1. The problem is to understand what "pure maths" refers to and its scope. 2. Pure mathematics is the branch of mathematics that deals with abstract concepts and theoretical frameworks without necessarily having immediate practical applications. 3. It includes areas such as algebra, analysis, geometry, number theory, and topology. 4. The goal of pure mathematics is to develop mathematical theories and understand their properties and relationships. 5. Unlike applied mathematics, pure mathematics focuses on logical reasoning, proofs, and the intrinsic beauty of mathematical structures. 6. For example, in algebra, one studies structures like groups, rings, and fields, which are foundational to many areas of mathematics. 7. Understanding pure mathematics enhances problem-solving skills and provides tools for advanced study in various scientific fields. Final answer: Pure mathematics is the study of mathematical concepts independently of any application outside mathematics, focusing on theory and abstract structures.