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Students can Download Karnataka SSLC Social Science Model Question Paper 2 with Answers, Karnataka SSLC Social Science Model Question Papers with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka State Syllabus SSLC Social Science Model Question Paper 2 with Answers

Time: 3 Hours
Maximum Marks: 80

I. four alternatives are given for each of the following questions / incomplete statements. Only one of them is correct or most appropriate. Choose the correct alternative and write the complete answer along with its letter of alphabet in your arts wer booklet. (8 ×1 = 8)

Question 1.
Which battle the British as real holders of power over Bengal, Bihar and Odisha?
A. Battle of plassey
B. Battle of Buxar
C. First Carnatic war
D. Third Carnatic war
Answer:
B. Battle of Buxar

Question 2.
The belief of Aryan supremacy gave rise to
A. Fascism
B. Nazism
C. Socialism
D. Communalism
Answer:
B. Nazism

Question 3.
India adopted ‘Disarmament’ as a basic aspect of it Foreign policy because
A. India is worried that massive scale of arms could lead to Third World War
B. India is a peace loving country
C. India cannot produce arms
D. India fears accidently triggering nuclear destruction
Answer:
B. India is a peace loving country

Question 4.
The state in which ‘Silent valley movement’ started is
A. Karnataka
B. Gujarat
C. Maharastra
D. Kerala
Answer:
D. Kerala

Question 5.
Specialization creates
A. Organised labour
B. Unorganised Labour
C. Class system
D. Division of labour
Answer:
D. Division of labour

Question 6.
The cause of change in the course of rivers is
A. Floods
B. Dams
C. Low ground water level
D. Silting
Answer:
D. Silting

Question 7.
The prime reason for Rural backwardness is
A. Illiteracy
B. Poverty
C. Slow growth rate of agriculture
D. Competition from industries
Answer:
C. Slow growth rate of agriculture

Question 8.
The indiscriminate exploitation of natural resources of a country is due to
A. Industrialization
B. Population explotion
C. Globalization
D. Consumerism
Answer:
C. Globalization

II. Answer the following questions in a sentence each: (8 × 1 = 8)

Question 9.
According to which land tax system of the British, the farmer was directly linked to East India Company?
Answer:
Ryotwari system

Question 10.
Which incident started the Second World War?
Answer:
Germany’s occupation of Poland on September 01, 1939.

Question 11.
Give one instance of the cordial relationship between India and Russia.
Answer:
Russia has extended its support to India’s quest for permanent seat in the UN security council.

Question 12.
When and where was the first labour union established?
Answer:
‘The international working men’s association’ was the first labour union established in London in the year 1864.

Question 13.
Which industry is the basis of all other industries.
Answer:
Iron and steel industry.

Question 14.
How is density of population different from size of population?
Answer:
Size of population: The total number of people living in a particular area is called the size of population.

Density of population: The number of people per sqkm is called density of population.

Question 15.
When the lending rate of interest by banks increases drastically creating lower credit creation in the economy. What step does RBI take to create credit?
Answer:
It varies the Repo rate.

Question 16.
Per captia income is used as indicator of development instead of national income. Why.
Answer:

• Comparison of economic development between countries with different levels of population is incorrect.
• Higher the population, slower the increase in national Income.

III. Answer the following questions in three to four sentences each : (8 × 2 = 16)

Question 17.
What were the main aspects in the declaration of the British Queen?
The Queen of Britain passed a declaration in 1858. It had the following aspects :
Answer:

• The agreements entered by the company with the local Kings were accepted.
• Non – pursuance of regional expansion.
• Providing a stable government for Indians
• Equality before the law
• Non-interference of the government in religious issues of Indians and practicing religious tolerance.

Question 18.
How did the Labour Party in England try to find solutions for the political problems of India just before Independence?
Answer:

• The Labour party government seat a cabinet committee to India for disscustion on giving self – rule rights with INC and Muslim League.
• It recommeded for a federal form of government.
• It suggested them to form an interim government.
• It suggested to form a consituent assembley to formulate constitution.

Question 19.
What was India’s contribution in alleviation of economic inequality among third – world countries?
Answer:

• India followed Non – Aligned policy.
• India urged developed countries to provide assistance to developing countries without conditions.
• India helped to chanUalize monetary help to the third – world countries.

OR

How did independent India help solve Bangladesh Crisis?
Answer:

• India helped the liberation of Bangladesh from Pakistan.
• India helped to resettle Bangladesi refugees in-Bengal, Tripura, Meghalaya and Assam.
• In spite of India facing economic crisis, it helped Bangladeshi refugees find new hope of life in India.

Question 20.
There is a need for disarmament. Illustrate.
Answer:

• Arms Race is a dangerous phenomenon.
• Disarmament is the only solution to Arms race.
• Arms Race creates insecurity, fear, instability and threat of war.
• Resources used to produce arms can be usefully used for development.
• Threat of Nuclear War.

OR

Illustrate the relationship between India and USA
Answer:
Relationship between India and USA

• India follows non – aligned policy.
• USA supported many India’s five year – plans.
• USA extended support during Indo-China war in 1965.
• India and USA share interest in controlling terrorism.
• India and USA support each other in trade, science and technology, space science, education.
• India and USA share mutual responsibility to strengthen UNO.
• Go-operate to support global peace.
• India adjusts its foreign policy according to the political party in power in USA.

Question 21.
What are the major effects of soil erosion?
Answer:
The important effects of soil erosion are :

• Loss of soil fertility and fall in agricultural productivity
• It leads to silting and floods, change of the course of rivers, and reduction of capacity of the reservoirs.
• Ground water level is lowered and there is decrease in soil moisture
• Vegetation covers dries up and drought increase.
• Economy as a whole suffers a great set back.

Question 22.
The Himalayas are a boon for India. How?
Answer:

• Himalayas act as natural frontiers and prevent foreign invasion.
• Prevent cold winds from Central – Asia.
• Obstruct rain bearing winds and cause heavy rainfall.
• Slopes have thick forests, an ideal natural resource.
• Storehouse of minerals.
• Birth – place of many perennial rivers – Ganga, Brahmaputra.
• Have many waterfalls, useful for generation of Hydro – electricity.

Question 23.
What are the objectives of government fiscal policy.
Answer:

• Achieve economic growth
• Maintain economic (price) stability
• Achieve fair distribution of income.

Question 24.
What were the results of Third Carnatic War?
Answer:

• Globalization promotes economic growth, generates wider range of products and services.
• Globalization has made the availability of the similar type of products all over the world.
• Globalization creates competition for local firms and thus keeps the costs down.

IV. Answer the following questions in six sentences each : (9 × 3 = 27)

Question 25.
What are the causes and results of Battle of Plassey?
Answer:
Siraj – ud – Daula ascended the throne of Oudh after the death of his grandfather Aliwardi Khan
Causes :
1.  He was fiirions that the Dastakths issued by Faruk Shiara, the Mughal emperor of Bengal were misued by the officials of East India company causing loss to the Oudh treasury.

2. The English repaired the Calcutta fort and placed cannons in it. The Nawab ordered their removal but the British refused.

3. The Nawab conqured Fort William. He imprisoned 146 English soldiers in a small dungeon in the fort.

4. 123 Soldiers died of suffocation. Robert Clive was enraged and attacked Oudh near Plassey.

Results :

• • Siraj – Ud – Daula was captured and killed.
• Mir Jaffar become the Nawab of Bengal.
• East India comapny gained exlusive trade rights in Bengal.
• The company forced Mir Jaffer to pay seventeen crore and seventy lakh rappees as compensation for the attack on fort.

Question 26.
What was Raja Ram Mohan Roy’s role in the social reforms in India.
Answer:

• Started Athmiya Sabha, in Calcutta to eradicate socio – religious maladies.
• Stared Brahma Samaj in 1828 to purge Hinduism of caste system, superstitions.
• He attempted to rebuild Hindu society based on philosophical foundations of upanishads.
• His efforts led Governor General William Bentinckto implement ‘Prohibition of Sati act’in 1829.
• He published articles to develop rationality among people in his journal ‘Samvada Komudhi’.

Question 27.
What were the causes for the failure of 1857 mutiny?
Answer:
The First war of Indian Independence in 1857 failed due to following reasons:

• The Mutiny did not cover many parts of India.
• They focused on the issues of the dethroned kings and queens rather than the freedom of the country.
• It was not a planned Mutiny
• Disunity among Indian soldiers
• Lack of direction and efficient leadership
• The Indian soldiers lacked military strategies, discipline and organization
• Many Indian Kings supported the British rather than their countrymen.
• The common people lost faith in Indian soldiers because they went about plundering and harassing them.

Question 28.
Name the factors which influence foreign policy of a country?
Answer:

• To regulate the interaction with other countries.
• To maintain peaceful relations with other countries.
• For cordial trade and commerce.
• National security.
• To develop friendly relations with other countries to check enemy countries.

Question 29.
How is Untouchability a social evil? Discuss.
Answer:
Untouchability is a social evil in India. It has its roots in the Vedas and based on the varna system, Brahmana, Kshatriya, Vysya & Shudra. The caste group occupied the lowest position on the caste system and were considered untouchables.

The untouchables were not allowed to lead a dignified life. They were not allowed to touch wells, tanks and cemetery used by upper caste people. They had to do menial jobs like carrying in the night spil dead animals and filthy jobs. They were barred from using the footwear, though footwear made by them were worn by the upper caste people. Untouchables were denied education and social justice. Untouchables were not allowed to own property. This is in human and also the violation of basic human rights.

Question 30.
Rice is the most important food crop of India. Jusify.
Answer:

• Staple food of eastern, southern and south-western India.
• India has largest area under rice cultivation in the world.
• India is second largest producer of rice.
• It the major kharif crop of India.
• Grown in all states of India.

OR

What are the main objectives of Biosphere Reserves.
Answer:

• Biospheres are special protected area of land or coastal enviroments.
• For conservation fo Ecology.
• For research
• For educational purpose
• To spread awarness of ecology among locals.

Question 31.
Mention the main causes of soil erosion.
Answer:
The main causes of soil erosion are :
a) deforestation
b) overgrazing,
c) shifting cultivation
d) faulty methods of cultivation
e) use of top soil for making bricks, tiles etc.

