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SAT Study Notes

Build Your SAT Foundation, Topic by Topic

Study domain-by-domain SAT notes with worked examples, topic breakdowns, and clear strategies for both sections.

SAT Math

SAT Math Study Notes

Build SAT Math confidence with structured topic notes, worked examples, and section-specific strategies.

SAT Math: Algebra — Complete Study Guide

Foundational

Master linear equations, functions, systems, and inequalities for the Digital SAT. Covers all Algebra skills tested, with worked examples, strategies, and practice problems.

Estimated time: 2 hours

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SAT Math: Advanced Math — Complete Study Guide

Advanced

Master quadratic equations, polynomials, exponential functions, and rational expressions for the Digital SAT. Detailed explanations, Desmos strategies, and worked examples.

Estimated time: 2.5 hours

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SAT Math: Problem Solving & Data Analysis — Complete Study Guide

Medium

Master ratios, percentages, probability, statistics, and data interpretation for the Digital SAT. This domain appears only in Module 2 of the adaptive test.

Estimated time: 1.5 hours

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SAT Math: Geometry & Trigonometry — Complete Study Guide

Medium

Master area, volume, lines, angles, triangles, circles, and right triangle trigonometry for the Digital SAT. Includes all reference formulas provided on the test.

Estimated time: 1.5 hours

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Understanding the SAT Math Section

The SAT Math section is one of two scored sections on the Digital SAT, contributing half of your total composite score (200–800 scale). You will answer 44 questions across two timed modules of 22 questions each, with 35 minutes per module for a total of 70 minutes. The section uses a multistage adaptive testing format: every student receives the same set of Module 1 questions, and your performance on that first module determines whether Module 2 is more or less difficult. Reaching the harder second module is the gateway to scores above roughly 600, making a strong start critical.

The Four Math Domains

College Board organizes SAT Math content into four domains. Knowing how each domain is weighted helps you allocate study time wisely.

Algebra (~35%)

Linear equations and inequalities, systems of equations, and linear functions. This domain tests your ability to create, solve, and interpret linear models. Expect questions about slope-intercept form, parallel and perpendicular lines, and word problems that translate into algebraic expressions.

Advanced Math (~35%)

Quadratic and polynomial expressions, exponential and radical equations, and rational functions. You will need to factor, complete the square, and work with function notation. This domain also covers equivalent expressions and nonlinear systems.

Problem Solving & Data Analysis (~15%)

Ratios, rates, proportional relationships, percentages, and statistical concepts such as mean, median, standard deviation, and probability. Many questions present data in tables, scatterplots, or bar graphs and ask you to draw conclusions.

Geometry & Trigonometry (~15%)

Area, volume, right triangles, the Pythagorean theorem, circle equations, and basic trigonometric ratios (sine, cosine, tangent). While this domain has fewer questions, the concepts frequently appear in multi-step problems.

Key Strategies for SAT Math Prep

  • Master Algebra first. Algebra and Advanced Math together represent roughly 70 percent of the section. Solidifying linear and quadratic skills pays the biggest dividends.
  • Practice under timed conditions. Give yourself 35 minutes for a set of 22 questions to build realistic pacing. Running out of time is one of the most common reasons students leave points on the table.
  • Review every mistake. Keep an error log that records the question, the concept tested, and why you got it wrong. Patterns in your error log reveal exactly which topics need more attention.
  • Use process of elimination. On multiple-choice questions, crossing out answers you know are wrong improves your odds even when you are unsure of the correct approach.
  • Know when to skip. Every question is worth the same number of points. If a question is taking more than two minutes, flag it and move on — you can return to it after finishing easier questions.

How Adaptive Modules Affect Your Score

The Digital SAT’s adaptive design means your Module 1 performance directly influences the difficulty — and scoring ceiling — of Module 2. If you perform well on Module 1, you are routed to a harder Module 2 that contains questions worth more points. If Module 1 performance is weaker, you receive an easier Module 2 with a lower scoring ceiling. This structure rewards consistency and accuracy early in the section. The practical takeaway is straightforward: prioritize getting Module 1 questions right, even if it means spending a bit more time per question. A few extra correct answers in Module 1 can shift you into a higher scoring bracket for the remainder of the test.

Tips for Using the Desmos Calculator on the SAT

The built-in Desmos graphing calculator is one of the biggest advantages of the Digital SAT. Here is how to make the most of it:

  • Graph both sides of an equation to find intersection points visually, which is especially useful for systems of equations and quadratics.
  • Use sliders to test different values of a variable and observe how a function changes — this helps with questions about transformations.
  • Type in answer choices as equations to see which one matches a given graph or data set. Backsolving with Desmos is faster than solving algebraically for many problems.
  • Practice beforehand. Familiarize yourself with Desmos at desmos.com/calculator so the interface feels natural on test day. Knowing keyboard shortcuts saves valuable seconds.

Frequently Asked Questions About SAT Math

1. How many questions are on the SAT Math section?

The SAT Math section contains 44 questions split across two adaptive modules. Module 1 has 22 questions with a 35-minute time limit, and Module 2 also has 22 questions with another 35-minute time limit, giving you 70 minutes total.

2. What topics does SAT Math cover?

SAT Math covers four domains: Algebra (roughly 35% of questions), Advanced Math (roughly 35%), Problem Solving and Data Analysis (roughly 15%), and Geometry and Trigonometry (roughly 15%). Algebra and Advanced Math together make up the majority of the test.

3. Can I use a calculator on the entire SAT Math section?

Yes. Unlike the old paper SAT, the Digital SAT allows calculator use on every math question. The Bluebook testing app includes a built-in Desmos graphing calculator, or you can bring your own approved calculator.

4. What does 'adaptive' mean for SAT Math scoring?

The SAT uses a multistage adaptive design. Everyone receives the same Module 1 questions. Based on your Module 1 performance, the test assigns you either a harder or easier Module 2. Reaching the harder module gives you access to the highest score ranges, so strong performance on Module 1 is essential.

5. Is the SAT Math section harder than the old SAT?

The content difficulty is comparable, but the format is different. Questions on the Digital SAT tend to be more concise, and you have slightly more time per question. The adaptive structure also means the test adjusts to your level, so the difficulty you experience is personalized.

6. What is a good SAT Math score?

SAT Math scores range from 200 to 800. The national average is roughly 520. A score of 600 or above is competitive for many colleges, while a 700 or above places you in roughly the top 5 percent of test-takers. Target scores depend on the schools you are applying to.

7. How should I study for SAT Math?

Start by taking a diagnostic practice test to identify weak areas. Focus your study time on the two largest domains — Algebra and Advanced Math — since they account for about 70% of questions. Use timed practice sets to build speed, and review every mistake to understand the underlying concept.

8. Are SAT Math questions multiple choice or free response?

Most SAT Math questions are multiple choice with four answer options, but roughly 25% are student-produced response questions (also called grid-ins) where you type your own answer. Both question types appear throughout the section.