Trigonometric functions are essential mathematical functions that establish relationships between the angles of a right-angled triangle and the ratios of its sides. These functions, namely sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc), extend beyond right-angled triangles to describe periodic phenomena, wave motion, and oscillations. This unit explores the definitions of these functions, their properties, graphical representations
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Monday, April 28, 2025
Unit-07: Mathematical Induction and Binomial Theorem | MCQs
This unit explores two significant mathematical concepts: Mathematical Induction and the Binomial Theorem. Mathematical Induction is a powerful proof technique used to establish the truth of a statement for all natural numbers (or a subset thereof). It involves demonstrating a base case and then proving an inductive step that shows if the statement holds for an arbitrary case, it also holds for the subsequent case. The Binomial Theorem provides a systematic way to expand expressions of the form
Unit-06: Permutation and Combination | MCQs
Permutation and combination are essential concepts in combinatorics, a field of mathematics concerned with counting and arranging objects. Permutation refers to the arrangement of objects in a specific order, emphasizing the sequence of selection. Combination, on the other hand, focuses on the selection of objects without regard to their arrangement or order. This unit explores the fundamental principles of counting, introduces the formulas for
Unit-05: Polynomials| MCQs
Polynomials are algebraic expressions consisting of variables and coefficients, combined using addition, subtraction, and multiplication,
Unit-03: Vectors | MCQs
A vector is a quantity possessing both magnitude (size) and direction. Unlike scalars, which are defined by a single numerical value, vectors are crucial for representing physical quantities such as displacement, velocity, acceleration, and force. This unit explores the fundamental concepts of vectors, including their representation, various operations (addition, subtraction,
Tuesday, April 15, 2025
Unit-04: Sequence and Series
Sequences and series are fundamental concepts in mathematics that deal with ordered lists of numbers and the sums of these numbers, respectively. A sequence is simply an ordered collection of elements, while a series is the sum of the terms of a sequence.
Friday, April 11, 2025
Unit-02: Matrices and Determinants | MCQs
Matrices and determinants are fundamental concepts in linear algebra with broad applications across mathematics, physics, engineering, computer science, and various other fields. A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns,
Tuesday, April 8, 2025
Play-08: Ozymandias by Percy Bysshe Shelley
Play-08: Ozymandias by Percy Bysshe Shelley Short Question Answers |
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Theme: A traveler saw a broken statue. It had two huge trunkless legs. Its face was lying in the sand half buried. Still there was an expression of anger on it. The king tried to immortalize himself in the form of a statue. But now the statue is lying broken in the sand. |
Play-07: Times from Ecclesiastes, 3, 1-12
Play-07: Times from Ecclesiastes, 3, 1-12 Short Question Answers |
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Theme: The poem describes life as unfolding according to a predetermined schedule. Everything occurs at a specific, appointed time. Nature has orchestrated the universe to maintain control and order. Birth and death, happiness and sorrow, are all subject to a fixed timeline. |
Unit-01: Complex Numbers | MCQs
Unit-01: Complex Numbers introduces the fascinating world of complex numbers, starting with their definition and representation. You'll learn about real and imaginary parts, equality, and master basic algebraic operations.
