Basic algebra, solving linear and quadratic equations, and inequalities. Word Problems & Applications Ratios & Proportions: Ratio, proportion, and rates.

. It focuses on the mathematical and logical components that often determine high scores in competitive admissions.

Quantitative and analytical reasoning are two interconnected skills that enable individuals to analyze data, identify patterns, and make informed decisions. Quantitative reasoning involves the ability to understand and work with numerical data, while analytical reasoning involves the ability to analyze and interpret data to arrive at a logical conclusion.

For students aiming for top-tier universities in Pakistan—such as NUST, FAST, GIKI, or LUMS—mastering the quantitative and analytical sections is often the deciding factor for admission. The KIPS Quantitative and Analytical Reasoning book (often sought as a PDF for digital study) is widely considered the gold standard for this preparation.