Question 32.
Define development and explain the process of development.
Definition:
Economic development is a process whereby an economy’s real national income increases over a long period of time.
– Prof. Meter and Baldwin Process of development:

• Operation of the forces that bring changes in supply of factors of production in the structure of demand of products.
• Changes in factor supply takes place due to discovery of additional resources, education and skill development.
• Capital accumulation, population as growth, adoption fo better techniques of production.
• Demand for production is proportional in change in size and composition of population level and distribution of income, tastes etc.
• The above changes contribute to an increase in national income.

OR

Explain Gandhiji’s concept of ‘gram swarajya’ in the light of decentralization.
Answer:

• Decentralization is the process of providing power and responsibility of developing their village to people themselves.
• Power sharing occurs and people participate in decision making.
• It aims at planning and development from the village level.
• It reduces exploitation, increases human independence and dignity.
• It nurtures human values such as compassion and co – operation.
• Panchayat Raj system is the form of decentralization in India.
• Panchayat Raj system was implement in 1993 throughout India.

Question 33.
Entrepreneurship is a creative activity. How?
Answer:

• Because it is a process of an action of an entrepreneur takes to establish his enterprise.
• It creates and build something new
• It is a knack of sensing opportunity where others can’t.
• It is an attitude of mind to seek opportunity.
• Hence Entrepreneurship is a creative activity.

OR

Explain the advantages of Globalization.
Answer:

• Globalization promotes economic growth and generates a wider range of products and services.
• Globalization helps to increase the standard of living of the people
• Globalization has made the availability of the similar type of products all over the world.
• Globalization increases the GDP of a country.
• Globalization has helped in increasing the income of the people
• By buying the products from other countries, customers are offered a much wider choice of goods and services.
• Globalization creates competition for local firms and thus keeps the costs down.
• Globalization promotes specialization. Countries can begin to specialist in those products that are best at making.
• Economic interdependence among different countries can build improved political and social links.

V. Answer the following questions in six sentences each : (4 × 4 = 16)

Question 34.
Explain the process of South – West monsoon.
Answer:

• The rainy season in India is known as South – West mons son season.
• Temperature over land rises at the end of summer.
• Low pressure develops over Central India.
• High pressure over the Indian ocean.
• Moisture laden winds blow towards Indian mainland from south – west bringing about 7570 rainfall.
• The Arabian sea branch of S.W Monsoon brings heavy rainfall to the western side of Western ghats.
• Bay of Bengal branch of S.W monsson brings heavy rainfall in the hills of Meghalaya and Assam.

Question 35.
Explain the European Union.
Answer:
It is an institution of 27 European countries. It was founded in 1922 as per the agreement of Matrich among the member countries. It provides for common market, common currency and common agriculture and trade policy. The following are the subdivision of this organization.
1) Committee
2) Commission
3) European Parliament
4) European Court of Justice.

The European Union resembles a federal government structure. As the founders asserted this strives for international peace and democracy in the world. This seems to be the continuation of earlier European Economic Community (EEC). The members states have given away some of their sovereign powers to the union willingly.

Question 36.
Why was Stratford Cripps sent to India. Explain.
Answer:

• British government favoured a federal government at the center and regional governments at the states.
• Third round table conference was organised to discuss the formation of govt.
• Congress did not participate opposing the decisions of the British.
• The British implemented the Government of India Act 1935.
• The act gave political rights for Indians and elections were held.
• Congress formed the government at the center.
• The British took unilateral decision to participate in II World War.
• Congress walked out of the cabinet opposing their decision.
• Gandhiji declared personal Satyagraha.
• The Britain Govt, sent Stratford Sripps to mediate.

OR

The Integration and unity of China became important. Why?
Answer:

• China was controlled by landlords and warlords.
• Parts of China were under colonial rule.
• In 1911, a democractic revolution took place under Kuomintang party’s Sun – Yat – San.
• In 1925, the Communist Party of China took birth to unify China.
• It supported farmer’s and worker’s movements.
• After the death of Sun – Yat – San, Chaig – kai – Shek became the leader of Kuominatang party.
• He joined imperialistic forces and attacked and killed thousands of communist revolutionaries.
• Mae – Tse – Tung started ‘Long – March’ to gamer support for Communist Party.
• Japan invaded China and was defeated by – the Communist Party.
• Japan withdrew and Mao – ze – Tung occupied Japnese colonies in China.
• By 1949, the Communist party gained control of China and established people Republic of China.

Question 37.
Partition of India had created problems. Explain.
Answer:

• Bloody communal violence broke out soon after partition.
• Millions of people migrated to India which put a great financial stress on the new country of India.
• The 562 princely states had to be integrated into the Indian union.
• Challenge of creating a new constitution
• India had to build its defence forces to protect its newly acquired freedom.
• There was a need to strengthen the social fabric to establish social security and mitigate gender, caste, religious and economic inequality in Indian society.

VI. 38. Draw out line map of India and mark the given by naming them  (1 + 4 = 5)
A. 231/2° Latitude
B. Ballari
C. Vishakapatnam
D. River Godavari
Answer:

Students can Download Karnataka SSLC Social Science Model Question Paper 3 with Answers, Karnataka SSLC Social Science Model Question Papers with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka State Syllabus SSLC Social Science Model Question Paper 3 with Answers

Time: 3 Hours
Maximum Marks: 80

I. Four alternatives are given for each of the following questions / incomplete statements. Only one of them is correct or most appropriate. Choose the correct alternative and write the complete answer along with its letter of alphabet in your answer booklet. (8 × 1 = 8)

Question 1.
The main reason for discovering a new sea – route to India was
A. Turks, captured Constantinople and levied many taxes on goods passing through Constantinople.
B. Spain and Portugal were attempting to break the monopoly of Italian traders
C. The invention of compass and astrolabes
D. Constantinople came under Turkish rule
Answer:
A. Turks, captured Constantinople and levied many taxes on goods passing through Constantinople.

Question 2.
The First World War divided the European countries into two groups known as
A. Fasists and dictators
B. Democrates and Communists
C. Axis and Allies
D. Triple Alliance and Triple Entente
Answer:
D. Triple Alliance and Triple Entente

Question 3.
The General Assembly acts like a global parliament
A. To discuss world issues
B. To approve general budget
C. It consists representatives from all the member countries.
D. It has five representatives from aU the member countries
Answer:
D. It has five representatives from aU the member countries

Question 4.
The main reasons for female trafficking is
A. Number of males eligible for marriage
B. Increase in Female population
C. Dowry system
D. Abnormal decrease in male-female sex ratio
Answer:
D. Abnormal decrease in male-female sex ratio

Question 5.
The proof of social inequality is
A. Stratification of society
B. Inequality
C. Discrimination
D. Untouchability
Answer:
B. Inequality

Question 6.
Desert soils are not suitable for all crops because
A. Have high content of soluble salt
B. They are sandy
C. Low in moisture
D. Low in humus content
Answer:
A. Have high content of soluble salt

Question 7.
When we divide the National Income of a country by the total population, we get
A. Human Development Index
B. Gender Inequality Index
C. Per Capita Income
D. Real National Income
Answer:
C. Per Capita Income

Question 8.
The woman who crossed all entrepreneurial barriers and made Biocon a success is
A. Sudha Murthy
B. Indira Nooyi
C. Nirmala Sitaraman
D. Kiran Mazumdar Shah
Answer:
D. Kiran Mazumdar Shah

II. Answer the following questions in a sentence each: (8 × 1 = 8)

Question 9.
How has India benefited from the influx of Tibetan Refugees?
Answer:
It has enriched India’s cultural diversity.

Question 10.
Why did India adopt Parliamentary Democracy?
Answer:
The founding fathers of our constitution believed that a parliament elected by the people of India should be the ultimate authority in governance.

Question 11.
On which principles does Indo – China relationship based on?
Answer:
Panchasheel Principles.

Question 12.
In which labour sector is the relationship between employee and employer is guided by legal provisions?
Answer:
Organised sector.

Question 13.
Which are the crops grown in Karif season?
Answer:
Rice, Jowar, Ragi, Cotton, Groundnuts, Tobacco.

Question 14.
Mention the main factors influencing the distribution of population in India?
Answer:

• Physical features
• Climate
• Soils
• Resources
• Industries and commerce

Question 15.
What is inflation?
Answer:
A high supply of money without concomitant supply of goods leads to inflation or a period of rising prices.

Question 16.
Mention any one factor of Globalisation?
Answer:
Encourages international capital and trade overcoming political barriers.

III. Answer the following questions in three to four sentences each : (8 × 2 = 16)

Question 17.
Who said ‘Untouchability is a heinous expression of caste system. This is a leprosy attached to Hindu skin”.
Answer:
Mahatma Gandhi.

Question 18.
What were the effects of Chinese Revolution?
Answer:

• Effects of Chinese Revolution
• Mao Tse Tung became the President of China.
• Community farming was introduced.
• The govt provided free health, education and other facilities.
• Importance was given science and technology
• Focus on industrialization.
• ‘Leap Forward’ programme was implemented.
• Deng Xioping made many reforms in 1979.
• Adopted capitalist principles within the frame work of communism.

Question 19.
How did India help improve status of women after independence?
Answer:

• India started women and child development department to develop women’s education and status. ‘
• Programmes to curb child marriage, dowry and compulsory education were implemented.
• Self – help groups of women were formed to foster social progress of women.
• Shree – Shakti associations were formed to skill women for self employment.
• Reservations for women in state and union legislature bodies and in local bodies.
• Reservation for women in education and government jobs.

OR

What is India’s take on Human Rights?
Answer:

• India has been advocating universal declaration of human rights at the UNO since the beginning.
• India has set up national and state commissions for Human rights.
• It has also set up national commission for scheduled castes and tribes.

Question 20.
Child marriage is detrimental to the society? Why?
Answer:

• Child marriage is illegal
• Children below marriagable age are not mentally and physically prepared to manage functions of marriage.
• It also affects the physical and psychological well being of children born out of child marriage.

OR

The condition of labourers in unorganised sector is pathetic. Why?
Answer:

• Unorganised sector is not governed by legal provisions.
• No fixed time or duration of work.
• Wages in this sector is below minimum wages.
• No paid leaves
• No health benefits
• No guarantee of employment

Question 21.
What are the factors that favour ocean transport in India.
Answer:

• India has a long‘coastline.
• The coastline'” has many sheltered harbours.
• India is located at the centre of the eastern hemisphere.
• Hence 85% of our foreign trade is seaborne.

