Digital SAT · Guides · November 6, 2026 · 7 min read
SAT Math: the four domains, the most tested topics, how to enter answers and what is on the reference sheet
The Math section is the second half of the Digital SAT: two modules of 22 questions, 35 minutes each, with a built-in Desmos graphing calculator and a formula reference sheet available the whole time. Most questions have four answer choices; about a quarter ask you to type the answer yourself. The math itself rarely goes beyond Algebra II and basic trigonometry, but the questions reward fluency: setting up an equation from words, spotting an equivalent form, and not losing a minus sign under time pressure.
The section in numbers
| Math | |
|---|---|
| Modules | 2, the second easier or harder depending on the first |
| Questions | 22 per module, 44 in total (a few are unscored pretest questions) |
| Time | 35 minutes per module, 70 in total |
| Time per question | about 95 seconds on average |
| Formats | about 75% multiple choice (4 options), about 25% student-produced response |
| Tools | Desmos graphing calculator in Bluebook (or an approved handheld calculator), reference sheet |
Unlike Reading and Writing, Math questions are not grouped by domain: algebra, data and geometry are mixed throughout each module, getting harder toward the end. For the adaptive design and what it means for your pacing, see how the SAT adaptive modules work.
The four domains and the topics tested most
| Domain | Share | Questions (of 44) | What it covers |
|---|---|---|---|
| Algebra | ≈ 35% | 13–15 | linear equations and inequalities, linear functions, systems of two linear equations |
| Advanced Math | ≈ 35% | 13–15 | quadratics, exponential functions, polynomials, equivalent expressions, nonlinear equations and systems |
| Problem-Solving and Data Analysis | ≈ 15% | 5–7 | ratios, rates, units, percentages, statistics, probability, scatterplots, sampling |
| Geometry and Trigonometry | ≈ 15% | 5–7 | area and volume, angles and triangles, right triangles and trigonometry, circles |
Algebra and Advanced Math together make up about 70% of the section, so they are where preparation pays off first.
Algebra. The core is turning a situation into a linear equation and reading it back: in C = 26m + 30, what do 26 and 30 mean? Expect slope from two points or a table, parallel and perpendicular lines, systems with one, no or infinitely many solutions (no solution means same slope, different intercept), and inequalities from word problems (“at least”, “no more than”).
Advanced Math. Quadratics in all three forms: standard ax² + bx + c, factored a(x − p)(x − q) and vertex a(x − h)² + k, and which feature each form shows directly. Exponential growth and decay (P = 500(1.04)^t means 4% growth per period), function notation and transformations, equivalent expressions (expanding, factoring, rational expressions), the discriminant, and nonlinear systems such as a line meeting a parabola.
Problem-Solving and Data Analysis. Percent change (new − old) / old, unit conversions, mean and median (and how an outlier moves each), reading a scatterplot and its line of best fit, two-way tables and conditional probability, and which conclusion a study’s sample supports.
Geometry and Trigonometry. Similar triangles, the Pythagorean theorem, special right triangles, sin, cos and tan in a right triangle (and sin x = cos(90° − x)), the circle equation (x − h)² + (y − k)² = r², arc length and sector area, radians, and volume of common solids.
Student-produced response: how to enter answers
About 11 of the 44 questions have no options; you type the answer into a box. The rules, as shown in the on-screen directions:
- Length: up to 5 characters for a positive answer and up to 6 for a negative one (the minus sign counts).
- Fractions: allowed, typed with a slash, such as 7/4. If a fraction does not fit, enter its decimal value.
- Decimals: if a decimal is too long, truncate or round it at the fourth digit, filling the box. For 2/3 you can enter 2/3, .6666, .6667, 0.666 or 0.667; 0.67 is marked wrong because it is less precise than the box allows.
- Mixed numbers: not accepted. Enter 3½ as 7/2 or 3.5.
