Additional Topics in Math is the smallest official SAT Math domain by raw question count, but it carries outsized weight because the questions are concentrated at the harder end of each section. You will see roughly six of these per test, and they tend to separate students aiming for a 750 from students aiming for an 800. The domain covers right triangle trigonometry, circle theorems, volume formulas, complex number arithmetic, and the geometry of lines in the coordinate plane. Most of the formulas you need are listed at the start of the math section — but the test rewards students who have memorized them anyway, because looking them up costs precious seconds. ScoreReady's Additional Topics drills focus on the application patterns that appear most often: SOH-CAH-TOA on real triangles, arc length and sector area from radians, equation of a circle in standard form, parallel and perpendicular slopes, and i-squared simplifications. Every worked solution draws or describes the figure explicitly, because half the difficulty in geometry questions disappears the moment you re-sketch the figure on your scratch paper.
Content domain
Additional Topics in Math
Geometry, right triangle trigonometry, complex numbers, and coordinate geometry.
Topics in Additional Topics in Math
Circles, Arcs, and Sectors
Apply circle theorems, arc length, and sector area.
Right Triangle Trigonometry
Use SOH-CAH-TOA and the Pythagorean theorem.
Volume and Surface Area
Compute volumes and surface areas of standard solids.
Complex Numbers
Add, multiply, and simplify complex number expressions.
Parallel and Perpendicular Lines
Apply slope relationships in the coordinate plane.
Study tips for Additional Topics in Math
- Always re-sketch the geometric figure on your scratch paper, even if one is provided. The act of redrawing surfaces hidden right angles, congruent sides, and parallel lines.
- For right triangle trig, write SOH-CAH-TOA in the corner of your scratch space at the start of the section. It saves seconds on every trig question.
- The equation of a circle is (x - h)^2 + (y - k)^2 = r^2. If you see x^2 and y^2 with equal coefficients but the equation is expanded, complete the square to find the center and radius.
- Parallel lines have equal slopes; perpendicular lines have slopes whose product is -1. Memorize the negative-reciprocal pattern so you can compute it instantly.
- For complex numbers, replace i^2 with -1 every time it appears, then collect real and imaginary parts. Most complex-number questions reduce to one application of i^2 = -1 plus basic algebra.