Question 22.
Give the importance of peninsular plateau
Answer:

• Rich in minerals, forests, biodiversity.
• Covered with black soil, suitable for agriculture.
• Peninsular plateau is influenced by south – west monsoon.
• Western Ghats are the source of many southern rivers.
• Southern rivers are useful for producing hydro – electricity.
• The western and eastern ghats have many hill – stations.

Question 23.
Give the importance of Banks.
Answer:

• Banks play important role in economic development.
• They mobilize savings of the public.
• Provide loans to investors.
• Provide means of transfer of money.
• Offer higher interest rates on fixed deposit.
• Provide loans at lower interest rates.
• Provide loans for agriculture industry and services.
• Consumers loans, demand drafts credit and debit cards.

Question 24.
The mixer – grider you have bought is mal – functioning. The seller is refusing to replace it in spite of warranty. Whom do you approach for redress al?
Answer:
District consumer forum.

IV. Answer the following questions in six sentences each : (9 × 3 = 27)

Question 25.
What were the conditions of Srirangapatana treaty?
Answer:

• The conditions of the treaty of Srirangapatna :
• Tippu Sultan was forced to part with half of his kingdom.
• Tippu Sultan had to pay three crore rupees as war damage fee.
• Tippu Sultan had to pledge two of his three children as hostages, as a guarantee against the payment.
• Tipu Sultan was also forced to release all the prisoners of war.

OR

What are the features of Fascism
Answer:

• Ultra – nationalism
• Ideas of destroying the other national forces.
• Patronising violence
• Racial superiority
• Expansion of national boundaries
• Support of human executions.

Question 26.
Explain the contributions of E.V. Ramaswami Naicker in the social, political and religious reformation in pre-independent India.
Answer:

• E.V Ramaswamy Naicker started Self – Respect Movement’ in 1926.
• Self – respect movement was based on Dravida Racial Identity.
• He rejected racial supremacy of Arya and Brahmins.
• He gave importance to Tamil language by . rejecting Sanskrit.
• He rejected Lord Rama as vedic leader and patronized Rawan.
• He championed in equality, criticized caste and gender dicrimination.
• He participated in temple entry at Vaikam, Kerala.
• He started “Dravida Kalagam’ and became President of Justice Party.
• He started a periodical Justice.

Question 27.
Explain the beginning and spread of the mutiny of 1857.
Answer:
Beginning of the Mutiny :

• There were a sizeable number of Indian soldiers in the British – Indian army.
• Indian soldiers believed that they can drive out the British if they fought against them united.
• The greasing of the bullets of enfield guns became the major contetion for both Hindu and Muslim soldiers and refused to bite the bullet.
• Soldiers in Barackpur revolted and Mangal Pandey shot dead a British officer. Many soldiers were arrested.
• Mangal Pandey was hanged for his crime.

Spread of Mutiny

• The hanging of Mangal Pandey enraged Indian soldiers.
• Soldiers in Meerut revolted and released imprisoned soldiers.
• The mutiny spread to Delhi.
• They seized Red Fort and declared Mughal King Bhadur Shah II as the emperor.
• Later Nana Saheb, Tatya Tope and Rani Lakshmi Bai joined the Mutiny.

Question 28.
What are the aims of the World Health Organization?
Answer:

• Improving the health of world community.
• To eradicate plague, cholera, malaria and small pox.
• To free the world from AIDS and cancer and other major diseases.
• To address issues of population growth, hunger, malnutrition etc.

Question 29.
What are the legal measures to eradicate untouchability taken by the Government?
Answer:
The Legal Measures to eradicate untouchability are:
a. Articles 17 of Indian Constitution prohibits untouchability.
b. ‘Untouchability Crime Act ’ of 1955 makes untouchability a criminal act.
c. The Act of 1969 has made governments responsible in the eradication of untouchability.

Question 30.
Hydro – electricity is an important power resource for India. Justify.
Answer:

• Hydro – electricity is renewable, cheaper and has higher calorific value than coal and oil.
• India has many fast flowing rivers and waterfalls to generate Hydro – electricity.
• It can be easily transmitted.
• India depends on Hydro – electricity as ti does not have adequate fossil fuel deposits of petroleum, natural gas or coal.

OR

Aluminium is the wonder metals of 20th centruy. Justify.
Answer:

• It is the most important non – ferrous metal.
• It has wide range of uses.
• It is good subtitute for steel and copper.
• It is used in numerous industries such as, aircraft, automobiles, railways, ships, household appliances, electrical cables, packing, paints etc.

Question 31.
What are the measures to control floods?
Answer:

• Afforestation in catchment areas to reduce runoff.
• Construction of dams across rivers to store water and reduce flow of water.
• Flood forecasting and early warnings to prevent loss of life and property.

Question 32.
Explain the key features of Panchayat Raj system in India.
Answer:

• Three tier structure at district, Taluk and village Panchayats with Grama Sabha as foundation.
• Direct and periodic elections.
• Reservation of seats for SC’s, St’s, BC’s and women.
• Provision for major financial and administrative responsibilities budget and audits.
• Provision for executive/support staff.
• Strict procedure for dissolution/suppression of Panchayats.
• Mandatory elections within six months of dissolution.

OR

Deficits are a disadvantage for the economy of a country. Explain.
Answer:
High amount of deficits are not goods for the economy as they create liabilities and uncontrolled deficit and indicates financial indiscipline on the part of the government. It also increases inflation. That is why to check such practices of the governments, the Fiscal Responsibility and Budget Management Act (FRBMA) was passed in 2003.

It seeks to instill financial discipline, reduce fiscal deficit, improve macroeconomic ‘management and the overall management of the public funds by moving towards a balance budget.

Question 33.
What are the funtions of a bank? Functions of Banks are :
Answer:

• Accepting deposits from public and others.
• Lending money to public (Loans) and other institutions.
• Transferring money from one place to another (Remittances)
• Collecting money on cheques, drafts and bills.
• Discounting of bills.
• Hiring safe deposit lockers.
• Conducting foreign exchange transactions.
• Keeping valuables in safe custody.
• Issuing letters of credit and guarantee
• Conducting government transactions (State & Central)

OR

Explain the major role played by Entrepreneur in the economic development of a country.
Answer:
1. Entrepreneur promote capital formation by mobilizing the idle savings of the citizens. They employ resources for setting up their enterprise.

2. Entrepreneurs provide large scale employment to artisans, technically qualified persons and professionals.

3. Entrepreneurs help the country to increase the Gross Domestic product (GDP) and Per Capita Income.

4. Entrepreneurs encourage effective mobilization of skill, bring in new products and services and develop market for the growth of the economy.

5. Entrepreneurs enable the people to avail better quality goods at lower prices which results in the improvement of their standard of living.

6. Entrepreneurs promote development of Industries. They help to remove regional disparities by industrialising rural and backward areas.

7. Entrepreneurs contribute towards the development of society by reducing concentration of income and wealth.

8. Entrepreneurs promote country’s export trade.

9. Entrepreneurs work in an environment of changing technology and try to maximise profits by innovations.

V. Answer the following questions in six sentences each : (4 × 4 = 16)

Question 34.
The ‘Salt Sathyagraha’ was a daring display of solidarity of Indian common people against the British during the freedom movement. Explain.
Answer:
In 1930, the working committee of the congress met at Sabarmathi Ashram and passed resolution to hold Civil Disobedience under the leadership of Gandhiji. Gandhi wrote a letter to the Viceroy demanding eleven points. In case, the government does not accept this demand, the people would reject the paying tax and also start Civil disobedience movement all over India. As the Viceroy rejected the letter, declared on March 12,1930 that he would walk with followers upto Dandi, the coastal area of Gujarath. Gandhi covered 375 kms on foot and reached Dandi.

He broke the law by holding a fistful salt without paying the tax which the British had levied on salt. Charaka, the Spinning Wheel became more famous during this march. Thousands of people participated in the Salt Sathyagraha. After this, National Movement Week was observed from April 6th to 13th.

Many leaders like Vijayalakshmi Pandit, Kamala Nehru, Vallabhabai Patel, Rajagopalachari, Babu Rajendra Prasad and many other leaders who had participated with Gandhi in Dandi March were arrested. Slowly, the movement spread to other parts of the country as well.

Question 35.
The protests against Simon Commission in 1927 intensified the national freedom struggle further. Substantiate.
Answer:

• The Britian Government sent Simon Commission in 1927, to India.
• The commission aimed at studying the effects of India Govt Act, 1919.
• The commission witnessed wide protests with the slogan ‘Simon go back’.
• Bundhs and Hartals were organised in Bombay, Lahore and Madras.
• Lala Lajpath Roy died when protestors were lathi charged.
• This intensitied the national freedom struggle.

OR

The reforms made in Chinese administration resulted in China becoming a major economical force. Justify.
Answer:

• After the Revolution, community farming was introduced in China.
• Chinese citizens were provided with free – health, education etc.
• Science and Technology was encouraged for growth in industrialization.
• ‘Leap Forward’ programme was planned and implemented.
• All private property became public property.
• Deng Xiaping brought in many reforms in 1979.
• Later China adopted capitalist principles within the frame work of communism and became a major economic force.

Question 36.
Apartheid is against Humanism. How do you substantiate this statement?
Answer:
Apartheid is a crime against humanity. It is legalized racial discrimination systematically used violence to impoverish Malnourish and in other ways violate the fundamental right of the overwhelming majority of South Africans because of their race.

Apartheid is a doctrine of White supremacy. The black Africans were not allowed the right to choose where they could live and even travel where they pleased. Blacks were not allowed to buy land outside of land reserved form them despite being indigenous people. Apartheid is an extreme form of violation of basic human rights and blatant disregard of international charter of human rights.

Question 37.
Explain the factors affecting the distribution of population.
Answer:
1. Physical features :

• Mountain and Hilly areas are sparsely populated. (North east hilly region)
• Northern plains and deltas have dense population.

2. Climate :

• Hot, cold or dry regions are sparsely populated – Thar desert.

3. Soils :

• Fertile soil regions are densly populated Northern plains.
• Infertile sandy soil in thar desert – sparsely populated.

4. Resources :

• Regions with rich mineral deposits and power resources are densly populated.

5. Industries and commerce

• Industrialized, commercial urban centres are densly populated. Eg – Delhi, Bengaluru.
• Supply of water, tourism and security of life and property also influence population distribution.

