Digital SAT Math · 2026

SAT Math Practice Test: Free Digital SAT Math Practice, Questions & Lessons

Digital SAT Math has four content areas: Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. Take the practice test here, then use the skill quizzes, worksheets, quick review and formula sheet to work on the area that cost you the most points.

SAT MATH ONLINE CENTER — original handwritten comic illustration.

What is on the SAT Math section?

The SAT is the College Board's college admissions test, taken on the Bluebook app. The Math section has 44 questions in two adaptive 35-minute modules, for 70 minutes. The whole test has 98 questions and takes 2 hours 14 minutes plus a 10-minute break. Math is scored 200 to 800, and the total score ranges from 400 to 1600. Colleges set their own score requirements.

Math section
44 questions, 2 modules of 35 minutes (70 minutes)
Total test
98 questions, 2 hours 14 minutes plus a 10-minute break
Score range
400-1600 total; Math 200-800
Math benchmark
530 (College and Career Readiness)
Calculator
Allowed on the entire Math section; Desmos built into Bluebook

Source: College Board official information. Rules and dates can change, so confirm with the official site or your test center.

On this page

SAT Math Test Outline

The Digital SAT Math section measures four content domains. Use the quick review and topic map below to work through each one.

SAT DOMAIN 02

ADVANCED MATH

SAT Math

Equivalent expressions, nonlinear equations, quadratics, and functions.

Topics covered
  • Equivalent expressions
  • nonlinear equations
  • quadratics
  • and functions.
SAT DOMAIN 03

PROBLEM-SOLVING & DATA ANALYSIS

SAT Math

Ratios, rates, percentages, data, statistics, and probability.

Topics covered
  • Ratios
  • rates
  • percentages
  • data
  • statistics
  • and probability.
SAT DOMAIN 04

GEOMETRY & TRIGONOMETRY

SAT Math

Area, volume, lines, angles, triangles, circles, and right-triangle trigonometry.

Topics covered
  • Area
  • volume
  • lines
  • angles
  • triangles
  • circles
  • and right-triangle trigonometry.

Digital SAT Math: 70 minutes, two 35-minute modules, and 44 questions total. The section score ranges from 200 to 800. Question types include multiple-choice and student-produced responses.

  • Linear equations, systems, slope, and graphs
  • Quadratics, polynomials, and nonlinear equations
  • Ratios, percentages, units, and data analysis
  • Functions, transformations, and notation
  • Geometry, circles, triangles, and trigonometry
  • Digital strategy, Desmos use, and time management

Free interactive practice

SAT Study Lab: Flashcards, Question of the Day and Study Plan

Short, active practice for the digital SAT: flip SAT Math flashcards for formulas, key concepts and Desmos moves, learn the grammar rules behind Reading and Writing questions, quiz yourself on vocabulary in context, answer a new question every day and build a week-by-week plan for your test date.

54 math cards23 grammar rules1,000 words

SAT Math flashcards

Formulas, concepts, quick “solve it” problems and Desmos tips, grouped by the four SAT Math content domains. Mark each card “Got it” or “Review again”; cards you miss collect in your review list.

