100+ Free SAT Math Practice Questions

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SAT Reading & Writing

Practice Questions100 questions

2026 Statistics

Key Facts: SAT Math Exam

44 questions

Total SAT Math questions across two 35-minute adaptive modules

College Board Digital SAT Specifications

200–800

SAT Math section score range; college readiness benchmark is 530

College Board

~75% multiple choice

Approximately 33 of 44 SAT Math questions are four-option multiple choice

College Board Digital SAT Test Specifications

35% each

Algebra and Advanced Math each account for ~35% of SAT Math questions

College Board Digital SAT Framework

$68

Standard SAT registration fee (includes both Math and Reading & Writing sections)

College Board SAT registration

March 2024

Digital SAT launched for all U.S. students, replacing the paper-based format entirely

College Board

The Digital SAT Math section has 44 questions across two 35-minute adaptive modules. Algebra and Advanced Math each account for ~35% of questions, while Problem-Solving/Data Analysis and Geometry/Trigonometry each account for ~15%. A Desmos graphing calculator is built into the testing interface and available for all questions. Scores range from 200 to 800; the College Board college readiness benchmark is 530. Strong Module 1 performance is essential because it routes students to the harder Module 2 needed to score above 650–700.

Sample SAT Math Practice Questions

Try these sample questions to test your SAT Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If 3x + 7 = 22, what is the value of x?

A.3

B.4

C.5

D.6

Explanation: Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. Always isolate the variable by performing inverse operations.

2A line passes through the points (0, 4) and (3, 10). What is the slope of the line?

A.2

B.3

C.4

D.6

Explanation: Slope = (y₂ − y₁)/(x₂ − x₁) = (10 − 4)/(3 − 0) = 6/3 = 2. The slope represents the rate of change.

3Which of the following is the solution to the system of equations: 2x + y = 8 and x − y = 1?

A.(2, 4)

B.(3, 2)

C.(4, 0)

D.(1, 6)

Explanation: Adding the two equations: 3x = 9, so x = 3. Substituting back: 3 − y = 1, so y = 2. The solution is (3, 2).

4If 4(x − 2) ≥ 12, what is the smallest integer value of x?

A.4

B.5

C.6

D.7

Explanation: Divide both sides by 4: x − 2 ≥ 3. Add 2: x ≥ 5. The smallest integer satisfying x ≥ 5 is 5.

5The equation y = 5x − 3 represents a linear function. What is the y-intercept?

A.5

B.−3

C.3

D.−5

Explanation: In slope-intercept form y = mx + b, the y-intercept is b. Here b = −3, which is where the line crosses the y-axis.

6A store sells notebooks for $3 each and pens for $1.50 each. Maria spends exactly $18 buying a total of 8 items. How many notebooks did she buy?

A.2

B.3

C.4

D.5

Explanation: Let n = notebooks, p = pens. System: n + p = 8 and 3n + 1.5p = 18. From the first equation p = 8 − n. Substituting: 3n + 1.5(8 − n) = 18 → 3n + 12 − 1.5n = 18 → 1.5n = 6 → n = 4.

7If f(x) = 2x + 6, for what value of x does f(x) = 0?

A.−6

B.−3

C.3

D.6

Explanation: Set 2x + 6 = 0. Subtract 6: 2x = −6. Divide by 2: x = −3. This is the x-intercept of the linear function.

8Which inequality represents the set of x-values for which 2x − 5 < 7?

A.x < 1

B.x < 6

C.x > 6

D.x > −1

Explanation: Add 5 to both sides: 2x < 12. Divide by 2: x < 6. The inequality direction does not change when dividing by a positive number.

9Line ℓ has slope 3/4 and passes through the point (4, 5). What is the equation of line ℓ?

A.y = (3/4)x + 2

B.y = (3/4)x − 2

C.y = (3/4)x + 8

D.y = (4/3)x + 2

Explanation: Using point-slope form: y − 5 = (3/4)(x − 4). Distribute: y − 5 = (3/4)x − 3. Add 5: y = (3/4)x + 2.