VI. 38. Draw out line map of India and mark the given by naming them (1 + 4 = 5)
A] Peninsular plateau
B] Mangaluru
C] Hyderabad
D] Bokaro
Answer:

Students can Download Karnataka SSLC Social Science Model Question Paper 4 with Answers, Karnataka SSLC Social Science Model Question Papers with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

Karnataka State Syllabus SSLC Social Science Model Question Paper 4 with Answers

Time: 3 Hours
Maximum Marks: 80

I. Four alternatives are given for each of the following questions / incomplete statements. Only one of them is correct or most appropriate. Choose the correct alternative and write the complete answer along with its letter of alphabet in your answer booklet. (8 × 1 = 8)

Question 1.
The reason which the French could not succeed in India was.
A. They sided with the weak Indian sides such as Chandasahib and Muzaffar Jung.
B. Dupleix was called back to a crucial time.
C. They conspired against Indian powers
D. Their trading Company was heavily dependent on the French Government.
Answer:
D. Their trading Company was heavily dependent on the French Government.

Question 2.
Congress walked out of the government in 1939.
A. Muslim League was kept out of government.
B. Muslim League did not participate in Quit Indian movement.
C. Opposing the unilateral decision of the Viceroy to participate in World War II
D. The Muslim League proposed division of India.
Answer:
C. Opposing the unilateral decision of the Viceroy to participate in World War II

Question 3.
Security council is like the cabinet of the UNO because it.
A. Has five permanent members.
B. Has ten temporary members.
C. Has special voting power.
D. It can take major decisions on global issues.
Answer:
D. It can take major decisions on global issues.

Question 4.
A person who recieves less than _____ calories of food is considered as malnourished.
A. 1600
B. 1633
C. 1632
D. 1635
Answer:
C. 1632

Question 5.
Social Inequality is the result of
A. Caste
B. Gender
C. Profession
D. Unequel social opportunity
Answer:
D. Unequel social opportunity

Question 6.
During the rainy season the eastern coast of India suffers heavy damage due to.
A. Heavy Rainfall
B. Huge Tidal waves
C. Tropical cyclones
D. Hurricances
Answer:
C. Tropical cyclones

Question 7.
Unemployment in developing countries has increased due to
A. Automation
B. Computerization
C. Globalisation
D. Competition
Answer:
C. Globalisation

Question 8.
The process of creating some thing new is
A. Creativity
B. Skill development
C. Innovation
D. Dynamism
Answer:
C. Innovation

II. Answer the following questions in a sentence each: (8 × 1= 8)

Question 9.
What was the main reason for implementation of the ‘Regulating Act’ by the British
Answer:
Curb the corruption in East India Company.

Question 10.
How did Puttabasappa of Amarasuliya Rebellion become popular?
Answer:
He killed an Amaldhar who was known for his brutality.

Question 11.
Mention one major aim of Indian foreign policy.
Answer:
National Security.

Question 12.
What do ‘Income sources’ and ‘Educational and professional opportunities’ lead to?
Answer:
Social Inequalities.

Question 13.
The Northern plains has high density of population. Why?
Answer:
Fertile soil for agriculture, efficient transport and communication, Industries for employment, water facility etc.

Question 14.
Which industry has become a powerful tool of socio-economic change?
Answer:
Knowledge based industry.

Question 15.
What does the word ‘underdevelopment’ denote?
Answer:

• Backwardness
• Low level of living of people
• Stagnant situation
• Low percapita income
• Low productivity levels
• High population growth

Question 16.
Technology and Communication has aided globalisation. How?
Answer:

• Communication techonology and Interent Communication have made large business units as global business units.
• Business are not confined to their place of establishment but spread world – wide.

III. Answer the following questions in three to four sentences each : (8 × 2 = 16)

Question 17.
How did trade take place between India and Europe during middle ages?
Answer:

• There was great demand for Indian spices. like Pepper, Cardamom, Ginger, and many other spices in Europe.
• Arab merchants carried Asian Merchandise into Constantinople of Eastern Roman Empire (Byzantium)
• Italian merchants would buy these goods and then sell in European countries.

Question 18.
What was the result of ‘Treaty of Versallies’
Answer:

• Empires of Austro – Hungary and Ottoman empires lost their existence.
• New and small countries emerged in Europe.
• ‘League of Nations’ was established in 1919.
• Spirit of Nationalism brewed in the defeated nations.
• Germany was economically devastated
• Hitler rose to power.
• Arms manufacturers profited.

Question 19.
How does corporate strategies affect a country?
Answer:

• Corporate strategies influence the decisions of the governments.
• Corporate strategies are also used to alleviate social problems such as poverty, malnutrition, health, skill, training etc.
• Corporate social responsibility (CSR) can channelize corporate strategies in favour of society.

OR

What were the major problems that emerged after II World War?
Answer:

• Human Rights
• Apartheid
• Arms Race
• Terrorism
• Economic ineuality

Question 20.
Why are women’s Movement important?
Answer:

• They oppose patriarchal values exploiting women.
• They oppose Gender Inequality.
• They oppose exploitation of woman.
• They demand equal rights for work and wages.

OR

Why is child labour a social Problem?
Answer:

• Child Labour affects physical and psychological growth of children negatively.
• Child labourers remain uneducated and miss basic rights.
• Child Labour leads to seual exploitation child marriage, human trafficing.

Question 21.
Which soils are suitable for plantation crops? Why?
Answer:

• Mountain soils.
• Mountain soils are formed due to decomposition of organic matter,
• They are rich in humus.
• Hence mountain soil is fertile.

Question 22.
Railways are important mode of land transport. Why?
Answer:

• Railways can carry heavy goods over the long distance.
• Railways can carry large number of passengers over a long distance.
• They are cheap and affordable means of transport.
• Play vital role in development of agriculture, Industry and economy.
• Help expand trade and tourism.

Question 23.
What are measures that are essential for Rural Development?
Answer:

• Development of Human Resources.
• Land reforms
• Development of productive resources of each village.
• Development of Infrastructure (roads, hospitals, electrification etc)

Question 24.
“Globalization is the worldwide economic movement”. Substantiate your answer.
Answer:

• Globalization is the increasing cross border movement of goods and services.
• International flow of capital, technology and information
• Formation of one worldwide market by obtaining raw materials and other resources from cheap market.
• Production of goods in any region of the world at cheaper cost.

IV. Answer the following questions in six sentences each : (9 × 3 = 27)

Question 25.
Mention the efforts of the British to facilitate the expansion of Modern education in India.
Answer:

• Warren Hastings started the “Calcutta Madarasa” in 1781.
• Jonathan Duncan, a British Citizen started ‘Sanskrit College’ in Banaras in 1792.
• Lord William Benedict appointed Sir Macaulay as the Chairperson of the committee on education in 1828.
• Macaulay’s report on Education submitted by him in 1835 became the base of Modern Education in India.
• The English Medium of Instruction in India Learning System was started after 1830.
• Governor General Lord Dalhousie established Universities in Calcutta, Bombay and Madras.

OR

Why did congress pass a resolution to hold Non – Co-operation Movement.
Answer:

• To educate Indians about the British for their brutal killing in Jallianwala Bagh.
• To prevent Jallianwala Bagh-like incidents in future.
• To compel British to withdraw Rowlatt Act.
• To compel British to reform the political system which would lead to swarajya.

Question 26.
Discuss the efforts of Sayyid Ahmen Khan in removing the evils of Muslim community.
Answer:

• He started Mohammadan Liberty Society in 1863.
• He started debates and discussions on issues related to religion, society and politics.
• He advocated that religion should be interpreted according to changing times.
• He fought against traditions, superstitions, ignorance and irrationalities in Muslim religion.
• He did not support purdah system and called for educating muslim girls.
• He started Mohammadan Anglo-oriental college to spread western scientific and cultural ideas.
• He preached tolerance.

Question 27.
How did the Political and Social religious factors led to the First war of India Independence of 1857.
Answer:
The issues that outraged the religions feeling of Indian Soldiers:
1. Indians believed that it was against their religious belief to cross the oceans to another country. Hence the pressure put on Indian soldiers for overseas work triggerd anger among the Indian soldiers due to their religious beliefs.

2. The rumour that the bullets of the New Royal Enfield guns were greased with cow or pig fat. Hindu soldiers believed that cows are sacred and pigs were prohibited for Muslims.

3. When the military soldiers at Barackpur were ordered to load the bullets to the gun by chewing a part of the bullet, they refused to do it and revolted against the British Officers.

The major cause of the ‘First Indian ‘Freedom Struggle’ are
Political Causes: Under the ‘Doctrine of Lapse’ policy, the British annexed many kingdoms into their empire

Economic cause:
a) Industrial revolution in west led to decline in Indian industries and rendered many people unemployed.
b) High customs duty on Indian Goods exported to England
c) Oppressive land taxes impoverished the farmers

Administrative Causes: Oppressive civil and criminal laws which discriminated against Indians.

Military Causes:
a) Indian soldiers in the British army were discriminated in status, salary and promotions.
b) The rumour that the bullets of the Royal Enfield guns were greased with the fat of pig or cow enraged the Hindus, who believed that cows are sacred and the Muslims who were prohibited the consumption of pigs, was the immediate cause for the uprising.

Question 28.
What are the effects of terrorism? What are the measures taken to curb terrorism?
Answer:

• Terrorism puts pressure on a government.
• Terrorism creates a lot of loss for individuals as well as communities.
• Terrorism creates psychological pain and influences the cultural aspects negatively
• Terrorism creates panic and violence and fear in people.
• The Government of India now created special elite force to tackle terrorism.

Question 29.
What are the features of Social Stratification?
Answer:
1. Social Stratification is social in nature: This stratification is based on the social recognition and importance but not on any physical traits.

2. Social Stratification is Universal: In any human society social stratification exists based on division of labour, profession, income and other social traits.

3. Social Stratification is ancient: Social stratification exists since the birth of society.

• Social stratification exists in different ways in different regions.
• In ancient Rome, differences existed between – plebians & patricians. In India, social stratification is based on varna system.

Question 30.
Mention the causes of earthquakes.
Answer:
Earthquake occur due to several causes such as plate movements, volcanic eruption, faulting and folding, landslides, collapse of underground cave roofs, hydrostatic pressure of man made water bodies like reservoirs etc., In India most of the earthquakes that have occurred earlier were due to plat movement.