Keys: Space flip · ← → move · 1 review again · 2 got it

See all 54 cards as a list
What is the slope of the line through (x1, y1) and (x2, y2)?
m = (y2 − y1) / (x2 − x1). Example: through (2, 5) and (6, 13), m = 8/4 = 2.
In y = mx + b, what do m and b tell you?
m is the slope (change in y for each 1-unit increase in x). b is the y-intercept, the value of y when x = 0. In a word problem, b is usually the starting amount and m the rate.
How are the slopes of parallel and perpendicular lines related?
Parallel lines have equal slopes. Perpendicular slopes are negative reciprocals, so their product is −1. A line perpendicular to y = −(1/3)x + 2 has slope 3.
When does a system of two linear equations have no solution? Infinitely many?
No solution: same slope, different y-intercepts (parallel lines). Infinitely many: the equations describe the same line (one is a multiple of the other).
For what value of k does the system 2x + 3y = 6 and kx + 9y = 18 have infinitely many solutions?
k = 6. Multiplying the first equation by 3 gives 6x + 9y = 18, which must match the second equation exactly.
Solve 3(x − 4) = 2x + 5.
x = 17. Distribute: 3x − 12 = 2x + 5, then subtract 2x and add 12.
How do you find the slope of Ax + By = C?
Slope = −A/B. Example: 4x + 2y = 10 has slope −4/2 = −2. (Solve for y if you forget: y = −2x + 5.)
Solve the system x + y = 10 and x − y = 4.
Add the equations: 2x = 14, so x = 7 and y = 3.
A phone plan costs $25 plus $8 per month. What linear model fits, and what does 8 mean?
C = 25 + 8m, where m is months. The 8 is the slope: the cost increases by $8 for each additional month. The 25 is the cost when m = 0.
Solve |x − 3| < 5.
−5 < x − 3 < 5, so −2 < x < 8.
How do you graph y > 2x + 1?
Draw y = 2x + 1 as a dashed line (the line itself is not included) and shade above it. Use a solid line for ≥ or ≤.
What is the quadratic formula?
For ax2 + bx + c = 0: x = (−b ± √(b2 − 4ac)) / (2a).
What does the discriminant b2 − 4ac tell you?
Positive: two real solutions. Zero: exactly one real solution. Negative: no real solutions. Example: x2 + 4x + 7 = 0 has 16 − 28 < 0, so no real solutions.
Where is the vertex of y = a(x − h)2 + k?
At (h, k). The parabola opens up if a > 0 and down if a < 0.
Find the vertex of y = x2 − 6x + 5.
x = −b/(2a) = 6/2 = 3, and y = 9 − 18 + 5 = −4. Vertex: (3, −4).
For ax2 + bx + c = 0, what are the sum and product of the solutions?
Sum = −b/a, product = c/a. For 2x2 − 8x + 6 = 0: sum = 4, product = 3 (the solutions are 1 and 3).
How does a2 − b2 factor?
(a + b)(a − b). Example: x2 − 49 = (x + 7)(x − 7).
Name three exponent rules you will use most.
xa · xb = xa+b; (xa)b = xab; xm/n = the nth root of xm. Also x−a = 1/xa and x0 = 1 (x ≠ 0).
What are the exponential growth and decay models?
Growth: y = a(1 + r)t. Decay: y = a(1 − r)t. $500 growing 4% per year: 500(1.04)t. The base tells you the rate: 0.85 means a 15% decrease each period.
If f(x) = 2x2 − 3, what is f(−2)?
f(−2) = 2(4) − 3 = 5. Square first, then multiply.
If f(x) = x + 3 and g(x) = 2x, what is f(g(4))?
Work inside out: g(4) = 8, then f(8) = 11.
How does y = f(x − h) + k move the graph of f?
Right h units and up k units. y = −f(x) reflects across the x-axis; y = f(−x) reflects across the y-axis.
If p(3) = 0, what do you know about the polynomial p(x)?
3 is a zero (an x-intercept), and (x − 3) is a factor of p(x). More generally, the remainder when p(x) is divided by (x − a) equals p(a).
Solve x2 − 5x − 14 = 0.
(x − 7)(x + 2) = 0, so x = 7 or x = −2.
Solve √(x + 7) = x − 5.
Square: x + 7 = x2 − 10x + 25, so x2 − 11x + 18 = 0 and x = 9 or x = 2. Check: x = 2 gives 3 = −3, which is false. Only x = 9 works.
How do you find percent change?
(new − old) / old × 100%. From 80 to 92: 12/80 = 15% increase.
A price rises 20% and then falls 20%. What is the overall change?
1.20 × 0.80 = 0.96, so the final price is 4% lower than the original. Percent changes multiply; they do not cancel.
Which is affected more by an outlier: the mean or the median?
The mean. One very large or small value pulls the mean toward it, while the median (the middle value) barely moves.
What does standard deviation measure?
How spread out the data are around the mean. A data set whose values cluster tightly near the mean has a smaller standard deviation.
