

Simplify, transform or estimate one or both of the given quantities only as needed to compare them. Don't waste time performing needless computations to compare the two quantities. Also, if you determine that one quantity is greater than the other, make sure you carefully select the corresponding choice and don’t reverse the first two choices. Quantitative Comparison questions always have the same answer choices, so get to know them, especially the last choice, "The relationship cannot be determined from the information given." Never select this last choice if it’s clear the values of the two quantities can be determined by computation. Become familiar with the answer choices.
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To learn more about conventions and assumptions, download Mathematical Conventions (PDF).

For example, the positive direction of a number line is to the right, distances are nonnegative and prime numbers are greater than 1. The mathematical symbols, terminology and conventions used in the Quantitative Reasoning measure are standard at the high school level. The Math Review (PDF) provides detailed information about the content of the Quantitative Reasoning measure. It doesn’t include trigonometry, calculus or other higher-level mathematics. The content in these areas includes high school mathematics and statistics at a level that is generally no higher than a second course in algebra. These topics are typically taught in high school algebra courses or introductory statistics courses. counting methods, such as combinations, permutations and Venn diagrams.random variables and probability distributions, including normal distributions.elementary probability, such as probabilities of compound events and independent events.interpretation of data in tables and graphs, such as line graphs, bar graphs, circle graphs, boxplots, scatterplots and frequency distributions.basic descriptive statistics, such as mean, median, mode, range, standard deviation, interquartile range, quartiles and percentiles.The ability to construct proofs is not tested. triangles, including isosceles, equilateral and 30°-60°-90° triangles.coordinate geometry, including graphs of functions, equations and inequalities, intercepts and slopes of lines.setting up equations to solve word problems.

solving simultaneous equations and inequalities.solving linear and quadratic equations and inequalities.relations, functions, equations and inequalities.factoring and simplifying algebraic expressions.concepts such as estimation, percent, ratio, rate, absolute value, the number line, decimal representation and sequences of numbers.arithmetic operations, exponents and roots.properties and types of integers, such as divisibility, factorization, prime numbers, remainders and odd and even integers.The skills, concepts and abilities are assessed in the four content areas below. Many of the questions are "word problems," which must be translated and modeled mathematically. Some of the Quantitative Reasoning questions are posed in real-life settings, while others are posed in purely mathematical settings.
