USE basic level: ready solutions

This section contains solutions to typical USE basic level 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

Calculations and transformations — Operations with numbers, powers, roots, logarithms, trigonometric expressions. Step-by-step explanation.
Equations — Linear, quadratic, rational, exponential and logarithmic equations. Step-by-step explanation.
Word problems — Problems on motion, work, percentages, mixtures and alloys. Step-by-step explanation.
Geometry — Planimetry and solid geometry: triangles, quadrilaterals, circles, solids of revolution. Step-by-step explanation.