How do you read a conditional probability from a two-way table?
Restrict to the given group first. P(A given B) = (number in both A and B) / (number in B). Watch the word “of” or “given” to find the right total.
Convert 60 miles per hour to feet per second (1 mile = 5,280 feet).
60 × 5,280 / 3,600 = 88 feet per second. Line up units so the ones you do not want cancel.
A recipe uses 3 cups of flour for 4 servings. How much flour for 10 servings?
3/4 = x/10, so x = 7.5 cups.
When can a survey result be generalized?
Only to the population the random sample was drawn from. A random sample of one school’s students supports conclusions about that school, not all teenagers. Random assignment (in an experiment) is what supports cause-and-effect claims.
How do you interpret the slope of a line of best fit?
It is the predicted change in y for each 1-unit increase in x, in the units of the problem. Example: slope 2.5 in a hours-vs-score plot means about 2.5 more points per extra hour.
The mean of five numbers is 12. Four of them are 10, 11, 14 and 15. What is the fifth?
Total = 5 × 12 = 60. The four known numbers add to 50, so the fifth is 10.
Area and circumference of a circle?
Area = πr2; circumference = 2πr. Both are on the reference sheet, but knowing them saves time.
How do you find arc length and sector area from a central angle in degrees?
Arc length = (θ/360) × 2πr. Sector area = (θ/360) × πr2. Radius 9, angle 40°: arc = 2π.
How do degrees and radians convert?
180° = π radians. Multiply degrees by π/180 to get radians. In radians, arc length is simply s = rθ.
Find the center and radius of x2 + y2 − 6x + 4y − 12 = 0.
Complete the square: (x − 3)2 + (y + 2)2 = 12 + 9 + 4 = 25. Center (3, −2), radius 5.
What are the side ratios of the special right triangles?
45-45-90: x, x, x√2. 30-60-90: x (opposite 30°), x√3 (opposite 60°), 2x (hypotenuse).
Which Pythagorean triples are worth memorizing?
3-4-5, 5-12-13, 8-15-17 and 7-24-25, plus their multiples (6-8-10, 9-12-15). a2 + b2 = c2 covers everything else.
What do sine, cosine and tangent equal in a right triangle?
SOH-CAH-TOA: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent.
How are sin x and cos(90° − x) related?
They are equal: sin x = cos(90° − x). So sin 30° = cos 60°. Questions often hide this in the two acute angles of a right triangle.
If two similar figures have a side ratio of k, how do their areas and volumes compare?
Areas scale by k2 and volumes by k3. Doubling every side makes the area 4 times as large.
What is the sum of the interior angles of an n-sided polygon?
(n − 2) × 180°. A hexagon: 4 × 180° = 720°. A triangle’s angles always add to 180°.
Volumes of a cylinder, cone and sphere?
Cylinder πr2h; cone (1/3)πr2h; sphere (4/3)πr3. These are on the reference sheet you get during the test.
A right triangle has legs 6 and 8. What is the hypotenuse, and what is the sine of the angle opposite the side of length 6?
Hypotenuse = 10 (a 3-4-5 triangle doubled). sin = 6/10 = 0.6.
How can Desmos solve a one-variable equation like 3x + 7 = x2 − 5?
Type each side as its own line (y = 3x + 7 and y = x2 − 5) and tap the intersection points. Their x-values are the solutions.
How do you solve a system of equations in Desmos?
Enter both equations exactly as written (no need to solve for y) and tap where the graphs cross.
How do you find a line or curve of best fit in Desmos?
Add a table with your data in x1 and y1, then type y1 ~ mx1 + b (use the tilde). Desmos returns m and b.
How can a slider help when a question has an unknown constant?
Type the equation with the constant as a letter (for example y = x2 + kx + 9), add the slider and move it until the graph meets the condition, such as touching the x-axis once.
About how much time do you have per question in each Math module?
Each module is 35 minutes for 22 questions, roughly 1 minute 35 seconds per question. Mark a slow question, move on and come back.
Should you guess if you are unsure?
Yes. There is no penalty for wrong answers, so never leave a question blank. Eliminate what you can first.
What are the rules for student-produced (grid-in) answers?
You can enter up to 5 characters for a positive answer and up to 6 for a negative one (the minus sign counts). Fractions or decimals are fine; if a fraction does not fit, enter its decimal form. No mixed numbers.

