GRE-QM-2026 EDUCATIONAL TESTING AND
ASSESSMENT BOARD
GRADUATE RECORD EXAMINATION (GRE)
QUANTITATIVE REASONING (MATHEMATICS)
|COMPREHENSIVE PRACTICE EXAMINATION 2026
SPRING SEMESTER EXAMINATION [2025/2026]
An exponent can be distributed only...
over multiplication or division (xyz)^2 = (x^2)(y^2)(z^2)
sqrt(x) =
x^(1/2)
cube root of x =
x^(1/3)
1
Page
yth root of (x^a) =
, x^(a/y)
If x, y, and m are positive, then x > y if and only if...
x^m > x^y
When squaring a binomial...
multiply the binomial by itself using the FOIL method
x^-y =
1/(x^y)
(x/y)^-z =
(y/x)^z
if x does not equal 1, x^0 =
1
2^n + 2^n
2^(n+1)
2
Page
, When multiplying or diving numbers in scientific notation, the coefficients can be...
multiplied and divided separately from the powers of 10
When a perfect square ends with an even number of zeros, the square root of such a square will
have...
exactly half the number of zeros to the right of the final nonzero digit as the perfect square
If a decimal with a finite number of decimal places is a perfect square, its square root will have...
exactly half the number of decimal places. Thus, a perfect square decimal must have an even
number of decimal places
When an inequality is multiplied or divided by a negative number...
The inequality sign must be reversed.
Don't multiply or divide an inequality by a variable unless...
its sign is known.
Compound Inequality Rules
Whatever you to to one part of the inequality must be done to the other parts. When
multiplying or dividing by a negative number, both of the inequality signs need to be reversed
3
Page
ASSESSMENT BOARD
GRADUATE RECORD EXAMINATION (GRE)
QUANTITATIVE REASONING (MATHEMATICS)
|COMPREHENSIVE PRACTICE EXAMINATION 2026
SPRING SEMESTER EXAMINATION [2025/2026]
An exponent can be distributed only...
over multiplication or division (xyz)^2 = (x^2)(y^2)(z^2)
sqrt(x) =
x^(1/2)
cube root of x =
x^(1/3)
1
Page
yth root of (x^a) =
, x^(a/y)
If x, y, and m are positive, then x > y if and only if...
x^m > x^y
When squaring a binomial...
multiply the binomial by itself using the FOIL method
x^-y =
1/(x^y)
(x/y)^-z =
(y/x)^z
if x does not equal 1, x^0 =
1
2^n + 2^n
2^(n+1)
2
Page
, When multiplying or diving numbers in scientific notation, the coefficients can be...
multiplied and divided separately from the powers of 10
When a perfect square ends with an even number of zeros, the square root of such a square will
have...
exactly half the number of zeros to the right of the final nonzero digit as the perfect square
If a decimal with a finite number of decimal places is a perfect square, its square root will have...
exactly half the number of decimal places. Thus, a perfect square decimal must have an even
number of decimal places
When an inequality is multiplied or divided by a negative number...
The inequality sign must be reversed.
Don't multiply or divide an inequality by a variable unless...
its sign is known.
Compound Inequality Rules
Whatever you to to one part of the inequality must be done to the other parts. When
multiplying or dividing by a negative number, both of the inequality signs need to be reversed
3
Page
