This book is addressed to the students of the A' class of the Unified Lyceum, but also to the fellow mathematicians who teach in this class. It contains questions (with answers) aimed at understanding the corresponding theory in the material provided by the new syllabus (both in Algebra and Geometry). Theory comprehension questions come in various forms:

Simple questions

Multiple choice questions

True-False Questions

Matching questions

Judgement Questions

Questions on mathematical paradoxes

Fill-in-the-blank questions

Misleading questions.

An effort was made so that all the questions in the book cover all the prescribed material, in every detail. Emphasis was still placed on mathematical paradoxes based on relationships and formulas that do not hold or on constraints that are necessary. Thus, the student is given the opportunity to avoid the relevant misconceptions of the theory.