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 ...
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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...