10th Quarterly Question Paper 2023 PDF Download

The 10th quarterly exams are an important part of a student’s academic journey. Preparing for these exams requires practice and understanding of various subjects. This guide aims to assist students by providing the essential question papers and answers. Below are subject-specific questions and answers for the 10th quarterly exams of 2023.

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Mathematics

Question: What is the Pythagorean theorem?

Answer: The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Question: Explain the concept of trigonometric ratios.

Answer: Trigonometric ratios relate the angles of a right-angled triangle to the lengths of its sides. The basic ratios are sine, cosine, and tangent.

Question: What is the formula for the area of a triangle?

Answer: The area of a triangle is given by the formula: Area = (1/2) × base × height.

Question: Define the term “polynomial.”

Answer: A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Question: How do you solve linear equations?

Answer: To solve linear equations, you isolate the variable on one side of the equation by performing inverse operations.

Question: What is the quadratic formula?

Answer: The quadratic formula is used to find the solutions of a quadratic equation. It is given by: x = (-b ± √(b² – 4ac)) / 2a.

Question: Explain the difference between mean, median, and mode.

Answer: The mean is the average of a set of numbers. The median is the middle value when the numbers are ordered, and the mode is the value that appears most frequently.

Question: What is a rational number?

Answer: A rational number is any number that can be expressed as a fraction, where both the numerator and denominator are integers.

Question: How do you calculate the perimeter of a rectangle?

Answer: The perimeter of a rectangle is calculated by the formula: Perimeter = 2 × (length + width).

Question: What is the difference between permutations and combinations?

Answer: Permutations are arrangements where order matters, while combinations are selections where order does not matter.

Question: How do you find the volume of a cylinder?

Answer: The volume of a cylinder is given by the formula: Volume = π × radius² × height.

Question: Define an arithmetic progression.

Answer: An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant.

Question: What is the law of exponents?

Answer: The law of exponents provides rules for performing operations with powers. For example, a^m × a^n = a^(m+n).

Question: How do you solve simultaneous equations?

Answer: Simultaneous equations are solved by either substitution, elimination, or matrix methods.

Question: What is the difference between direct and inverse variation?

Answer: In direct variation, two variables increase or decrease together, while in inverse variation, one variable increases as the other decreases.

Question: Explain the concept of a circle’s circumference.

Answer: The circumference of a circle is the distance around the circle and is calculated by the formula: Circumference = 2π × radius.

Question: What is the distributive property in mathematics?

Answer: The distributive property states that a × (b + c) = a × b + a × c.

Question: Define a factor of a number.

Answer: A factor of a number is any integer that divides the number exactly without leaving a remainder.

Question: How do you convert fractions to decimals?

Answer: To convert a fraction to a decimal, divide the numerator by the denominator.

Question: What is the sum of angles in a triangle?

Answer: The sum of the angles in a triangle is always 180°.

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Science

Question: What is the law of conservation of mass?

Answer: The law of conservation of mass states that mass cannot be created or destroyed in a chemical reaction; it is conserved.

Question: Explain Newton’s first law of motion.

Answer: Newton’s first law of motion states that an object will remain at rest or in uniform motion unless acted upon by an external force.

Question: What is the difference between an acid and a base?

Answer: Acids release hydrogen ions (H+) when dissolved in water, while bases release hydroxide ions (OH-).

Question: Define the process of photosynthesis.

Answer: Photosynthesis is the process by which plants use sunlight, carbon dioxide, and water to produce glucose and oxygen.

Question: What is the function of the circulatory system?

Answer: The circulatory system transports blood, nutrients, gases, and wastes throughout the body.

Question: What is the structure of an atom?

Answer: An atom consists of a nucleus, made up of protons and neutrons, surrounded by electrons in orbitals.

Question: How do we measure the speed of light?

Answer: The speed of light is measured using various methods, including the time-of-flight technique or by using lasers and mirrors.

Question: What are the three states of matter?

Answer: The three states of matter are solid, liquid, and gas.

Question: Explain the process of digestion.

Answer: Digestion is the breakdown of food into smaller components that can be absorbed and used by the body.

Question: What is the role of the heart in the circulatory system?

