PSAT/NMSQT Geometry and Trigonometry Practice

What the test measures

Geometry and Trigonometry skills

Area and volume
Lines, angles, and triangles
Right triangles and trigonometry
Circles
Graphs of circles and other geometric figures

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

A triangle has sides $5$ , $12$ , and $13$ . What is its area?

This is a right triangle ( $5$ - $12$ - $13$ ). Area $= \dfrac{1}{2} \times 5 \times 12 = 30$ .

Practice playeasy

Two angles are supplementary. One measures $45°$ . What is the other?

$180 - 45 = 135°$ .

Practice playeasy

A circle has a diameter of $20$ feet. What is the circumference, in feet, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 20$ : $C = \pi(20) = 20\pi\textsf{.}$

Practice playeasy

Find the area of a trapezoid with bases $b_1 = 7$ and $b_2 = 10$ and height $h = 6$ .

Trapezoid area $= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(7 + 10) \cdot 6 = \dfrac{1}{2}(17) \cdot 6 = 51$ .

Practice playmedium

A circle in the coordinate plane has a diameter with endpoints $(0, 0)$ and $(6, 8)\textsf{.}$ What is the radius of the circle?

The diameter length is $\sqrt{(6 - 0)^2 + (8 - 0)^2} = \sqrt{36 + 64} = \sqrt{100} = 10\textsf{.}$ The radius is half the diameter, so $r = \dfrac{10}{2} = 5\textsf{.}$

Practice playeasy

The equation $(x - 2)^2 + (y + 1)^2 = 16$ represents Circle A. Circle B is obtained by shifting Circle A down $3$ units in the coordinate plane. Which of the following equations represents Circle B?