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Word problems in mathematics are structured to describe a specific scenario or context that typically requires the application of one or more mathematical operations to find a solution. This structure involves providing a real-life situation or a narrative that incorporates relevant information, such as numbers or relationships, which the student needs to analyze.

By presenting the information in this way, the problem enables students to connect mathematical concepts to real-world applications, enhancing their understanding and skills in problem-solving. For instance, a word problem might state that a person has a certain number of apples, and after giving away some, asks how many are left. This clearly defines the scenario and the mathematical operation of subtraction needed to solve it.

Other structures, like riddles, diagrams, or charts, do not align with the standard format of word problems that require interpreting and applying mathematical concepts based on narrative scenarios. Therefore, the description of a scenario where mathematical operations need to be applied is what characterizes word problems effectively.