OR

What is the Impact of population growth in India?
Answer:

• Unemployment.
• Shortage of food and malnutrition.
• Burden on civic and social amenities.
• Low per capita income
• Slow economic development.
• Political and social unrest.
• Low Standard of Living.
• Poverty.
• Environmental pollution.
• Strain on resources.

Question 31.
Agriculture is the back bone of India. Explain.
Answer:

• India is predominantly an agricultural country.
• 65% of people depend on agriculture.
• Main source of livelihood
• Main source of food, fodder and raw material for animals and industries.
• Supports tertiary sectors – trade, transport, booking, insurance.
• Influences political and social situtation of India.
• Supports Industries.

Question 32.
Explain the aspects of nOn-tax revenue of the central government.
Answer:

• The ‘Non-Tax Revenue’ of the Government are –
• Profit earned by the Reserve Bank of India
• Profit generated by the Indian Railways
• Revenue generated by the Departments of Post and Telecommunications
• Revenue generated by the public sector industries
• Revenue generated by the coins and mints
• Various types of fees and penalties etc.

OR

Explain the meaning of Public Finance and its importance
Answer:
Public finance deals with how a Government raises revenues to meet its
expenditure. As Dalton says, public finance is “concerned with the income and expenditure of public authorities and with the adjustment of one to the other.” Public finance studies the way in which the government manages its income, expenditure and loans.

Importance of Public Finance: The government’s activities of mobilizing revenue, incurring expenditure and raising loans are part of its fiscal policy. The objectives of fiscal policy are to achieve economic growth, maintain economic (price) stability, and achieve a fair distribution of income.

The government usually spends the revenue collected through taxes or the money raised through borrowings for development activities. This increases the growth rate of the economy and benefits everyone. Similarly, by spending more during recession and controlling expenditure during inflation, the government tries to regulate the economic activities.

Since all these are part of the annual budget prepared by the government, the study of public finance also helps in analysis and evaluation of budgets.

Question 33.
Explain the relationship between the banker and its customers.
Answer:
Relationship between bankers and customers :
The relation between a banker and customers falls under two broad categories, namely-
1. General relationship
2. Special relationship

1. General relationship

• Primary Relationship (Debtor and creditor relationship).
• Subsidiary Relationship (Trustee and beneficiary relationship.)
• Agent and Principal Relationship

2. Special relationship

• Obligation to honour cheques.
• Obligation to maintain secrecy of accounts.

OR

Explain the factors which include in Globalization.
Answer:
Globalization refers to the worldwide phenomenon of technical, economic, political and cultural exchanges, brought about by modern communication , transportation and legal infra structure as well as the political choice to consciously open cross-border links in the international trade and finance.

• Globalization encourages international capital and trade overcoming the political barriers among the countries.
• Globalization creates free trade zone by removing the import and export duties.
• Through container service in shipping, globalization reduces the transportation expenses.
• Globalization helps to reduce the restriction on capital investment or fully removes the barriers on capital flow.
• Globalization creates subsidies to the worldwide trade organization
  Globalization creates harmonization of intellect property laws across the majority of states which have more restrictions.
  Ex : Some patent goods of China are found in some prominent business houses of America.)

V. Answer the following questions in Six sentences each : (4 × 4 = 16)

Question 34.
Explain the role of farmers revolts in the freedom movement of India.
Answer:
The protests organized by the farmers and the workers are equally important in the history of National Freedom Struggle. Some of these associations were influenced by the Congress, and some were influenced by the Marxist ideologies. During the British administration many farmers rebelled against the British planters and Zamindars.

They opposed the Indigo cropping in Champaranya district. They protested against land tax. Gandhi convinced the British officers through his Sathyagraha to withdraw tax.

The Indian National Congress tried to organize the farmers as a part of National Freedom Struggle. Gandhiji’s influence was visible in activities in Champaranya, Khedha and other places where the farmers organized themselves and protested. Farmers of Tebhaga, Malabar and other places revolted against the British and Zamindars under the influence of the Congress.

The issues the farmers found themselves intermingled with the problems focused on Non movements like Non-Cooperation movement. Tax refusal and Quit India movements. Many of the protests were organized under the banner of Kisan Sabha which was influenced by leftist ideologies.

These protests were often in favour of the congress and many times stood opposed to congress. In Telangana, farmers protested against the Zamindars and Nizam’s Razacks. The farmers of Bengal rose against the Zamindars. In Maharastra, farmers protested against low wages for them.

Question 35.
The Indian Government Act of 1858 brought radical changes in the British administration of India. Explain.
Answer:

• The Queen of Britain passed a declaration in 1858. It had the following aspects :
• The agreements entered by the company with the local Kings were accepted.
• Non – pursuance of regional expansion.
• Providing a stable government for Indians
• Equality before the law
• Non-interference of the government in religious issues of Indians and practicing religious tolerance.

OR

How did USA come out of its Great Economic Depression?
Answer:
Emergence of USA as a strong country: The Great Economic Depression that affected USA in 1927 brought in many changes in the politics of USA. USA had helped the Triple Entente with money and soldiers. In 1929, USA. experienced stagnation in economic development. As a result, output dropped in automobile and agriculture. There was also drop in the output of consumer durables manufacturing, mining, ship building, and many other industries. This economic crisis led to changes in the politics.

During the Second World War, Japan attacked Pearl harbor, the military base of USA. This made USA to enter the war in favour the allied forces. The President Roosvelt made people to be ready for war. He encouraged women to work in public spear. USA won the war. It also helped the establishment of UNO during the war and later provided its support to it. USA has emerged as a powerful country after 1945. With the end of Cold War, USA has become the only Super Power of the world.

Question 36.
Child Marriage is a blot on Indian society. Explain.
Answer:
The holistic development of children is stunted by child marriage and they lose the power of questioning. As a result, violations like sexual assaults on children become more and more increased. Many rights of children like education, childhood, entertainment, interaction with friends continue to be violated.

Children fall into the trap of malnutrition, anemia, diseases, abortions, infanticide and maternal mortality increases. The chance of girl becoming a widow at a young age is also more and becomes a victim of violence easily.

Question 37.
How can coastal erosion be prevented?
Answer:

• Constructing walls, Groins and Breaks waters to protect the coastal areas from erosion.
• Restricting sand mining in coastal areas.
• Planting of trees to stabilize the beaches and coastal dunes.
• Banning construction activities within 500 mts of sea coasts.

VI. 38. Draw outline map of India and mark the given by naming them (1 + 4 = 5)
A] Western Ghats
B] Kholapur CJ Srinagar
D] Vishakapatnam
Answer:

Karnataka SSLC Maths Model Question Paper 2 Kannada Medium

Karnataka SSLC Maths Model Question Paper 2 Kannada Medium

ವಿಷಯ : ಗಣಿತ
ಸಮಯ: 3 ಗಂಟೆಗಳು
ಗರಿಷ್ಠ ಅಂಕಗಳು: 80

I. ಕೆಳಗಿನ ಪ್ರಶ್ನೆಗಳಿಗೆ ಅಥವಾ ಅಪೂರ್ಣ ಹೇಳಿಕೆಗೆ ನಾಲ್ಕು ಪರ್ಯಾಯ ಉತ್ತರಗಳನ್ನು ನೀಡಲಾಗಿದೆ. ಇವುಗಳಲ್ಲಿ ಸೂಕ್ತವಾದ ಉತ್ತರವನ್ನು ಆರಿಸಿ, ಕ್ರಮಾಕ್ಷರದೊಡನೆ ಪೂರ್ಣ ಉತ್ತರವನ್ನು ಬರೆಯಿರಿ. (8 × 1 = 8)

Question 1.
ಚಿತ್ರದಲ್ಲಿ QE = 7.2 cm, PF = 1.8 cm, FR = 5.4cm ಆದರೆ PE ಯು

(A) 2 cm
(B) 2.4 cm
(C) 2.8 cm
(D) 3.2 cm

Question 2.
‘r’ ವೃತ್ತ ತ್ರಿಜ್ಯ ಹಾಗೂ 60° ಕೋನವನ್ನು ಹೊಂದಿರುವ ತ್ರಿಜ್ಯಾಂತರ ಖಂಡದ ವಿಸ್ತೀರ್ಣ

Question 3.
P (-2, -1), ರಲ್ಲಿ ಲಂಬದೂರವು
(A) -2
(B) -1
(C) 1
(D) 2

Question 4.
‘0’ ಮೂಲಬಿಂದು ಮತ್ತು P (4, 3) ರ ನಡುವಿನ ದೂರ (ಏಕಮಾನಗಳಲ್ಲಿ) OP = …….
(A) 5
(B) 4
(C) 3
(D) 2

Question 5.
P (x) = 5x – 10 ರ ಶೂನ್ಯತೆ.
(A) 2
(B) -2
(C) 5
(D) -5

Question 6.
x + \(\frac { 2 }{ x }\) = 3 ಸಮೀಕರಣದ ಆದರ್ಶರೂಪ
(A) x² + 2x – 3 = 0
(B) x² + 3x + 2 = 0
(C) x² – 3x + 2 = 0
(D) x² – 2x + 3 = 0

Question 7.
ಎರಡು ನಾಣ್ಯಗಳನ್ನು ಏಕಕಾಲಕ್ಕೆ ಚಿಮ್ಮಿದಾದ, ಶಿರ H ಮತ್ತು ಪ್ರಚ್ಛ T ಇರುವಂತೆ ಸಾಧ್ಯ ಫಲಿತಗಳು
(A) {T, H, H, T}
(B) {TT, HH, HT, TH}
(C) {T, H}
(D) {TT, HH}

Question 8.
ಸಿಲಿಂಡರ್‌ನ ಎತ್ತರ ‘h’ ಮತ್ತು ಪಾದದ ತ್ರಿಜ್ಯ ‘r’ ಆದಾಗ ಸಿಲಿಂಡರ್‌ನ ಪಾರ್ಶ್ವ ಮೇಲೈ ವಿಸ್ತೀರ್ಣ
(A) 2π (r + h)
(B) 2πr (r + h)
(C) 2πrh
(D) \(\frac { 2\pi r }{ h }\)

II. ಈ ಕೆಳಗಿನ ಪ್ರಶ್ನೆಗಳಿಗೆ ಉತ್ತರಿಸಿ: (6 × 1 = 6)

Question 9.
ಒಂದು 5m ಎತ್ತರದ ಏಣಿಯನ್ನು ನೆಲದ ಮೇಲಿನಿಂದ 4 m ಎತ್ತರದ ಕಿಟಕಿಯನ್ನು ತಲುಪುವಂತೆ ಗೋಡೆಗೆ ಒರಗಿಸಿದೆ. ಗೋಡೆಯ ಪಾದದಿಂದ ಏಣಿಯ ಪಾದಕ್ಕಿರುವ ದೂರ ಲೆಕ್ಕಿಸಿ.

