SAT Math Practice Questions
Choose one of the four Math domains, study the skill explanation, work representative examples, and continue into the matching drills. Use the timed Math test when you want a separate section-length pacing check.
Math Domains
Algebra
~35% of Math sectionAlgebra accounts for roughly 35% of Math questions. Its linear equations, functions, systems, and inequalities also support work in the other Math domains.
Advanced Math
~35% of Math sectionAdvanced Math covers quadratics, polynomials, exponentials, nonlinear functions, and equivalent expressions. The domain rewards algebraic fluency plus careful interpretation of how an expression or graph behaves.
Problem Solving & Data Analysis
~15% of Math sectionProblem Solving & Data Analysis tests your ability to interpret real-world data, work with ratios and percentages, and draw valid conclusions from statistics. A calculator is available throughout Math, but these questions still depend on careful reading of tables and graphs.
Geometry & Trigonometry
~15% of Math sectionGeometry & Trigonometry questions cover area, volume, angle relationships, the Pythagorean theorem, and the basics of right-triangle trigonometry. A reference sheet with key formulas is provided during the test, but knowing when and how to apply each formula efficiently is the real skill being assessed.
About the Math Section
The Math section consists of two 35-minute modules of 22 questions each (44 total). The first module contains a broad mix of difficulty levels; your overall performance routes you to a second module with, on average, a higher- or lower-difficulty mix. Your section score reflects performance across both modules, so do not treat the route as a published score threshold.
The built-in graphing calculator is available for every question in the Math section. For Algebra and Advanced Math, this is a powerful tool for checking solutions and visualizing functions. Practice deciding when a graph, table, or intersection is clearer than hand algebra—and when setting up the calculator would add unnecessary work.
Sample Math Questions
See all questionsIf 4x - 7 = 17, what is the value of x?
Show explanation
Correct answer: C. x = 6
Explanation
Add 7 to both sides: 4x = 24. Divide both sides by 4: x = 6. Checking: 4(6) - 7 = 24 - 7 = 17. ✓
Which of the following is equivalent to (x^2 - 4x + 4)/(x - 2)?
Show explanation
Correct answer: C. x - 2
Explanation
Factor the numerator: x^2 - 4x + 4 = (x - 2)^2. So (x-2)^2/(x-2) = x - 2, for x ≠ 2.
Train A leaves City X at 60 mph heading toward City Y, which is 300 miles away. Train B leaves City Y at the same time heading toward City X at 90 mph. How many miles from City X will the trains meet?
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Correct answer: C. 120
Explanation
Combined closing speed = 60 + 90 = 150 mph. Time to meet = 300 / 150 = 2 hours. Distance from City X = 60 × 2 = 120 miles.
A rectangle has a length of 12 cm and a width of 7 cm. What is the area of the rectangle in square centimeters?
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Correct answer: A. 84
Explanation
Area of rectangle = length × width = 12 × 7 = 84 cm².
If (2x + 1)/3 = x - 1, what is the value of x?
Show explanation
Correct answer: B. x = 4
Explanation
Multiply both sides by 3: 2x + 1 = 3(x - 1) = 3x - 3. Subtract 2x: 1 = x - 3. Add 3: x = 4. Check: (2(4)+1)/3 = 9/3 = 3 and 4 - 1 = 3 ✓.
Which of the following is equivalent to 8x^3 - 27?
Show explanation
Correct answer: C. (2x - 3)(4x^2 + 6x + 9)
Explanation
This is a difference of cubes: a^3 - b^3 = (a-b)(a^2+ab+b^2). Here a = 2x, b = 3: (2x)^3 - 3^3 = (2x-3)((2x)^2 + (2x)(3) + 3^2) = (2x-3)(4x^2 + 6x + 9).
A recipe calls for 3 cups of flour for every 2 cups of sugar. If a baker wants to use 9 cups of flour, how many cups of sugar are needed?
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Correct answer: B. 6
Explanation
Set up a proportion: 3/2 = 9/x. Cross-multiplying gives 3x = 18, so x = 6. The baker needs 6 cups of sugar.
A rectangular swimming pool is 20 meters long, 10 meters wide, and 2 meters deep. What is the volume of the pool in cubic meters?
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Correct answer: D. 400
Explanation
Volume of rectangular prism = length × width × height = 20 × 10 × 2 = 400 m³.
Ready to practice?
Continue with more Math practice filtered by domain, difficulty, and score band, or use the timed section test to rehearse pacing.