Monday, April 7, 2025
Ch-13: Relativity - Short Question Answers
Ch-13 Relativity revolutionizes our understanding of space, time, and gravity by introducing Einstein's groundbreaking theories. The chapter begins with Galilean relativity and its limitations in explaining electromagnetic phenomena, setting the stage for Einstein's Special Theory of Relativity
Ch-12: Electromagnetism - Short Question Answers
Chapter 12, Electromagnetism, explores the fundamental connection between electricity and magnetism. It introduces the concept that moving electric charges create magnetic fields and that changing magnetic fields induce electric fields (Faraday's Law). The chapter likely covers magnetic forces on moving charges and current-carrying wires, the properties of magnetic fields
Ch-11: Electricity - Short Question Answers
Chapter 11, Electricity, explores the flow of electric charge and its associated phenomena. It introduces fundamental concepts like electric current, voltage (potential difference driving the current), and resistance (opposition to current flow), as defined by Ohm's Law. The chapter likely covers DC and AC circuits, series and parallel connections of resistors,
Ch-10: Electrostatics - Short Question Answers
Electrostatics, delves into the phenomena associated with stationary or slow-moving electric charges. It explores the fundamental concept of electric charge, its properties (positive and negative), and the forces that arise between them, as described by Coulomb's Law. The chapter likely covers the idea of electric fields as a region of space where an electric charge experiences
Ch-09: Waves - Short Question Answers
Waves introduces the fundamental principles of wave motion, exploring how energy propagates through different media without net material transport. The chapter begins by classifying waves into mechanical waves (requiring a medium, e.g., sound, water ripples) and electromagnetic waves
Sunday, April 6, 2025
Ch-08: Heat and Thermodynamics - Short Question Answers
This chapter explores the fundamental principles governing heat transfer, thermal properties of matter, and the laws of energy conversion. It bridges microscopic particle behavior (kinetic theory) with macroscopic systems (engines, refrigerators),
Ch-07: Deformation of Solids - Short Question Answers
Ch-05: Work and Energy - Short Question Answers
Work and Energy explores the fundamental concepts that govern the transfer and transformation of energy in physical systems, forming the cornerstone of mechanics. The principle of conservation of mechanical energy (total K+U remains constant in isolated systems) is derived and applied to problems like pendulum motion and free-falling objects.
Ch-06: Fluid Mechanics - Short Question Answers
Fluid Mechanics investigates the behavior of fluids (liquids and gases) at rest and in motion, introducing fundamental principles essential for engineering, meteorology, and biomechanics. The chapter begins by defining key properties like density (ρ), pressure (P), and viscosity (η), establishing Pascal's Law for pressure transmission
Ch-04: Rotational and Circular Motion - Short Question Answers
Ch-04: Rotational and Circular Motion delves into the dynamics of objects moving along curved paths or rotating about an axis, introducing fundamental concepts that distinguish these motions from linear movement. Practical examples (e.g., centrifuges, rolling wheels)
Ch-03: Translatory Motion - Short Question Answers
Ch-02: Vectors - Short Question Answers
Ch-01: Measurement - Short Question Answers
Ch-01: Measurement
Short Question Answers
Measurement introduces the fundamental concepts of quantifying physical quantities, which form the basis of all scientific study. The chapter begins by distinguishing between base quantities (like length, mass, and time) and derived quantities (such as speed and force)
Ch-14: Particle Physics | MCQs
This chapter state that nucleon number and charge are conserved in nuclear processes. Describe the composition, mass and charge of alpha and gamma radiations. Explain that an antiparticle has the same mass but opposite charge. Describe
Ch-13: Relativity | MCQs
This chapter distinguish between inertial and non-inertial frames of reference. Describe the significance of Einstein's assumption of the constancy of the speed of light. Describe that if c is constant then space and time become relative. State the postulates of Special Relativity.
Ch-12: Electromagnetism | MCQs
Ch-12: Electromagnetism unifies the study of electricity and magnetism, revealing their deep interconnection through Maxwell’s Equations. This chapter explores how moving charges create magnetic fields and how changing magnetic fields induce electric currents, forming the basis for modern technology like motors, generators, and transformers.
Ch-11: Electricity | MCQs
Ch-11: Electricity is the branch of physics that studies the flow of electric charge and its applications in circuits, devices, and power systems. This chapter builds on electrostatics to explore current electricity, covering conductors, resistance, circuits, and power distribution—essential for understanding modern technology and electrical engineering. This chapter state the use for a current-carrying conductor.
Ch-10: Electrostatics | MCQs
This chapter state that an electric field is an example of a field of force. Define and calculate electric field strength. Represent an electric field by means of field lines. Describe the effect of a uniform electric field on the motion of charged particles. Explain how a Faraday cage works. State and apply Coulomb's law. Describe how the ferrofluids work. Electrostatics is the study of electric charges at rest and the forces, fields, and potentials arising from their interactions.
