SAT Geometry and Trigonometry. Practice it free.

Measures the ability to solve problems that focus on area and volume formulas; lines, angles, and triangles; right triangles and trigonometry; and circles. This All grades reporting domain maps to 26 practice skills and 8 representative questions from the playable bank.

SAT (college entrance; typically grades 11-12)26 mapped skills
What the test measures

Geometry and Trigonometry skills

  1. Area and volume

  2. Lines, angles, and triangles

  3. Right triangles and trigonometry

  4. Circles

Standards basis

Common Core State Standards (CCSS-M)-aligned college- and career-ready math content — national

How the SAT reports it

The SAT Math section uses College Board’s SAT Suite content-domains framework, with a single fixed set of four math domains used across SAT suite tests. It is aligned to college- and career-ready math content rather than a state-specific framework and is commonly presented as Common Core–aligned in the underlying skills coverage.

Blueprint & weighting

College Board publishes the question distribution per domain for the digital SAT Math section: Algebra ≈35% (13–15 questions), Advanced Math ≈35% (13–15 questions), Problem-Solving and Data Analysis ≈15% (5–7 questions), Geometry and Trigonometry ≈15% (5–7 questions) of 44 questions total, split across 2 modules, with calculators allowed throughout.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two lines cross. One angle formed is 20°20°. What is the vertical angle?

Vertical angles are equal: 20°20°.

Practice playeasy

Find the area of a parallelogram with base b=4b = 4 and height h=6h = 6.

Parallelogram area =bh=46=24= b \cdot h = 4 \cdot 6 = 24.

Practice playeasy

In XYZ\triangle XYZ, X\angle X and Z\angle Z are congruent. The measure of Y\angle Y is 52.652.6^{\circ}. What is the measure of X\angle X?

The two congruent angles share the remainder equally: 18052.62=63.7\dfrac{180^{\circ} - 52.6^{\circ}}{2} = 63.7^{\circ}.

Practice playhard

A rectangular prism has a square base and height 66 meters. Its volume is 9696 cubic meters. What is the side length of the base, in meters?

V=s2hV = s^2 h, so 96=s2696 = s^2 \cdot 6 and s2=16s^2 = 16. Then s=4 m.s = 4\text{ m}\textsf{.}

Practice playeasy

What is the sum of the interior angles of a pentagon?

A pentagon has 55 sides: (52)×180=540°(5-2) \times 180 = 540°.

Practice playmedium

A paint store sells open-top metal cans with radius 22 inches and height 66 inches. The cans have a bottom but no lid. What is the exterior surface area, in square inches, of one open can?

An open can has one circular base and a lateral surface: SA=πr2+2πrhSA = \pi r^2 + 2\pi rh. With r=2r = 2 and h=6h = 6, SA=π(4)+2π(2)(6)=4π+24π=28πSA = \pi(4) + 2\pi(2)(6) = 4\pi + 24\pi = 28\pi square inches.

Practice playeasy

Find the volume of a cone with radius 33 and height 55. Use π=3\pi = 3.

V=13πr2h=13×3×9×5=45V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 9 \times 5 = 45.

Practice playeasy

In MNP,\triangle MNP\textsf{,} mM=64m\angle M = 64^{\circ} and mN=64.m\angle N = 64^{\circ}\textsf{.} What is mP?m\angle P\textsf{?}

The sum of the interior angles of a triangle is 180.180^{\circ}\textsf{.} So mP=1806464=52.m\angle P = 180^{\circ} - 64^{\circ} - 64^{\circ} = 52^{\circ}\textsf{.}

Keep practicing

Turn geometry and trigonometry into game time.

The SAT placement starts with this test's real coverage map and finds the right difficulty.