Time-fractional nonlinear partial differential equations (TFNPDEs) with proportional delay are commonly used for modeling real-world phenomena like earthquake, volcanic eruption, and brain tumor dynamics. These problems are quite challenging, and the transcendental nature of the delay makes them even more difficult. Hence, the development of efficient numerical methods is open for research. In this paper, we use the concepts of Laplace-like transform and variational theory to develop a new numerical method for solving TFNPDEs with proportional delay. The stability and convergence of the method are analyzed in the Banach sense. The efficiency of the proposed method is demonstrated by solving some test problems. The numerical results show that the proposed method performs much better than some recently developed methods and enables us to obtain more accurate solutions.

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This article purports to analyze the content validity of model examinations for grade 10 mathematics. The study looked at the model tests to evaluate if they were indicative of the course content and emphasized on the syllabus’ learning outcomes. A survey design with six years of mathematics model exam, syllabi, and textbooks served as the key data sources was considered in the study. Kendall’s coefficient of concordance and chi-square test of statistical treatment were used to analyze the quantitative data obtained. In addition, the qualitative data were evaluated using narration and description. The study’s statistical findings revealed that there was no relationship between test items and learning outcomes in cognitive domain categories or main textbook content. As a result, the exam items did not correspond to the syllabus’s objectives and content. Furthermore, the qualitative data revealed that the test items were unclear, poorly laid out, and multidimensional, as well as having low content validity.