Question 10.
ಒಂದು ಬಿಂದುವಿನಿಂದ ವೃತ್ತದ ಮೇಲಿನ ಬಿಂದುವಿಗೆ ಎಳೆದ ಸ್ಪರ್ಶಕಗಳ ಸಂಖ್ಯೆ ಎಷ್ಟು?

Question 11.
‘ಭಾಗ ಪ್ರಮಾಣ ಸೂತ್ರ’ ವನ್ನು ಬರೆಯಿರಿ.

Question 12.
ಯೂಕ್ಲಿಡ್‌ನ ಭಾಗಾಕಾರ ಅನುಪ್ರವೇಯವನ್ನು ತಿಳಿಸಿ.

Question 13.
ಘನಪದೋಕ್ತಿಯು ಹೊಂದಿರಬಹುದಾದ ಗರಿಷ್ಟ ಶೂನ್ಯತೆಗಳ ಸಂಖ್ಯೆ ಎಷ್ಟು?

Question 14.
ಎರಡು ಸಂಖ್ಯೆಗಳ ಮೊತ್ತ 27 ಮತ್ತು ಗುಣಲಬ್ಧ 182 ಆದರೆ ಆ ಸಂಖ್ಯೆಗಳು ಯಾವುವು?

III. ಈ ಕೆಳಗಿನ ಪ್ರಶ್ನೆಗಳಿಗೆ ಉತ್ತರಿಸಿ: (16 × 2 = 32)

Question 15.
ಮೊತ್ತ ಕಂಡುಹಿಡಿಯಿರಿ: 34 + 32 + 30 + …………… + 10,

Question 16.
ಒಂದು ಏಣಿಯ ಪಾದವು ನೆಲದ ಮೇಲೆ ಗೋಡೆಯಿಂದ 2.5m ದೂರದಲ್ಲಿ ಹಾಗೂ ಅದರ ತುದಿಯು ನೆಲದ ಮೇಲಿಂದ 6 m ಎತ್ತರದಲ್ಲಿರುವ ಕಿಟಕಿಯನ್ನು ಮುಟ್ಟುವಂತೆ ಏಣಿಯನ್ನು ಗೋಡೆಗೆ ಒರಗಿಸಿ ಇಡಲಾಗಿದೆ. ಏಣಿಯ ಉದ್ದವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 17.
ಒಂದು ಎರವಲು ಗ್ರಂಥಾಲಯದಲ್ಲಿ ಮೊದಲ 3 ದಿನಕ್ಕೆ ಒಂದು ನಿಗದಿತ ಶುಲ್ಕವಿರುತ್ತದೆ. ಆ ದಿನದ ಪ್ರತಿಯೊಂದೂ ದಿನಕ್ಕೂ ಒಂದು ಹೆಚ್ಚುವರಿ ಶುಲ್ಕವಿರುತ್ತದೆ. ಪುಸ್ತಕವನ್ನು 7 ದಿನ ತನ್ನಲ್ಲಿ ಇರಿಸಿಕೊಂಡಿದ್ದಕ್ಕಾಗಿ ಸರಿತಾ ₹ 27 ನ್ನು ಪಾವತಿಸಿದರೆ, ಪುಸ್ತಕವನ್ನು 5 ದಿನ ಇರಿಸಿಕೊಂಡಿದ್ದಕ್ಕಾಗಿ ಸೂಸಿ ₹ 21 ನ್ನು ಪಾವತಿಸಿದಳು. ನಿಗದಿತ ಶುಲ್ಕ ಮತ್ತು ಪ್ರತಿಯೊಂದು ಹೆಚ್ಚುವರಿ ದಿನದ ಶುಲ್ಕವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 18.
ನೀರಿನ ಒಳಭಾಗದಲ್ಲಿರುವ ಬಂಡೆಗಳ ಬಗ್ಗೆ ಎಚ್ಚರಿಸಲು ಒಂದು ದೀಪಸ್ಥಂಭವು 80° ಕೋನವಿರುವ ತ್ರಿಜ್ಯಾಂತರ ಖಂಡದಲ್ಲಿ 16.5 km ದೂರಕ್ಕೆ ಕೆಂಪು ಬೆಳಕನ್ನು ಹರಡುತ್ತದೆ. ಹಡಗುಗಳನ್ನು ಎಚ್ಚರಿಸುವ ಈ ಭಾಗದ ವಿಸ್ತೀರ್ಣವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.
ಅಥವಾ
ಚಿತ್ರದಲ್ಲಿ ತೋರಿಸಿರುವಂತೆ 4 cm ಬಾಹುವುಳ್ಳ ಒಂದು ಚೌಕದ ಪ್ರತೀ ಮೂಲೆಯಲ್ಲಿ 1 cm ತ್ರಿಜ್ಯವಿರುವ ವೃತ್ತ ಚತುರ್ಥಕವನ್ನು ಮತ್ತು 2 cm ವ್ಯಾಸವಿರುವ ಒಂದು ವೃತ್ತವನ್ನು ಕತ್ತರಿಸಿದೆ. ಚೌಕದ ಉಳಿದ ಭಾಗದ ವಿಸ್ತೀರ್ಣವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 19.
ಪಾದ 8 cm ಮತ್ತು ಎತ್ತರ 4 cm ಇರುವ ಒಂದು ಸಮದ್ವಿಬಾಹು ತ್ರಿಭುಜವನ್ನು ರಚಿಸಿ, ನಂತರ ಮತ್ತೊಂದು ತ್ರಿಭುಜವನ್ನು, ಅದರ ಬಾಹುಗಳು ಮೊದಲು ರಚಿಸಿದ ಸಮದ್ವಿಬಾಹು ತ್ರಿಭುಜದ ಅನುರೂಪ ಬಾಹುಗಳ 1\(\frac { 1 }{ 2 }\) ರಷ್ಟಿರುವಂತೆ ರಚಿಸಿ,

Question 20.
(4, -3) ಮತ್ತು (8, 5) ಬಿಂದುಗಳನ್ನು ಸೇರಿಸುವ ರೇಖಾಖಂಡವನ್ನು ಆಂತರಿಕವಾಗಿ 3 : 1 ಅನುಪಾತದಲ್ಲಿ ವಿಭಾಗಿಸುವ ಬಿಂದುವಿನ ನಿರ್ದೇಶಾಂಕಗಳನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 21.
ಶೃಂಗಗಳು ಈ ಕೆಳಗಿನಂತಿರುವ ತ್ರಿಭುಜಗಳ ವಿಸ್ತೀರ್ಣಗಳನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ. (5, -1), (3, -5), (5, 2)

Question 22.
√5 ಒಂದು ಅಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆ ಎಂದು ಸಾಧಿಸಿ.

Question 23.
(1, 1) ನ್ನು ಕ್ರಮವಾಗಿ ಶೂನ್ಯತೆಗಳ ಮೊತ್ತ ಹಾಗೂ ಗುಣಲಬ್ದವಾಗಿ ಹೊಂದಿರುವ ವರ್ಗಬಹುಪದೋಕ್ತಿಯನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 24.
ಮೂಲಗಳ ಸ್ವಭಾವವನ್ನು ವಿವೇಚಿಸಿ, ವಾಸ್ತವ ಮೂಲಗಳಿದ್ದಲ್ಲಿ, ಅವುಗಳನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ: 2x² – 3x + 5 = 0

Question 25.
1.6m ಎತ್ತರದ ಪ್ರತಿಮೆಯೊಂದನ್ನು ಒಂದು ಪೀಠದ ಮೇಲ್ಬಾಗದಲ್ಲಿ ಇರಿಸಲಾಗಿದೆ. ನೆಲದ ಮೇಲಿನ ಒಂದು ಬಿಂದುವಿನಿಂದ ಪ್ರತಿಮೆಯ ಮೇಲಿನ ಉನ್ನತ ಕೋನವು 60° ಮತ್ತು ಅದೇ ಬಿಂದುವಿನಿಂದ ಪೀಠದ ಮೇಲ್ತುದಿಯ ಉನ್ನತ ಕೋನವು 45° ಇದ್ದರೆ, ಪೀಠದ ಎತ್ತರವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 26.
10 ಪಂದ್ಯಗಳಲ್ಲಿ ಒಬ್ಬ ಬೌಲರ್‌ನು ಪಡೆದ ವಿಕೆಟ್‌ಗಳ ಸಂಖ್ಯೆಯು ಈ ಕೆಳಗಿನಂತಿದೆ.

Question 27.
ಒಂದು ದಾಳವನ್ನು ಒಂದು ಸಲ ಎಸೆಯಲಾಗಿದೆ. 2 ಮತ್ತು 6ರ ನಡುವೆ ಒಂದು ಸಂಖ್ಯೆಯನ್ನು ಪಡೆಯುವ ಸಂಭವನೀಯತೆಯನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 28.
ಒಂದು ಪಾತ್ರೆಯ ಆಕಾರವು ಟೊಳ್ಳಾದ ಸಿಲಿಂಡರಿನ ಒಂದು ಪಾದದ ಮೇಲೆ ಟೊಳ್ಳಾದ ಅರ್ಧಗೋಳಾಕೃತಿಯನ್ನು ಕೂಡಿಸಿ ಮಾಡಿದೆ. ಅರ್ಧಗೋಳದ ವ್ಯಾಸವು 14 cm ಮತ್ತು ಪಾತ್ರೆಯ ಒಟ್ಟು ಎತ್ತರ 13 cm ಇದೆ. ಈ ಪಾತ್ರೆಯ ಒಳಮೇ ವಿಸ್ತೀರ್ಣವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.
ಅಥವಾ
ಒಂದು ಘನ ಸಿಲಿಂಡರಿನ ಎತ್ತರ 2.4 m ಮತ್ತು ವ್ಯಾಸ 1.4 m ಇದೆ. ಇದರಿಂದ ಒಂದೇ ಎತ್ತರ ಮತ್ತು ಒಂದೇ ವ್ಯಾಸವನ್ನು ಹೊಂದಿರುವ ಶಂಕುವಿನಾಕಾರದ ಹಳ್ಳವನ್ನು ಕೊರೆದು ಟೊಳ್ಳಾಗಿಸಿದೆ. ನೂತನ ಘನದ ಒಟ್ಟು ಮೇಲೈ ವಿಸ್ತೀರ್ಣವನ್ನು ಅತ್ಯಂತ ಸಮೀಪದ ಬೆಲೆಗೆ cm² ನಲ್ಲಿ ಕಂಡುಹಿಡಿಯಿರಿ.