Ch-09: Waves | MCQs
Ch-09: Waves represent one of the most fundamental concepts in physics, describing the propagation of energy through a medium or space without permanent displacement of matter. This chapter explores the characteristics, behavior, and applications of various wave types, forming the foundation for understanding sound, light, and other wave phenomena. Explore wave mechanics
Ch-08: Heat and Thermodynamics | MCQs
Chapter 8: Heat and Thermodynamics explores the fundamental principles governing energy transfer, thermal properties of matter, and the laws that dictate energy transformations. The chapter begins with thermal expansion (linear: ΔL = αL₀ΔT; volumetric: ΔV = βV₀ΔT) and heat transfer mechanisms (conduction, convection, radiation).
Ch-07: Deformation of Solids | MCQs
This chapter explains distinguish between the structures of crystalline, glassy, amorphous and polymeric solids. Describe that deformation of solids in one dimension. Define and use the terms stress, strain and the Young's modulus. Describe an experiment to determine the Young modulus of a metal wire.
Ch-06: Fluid Mechanics | MCQs
Fluid Mechanics studies the behavior of fluids (liquids and gases) at rest (fluid statics) and in motion (fluid dynamics). The chapter begins with fundamental properties like density (ρ), pressure (P), and viscosity (η), then explores: Pascal’s Law: Pressure transmission in confined fluids, Archimedes’ Principle: Buoyant force, Bernoulli’s Equation: Energy conservation in flowing fluids, Viscous drag (Stokes’ Law) and turbulence (Reynolds number), Applications range from hydraulic systems to aerodynamics, with problem-solving focused on manometers, flow rates, and lift forces.
This chapter covers use of Archimedes Principle of flotation. Justify how ships are engineered to float in the sea. Define and apply the terms steady. Explain and apply Bernoulli's equation for horizontal and vertical fluid flow. Explain why real fluids are viscous fluids. Describe how viscous forces in a fluid cause a retarding force on an object moving through it.
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Ch-05: Work and Energy | MCQs
Work and Energy explores the relationship between force, displacement, and energy transformations, covering kinetic/potential energy, work-energy theorem, and power. This chapter explores the fundamental concepts that govern the transfer and transformation of energy in physical systems, forming the cornerstone of mechanics.
Saturday, April 5, 2025
Ch-04: Rotational and Circular Motion | MCQs
This chapter delves into the dynamics of objects moving along curved paths or rotating about an axis, introducing fundamental concepts that distinguish these motions from linear movement. The chapter begins by defining uniform circular motion (UCM), where an object moves at constant speed
Thursday, April 3, 2025
Play-03: The Oyster and the Pearl by William Saroyan
Play-03: The Oyster and the Pearl by William Saroyan Exercise Question / Answers |
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"The Oyster and the Pearl" is a poignant and introspective one-act play by William Saroyan, a celebrated American playwright and writer. This play is a beautiful and contemplative exploration of human connection, love, and vulnerability, told through the tender and fleeting relationship of a young couple. With Saroyan's signature lyrical prose |
Play-02: Visit to a Small Planet by Gore Vidal
Play-02: Visit to a Small Planet by Gore Vidal Exercise Question / Answers |
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"The Oyster and the Pearl" is a poignant and whimsical one-act play by William Saroyan, exploring the human condition through a simple yet profound narrative. The play tells the story of a young couple's tender and fleeting relationship, set against the backdrop of a bustling city. Through Saroyan's signature lyrical prose and nuanced characterizations, "The Oyster and the Pearl" delves into themes of love, vulnerability, and the transformative power of human connection. |
Wednesday, April 2, 2025
Play-01 Heat Lightning by Robert F. Carroll
Play-01: Heat Lightning by Robert F. Caroll Exercise Question / Answers |
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"Heat Lightning" is a poignant and powerful play by Robert F. Carroll, that explores the complexities of human relationships, family dynamics, and the fragility of the human psyche. As two strangers take shelter from a storm, tensions rise, secrets unravel, |
Store-15: The Angel and the Author - and Others
Story-15: The Angel and the Author - and Others by Jerome K. Jerome Question / Answers |
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"The Angel and the Author – and Others" by Jerome K. Jerome is a collection of humorous essays and stories written in the late 19th century. The book showcases Jerome's characteristic wit as he navigates themes of morality, society, and the absurdity of human nature through a blend of fictional narratives and personal observations. |
Story-14: Overcoat by Ghulam Abbas
Story-14: Overcoat by Ghulam Abbas Question / Answers |
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"The Overcoat" is a satirical short story by Ghulam Abbas, a renowned Pakistani writer. The story revolves around a poor but proud clerk, Mirza, who buys an expensive overcoat to impress his colleagues and superiors. |
Story-13: God be Praised by Ahmed Nadeem Qasmi
God be Praised by Ahmed Nadeem Qasmi Question / Answers |
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"God Be Praised" is a thought-provoking short story by Ahmed Nadeem Qasmi, a renowned Pakistani writer. The story revolves around Maulvi Abul Barkat, a poor Imam of a masjid, who struggles to make ends meet and provide for his family. |
Tuesday, April 1, 2025
Story-12: The Gift of Magi by O.Henry
Ch-03: Translatory Motion | MCQs
This chapter guides you derive the equation of motion. Solve problem using the equations of motion. Evaluate and analyze projectile motion in the absence of air resistance. Predict qualitatively how air resistance affects projectile motion. Apply the principle of conservation of momentum solve simple problems.
