Three sample mathematics questions are presented in this section for each age. The response options for multiple-choice questions are provided as the students saw them, and the oval for the correct answer is filled in. All constructed-response questions in the long-term trend mathematics assessment were scored as correct orincorrect, and the correct response is shown on the answer line.
There are three problems on this section for each age that are designed to probe the students' understanding of basic mathematical concepts, and the students' ability to apply the concepts to certain types of mathematical problems. The students are first shown the definition of enclosed space, and they then examine three domains of mathematical concepts that demonstrate the use of this concept. Next, students work in teams to solve problems with mathematical transformations and use a set of a priori knowledge questions to probe their knowledge. Finally, students work independently to solve problems demonstrating the inverse relationship between volume and surface area. The sections for different ages differ only in the mathematical concepts probed, and students answered questions about their level of understanding of the concepts that they had examined. The questions are based on the problem areas identified in the Mathematics Nation Progress Monitoring reports. All constructed-response questions in the long-term trend mathematics assessment were scored as correct orincorrect, and the correct response is shown on the answer line. d2c66b5586