Additional Topics in Math
Additional topics will include geometric and trigonometric concepts. The questions in this domain contribute to the Math Test score (1–40) and the Math area score (200–800) but not to any specific math subscore. All Math Tests in the SAT Suite of Assessments will include Additional Topics in Math questions except for the PSAT 8/9.
This domain will feature multiple-choice and student-produced response question types. Calculator use is sometimes permitted, but not always needed or recommended.
Additional Topics in Math questions ask students to:
- Solve problems using volume formulas. The student will use given information about figures, such as length of a side, area of a face, or volume of a solid, to calculate missing information. Any required volume formulas will be provided to students either on the formula sheet or within the question.
- Use trigonometric ratios and the Pythagorean theorem to solve applied problems involving right triangles. The student will use information about triangle side lengths or angles presented in a context to calculate missing information using the Pythagorean theorem and/or trigonometric ratios.
- Add, subtract, multiply, divide, and simplify complex numbers.
- Convert between degrees and radians and use radians to determine arc lengths; use trigonometric functions of radian measure. The student will convert between angle measures in degrees and radians in order to calculate arc lengths by recognizing the relationship between an angle measured in radians and an arc length, evaluating trigonometric functions of angles in radians.
- Apply theorems about circles to find arc lengths, angle measures, chord lengths, and areas of sectors. The student will use given information about circles and lines to calculate missing values for radius, diameter, chord length, angle, arc, and sector area.
- Use concepts and theorems about congruence and similarity to solve problems about lines, angles, and triangles. The student will use theorems about triangles and intersecting lines to determine missing lengths and angle measures of triangles. The student may also be asked to provide a missing length or angle to satisfy a given theorem.
- Use the relationship between similarity, right triangles, and trigonometric ratios; use the relationship between sine and cosine of complementary angles. The student will use trigonometry and theorems about triangles and intersecting lines to determine missing lengths and angle measures of right triangles. The student may also be asked to provide a missing length or angle that would satisfy a given theorem.
- Create or use an equation in two variables to solve a problem about a circle in the coordinate plane. The student will create an equation or use properties of an equation of a circle to demonstrate or determine a property of the circle’s graph.