Friday, March 28, 2025
Ch-02: Vectors | MCQs
Thursday, March 27, 2025
Ch-01: Measurement | MCQs
Wednesday, March 12, 2025
Unit-05: Clean Water and Sanitation
Unit-05: Clean Water and Sanitation | |
1 | What are the effect of drinking unclean water and bad sanitation on communities? |
Ans: | Drinking unclean water and having poor sanitation can lead to severe public health crises. Communities facing these issues suffer from increased incidences of waterborne diseases such as diarrhea, cholera and dysentery. |
Unit-04: Butterflies
Unit-04: Butterflies | |
1 | Discuss the theme of the story in your own words: |
Ans: | The theme of the story is the loss of innocence and the harsh realities of life. The write appreciates the beauty of butterflies but sees how cruelly they are treated at the orphanage. |
Monday, March 10, 2025
Unit-03: The Wind
Unit-03: The Wind | |
1 | No one can see the wind. Discuss how we can feel its presence? |
Ans: | We can feel the presence of the wind through its effects on our surroundings. The wind pushes against us, makes kites fly high, and moves birds in the sky. We can hear it blowing and feel it on our skin. The wind also moves leaves and trees. |
Wednesday, March 5, 2025
Unit-02: Shooting Stars
Unit-02: Shooting Stars | |
1 | Define meteors? |
Ans: | Meteors are small pieces of comets that exploded long ago and travel through space. They follow large, looping paths similar to the original comet’s orbit. When they enter Earth’s atmosphere, friction makes them white-hot. This causes them to appear as bright streaks of light in the sky. |
Monday, March 3, 2025
Unit-01: Family Values in Pakistan
Unit-01: Family Values in Pakistan | |
Exercise Question / Answers | |
1 | Discuss the characteristics of family as a ‘bond of relationships’. |
Ans: | The family as ‘bond of
relationships’ has the following characteristics:
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Tuesday, February 4, 2025
Ch-08: Entrepreneurship in Digital Age | MCQs
This chapter delves into the pivotal concept of prototyping, underscoring its crucial role in the development process as a means of transforming abstract ideas into tangible, testable, and refineable solutions. Through a hands-on approach, readers acquire the skills to create, test, and iteratively refine prototypes for business ideas, navigating the iterative design process with confidence.
Ch-07: Digital Literacy | MCQs
This chapter empowers readers with the expertise to navigate the vast expanse of digital information with precision and accuracy, conducting advanced searches that yield relevant and reliable results. By mastering the art of advanced searching, readers can efficiently locate credible sources, filter out irrelevant information, and uncover hidden gems that inform their research and decision-making. Moreover, this chapter provides readers with the knowledge and skills to design effective data-collection approaches, enabling them to gather original data that supports informed decision-making.
