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Math Formula Sheet - Azka Abdulrauf Math Formula Sheet Presented to Azka Abdulrauf For achieving the highest marks in Mathematics Print This Page Algebra (a + b)² = a² + 2ab + b² (a - b)² = a² - 2ab + b² a² - b² = (a + b)(a - b) Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a (x + a)(x + b) = x² + (a + b)x + ab x² + y² = (x + y)² - 2xy Sum of n natural numbers: S = n(n + 1)/2 Arithmetic Series: Sn = n/2 [2a + (n - 1)d] Factor Theorem & Remainder Theorem basics Geometry Area of Triangle: A = ½ × b × h Area of Circle: A = πr² Perimeter of Circle: C = 2πr Area of Rectangle: A = l × w Pythagoras Theorem: a² + b² = c² Trigonometry sin²θ + cos²θ = 1 tanθ = sinθ / cosθ ...

  Acids and Bases - Virtual Science Academy Virtual Science Academy Short Questions from Chemistry Chapter: Acids and Bases 1. What is an acid? Acids are classified as natural (organic) or mineral. Natural acids come from natural sources, while mineral acids are made from minerals. 2. What is an organic acid? Organic acids are acids obtained from natural sources like fruits and vegetables. 3. What is a mineral acid? Mineral acids are man-made acids prepared from minerals such as sodium chloride. 4. What is an alkali? An alkali is a base that dissolves in water. 5. What are the properties of a base? Bases have a bitter taste, feel slippery, and turn red litmus paper blue. 6. What is neutralization? Neutralization is a chemical reaction where an acid reacts...

 

Virtual Science Academy - Physics Questions Virtual Science Academy Physics Questions Chapter 2 Discuss base and derived quantities and units. Also, make their table. What is vernier calipers? Discuss its working and draw a labeled diagram. What is screw gauge? Discuss its pitch. Also explain its Z.E and Z.C. What is physical balance? How it can be used to find mass of a small stone? What are measuring cylinders? How they can be used? What are significant figures? Write their rules. Chapter 3 Define motion and explain its types. What are vectors? How they can be represented? Explain distance-time and speed-time graphs. Derive the first equation of motion with the help of a graph. Derive the second equation of motion with the help of a graph. Derive the third equation of motion with the help of a graph OR derive an equation of motion which is independent of time. Explain motion of free-falling objects. Chapter 4 S...

  9th Chemistry Guess Paper 9th Chemistry Guess Paper باب نمبر 1 - اہم مختصر جوابی سوالات Define industrial chemistry and analytical chemistry. How can you differentiate between organic and inorganic chemistry? Define mixture. How does a homogeneous mixture differ from a heterogeneous mixture? What is the relative atomic mass? How is it related to gram? What is meant by chemical properties? Give an example. Differentiate between molecule and molecular ion. Differentiate between homoatomic and heteroatomic molecules with an example. Differentiate between atom and ion. Define Avogadro’s number. Differentiate between bio-chemistry and physical chemistry. Differentiate between molecular mass and formula mass. How is the molecular formula derived from the empirical formula? What is meant by mole? State the nu...

  10th Math Guess Paper - Virtual Science Academy 10th Math Guess Paper By Virtual Science Academy Units & Exercises Unit 1: EXAMPLE 2, Ex 1.1: Q No. 1(III), 2(I), 3(I, VI), Ex 1.2: Q 1(VI), Ex 1.3: Q 5, 13 Unit 2: EXAMPLE 1(B), Ex 2.1: Q 1(II, III, IV) +6, Ex 2.2: Q 2 (II, III, VIII) Unit 3: EXAMPLE 2, Ex 3.1: Q 1(V), 4,8, 11(I, III) Unit 4: EXAMPLE 2, EX 4.1: Q 3,4,5,6,8 Unit 5: EX 5.1: Q 3(V), 6(I) Unit 6: EX 6.2: Q 3 Unit 7: EX 7.1: Q 5(II, IV), EX 7.2: Q 1,2,3,4 Important Definitions Quadratic Equation Methods of solving quadratic equation Reciprocal Equation Radical Equation Exponential Equation Simultaneous Equation Symmetric Function Synthetic Divisi...