

has won?

5. A box contains cards numbered 11 to 123. A card is drawn at random from the box. Find the probability that

the number on the drawn card is (i) a square number (ii) a multiple of 7.

6. A game has 8 triangles of which 6 are blue and rest are green, 12 rectangles of which 3 are green and rest are

blue, and 10 rhombuses of which 3 are blue and rest are green. One piece is lost at random. Find the probability

that it is (i) a rectangle (ii) a triangle of green colour (iii) a rhombus of blue colour.

7. Find the probability of 53ed

Tuesday in a leap year and in a non leap year.

8. Two dice are thrown simultaneously. What is the probability that

(i) 5 will not come up on either of them?

(ii) 5 will come up on at least one?

(iii) 5 will come up at both dice?

9. A pair of die is thrown. Find the probability of getting a sum of numbers which is a perfect cue and divisible by

3.

10. The probability that two friends have birthday same day is 0.008. Find the probability that they have birthday

on different day.

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