Posted on
23
Nov 2022

## GRE Quantitative Reasoning: A Glossary of Math Terms

Have you begun studying for the GRE quantitative reasoning sections? Are you being held up by the recurring appearance of math terms whose definitions you don’t fully understand? We are here to help! Read through our glossary of math terms to know for GRE quantitative reasoning.

If you really need help learning these terms, consider turning them into a flashcard deck. (We would provide you with one of these, too, but the act of making your own flashcards is half the benefit.) And if you really need help getting ready for the GRE quantitative reasoning sections, sign up for a free consultation call with one of our expert instructors.

## GRE Geometry Terms

Acute angle – an angle of less than 90 degrees

Area – a measure of the two-dimensional space enclosed by a circle or polygon

Bisect – to divide into two equal lengths or areas

Complementary – of two angles with a sum of 90 degrees

Congruent – having the same shape and size (for polygons, sides, or angles)

Coordinate plane – the two-dimensional grid network formed by the X and Y axes

Cube – a regular rectangular prism (each of the six sides is a square)

Cylinder – a prism with circular ends

Equidistant – of two points, being the same distance from another point or line

Interior angle – an angle inside a polygon formed by two sides meeting at a vertex

Intersect(ion) – of two lines, to meet and cross, or the point at which two lines meet and cross

Obtuse angle – and angle more than 90 degrees and less than 180 degrees

Parallel – lines, segments, or sides that run exactly the same direction

Perimeter – the distance around a polygon, the sum of the lengths of its sides

Perpendicular –  lines, segments, or sides that meet or would meet at a 90-degree angle

Polygon – an enclosed shape of line segments (sides) meeting at angles

Prism – a solid made by adding height/depth to a circle or polygon

Regular – of a polygon, having sides of equal length and angles of equal measure

Rectangular prism – a box of six rectangular sides

Reflex angle – an angle greater than 180 degrees and less than 360 degrees

Right angle – a 90-degree angle

Similar – having the same shape but not necessarily the same size (for polygons)

Slope – the “steepness” of a line, its ratio of upward “motion” to rightward “motion”

Solid – a three-dimensional shape

Supplementary – of two angles with a sum of 180 degrees

Vertex – a point on a polygon where two sides meet

Volume – a measure of the three-dimensional space enclosed by or taken up by a solid

X-axis – the horizontal axis of the coordinate plane

X-intercept – a point at which a line or graph crosses the x-axis

Y-axis– the vertical axis of the coordinate plane

Y-intercept – a point at which a line or graph crosses the y-axis

Circles

Arc – a segment of a circle’s circumference

Central angle – an angle formed between a circle’s center and two points on its edge

Circumference – the distance around a circle

Diameter – the longest distance across a circle (through the center)

Radius –  the distance from a circle’s center to its edge

Sector – a “pie slice” of a circle created by a central angle

Parallelogram – opposite sides parallel and of equal length

Rectangle – angles each 90 degrees, opposite sides of equal length

Square – angles each 90 degrees, sides of equal length

Trapezoid – one set of parallel sides

Triangles

30-60-90 – a right triangle with angle measures of 30, 60, and 90 degrees

45-45-90 – a right isosceles triangle (with angle measures of 45, 45, and 90 degrees)

Base – the length of a side perpendicular to a height

Equilateral – all sides are the same length

Height – the measure of perpendicular distance from a side designated as a base to the vertex opposite

Hypotenuse – the longest side of a right triangle, across from the 90-degree angle

Isosceles – two sides are the same length, and the third side is a different length

Legs – the two shorter sides of a right triangle, meeting at the 90-degree angle

Right – one angle is 90 degrees

Scalene – no sides are the same length

## GRE Arithmetic/Algebra Terms

Absolute value – a value’s distance from zero (always positive)

Base – a value or variable being raised to a power by a notated exponent

Coefficient – in an expression or equation, a value in multiplication with a variable

Constant – in an expression or equation, a value not in multiplication or division with any variable

Denominator – the lower part of a fraction

Equation – a mathematical “statement” of the equivalent value of two expressions

Exponent – a superscripted value or variable indicating the power to which a given base is to be raised

Expression – mathematical notation of operations to be performed between values and variables

Index – a value or variable used in conjunction with a radical to indicate the root to be taken from a given value or variable

Inequality – a mathematical “statement” of the comparative values of two or more expressions

Numerator – the upper part of a fraction

Power – a number of times for a given value to be multiplied by itself

Radical – a symbol used to indicate a specified root of a given value or variable

Reciprocal – the “flip” of a fraction, or the fraction resulting when a value or variable is made the denominator of a fraction with a numerator of 1

Root – a value that, when raised to a specified power, equals a given value

Units digit – the digit in the “ones place,” the digit immediately to the left of the decimal

Variable – an “unknown” or “replaceable” value, represented by an italicized English or, sometimes, Greek letter

## GRE Number Properties Terms

Arithmetic sequence – a sequence of values differing from one to the next by the same amount, equidistant on a number line (6, 8, 10, 12, 14) (27, 35, 43, 51, 59)

Divisible – able to be divided evenly into a given number of groups or pieces

Divisor – in integer by which a given integer is divisible (interchangeable with factor)

Even – an integer divisible by 2 (a multiple of 2, but 0 is also even)

Factor – an integer that, when multiplied by some integer, produces a given value (interchangeable with divisor)

Geometric sequence – a series of values changing by the same factor from one to the next (5, 15, 45, 135, 405) (8, 32, 128, 512, 2048)

Greatest common factor – the largest integer that is a factor of each integer in a given set

Integer – a whole number (whether positive, negative or 0)

Multiple – an integer that is divisible by a given integer (15, 84, and 321 are multiples of 3)

Least common multiple – the smallest integer that is a multiple of each integer in a given set

Odd – an integer nor divisible by 2 (not a multiple of 2)

Prime number – a number with no factors besides 1 and itself

Remainder – the number left over or left out when an integer does not divide evenly into a given number of groups (17 / 5 has remainder 2 because if 17 things are split into 5 equal groups (of 3), 2 things will be left over)

## GRE Statistics Terms

Mean – the value that results from dividing the sum of the values in a data set by the number of values in the set (sometimes “arithmetic mean”)

Median – the “middle value” in a data set, or, in the case of an even number of values, the mean of the two middle values (1, 1, 2, 3, 5 has median 2;   1, 1, 2, 3, 5, 8, 13, 21 has median 4)

Mode – the value with the most instances or occurrences in a data set

Percentile – a measure of the percentage of values in a data set that are equal to or less than a given value (in a data set comprising the integers from 1 through 100, inclusive, 34 is at the 34th percentile, 79 is at the 79th percentile)

Quartiles – the values at the 25th, 50th, 75, and 100th percentiles: Q1, Q2, Q3, and Q4, respectively (in a data set comprising the integers from 1 through 100, inclusive, Q1 is 25, Q2 is 50, Q3 is 75, and Q4 is 100)

Range – the difference between the highest and lowest values in a data set

Standard deviation – the average (positive) amount by which a value in a data set differs from the mean of the set.

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Contributor: Elijah Mize (Apex GRE Instructor)