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This manual is compiled in accordance with the Model Curricula for Primary Schools developed under the guidance of R. B. Shyian and O. Y. Savchenko, approved by the Ministry of Education and Science of Ukraine. The material in the collection is divided into topics. This will allow the teacher to easily select non-standard developmental tasks for each lesson. The tasks presented in the manual are effective for the development of logical thinking, attention, mathematical intuition, culture of thinking, and language. They are aimed at forming the ability to competently and reasonably justify one's actions, consistently and evidence-based present thoughts, put forward and test various hypotheses."The manual is focused on the traditional system of education, and can be successfully used in the study of variable programmes. For students of grades 1-4, teachers, parents.