Answer: The heart pumps blood throughout the body, supplying oxygen and nutrients to tissues and removing waste products.

Question: What is an ecosystem?

Answer: An ecosystem is a community of living organisms interacting with their physical environment.

Question: What is the difference between renewable and non-renewable energy sources?

Answer: Renewable energy sources are naturally replenished, such as solar or wind power, while non-renewable sources like coal or oil are finite.

Question: What are the major components of blood?

Answer: The major components of blood are red blood cells, white blood cells, plasma, and platelets.

Question: What is the process of respiration?

Answer: Respiration is the process by which organisms break down glucose and oxygen to produce energy, releasing carbon dioxide as a byproduct.

Question: Explain the concept of density.

Answer: Density is the mass of an object per unit volume, calculated as Density = Mass/Volume.

Question: What is the greenhouse effect?

Answer: The greenhouse effect is the trapping of heat in the Earth’s atmosphere due to gases like carbon dioxide, causing global warming.

Question: How does gravity work?

Answer: Gravity is a force that attracts objects toward one another, with the force being stronger for objects with greater mass.

Question: What is the difference between conductors and insulators?

Answer: Conductors allow the flow of electric current, while insulators resist it.

Question: What is the periodic table?

Answer: The periodic table is a chart that organizes elements based on their atomic number and properties.

Question: What are acids and alkalis in terms of pH?

Answer: Acids have a pH less than 7, while alkalis have a pH greater than 7.

Question: What is the role of chlorophyll in photosynthesis?

Answer: Chlorophyll absorbs sunlight and converts it into chemical energy during photosynthesis.

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Social Science

Question: Who was the first President of India?

Answer: The first President of India was Dr. Rajendra Prasad.

Question: What is the main function of the judiciary?

Answer: The judiciary interprets the laws and ensures justice is served.

Question: What was the significance of the Quit India Movement?

Answer: The Quit India Movement was a call for India to demand an end to British rule.

Question: Define democracy.

Answer: Democracy is a system of government where the citizens elect their leaders through free and fair elections.

Question: What is the role of the Constitution?

Answer: The Constitution lays down the fundamental principles, rights, and responsibilities for the governance of a country.

Question: What is the Green Revolution?

Answer: The Green Revolution was a period of increased agricultural productivity, especially through the use of high-yielding varieties of crops.

Question: What is the difference between rural and urban settlements?

Answer: Rural settlements are located in the countryside, while urban settlements are in cities or towns.

Question: What is the importance of the National Freedom Movement?

Answer: The National Freedom Movement was crucial in India’s struggle for independence from British colonial rule.

Question: What is the role of the legislature?

Answer: The legislature makes and passes laws that govern the country.

Question: Define the term “globalization.”

Answer: Globalization refers to the process of increased interconnectedness and interdependence of the world’s markets and businesses.

Question: What was the Industrial Revolution?

Answer: The Industrial Revolution was a period of major industrialization and economic change that began in the late 18th century.

Question: What is the importance of natural resources?

Answer: Natural resources are crucial for the survival of all living organisms and are used in the production of goods and services.

Question: What are the main functions of the government?

Answer: The government ensures law and order, provides public services, and maintains national security.

Question: What is the significance of the Indian Independence Act of 1947?

Answer: The Indian Independence Act of 1947 marked the end of British rule and the creation of India and Pakistan as independent nations.

Question: What is secularism?

Answer: Secularism is the principle that religion should not interfere with government affairs and vice versa.

Question: Define the term “cultural diversity.”

Answer: Cultural diversity refers to the existence of different cultural groups within a society.

Question: What is the significance of the United Nations?

Answer: The United Nations is an international organization aimed at promoting peace, security, and cooperation among member countries.

Question: What is the role of the media in democracy?

Answer: The media plays a vital role in informing the public, shaping public opinion, and holding the government accountable.

Question: What are the causes of environmental degradation?

Answer: Environmental degradation is caused by deforestation, pollution, overuse of natural resources, and industrialization.

Question: What are the basic human rights?

Answer: Basic human rights include the right to life, liberty, equality, and freedom of speech.

Question: What was the significance of the non-cooperation movement?

Answer: The non-cooperation movement was a peaceful form of protest against British rule and aimed to boycott British goods.