The SAT Math section covers a lot of ground on paper. Four domains. Dozens of topics. Hundreds of skills.
In practice, it is much narrower. There is a specific set of question types that show up on almost every test. Know those and you are solid on 80% of the section. Here is the list.
Algebra
Algebra is the foundation of the test. Most of the Easy and Medium problems come from here. A few must-knows:
- No solution and infinitely many solutions. Questions that give you two linear equations and ask when the system has no solution or infinitely many. This is a pattern you will see on every test. Recognize it instantly: parallel lines = no solution, same line = infinite.
- Linear regression. A table of values and a question about the best-fit line. Desmos handles this in about 10 seconds. Type in the data, run the regression, match the output to the answer choices. We have a full walkthrough on Desmos regression for these problems.
- Interpreting lines. Slope-intercept form where the question asks what m or b represents in the context of a word problem. "What does the 3 in y = 3x + 50 represent?" The answer is usually cost per unit, miles per hour, or something domain-specific. Read the context carefully.
Advanced Math
Advanced Math is where most students lose points. The concepts are harder to recognize, and Desmos changes the game completely on these.
- Exponential equations. These connect to percent change problems. If a value grows by 8% per year, you multiply by 1.08. If it decays by 3%, you multiply by 0.97. Recognize the pattern: y = a(1 + r)^t for growth, y = a(1 - r)^t for decay.
- The discriminant. For a quadratic ax² + bx + c = 0, the discriminant is b² - 4ac. When it is positive, two real solutions. Zero, one solution. Negative, no real solutions. Questions on this are common. Desmos can also solve the full equation visually if the algebra gets heavy.
- Equivalent expressions. The SAT loves asking "which expression is equivalent to this one?" after some algebraic manipulation. Instead of doing the algebra by hand, plug a value into both expressions and see which answer choice matches. Desmos makes this fast.
Problem Solving and Data Analysis
This is the domain where careful reading matters most. Most of the problems are word problems dressed up as math.
- Ratios and proportions. Scale factors, unit conversions, recipes, rates. Any problem that involves "if 3 of X costs Y, how much does 7 of X cost" is a ratio problem. Set up the proportion and let Desmos solve it.
- Statistics. Mean, median, standard deviation, range. Desmos has built-in stat functions. If you get a list of numbers and a question about one of these measures, put the list in Desmos and let it take care of the rest.
- Percentage problems. This is where most students waste time. The trick is translating the words into an equation. "X is 30% of Y" becomes X = 0.30Y. "What percent of 40 is 16" becomes 16 = p × 40. Once the equation is written the problem solves itself with Desmos.
Geometry and Trigonometry
This is the smallest domain on the SAT but you cannot skip it. Most of the problems lean on the formula sheet, but not all.
- Area and volume. The formula sheet has area of circles, volume of cylinders, spheres, cones, pyramids. Know what is on it and what is not.
- Surface area. This is not on the formula sheet explicitly. You need to know how to find the surface area of a rectangular prism (add up the areas of the six faces). Memorize a handful of common shapes.
- Right triangles and SOHCAHTOA. Sine, cosine, tangent. Questions often give you a right triangle with one angle and one side, and ask for another side. SOHCAHTOA plus the Pythagorean theorem covers most of these.
- Similarity. Similar triangles have proportional sides. This comes up constantly in geometry problems, often hidden inside a larger figure.
- Circle equations. (x - h)² + (y - k)² = r². The center is (h, k), the radius is r. SAT loves asking you to find the center or radius given the equation, or to write the equation given the center and a point on the circle. Desmos handles the heavy lifting here too, so you can skip the algebra and focus on reading off the answer.
What Is Not on This List
There is plenty of math you learned in school that basically never shows up on the SAT. Matrices. Imaginary numbers beyond the basics. Advanced calculus. Logarithms in unusual contexts.
Do not waste time on those. Focus your prep on what the test actually tests.
How to Work Through This List
Every topic on this list has its own learning curve. Most students need to see each problem type 10-20 times before it becomes automatic.
Sigma Prep covers all of these in depth. Each topic has Easy, Medium, and Hard-level practice, and every problem has a video explanation showing the fastest way to solve it (Desmos included, when it helps). See our score-tier breakdown to understand which of these topics matter most for your target score.
Or skip the reading and try the free Challenge Quiz. Twelve questions covering these exact topics. Fifteen minutes. Free. Every wrong answer comes with a video of how to solve a nearly identical problem. You will get a real feel for how this stuff breaks down.