Choose SAT Math practice for your next step

Use these independent Effortless Math activities for topic review and extra practice. For official adaptive digital SAT practice, use College Board’s full-length practice tests in Bluebook. Our practice feedback is a study aid, not an official SAT score.

After practice, mark each missed or guessed question by topic. Open a matching lesson or printable SAT Math worksheet, work a fresh example, then try mixed practice again. The official Math overview explains the four content domains.

Jump into SAT Math

A friendly place to start

See it. Understand it. Try it.

SAT Math Quick Review covers every topic in the SAT skill map. Choose an area, refresh the key idea, and work through a step-by-step example.

Open SAT Math Quick Review

6 study areas · 96 SAT topics · short explanations and worked examples
Pick a direction

Six ways into SAT Math

Every lesson starts with a visual explanation and ends with a chance to practice.

01 · NUMBER SENSE
Numbers & rational numbersCompare values, work with fractions, and keep signs organized.
02 · RATIOS & RATES
Ratios, rates & percentConnect quantities, convert units, and interpret percent change.
03 · ALGEBRA
Algebra & linear equationsSolve equations and read linear relationships.
04 · ADVANCED MATH
Advanced math & quadraticsWork with exponents, polynomials, and nonlinear equations.
05 · GEOMETRY
Geometry & trigonometryUse diagrams, measurements, and right-triangle relationships.
06 · DATA ANALYSIS
Data & probabilityInterpret tables, graphs, averages, and likelihood.
How it worksOne small step at a time
Read the ideaStart with a short, friendly explanation.
See it workFollow the picture and worked example.
Try it yourselfCheck your answer, then take the quiz.
Practice, learn, then review formulas. Start with a worksheet, open the matching SAT lesson, then use Quick Review to strengthen the idea before you try another question.
Why trust Effortless Math?

Join students who study with a clearer path

This test prep online center is part of the Effortless Math library for SAT Math. We connect lessons, worksheets, practice tests, books, and tools so students can study with a clearer next step.

Last updated: October 5, 2026
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SAT Math Skill Quizzes

Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full step-by-step solutions. Each opens right here in a popup.

Quick checks for selected Math skills.Built from the Grade 7 and Algebra 1 math skills that match SAT Math foundations.

SAT Math Topics: Learn, Practice, and Quiz

Choose a topic, open its worksheet for printable practice, then take a short quiz from the same row.

96 topics · worksheets · quizzes

SAT Math Mistakes to Watch For

Use a missed or guessed question to choose your next review. Open a worked check, then follow the link to the matching topic. These examples explain the method and are not official test questions.

1

Answering the requested expression

After solving an equation, reread what the question asks for. It may ask for an expression involving x rather than x itself.

See a worked check

From 3x – 4 = 11, x = 5. If the requested value is 2x + 1, the final answer is 11.

Review the matching topic →

2

Keeping both quadratic solutions

A factored quadratic can have two solutions. Set each factor equal to zero and check any restrictions in the original equation.

See a worked check

For (x – 2)(x + 3) = 0, either x – 2 = 0 or x + 3 = 0. The solutions are 2 and -3.

Review the matching topic →

3

Percent changes with a new base

A percent increase changes the base for the next percent calculation. Equal increase and decrease percentages do not cancel.

See a worked check

Increasing 80 by 20% gives 96. Decreasing 96 by 20% gives 76.8, because the second change uses 96 as its base.

