HARDER PROBLEMS FOR CLASSES VIII- X Algebra

This collection is designed for secondary school students (Classes VIII–X) preparing for Math Olympiads and competitive exams. It brings together a variety of challenging algebra problems that go beyond routine textbook exercises and test deeper understanding, creativity, and problem-solving skills.

👉 Key Features of the Set

• Classical Identities – Problems based on famous results such as Sophie Germain’s identity.

• Equation Manipulation – Creative use of algebraic transformations and substitutions.

• Inequalities & Rationalization – Strengthening algebraic reasoning with proofs and simplifications.

• Number Theory Links – Problems connecting algebra with concepts of divisibility and composite numbers.

• Summations & Series – Telescoping series and rational number expansions.

• Olympiad Flavor – Each problem is selected to stimulate lateral thinking and develop advanced techniques.

This set not only sharpens algebraic manipulation but also trains students to recognize patterns, symmetry, and hidden structures in problems—an essential skill for Olympiads and higher-level mathematics.