Compulsory Mathematics Articles
Triangles and Quadrilaterals
Parallelograms on the same base and between the same parallel lines have equal area. A triangle is h...
Indices
Exponential equations are solved by making the bases equal on both sides; if bases are same, indices...
Quadratic Equation
Quadratic equation → ax² + bx + c = 0 Solve by: factorisation (easy numbers) completing square...
Algebraic Fraction
Simplify single fraction → cancel common factors using identities (x²−y², x³±y³). Add/subtract → sa...
Sequence and Series
Arithmetic sequence: constant difference d; nth term = a + (n–1)d; sum Sₙ = n/2 (a + l) or n/2 [2a +...
Area and Volume
Square-based pyramid: TSA = a(a + 2l), Volume = (1/3)a²h Cone: TSA = πr(r + l), Volume = (1/3)πr²h,...
Currency and Exchange Rate
Currency is the official money of a country used for buying goods and services. When traveling or do...
Growth and Depreciation
Population growth and depreciation are like opposite processes in mathematics. Population grows over...
Compound Interest
Compound interest is the interest calculated on the principal as well as on the accumulated interest...
Sets
A set is a well-defined collection of objects, written either in roster form or set-builder form. Se...