- Symbols: do not type units, percent signs, commas or dollar signs. If the answer is 30%, and the question asks for the percent, enter 30.
- More than one correct answer: some questions have several (for example, both roots of an equation work). Enter only one.
Check the answer preview under the box before moving on, and never leave the box empty: wrong answers cost nothing.
The reference sheet: what it gives and what it does not
The reference sheet opens from the top of the screen in Bluebook. It lists geometry only: the area of a circle (A = πr²) and its circumference (C = 2πr), the area of a rectangle (A = lw) and of a triangle (A = ½bh), the Pythagorean theorem (c² = a² + b²), the side ratios of the 30°-60°-90° and 45°-45°-90° triangles, and the volumes of a rectangular prism, cylinder, sphere, cone and pyramid. It also states that a circle has 360 degrees of arc (2π radians) and that the angles of a triangle add up to 180°.
What you have to know by heart: slope and the forms of a line, the quadratic formula and the discriminant, vertex form, exponent rules, percent change, mean and median, the circle equation, SOH-CAH-TOA, arc length and sector area as fractions of the circle, and the conversion 180° = π radians.
Three worked examples
These are original questions written by Nomto, not official test questions.
Example 1: Algebra, typed answer
A gym charges a one-time sign-up fee plus a fixed monthly fee. The total cost for 4 months of membership is $134, and the total cost for 10 months is $290. What is the sign-up fee, in dollars?
The six extra months cost 290 − 134 = 156 dollars, so the monthly fee is 156 / 6 = 26. Four months then cost 4 × 26 = 104, which leaves 134 − 104 = 30 for the sign-up fee. The model is C = 26m + 30.
Answer: 30. Type 30, not $30. The trap is entering 26: you found a number, but not the one the question asked for. Reread the last sentence before typing.
Example 2: Algebra, a fraction answer
If 3(2x − 1) = 2x + 4, what is the value of x?
Expand: 6x − 3 = 2x + 4. Subtract 2x and add 3: 4x = 7, so x = 7/4.
Answer: 7/4 or 1.75. Both are accepted. The usual error is distributing only to the first term, 6x − 1 = 2x + 4, which gives 5/4.
Example 3: Advanced Math, multiple choice
The function f is defined by f(x) = x² − 6x + c, where c is a constant. If the minimum value of f(x) is −4, what is the value of c?
A) −4
B) 5
C) 9
D) 13
Complete the square: x² − 6x + c = (x − 3)² + (c − 9). The smallest value of (x − 3)² is 0, so the minimum of f is c − 9. Set c − 9 = −4, so c = 5. Check: f(3) = 9 − 18 + 5 = −4.
Answer: B. A repeats the minimum value instead of solving for c. C is the 9 from completing the square, and D comes from adding 4 instead of subtracting. A Desmos slider for c also works, but the algebra takes under a minute. The Desmos guide covers when the calculator is faster and when it is not.
Common mistakes
- Answering a different question. The equation is solved for x, but the question asks for 2x + 1, the sign-up fee, or the number of months. Underline what is asked.
- Sign errors when distributing a minus, as in −2(x − 5) = −2x + 10.
- Percent of what? A 20% increase followed by a 20% decrease is not back to the start: 100 → 120 → 96.
- Units. The rate is in meters per second; the answer is wanted in meters per minute.
- Spending three minutes on question 8 of a module and rushing the last five. Questions at the end of a module are harder, but they are worth the same as the early ones.
Timing and how to practice
With 95 seconds per question on average, aim to finish the first 15 questions of a module in about 18–20 minutes, leaving time for the harder end and a quick review of marked questions. Skip and mark anything that takes more than two minutes; you can move freely within a module.
Start with the largest domain and its most common skill: the Algebra practice set and systems of linear equations, then Advanced Math. When you are ready for full timing, take Nomto’s adaptive practice test, which follows the same two-module structure; its score is an estimate of your level, not an official result. The overall structure of the test is in the Digital SAT format guide.