PSAT 10 Geometry and Trigonometry Practice

What the test measures

Geometry and Trigonometry skills

Area and volume
Lines, angles, and triangles
Right triangles and trigonometry
Circles

Standards basis

Common Core State Standards (CCSS-M) / College and Career Readiness-aligned SAT Suite framework — national

How the PSAT 10 reports it

PSAT 10 is part of College Board’s SAT Suite and uses the same digital Bluebook math framework as the SAT/PSAT-related assessments. Its math reporting categories are the four fixed SAT Suite domains, aligned to college- and career-readiness standards derived from the Common Core.

Blueprint & weighting

College Board’s content-domains page lists the four math domains for PSAT 10 but does not publish domain-by-domain weighting percentages on the page text extracted here.

Official sources

College Board PSAT 10
College Board What Are Content Domains?
College Board PSAT 10 Understanding Scores (PDF)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A right triangle has legs $6$ and $8$ . What is its area?

Area $= \dfrac{1}{2} \times 6 \times 8 = 24$ .

Practice playeasy

Two angles are supplementary. One measures $25°$ . What is the other?

$180 - 25 = 155°$ .

Practice playeasy

A circle has a diameter of $26$ yards. What is the circumference, in yards, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 26$ : $C = \pi(26) = 26\pi\textsf{.}$

Practice playeasy

Find the area of a triangle with base $b = 8$ and height $h = 9$ .

Triangle area $= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 8 \cdot 9 = 36$ .

Practice playeasy

A circle in the coordinate plane has a diameter with endpoints $(-6, 1)$ and $(12, 1)\textsf{.}$ What is the radius of the circle?

The endpoints share the same $y$ -coordinate, so the diameter is horizontal with length $|12 - (-6)| = 18\textsf{.}$ The radius is half the diameter, so $r = \dfrac{18}{2} = 9\textsf{.}$

Practice playeasy

The equation $(x - 6)^2 + y^2 = 81$ represents Circle A. Circle B is obtained by shifting Circle A left $6$ units in the coordinate plane. Which of the following equations represents Circle B?