
Explore the basics of integers, including positive, negative, and zero; factors, multiples, greatest common divisor, least common multiple, division with remainder, and prime factorization.
Explore how percent links fractions and decimals, convert parts of a whole to fraction and decimal equivalents, and solve common percent problems using base, proportion, and percent change.
Solve linear equations by finding variable values that satisfy the equation using equivalent forms and operations; apply substitution and elimination for systems, and identify no-solution or identity cases.
Learn to solve quadratic equations using the quadratic formula and factoring, determine zero, one, or two real solutions, and work through example problems.
Solve linear inequalities by isolating the variable and applying rules for adding, subtracting, and multiplying or dividing, noting sign changes and identifying the solution set.
Explore how functions map inputs to outputs and how domains restrict permissible inputs. Identify examples like f(x)=3x+5 and f(x)=2x/(x-6) with domain all real numbers except six.
Explore lines and angles fundamentals, including line and segment definitions, midpoints, perpendicular and parallel lines, right, acute, and obtuse angles, and the relation x + y = 180.
Explore quadrilaterals, including rectangles and squares, and learn the area formula base times height with height as the perpendicular distance. Apply the trapezoid formula using the bases and height.
Explore circle fundamentals by applying circumference and area formulas with pi, diameter, and radius. Practice solving problems and using significant figures with real examples.
Explore graphical methods for describing data, including how tables and frequency distributions and relative frequency distributions summarize quantitative and categorical variables across populations.
Explore numerical methods for describing data using measures of central tendency, including mean, median, and mode, and understand how weights, frequency, and dispersion influence summaries.
Learn basic probability by counting the equally likely outcomes and dividing the number of successful ways by the total possibilities, with coins, dice, cards, and random draws.
The GRE subject test in mathematics is a standardized test in the United States created by the Educational Testing Service (ETS), and is designed to assess a candidate's potential for graduate or post-graduate study in the field of mathematics. It contains questions from many fields of mathematics; about 50% of the questions come from calculus (including pre-calculus topics, multivariate calculus, and differential equations), 25% come from algebra (including linear algebra, abstract algebra, and number theory), and 25% come from a broad variety of other topics typically encountered in undergraduate mathematics courses, such as point-set topology, probability and statistics, geometry, and real analysis.[2][1]
Similar to all the GRE subject tests, the GRE Mathematics test is paper-based,[1] as opposed to the GRE general test which is usually computer-based. It contains approximately 66 multiple-choice questions,[2] which are to be answered within 2 hours and 50 minutes.[1] Scores on this exam are required for entrance to most math Ph.D. programs in the United States.
Scores are scaled and then reported as a number between 200 and 990;[7] however, in recent versions of the test, the maximum and minimum reported scores have been 920 and 400, which correspond to the 99th percentile and the 1st percentile, respectively. The mean score for all test takers from July 1, 2011 to June 30, 2014 was 659, with a standard deviation of 137.[8]
Prior to October 2001, a significant percentage of students were achieving perfect scores on the exam, which made it difficult for competitive programs to differentiate between students in the upper percentiles. As a result, the test was reworked and renamed "The Mathematics Subject Test (Rescaled)".[7] According to ETS, "Scores earned on the test after October 2001 should not be compared to scores earned prior to that date."[7]
Tests generally take place three times per year, on one Saturday in each of September, October, and April. Students must register for the exam approximately five weeks before the administration of the exam.[9]