BSE in mathematics: ready solutions

This section contains solutions to typical BSE problems in mathematics with step-by-step explanations. All problems are written independently, with neat answers, and are not tied to any specific textbook or exam variant. Each solution includes the condition, a full solution with comments, and the answer.

Sections

Algebra — Numbers and calculations, algebraic expressions, equations and inequalities, functions and graphs. Step-by-step explanation.
Geometry — Planimetry: triangles, quadrilaterals, circles, vectors. Step-by-step explanation.
Real-life mathematics — Practice-oriented problems: percentages, ratios, charts, tables, choosing the best option. Step-by-step explanation.