In this work, a structured set of hard secondary-level mathematics questions was developed to strengthen learners’ analytical thinking, problem-solving skills, and conceptual understanding. The exercises covered a wide range of topics aligned with secondary school curriculum standards, including number theory, algebra, indices, fractions, ratios, percentages, linear equations, quadratic equations, inequalities, and word problems. Each question was carefully selected to challenge students beyond basic computation and encourage logical reasoning. For every problem, a detailed step-by-step solution was provided to help learners understand the working process rather than memorizing answers. Concepts such as prime factorization were used to find the Highest Common Factor (HCF) and Lowest Common Multiple (LCM). Simultaneous equations were solved using substitution methods to demonstrate algebraic manipulation and accuracy. Quadratic equations were factorized to identify roots..............