PSAT/NMSQT Advanced Math. Practice it free.

Focuses on manipulating expressions and equations and working with nonlinear equations. This All grades reporting domain maps to 38 practice skills and 8 representative questions from the playable bank.

Grades 10-1138 mapped skills

What the test measures

Advanced Math skills

Equivalent expressions
Nonlinear equations in one variable and systems of equations in two variables
Square roots and other rational exponents
Radicals and rational exponents
Polynomial, rational, exponential, and logarithmic functions

Standards basis

College Board SAT Suite content domains aligned to college- and career-ready math skills; Common Core State Standards–aligned at the content level — national

How the PSAT/NMSQT reports it

PSAT/NMSQT uses the same SAT Suite digital test design and shared math content domains as SAT and the other PSATs. College Board states these tests assess the same group of skills and knowledge, with content aligned to the SAT Suite’s domain framework rather than a state-specific blueprint.

Blueprint & weighting

College Board’s SAT Suite math content domains are used for reporting and preparation, but the primary sources retrieved here did not provide a PSAT/NMSQT-specific published item percentage by domain in accessible form.

Official sources

College Board PSAT/NMSQT page
College Board PSAT/NMSQT Testing Rules
College Board SAT Practice content domains

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Simplify: $32^{2/5}$ .

$32^{2/5} = (\sqrt[5]{32})^2 = 2^2 = 4$ .

Practice playeasy

What is $C(5, 2)$ ?

$C(5,2) = \dfrac{5!}{2! \cdot 3!} = \dfrac{120}{2 \cdot 6} = 10$ .

Practice playeasy

Which expression is equivalent to $\sqrt{108}+\sqrt{147}$ ?

$\sqrt{108}=\sqrt{36 \cdot 3}=6\sqrt{3}$ and $\sqrt{147}=\sqrt{49 \cdot 3}=7\sqrt{3}$ . Adding like radical terms gives $6\sqrt{3}+7\sqrt{3}=13\sqrt{3}$ .

Practice playmedium

Which is the completely factored form of $18x^{3} + 12x^{2}$ ?

The greatest common factor of $18x^{3}$ and $12x^{2}$ is $6x^{2}\textsf{.}$ Factoring gives $6x^{2}(3x + 2)$ .

Practice playeasy

Which expression is equivalent to $9x^{2} - 25$ ?

$9x^{2} - 25 = (3x)^{2} - 5^{2} = (3x - 5)(3x + 5)$ .

Practice playeasy

How many distinct real roots does $x^{2} + 9 = 0$ have?

Here $a = 1$ , $b = 0$ , and $c = 9$ . Substituting into $b^{2} - 4ac$ gives $0^{2} - 4(1)(9) = -36\textsf{,}$ so there are $0$ distinct real roots.

Practice playeasy

How many distinct real solutions does $x^{2} - 4x + 4 = 0$ have?

Here $a = 1$ , $b = -4$ , and $c = 4$ . Substituting into $b^{2} - 4ac$ gives $(-4)^{2} - 4(1)(4) = 0$ , so there is exactly $1$ distinct real solution.