Question 29.
\(\frac { 3 }{ 2 }\) x + \(\frac { 5 }{ 3 }\) y = 7: 9x – 10y = 14 ಈ ರೇಖಾತ್ಮಕ ಸಮೀಕರಣಗಳಲ್ಲಿ \(\frac { { a }_{ 1 } }{ { a }_{ 2 } }\), \(\frac { { b }_{ 1 } }{ { b }_{ 2 } }\) ಮತ್ತು \(\frac { { c }_{ 1 } }{ { c }_{ 2 } }\) ಅನುಪಾತಗಳನ್ನು ಹೋಲಿಸುವ ಮೂಲಕ ಜೋಡಿಗಳು ಸ್ಥಿರವಾಗಿವೆಯೇ ಅಥವಾ ಅಸ್ಥಿರವಾಗಿವೆಯೇ ಎಂಬುದನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 30.
150 cm ಎತ್ತರವಿರುವ ಒಬ್ಬ ವ್ಯಕ್ತಿಯು ತನ್ನ ನೆರಳಿನ ತುದಿಯನ್ನು ಗಮನಿಸಿದಾಗ ಅದು ಅವನ ಪಾದದಿಂದ 150√3 cm ದೂರದಲ್ಲಿರುವುದು ಕಂಡುಬರುತ್ತದೆ. ಹಾಗಾದರೆ ಅವನ ನೋಟದಲ್ಲಿ ಉಂಟಾದ ಅವನತ ಕೋನವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

IV. ಈ ಕೆಳಗಿನ ಪ್ರಶ್ನೆಗಳಿಗೆ ಉತ್ತರಿಸಿ: (6 × 3 = 18)

Question 31.
‘ವೃತ್ತದ ಮೇಲಿನ ಯಾವುದೇ ಬಿಂದುವಿನಲ್ಲಿ ಎಳೆದ ಸ್ಪರ್ಶಕವು, ಸ್ಪರ್ಶ ಬಿಂದುವಿನಲ್ಲಿ ಎಳೆದ ತ್ರಿಜ್ಯಕ್ಕೆ ಲಂಬವಾಗಿರುತ್ತದೆ’ ಎಂದು ಸಾಧಿಸಿ.
ಅಥವಾ
ಬಾಹ್ಯ ಬಿಂದುವಿನಿಂದ ವೃತ್ತಕ್ಕೆ ಎಳೆದ ಸ್ಪರ್ಶಕಗಳು ಸಮ ಎಂದು ಸಾಧಿಸಿ

Question 32.
BC = 6 cm, AB = 5cm ಮತ್ತು ∠ABC = 60° ಇರುವಂತೆ ABC ತ್ರಿಭುಜವನ್ನು ರಚಿಸಿ, ನಂತರ ಮತ್ತೊಂದು ತ್ರಿಭುಜವನ್ನು, ಅದರ ಬಾಹುಗಳು ತ್ರಿಭುಜ ABC ಯ ಅನುರೂಪ ಬಾಹುಗಳ \(\frac { 3 }{ 4 }\) ರಷ್ಟಿರುವಂತೆ ರಚಿಸಿ.

Question 33.
ಮೂರು ವರ್ಷಗಳ ಹಿಂದೆ ರೆಹಮಾನನ ವಯಸ್ಸು (ವರ್ಷಗಳಲ್ಲಿ) ಮತ್ತು 5 ವರ್ಷಗಳ ನಂತರದ ಅವನ ವಯಸ್ಸು ಇವುಗಳ ವೃಶ್ಯಮಗಳ ಮೊತ್ತ \(\frac { 1 }{ 3 }\) ಆದರೆ ಅವನ ಈಗಿನ ವಯಸ್ಸನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.
ಅಥವಾ
ಮೂರು ಕ್ರಮಾನುಗತ ಸಂಖ್ಯೆಗಳಲ್ಲಿ, ಮೊದಲನೆಯ ವರ್ಗ ಮತ್ತು ಉಳಿದೆರಡು ಸಂಖ್ಯೆಗಳ ಗುಣಲಬ್ದಗಳ ಮೊತ್ತ 154 ಆಗಿದೆ. ಹಾಗಾದರೆ ಆ ಮೂರು ಸಂಖ್ಯೆಗಳನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 34.
ಈ ಕೆಳಗೆ ವ್ಯಾಖ್ಯಾನಿಸಲ್ಪಟ್ಟ ಹೇಳಿಕೆಗಳ ಕೋನಗಳು ಲಘಕೋನಗಳು. ಈ ಕೆಳಗಿನ ಸಮೀಕರಣಗಳನ್ನು ಸಾಧಿಸಿ.

ಅಥವಾ

Question 35.
ಒಂದು ಕಾರ್ಖಾನೆಯ 50 ಕೆಲಸಗಾರರ ದೈನಂದಿನ ಆದಾಯವನ್ನು ಕೆಳಗಿನ ವಿತರಣೆಯು ನೀಡುತ್ತಿದೆ.

ಮೇಲಿನ ವಿತರಣೆಯನ್ನು ಕಡಿಮೆ ಇರುವ ವಿಧಾನದ’ ಸಂಚಿತ ಆವೃತ್ತಿ ವಿತರಣೆಯಾಗಿ ಬದಲಾಯಿಸಿ ಮತ್ತು ಅದರ ಓಜೀವ್ ಎಳೆಯಿರಿ.

Question 36.
ಎರಡನೇ ಬಹುಪದೋಕ್ತಿಯನ್ನು ಮೊದಲನೇ ಬಹುಪದೋಕ್ತಿಯಿಂದ ಭಾಗಿಸಿ ಹಾಗೂ ಮೊದಲನೇ ಬಹುಪದೋಕ್ತಿಯು ಎರಡನೇ ಬಹುಪದೋಕ್ತಿಯ ಅಪವರ್ತನವಾಗಿದೆಯೇ ಎಂದು ಪರೀಕ್ಷಿಸಿ.
t² – 3 ; 2t⁴ + 3t³ – 2t² – 9t – 12
ಅಥವಾ
ಬಹುಪದೋಕ್ತಿ p(x) ನ್ನು ಬಹುಪದೋಕ್ತಿ g(x) ನಿಂದ ಭಾಗಿಸಿ, ಭಾಗಲಬ್ಧ ಮತ್ತು ಶೇಷವನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.
p(x) = x⁴ – 3x + 4x + 5
g(x) = x² + 1 – x

V. ಈ ಕೆಳಗಿನ ಪ್ರಶ್ನೆಗಳಿಗೆ ಉತ್ತರಿಸಿ: (4 × 4 = 16)

Question 37.
ಎರಡು ತ್ರಿಭುಜಗಳಲ್ಲಿ ಒಂದು ತ್ರಿಭುಜದ ಮೂರು ಬಾಹುಗಳು ಮತ್ತೊಂದು ತ್ರಿಭುಜದ ಮೂರು ಬಾಹುಗಳೊಡನೆ ಸಮಾನುಪಾತ ಹೊಂದಿದ್ದರೆ, ಅವುಗಳ ಅನುರೂಪ ಕೋನಗಳು ಸಮವಾಗಿರುತ್ತವೆ ಮತ್ತು ಅದರಿಂದಾಗಿ ಆ ಎರಡು ತ್ರಿಭುಜಗಳು ಸಮರೂಪಿಗಳಾಗಿರುತ್ತವೆ ಎಂದು ಸಾಧಿಸಿ.

Question 38.
ನಕ್ಷೆಯ ಮೂಲಕ ಬಿಡಿಸಿ: y = 2x + 1; x = 2y – 5

Question 39.
(4, -1) ಮತ್ತು (-2, -3) ಬಿಂದುಗಳನ್ನು ಸೇರಿಸುವ ರೇಖಾಖಂಡದ ಭಾಜಕ ಬಿಂದುಗಳ ನಿರ್ದೇಶಾಂಕಗಳನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Question 40.
ಒಂದು ಸಮಾಂತರ ಶ್ರೇಢಿಯ ಮೊದಲ ಪದದ ವರ್ಗವು ಅದರ 8ನೇ ಪದಕ್ಕೆ ಸಮವಾಗಿದೆ ಹಾಗೂ 8ನೇ ಪದವು ನಾಲ್ಕನೇ ಪದಕ್ಕಿಂತ 24 ಹೆಚ್ಚಾಗಿದೆ. ಹಾಗಾದರೆ ಶ್ರೇಢಿಯ ಪದಗಳನ್ನು ಬರೆಯಿರಿ.

Solutions

I.
Solution 1.
(B) 2.4 cm

Solution 2.
(C) \(\frac { { \pi r }^{ 2 } }{ 6 }\)

Solution 3.
(B) -1

Solution 4.
(A) 5

Solution 5.
(A) 2

Solution 6.
(C) x² – 3x + 2 = 0

Solution 7.
(B) {TT, HH, HT, TH}

Solution 8.
(C) 2πrh

II.
Solution 9.
ತ್ರಿವಳಿ: 5, 4, 3
ಏಣಿಯ ಪಾದದಿಂದ ಗೋಡೆಯ
ಪಾದಕ್ಕಿರುವ ದೂರ = 3 ಮೀ.

Solution 10.
ಒಂದು ಬಿಂದುವಿನಿಂದ ವೃತ್ತದ ಮೇಲಿನ ಬಿಂದುವಿಗೆ ಎಳೆದ ಸ್ಪರ್ಶಕಗಳ ಸಂಖ್ಯೆ = 1

Solution 11.
(x₁, y₁) ಮತ್ತು (x₂, y₂) ಬಿಂದುಗಳಿಗೆ ಸಂಬಂಧಿಸಿದಂತೆ : ಭಾಗ ಪ್ರಮಾಣ ಸೂತ್ರ (m₁ : m₂ ಅನುಪಾತದಲ್ಲಿ)

Solution 12.
ಭಾಜ್ಯ = ಭಾಜಕ × ಭಾಗಲಬ್ದ + ಶೇಷ
a = b × q + r

Solution 13.
ಗರಿಷ್ಟ ಶೂನ್ಯತೆಗಳು = 3

Solution 14.
x + y = 27
13 + 14 = 27
xy = 182
13 × 14 = 182
ಮೊದಲ ಸಂಖ್ಯೆ = 13, ಎರಡನೆಯ ಸಂಖ್ಯೆ = 14

Solution 15.
a₁ = 38, a₁₆ = 73, a₃₁ = ?
a₁₆ = a + 15d
73 = 38 + 15d
73 = 38 + 15d
d = 3
a₃₁ = a₁ + 30d = 38 + 30(3) = 38 + 90 = 128
a₃₁ =128

Solution 16.

