Quantitative Reasoning: Geometry and Data
This area covers area and perimeter, the Pythagorean theorem, angle relationships, and basic statistics such as mean, median, and mode. Formulas are provided infrequently, so memorizing the core ones is worthwhile. Data questions test careful reading as much as calculation.
Key Geometry Formulas
Know that the area of a circle is pi times the radius squared and the Pythagorean theorem relates the legs and hypotenuse of a right triangle. The angles of a triangle always sum to 180 degrees, which lets you solve ratio-based angle problems. Recognize common right triangles such as 3-4-5 and 6-8-10.
Statistics Basics
The mean is the sum divided by the count, so you can recover the sum by multiplying the mean by the count. The median is the middle value of an ordered list, and the mode is the most frequent value. Order the data first before reading off the median.