Review the matching topic →

4

Substituting into a function

Replace every occurrence of the input variable and keep parentheses around negative inputs. Then apply the order of operations.

See a worked check

If g(x) = x² – 4x, then g(-2) = (-2)² – 4(-2) = 4 + 8 = 12.

Review the matching topic →

5

Labeling a right triangle

Identify the reference angle before choosing a trig ratio. The opposite and adjacent sides change when the reference angle changes.

See a worked check

In a 6–8–10 right triangle, if the side of length 6 is opposite angle A, sin(A) = 6/10. The hypotenuse is always the side of length 10.

Review the matching topic →

Choose The Right SAT Math Book

Use a study guide when you need explanations; choose a workbook when you need more practice with individual topics. The two options below make those starting points easy to compare.

SAT Math FAQ

How many questions are on the SAT math section?

The digital SAT Math section has 44 questions in two modules, with 35 minutes per module and 70 minutes total. The second module is adaptive, so it is harder or easier depending on how you did on the first. Most questions are multiple choice, and some require you to enter your own answer.

What types of math questions are on the SAT?

SAT math has four content areas. Algebra and Advanced Math each have 13 to 15 questions. Problem-Solving and Data Analysis and Geometry and Trigonometry each have 5 to 7. Common topics include linear equations, slope and intercept, function notation, systems, quadratics, percentages, statistics, and circles and triangles. About 30% of questions are set in context.

Can you use a calculator on the SAT math section?

Yes. You can use a calculator on the entire Math section. The Bluebook app includes a Desmos calculator you can switch between graphing and scientific modes. You can also bring an approved calculator, but calculators with computer algebra systems (CAS) are not allowed.

What is a good SAT math score?

SAT math scores range from 200 to 800. College Board's College and Career Readiness benchmark for math is 530. It means a student has a 75% chance of earning at least a C in a first-semester college math course. Score expectations differ by college, so check the schools on your list.

Where can I take a free SAT math practice test online?

College Board offers free full-length SAT practice tests in the Bluebook app. They use the same adaptive format and built-in calculator as the real test. Paper versions are available for students testing with paper-based accommodations. Use your results to focus practice on topics like functions, slope or data analysis.

What should I practice first for SAT Math?

Start with Linear equations, systems, slope, and graphs. Then use a short mixed practice set to see which skill should come next.

How should I use this SAT Math Online Center?

Begin with the main starting resource, choose one weak skill from the map, practice it, then return to the online center for the next topic or a timed review.

Are there free resources on this page?

Yes. The online center links to free Effortless Math resources such as SAT Math Flashcards, Digital SAT Math Practice Test PDF, Desmos Cheat Sheet.

Which SAT Math skills matter most?

The highest-value areas include Linear equations, systems, slope, and graphs; Quadratics, polynomials, and nonlinear equations; Ratios, percentages, units, and data analysis. Use the skill map as a checklist rather than trying to study everything at once.

When should I use a book or workbook?

Use a book when the student needs a structured sequence, repeated practice, or a printed path that is easier to follow than scattered online links.

Related Online Centers

Make This Your SAT Math Starting Point

Bookmark this online center, choose one weak area, and use the linked practice pages and books to move from scattered review to a clear study path.

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SAT Math: study questions

What sections are on the digital SAT?

The digital SAT has Reading and Writing and Math sections. Reading and Writing has 54 questions in 64 minutes; Math has 44 questions in 70 minutes. Standard testing time is 2 hours and 14 minutes, excluding the break.

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Does this SAT Online Center cover Math or the whole SAT?

This Online Center focuses on SAT Math lessons, practice tests, worksheets, and formula review. It also links to Reading and Writing vocabulary flashcards. Use College Board’s official resources for full SAT practice.

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Are these official SAT preparation materials?

Effortless Math is an independent publisher. Its original materials are preparation resources, and practice results are study feedback rather than official scores. Use the test provider’s website for registration, policies, and official practice.

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Resources from Effortless Math · Editorial standards · Test details checked October 5, 2026