Fundamentals of Mathematics

This topic covers concepts such as Prime Numbers, Composite Numbers, HCF and LCM of Fractions, Unique Representation of Real Numbers on Number Line, Real Numbers, Irrational Numbers, Rational Numbers, Tests for Divisibility, Coprime Numbers, etc.

This topic covers concepts such as Continued Proportion, Duplicate Ratio, Compounded Ratio, Componendo and Dividendo Rule, Cross Multiplication Method, Direct Proportion, Inverse Proportion, Applications of Ratios in Real Life, etc.

This topic covers concepts such as Rationalization of a Surd, Cube Root of an Expression, and Square Root of a Binomial Quadratic Surd.

This topic covers concepts such as Quadratic Expressions Which are Always Positive/Negative, Solution of Simple Quadratic Inequalities, Linear Inequalities, Algebraic Solutions of Linear Inequalities in One Variable, Irrational Inequalities, etc.

This topic covers concepts such as Partial Fractions of f(x)/g(x) When g(x) Contains Repeated and/or Non-Repeated Linear Factors, Partial Fractions of f(x)/g(x) Where Both f(x) and g(x) are Polynomials, etc.

This topic covers concepts such as Proportionality Constant, Joint Variation, and Inverse Variation.