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This study explored secondary school students' abilities to formulate problems based on given arithmetic and algebra questions across different grade levels. By analyzing the complexity, originality, and accuracy of student-created problems, the research highlights how encouraging problem formulation can foster critical thinking, deeper understanding, and adaptability in mathematics education. Problem-posing as a pedagogical approach enhances students' conceptual understanding, engagement, and creativity. Integrating problem-posing into the curriculum, through various teaching methods and instructional aids, provides opportunities for students to engage in mathematical thinking and serves as a formative assessment tool. This research also examines the variations in students' problem-posing abilities across different content areas and grade levels to identify patterns in their cognitive engagement.