Ch-06: Impacts of Computing | MCQs
This chapter plays a vital role in promoting media literacy and critical thinking skills, emphasizing the importance of responsible information sourcing in today's digital age, where readers learn to distinguish between reliable and unreliable sources, developing the ability to navigate the vast expanse of online information with confidence and discernment. Furthermore, the chapter explores the profound impact of computers on global connectivity, highlighting how they have revolutionized the way people communicate, interact, and share information, bridging geographical divides and facilitating unprecedented levels of collaboration and exchange.
Ch-05: Application of Computer Science | MCQs
This chapter provides a comprehensive exploration of the technological foundations of three pivotal innovations: the Internet of Things (IoT) systems, Cloud computing, and Blockchain, examining the core technologies driving these advancements and their transformative impact on modern society. Furthermore, the chapter delves into the complex interplay between technology and society, investigating how the diverse cultural values, interests, and biases of various stakeholders influence the design of Artificial Intelligence (AI) systems.
Ch-04: Data and Analysis | MCQs
This chapter bridges the gap between theoretical concepts and real-world applications, showcasing the practical significance of model building in everyday scenarios and highlighting its importance and relevance in driving informed decision-making and solving complex problems. Additionally, the chapter explores the critical aspect of experimental design in data science, providing readers with a comprehensive understanding of its underlying concepts, enabling them to design and implement effective experiments that yield reliable and meaningful insights.
Ch-03: Programming Fundamentals | MCQs
This chapter lays the groundwork for understanding the basics of computer programming, emphasizing its importance and diverse applications in today's digital landscape. By providing a step-by-step guide on writing and executing simple programs in Python, a widely-used and versatile programming language, readers gain hands-on experience with programming concepts and develop a solid foundation for further learning. Furthermore, the chapter introduces Turtle Graphics, a Python library that enables users to create and draw shapes, allowing readers to tap into their creative potential and develop a deeper visual understanding of programming concepts.
Ch-02: Computational Thinking and Algorithm | MCQs
Ch-01: Computer System - MCQs
This comprehensive chapter provides an in-depth exploration of fundamental concepts in computer science, laying a solid foundation for further study and application. The chapter begins by delving into the basics of digital logic, including logic gates, truth tables, and Boolean operators, which are essential for understanding computer hardware and programming. Building on this foundation, the chapter examines systems design and software development methodologies, guiding readers through the various stages involved in designing, developing, and testing complex systems.
Ch-08: Entrepreneurship in Digital Age
This chapter introduces the concept of prototyping, highlighting its significance in the development process. Readers learn to create, test, and refine prototypes for business ideas, iterating and improving their designs based on feedback and results.
Ch-07: Digital Literacy
Ch-06: Impacts of Computing
Ch-05: Application of Computer Science
This chapter explores the core technologies driving IoT systems, Cloud computing, and Blockchain. Additionally, it examines how the diverse cultural, values, and interests of various stakeholders influence the design of Artificial Intelligence (AI) systems, highlighting the importance of considering these factors in AI development.
Ch-04: Data and Analysis
This chapter focuses on the practical applications of model building in real-world scenarios, highlighting its importance and relevance. It also delves into experimental design in data science, enabling readers to understand and explain its concepts. Furthermore, the chapter provides guidance on analyzing existing datasets to generate summary statistics and data visuals, equipping readers with essential skills in data analysis and interpretation.
Ch-03: Programming Fundamentals
This chapter serves as an introduction to the fundamentals of computer programming, highlighting its significance and applications. It provides a step-by-step guide on how to write and execute simple programs in Python, a popular programming language. Additionally, the chapter explores Turtle Graphics, a Python library that enables users to create and draw shapes, fostering creativity and visual understanding. Furthermore, it emphasizes the importance of libraries in programming and teaches users how to utilize simple libraries in Python, laying the groundwork for more advanced programming concepts.
Ch-02: Computational Thinking and Algorithms
This chapter outlines a comprehensive approach to creating computational artifacts for problem-solving. The process begins with planning, where the problem is defined and a high-level design is conceived. The artifact is then developed through algorithm design, coding, and user interface creation. Systematic testing follows, involving test case development, unit testing, integration testing, and system testing. Finally, the artifact is refined through debugging and performance enhancement, ensuring an effective, reliable, and user-friendly solution.