10A taxi charges a flat fee of $2.50 plus $1.75 per mile. If a ride costs $14.75, how many miles was the ride?

A.5

B.6

C.7

D.8

Explanation: Set up: 1.75m + 2.50 = 14.75. Subtract 2.50: 1.75m = 12.25. Divide by 1.75: m = 7.

About the SAT Math Exam

The Digital SAT Math section tests students on four content domains: Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. The section is 70 minutes long, split into two adaptive 22-question modules, with a calculator (including Desmos) permitted throughout. Approximately 75% of questions are multiple choice and 25% are student-produced response.

Questions

44 scored questions

Time Limit

70 minutes

Passing Score

Scored 200–800

Exam Fee

Part of $68 SAT registration fee (College Board)

SAT Math Exam Content Outline

~35%

Algebra

Linear equations in one and two variables, linear functions, systems of equations, and linear inequalities. Expect ~15–16 questions.

~35%

Advanced Math

Quadratic equations and functions, exponential growth/decay, polynomials, radical equations, nonlinear systems, and function transformations. Expect ~15–16 questions.

~15%

Problem-Solving and Data Analysis

Ratios, rates, proportions, percentages, statistics (mean, median, standard deviation, IQR), probability, and interpreting graphs and scatterplots. Expect ~6–7 questions.

~15%

Geometry and Trigonometry

Area and volume formulas, angles and triangle properties, right triangle trigonometry (sin/cos/tan), and circle equations and arc length. Expect ~6–7 questions.

How to Pass the SAT Math Exam

What You Need to Know

Passing score: Scored 200–800
Exam length: 44 questions
Time limit: 70 minutes
Exam fee: Part of $68 SAT registration fee

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

SAT Math Study Tips from Top Performers

1Practice completing-the-square and vertex form for quadratics — these appear frequently in both multiple choice and grid-in questions.

2Learn to use Desmos strategically: graphing systems of equations or parabolas to verify answers can save significant time.

3Memorize the Pythagorean triples (3-4-5, 5-12-13, 8-15-17) and 30-60-90 / 45-45-90 triangle ratios for geometry speed.

4In Problem-Solving and Data Analysis, pay close attention to what the slope and y-intercept mean in context — the SAT loves asking about real-world interpretation.

5Do not skip Module 1 questions or rush through them carelessly — strong Module 1 performance routes you to the harder Module 2 needed for scores above 650.

Frequently Asked Questions

Is a calculator allowed on the SAT Math section?

Yes. A calculator is permitted for the entire SAT Math section. The Bluebook testing app includes a built-in Desmos graphing calculator, and students may also bring their own College Board-approved physical calculator.

How is the Digital SAT Math section adaptive?

The section uses multi-stage adaptive testing. All students take the same Module 1. Students who perform well are routed to a harder Module 2; others receive an easier Module 2. Scores above approximately 650–700 require the harder module pathway.

What is the SAT Math score range and college readiness benchmark?

SAT Math is scored 200–800. The College Board's college readiness benchmark is 530, meaning a student scoring 530 has approximately a 75% chance of earning a C or better in a first-semester college course.

What types of questions appear on the SAT Math section?

About 75% of questions (approximately 33 of 44) are four-option multiple choice. The remaining 25% (approximately 11 questions) are student-produced response (SPR) questions where students grid in their own answers.

Which math topics are most heavily tested on the SAT?

Algebra and Advanced Math are the two largest domains, each comprising about 35% of the section (approximately 15–16 questions each). Mastering linear equations, systems, quadratics, and exponentials is critical for a high score.

When does the Digital SAT replace the paper SAT?

The Digital SAT became the standard format for U.S. students starting in March 2024, replacing the prior paper-based SAT entirely. All domestic and international SAT administrations now use the digital adaptive format.