AB ಯು ಏಣಿ, CA ಯು ಗೋಡೆ ಮತ್ತು ಕಿಟಕಿಯಾಗಿರಲಿ.
BC = 2.5m ಮತ್ತು CA = 6m
AB² = BC² + CA² = (2.5)² + (6)² = 42.25
AB = 6.5
ಏಣಿಯ ಉದ್ದ ಆಗಿದೆ.

Solution 17.
ಮೊದಲ 3 ದಿನದ ಒಂದು ಶುಲ್ಕ = x
ಪ್ರತೀ ದಿನದ ಹೆಚ್ಚುವರಿ ಶುಲ್ಕ = y
x + 4y = 27
x + 2y = 21
2y = 6
y = 3
x + 2y = 21
x + 2(3) = 21
x = 21 – 6
x = 15
ಮೂರು ದಿನಗಳ ಶುಲ್ಕ = x = ₹ 15
ಹೆಚ್ಚುವರಿ ಪ್ರತೀ ದಿನದ ಶುಲ್ಕ = y = ₹ 13

Solution 18.

Solution 19.

Solution 20.

Solution 21.

Solution 22.
√5 ಒಂದು ಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆಯಾಗಿರಲಿ.
√5 = \(\frac { p }{ q }\) p, q ∈ I
p ಮತ್ತು q ಗಳು 1 ನ್ನು ಹೊರತುಪಡಿಸಿ ಬೇರೆ ಸಾಮಾನ್ಯ ಅಪವರ್ತನ ಹೊಂದಿದ್ದರೆ, ಸಾಮಾನ್ಯ ಅಪವರ್ತನದಿಂದ ಭಾಗಿಸಬಹುದು, ಆದ್ದರಿಂದ p ಮತ್ತು Q ಗಳು ಸಹ ಅವಿಭಾಜ್ಯಗಳೆಂದು ಭಾವಿಸೋಣ
p = q√5
p² = 5q² (ಎರಡು ಕಡೆ ವರ್ಗ ಮಾಡಿದಾಗ)
5, p² ನ್ನು ಭಾಗಿಸುತ್ತದೆ…… (1)
5, p ಮತ್ತು q ಗಳ ಸಾಮಾನ್ಯ ಅಪವರ್ತನವಾಗಿದೆ.
ಏಕೆಂದರೆ, 5, q ನ್ನೂ ಸಹ ಭಾಗಿಸುತ್ತದೆ.
ಅಂದರೆ p = 5r
5q² = 5²r²
q = 5r² ………(2)
p ಮತ್ತು q ಗಳು ಸಹ ಅವಿಭಾಜ್ಯಗಳು ಎಂಬ ಸತ್ಯಸಂಗತಿಗೆ ವಿರುದ್ಧವಾಗಿದೆ.
√5 ಒಂದು ಅವಿಭಾಜ್ಯ ಸಂಖ್ಯೆಯಾಗಿದೆ.

Solution 23.
ಶೂನ್ಯಗಳ ಮೊತ್ತ = α + β = 1
ಶೂನ್ಯಗಳ ಗುಣಲಬ್ದ = αβ = 1
ವರ್ಗಬಹುಪದೋಕ್ತಿ: x² – (α + β) x + (αβ)
ಯಲ್ಲಿ ಆದೇಶಿಸಿದರೆ x² – 1x + 1
(1, 1) ನ್ನು ಕ್ರಮವಾಗಿ ಶೂನ್ಯತೆಗಳ ಮೊತ್ತ ಹಾಗೂ ಗುಣಲಬ್ದವಾಗಿ ಹೊಂದಿರುವ ಯನ್ನು ಕಂಡುಹಿಡಿಯಿರಿ.

Solution 24.
2x² – 3x + 5 = 0
ax² + bx + c = 0,
a = 2, b = -3, c = 5
ಶೋಧಕ: b² – 4ac = 9 – 4(2)(5) = 9 – 40 = -31 < 0
ಮೂಲಗಳು ಸಂಮಿಶ್ರ ಸಂಖ್ಯೆಗಳಾಗಿವೆ.

Solution 25.

Solution 26.
ಆವೃತ್ತಿ ವಿತರಣಾ ಪಟ್ಟಿ

ಬೌಲರ್ ಗರಿಷ್ಠ ಪಂದ್ಯಗಳಾದ 3 ರಲ್ಲಿ ಪಡೆದ ವಿಕೆಟ್‌ಗಳ ಸಂಖ್ಯೆ 2 ಆಗಿದೆ. ಆದ್ದರಿಂದ ದತ್ತಾಂಶಗಳ ಬಹುಲಕ 2,

Solution 27.
ಫಲಿತಗಣ S = {1, 2, 3, 4, 5, 6}
n(S) = 6
2 & 6 ರ ನಡುವಿನ ಸಂಖ್ಯೆಗಳು A = {3, 4, 5}
n(A) = 3
2 & 6 ರ ನಡುವಿನ ಸಂಖ್ಯೆ ಪಡೆಯುವ ಸಂಭವನೀಯತೆ
P(A) = \(\frac { n(A) }{ n(S) }\) = \(\frac { 3 }{ 6 }\) = \(\frac { 1 }{ 2 }\)

Solution 28.

Solution 29.

Solution 30.

IV.
Solution 31.

ವೃತ್ತದ ಯಾವುದೇ ಬಿಂದುವಿನಲ್ಲಿ ಎಳೆದ ಸ್ಪರ್ಶಕವು, ಸ್ಪರ್ಶ ಬಿಂದುವಿನಲ್ಲಿ ಎಳೆದ ತ್ರಿಜ್ಯಕ್ಕೆ ಲಂಬವಾಗಿರುತ್ತದೆ’
ದತ್ತ: O ಕೇಂದ್ರವುಳ್ಳ ವೃತ್ತಕ್ಕೆ OP ತ್ರಿಜ್ಯ ಮತ್ತು XY ಸ್ಪರ್ಶಕ ಎಳೆದಿದೆ.
ಸಾಧನೀಯ: OP ಯು XY ಗೆ ಲಂಬವಾಗಿದೆ.
ರಚನೆ: P ಯನ್ನು ಹೊರತುಪಡಿಸಿ XY ಮೇಲೆ ಮತೋಂದು ಬಿಂದು Q ಗುರುತಿಸಿ, OQ ಸೇರಿಸಿ.
ಸಾಧನೆ: Q ಬಿಂದುವು ವೃತ್ತದ ಹೊರಭಾಗದಲ್ಲಿರಬೇಕು.
Q ಬಿಂದುವು ವೃತ್ತದ ಒಳಭಾಗದಲ್ಲಿದ್ದರೆ, XY ವೃತ್ತಕ್ಕೆ ಛೇದಕವಾಗುತ್ತದೆಯೇ ಹೊರತು ವೃತ್ತಕ್ಕೆ ಸ್ಪರ್ಶಕವಾಗುವುದಿಲ್ಲ. ಆದ್ದರಿಂದ OQ ಇದು ವೃತ್ತದ ತ್ರಿಜ್ಯ OP ಗಿಂತ ಉದ್ದವಾಗಿದೆ. ಅಂದರೆ OQ > OP.
P ಬಿಂದುವನ್ನು ಹೊರತುಪಡಿಸಿ, XY ಮೇಲಿನ ಎಲ್ಲಾ ಬಿಂದುಗಳಿಗೂ ಇದು ಅನ್ವಯಿಸುವುದರಿಂದ, O ಬಿಂದುವಿನಿಂದ XYನ ಮೇಲಿನ ಇತರೆ ಬಿಂದುಗಳಿಗಿರುವ ದೂರಕ್ಕಿಂತ OP ಯು ಕನಿಷ್ಟ ಉದ್ದ ಹೊಂದಿದೆ
OP ಯು XY ಗೆ ಲಂಬವಾಗಿದೆ.
ಅಥವಾ

ಬಾಹ್ಯಬಿಂದುವಿನಿಂದ ವೃತ್ತಕ್ಕೆ ಎಳೆದ ಸ್ಪರ್ಶಕಗಳ ಉದ್ದವು ಸಮ.
ದತ್ತ: 0ವೃತ್ತಕೇಂದ್ರ, P ಬಾಹ್ಯಬಿಂದು, PQ & PR ಗಳು ಬಾಹ್ಯಬಿಂದು Pನಿಂದ ಎಳೆದ ಸ್ಪರ್ಶಕಗಳು
ಸಾಧನೀಯ: PQ = PR
ರಚನೆ: OP, OR, OP ಸೇರಿಸಿ
ಸಾಧನೆ: ΔOQP ಮತ್ತು ΔORP ಗಳಲ್ಲಿ
OQ = OR (ತ್ರಿಜ್ಯಗಳು)
∠OQP = ∠ORP = 90°
OP = OP (ಉಭಯಸಾಮಾನ್ಯ)
ΔOQP = ΔORP
PQ = PR

Solution 32.

Solution 33.
ರೆಹಮಾನನ ಈಗಿನ ವಯಸ್ಸು = x ಆಗಿರಲಿ
3 ವರ್ಷಗಳ ಹಿಂದೆ, ಅವನ ವಯಸ್ಸು = x – 3
5 ವರ್ಷಗಳ ನಂತರ ಅವನ ವಯಸು = x + 5

Solution 34.

Solution 35.

Solution 36.

Solution 37.

Solution 38.

Solution 39.

Solution 40.

Karnataka SSLC Maths Model Question Papers

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Karnataka State Syllabus SSLC Maths Model Question Paper 1 with Answers in Kannada