Many high school students require costly private lessons to prepare for their final exams. These lessons go beyond what regular schools can provide. As a proof of concept, a distance learning program for exam preparation has been created using Moodle. It offers study materials that incorporate gaming and real-life applications. Each lesson begins with a diagnostic test and follows a specific training program to address students' weaknesses. An AI-based intelligent tutoring system has been developed to take on the role of a teacher and assist students with their work. After the system analyzes errors, the tutor provides specific hints and guidelines to help students solve problems accurately. The developed study material was tested on a group of students preparing for their final exams in mathematics.