Formula Vault

Mensuration Area of a Circle The space enclosed inside a circle of radius r. Mensuration Area of a Rectangle Area of a rectangle of length l and breadth b. Mensuration Area of a Triangle Area of a triangle from its base and height. Mensuration Volume of a Cylinder The space inside a cylinder of radius r and height h. Mensuration Volume of a Sphere The space inside a sphere of radius r. Arithmetic Average (Mean) The central value of a set of numbers. Arithmetic Percentage Expresses a part of a whole out of 100. Arithmetic Profit Percentage Profit expressed as a percentage of the cost price. Arithmetic Simple Interest Interest earned on a principal at a flat annual rate. Arithmetic Speed, Distance & Time Relates how far, how fast and how long. Algebra nth Term of an AP The value of the nth term of an arithmetic progression. Algebra Quadratic Formula Finds the roots of any quadratic equation ax² + bx + c = 0. Algebra Sum of an AP The sum of the first n terms of an arithmetic progression. Geometry Pythagorean Theorem Relates the three sides of a right-angled triangle.

Matter Density Mass packed into a given volume. Matter Pressure Force spread over an area. Mechanics First Equation of Motion Final velocity under constant acceleration. Mechanics Momentum The “quantity of motion” of a moving object. Mechanics Newton’s Second Law Net force equals mass times acceleration. Mechanics Power The rate of doing work (energy per unit time). Mechanics Work Done Work equals force times distance moved in its direction. Energy Kinetic Energy The energy an object has because of its motion. Electricity Ohm’s Law Voltage equals current times resistance.

Physical Chemistry Ideal Gas Law Links pressure, volume, amount and temperature of a gas. Solutions Molarity (Concentration) Moles of solute per litre of solution. Solutions pH of a Solution Measures how acidic or basic a solution is. Mole Concept Number of Moles Converts a mass of substance into moles.

Finance Compound Interest Final amount when interest is added back each period. Ratios Current Ratio Measures a firm’s short-term ability to pay its bills. Depreciation Straight-Line Depreciation Equal yearly fall in the value of an asset. Fundamentals The Accounting Equation The foundation of double-entry bookkeeping.